Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [55,2,Mod(4,55)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(55, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("55.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 55 = 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 55.j (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: | \(0.439177211117\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.4 | ||
Root | \(-1.92464 + 0.625353i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 55.14 |
Dual form | 55.2.j.a.4.4 |
$q$-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 \(\left(\mathbb{Z}/55\mathbb{Z}\right)^\times\).
\(n\) | \(12\) | \(46\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.18949 | + | 1.63719i | 0.841097 | + | 1.15767i | 0.985755 | + | 0.168189i | \(0.0537920\pi\) |
−0.144657 | + | 0.989482i | \(0.546208\pi\) | |||||||
\(3\) | −2.49233 | + | 0.809808i | −1.43895 | + | 0.467543i | −0.921570 | − | 0.388213i | \(-0.873093\pi\) |
−0.517380 | + | 0.855756i | \(0.673093\pi\) | |||||||
\(4\) | −0.647481 | + | 1.99274i | −0.323741 | + | 0.996371i | ||||
\(5\) | 1.54147 | − | 1.61983i | 0.689367 | − | 0.724412i | ||||
\(6\) | −4.29042 | − | 3.11717i | −1.75156 | − | 1.27258i | ||||
\(7\) | 0.918552 | + | 0.298456i | 0.347180 | + | 0.112806i | 0.477416 | − | 0.878677i | \(-0.341573\pi\) |
−0.130236 | + | 0.991483i | \(0.541573\pi\) | |||||||
\(8\) | −0.183406 | + | 0.0595923i | −0.0648439 | + | 0.0210691i | ||||
\(9\) | 3.12889 | − | 2.27327i | 1.04296 | − | 0.757756i | ||||
\(10\) | 4.48555 | + | 0.596911i | 1.41846 | + | 0.188760i | ||||
\(11\) | −3.31118 | + | 0.189896i | −0.998360 | + | 0.0572559i | ||||
\(12\) | − | 5.49092i | − | 1.58509i | ||||||
\(13\) | −2.65978 | − | 3.66088i | −0.737691 | − | 1.01534i | −0.998748 | − | 0.0500213i | \(-0.984071\pi\) |
0.261057 | − | 0.965323i | \(-0.415929\pi\) | |||||||
\(14\) | 0.603980 | + | 1.85886i | 0.161420 | + | 0.496801i | ||||
\(15\) | −2.53011 | + | 5.28546i | −0.653271 | + | 1.36470i | ||||
\(16\) | 3.07453 | + | 2.23378i | 0.768633 | + | 0.558445i | ||||
\(17\) | −1.96126 | + | 2.69944i | −0.475675 | + | 0.654710i | −0.977667 | − | 0.210162i | \(-0.932601\pi\) |
0.501992 | + | 0.864872i | \(0.332601\pi\) | |||||||
\(18\) | 7.44357 | + | 2.41856i | 1.75447 | + | 0.570060i | ||||
\(19\) | −1.01283 | − | 3.11717i | −0.232359 | − | 0.715129i | −0.997461 | − | 0.0712189i | \(-0.977311\pi\) |
0.765101 | − | 0.643910i | \(-0.222689\pi\) | |||||||
\(20\) | 2.22984 | + | 4.12057i | 0.498607 | + | 0.921388i | ||||
\(21\) | −2.53103 | −0.552316 | ||||||||
\(22\) | −4.24952 | − | 5.19517i | −0.906001 | − | 1.10761i | ||||
\(23\) | 3.36643i | 0.701948i | 0.936385 | + | 0.350974i | \(0.114149\pi\) | ||||
−0.936385 | + | 0.350974i | \(0.885851\pi\) | |||||||
\(24\) | 0.408851 | − | 0.297048i | 0.0834565 | − | 0.0606347i | ||||
\(25\) | −0.247725 | − | 4.99386i | −0.0495450 | − | 0.998772i | ||||
\(26\) | 2.82978 | − | 8.70916i | 0.554965 | − | 1.70801i | ||||
\(27\) | −1.33628 | + | 1.83923i | −0.257167 | + | 0.353959i | ||||
\(28\) | −1.18949 | + | 1.63719i | −0.224793 | + | 0.309401i | ||||
\(29\) | −1.51820 | + | 4.67254i | −0.281923 | + | 0.867668i | 0.705382 | + | 0.708828i | \(0.250776\pi\) |
−0.987304 | + | 0.158841i | \(0.949224\pi\) | |||||||
\(30\) | −11.6629 | + | 2.14473i | −2.12934 | + | 0.391573i | ||||
\(31\) | 0.338464 | − | 0.245909i | 0.0607900 | − | 0.0441665i | −0.556975 | − | 0.830529i | \(-0.688038\pi\) |
0.617765 | + | 0.786363i | \(0.288038\pi\) | |||||||
\(32\) | 8.07636i | 1.42771i | ||||||||
\(33\) | 8.09880 | − | 3.15471i | 1.40982 | − | 0.549164i | ||||
\(34\) | −6.75241 | −1.15803 | ||||||||
\(35\) | 1.89937 | − | 1.02784i | 0.321052 | − | 0.173737i | ||||
\(36\) | 2.50415 | + | 7.70697i | 0.417358 | + | 1.28449i | ||||
\(37\) | 6.02737 | + | 1.95841i | 0.990894 | + | 0.321961i | 0.759221 | − | 0.650833i | \(-0.225580\pi\) |
0.231673 | + | 0.972794i | \(0.425580\pi\) | |||||||
\(38\) | 3.89867 | − | 5.36605i | 0.632447 | − | 0.870489i | ||||
\(39\) | 9.59368 | + | 6.97021i | 1.53622 | + | 1.11613i | ||||
\(40\) | −0.186186 | + | 0.388948i | −0.0294386 | + | 0.0614980i | ||||
\(41\) | 1.78786 | + | 5.50247i | 0.279217 | + | 0.859341i | 0.988073 | + | 0.153988i | \(0.0492117\pi\) |
−0.708856 | + | 0.705353i | \(0.750788\pi\) | |||||||
\(42\) | −3.01064 | − | 4.14379i | −0.464552 | − | 0.639401i | ||||
\(43\) | 2.26205i | 0.344960i | 0.985013 | + | 0.172480i | \(0.0551780\pi\) | ||||
−0.985013 | + | 0.172480i | \(0.944822\pi\) | |||||||
\(44\) | 1.76552 | − | 6.72129i | 0.266161 | − | 1.01327i | ||||
\(45\) | 1.14077 | − | 8.57246i | 0.170057 | − | 1.27791i | ||||
\(46\) | −5.51149 | + | 4.00433i | −0.812625 | + | 0.590407i | ||||
\(47\) | −4.11260 | + | 1.33626i | −0.599884 | + | 0.194914i | −0.593189 | − | 0.805063i | \(-0.702131\pi\) |
−0.00669531 | + | 0.999978i | \(0.502131\pi\) | |||||||
\(48\) | −9.47169 | − | 3.07754i | −1.36712 | − | 0.444205i | ||||
\(49\) | −4.90846 | − | 3.56620i | −0.701208 | − | 0.509457i | ||||
\(50\) | 7.88125 | − | 6.34573i | 1.11458 | − | 0.897421i | ||||
\(51\) | 2.70208 | − | 8.31615i | 0.378367 | − | 1.16449i | ||||
\(52\) | 9.01735 | − | 2.92991i | 1.25048 | − | 0.406306i | ||||
\(53\) | −1.56392 | − | 2.15255i | −0.214821 | − | 0.295676i | 0.687984 | − | 0.725726i | \(-0.258496\pi\) |
−0.902805 | + | 0.430050i | \(0.858496\pi\) | |||||||
\(54\) | −4.60066 | −0.626071 | ||||||||
\(55\) | −4.79650 | + | 5.65629i | −0.646760 | + | 0.762694i | ||||
\(56\) | −0.186254 | −0.0248892 | ||||||||
\(57\) | 5.04863 | + | 6.94884i | 0.668707 | + | 0.920396i | ||||
\(58\) | −9.45574 | + | 3.07235i | −1.24160 | + | 0.403420i | ||||
\(59\) | 3.12889 | − | 9.62972i | 0.407346 | − | 1.25368i | −0.511574 | − | 0.859239i | \(-0.670937\pi\) |
0.918920 | − | 0.394444i | \(-0.129063\pi\) | |||||||
\(60\) | −8.89437 | − | 8.46410i | −1.14826 | − | 1.09271i | ||||
\(61\) | 1.99897 | + | 1.45233i | 0.255941 | + | 0.185952i | 0.708356 | − | 0.705856i | \(-0.249437\pi\) |
−0.452414 | + | 0.891808i | \(0.649437\pi\) | |||||||
\(62\) | 0.805201 | + | 0.261626i | 0.102261 | + | 0.0332265i | ||||
\(63\) | 3.55252 | − | 1.15428i | 0.447575 | − | 0.145426i | ||||
\(64\) | −7.07350 | + | 5.13920i | −0.884187 | + | 0.642400i | ||||
\(65\) | −10.0300 | − | 1.33473i | −1.24407 | − | 0.165553i | ||||
\(66\) | 14.7983 | + | 9.50680i | 1.82155 | + | 1.17021i | ||||
\(67\) | − | 9.60059i | − | 1.17290i | −0.809986 | − | 0.586449i | \(-0.800525\pi\) | ||
0.809986 | − | 0.586449i | \(-0.199475\pi\) | |||||||
\(68\) | −4.10941 | − | 5.65612i | −0.498339 | − | 0.685905i | ||||
\(69\) | −2.72616 | − | 8.39026i | −0.328191 | − | 1.01007i | ||||
\(70\) | 3.94206 | + | 1.88703i | 0.471166 | + | 0.225544i | ||||
\(71\) | 4.41166 | + | 3.20526i | 0.523567 | + | 0.380394i | 0.817946 | − | 0.575295i | \(-0.195113\pi\) |
−0.294379 | + | 0.955689i | \(0.595113\pi\) | |||||||
\(72\) | −0.438388 | + | 0.603390i | −0.0516646 | + | 0.0711102i | ||||
\(73\) | −1.36528 | − | 0.443607i | −0.159794 | − | 0.0519203i | 0.228028 | − | 0.973655i | \(-0.426772\pi\) |
−0.387822 | + | 0.921734i | \(0.626772\pi\) | |||||||
\(74\) | 3.96321 | + | 12.1975i | 0.460713 | + | 1.41793i | ||||
\(75\) | 4.66148 | + | 12.2458i | 0.538262 | + | 1.41402i | ||||
\(76\) | 6.86752 | 0.787758 | ||||||||
\(77\) | −3.09817 | − | 0.813812i | −0.353069 | − | 0.0927425i | ||||
\(78\) | 23.9977i | 2.71721i | ||||||||
\(79\) | 0.812218 | − | 0.590111i | 0.0913817 | − | 0.0663927i | −0.541156 | − | 0.840922i | \(-0.682013\pi\) |
0.632538 | + | 0.774529i | \(0.282013\pi\) | |||||||
\(80\) | 8.35766 | − | 1.53692i | 0.934415 | − | 0.171833i | ||||
\(81\) | −1.74436 | + | 5.36858i | −0.193818 | + | 0.596509i | ||||
\(82\) | −6.88197 | + | 9.47221i | −0.759986 | + | 1.04603i | ||||
\(83\) | −4.34692 | + | 5.98302i | −0.477136 | + | 0.656721i | −0.977951 | − | 0.208833i | \(-0.933034\pi\) |
0.500815 | + | 0.865554i | \(0.333034\pi\) | |||||||
\(84\) | 1.63880 | − | 5.04369i | 0.178807 | − | 0.550312i | ||||
\(85\) | 1.34942 | + | 7.33802i | 0.146365 | + | 0.795920i | ||||
\(86\) | −3.70342 | + | 2.69069i | −0.399350 | + | 0.290145i | ||||
\(87\) | − | 12.8750i | − | 1.38034i | ||||||
\(88\) | 0.595976 | − | 0.232149i | 0.0635312 | − | 0.0247472i | ||||
\(89\) | 12.1964 | 1.29282 | 0.646410 | − | 0.762991i | \(-0.276270\pi\) | ||||
0.646410 | + | 0.762991i | \(0.276270\pi\) | |||||||
\(90\) | 15.3917 | − | 8.32920i | 1.62243 | − | 0.877974i | ||||
\(91\) | −1.35054 | − | 4.15654i | −0.141575 | − | 0.435723i | ||||
\(92\) | −6.70842 | − | 2.17970i | −0.699401 | − | 0.227249i | ||||
\(93\) | −0.644427 | + | 0.886978i | −0.0668240 | + | 0.0919754i | ||||
\(94\) | −7.07962 | − | 5.14365i | −0.730207 | − | 0.530527i | ||||
\(95\) | −6.61056 | − | 3.16442i | −0.678229 | − | 0.324663i | ||||
\(96\) | −6.54030 | − | 20.1290i | −0.667517 | − | 2.05440i | ||||
\(97\) | 1.77467 | + | 2.44262i | 0.180190 | + | 0.248010i | 0.889552 | − | 0.456834i | \(-0.151017\pi\) |
−0.709362 | + | 0.704844i | \(0.751017\pi\) | |||||||
\(98\) | − | 12.2781i | − | 1.24027i | ||||||
\(99\) | −9.92863 | + | 8.12138i | −0.997865 | + | 0.816229i | ||||
\(100\) | 10.1119 | + | 2.73978i | 1.01119 | + | 0.273978i | ||||
\(101\) | −12.2940 | + | 8.93210i | −1.22330 | + | 0.888777i | −0.996369 | − | 0.0851342i | \(-0.972868\pi\) |
−0.226928 | + | 0.973912i | \(0.572868\pi\) | |||||||
\(102\) | 16.8292 | − | 5.46815i | 1.66634 | − | 0.541428i | ||||
\(103\) | 9.26987 | + | 3.01196i | 0.913387 | + | 0.296778i | 0.727751 | − | 0.685841i | \(-0.240565\pi\) |
0.185636 | + | 0.982619i | \(0.440565\pi\) | |||||||
\(104\) | 0.705981 | + | 0.512925i | 0.0692272 | + | 0.0502965i | ||||
\(105\) | −3.90151 | + | 4.09985i | −0.380749 | + | 0.400104i | ||||
\(106\) | 1.66387 | − | 5.12088i | 0.161610 | − | 0.497384i | ||||
\(107\) | −7.26778 | + | 2.36144i | −0.702602 | + | 0.228289i | −0.638464 | − | 0.769652i | \(-0.720430\pi\) |
−0.0641384 | + | 0.997941i | \(0.520430\pi\) | |||||||
\(108\) | −2.79989 | − | 3.85372i | −0.269420 | − | 0.370825i | ||||
\(109\) | 9.85576 | 0.944010 | 0.472005 | − | 0.881596i | \(-0.343530\pi\) | ||||
0.472005 | + | 0.881596i | \(0.343530\pi\) | |||||||
\(110\) | −14.9658 | − | 1.12469i | −1.42694 | − | 0.107235i | ||||
\(111\) | −16.6082 | −1.57638 | ||||||||
\(112\) | 2.15743 | + | 2.96945i | 0.203858 | + | 0.280587i | ||||
\(113\) | 4.77298 | − | 1.55084i | 0.449004 | − | 0.145890i | −0.0757819 | − | 0.997124i | \(-0.524145\pi\) |
0.524786 | + | 0.851234i | \(0.324145\pi\) | |||||||
\(114\) | −5.37130 | + | 16.5312i | −0.503068 | + | 1.54829i | ||||
\(115\) | 5.45305 | + | 5.18925i | 0.508500 | + | 0.483900i | ||||
\(116\) | −8.32816 | − | 6.05076i | −0.773250 | − | 0.561799i | ||||
\(117\) | −16.6443 | − | 5.40807i | −1.53877 | − | 0.499976i | ||||
\(118\) | 19.4875 | − | 6.33188i | 1.79397 | − | 0.582896i | ||||
\(119\) | −2.60718 | + | 1.89423i | −0.239000 | + | 0.173644i | ||||
\(120\) | 0.149065 | − | 1.12016i | 0.0136077 | − | 0.102256i | ||||
\(121\) | 10.9279 | − | 1.25756i | 0.993444 | − | 0.114324i | ||||
\(122\) | 5.00023i | 0.452700i | ||||||||
\(123\) | −8.91189 | − | 12.2662i | −0.803558 | − | 1.10600i | ||||
\(124\) | 0.270884 | + | 0.833694i | 0.0243261 | + | 0.0748679i | ||||
\(125\) | −8.47108 | − | 7.29662i | −0.757677 | − | 0.652630i | ||||
\(126\) | 6.11547 | + | 4.44315i | 0.544810 | + | 0.395827i | ||||
\(127\) | 4.16764 | − | 5.73626i | 0.369818 | − | 0.509011i | −0.583033 | − | 0.812448i | \(-0.698134\pi\) |
0.952851 | + | 0.303438i | \(0.0981344\pi\) | |||||||
\(128\) | −1.46559 | − | 0.476198i | −0.129541 | − | 0.0420903i | ||||
\(129\) | −1.83183 | − | 5.63779i | −0.161284 | − | 0.496380i | ||||
\(130\) | −9.74537 | − | 18.0087i | −0.854726 | − | 1.57947i | ||||
\(131\) | 7.21704 | 0.630556 | 0.315278 | − | 0.948999i | \(-0.397902\pi\) | ||||
0.315278 | + | 0.948999i | \(0.397902\pi\) | |||||||
\(132\) | 1.04271 | + | 18.1814i | 0.0907559 | + | 1.58249i | ||||
\(133\) | − | 3.16557i | − | 0.274490i | ||||||
\(134\) | 15.7180 | − | 11.4198i | 1.35783 | − | 0.986521i | ||||
\(135\) | 0.919409 | + | 4.99967i | 0.0791301 | + | 0.430303i | ||||
\(136\) | 0.198841 | − | 0.611970i | 0.0170505 | − | 0.0524760i | ||||
\(137\) | 4.99076 | − | 6.86920i | 0.426390 | − | 0.586875i | −0.540730 | − | 0.841196i | \(-0.681852\pi\) |
0.967120 | + | 0.254321i | \(0.0818520\pi\) | |||||||
\(138\) | 10.4937 | − | 14.4434i | 0.893286 | − | 1.22950i | ||||
\(139\) | −2.39184 | + | 7.36133i | −0.202873 | + | 0.624380i | 0.796921 | + | 0.604084i | \(0.206461\pi\) |
−0.999794 | + | 0.0202958i | \(0.993539\pi\) | |||||||
\(140\) | 0.818415 | + | 4.45047i | 0.0691687 | + | 0.376133i | ||||
\(141\) | 9.16785 | − | 6.66083i | 0.772072 | − | 0.560943i | ||||
\(142\) | 11.0354i | 0.926067i | ||||||||
\(143\) | 9.50222 | + | 11.6168i | 0.794615 | + | 0.971442i | ||||
\(144\) | 14.6978 | 1.22482 | ||||||||
\(145\) | 5.22847 | + | 9.66182i | 0.434201 | + | 0.802370i | ||||
\(146\) | −0.897720 | − | 2.76290i | −0.0742958 | − | 0.228659i | ||||
\(147\) | 15.1215 | + | 4.91326i | 1.24720 | + | 0.405239i | ||||
\(148\) | −7.80522 | + | 10.7430i | −0.641585 | + | 0.883067i | ||||
\(149\) | −13.6589 | − | 9.92376i | −1.11898 | − | 0.812986i | −0.134925 | − | 0.990856i | \(-0.543079\pi\) |
−0.984054 | + | 0.177870i | \(0.943079\pi\) | |||||||
\(150\) | −14.5039 | + | 22.1980i | −1.18424 | + | 1.81246i | ||||
\(151\) | −3.79555 | − | 11.6815i | −0.308877 | − | 0.950626i | −0.978202 | − | 0.207656i | \(-0.933416\pi\) |
0.669325 | − | 0.742970i | \(-0.266584\pi\) | |||||||
\(152\) | 0.371519 | + | 0.511353i | 0.0301342 | + | 0.0414762i | ||||
\(153\) | 12.9047i | 1.04328i | ||||||||
\(154\) | −2.35288 | − | 6.04033i | −0.189600 | − | 0.486744i | ||||
\(155\) | 0.123402 | − | 0.927318i | 0.00991190 | − | 0.0744840i | ||||
\(156\) | −20.1016 | + | 14.6046i | −1.60941 | + | 1.16931i | ||||
\(157\) | −4.00368 | + | 1.30087i | −0.319528 | + | 0.103821i | −0.464390 | − | 0.885631i | \(-0.653726\pi\) |
0.144862 | + | 0.989452i | \(0.453726\pi\) | |||||||
\(158\) | 1.93225 | + | 0.627827i | 0.153722 | + | 0.0499472i | ||||
\(159\) | 5.64096 | + | 4.09840i | 0.447357 | + | 0.325024i | ||||
\(160\) | 13.0824 | + | 12.4495i | 1.03425 | + | 0.984218i | ||||
\(161\) | −1.00473 | + | 3.09224i | −0.0791837 | + | 0.243702i | ||||
\(162\) | −10.8643 | + | 3.53003i | −0.853581 | + | 0.277345i | ||||
\(163\) | −9.74169 | − | 13.4083i | −0.763028 | − | 1.05022i | −0.996956 | − | 0.0779643i | \(-0.975158\pi\) |
0.233928 | − | 0.972254i | \(-0.424842\pi\) | |||||||
\(164\) | −12.1226 | −0.946617 | ||||||||
\(165\) | 7.37397 | − | 17.9816i | 0.574062 | − | 1.39987i | ||||
\(166\) | −14.9660 | −1.16159 | ||||||||
\(167\) | −5.38810 | − | 7.41608i | −0.416944 | − | 0.573874i | 0.547951 | − | 0.836510i | \(-0.315408\pi\) |
−0.964895 | + | 0.262637i | \(0.915408\pi\) | |||||||
\(168\) | 0.464207 | − | 0.150830i | 0.0358144 | − | 0.0116368i | ||||
\(169\) | −2.31036 | + | 7.11055i | −0.177720 | + | 0.546965i | ||||
\(170\) | −10.4086 | + | 10.9378i | −0.798307 | + | 0.838889i | ||||
\(171\) | −10.2552 | − | 7.45085i | −0.784236 | − | 0.569781i | ||||
\(172\) | −4.50769 | − | 1.46464i | −0.343708 | − | 0.111678i | ||||
\(173\) | −3.90853 | + | 1.26996i | −0.297160 | + | 0.0965531i | −0.453803 | − | 0.891102i | \(-0.649933\pi\) |
0.156643 | + | 0.987655i | \(0.449933\pi\) | |||||||
\(174\) | 21.0788 | − | 15.3147i | 1.59798 | − | 1.16100i | ||||
\(175\) | 1.26290 | − | 4.66106i | 0.0954661 | − | 0.352343i | ||||
\(176\) | −10.6045 | − | 6.81261i | −0.799346 | − | 0.513520i | ||||
\(177\) | 26.5343i | 1.99444i | ||||||||
\(178\) | 14.5075 | + | 19.9679i | 1.08739 | + | 1.49666i | ||||
\(179\) | 5.03576 | + | 15.4985i | 0.376390 | + | 1.15841i | 0.942536 | + | 0.334105i | \(0.108434\pi\) |
−0.566145 | + | 0.824305i | \(0.691566\pi\) | |||||||
\(180\) | 16.3441 | + | 7.82378i | 1.21822 | + | 0.583150i | ||||
\(181\) | 4.48753 | + | 3.26038i | 0.333555 | + | 0.242342i | 0.741938 | − | 0.670469i | \(-0.233907\pi\) |
−0.408382 | + | 0.912811i | \(0.633907\pi\) | |||||||
\(182\) | 5.19860 | − | 7.15526i | 0.385346 | − | 0.530383i | ||||
\(183\) | −6.15820 | − | 2.00092i | −0.455227 | − | 0.147912i | ||||
\(184\) | −0.200613 | − | 0.617424i | −0.0147894 | − | 0.0455171i | ||||
\(185\) | 12.4633 | − | 6.74451i | 0.916322 | − | 0.495866i | ||||
\(186\) | −2.21870 | −0.162683 | ||||||||
\(187\) | 5.98147 | − | 9.31078i | 0.437408 | − | 0.680871i | ||||
\(188\) | − | 9.06056i | − | 0.660809i | ||||||
\(189\) | −1.77637 | + | 1.29061i | −0.129212 | + | 0.0938779i | ||||
\(190\) | −2.68243 | − | 14.5868i | −0.194604 | − | 1.05824i | ||||
\(191\) | 6.74155 | − | 20.7484i | 0.487802 | − | 1.50130i | −0.340080 | − | 0.940396i | \(-0.610454\pi\) |
0.827882 | − | 0.560903i | \(-0.189546\pi\) | |||||||
\(192\) | 13.4678 | − | 18.5368i | 0.971951 | − | 1.33778i | ||||
\(193\) | −13.2128 | + | 18.1858i | −0.951076 | + | 1.30904i | −2.83481e−5 | 1.00000i | \(0.500009\pi\) | |
−0.951048 | + | 0.309044i | \(0.899991\pi\) | |||||||
\(194\) | −1.88809 | + | 5.81094i | −0.135557 | + | 0.417201i | ||||
\(195\) | 26.0790 | − | 4.79577i | 1.86755 | − | 0.343432i | ||||
\(196\) | 10.2847 | − | 7.47224i | 0.734619 | − | 0.533732i | ||||
\(197\) | − | 25.7479i | − | 1.83446i | −0.398358 | − | 0.917230i | \(-0.630420\pi\) | ||
0.398358 | − | 0.917230i | \(-0.369580\pi\) | |||||||
\(198\) | −25.1063 | − | 6.59480i | −1.78423 | − | 0.468672i | ||||
\(199\) | −16.9671 | −1.20277 | −0.601385 | − | 0.798960i | \(-0.705384\pi\) | ||||
−0.601385 | + | 0.798960i | \(0.705384\pi\) | |||||||
\(200\) | 0.343030 | + | 0.901143i | 0.0242559 | + | 0.0637204i | ||||
\(201\) | 7.77463 | + | 23.9279i | 0.548380 | + | 1.68774i | ||||
\(202\) | −29.2472 | − | 9.50298i | −2.05782 | − | 0.668627i | ||||
\(203\) | −2.78909 | + | 3.83886i | −0.195756 | + | 0.269435i | ||||
\(204\) | 14.8224 | + | 10.7691i | 1.03778 | + | 0.753988i | ||||
\(205\) | 11.6690 | + | 5.58587i | 0.815000 | + | 0.390134i | ||||
\(206\) | 6.09526 | + | 18.7593i | 0.424677 | + | 1.30702i | ||||
\(207\) | 7.65279 | + | 10.5332i | 0.531906 | + | 0.732106i | ||||
\(208\) | − | 17.1969i | − | 1.19239i | ||||||
\(209\) | 3.94561 | + | 10.1292i | 0.272924 | + | 0.700652i | ||||
\(210\) | −11.3531 | − | 1.51080i | −0.783436 | − | 0.104255i | ||||
\(211\) | 4.71363 | − | 3.42465i | 0.324500 | − | 0.235763i | −0.413593 | − | 0.910462i | \(-0.635726\pi\) |
0.738093 | + | 0.674699i | \(0.235726\pi\) | |||||||
\(212\) | 5.30209 | − | 1.72275i | 0.364149 | − | 0.118319i | ||||
\(213\) | −13.5910 | − | 4.41597i | −0.931238 | − | 0.302577i | ||||
\(214\) | −12.5111 | − | 9.08984i | −0.855241 | − | 0.621369i | ||||
\(215\) | 3.66415 | + | 3.48689i | 0.249893 | + | 0.237804i | ||||
\(216\) | 0.135478 | − | 0.416958i | 0.00921810 | − | 0.0283704i | ||||
\(217\) | 0.384290 | − | 0.124863i | 0.0260873 | − | 0.00847628i | ||||
\(218\) | 11.7233 | + | 16.1358i | 0.794005 | + | 1.09285i | ||||
\(219\) | 3.76197 | 0.254211 | ||||||||
\(220\) | −8.16589 | − | 13.2205i | −0.550544 | − | 0.891328i | ||||
\(221\) | 15.0988 | 1.01566 | ||||||||
\(222\) | −19.7553 | − | 27.1908i | −1.32589 | − | 1.82493i | ||||
\(223\) | 18.0913 | − | 5.87820i | 1.21148 | − | 0.393634i | 0.367508 | − | 0.930020i | \(-0.380211\pi\) |
0.843972 | + | 0.536387i | \(0.180211\pi\) | |||||||
\(224\) | −2.41043 | + | 7.41856i | −0.161054 | + | 0.495673i | ||||
\(225\) | −12.1275 | − | 15.0621i | −0.808499 | − | 1.00414i | ||||
\(226\) | 8.21644 | + | 5.96959i | 0.546549 | + | 0.397091i | ||||
\(227\) | 27.0727 | + | 8.79646i | 1.79688 | + | 0.583841i | 0.999799 | − | 0.0200332i | \(-0.00637719\pi\) |
0.797079 | + | 0.603874i | \(0.206377\pi\) | |||||||
\(228\) | −17.1161 | + | 5.56137i | −1.13354 | + | 0.368311i | ||||
\(229\) | −20.5420 | + | 14.9247i | −1.35746 | + | 0.986250i | −0.358854 | + | 0.933394i | \(0.616832\pi\) |
−0.998602 | + | 0.0528558i | \(0.983168\pi\) | |||||||
\(230\) | −2.00946 | + | 15.1003i | −0.132500 | + | 0.995682i | ||||
\(231\) | 8.38071 | − | 0.480634i | 0.551410 | − | 0.0316234i | ||||
\(232\) | − | 0.947446i | − | 0.0622029i | ||||||
\(233\) | 7.35755 | + | 10.1268i | 0.482009 | + | 0.663429i | 0.978890 | − | 0.204390i | \(-0.0655211\pi\) |
−0.496880 | + | 0.867819i | \(0.665521\pi\) | |||||||
\(234\) | −10.9442 | − | 33.6828i | −0.715446 | − | 2.20192i | ||||
\(235\) | −4.17493 | + | 8.72154i | −0.272342 | + | 0.568931i | ||||
\(236\) | 17.1637 | + | 12.4701i | 1.11726 | + | 0.811737i | ||||
\(237\) | −1.54644 | + | 2.12849i | −0.100452 | + | 0.138261i | ||||
\(238\) | −6.20244 | − | 2.01529i | −0.402044 | − | 0.130632i | ||||
\(239\) | −6.30011 | − | 19.3897i | −0.407520 | − | 1.25422i | −0.918773 | − | 0.394787i | \(-0.870818\pi\) |
0.511252 | − | 0.859431i | \(-0.329182\pi\) | |||||||
\(240\) | −19.5855 | + | 10.5986i | −1.26424 | + | 0.684139i | ||||
\(241\) | −22.7935 | −1.46826 | −0.734129 | − | 0.679010i | \(-0.762409\pi\) | ||||
−0.734129 | + | 0.679010i | \(0.762409\pi\) | |||||||
\(242\) | 15.0575 | + | 16.3952i | 0.967932 | + | 1.05392i | ||||
\(243\) | − | 21.6131i | − | 1.38648i | ||||||
\(244\) | −4.18842 | + | 3.04307i | −0.268136 | + | 0.194812i | ||||
\(245\) | −13.3429 | + | 2.45368i | −0.852447 | + | 0.156760i | ||||
\(246\) | 9.48148 | − | 29.1810i | 0.604517 | − | 1.86051i | ||||
\(247\) | −8.71768 | + | 11.9989i | −0.554693 | + | 0.763469i | ||||
\(248\) | −0.0474222 | + | 0.0652711i | −0.00301132 | + | 0.00414472i | ||||
\(249\) | 5.98887 | − | 18.4318i | 0.379529 | − | 1.16807i | ||||
\(250\) | 1.86971 | − | 22.5481i | 0.118251 | − | 1.42607i | ||||
\(251\) | −13.7151 | + | 9.96460i | −0.865689 | + | 0.628960i | −0.929427 | − | 0.369007i | \(-0.879698\pi\) |
0.0637374 | + | 0.997967i | \(0.479698\pi\) | |||||||
\(252\) | 7.82663i | 0.493031i | ||||||||
\(253\) | −0.639272 | − | 11.1469i | −0.0401907 | − | 0.700797i | ||||
\(254\) | 14.3487 | 0.900320 | ||||||||
\(255\) | −9.30560 | − | 17.1960i | −0.582739 | − | 1.07686i | ||||
\(256\) | 4.44000 | + | 13.6649i | 0.277500 | + | 0.854057i | ||||
\(257\) | 4.50405 | + | 1.46346i | 0.280955 | + | 0.0912879i | 0.446105 | − | 0.894981i | \(-0.352811\pi\) |
−0.165150 | + | 0.986268i | \(0.552811\pi\) | |||||||
\(258\) | 7.05121 | − | 9.70516i | 0.438989 | − | 0.604217i | ||||
\(259\) | 4.95196 | + | 3.59781i | 0.307700 | + | 0.223557i | ||||
\(260\) | 9.15402 | − | 19.1230i | 0.567708 | − | 1.18596i | ||||
\(261\) | 5.87166 | + | 18.0711i | 0.363447 | + | 1.11857i | ||||
\(262\) | 8.58461 | + | 11.8157i | 0.530359 | + | 0.729976i | ||||
\(263\) | 18.1037i | 1.11632i | 0.829732 | + | 0.558162i | \(0.188493\pi\) | ||||
−0.829732 | + | 0.558162i | \(0.811507\pi\) | |||||||
\(264\) | −1.29737 | + | 1.06122i | −0.0798479 | + | 0.0653136i | ||||
\(265\) | −5.89751 | − | 0.784807i | −0.362281 | − | 0.0482103i | ||||
\(266\) | 5.18266 | − | 3.76542i | 0.317769 | − | 0.230873i | ||||
\(267\) | −30.3976 | + | 9.87677i | −1.86030 | + | 0.604449i | ||||
\(268\) | 19.1315 | + | 6.21620i | 1.16864 | + | 0.379715i | ||||
\(269\) | −1.85914 | − | 1.35074i | −0.113354 | − | 0.0823562i | 0.529664 | − | 0.848207i | \(-0.322318\pi\) |
−0.643018 | + | 0.765851i | \(0.722318\pi\) | |||||||
\(270\) | −7.09179 | + | 7.45231i | −0.431593 | + | 0.453533i | ||||
\(271\) | 0.248971 | − | 0.766255i | 0.0151239 | − | 0.0465467i | −0.943210 | − | 0.332198i | \(-0.892210\pi\) |
0.958334 | + | 0.285651i | \(0.0922098\pi\) | |||||||
\(272\) | −12.0599 | + | 3.91850i | −0.731239 | + | 0.237594i | ||||
\(273\) | 6.73199 | + | 9.26579i | 0.407439 | + | 0.560791i | ||||
\(274\) | 17.1827 | 1.03804 | ||||||||
\(275\) | 1.76858 | + | 16.4885i | 0.106649 | + | 0.994297i | ||||
\(276\) | 18.4848 | 1.11265 | ||||||||
\(277\) | 6.95521 | + | 9.57302i | 0.417898 | + | 0.575187i | 0.965122 | − | 0.261799i | \(-0.0843157\pi\) |
−0.547225 | + | 0.836986i | \(0.684316\pi\) | |||||||
\(278\) | −14.8970 | + | 4.84033i | −0.893462 | + | 0.290304i | ||||
\(279\) | 0.500000 | − | 1.53884i | 0.0299342 | − | 0.0921280i | ||||
\(280\) | −0.287105 | + | 0.301701i | −0.0171578 | + | 0.0180301i | ||||
\(281\) | −5.03960 | − | 3.66148i | −0.300637 | − | 0.218426i | 0.427231 | − | 0.904142i | \(-0.359489\pi\) |
−0.727869 | + | 0.685717i | \(0.759489\pi\) | |||||||
\(282\) | 21.8101 | + | 7.08655i | 1.29878 | + | 0.421998i | ||||
\(283\) | −8.22250 | + | 2.67165i | −0.488777 | + | 0.158813i | −0.543029 | − | 0.839714i | \(-0.682723\pi\) |
0.0542519 | + | 0.998527i | \(0.482723\pi\) | |||||||
\(284\) | −9.24372 | + | 6.71596i | −0.548514 | + | 0.398519i | ||||
\(285\) | 19.0383 | + | 2.53351i | 1.12773 | + | 0.150072i | ||||
\(286\) | −7.71608 | + | 29.3750i | −0.456261 | + | 1.73698i | ||||
\(287\) | 5.58790i | 0.329843i | ||||||||
\(288\) | 18.3597 | + | 25.2700i | 1.08186 | + | 1.48905i | ||||
\(289\) | 1.81285 | + | 5.57937i | 0.106638 | + | 0.328198i | ||||
\(290\) | −9.59905 | + | 20.0527i | −0.563676 | + | 1.17753i | ||||
\(291\) | −6.40111 | − | 4.65068i | −0.375240 | − | 0.272628i | ||||
\(292\) | 1.76799 | − | 2.43343i | 0.103464 | − | 0.142406i | ||||
\(293\) | −5.52610 | − | 1.79554i | −0.322838 | − | 0.104896i | 0.143115 | − | 0.989706i | \(-0.454288\pi\) |
−0.465953 | + | 0.884810i | \(0.654288\pi\) | |||||||
\(294\) | 9.94288 | + | 30.6010i | 0.579880 | + | 1.78469i | ||||
\(295\) | −10.7755 | − | 19.9122i | −0.627372 | − | 1.15933i | ||||
\(296\) | −1.22216 | −0.0710369 | ||||||||
\(297\) | 4.07540 | − | 6.34377i | 0.236478 | − | 0.368103i | ||||
\(298\) | − | 34.1665i | − | 1.97921i | ||||||
\(299\) | 12.3241 | − | 8.95396i | 0.712719 | − | 0.517821i | ||||
\(300\) | −27.4209 | + | 1.36024i | −1.58314 | + | 0.0785333i | ||||
\(301\) | −0.675123 | + | 2.07781i | −0.0389134 | + | 0.119763i | ||||
\(302\) | 14.6101 | − | 20.1091i | 0.840717 | − | 1.15715i | ||||
\(303\) | 23.4074 | − | 32.2176i | 1.34472 | − | 1.85085i | ||||
\(304\) | 3.84909 | − | 11.8463i | 0.220761 | − | 0.679432i | ||||
\(305\) | 5.43389 | − | 0.999260i | 0.311144 | − | 0.0572175i | ||||
\(306\) | −21.1275 | + | 15.3500i | −1.20778 | + | 0.877503i | ||||
\(307\) | 18.4721i | 1.05426i | 0.849785 | + | 0.527130i | \(0.176732\pi\) | ||||
−0.849785 | + | 0.527130i | \(0.823268\pi\) | |||||||
\(308\) | 3.62773 | − | 5.64693i | 0.206709 | − | 0.321764i | ||||
\(309\) | −25.5427 | −1.45307 | ||||||||
\(310\) | 1.66499 | − | 0.901003i | 0.0945648 | − | 0.0511735i | ||||
\(311\) | −3.50158 | − | 10.7768i | −0.198557 | − | 0.611094i | −0.999917 | − | 0.0129120i | \(-0.995890\pi\) |
0.801360 | − | 0.598182i | \(-0.204110\pi\) | |||||||
\(312\) | −2.17491 | − | 0.706672i | −0.123130 | − | 0.0400074i | ||||
\(313\) | 3.00651 | − | 4.13811i | 0.169938 | − | 0.233900i | −0.715550 | − | 0.698561i | \(-0.753824\pi\) |
0.885488 | + | 0.464661i | \(0.153824\pi\) | |||||||
\(314\) | −6.89212 | − | 5.00742i | −0.388945 | − | 0.282585i | ||||
\(315\) | 3.60636 | − | 7.53378i | 0.203195 | − | 0.424481i | ||||
\(316\) | 0.650043 | + | 2.00063i | 0.0365678 | + | 0.112544i | ||||
\(317\) | −6.94368 | − | 9.55715i | −0.389996 | − | 0.536783i | 0.568202 | − | 0.822889i | \(-0.307639\pi\) |
−0.958198 | + | 0.286106i | \(0.907639\pi\) | |||||||
\(318\) | 14.1104i | 0.791270i | ||||||||
\(319\) | 4.13974 | − | 15.7599i | 0.231781 | − | 0.882387i | ||||
\(320\) | −2.57896 | + | 19.3798i | −0.144168 | + | 1.08337i | ||||
\(321\) | 16.2014 | − | 11.7710i | 0.904274 | − | 0.656994i | ||||
\(322\) | −6.25771 | + | 2.03325i | −0.348729 | + | 0.113309i | ||||
\(323\) | 10.4010 | + | 3.37951i | 0.578730 | + | 0.188041i | ||||
\(324\) | −9.56877 | − | 6.95212i | −0.531598 | − | 0.386229i | ||||
\(325\) | −17.6230 | + | 14.1895i | −0.977549 | + | 0.787090i | ||||
\(326\) | 10.3643 | − | 31.8981i | 0.574026 | − | 1.76667i | ||||
\(327\) | −24.5638 | + | 7.98127i | −1.35838 | + | 0.441365i | ||||
\(328\) | −0.655810 | − | 0.902645i | −0.0362110 | − | 0.0498402i | ||||
\(329\) | −4.17645 | −0.230255 | ||||||||
\(330\) | 38.2106 | − | 9.31635i | 2.10343 | − | 0.512848i | ||||
\(331\) | 29.2692 | 1.60878 | 0.804391 | − | 0.594100i | \(-0.202492\pi\) | ||||
0.804391 | + | 0.594100i | \(0.202492\pi\) | |||||||
\(332\) | −9.10807 | − | 12.5362i | −0.499870 | − | 0.688012i | ||||
\(333\) | 23.3110 | − | 7.57419i | 1.27743 | − | 0.415063i | ||||
\(334\) | 5.73247 | − | 17.6427i | 0.313667 | − | 0.965367i | ||||
\(335\) | −15.5514 | − | 14.7990i | −0.849661 | − | 0.808558i | ||||
\(336\) | −7.78174 | − | 5.65376i | −0.424529 | − | 0.308438i | ||||
\(337\) | −25.3400 | − | 8.23348i | −1.38036 | − | 0.448506i | −0.477572 | − | 0.878593i | \(-0.658483\pi\) |
−0.902788 | + | 0.430087i | \(0.858483\pi\) | |||||||
\(338\) | −14.3895 | + | 4.67543i | −0.782685 | + | 0.254310i | ||||
\(339\) | −10.6400 | + | 7.73040i | −0.577885 | + | 0.419858i | ||||
\(340\) | −15.4965 | − | 2.06219i | −0.840417 | − | 0.111838i | ||||
\(341\) | −1.07402 | + | 0.878523i | −0.0581615 | + | 0.0475747i | ||||
\(342\) | − | 25.6525i | − | 1.38713i | ||||||
\(343\) | −7.41820 | − | 10.2103i | −0.400545 | − | 0.551303i | ||||
\(344\) | −0.134801 | − | 0.414875i | −0.00726798 | − | 0.0223686i | ||||
\(345\) | −17.7931 | − | 8.51742i | −0.957949 | − | 0.458563i | ||||
\(346\) | −6.72833 | − | 4.88842i | −0.361717 | − | 0.262803i | ||||
\(347\) | 2.53411 | − | 3.48790i | 0.136038 | − | 0.187240i | −0.735563 | − | 0.677457i | \(-0.763082\pi\) |
0.871601 | + | 0.490216i | \(0.163082\pi\) | |||||||
\(348\) | 25.6565 | + | 8.33631i | 1.37533 | + | 0.446873i | ||||
\(349\) | 4.06960 | + | 12.5249i | 0.217841 | + | 0.670444i | 0.998940 | + | 0.0460373i | \(0.0146593\pi\) |
−0.781099 | + | 0.624407i | \(0.785341\pi\) | |||||||
\(350\) | 9.13326 | − | 3.47668i | 0.488193 | − | 0.185836i | ||||
\(351\) | 10.2874 | 0.549100 | ||||||||
\(352\) | −1.53367 | − | 26.7423i | −0.0817449 | − | 1.42537i | ||||
\(353\) | − | 25.4904i | − | 1.35672i | −0.734732 | − | 0.678358i | \(-0.762692\pi\) | ||
0.734732 | − | 0.678358i | \(-0.237308\pi\) | |||||||
\(354\) | −43.4418 | + | 31.5623i | −2.30890 | + | 1.67752i | ||||
\(355\) | 11.9924 | − | 2.20534i | 0.636492 | − | 0.117047i | ||||
\(356\) | −7.89696 | + | 24.3044i | −0.418538 | + | 1.28813i | ||||
\(357\) | 4.96400 | − | 6.83237i | 0.262723 | − | 0.361607i | ||||
\(358\) | −19.3840 | + | 26.6798i | −1.02448 | + | 1.41007i | ||||
\(359\) | −8.11915 | + | 24.9882i | −0.428512 | + | 1.31883i | 0.471078 | + | 0.882091i | \(0.343865\pi\) |
−0.899591 | + | 0.436734i | \(0.856135\pi\) | |||||||
\(360\) | 0.301628 | + | 1.64022i | 0.0158972 | + | 0.0864474i | ||||
\(361\) | 6.68037 | − | 4.85358i | 0.351599 | − | 0.255451i | ||||
\(362\) | 11.2252i | 0.589981i | ||||||||
\(363\) | −26.2175 | + | 11.9838i | −1.37606 | + | 0.628984i | ||||
\(364\) | 9.15736 | 0.479976 | ||||||||
\(365\) | −2.82311 | + | 1.52772i | −0.147769 | + | 0.0799646i | ||||
\(366\) | −4.04923 | − | 12.4622i | −0.211657 | − | 0.651412i | ||||
\(367\) | 1.91993 | + | 0.623823i | 0.100220 | + | 0.0325633i | 0.358698 | − | 0.933454i | \(-0.383221\pi\) |
−0.258478 | + | 0.966017i | \(0.583221\pi\) | |||||||
\(368\) | −7.51985 | + | 10.3502i | −0.391999 | + | 0.539541i | ||||
\(369\) | 18.1026 | + | 13.1523i | 0.942384 | + | 0.684682i | ||||
\(370\) | 25.8671 | + | 12.3824i | 1.34477 | + | 0.643729i | ||||
\(371\) | −0.794101 | − | 2.44399i | −0.0412277 | − | 0.126886i | ||||
\(372\) | −1.35026 | − | 1.85848i | −0.0700080 | − | 0.0963577i | ||||
\(373\) | 8.87153i | 0.459351i | 0.973267 | + | 0.229675i | \(0.0737664\pi\) | ||||
−0.973267 | + | 0.229675i | \(0.926234\pi\) | |||||||
\(374\) | 22.3585 | − | 1.28226i | 1.15613 | − | 0.0663040i | ||||
\(375\) | 27.0216 | + | 11.3257i | 1.39539 | + | 0.584855i | ||||
\(376\) | 0.674645 | − | 0.490159i | 0.0347922 | − | 0.0252780i | ||||
\(377\) | 21.1437 | − | 6.86999i | 1.08895 | − | 0.353823i | ||||
\(378\) | −4.22595 | − | 1.37309i | −0.217359 | − | 0.0706243i | ||||
\(379\) | 17.0412 | + | 12.3812i | 0.875348 | + | 0.635978i | 0.932017 | − | 0.362415i | \(-0.118048\pi\) |
−0.0566685 | + | 0.998393i | \(0.518048\pi\) | |||||||
\(380\) | 10.5861 | − | 11.1242i | 0.543055 | − | 0.570661i | ||||
\(381\) | −5.74187 | + | 17.6717i | −0.294165 | + | 0.905346i | ||||
\(382\) | 41.9881 | − | 13.6428i | 2.14830 | − | 0.698025i | ||||
\(383\) | 15.2704 | + | 21.0179i | 0.780281 | + | 1.07396i | 0.995251 | + | 0.0973436i | \(0.0310346\pi\) |
−0.214970 | + | 0.976621i | \(0.568965\pi\) | |||||||
\(384\) | 4.03836 | 0.206082 | ||||||||
\(385\) | −6.09399 | + | 3.76405i | −0.310578 | + | 0.191834i | ||||
\(386\) | −45.4902 | −2.31539 | ||||||||
\(387\) | 5.14225 | + | 7.07771i | 0.261396 | + | 0.359780i | ||||
\(388\) | −6.01657 | + | 1.95490i | −0.305445 | + | 0.0992451i | ||||
\(389\) | 0.507965 | − | 1.56335i | 0.0257548 | − | 0.0792652i | −0.937353 | − | 0.348381i | \(-0.886731\pi\) |
0.963108 | + | 0.269116i | \(0.0867315\pi\) | |||||||
\(390\) | 38.8723 | + | 36.9918i | 1.96838 | + | 1.87315i | ||||
\(391\) | −9.08746 | − | 6.60243i | −0.459573 | − | 0.333899i | ||||
\(392\) | 1.11276 | + | 0.361558i | 0.0562029 | + | 0.0182614i | ||||
\(393\) | −17.9873 | + | 5.84442i | −0.907338 | + | 0.294812i | ||||
\(394\) | 42.1543 | − | 30.6269i | 2.12370 | − | 1.54296i | ||||
\(395\) | 0.296130 | − | 2.22530i | 0.0148999 | − | 0.111967i | ||||
\(396\) | −9.75521 | − | 25.0437i | −0.490218 | − | 1.25849i | ||||
\(397\) | 16.7088i | 0.838588i | 0.907850 | + | 0.419294i | \(0.137722\pi\) | ||||
−0.907850 | + | 0.419294i | \(0.862278\pi\) | |||||||
\(398\) | −20.1823 | − | 27.7785i | −1.01165 | − | 1.39241i | ||||
\(399\) | 2.56351 | + | 7.88966i | 0.128336 | + | 0.394977i | ||||
\(400\) | 10.3935 | − | 15.9071i | 0.519677 | − | 0.795357i | ||||
\(401\) | −22.4842 | − | 16.3357i | −1.12281 | − | 0.815766i | −0.138174 | − | 0.990408i | \(-0.544123\pi\) |
−0.984632 | + | 0.174641i | \(0.944123\pi\) | |||||||
\(402\) | −29.9267 | + | 41.1906i | −1.49261 | + | 2.05440i | ||||
\(403\) | −1.80048 | − | 0.585013i | −0.0896885 | − | 0.0291416i | ||||
\(404\) | −9.83926 | − | 30.2821i | −0.489521 | − | 1.50659i | ||||
\(405\) | 6.00733 | + | 11.1011i | 0.298507 | + | 0.551618i | ||||
\(406\) | −9.60255 | −0.476567 | ||||||||
\(407\) | −20.3296 | − | 5.34009i | −1.00770 | − | 0.264698i | ||||
\(408\) | 1.68626i | 0.0834822i | ||||||||
\(409\) | 31.9019 | − | 23.1781i | 1.57745 | − | 1.14608i | 0.657902 | − | 0.753104i | \(-0.271444\pi\) |
0.919547 | − | 0.392980i | \(-0.128556\pi\) | |||||||
\(410\) | 4.73505 | + | 25.7488i | 0.233848 | + | 1.27164i | ||||
\(411\) | −6.87591 | + | 21.1619i | −0.339164 | + | 1.04384i | ||||
\(412\) | −12.0041 | + | 16.5223i | −0.591401 | + | 0.813994i | ||||
\(413\) | 5.74809 | − | 7.91157i | 0.282845 | − | 0.389303i | ||||
\(414\) | −8.14191 | + | 25.0582i | −0.400153 | + | 1.23154i | ||||
\(415\) | 2.99084 | + | 16.2639i | 0.146815 | + | 0.798365i | ||||
\(416\) | 29.5665 | − | 21.4814i | 1.44962 | − | 1.05321i | ||||
\(417\) | − | 20.2838i | − | 0.993303i | ||||||
\(418\) | −11.8902 | + | 18.5083i | −0.581569 | + | 0.905272i | ||||
\(419\) | −14.7812 | −0.722111 | −0.361055 | − | 0.932544i | \(-0.617583\pi\) | ||||
−0.361055 | + | 0.932544i | \(0.617583\pi\) | |||||||
\(420\) | −5.64379 | − | 10.4293i | −0.275389 | − | 0.508897i | ||||
\(421\) | −3.33036 | − | 10.2498i | −0.162312 | − | 0.499545i | 0.836516 | − | 0.547942i | \(-0.184589\pi\) |
−0.998828 | + | 0.0483974i | \(0.984589\pi\) | |||||||
\(422\) | 11.2136 | + | 3.64354i | 0.545872 | + | 0.177365i | ||||
\(423\) | −9.83016 | + | 13.5301i | −0.477959 | + | 0.657854i | ||||
\(424\) | 0.415108 | + | 0.301594i | 0.0201594 | + | 0.0146467i | ||||
\(425\) | 13.9665 | + | 9.12553i | 0.677474 | + | 0.442653i | ||||
\(426\) | −8.93653 | − | 27.5038i | −0.432976 | − | 1.33256i | ||||
\(427\) | 1.40270 | + | 1.93065i | 0.0678813 | + | 0.0934306i | ||||
\(428\) | − | 16.0118i | − | 0.773960i | ||||||
\(429\) | −33.0900 | − | 21.2579i | −1.59760 | − | 1.02634i | ||||
\(430\) | −1.35025 | + | 10.1466i | −0.0651146 | + | 0.489310i | ||||
\(431\) | −26.0435 | + | 18.9217i | −1.25447 | + | 0.911428i | −0.998473 | − | 0.0552489i | \(-0.982405\pi\) |
−0.256000 | + | 0.966677i | \(0.582405\pi\) | |||||||
\(432\) | −8.21685 | + | 2.66982i | −0.395334 | + | 0.128452i | ||||
\(433\) | −0.363904 | − | 0.118240i | −0.0174881 | − | 0.00568223i | 0.300260 | − | 0.953857i | \(-0.402927\pi\) |
−0.317748 | + | 0.948175i | \(0.602927\pi\) | |||||||
\(434\) | 0.661536 | + | 0.480634i | 0.0317547 | + | 0.0230712i | ||||
\(435\) | −20.8553 | − | 19.8464i | −0.999936 | − | 0.951563i | ||||
\(436\) | −6.38142 | + | 19.6400i | −0.305615 | + | 0.940585i | ||||
\(437\) | 10.4937 | − | 3.40962i | 0.501983 | − | 0.163104i | ||||
\(438\) | 4.47484 | + | 6.15908i | 0.213816 | + | 0.294292i | ||||
\(439\) | −26.5331 | −1.26635 | −0.633177 | − | 0.774007i | \(-0.718249\pi\) | ||||
−0.633177 | + | 0.774007i | \(0.718249\pi\) | |||||||
\(440\) | 0.542637 | − | 1.32323i | 0.0258692 | − | 0.0630827i | ||||
\(441\) | −23.4649 | −1.11738 | ||||||||
\(442\) | 17.9599 | + | 24.7197i | 0.854267 | + | 1.17580i | ||||
\(443\) | −13.7913 | + | 4.48106i | −0.655243 | + | 0.212901i | −0.617725 | − | 0.786395i | \(-0.711945\pi\) |
−0.0375185 | + | 0.999296i | \(0.511945\pi\) | |||||||
\(444\) | 10.7535 | − | 33.0958i | 0.510337 | − | 1.57066i | ||||
\(445\) | 18.8005 | − | 19.7562i | 0.891228 | − | 0.936534i | ||||
\(446\) | 31.1432 | + | 22.6268i | 1.47467 | + | 1.07141i | ||||
\(447\) | 42.0788 | + | 13.6722i | 1.99026 | + | 0.646675i | ||||
\(448\) | −8.03120 | + | 2.60950i | −0.379439 | + | 0.123287i | ||||
\(449\) | 8.18240 | − | 5.94486i | 0.386151 | − | 0.280555i | −0.377725 | − | 0.925918i | \(-0.623294\pi\) |
0.763876 | + | 0.645362i | \(0.223294\pi\) | |||||||
\(450\) | 10.2340 | − | 37.7713i | 0.482435 | − | 1.78055i | ||||
\(451\) | −6.96483 | − | 17.8802i | −0.327961 | − | 0.841945i | ||||
\(452\) | 10.5155i | 0.494606i | ||||||||
\(453\) | 18.9195 | + | 26.0405i | 0.888917 | + | 1.22349i | ||||
\(454\) | 17.8012 | + | 54.7866i | 0.835454 | + | 2.57126i | ||||
\(455\) | −8.81472 | − | 4.21953i | −0.413240 | − | 0.197815i | ||||
\(456\) | −1.34005 | − | 0.973602i | −0.0627535 | − | 0.0455931i | ||||
\(457\) | 22.9758 | − | 31.6235i | 1.07476 | − | 1.47928i | 0.209602 | − | 0.977787i | \(-0.432783\pi\) |
0.865160 | − | 0.501496i | \(-0.167217\pi\) | |||||||
\(458\) | −48.8691 | − | 15.8785i | −2.28351 | − | 0.741956i | ||||
\(459\) | −2.34410 | − | 7.21440i | −0.109413 | − | 0.336739i | ||||
\(460\) | −13.8716 | + | 7.50658i | −0.646766 | + | 0.349996i | ||||
\(461\) | 39.1322 | 1.82257 | 0.911285 | − | 0.411776i | \(-0.135092\pi\) | ||||
0.911285 | + | 0.411776i | \(0.135092\pi\) | |||||||
\(462\) | 10.7557 | + | 13.1491i | 0.500399 | + | 0.611753i | ||||
\(463\) | 12.9189i | 0.600392i | 0.953878 | + | 0.300196i | \(0.0970521\pi\) | ||||
−0.953878 | + | 0.300196i | \(0.902948\pi\) | |||||||
\(464\) | −15.1052 | + | 10.9745i | −0.701240 | + | 0.509481i | ||||
\(465\) | 0.443390 | + | 2.41112i | 0.0205617 | + | 0.111813i | ||||
\(466\) | −7.82780 | + | 24.0915i | −0.362616 | + | 1.11602i | ||||
\(467\) | −6.61206 | + | 9.10071i | −0.305969 | + | 0.421131i | −0.934119 | − | 0.356962i | \(-0.883813\pi\) |
0.628150 | + | 0.778093i | \(0.283813\pi\) | |||||||
\(468\) | 21.5538 | − | 29.6662i | 0.996324 | − | 1.37132i | ||||
\(469\) | 2.86535 | − | 8.81864i | 0.132310 | − | 0.407207i | ||||
\(470\) | −19.2449 | + | 3.53902i | −0.887701 | + | 0.163243i | ||||
\(471\) | 8.92504 | − | 6.48442i | 0.411244 | − | 0.298786i | ||||
\(472\) | 1.95261i | 0.0898762i | ||||||||
\(473\) | −0.429556 | − | 7.49007i | −0.0197510 | − | 0.344394i | ||||
\(474\) | −5.32424 | −0.244550 | ||||||||
\(475\) | −15.3158 | + | 5.83014i | −0.702738 | + | 0.267505i | ||||
\(476\) | −2.08661 | − | 6.42192i | −0.0956395 | − | 0.294348i | ||||
\(477\) | −9.78665 | − | 3.17988i | −0.448100 | − | 0.145597i | ||||
\(478\) | 24.2508 | − | 33.3784i | 1.10921 | − | 1.52669i | ||||
\(479\) | 16.9621 | + | 12.3237i | 0.775017 | + | 0.563083i | 0.903479 | − | 0.428632i | \(-0.141004\pi\) |
−0.128462 | + | 0.991714i | \(0.541004\pi\) | |||||||
\(480\) | −42.6873 | − | 20.4341i | −1.94840 | − | 0.932683i | ||||
\(481\) | −8.86200 | − | 27.2744i | −0.404072 | − | 1.24361i | ||||
\(482\) | −27.1126 | − | 37.3174i | −1.23495 | − | 1.69976i | ||||
\(483\) | − | 8.52053i | − | 0.387697i | ||||||
\(484\) | −4.56960 | + | 22.5907i | −0.207709 | + | 1.02685i | ||||
\(485\) | 6.69223 | + | 0.890564i | 0.303879 | + | 0.0404384i | ||||
\(486\) | 35.3849 | − | 25.7086i | 1.60509 | − | 1.16617i | ||||
\(487\) | −21.4645 | + | 6.97424i | −0.972649 | + | 0.316033i | −0.751885 | − | 0.659294i | \(-0.770855\pi\) |
−0.220764 | + | 0.975327i | \(0.570855\pi\) | |||||||
\(488\) | −0.453171 | − | 0.147244i | −0.0205141 | − | 0.00666543i | ||||
\(489\) | 35.1377 | + | 25.5290i | 1.58898 | + | 1.15446i | ||||
\(490\) | −19.8884 | − | 18.9263i | −0.898467 | − | 0.855003i | ||||
\(491\) | −6.20389 | + | 19.0936i | −0.279977 | + | 0.861682i | 0.707882 | + | 0.706331i | \(0.249651\pi\) |
−0.987859 | + | 0.155351i | \(0.950349\pi\) | |||||||
\(492\) | 30.2136 | − | 9.81699i | 1.36213 | − | 0.442584i | ||||
\(493\) | −9.63565 | − | 13.2623i | −0.433968 | − | 0.597306i | ||||
\(494\) | −30.0141 | −1.35040 | ||||||||
\(495\) | −2.14943 | + | 28.6016i | −0.0966098 | + | 1.28555i | ||||
\(496\) | 1.58993 | 0.0713898 | ||||||||
\(497\) | 3.09571 | + | 4.26088i | 0.138862 | + | 0.191127i | ||||
\(498\) | 37.3002 | − | 12.1196i | 1.67146 | − | 0.543091i | ||||
\(499\) | −1.43750 | + | 4.42417i | −0.0643513 | + | 0.198053i | −0.978063 | − | 0.208311i | \(-0.933203\pi\) |
0.913711 | + | 0.406364i | \(0.133203\pi\) | |||||||
\(500\) | 20.0252 | − | 12.1563i | 0.895553 | − | 0.543645i | ||||
\(501\) | 19.4346 | + | 14.1200i | 0.868272 | + | 0.630836i | ||||
\(502\) | −32.6280 | − | 10.6015i | −1.45626 | − | 0.473167i | ||||
\(503\) | 12.3611 | − | 4.01636i | 0.551154 | − | 0.179081i | −0.0201833 | − | 0.999796i | \(-0.506425\pi\) |
0.571337 | + | 0.820716i | \(0.306425\pi\) | |||||||
\(504\) | −0.582768 | + | 0.423406i | −0.0259585 | + | 0.0188600i | ||||
\(505\) | −4.48232 | + | 33.6828i | −0.199460 | + | 1.49887i | ||||
\(506\) | 17.4892 | − | 14.3057i | 0.777488 | − | 0.635966i | ||||
\(507\) | − | 19.5928i | − | 0.870147i | ||||||
\(508\) | 8.73242 | + | 12.0191i | 0.387439 | + | 0.533263i | ||||
\(509\) | −9.12976 | − | 28.0985i | −0.404669 | − | 1.24544i | −0.921171 | − | 0.389158i | \(-0.872766\pi\) |
0.516501 | − | 0.856286i | \(-0.327234\pi\) | |||||||
\(510\) | 17.0843 | − | 35.6896i | 0.756506 | − | 1.58036i | ||||
\(511\) | −1.12169 | − | 0.814952i | −0.0496205 | − | 0.0360514i | ||||
\(512\) | −18.9023 | + | 26.0168i | −0.835373 | + | 1.14979i | ||||
\(513\) | 7.08662 | + | 2.30258i | 0.312882 | + | 0.101661i | ||||
\(514\) | 2.96157 | + | 9.11478i | 0.130629 | + | 0.402036i | ||||
\(515\) | 19.1681 | − | 10.3728i | 0.844649 | − | 0.457080i | ||||
\(516\) | 12.4207 | 0.546793 | ||||||||
\(517\) | 13.3638 | − | 5.20558i | 0.587740 | − | 0.228941i | ||||
\(518\) | 12.3869i | 0.544248i | ||||||||
\(519\) | 8.71293 | − | 6.33032i | 0.382455 | − | 0.277870i | ||||
\(520\) | 1.91910 | − | 0.352912i | 0.0841583 | − | 0.0154762i | ||||
\(521\) | −9.71896 | + | 29.9119i | −0.425796 | + | 1.31046i | 0.476435 | + | 0.879210i | \(0.341929\pi\) |
−0.902230 | + | 0.431254i | \(0.858071\pi\) | |||||||
\(522\) | −22.6016 | + | 31.1085i | −0.989247 | + | 1.36158i | ||||
\(523\) | −5.30194 | + | 7.29750i | −0.231838 | + | 0.319097i | −0.909047 | − | 0.416693i | \(-0.863189\pi\) |
0.677210 | + | 0.735790i | \(0.263189\pi\) | |||||||
\(524\) | −4.67290 | + | 14.3817i | −0.204137 | + | 0.628268i | ||||
\(525\) | 0.626999 | + | 12.6396i | 0.0273645 | + | 0.551638i | ||||
\(526\) | −29.6393 | + | 21.5342i | −1.29234 | + | 0.938937i | ||||
\(527\) | 1.39595i | 0.0608088i | ||||||||
\(528\) | 31.9469 | + | 8.39166i | 1.39031 | + | 0.365200i | ||||
\(529\) | 11.6672 | 0.507269 | ||||||||
\(530\) | −5.73016 | − | 10.5889i | −0.248902 | − | 0.459952i | ||||
\(531\) | −12.1010 | − | 37.2431i | −0.525140 | − | 1.61621i | ||||
\(532\) | 6.30817 | + | 2.04965i | 0.273494 | + | 0.0888636i | ||||
\(533\) | 15.3885 | − | 21.1805i | 0.666552 | − | 0.917430i | ||||
\(534\) | −52.3279 | − | 38.0184i | −2.26445 | − | 1.64522i | ||||
\(535\) | −7.37793 | + | 15.4127i | −0.318976 | + | 0.666349i | ||||
\(536\) | 0.572121 | + | 1.76081i | 0.0247119 | + | 0.0760553i | ||||
\(537\) | −25.1016 | − | 34.5494i | −1.08321 | − | 1.49092i | ||||
\(538\) | − | 4.65046i | − | 0.200496i | ||||||
\(539\) | 16.9300 | + | 10.8763i | 0.729227 | + | 0.468473i | ||||
\(540\) | −10.5583 | − | 1.40504i | −0.454359 | − | 0.0604635i | ||||
\(541\) | 6.91720 | − | 5.02564i | 0.297394 | − | 0.216069i | −0.429075 | − | 0.903269i | \(-0.641160\pi\) |
0.726468 | + | 0.687200i | \(0.241160\pi\) | |||||||
\(542\) | 1.55066 | − | 0.503839i | 0.0666064 | − | 0.0216417i | ||||
\(543\) | −13.8247 | − | 4.49192i | −0.593275 | − | 0.192767i | ||||
\(544\) | −21.8016 | − | 15.8398i | −0.934737 | − | 0.679126i | ||||
\(545\) | 15.1924 | − | 15.9647i | 0.650770 | − | 0.683852i | ||||
\(546\) | −7.16226 | + | 22.0432i | −0.306516 | + | 0.943360i | ||||
\(547\) | 32.2693 | − | 10.4849i | 1.37974 | − | 0.448304i | 0.477154 | − | 0.878820i | \(-0.341668\pi\) |
0.902583 | + | 0.430516i | \(0.141668\pi\) | |||||||
\(548\) | 10.4571 | + | 14.3930i | 0.446706 | + | 0.614838i | ||||
\(549\) | 9.55608 | 0.407844 | ||||||||
\(550\) | −24.8912 | + | 22.5085i | −1.06137 | + | 0.959765i | ||||
\(551\) | 16.1028 | 0.686002 | ||||||||
\(552\) | 0.999990 | + | 1.37637i | 0.0425624 | + | 0.0585821i | ||||
\(553\) | 0.922187 | − | 0.299637i | 0.0392154 | − | 0.0127418i | ||||
\(554\) | −7.39974 | + | 22.7740i | −0.314385 | + | 0.967577i | ||||
\(555\) | −25.6010 | + | 26.9025i | −1.08670 | + | 1.14195i | ||||
\(556\) | −13.1206 | − | 9.53265i | −0.556436 | − | 0.404274i | ||||
\(557\) | −21.8178 | − | 7.08904i | −0.924451 | − | 0.300372i | −0.192160 | − | 0.981364i | \(-0.561549\pi\) |
−0.732291 | + | 0.680991i | \(0.761549\pi\) | |||||||
\(558\) | 3.11413 | − | 1.01184i | 0.131832 | − | 0.0428347i | ||||
\(559\) | 8.28110 | − | 6.01657i | 0.350253 | − | 0.254474i | ||||
\(560\) | 8.13565 | + | 1.08265i | 0.343794 | + | 0.0457501i | ||||
\(561\) | −7.36788 | + | 28.0494i | −0.311072 | + | 1.18425i | ||||
\(562\) | − | 12.6061i | − | 0.531757i | ||||||
\(563\) | 5.45619 | + | 7.50980i | 0.229951 | + | 0.316500i | 0.908364 | − | 0.418180i | \(-0.137332\pi\) |
−0.678413 | + | 0.734681i | \(0.737332\pi\) | |||||||
\(564\) | 7.33731 | + | 22.5819i | 0.308957 | + | 0.950871i | ||||
\(565\) | 4.84532 | − | 10.1220i | 0.203844 | − | 0.425836i | ||||
\(566\) | −14.1546 | − | 10.2839i | −0.594962 | − | 0.432266i | ||||
\(567\) | −3.20457 | + | 4.41071i | −0.134579 | + | 0.185232i | ||||
\(568\) | −1.00013 | − | 0.324963i | −0.0419647 | − | 0.0136352i | ||||
\(569\) | −9.55701 | − | 29.4135i | −0.400651 | − | 1.23308i | −0.924473 | − | 0.381248i | \(-0.875494\pi\) |
0.523822 | − | 0.851828i | \(-0.324506\pi\) | |||||||
\(570\) | 18.4980 | + | 34.1830i | 0.774797 | + | 1.43177i | ||||
\(571\) | −2.63736 | −0.110370 | −0.0551851 | − | 0.998476i | \(-0.517575\pi\) | ||||
−0.0551851 | + | 0.998476i | \(0.517575\pi\) | |||||||
\(572\) | −29.3017 | + | 11.4138i | −1.22517 | + | 0.477237i | ||||
\(573\) | 57.1712i | 2.38836i | ||||||||
\(574\) | −9.14848 | + | 6.64676i | −0.381850 | + | 0.277430i | ||||
\(575\) | 16.8115 | − | 0.833947i | 0.701086 | − | 0.0347780i | ||||
\(576\) | −10.4494 | + | 32.1599i | −0.435391 | + | 1.34000i | ||||
\(577\) | −21.5309 | + | 29.6347i | −0.896342 | + | 1.23371i | 0.0752785 | + | 0.997163i | \(0.476015\pi\) |
−0.971620 | + | 0.236546i | \(0.923985\pi\) | |||||||
\(578\) | −6.97814 | + | 9.60459i | −0.290252 | + | 0.399498i | ||||
\(579\) | 18.2036 | − | 56.0249i | 0.756516 | − | 2.32832i | ||||
\(580\) | −22.6389 | + | 4.16315i | −0.940028 | + | 0.172866i | ||||
\(581\) | −5.77854 | + | 4.19835i | −0.239734 | + | 0.174177i | ||||
\(582\) | − | 16.0118i | − | 0.663710i | ||||||
\(583\) | 5.58719 | + | 6.83051i | 0.231398 | + | 0.282891i | ||||
\(584\) | 0.276837 | 0.0114556 | ||||||||
\(585\) | −34.4169 | + | 18.6247i | −1.42297 | + | 0.770035i | ||||
\(586\) | −3.63360 | − | 11.1831i | −0.150103 | − | 0.461968i | ||||
\(587\) | 13.0793 | + | 4.24973i | 0.539842 | + | 0.175405i | 0.566231 | − | 0.824246i | \(-0.308401\pi\) |
−0.0263892 | + | 0.999652i | \(0.508401\pi\) | |||||||
\(588\) | −19.5817 | + | 26.9519i | −0.807536 | + | 1.11148i | ||||
\(589\) | −1.10935 | − | 0.805989i | −0.0457099 | − | 0.0332102i | ||||
\(590\) | 19.7829 | − | 41.3269i | 0.814448 | − | 1.70140i | ||||
\(591\) | 20.8508 | + | 64.1723i | 0.857689 | + | 2.63970i | ||||
\(592\) | 14.1567 | + | 19.4850i | 0.581837 | + | 0.800829i | ||||
\(593\) | − | 20.1550i | − | 0.827668i | −0.910352 | − | 0.413834i | \(-0.864189\pi\) | ||
0.910352 | − | 0.413834i | \(-0.135811\pi\) | |||||||
\(594\) | 15.2336 | − | 0.873649i | 0.625044 | − | 0.0358463i | ||||
\(595\) | −0.950563 | + | 7.14310i | −0.0389693 | + | 0.292839i | ||||
\(596\) | 28.6194 | − | 20.7932i | 1.17230 | − | 0.851722i | ||||
\(597\) | 42.2878 | − | 13.7401i | 1.73072 | − | 0.562346i | ||||
\(598\) | 29.3187 | + | 9.52624i | 1.19893 | + | 0.389557i | ||||
\(599\) | 3.49753 | + | 2.54110i | 0.142905 | + | 0.103827i | 0.656941 | − | 0.753942i | \(-0.271850\pi\) |
−0.514036 | + | 0.857769i | \(0.671850\pi\) | |||||||
\(600\) | −1.58470 | − | 1.96816i | −0.0646950 | − | 0.0803498i | ||||
\(601\) | 11.1214 | − | 34.2281i | 0.453650 | − | 1.39619i | −0.419063 | − | 0.907957i | \(-0.637641\pi\) |
0.872713 | − | 0.488234i | \(-0.162359\pi\) | |||||||
\(602\) | −4.20484 | + | 1.36623i | −0.171376 | + | 0.0556836i | ||||
\(603\) | −21.8247 | − | 30.0391i | −0.888771 | − | 1.22329i | ||||
\(604\) | 25.7358 | 1.04717 | ||||||||
\(605\) | 14.8080 | − | 19.6399i | 0.602030 | − | 0.798473i | ||||
\(606\) | 80.5893 | 3.27372 | ||||||||
\(607\) | −23.3056 | − | 32.0774i | −0.945945 | − | 1.30198i | −0.953305 | − | 0.302009i | \(-0.902343\pi\) |
0.00736018 | − | 0.999973i | \(-0.497657\pi\) | |||||||
\(608\) | 25.1754 | − | 8.17999i | 1.02100 | − | 0.331742i | ||||
\(609\) | 3.84261 | − | 11.8263i | 0.155710 | − | 0.479227i | ||||
\(610\) | 8.09955 | + | 7.70772i | 0.327941 | + | 0.312077i | ||||
\(611\) | 15.8305 | + | 11.5015i | 0.640434 | + | 0.465303i | ||||
\(612\) | −25.7158 | − | 8.35556i | −1.03950 | − | 0.337753i | ||||
\(613\) | −3.62818 | + | 1.17887i | −0.146541 | + | 0.0476139i | −0.381369 | − | 0.924423i | \(-0.624547\pi\) |
0.234828 | + | 0.972037i | \(0.424547\pi\) | |||||||
\(614\) | −30.2424 | + | 21.9724i | −1.22049 | + | 0.886735i | ||||
\(615\) | −33.6066 | − | 4.47217i | −1.35515 | − | 0.180335i | ||||
\(616\) | 0.616721 | − | 0.0353690i | 0.0248484 | − | 0.00142506i | ||||
\(617\) | 28.4055i | 1.14356i | 0.820407 | + | 0.571781i | \(0.193747\pi\) | ||||
−0.820407 | + | 0.571781i | \(0.806253\pi\) | |||||||
\(618\) | −30.3828 | − | 41.8184i | −1.22218 | − | 1.68218i | ||||
\(619\) | −7.43830 | − | 22.8927i | −0.298971 | − | 0.920137i | −0.981859 | − | 0.189614i | \(-0.939276\pi\) |
0.682888 | − | 0.730523i | \(-0.260724\pi\) | |||||||
\(620\) | 1.76801 | + | 0.846330i | 0.0710048 | + | 0.0339894i | ||||
\(621\) | −6.19162 | − | 4.49848i | −0.248461 | − | 0.180518i | ||||
\(622\) | 13.4786 | − | 18.5516i | 0.540441 | − | 0.743853i | ||||
\(623\) | 11.2031 | + | 3.64010i | 0.448841 | + | 0.145837i | ||||
\(624\) | 13.9262 | + | 42.8603i | 0.557492 | + | 1.71579i | ||||
\(625\) | −24.8773 | + | 2.47421i | −0.995091 | + | 0.0989682i | ||||
\(626\) | 10.3511 | 0.413714 | ||||||||
\(627\) | −18.0365 | − | 22.0502i | −0.720308 | − | 0.880599i | ||||
\(628\) | − | 8.82059i | − | 0.351980i | ||||||
\(629\) | −17.1078 | + | 12.4296i | −0.682135 | + | 0.495600i | ||||
\(630\) | 16.6240 | − | 3.05706i | 0.662316 | − | 0.121796i | ||||
\(631\) | 5.90889 | − | 18.1857i | 0.235229 | − | 0.723961i | −0.761862 | − | 0.647740i | \(-0.775714\pi\) |
0.997091 | − | 0.0762213i | \(-0.0242855\pi\) | |||||||
\(632\) | −0.113800 | + | 0.156632i | −0.00452672 | + | 0.00623049i | ||||
\(633\) | −8.97463 | + | 12.3525i | −0.356710 | + | 0.490969i | ||||
\(634\) | 7.38747 | − | 22.7363i | 0.293394 | − | 0.902974i | ||||
\(635\) | −2.86749 | − | 15.5932i | −0.113793 | − | 0.618796i | ||||
\(636\) | −11.8195 | + | 8.58735i | −0.468673 | + | 0.340511i | ||||
\(637\) | 27.4546i | 1.08779i | ||||||||
\(638\) | 30.7263 | − | 11.9687i | 1.21646 | − | 0.473847i | ||||
\(639\) | 21.0900 | 0.834307 | ||||||||
\(640\) | −3.03052 | + | 1.63996i | −0.119792 | + | 0.0648251i | ||||
\(641\) | 3.70172 | + | 11.3927i | 0.146209 | + | 0.449985i | 0.997165 | − | 0.0752526i | \(-0.0239763\pi\) |
−0.850955 | + | 0.525238i | \(0.823976\pi\) | |||||||
\(642\) | 38.5429 | + | 12.5233i | 1.52117 | + | 0.494257i | ||||
\(643\) | −15.1301 | + | 20.8248i | −0.596672 | + | 0.821248i | −0.995399 | − | 0.0958216i | \(-0.969452\pi\) |
0.398727 | + | 0.917070i | \(0.369452\pi\) | |||||||
\(644\) | −5.51149 | − | 4.00433i | −0.217183 | − | 0.157793i | ||||
\(645\) | −11.9560 | − | 5.72324i | −0.470767 | − | 0.225352i | ||||
\(646\) | 6.83905 | + | 21.0484i | 0.269079 | + | 0.828139i | ||||
\(647\) | 5.46774 | + | 7.52570i | 0.214959 | + | 0.295866i | 0.902856 | − | 0.429942i | \(-0.141466\pi\) |
−0.687897 | + | 0.725808i | \(0.741466\pi\) | |||||||
\(648\) | − | 1.08858i | − | 0.0427636i | ||||||
\(649\) | −8.53167 | + | 32.4800i | −0.334897 | + | 1.27495i | ||||
\(650\) | −44.1933 | − | 11.9740i | −1.73341 | − | 0.469661i | ||||
\(651\) | −0.856664 | + | 0.622403i | −0.0335753 | + | 0.0243939i | ||||
\(652\) | 33.0268 | − | 10.7311i | 1.29343 | − | 0.420261i | ||||
\(653\) | −35.6177 | − | 11.5729i | −1.39383 | − | 0.452882i | −0.486637 | − | 0.873604i | \(-0.661777\pi\) |
−0.907189 | + | 0.420723i | \(0.861777\pi\) | |||||||
\(654\) | −42.2854 | − | 30.7221i | −1.65349 | − | 1.20133i | ||||
\(655\) | 11.1249 | − | 11.6904i | 0.434685 | − | 0.456782i | ||||
\(656\) | −6.79446 | + | 20.9112i | −0.265279 | + | 0.816445i | ||||
\(657\) | −5.28025 | + | 1.71566i | −0.206002 | + | 0.0669342i | ||||
\(658\) | −4.96785 | − | 6.83766i | −0.193667 | − | 0.266560i | ||||
\(659\) | 4.93753 | 0.192339 | 0.0961693 | − | 0.995365i | \(-0.469341\pi\) | ||||
0.0961693 | + | 0.995365i | \(0.469341\pi\) | |||||||
\(660\) | 31.0582 | + | 26.3372i | 1.20894 | + | 1.02517i | ||||
\(661\) | −4.82155 | −0.187537 | −0.0937683 | − | 0.995594i | \(-0.529891\pi\) | ||||
−0.0937683 | + | 0.995594i | \(0.529891\pi\) | |||||||
\(662\) | 34.8155 | + | 47.9194i | 1.35314 | + | 1.86244i | ||||
\(663\) | −37.6313 | + | 12.2272i | −1.46148 | + | 0.474864i | ||||
\(664\) | 0.440710 | − | 1.35637i | 0.0171029 | − | 0.0526372i | ||||
\(665\) | −5.12770 | − | 4.87964i | −0.198844 | − | 0.189224i | ||||
\(666\) | 40.1286 | + | 29.1551i | 1.55495 | + | 1.12974i | ||||
\(667\) | −15.7297 | − | 5.11091i | −0.609058 | − | 0.197895i | ||||
\(668\) | 18.2670 | − | 5.93532i | 0.706773 | − | 0.229645i | ||||
\(669\) | −40.3292 | + | 29.3009i | −1.55922 | + | 1.13284i | ||||
\(670\) | 5.73070 | − | 43.0639i | 0.221396 | − | 1.66370i | ||||
\(671\) | −6.89474 | − | 4.42935i | −0.266168 | − | 0.170993i | ||||
\(672\) | − | 20.4415i | − | 0.788548i | ||||||
\(673\) | −19.3464 | − | 26.6280i | −0.745749 | − | 1.02644i | −0.998267 | − | 0.0588431i | \(-0.981259\pi\) |
0.252518 | − | 0.967592i | \(-0.418741\pi\) | |||||||
\(674\) | −16.6619 | − | 51.2802i | −0.641794 | − | 1.97524i | ||||
\(675\) | 9.51587 | + | 6.21756i | 0.366266 | + | 0.239314i | ||||
\(676\) | −12.6736 | − | 9.20789i | −0.487445 | − | 0.354150i | ||||
\(677\) | −10.0761 | + | 13.8686i | −0.387258 | + | 0.533014i | −0.957489 | − | 0.288470i | \(-0.906854\pi\) |
0.570231 | + | 0.821484i | \(0.306854\pi\) | |||||||
\(678\) | −25.3123 | − | 8.22448i | −0.972114 | − | 0.315859i | ||||
\(679\) | 0.901110 | + | 2.77333i | 0.0345814 | + | 0.106431i | ||||
\(680\) | −0.684782 | − | 1.26543i | −0.0262602 | − | 0.0485268i | ||||
\(681\) | −74.5977 | −2.85859 | ||||||||
\(682\) | −2.71585 | − | 0.713386i | −0.103995 | − | 0.0273170i | ||||
\(683\) | 19.3586i | 0.740737i | 0.928885 | + | 0.370368i | \(0.120769\pi\) | ||||
−0.928885 | + | 0.370368i | \(0.879231\pi\) | |||||||
\(684\) | 21.4877 | − | 15.6117i | 0.821602 | − | 0.596929i | ||||
\(685\) | −3.43383 | − | 18.6729i | −0.131200 | − | 0.713454i | ||||
\(686\) | 7.89232 | − | 24.2901i | 0.301330 | − | 0.927399i | ||||
\(687\) | 39.1115 | − | 53.8324i | 1.49220 | − | 2.05383i | ||||
\(688\) | −5.05292 | + | 6.95475i | −0.192641 | + | 0.265148i | ||||
\(689\) | −3.72054 | + | 11.4506i | −0.141741 | + | 0.436234i | ||||
\(690\) | −7.22009 | − | 39.2622i | −0.274864 | − | 1.49469i | ||||
\(691\) | 7.39559 | − | 5.37321i | 0.281342 | − | 0.204407i | −0.438161 | − | 0.898897i | \(-0.644370\pi\) |
0.719502 | + | 0.694490i | \(0.244370\pi\) | |||||||
\(692\) | − | 8.61097i | − | 0.327340i | ||||||
\(693\) | −11.5438 | + | 4.49665i | −0.438514 | + | 0.170814i | ||||
\(694\) | 8.72467 | 0.331184 | ||||||||
\(695\) | 8.23717 | + | 15.2217i | 0.312454 | + | 0.577391i | ||||
\(696\) | 0.767250 | + | 2.36135i | 0.0290825 | + | 0.0895068i | ||||
\(697\) | −18.3600 | − | 5.96554i | −0.695436 | − | 0.225961i | ||||
\(698\) | −15.6650 | + | 21.5610i | −0.592929 | + | 0.816096i | ||||
\(699\) | −26.5383 | − | 19.2812i | −1.00377 | − | 0.729281i | ||||
\(700\) | 8.47058 | + | 5.53458i | 0.320158 | + | 0.209187i | ||||
\(701\) | −4.72594 | − | 14.5450i | −0.178496 | − | 0.549355i | 0.821279 | − | 0.570526i | \(-0.193261\pi\) |
−0.999776 | + | 0.0211707i | \(0.993261\pi\) | |||||||
\(702\) | 12.2368 | + | 16.8425i | 0.461847 | + | 0.635678i | ||||
\(703\) | − | 20.7719i | − | 0.783428i | ||||||
\(704\) | 22.4457 | − | 18.3601i | 0.845956 | − | 0.691971i | ||||
\(705\) | 3.34254 | − | 25.1179i | 0.125887 | − | 0.945994i | ||||
\(706\) | 41.7327 | − | 30.3206i | 1.57063 | − | 1.14113i | ||||
\(707\) | −13.9585 | + | 4.53539i | −0.524964 | + | 0.170571i | ||||
\(708\) | −52.8760 | − | 17.1805i | −1.98720 | − | 0.645681i | ||||
\(709\) | 34.7172 | + | 25.2235i | 1.30383 | + | 0.947290i | 0.999985 | − | 0.00543044i | \(-0.00172857\pi\) |
0.303848 | + | 0.952721i | \(0.401729\pi\) | |||||||
\(710\) | 17.8755 | + | 17.0107i | 0.670854 | + | 0.638401i | ||||
\(711\) | 1.19986 | − | 3.69278i | 0.0449982 | − | 0.138490i | ||||
\(712\) | −2.23690 | + | 0.726814i | −0.0838315 | + | 0.0272385i | ||||
\(713\) | 0.827834 | + | 1.13942i | 0.0310026 | + | 0.0426714i | ||||
\(714\) | 17.0905 | 0.639598 | ||||||||
\(715\) | 33.4646 | + | 2.51489i | 1.25151 | + | 0.0940516i | ||||
\(716\) | −34.1450 | −1.27606 | ||||||||
\(717\) | 31.4039 | + | 43.2238i | 1.17280 | + | 1.61422i | ||||
\(718\) | −50.5682 | + | 16.4306i | −1.88719 | + | 0.613184i | ||||
\(719\) | −1.48738 | + | 4.57768i | −0.0554699 | + | 0.170719i | −0.974953 | − | 0.222411i | \(-0.928607\pi\) |
0.919483 | + | 0.393129i | \(0.128607\pi\) | |||||||
\(720\) | 22.6563 | − | 23.8081i | 0.844351 | − | 0.887274i | ||||
\(721\) | 7.61592 | + | 5.53329i | 0.283632 | + | 0.206071i | ||||
\(722\) | 15.8925 | + | 5.16378i | 0.591457 | + | 0.192176i | ||||
\(723\) | 56.8090 | − | 18.4584i | 2.11275 | − | 0.686473i | ||||
\(724\) | −9.40269 | + | 6.83146i | −0.349448 | + | 0.253889i | ||||
\(725\) | 23.7101 | + | 6.42417i | 0.880571 | + | 0.238588i | ||||
\(726\) | −50.8053 | − | 28.6686i | −1.88556 | − | 1.06399i | ||||
\(727\) | − | 21.8922i | − | 0.811937i | −0.913887 | − | 0.405969i | \(-0.866934\pi\) | ||
0.913887 | − | 0.405969i | \(-0.133066\pi\) | |||||||
\(728\) | 0.495395 | + | 0.681853i | 0.0183606 | + | 0.0252712i | ||||
\(729\) | 12.2694 | + | 37.7614i | 0.454423 | + | 1.39857i | ||||
\(730\) | −5.85925 | − | 2.80477i | −0.216860 | − | 0.103809i | ||||
\(731\) | −6.10627 | − | 4.43647i | −0.225849 | − | 0.164089i | ||||
\(732\) | 7.97464 | − | 10.9762i | 0.294751 | − | 0.405690i | ||||
\(733\) | 45.6788 | + | 14.8419i | 1.68718 | + | 0.548199i | 0.986284 | − | 0.165060i | \(-0.0527817\pi\) |
0.700901 | + | 0.713259i | \(0.252782\pi\) | |||||||
\(734\) | 1.26242 | + | 3.88533i | 0.0465968 | + | 0.143410i | ||||
\(735\) | 31.2680 | − | 16.9206i | 1.15334 | − | 0.624125i | ||||
\(736\) | −27.1885 | −1.00218 | ||||||||
\(737\) | 1.82312 | + | 31.7893i | 0.0671554 | + | 1.17097i | ||||
\(738\) | 45.2820i | 1.66685i | ||||||||
\(739\) | −27.5934 | + | 20.0478i | −1.01504 | + | 0.737470i | −0.965260 | − | 0.261290i | \(-0.915852\pi\) |
−0.0497805 | + | 0.998760i | \(0.515852\pi\) | |||||||
\(740\) | 5.37029 | + | 29.2032i | 0.197416 | + | 1.07353i | ||||
\(741\) | 12.0106 | − | 36.9648i | 0.441220 | − | 1.35794i | ||||
\(742\) | 3.05671 | − | 4.20720i | 0.112215 | − | 0.154451i | ||||
\(743\) | 15.5411 | − | 21.3906i | 0.570149 | − | 0.784743i | −0.422423 | − | 0.906399i | \(-0.638820\pi\) |
0.992572 | + | 0.121656i | \(0.0388203\pi\) | |||||||
\(744\) | 0.0653350 | − | 0.201080i | 0.00239530 | − | 0.00737196i | ||||
\(745\) | −37.1296 | + | 6.82792i | −1.36032 | + | 0.250156i | ||||
\(746\) | −14.5244 | + | 10.5526i | −0.531777 | + | 0.386359i | ||||
\(747\) | 28.6019i | 1.04649i | ||||||||
\(748\) | 14.6811 | + | 17.9481i | 0.536794 | + | 0.656247i | ||||
\(749\) | −7.38062 | −0.269682 | ||||||||
\(750\) | 13.5997 | + | 57.7114i | 0.496590 | + | 2.10732i | ||||
\(751\) | 14.1963 | + | 43.6918i | 0.518032 | + | 1.59434i | 0.777697 | + | 0.628639i | \(0.216388\pi\) |
−0.259666 | + | 0.965699i | \(0.583612\pi\) | |||||||
\(752\) | −15.6292 | − | 5.07825i | −0.569939 | − | 0.185185i | ||||
\(753\) | 26.1132 | − | 35.9417i | 0.951617 | − | 1.30979i | ||||
\(754\) | 36.3977 | + | 26.4445i | 1.32553 | + | 0.963052i | ||||
\(755\) | −24.7728 | − | 11.8585i | −0.901575 | − | 0.431577i | ||||
\(756\) | −1.42168 | − | 4.37549i | −0.0517061 | − | 0.159135i | ||||
\(757\) | 18.1365 | + | 24.9628i | 0.659183 | + | 0.907288i | 0.999454 | − | 0.0330398i | \(-0.0105188\pi\) |
−0.340271 | + | 0.940327i | \(0.610519\pi\) | |||||||
\(758\) | 42.6271i | 1.54828i | ||||||||
\(759\) | 10.6201 | + | 27.2640i | 0.385485 | + | 0.989620i | ||||
\(760\) | 1.40099 | + | 0.186436i | 0.0508194 | + | 0.00676275i | ||||
\(761\) | 11.4860 | − | 8.34507i | 0.416367 | − | 0.302508i | −0.359807 | − | 0.933027i | \(-0.617158\pi\) |
0.776175 | + | 0.630518i | \(0.217158\pi\) | |||||||
\(762\) | −35.7618 | + | 11.6197i | −1.29551 | + | 0.420938i | ||||
\(763\) | 9.05303 | + | 2.94151i | 0.327742 | + | 0.106490i | ||||
\(764\) | 36.9811 | + | 26.8684i | 1.33793 | + | 0.972063i | ||||
\(765\) | 20.9035 | + | 19.8923i | 0.755767 | + | 0.719206i | ||||
\(766\) | −16.2464 | + | 50.0012i | −0.587005 | + | 1.80662i | ||||
\(767\) | −43.5754 | + | 14.1585i | −1.57342 | + | 0.511234i | ||||
\(768\) | −22.1319 | − | 30.4620i | −0.798617 | − | 1.09920i | ||||
\(769\) | 30.0208 | 1.08258 | 0.541290 | − | 0.840836i | \(-0.317936\pi\) | ||||
0.541290 | + | 0.840836i | \(0.317936\pi\) | |||||||
\(770\) | −13.4112 | − | 5.49973i | −0.483307 | − | 0.198196i | ||||
\(771\) | −12.4107 | −0.446961 | ||||||||
\(772\) | −27.6846 | − | 38.1046i | −0.996392 | − | 1.37142i | ||||
\(773\) | −28.9401 | + | 9.40320i | −1.04090 | + | 0.338209i | −0.779092 | − | 0.626910i | \(-0.784319\pi\) |
−0.261810 | + | 0.965119i | \(0.584319\pi\) | |||||||
\(774\) | −5.47091 | + | 16.8377i | −0.196648 | + | 0.605220i | ||||
\(775\) | −1.31188 | − | 1.62933i | −0.0471241 | − | 0.0585271i | ||||
\(776\) | −0.471046 | − | 0.342235i | −0.0169096 | − | 0.0122855i | ||||
\(777\) | −15.2555 | − | 4.95680i | −0.547287 | − | 0.177824i | ||||
\(778\) | 3.16373 | − | 1.02796i | 0.113425 | − | 0.0368541i | ||||
\(779\) | 15.3414 | − | 11.1461i | 0.549661 | − | 0.399352i | ||||
\(780\) | −7.32892 | + | 55.0739i | −0.262417 | + | 1.97196i | ||||
\(781\) | −15.2165 | − | 9.77544i | −0.544488 | − | 0.349793i | ||||
\(782\) | − | 22.7315i | − | 0.812876i | ||||||
\(783\) | −6.56512 | − | 9.03612i | −0.234618 | − | 0.322925i | ||||
\(784\) | −7.12510 | − | 21.9288i | −0.254468 | − | 0.783172i | ||||
\(785\) | −4.06436 | + | 8.49055i | −0.145063 | + | 0.303041i | ||||
\(786\) | −30.9642 | − | 22.4968i | −1.10445 | − | 0.802433i | ||||
\(787\) | 17.9067 | − | 24.6465i | 0.638306 | − | 0.878553i | −0.360218 | − | 0.932868i | \(-0.617298\pi\) |
0.998524 | + | 0.0543151i | \(0.0172976\pi\) | |||||||
\(788\) | 51.3089 | + | 16.6713i | 1.82780 | + | 0.593890i | ||||
\(789\) | −14.6605 | − | 45.1205i | −0.521929 | − | 1.60633i | ||||
\(790\) | 3.99549 | − | 2.16215i | 0.142153 | − | 0.0769259i | ||||
\(791\) | 4.84709 | 0.172343 | ||||||||
\(792\) | 1.33700 | − | 2.08118i | 0.0475083 | − | 0.0739516i | ||||
\(793\) | − | 11.1809i | − | 0.397044i | ||||||
\(794\) | −27.3555 | + | 19.8749i | −0.970810 | + | 0.705334i | ||||
\(795\) | 15.3341 | − | 2.81985i | 0.543845 | − | 0.100010i | ||||
\(796\) | 10.9859 | − | 33.8112i | 0.389385 | − | 1.19840i | ||||
\(797\) | −19.4235 | + | 26.7341i | −0.688014 | + | 0.946970i | −0.999995 | − | 0.00311796i | \(-0.999008\pi\) |
0.311981 | + | 0.950088i | \(0.399008\pi\) | |||||||
\(798\) | −9.86764 | + | 13.5816i | −0.349311 | + | 0.480785i | ||||
\(799\) | 4.45870 | − | 13.7225i | 0.157737 | − | 0.485466i | ||||
\(800\) | 40.3322 | − | 2.00071i | 1.42596 | − | 0.0707359i | ||||
\(801\) | 38.1613 | − | 27.7258i | 1.34836 | − | 0.979642i | ||||
\(802\) | − | 56.2421i | − | 1.98598i | ||||||
\(803\) | 4.60494 | + | 1.20960i | 0.162505 | + | 0.0426859i | ||||
\(804\) | −52.7160 | −1.85915 | ||||||||
\(805\) | 3.46015 | + | 6.39409i | 0.121954 | + | 0.225362i | ||||
\(806\) | −1.18388 | − | 3.64361i | −0.0417004 | − | 0.128341i | ||||
\(807\) | 5.72743 | + | 1.86095i | 0.201615 | + | 0.0655087i | ||||
\(808\) | 1.72251 | − | 2.37083i | 0.0605977 | − | 0.0834056i | ||||
\(809\) | 8.89072 | + | 6.45948i | 0.312581 | + | 0.227103i | 0.733003 | − | 0.680225i | \(-0.238118\pi\) |
−0.420422 | + | 0.907329i | \(0.638118\pi\) | |||||||
\(810\) | −11.0290 | + | 23.0398i | −0.387519 | + | 0.809537i | ||||
\(811\) | 12.5951 | + | 38.7638i | 0.442275 | + | 1.36118i | 0.885445 | + | 0.464744i | \(0.153854\pi\) |
−0.443171 | + | 0.896437i | \(0.646146\pi\) | |||||||
\(812\) | −5.84397 | − | 8.04353i | −0.205083 | − | 0.282273i | ||||
\(813\) | 2.11138i | 0.0740494i | ||||||||
\(814\) | −15.4392 | − | 39.6355i | −0.541142 | − | 1.38923i | ||||
\(815\) | −36.7358 | − | 4.88858i | −1.28680 | − | 0.171240i | ||||
\(816\) | 26.8841 | − | 19.5324i | 0.941130 | − | 0.683771i | ||||
\(817\) | 7.05121 | − | 2.29108i | 0.246691 | − | 0.0801547i | ||||
\(818\) | 75.8941 | + | 24.6595i | 2.65358 | + | 0.862199i | ||||
\(819\) | −13.6746 | − | 9.93519i | −0.477830 | − | 0.347164i | ||||
\(820\) | −18.6867 | + | 19.6366i | −0.652567 | + | 0.685741i | ||||
\(821\) | 4.66851 | − | 14.3682i | 0.162932 | − | 0.501454i | −0.835946 | − | 0.548812i | \(-0.815080\pi\) |
0.998878 | + | 0.0473584i | \(0.0150803\pi\) | |||||||
\(822\) | −42.8250 | + | 13.9147i | −1.49369 | + | 0.485330i | ||||
\(823\) | 21.4138 | + | 29.4735i | 0.746437 | + | 1.02738i | 0.998222 | + | 0.0595989i | \(0.0189822\pi\) |
−0.251786 | + | 0.967783i | \(0.581018\pi\) | |||||||
\(824\) | −1.87964 | −0.0654805 | ||||||||
\(825\) | −17.7604 | − | 39.6627i | −0.618339 | − | 1.38088i | ||||
\(826\) | 19.7901 | 0.688585 | ||||||||
\(827\) | −2.23560 | − | 3.07703i | −0.0777393 | − | 0.106999i | 0.768376 | − | 0.639998i | \(-0.221065\pi\) |
−0.846116 | + | 0.532999i | \(0.821065\pi\) | |||||||
\(828\) | −25.9449 | + | 8.43002i | −0.901649 | + | 0.292963i | ||||
\(829\) | 8.43810 | − | 25.9698i | 0.293067 | − | 0.901969i | −0.690796 | − | 0.723049i | \(-0.742740\pi\) |
0.983864 | − | 0.178919i | \(-0.0572601\pi\) | |||||||
\(830\) | −23.0696 | + | 24.2424i | −0.800759 | + | 0.841466i | ||||
\(831\) | −25.0870 | − | 18.2268i | −0.870259 | − | 0.632280i | ||||
\(832\) | 37.6279 | + | 12.2261i | 1.30451 | + | 0.423862i | ||||
\(833\) | 19.2535 | − | 6.25584i | 0.667094 | − | 0.216752i | ||||
\(834\) | 33.2085 | − | 24.1274i | 1.14992 | − | 0.835464i | ||||
\(835\) | −20.3184 | − | 2.70386i | −0.703148 | − | 0.0935710i | ||||
\(836\) | −22.7396 | + | 1.30412i | −0.786466 | + | 0.0451038i | ||||
\(837\) | 0.951115i | 0.0328754i | ||||||||
\(838\) | −17.5821 | − | 24.1998i | −0.607365 | − | 0.835967i | ||||
\(839\) | −8.75291 | − | 26.9387i | −0.302184 | − | 0.930026i | −0.980713 | − | 0.195453i | \(-0.937382\pi\) |
0.678529 | − | 0.734573i | \(-0.262618\pi\) | |||||||
\(840\) | 0.471243 | − | 0.984439i | 0.0162594 | − | 0.0339664i | ||||
\(841\) | 3.93381 | + | 2.85808i | 0.135649 | + | 0.0985546i | ||||
\(842\) | 12.8195 | − | 17.6445i | 0.441788 | − | 0.608070i | ||||
\(843\) | 15.5255 | + | 5.04453i | 0.534725 | + | 0.173743i | ||||
\(844\) | 3.77247 | + | 11.6105i | 0.129854 | + | 0.399649i | ||||
\(845\) | 7.95655 | + | 14.7031i | 0.273714 | + | 0.505802i | ||||
\(846\) | −33.8442 | −1.16359 | ||||||||
\(847\) | 10.4132 | + | 2.10635i | 0.357800 | + | 0.0723750i | ||||
\(848\) | − | 10.1115i | − | 0.347232i | ||||||
\(849\) | 18.3297 | − | 13.3173i | 0.629073 | − | 0.457048i | ||||
\(850\) | 1.67274 | + | 33.7206i | 0.0573745 | + | 1.15661i | ||||
\(851\) | −6.59285 | + | 20.2907i | −0.226000 | + | 0.695556i | ||||
\(852\) | 17.5998 | − | 24.2240i | 0.602959 | − | 0.829902i | ||||
\(853\) | −4.90400 | + | 6.74977i | −0.167910 | + | 0.231108i | −0.884677 | − | 0.466205i | \(-0.845621\pi\) |
0.716767 | + | 0.697313i | \(0.245621\pi\) | |||||||
\(854\) | −1.49235 | + | 4.59298i | −0.0510671 | + | 0.157168i | ||||
\(855\) | −27.8773 | + | 5.12646i | −0.953382 | + | 0.175321i | ||||
\(856\) | 1.19223 | − | 0.866207i | 0.0407497 | − | 0.0296064i | ||||
\(857\) | − | 8.59547i | − | 0.293616i | −0.989165 | − | 0.146808i | \(-0.953100\pi\) | ||
0.989165 | − | 0.146808i | \(-0.0468999\pi\) | |||||||
\(858\) | −4.55708 | − | 79.4609i | −0.155576 | − | 2.71275i | ||||
\(859\) | −9.40807 | −0.320999 | −0.160500 | − | 0.987036i | \(-0.551311\pi\) | ||||
−0.160500 | + | 0.987036i | \(0.551311\pi\) | |||||||
\(860\) | −9.32095 | + | 5.04401i | −0.317842 | + | 0.171999i | ||||
\(861\) | −4.52513 | − | 13.9269i | −0.154216 | − | 0.474628i | ||||
\(862\) | −61.9571 | − | 20.1311i | −2.11027 | − | 0.685667i | ||||
\(863\) | 6.06951 | − | 8.35396i | 0.206608 | − | 0.284372i | −0.693120 | − | 0.720822i | \(-0.743764\pi\) |
0.899728 | + | 0.436450i | \(0.143764\pi\) | |||||||
\(864\) | −14.8543 | − | 10.7922i | −0.505352 | − | 0.367160i | ||||
\(865\) | −3.96777 | + | 8.28877i | −0.134908 | + | 0.281827i | ||||
\(866\) | −0.239279 | − | 0.736426i | −0.00813104 | − | 0.0250248i | ||||
\(867\) | −9.03644 | − | 12.4376i | −0.306893 | − | 0.422403i | ||||
\(868\) | 0.846638i | 0.0287368i | ||||||||
\(869\) | −2.57734 | + | 2.10820i | −0.0874304 | + | 0.0715159i | ||||
\(870\) | 7.68522 | − | 57.7514i | 0.260553 | − | 1.95795i | ||||
\(871\) | −35.1466 | + | 25.5355i | −1.19090 | + | 0.865237i | ||||
\(872\) | −1.80761 | + | 0.587328i | −0.0612133 | + | 0.0198894i | ||||
\(873\) | 11.1055 | + | 3.60838i | 0.375863 | + | 0.122125i | ||||
\(874\) | 18.0644 | + | 13.1246i | 0.611038 | + | 0.443945i | ||||
\(875\) | −5.60342 | − | 9.23057i | −0.189430 | − | 0.312050i | ||||
\(876\) | −2.43581 | + | 7.49665i | −0.0822984 | + | 0.253288i | ||||
\(877\) | −28.3445 | + | 9.20969i | −0.957126 | + | 0.310989i | −0.745608 | − | 0.666385i | \(-0.767841\pi\) |
−0.211518 | + | 0.977374i | \(0.567841\pi\) | |||||||
\(878\) | −31.5608 | − | 43.4398i | −1.06513 | − | 1.46602i | ||||
\(879\) | 15.2269 | 0.513591 | ||||||||
\(880\) | −27.3819 | + | 6.67613i | −0.923043 | + | 0.225052i | ||||
\(881\) | 30.1175 | 1.01469 | 0.507343 | − | 0.861744i | \(-0.330628\pi\) | ||||
0.507343 | + | 0.861744i | \(0.330628\pi\) | |||||||
\(882\) | −27.9113 | − | 38.4167i | −0.939824 | − | 1.29356i | ||||
\(883\) | 47.8970 | − | 15.5627i | 1.61186 | − | 0.523726i | 0.641860 | − | 0.766822i | \(-0.278163\pi\) |
0.970002 | + | 0.243096i | \(0.0781631\pi\) | |||||||
\(884\) | −9.77622 | + | 30.0881i | −0.328810 | + | 1.01197i | ||||
\(885\) | 42.9811 | + | 40.9019i | 1.44480 | + | 1.37490i | ||||
\(886\) | −23.7410 | − | 17.2488i | −0.797593 | − | 0.579485i | ||||
\(887\) | 39.3789 | + | 12.7950i | 1.32221 | + | 0.429613i | 0.883255 | − | 0.468893i | \(-0.155347\pi\) |
0.438959 | + | 0.898507i | \(0.355347\pi\) | |||||||
\(888\) | 3.04604 | − | 0.989719i | 0.102218 | − | 0.0332128i | ||||
\(889\) | 5.54021 | − | 4.02520i | 0.185813 | − | 0.135001i | ||||
\(890\) | 54.7077 | + | 7.28019i | 1.83381 | + | 0.244033i | ||||
\(891\) | 4.75642 | − | 18.1076i | 0.159346 | − | 0.606628i | ||||
\(892\) | 39.8572i | 1.33452i | ||||||||
\(893\) | 8.33074 | + | 11.4663i | 0.278777 | + | 0.383704i | ||||
\(894\) | 27.6683 | + | 85.1542i | 0.925366 | + | 2.84798i | ||||
\(895\) | 32.8674 | + | 15.7334i | 1.09864 | + | 0.525909i | ||||
\(896\) | −1.20409 | − | 0.874825i | −0.0402259 | − | 0.0292258i | ||||
\(897\) | −23.4647 | + | 32.2964i | −0.783464 | + | 1.07835i | ||||
\(898\) | 19.4658 | + | 6.32481i | 0.649581 | + | 0.211062i | ||||
\(899\) | 0.635162 | + | 1.95483i | 0.0211838 | + | 0.0651971i | ||||
\(900\) | 37.8672 | − | 14.4146i | 1.26224 | − | 0.480485i | ||||
\(901\) | 8.87793 | 0.295767 | ||||||||
\(902\) | 20.9887 | − | 32.6711i | 0.698848 | − | 1.08783i | ||||
\(903\) | − | 5.72532i | − | 0.190527i | ||||||
\(904\) | −0.782977 | + | 0.568866i | −0.0260414 | + | 0.0189202i | ||||
\(905\) | 12.1987 | − | 2.24327i | 0.405498 | − | 0.0745687i | ||||
\(906\) | −20.1287 | + | 61.9499i | −0.668733 | + | 2.05815i | ||||
\(907\) | −2.72271 | + | 3.74749i | −0.0904062 | + | 0.124433i | −0.851824 | − | 0.523828i | \(-0.824504\pi\) |
0.761418 | + | 0.648261i | \(0.224504\pi\) | |||||||
\(908\) | −35.0582 | + | 48.2534i | −1.16345 | + | 1.60135i | ||||
\(909\) | −18.1614 | + | 55.8951i | −0.602376 | + | 1.85392i | ||||
\(910\) | −3.57683 | − | 19.4505i | −0.118571 | − | 0.644778i | ||||
\(911\) | −5.64577 | + | 4.10189i | −0.187053 | + | 0.135902i | −0.677371 | − | 0.735642i | \(-0.736881\pi\) |
0.490318 | + | 0.871544i | \(0.336881\pi\) | |||||||
\(912\) | 32.6419i | 1.08088i | ||||||||
\(913\) | 13.2573 | − | 20.6363i | 0.438752 | − | 0.682963i | ||||
\(914\) | 79.1032 | 2.61650 | ||||||||
\(915\) | −12.7339 | + | 6.89090i | −0.420968 | + | 0.227806i | ||||
\(916\) | −16.4404 | − | 50.5984i | −0.543207 | − | 1.67182i | ||||
\(917\) | 6.62923 | + | 2.15397i | 0.218916 | + | 0.0711303i | ||||
\(918\) | 9.02308 | − | 12.4192i | 0.297806 | − | 0.409895i | ||||
\(919\) | −18.9477 | − | 13.7663i | −0.625027 | − | 0.454109i | 0.229647 | − | 0.973274i | \(-0.426243\pi\) |
−0.854674 | + | 0.519165i | \(0.826243\pi\) | |||||||
\(920\) | −1.30936 | − | 0.626782i | −0.0431684 | − | 0.0206644i | ||||
\(921\) | −14.9589 | − | 46.0387i | −0.492912 | − | 1.51703i | ||||
\(922\) | 46.5474 | + | 64.0671i | 1.53296 | + | 2.10994i | ||||
\(923\) | − | 24.6758i | − | 0.812215i | ||||||
\(924\) | −4.46857 | + | 17.0118i | −0.147005 | + | 0.559647i | ||||
\(925\) | 8.28691 | − | 30.5850i | 0.272472 | − | 1.00563i | ||||
\(926\) | −21.1507 | + | 15.3669i | −0.695057 | + | 0.504988i | ||||
\(927\) | 35.8514 | − | 11.6488i | 1.17751 | − | 0.382597i | ||||
\(928\) | −37.7371 | − | 12.2615i | −1.23878 | − | 0.402504i | ||||
\(929\) | −14.6355 | − | 10.6333i | −0.480175 | − | 0.348868i | 0.321218 | − | 0.947005i | \(-0.395908\pi\) |
−0.801394 | + | 0.598137i | \(0.795908\pi\) | |||||||
\(930\) | −3.42006 | + | 3.59392i | −0.112148 | + | 0.117849i | ||||
\(931\) | −6.14504 | + | 18.9125i | −0.201395 | + | 0.619831i | ||||
\(932\) | −24.9440 | + | 8.10480i | −0.817068 | + | 0.265481i | ||||
\(933\) | 17.4542 | + | 24.0237i | 0.571426 | + | 0.786500i | ||||
\(934\) | −22.7646 | −0.744881 | ||||||||
\(935\) | −5.86164 | − | 24.0413i | −0.191696 | − | 0.786235i | ||||
\(936\) | 3.37495 | 0.110314 | ||||||||
\(937\) | −6.47128 | − | 8.90696i | −0.211408 | − | 0.290978i | 0.690124 | − | 0.723691i | \(-0.257556\pi\) |
−0.901531 | + | 0.432714i | \(0.857556\pi\) | |||||||
\(938\) | 17.8461 | − | 5.79856i | 0.582697 | − | 0.189330i | ||||
\(939\) | −4.14216 | + | 12.7483i | −0.135174 | + | 0.416023i | ||||
\(940\) | −14.6766 | − | 13.9666i | −0.478698 | − | 0.455540i | ||||
\(941\) | −27.3293 | − | 19.8559i | −0.890908 | − | 0.647283i | 0.0452063 | − | 0.998978i | \(-0.485605\pi\) |
−0.936115 | + | 0.351695i | \(0.885605\pi\) | |||||||
\(942\) | 21.2325 | + | 6.89886i | 0.691793 | + | 0.224777i | ||||
\(943\) | −18.5237 | + | 6.01870i | −0.603213 | + | 0.195996i | ||||
\(944\) | 31.1305 | − | 22.6177i | 1.01321 | − | 0.736142i | ||||
\(945\) | −0.647654 | + | 4.86686i | −0.0210682 | + | 0.158319i | ||||
\(946\) | 11.7517 | − | 9.61264i | 0.382082 | − | 0.312534i | ||||
\(947\) | − | 46.9853i | − | 1.52682i | −0.645915 | − | 0.763409i | \(-0.723524\pi\) | ||
0.645915 | − | 0.763409i | \(-0.276476\pi\) | |||||||
\(948\) | −3.24025 | − | 4.45982i | −0.105238 | − | 0.144848i | ||||
\(949\) | 2.00736 | + | 6.17803i | 0.0651618 | + | 0.200547i | ||||
\(950\) | −27.7631 | − | 18.1401i | −0.900754 | − | 0.588542i | ||||
\(951\) | 25.0454 | + | 18.1966i | 0.812154 | + | 0.590064i | ||||
\(952\) | 0.365292 | − | 0.502781i | 0.0118392 | − | 0.0162952i | ||||
\(953\) | −40.4110 | − | 13.1303i | −1.30904 | − | 0.425333i | −0.430323 | − | 0.902675i | \(-0.641600\pi\) |
−0.878718 | + | 0.477341i | \(0.841600\pi\) | |||||||
\(954\) | −6.43506 | − | 19.8051i | −0.208343 | − | 0.641213i | ||||
\(955\) | −23.2170 | − | 42.9032i | −0.751284 | − | 1.38832i | ||||
\(956\) | 42.7180 | 1.38160 | ||||||||
\(957\) | 2.44491 | + | 42.6314i | 0.0790328 | + | 1.37808i | ||||
\(958\) | 42.4291i | 1.37082i | ||||||||
\(959\) | 6.63443 | − | 4.82019i | 0.214237 | − | 0.155652i | ||||
\(960\) | −9.26632 | − | 50.3895i | −0.299069 | − | 1.62631i | ||||
\(961\) | −9.52544 | + | 29.3163i | −0.307272 | + | 0.945687i | ||||
\(962\) | 34.1123 | − | 46.9515i | 1.09982 | − | 1.51378i | ||||
\(963\) | −17.3719 | + | 23.9103i | −0.559800 | + | 0.770499i | ||||
\(964\) | 14.7584 | − | 45.4216i | 0.475335 | − | 1.46293i | ||||
\(965\) | 9.09089 | + | 49.4354i | 0.292646 | + | 1.59138i | ||||
\(966\) | 13.9498 | − | 10.1351i | 0.448826 | − | 0.326091i | ||||
\(967\) | 54.1642i | 1.74180i | 0.491458 | + | 0.870901i | \(0.336464\pi\) | ||||
−0.491458 | + | 0.870901i | \(0.663536\pi\) | |||||||
\(968\) | −1.92930 | + | 0.881863i | −0.0620101 | + | 0.0283442i | ||||
\(969\) | −28.6596 | −0.920680 | ||||||||
\(970\) | 6.50233 | + | 12.0158i | 0.208777 | + | 0.385804i | ||||
\(971\) | 1.61878 | + | 4.98209i | 0.0519491 | + | 0.159883i | 0.973665 | − | 0.227982i | \(-0.0732127\pi\) |
−0.921716 | + | 0.387865i | \(0.873213\pi\) | |||||||
\(972\) | 43.0694 | + | 13.9941i | 1.38145 | + | 0.448861i | ||||
\(973\) | −4.39406 | + | 6.04791i | −0.140867 | + | 0.193887i | ||||
\(974\) | −36.9500 | − | 26.8457i | −1.18395 | − | 0.860193i | ||||
\(975\) | 32.4317 | − | 49.6362i | 1.03864 | − | 1.58963i | ||||
\(976\) | 2.90169 | + | 8.93049i | 0.0928809 | + | 0.285858i | ||||
\(977\) | 4.57381 | + | 6.29530i | 0.146329 | + | 0.201405i | 0.875890 | − | 0.482512i | \(-0.160275\pi\) |
−0.729561 | + | 0.683916i | \(0.760275\pi\) | |||||||
\(978\) | 87.8938i | 2.81053i | ||||||||
\(979\) | −40.3846 | + | 2.31606i | −1.29070 | + | 0.0740216i | ||||
\(980\) | 3.74973 | − | 28.1777i | 0.119781 | − | 0.900104i | ||||
\(981\) | 30.8376 | − | 22.4048i | 0.984567 | − | 0.715330i | ||||
\(982\) | −38.6394 | + | 12.5547i | −1.23303 | + | 0.400637i | ||||
\(983\) | −48.9924 | − | 15.9186i | −1.56261 | − | 0.507724i | −0.605109 | − | 0.796143i | \(-0.706871\pi\) |
−0.957504 | + | 0.288419i | \(0.906871\pi\) | |||||||
\(984\) | 2.36547 | + | 1.71861i | 0.0754083 | + | 0.0547873i | ||||
\(985\) | −41.7073 | − | 39.6896i | −1.32890 | − | 1.26462i | ||||
\(986\) | 10.2515 | − | 31.5509i | 0.326474 | − | 1.00478i | ||||
\(987\) | 10.4091 | − | 3.38213i | 0.331326 | − | 0.107654i | ||||
\(988\) | −18.2661 | − | 25.1411i | −0.581122 | − | 0.799846i | ||||
\(989\) | −7.61503 | −0.242144 | ||||||||
\(990\) | −49.3831 | + | 30.5023i | −1.56950 | + | 0.969428i | ||||
\(991\) | −22.3382 | −0.709596 | −0.354798 | − | 0.934943i | \(-0.615450\pi\) | ||||
−0.354798 | + | 0.934943i | \(0.615450\pi\) | |||||||
\(992\) | 1.98605 | + | 2.73356i | 0.0630571 | + | 0.0867906i | ||||
\(993\) | −72.9487 | + | 23.7025i | −2.31496 | + | 0.752175i | ||||
\(994\) | −3.29357 | + | 10.1366i | −0.104466 | + | 0.321512i | ||||
\(995\) | −26.1544 | + | 27.4840i | −0.829150 | + | 0.871300i | ||||
\(996\) | 32.8522 | + | 23.8686i | 1.04096 | + | 0.756304i | ||||
\(997\) | 0.175514 | + | 0.0570278i | 0.00555857 | + | 0.00180609i | 0.311795 | − | 0.950149i | \(-0.399070\pi\) |
−0.306236 | + | 0.951955i | \(0.599070\pi\) | |||||||
\(998\) | −8.95311 | + | 2.90904i | −0.283406 | + | 0.0920841i | ||||
\(999\) | −11.6562 | + | 8.46873i | −0.368786 | + | 0.267939i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))