Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [275,2,Mod(26,275)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(275, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("275.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 275 = 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 275.h (of order \(5\), 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: | \(2.19588605559\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
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: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 26.4 | ||
Root | \(-0.625353 + 1.92464i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 275.26 |
Dual form | 275.2.h.d.201.4 |
$q$-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 \(\left(\mathbb{Z}/275\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.63719 | + | 1.18949i | 1.15767 | + | 0.841097i | 0.989482 | − | 0.144657i | \(-0.0462080\pi\) |
0.168189 | + | 0.985755i | \(0.446208\pi\) | |||||||
\(3\) | −0.809808 | + | 2.49233i | −0.467543 | + | 1.43895i | 0.388213 | + | 0.921570i | \(0.373093\pi\) |
−0.855756 | + | 0.517380i | \(0.826907\pi\) | |||||||
\(4\) | 0.647481 | + | 1.99274i | 0.323741 | + | 0.996371i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −4.29042 | + | 3.11717i | −1.75156 | + | 1.27258i | ||||
\(7\) | 0.298456 | + | 0.918552i | 0.112806 | + | 0.347180i | 0.991483 | − | 0.130236i | \(-0.0415735\pi\) |
−0.878677 | + | 0.477416i | \(0.841573\pi\) | |||||||
\(8\) | −0.0595923 | + | 0.183406i | −0.0210691 | + | 0.0648439i | ||||
\(9\) | −3.12889 | − | 2.27327i | −1.04296 | − | 0.757756i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.31118 | − | 0.189896i | −0.998360 | − | 0.0572559i | ||||
\(12\) | −5.49092 | −1.58509 | ||||||||
\(13\) | 3.66088 | + | 2.65978i | 1.01534 | + | 0.737691i | 0.965323 | − | 0.261057i | \(-0.0840711\pi\) |
0.0500213 | + | 0.998748i | \(0.484071\pi\) | |||||||
\(14\) | −0.603980 | + | 1.85886i | −0.161420 | + | 0.496801i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.07453 | − | 2.23378i | 0.768633 | − | 0.558445i | ||||
\(17\) | 2.69944 | − | 1.96126i | 0.654710 | − | 0.475675i | −0.210162 | − | 0.977667i | \(-0.567399\pi\) |
0.864872 | + | 0.501992i | \(0.167399\pi\) | |||||||
\(18\) | −2.41856 | − | 7.44357i | −0.570060 | − | 1.75447i | ||||
\(19\) | 1.01283 | − | 3.11717i | 0.232359 | − | 0.715129i | −0.765101 | − | 0.643910i | \(-0.777311\pi\) |
0.997461 | − | 0.0712189i | \(-0.0226889\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.53103 | −0.552316 | ||||||||
\(22\) | −5.19517 | − | 4.24952i | −1.10761 | − | 0.906001i | ||||
\(23\) | −3.36643 | −0.701948 | −0.350974 | − | 0.936385i | \(-0.614149\pi\) | ||||
−0.350974 | + | 0.936385i | \(0.614149\pi\) | |||||||
\(24\) | −0.408851 | − | 0.297048i | −0.0834565 | − | 0.0606347i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.82978 | + | 8.70916i | 0.554965 | + | 1.70801i | ||||
\(27\) | 1.83923 | − | 1.33628i | 0.353959 | − | 0.257167i | ||||
\(28\) | −1.63719 | + | 1.18949i | −0.309401 | + | 0.224793i | ||||
\(29\) | 1.51820 | + | 4.67254i | 0.281923 | + | 0.867668i | 0.987304 | + | 0.158841i | \(0.0507756\pi\) |
−0.705382 | + | 0.708828i | \(0.749224\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.338464 | + | 0.245909i | 0.0607900 | + | 0.0441665i | 0.617765 | − | 0.786363i | \(-0.288038\pi\) |
−0.556975 | + | 0.830529i | \(0.688038\pi\) | |||||||
\(32\) | 8.07636 | 1.42771 | ||||||||
\(33\) | 3.15471 | − | 8.09880i | 0.549164 | − | 1.40982i | ||||
\(34\) | 6.75241 | 1.15803 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.50415 | − | 7.70697i | 0.417358 | − | 1.28449i | ||||
\(37\) | 1.95841 | + | 6.02737i | 0.321961 | + | 0.990894i | 0.972794 | + | 0.231673i | \(0.0744199\pi\) |
−0.650833 | + | 0.759221i | \(0.725580\pi\) | |||||||
\(38\) | 5.36605 | − | 3.89867i | 0.870489 | − | 0.632447i | ||||
\(39\) | −9.59368 | + | 6.97021i | −1.53622 | + | 1.11613i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.78786 | − | 5.50247i | 0.279217 | − | 0.859341i | −0.708856 | − | 0.705353i | \(-0.750788\pi\) |
0.988073 | − | 0.153988i | \(-0.0492117\pi\) | |||||||
\(42\) | −4.14379 | − | 3.01064i | −0.639401 | − | 0.464552i | ||||
\(43\) | −2.26205 | −0.344960 | −0.172480 | − | 0.985013i | \(-0.555178\pi\) | ||||
−0.172480 | + | 0.985013i | \(0.555178\pi\) | |||||||
\(44\) | −1.76552 | − | 6.72129i | −0.266161 | − | 1.01327i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.51149 | − | 4.00433i | −0.812625 | − | 0.590407i | ||||
\(47\) | 1.33626 | − | 4.11260i | 0.194914 | − | 0.599884i | −0.805063 | − | 0.593189i | \(-0.797869\pi\) |
0.999978 | − | 0.00669531i | \(-0.00213120\pi\) | |||||||
\(48\) | 3.07754 | + | 9.47169i | 0.444205 | + | 1.36712i | ||||
\(49\) | 4.90846 | − | 3.56620i | 0.701208 | − | 0.509457i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.70208 | + | 8.31615i | 0.378367 | + | 1.16449i | ||||
\(52\) | −2.92991 | + | 9.01735i | −0.406306 | + | 1.25048i | ||||
\(53\) | 2.15255 | + | 1.56392i | 0.295676 | + | 0.214821i | 0.725726 | − | 0.687984i | \(-0.241504\pi\) |
−0.430050 | + | 0.902805i | \(0.641504\pi\) | |||||||
\(54\) | 4.60066 | 0.626071 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.186254 | −0.0248892 | ||||||||
\(57\) | 6.94884 | + | 5.04863i | 0.920396 | + | 0.668707i | ||||
\(58\) | −3.07235 | + | 9.45574i | −0.403420 | + | 1.24160i | ||||
\(59\) | −3.12889 | − | 9.62972i | −0.407346 | − | 1.25368i | −0.918920 | − | 0.394444i | \(-0.870937\pi\) |
0.511574 | − | 0.859239i | \(-0.329063\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.99897 | − | 1.45233i | 0.255941 | − | 0.185952i | −0.452414 | − | 0.891808i | \(-0.649437\pi\) |
0.708356 | + | 0.705856i | \(0.249437\pi\) | |||||||
\(62\) | 0.261626 | + | 0.805201i | 0.0332265 | + | 0.102261i | ||||
\(63\) | 1.15428 | − | 3.55252i | 0.145426 | − | 0.447575i | ||||
\(64\) | 7.07350 | + | 5.13920i | 0.884187 | + | 0.642400i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 14.7983 | − | 9.50680i | 1.82155 | − | 1.17021i | ||||
\(67\) | −9.60059 | −1.17290 | −0.586449 | − | 0.809986i | \(-0.699475\pi\) | ||||
−0.586449 | + | 0.809986i | \(0.699475\pi\) | |||||||
\(68\) | 5.65612 | + | 4.10941i | 0.685905 | + | 0.498339i | ||||
\(69\) | 2.72616 | − | 8.39026i | 0.328191 | − | 1.01007i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.41166 | − | 3.20526i | 0.523567 | − | 0.380394i | −0.294379 | − | 0.955689i | \(-0.595113\pi\) |
0.817946 | + | 0.575295i | \(0.195113\pi\) | |||||||
\(72\) | 0.603390 | − | 0.438388i | 0.0711102 | − | 0.0516646i | ||||
\(73\) | 0.443607 | + | 1.36528i | 0.0519203 | + | 0.159794i | 0.973655 | − | 0.228028i | \(-0.0732276\pi\) |
−0.921734 | + | 0.387822i | \(0.873228\pi\) | |||||||
\(74\) | −3.96321 | + | 12.1975i | −0.460713 | + | 1.41793i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.86752 | 0.787758 | ||||||||
\(77\) | −0.813812 | − | 3.09817i | −0.0927425 | − | 0.353069i | ||||
\(78\) | −23.9977 | −2.71721 | ||||||||
\(79\) | −0.812218 | − | 0.590111i | −0.0913817 | − | 0.0663927i | 0.541156 | − | 0.840922i | \(-0.317987\pi\) |
−0.632538 | + | 0.774529i | \(0.717987\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.74436 | − | 5.36858i | −0.193818 | − | 0.596509i | ||||
\(82\) | 9.47221 | − | 6.88197i | 1.04603 | − | 0.759986i | ||||
\(83\) | −5.98302 | + | 4.34692i | −0.656721 | + | 0.477136i | −0.865554 | − | 0.500815i | \(-0.833034\pi\) |
0.208833 | + | 0.977951i | \(0.433034\pi\) | |||||||
\(84\) | −1.63880 | − | 5.04369i | −0.178807 | − | 0.550312i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.70342 | − | 2.69069i | −0.399350 | − | 0.290145i | ||||
\(87\) | −12.8750 | −1.38034 | ||||||||
\(88\) | 0.232149 | − | 0.595976i | 0.0247472 | − | 0.0635312i | ||||
\(89\) | −12.1964 | −1.29282 | −0.646410 | − | 0.762991i | \(-0.723730\pi\) | ||||
−0.646410 | + | 0.762991i | \(0.723730\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.35054 | + | 4.15654i | −0.141575 | + | 0.435723i | ||||
\(92\) | −2.17970 | − | 6.70842i | −0.227249 | − | 0.699401i | ||||
\(93\) | −0.886978 | + | 0.644427i | −0.0919754 | + | 0.0668240i | ||||
\(94\) | 7.07962 | − | 5.14365i | 0.730207 | − | 0.530527i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −6.54030 | + | 20.1290i | −0.667517 | + | 2.05440i | ||||
\(97\) | 2.44262 | + | 1.77467i | 0.248010 | + | 0.180190i | 0.704844 | − | 0.709362i | \(-0.251017\pi\) |
−0.456834 | + | 0.889552i | \(0.651017\pi\) | |||||||
\(98\) | 12.2781 | 1.24027 | ||||||||
\(99\) | 9.92863 | + | 8.12138i | 0.997865 | + | 0.816229i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.2940 | − | 8.93210i | −1.22330 | − | 0.888777i | −0.226928 | − | 0.973912i | \(-0.572868\pi\) |
−0.996369 | + | 0.0851342i | \(0.972868\pi\) | |||||||
\(102\) | −5.46815 | + | 16.8292i | −0.541428 | + | 1.66634i | ||||
\(103\) | −3.01196 | − | 9.26987i | −0.296778 | − | 0.913387i | −0.982619 | − | 0.185636i | \(-0.940565\pi\) |
0.685841 | − | 0.727751i | \(-0.259435\pi\) | |||||||
\(104\) | −0.705981 | + | 0.512925i | −0.0692272 | + | 0.0502965i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.66387 | + | 5.12088i | 0.161610 | + | 0.497384i | ||||
\(107\) | 2.36144 | − | 7.26778i | 0.228289 | − | 0.702602i | −0.769652 | − | 0.638464i | \(-0.779570\pi\) |
0.997941 | − | 0.0641384i | \(-0.0204299\pi\) | |||||||
\(108\) | 3.85372 | + | 2.79989i | 0.370825 | + | 0.269420i | ||||
\(109\) | −9.85576 | −0.944010 | −0.472005 | − | 0.881596i | \(-0.656470\pi\) | ||||
−0.472005 | + | 0.881596i | \(0.656470\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.6082 | −1.57638 | ||||||||
\(112\) | 2.96945 | + | 2.15743i | 0.280587 | + | 0.203858i | ||||
\(113\) | 1.55084 | − | 4.77298i | 0.145890 | − | 0.449004i | −0.851234 | − | 0.524786i | \(-0.824145\pi\) |
0.997124 | + | 0.0757819i | \(0.0241453\pi\) | |||||||
\(114\) | 5.37130 | + | 16.5312i | 0.503068 | + | 1.54829i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −8.32816 | + | 6.05076i | −0.773250 | + | 0.561799i | ||||
\(117\) | −5.40807 | − | 16.6443i | −0.499976 | − | 1.53877i | ||||
\(118\) | 6.33188 | − | 19.4875i | 0.582896 | − | 1.79397i | ||||
\(119\) | 2.60718 | + | 1.89423i | 0.239000 | + | 0.173644i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9279 | + | 1.25756i | 0.993444 | + | 0.114324i | ||||
\(122\) | 5.00023 | 0.452700 | ||||||||
\(123\) | 12.2662 | + | 8.91189i | 1.10600 | + | 0.803558i | ||||
\(124\) | −0.270884 | + | 0.833694i | −0.0243261 | + | 0.0748679i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 6.11547 | − | 4.44315i | 0.544810 | − | 0.395827i | ||||
\(127\) | −5.73626 | + | 4.16764i | −0.509011 | + | 0.369818i | −0.812448 | − | 0.583033i | \(-0.801866\pi\) |
0.303438 | + | 0.952851i | \(0.401866\pi\) | |||||||
\(128\) | 0.476198 | + | 1.46559i | 0.0420903 | + | 0.129541i | ||||
\(129\) | 1.83183 | − | 5.63779i | 0.161284 | − | 0.496380i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.21704 | 0.630556 | 0.315278 | − | 0.948999i | \(-0.397902\pi\) | ||||
0.315278 | + | 0.948999i | \(0.397902\pi\) | |||||||
\(132\) | 18.1814 | + | 1.04271i | 1.58249 | + | 0.0907559i | ||||
\(133\) | 3.16557 | 0.274490 | ||||||||
\(134\) | −15.7180 | − | 11.4198i | −1.35783 | − | 0.986521i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.198841 | + | 0.611970i | 0.0170505 | + | 0.0524760i | ||||
\(137\) | −6.86920 | + | 4.99076i | −0.586875 | + | 0.426390i | −0.841196 | − | 0.540730i | \(-0.818148\pi\) |
0.254321 | + | 0.967120i | \(0.418148\pi\) | |||||||
\(138\) | 14.4434 | − | 10.4937i | 1.22950 | − | 0.893286i | ||||
\(139\) | 2.39184 | + | 7.36133i | 0.202873 | + | 0.624380i | 0.999794 | + | 0.0202958i | \(0.00646080\pi\) |
−0.796921 | + | 0.604084i | \(0.793539\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.16785 | + | 6.66083i | 0.772072 | + | 0.560943i | ||||
\(142\) | 11.0354 | 0.926067 | ||||||||
\(143\) | −11.6168 | − | 9.50222i | −0.971442 | − | 0.794615i | ||||
\(144\) | −14.6978 | −1.22482 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.897720 | + | 2.76290i | −0.0742958 | + | 0.228659i | ||||
\(147\) | 4.91326 | + | 15.1215i | 0.405239 | + | 1.24720i | ||||
\(148\) | −10.7430 | + | 7.80522i | −0.883067 | + | 0.641585i | ||||
\(149\) | 13.6589 | − | 9.92376i | 1.11898 | − | 0.812986i | 0.134925 | − | 0.990856i | \(-0.456921\pi\) |
0.984054 | + | 0.177870i | \(0.0569206\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.79555 | + | 11.6815i | −0.308877 | + | 0.950626i | 0.669325 | + | 0.742970i | \(0.266584\pi\) |
−0.978202 | + | 0.207656i | \(0.933416\pi\) | |||||||
\(152\) | 0.511353 | + | 0.371519i | 0.0414762 | + | 0.0301342i | ||||
\(153\) | −12.9047 | −1.04328 | ||||||||
\(154\) | 2.35288 | − | 6.04033i | 0.189600 | − | 0.486744i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −20.1016 | − | 14.6046i | −1.60941 | − | 1.16931i | ||||
\(157\) | 1.30087 | − | 4.00368i | 0.103821 | − | 0.319528i | −0.885631 | − | 0.464390i | \(-0.846274\pi\) |
0.989452 | + | 0.144862i | \(0.0462737\pi\) | |||||||
\(158\) | −0.627827 | − | 1.93225i | −0.0499472 | − | 0.153722i | ||||
\(159\) | −5.64096 | + | 4.09840i | −0.447357 | + | 0.325024i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.00473 | − | 3.09224i | −0.0791837 | − | 0.243702i | ||||
\(162\) | 3.53003 | − | 10.8643i | 0.277345 | − | 0.853581i | ||||
\(163\) | 13.4083 | + | 9.74169i | 1.05022 | + | 0.763028i | 0.972254 | − | 0.233928i | \(-0.0751580\pi\) |
0.0779643 | + | 0.996956i | \(0.475158\pi\) | |||||||
\(164\) | 12.1226 | 0.946617 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −14.9660 | −1.16159 | ||||||||
\(167\) | −7.41608 | − | 5.38810i | −0.573874 | − | 0.416944i | 0.262637 | − | 0.964895i | \(-0.415408\pi\) |
−0.836510 | + | 0.547951i | \(0.815408\pi\) | |||||||
\(168\) | 0.150830 | − | 0.464207i | 0.0116368 | − | 0.0358144i | ||||
\(169\) | 2.31036 | + | 7.11055i | 0.177720 | + | 0.546965i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −10.2552 | + | 7.45085i | −0.784236 | + | 0.569781i | ||||
\(172\) | −1.46464 | − | 4.50769i | −0.111678 | − | 0.343708i | ||||
\(173\) | −1.26996 | + | 3.90853i | −0.0965531 | + | 0.297160i | −0.987655 | − | 0.156643i | \(-0.949933\pi\) |
0.891102 | + | 0.453803i | \(0.149933\pi\) | |||||||
\(174\) | −21.0788 | − | 15.3147i | −1.59798 | − | 1.16100i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.6045 | + | 6.81261i | −0.799346 | + | 0.513520i | ||||
\(177\) | 26.5343 | 1.99444 | ||||||||
\(178\) | −19.9679 | − | 14.5075i | −1.49666 | − | 1.08739i | ||||
\(179\) | −5.03576 | + | 15.4985i | −0.376390 | + | 1.15841i | 0.566145 | + | 0.824305i | \(0.308434\pi\) |
−0.942536 | + | 0.334105i | \(0.891566\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.48753 | − | 3.26038i | 0.333555 | − | 0.242342i | −0.408382 | − | 0.912811i | \(-0.633907\pi\) |
0.741938 | + | 0.670469i | \(0.233907\pi\) | |||||||
\(182\) | −7.15526 | + | 5.19860i | −0.530383 | + | 0.385346i | ||||
\(183\) | 2.00092 | + | 6.15820i | 0.147912 | + | 0.455227i | ||||
\(184\) | 0.200613 | − | 0.617424i | 0.0147894 | − | 0.0455171i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.21870 | −0.162683 | ||||||||
\(187\) | −9.31078 | + | 5.98147i | −0.680871 | + | 0.437408i | ||||
\(188\) | 9.06056 | 0.660809 | ||||||||
\(189\) | 1.77637 | + | 1.29061i | 0.129212 | + | 0.0938779i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.74155 | + | 20.7484i | 0.487802 | + | 1.50130i | 0.827882 | + | 0.560903i | \(0.189546\pi\) |
−0.340080 | + | 0.940396i | \(0.610454\pi\) | |||||||
\(192\) | −18.5368 | + | 13.4678i | −1.33778 | + | 0.971951i | ||||
\(193\) | −18.1858 | + | 13.2128i | −1.30904 | + | 0.951076i | −0.309044 | + | 0.951048i | \(0.600009\pi\) |
−1.00000 | 2.83481e-5i | \(0.999991\pi\) | ||||||||
\(194\) | 1.88809 | + | 5.81094i | 0.135557 | + | 0.417201i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.2847 | + | 7.47224i | 0.734619 | + | 0.533732i | ||||
\(197\) | −25.7479 | −1.83446 | −0.917230 | − | 0.398358i | \(-0.869580\pi\) | ||||
−0.917230 | + | 0.398358i | \(0.869580\pi\) | |||||||
\(198\) | 6.59480 | + | 25.1063i | 0.468672 | + | 1.78423i | ||||
\(199\) | 16.9671 | 1.20277 | 0.601385 | − | 0.798960i | \(-0.294616\pi\) | ||||
0.601385 | + | 0.798960i | \(0.294616\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.77463 | − | 23.9279i | 0.548380 | − | 1.68774i | ||||
\(202\) | −9.50298 | − | 29.2472i | −0.668627 | − | 2.05782i | ||||
\(203\) | −3.83886 | + | 2.78909i | −0.269435 | + | 0.195756i | ||||
\(204\) | −14.8224 | + | 10.7691i | −1.03778 | + | 0.753988i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.09526 | − | 18.7593i | 0.424677 | − | 1.30702i | ||||
\(207\) | 10.5332 | + | 7.65279i | 0.732106 | + | 0.531906i | ||||
\(208\) | 17.1969 | 1.19239 | ||||||||
\(209\) | −3.94561 | + | 10.1292i | −0.272924 | + | 0.700652i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.71363 | + | 3.42465i | 0.324500 | + | 0.235763i | 0.738093 | − | 0.674699i | \(-0.235726\pi\) |
−0.413593 | + | 0.910462i | \(0.635726\pi\) | |||||||
\(212\) | −1.72275 | + | 5.30209i | −0.118319 | + | 0.364149i | ||||
\(213\) | 4.41597 | + | 13.5910i | 0.302577 | + | 0.931238i | ||||
\(214\) | 12.5111 | − | 9.08984i | 0.855241 | − | 0.621369i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.135478 | + | 0.416958i | 0.00921810 | + | 0.0283704i | ||||
\(217\) | −0.124863 | + | 0.384290i | −0.00847628 | + | 0.0260873i | ||||
\(218\) | −16.1358 | − | 11.7233i | −1.09285 | − | 0.794005i | ||||
\(219\) | −3.76197 | −0.254211 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0988 | 1.01566 | ||||||||
\(222\) | −27.1908 | − | 19.7553i | −1.82493 | − | 1.32589i | ||||
\(223\) | 5.87820 | − | 18.0913i | 0.393634 | − | 1.21148i | −0.536387 | − | 0.843972i | \(-0.680211\pi\) |
0.930020 | − | 0.367508i | \(-0.119789\pi\) | |||||||
\(224\) | 2.41043 | + | 7.41856i | 0.161054 | + | 0.495673i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.21644 | − | 5.96959i | 0.546549 | − | 0.397091i | ||||
\(227\) | 8.79646 | + | 27.0727i | 0.583841 | + | 1.79688i | 0.603874 | + | 0.797079i | \(0.293623\pi\) |
−0.0200332 | + | 0.999799i | \(0.506377\pi\) | |||||||
\(228\) | −5.56137 | + | 17.1161i | −0.368311 | + | 1.13354i | ||||
\(229\) | 20.5420 | + | 14.9247i | 1.35746 | + | 0.986250i | 0.998602 | + | 0.0528558i | \(0.0168324\pi\) |
0.358854 | + | 0.933394i | \(0.383168\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 8.38071 | + | 0.480634i | 0.551410 | + | 0.0316234i | ||||
\(232\) | −0.947446 | −0.0622029 | ||||||||
\(233\) | −10.1268 | − | 7.35755i | −0.663429 | − | 0.482009i | 0.204390 | − | 0.978890i | \(-0.434479\pi\) |
−0.867819 | + | 0.496880i | \(0.834479\pi\) | |||||||
\(234\) | 10.9442 | − | 33.6828i | 0.715446 | − | 2.20192i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 17.1637 | − | 12.4701i | 1.11726 | − | 0.811737i | ||||
\(237\) | 2.12849 | − | 1.54644i | 0.138261 | − | 0.100452i | ||||
\(238\) | 2.01529 | + | 6.20244i | 0.130632 | + | 0.402044i | ||||
\(239\) | 6.30011 | − | 19.3897i | 0.407520 | − | 1.25422i | −0.511252 | − | 0.859431i | \(-0.670818\pi\) |
0.918773 | − | 0.394787i | \(-0.129182\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.7935 | −1.46826 | −0.734129 | − | 0.679010i | \(-0.762409\pi\) | ||||
−0.734129 | + | 0.679010i | \(0.762409\pi\) | |||||||
\(242\) | 16.3952 | + | 15.0575i | 1.05392 | + | 0.967932i | ||||
\(243\) | 21.6131 | 1.38648 | ||||||||
\(244\) | 4.18842 | + | 3.04307i | 0.268136 | + | 0.194812i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.48148 | + | 29.1810i | 0.604517 | + | 1.86051i | ||||
\(247\) | 11.9989 | − | 8.71768i | 0.763469 | − | 0.554693i | ||||
\(248\) | −0.0652711 | + | 0.0474222i | −0.00414472 | + | 0.00301132i | ||||
\(249\) | −5.98887 | − | 18.4318i | −0.379529 | − | 1.16807i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.7151 | − | 9.96460i | −0.865689 | − | 0.628960i | 0.0637374 | − | 0.997967i | \(-0.479698\pi\) |
−0.929427 | + | 0.369007i | \(0.879698\pi\) | |||||||
\(252\) | 7.82663 | 0.493031 | ||||||||
\(253\) | 11.1469 | + | 0.639272i | 0.700797 | + | 0.0401907i | ||||
\(254\) | −14.3487 | −0.900320 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.44000 | − | 13.6649i | 0.277500 | − | 0.854057i | ||||
\(257\) | 1.46346 | + | 4.50405i | 0.0912879 | + | 0.280955i | 0.986268 | − | 0.165150i | \(-0.0528108\pi\) |
−0.894981 | + | 0.446105i | \(0.852811\pi\) | |||||||
\(258\) | 9.70516 | − | 7.05121i | 0.604217 | − | 0.438989i | ||||
\(259\) | −4.95196 | + | 3.59781i | −0.307700 | + | 0.223557i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.87166 | − | 18.0711i | 0.363447 | − | 1.11857i | ||||
\(262\) | 11.8157 | + | 8.58461i | 0.729976 | + | 0.530359i | ||||
\(263\) | −18.1037 | −1.11632 | −0.558162 | − | 0.829732i | \(-0.688493\pi\) | ||||
−0.558162 | + | 0.829732i | \(0.688493\pi\) | |||||||
\(264\) | 1.29737 | + | 1.06122i | 0.0798479 | + | 0.0653136i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.18266 | + | 3.76542i | 0.317769 | + | 0.230873i | ||||
\(267\) | 9.87677 | − | 30.3976i | 0.604449 | − | 1.86030i | ||||
\(268\) | −6.21620 | − | 19.1315i | −0.379715 | − | 1.16864i | ||||
\(269\) | 1.85914 | − | 1.35074i | 0.113354 | − | 0.0823562i | −0.529664 | − | 0.848207i | \(-0.677682\pi\) |
0.643018 | + | 0.765851i | \(0.277682\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.248971 | + | 0.766255i | 0.0151239 | + | 0.0465467i | 0.958334 | − | 0.285651i | \(-0.0922098\pi\) |
−0.943210 | + | 0.332198i | \(0.892210\pi\) | |||||||
\(272\) | 3.91850 | − | 12.0599i | 0.237594 | − | 0.731239i | ||||
\(273\) | −9.26579 | − | 6.73199i | −0.560791 | − | 0.407439i | ||||
\(274\) | −17.1827 | −1.03804 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 18.4848 | 1.11265 | ||||||||
\(277\) | 9.57302 | + | 6.95521i | 0.575187 | + | 0.417898i | 0.836986 | − | 0.547225i | \(-0.184316\pi\) |
−0.261799 | + | 0.965122i | \(0.584316\pi\) | |||||||
\(278\) | −4.84033 | + | 14.8970i | −0.290304 | + | 0.893462i | ||||
\(279\) | −0.500000 | − | 1.53884i | −0.0299342 | − | 0.0921280i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.03960 | + | 3.66148i | −0.300637 | + | 0.218426i | −0.727869 | − | 0.685717i | \(-0.759489\pi\) |
0.427231 | + | 0.904142i | \(0.359489\pi\) | |||||||
\(282\) | 7.08655 | + | 21.8101i | 0.421998 | + | 1.29878i | ||||
\(283\) | −2.67165 | + | 8.22250i | −0.158813 | + | 0.488777i | −0.998527 | − | 0.0542519i | \(-0.982723\pi\) |
0.839714 | + | 0.543029i | \(0.182723\pi\) | |||||||
\(284\) | 9.24372 | + | 6.71596i | 0.548514 | + | 0.398519i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.71608 | − | 29.3750i | −0.456261 | − | 1.73698i | ||||
\(287\) | 5.58790 | 0.329843 | ||||||||
\(288\) | −25.2700 | − | 18.3597i | −1.48905 | − | 1.08186i | ||||
\(289\) | −1.81285 | + | 5.57937i | −0.106638 | + | 0.328198i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.40111 | + | 4.65068i | −0.375240 | + | 0.272628i | ||||
\(292\) | −2.43343 | + | 1.76799i | −0.142406 | + | 0.103464i | ||||
\(293\) | 1.79554 | + | 5.52610i | 0.104896 | + | 0.322838i | 0.989706 | − | 0.143115i | \(-0.0457117\pi\) |
−0.884810 | + | 0.465953i | \(0.845712\pi\) | |||||||
\(294\) | −9.94288 | + | 30.6010i | −0.579880 | + | 1.78469i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.22216 | −0.0710369 | ||||||||
\(297\) | −6.34377 | + | 4.07540i | −0.368103 | + | 0.236478i | ||||
\(298\) | 34.1665 | 1.97921 | ||||||||
\(299\) | −12.3241 | − | 8.95396i | −0.712719 | − | 0.517821i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.675123 | − | 2.07781i | −0.0389134 | − | 0.119763i | ||||
\(302\) | −20.1091 | + | 14.6101i | −1.15715 | + | 0.840717i | ||||
\(303\) | 32.2176 | − | 23.4074i | 1.85085 | − | 1.34472i | ||||
\(304\) | −3.84909 | − | 11.8463i | −0.220761 | − | 0.679432i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −21.1275 | − | 15.3500i | −1.20778 | − | 0.877503i | ||||
\(307\) | 18.4721 | 1.05426 | 0.527130 | − | 0.849785i | \(-0.323268\pi\) | ||||
0.527130 | + | 0.849785i | \(0.323268\pi\) | |||||||
\(308\) | 5.64693 | − | 3.62773i | 0.321764 | − | 0.206709i | ||||
\(309\) | 25.5427 | 1.45307 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.50158 | + | 10.7768i | −0.198557 | + | 0.611094i | 0.801360 | + | 0.598182i | \(0.204110\pi\) |
−0.999917 | + | 0.0129120i | \(0.995890\pi\) | |||||||
\(312\) | −0.706672 | − | 2.17491i | −0.0400074 | − | 0.123130i | ||||
\(313\) | 4.13811 | − | 3.00651i | 0.233900 | − | 0.169938i | −0.464661 | − | 0.885488i | \(-0.653824\pi\) |
0.698561 | + | 0.715550i | \(0.253824\pi\) | |||||||
\(314\) | 6.89212 | − | 5.00742i | 0.388945 | − | 0.282585i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.650043 | − | 2.00063i | 0.0365678 | − | 0.112544i | ||||
\(317\) | −9.55715 | − | 6.94368i | −0.536783 | − | 0.389996i | 0.286106 | − | 0.958198i | \(-0.407639\pi\) |
−0.822889 | + | 0.568202i | \(0.807639\pi\) | |||||||
\(318\) | −14.1104 | −0.791270 | ||||||||
\(319\) | −4.13974 | − | 15.7599i | −0.231781 | − | 0.882387i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 16.2014 | + | 11.7710i | 0.904274 | + | 0.656994i | ||||
\(322\) | 2.03325 | − | 6.25771i | 0.113309 | − | 0.348729i | ||||
\(323\) | −3.37951 | − | 10.4010i | −0.188041 | − | 0.578730i | ||||
\(324\) | 9.56877 | − | 6.95212i | 0.531598 | − | 0.386229i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 10.3643 | + | 31.8981i | 0.574026 | + | 1.76667i | ||||
\(327\) | 7.98127 | − | 24.5638i | 0.441365 | − | 1.35838i | ||||
\(328\) | 0.902645 | + | 0.655810i | 0.0498402 | + | 0.0362110i | ||||
\(329\) | 4.17645 | 0.230255 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.2692 | 1.60878 | 0.804391 | − | 0.594100i | \(-0.202492\pi\) | ||||
0.804391 | + | 0.594100i | \(0.202492\pi\) | |||||||
\(332\) | −12.5362 | − | 9.10807i | −0.688012 | − | 0.499870i | ||||
\(333\) | 7.57419 | − | 23.3110i | 0.415063 | − | 1.27743i | ||||
\(334\) | −5.73247 | − | 17.6427i | −0.313667 | − | 0.965367i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −7.78174 | + | 5.65376i | −0.424529 | + | 0.308438i | ||||
\(337\) | −8.23348 | − | 25.3400i | −0.448506 | − | 1.38036i | −0.878593 | − | 0.477572i | \(-0.841517\pi\) |
0.430087 | − | 0.902788i | \(-0.358483\pi\) | |||||||
\(338\) | −4.67543 | + | 14.3895i | −0.254310 | + | 0.782685i | ||||
\(339\) | 10.6400 | + | 7.73040i | 0.577885 | + | 0.419858i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.07402 | − | 0.878523i | −0.0581615 | − | 0.0475747i | ||||
\(342\) | −25.6525 | −1.38713 | ||||||||
\(343\) | 10.2103 | + | 7.41820i | 0.551303 | + | 0.400545i | ||||
\(344\) | 0.134801 | − | 0.414875i | 0.00726798 | − | 0.0223686i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.72833 | + | 4.88842i | −0.361717 | + | 0.262803i | ||||
\(347\) | −3.48790 | + | 2.53411i | −0.187240 | + | 0.136038i | −0.677457 | − | 0.735563i | \(-0.736918\pi\) |
0.490216 | + | 0.871601i | \(0.336918\pi\) | |||||||
\(348\) | −8.33631 | − | 25.6565i | −0.446873 | − | 1.37533i | ||||
\(349\) | −4.06960 | + | 12.5249i | −0.217841 | + | 0.670444i | 0.781099 | + | 0.624407i | \(0.214659\pi\) |
−0.998940 | + | 0.0460373i | \(0.985341\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.2874 | 0.549100 | ||||||||
\(352\) | −26.7423 | − | 1.53367i | −1.42537 | − | 0.0817449i | ||||
\(353\) | 25.4904 | 1.35672 | 0.678358 | − | 0.734732i | \(-0.262692\pi\) | ||||
0.678358 | + | 0.734732i | \(0.262692\pi\) | |||||||
\(354\) | 43.4418 | + | 31.5623i | 2.30890 | + | 1.67752i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −7.89696 | − | 24.3044i | −0.418538 | − | 1.28813i | ||||
\(357\) | −6.83237 | + | 4.96400i | −0.361607 | + | 0.262723i | ||||
\(358\) | −26.6798 | + | 19.3840i | −1.41007 | + | 1.02448i | ||||
\(359\) | 8.11915 | + | 24.9882i | 0.428512 | + | 1.31883i | 0.899591 | + | 0.436734i | \(0.143865\pi\) |
−0.471078 | + | 0.882091i | \(0.656135\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.68037 | + | 4.85358i | 0.351599 | + | 0.255451i | ||||
\(362\) | 11.2252 | 0.589981 | ||||||||
\(363\) | −11.9838 | + | 26.2175i | −0.628984 | + | 1.37606i | ||||
\(364\) | −9.15736 | −0.479976 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −4.04923 | + | 12.4622i | −0.211657 | + | 0.651412i | ||||
\(367\) | 0.623823 | + | 1.91993i | 0.0325633 | + | 0.100220i | 0.966017 | − | 0.258478i | \(-0.0832209\pi\) |
−0.933454 | + | 0.358698i | \(0.883221\pi\) | |||||||
\(368\) | −10.3502 | + | 7.51985i | −0.539541 | + | 0.391999i | ||||
\(369\) | −18.1026 | + | 13.1523i | −0.942384 | + | 0.684682i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.794101 | + | 2.44399i | −0.0412277 | + | 0.126886i | ||||
\(372\) | −1.85848 | − | 1.35026i | −0.0963577 | − | 0.0700080i | ||||
\(373\) | −8.87153 | −0.459351 | −0.229675 | − | 0.973267i | \(-0.573766\pi\) | ||||
−0.229675 | + | 0.973267i | \(0.573766\pi\) | |||||||
\(374\) | −22.3585 | − | 1.28226i | −1.15613 | − | 0.0663040i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.674645 | + | 0.490159i | 0.0347922 | + | 0.0252780i | ||||
\(377\) | −6.86999 | + | 21.1437i | −0.353823 | + | 1.08895i | ||||
\(378\) | 1.37309 | + | 4.22595i | 0.0706243 | + | 0.217359i | ||||
\(379\) | −17.0412 | + | 12.3812i | −0.875348 | + | 0.635978i | −0.932017 | − | 0.362415i | \(-0.881952\pi\) |
0.0566685 | + | 0.998393i | \(0.481952\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.74187 | − | 17.6717i | −0.294165 | − | 0.905346i | ||||
\(382\) | −13.6428 | + | 41.9881i | −0.698025 | + | 2.14830i | ||||
\(383\) | −21.0179 | − | 15.2704i | −1.07396 | − | 0.780281i | −0.0973436 | − | 0.995251i | \(-0.531035\pi\) |
−0.976621 | + | 0.214970i | \(0.931035\pi\) | |||||||
\(384\) | −4.03836 | −0.206082 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −45.4902 | −2.31539 | ||||||||
\(387\) | 7.07771 | + | 5.14225i | 0.359780 | + | 0.261396i | ||||
\(388\) | −1.95490 | + | 6.01657i | −0.0992451 | + | 0.305445i | ||||
\(389\) | −0.507965 | − | 1.56335i | −0.0257548 | − | 0.0792652i | 0.937353 | − | 0.348381i | \(-0.113269\pi\) |
−0.963108 | + | 0.269116i | \(0.913269\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.08746 | + | 6.60243i | −0.459573 | + | 0.333899i | ||||
\(392\) | 0.361558 | + | 1.11276i | 0.0182614 | + | 0.0562029i | ||||
\(393\) | −5.84442 | + | 17.9873i | −0.294812 | + | 0.907338i | ||||
\(394\) | −42.1543 | − | 30.6269i | −2.12370 | − | 1.54296i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −9.75521 | + | 25.0437i | −0.490218 | + | 1.25849i | ||||
\(397\) | 16.7088 | 0.838588 | 0.419294 | − | 0.907850i | \(-0.362278\pi\) | ||||
0.419294 | + | 0.907850i | \(0.362278\pi\) | |||||||
\(398\) | 27.7785 | + | 20.1823i | 1.39241 | + | 1.01165i | ||||
\(399\) | −2.56351 | + | 7.88966i | −0.128336 | + | 0.394977i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −22.4842 | + | 16.3357i | −1.12281 | + | 0.815766i | −0.984632 | − | 0.174641i | \(-0.944123\pi\) |
−0.138174 | + | 0.990408i | \(0.544123\pi\) | |||||||
\(402\) | 41.1906 | − | 29.9267i | 2.05440 | − | 1.49261i | ||||
\(403\) | 0.585013 | + | 1.80048i | 0.0291416 | + | 0.0896885i | ||||
\(404\) | 9.83926 | − | 30.2821i | 0.489521 | − | 1.50659i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.60255 | −0.476567 | ||||||||
\(407\) | −5.34009 | − | 20.3296i | −0.264698 | − | 1.00770i | ||||
\(408\) | −1.68626 | −0.0834822 | ||||||||
\(409\) | −31.9019 | − | 23.1781i | −1.57745 | − | 1.14608i | −0.919547 | − | 0.392980i | \(-0.871444\pi\) |
−0.657902 | − | 0.753104i | \(-0.728556\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.87591 | − | 21.1619i | −0.339164 | − | 1.04384i | ||||
\(412\) | 16.5223 | − | 12.0041i | 0.813994 | − | 0.591401i | ||||
\(413\) | 7.91157 | − | 5.74809i | 0.389303 | − | 0.282845i | ||||
\(414\) | 8.14191 | + | 25.0582i | 0.400153 | + | 1.23154i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 29.5665 | + | 21.4814i | 1.44962 | + | 1.05321i | ||||
\(417\) | −20.2838 | −0.993303 | ||||||||
\(418\) | −18.5083 | + | 11.8902i | −0.905272 | + | 0.581569i | ||||
\(419\) | 14.7812 | 0.722111 | 0.361055 | − | 0.932544i | \(-0.382417\pi\) | ||||
0.361055 | + | 0.932544i | \(0.382417\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.33036 | + | 10.2498i | −0.162312 | + | 0.499545i | −0.998828 | − | 0.0483974i | \(-0.984589\pi\) |
0.836516 | + | 0.547942i | \(0.184589\pi\) | |||||||
\(422\) | 3.64354 | + | 11.2136i | 0.177365 | + | 0.545872i | ||||
\(423\) | −13.5301 | + | 9.83016i | −0.657854 | + | 0.477959i | ||||
\(424\) | −0.415108 | + | 0.301594i | −0.0201594 | + | 0.0146467i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −8.93653 | + | 27.5038i | −0.432976 | + | 1.33256i | ||||
\(427\) | 1.93065 | + | 1.40270i | 0.0934306 | + | 0.0678813i | ||||
\(428\) | 16.0118 | 0.773960 | ||||||||
\(429\) | 33.0900 | − | 21.2579i | 1.59760 | − | 1.02634i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −26.0435 | − | 18.9217i | −1.25447 | − | 0.911428i | −0.256000 | − | 0.966677i | \(-0.582405\pi\) |
−0.998473 | + | 0.0552489i | \(0.982405\pi\) | |||||||
\(432\) | 2.66982 | − | 8.21685i | 0.128452 | − | 0.395334i | ||||
\(433\) | 0.118240 | + | 0.363904i | 0.00568223 | + | 0.0174881i | 0.953857 | − | 0.300260i | \(-0.0970734\pi\) |
−0.948175 | + | 0.317748i | \(0.897073\pi\) | |||||||
\(434\) | −0.661536 | + | 0.480634i | −0.0317547 | + | 0.0230712i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.38142 | − | 19.6400i | −0.305615 | − | 0.940585i | ||||
\(437\) | −3.40962 | + | 10.4937i | −0.163104 | + | 0.501983i | ||||
\(438\) | −6.15908 | − | 4.47484i | −0.294292 | − | 0.213816i | ||||
\(439\) | 26.5331 | 1.26635 | 0.633177 | − | 0.774007i | \(-0.281751\pi\) | ||||
0.633177 | + | 0.774007i | \(0.281751\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −23.4649 | −1.11738 | ||||||||
\(442\) | 24.7197 | + | 17.9599i | 1.17580 | + | 0.854267i | ||||
\(443\) | −4.48106 | + | 13.7913i | −0.212901 | + | 0.655243i | 0.786395 | + | 0.617725i | \(0.211945\pi\) |
−0.999296 | + | 0.0375185i | \(0.988055\pi\) | |||||||
\(444\) | −10.7535 | − | 33.0958i | −0.510337 | − | 1.57066i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 31.1432 | − | 22.6268i | 1.47467 | − | 1.07141i | ||||
\(447\) | 13.6722 | + | 42.0788i | 0.646675 | + | 1.99026i | ||||
\(448\) | −2.60950 | + | 8.03120i | −0.123287 | + | 0.379439i | ||||
\(449\) | −8.18240 | − | 5.94486i | −0.386151 | − | 0.280555i | 0.377725 | − | 0.925918i | \(-0.376706\pi\) |
−0.763876 | + | 0.645362i | \(0.776706\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.96483 | + | 17.8802i | −0.327961 | + | 0.841945i | ||||
\(452\) | 10.5155 | 0.494606 | ||||||||
\(453\) | −26.0405 | − | 18.9195i | −1.22349 | − | 0.888917i | ||||
\(454\) | −17.8012 | + | 54.7866i | −0.835454 | + | 2.57126i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.34005 | + | 0.973602i | −0.0627535 | + | 0.0455931i | ||||
\(457\) | −31.6235 | + | 22.9758i | −1.47928 | + | 1.07476i | −0.501496 | + | 0.865160i | \(0.667217\pi\) |
−0.977787 | + | 0.209602i | \(0.932783\pi\) | |||||||
\(458\) | 15.8785 | + | 48.8691i | 0.741956 | + | 2.28351i | ||||
\(459\) | 2.34410 | − | 7.21440i | 0.109413 | − | 0.336739i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 39.1322 | 1.82257 | 0.911285 | − | 0.411776i | \(-0.135092\pi\) | ||||
0.911285 | + | 0.411776i | \(0.135092\pi\) | |||||||
\(462\) | 13.1491 | + | 10.7557i | 0.611753 | + | 0.500399i | ||||
\(463\) | −12.9189 | −0.600392 | −0.300196 | − | 0.953878i | \(-0.597052\pi\) | ||||
−0.300196 | + | 0.953878i | \(0.597052\pi\) | |||||||
\(464\) | 15.1052 | + | 10.9745i | 0.701240 | + | 0.509481i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.82780 | − | 24.0915i | −0.362616 | − | 1.11602i | ||||
\(467\) | 9.10071 | − | 6.61206i | 0.421131 | − | 0.305969i | −0.356962 | − | 0.934119i | \(-0.616187\pi\) |
0.778093 | + | 0.628150i | \(0.216187\pi\) | |||||||
\(468\) | 29.6662 | − | 21.5538i | 1.37132 | − | 0.996324i | ||||
\(469\) | −2.86535 | − | 8.81864i | −0.132310 | − | 0.407207i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.92504 | + | 6.48442i | 0.411244 | + | 0.298786i | ||||
\(472\) | 1.95261 | 0.0898762 | ||||||||
\(473\) | 7.49007 | + | 0.429556i | 0.344394 | + | 0.0197510i | ||||
\(474\) | 5.32424 | 0.244550 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −2.08661 | + | 6.42192i | −0.0956395 | + | 0.294348i | ||||
\(477\) | −3.17988 | − | 9.78665i | −0.145597 | − | 0.448100i | ||||
\(478\) | 33.3784 | − | 24.2508i | 1.52669 | − | 1.10921i | ||||
\(479\) | −16.9621 | + | 12.3237i | −0.775017 | + | 0.563083i | −0.903479 | − | 0.428632i | \(-0.858996\pi\) |
0.128462 | + | 0.991714i | \(0.458996\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.86200 | + | 27.2744i | −0.404072 | + | 1.24361i | ||||
\(482\) | −37.3174 | − | 27.1126i | −1.69976 | − | 1.23495i | ||||
\(483\) | 8.52053 | 0.387697 | ||||||||
\(484\) | 4.56960 | + | 22.5907i | 0.207709 | + | 1.02685i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 35.3849 | + | 25.7086i | 1.60509 | + | 1.16617i | ||||
\(487\) | 6.97424 | − | 21.4645i | 0.316033 | − | 0.972649i | −0.659294 | − | 0.751885i | \(-0.729145\pi\) |
0.975327 | − | 0.220764i | \(-0.0708551\pi\) | |||||||
\(488\) | 0.147244 | + | 0.453171i | 0.00666543 | + | 0.0205141i | ||||
\(489\) | −35.1377 | + | 25.5290i | −1.58898 | + | 1.15446i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.20389 | − | 19.0936i | −0.279977 | − | 0.861682i | −0.987859 | − | 0.155351i | \(-0.950349\pi\) |
0.707882 | − | 0.706331i | \(-0.249651\pi\) | |||||||
\(492\) | −9.81699 | + | 30.2136i | −0.442584 | + | 1.36213i | ||||
\(493\) | 13.2623 | + | 9.63565i | 0.597306 | + | 0.433968i | ||||
\(494\) | 30.0141 | 1.35040 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58993 | 0.0713898 | ||||||||
\(497\) | 4.26088 | + | 3.09571i | 0.191127 | + | 0.138862i | ||||
\(498\) | 12.1196 | − | 37.3002i | 0.543091 | − | 1.67146i | ||||
\(499\) | 1.43750 | + | 4.42417i | 0.0643513 | + | 0.198053i | 0.978063 | − | 0.208311i | \(-0.0667966\pi\) |
−0.913711 | + | 0.406364i | \(0.866797\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 19.4346 | − | 14.1200i | 0.868272 | − | 0.630836i | ||||
\(502\) | −10.6015 | − | 32.6280i | −0.473167 | − | 1.45626i | ||||
\(503\) | 4.01636 | − | 12.3611i | 0.179081 | − | 0.551154i | −0.820716 | − | 0.571337i | \(-0.806425\pi\) |
0.999796 | + | 0.0201833i | \(0.00642496\pi\) | |||||||
\(504\) | 0.582768 | + | 0.423406i | 0.0259585 | + | 0.0188600i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 17.4892 | + | 14.3057i | 0.777488 | + | 0.635966i | ||||
\(507\) | −19.5928 | −0.870147 | ||||||||
\(508\) | −12.0191 | − | 8.73242i | −0.533263 | − | 0.387439i | ||||
\(509\) | 9.12976 | − | 28.0985i | 0.404669 | − | 1.24544i | −0.516501 | − | 0.856286i | \(-0.672766\pi\) |
0.921171 | − | 0.389158i | \(-0.127234\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.12169 | + | 0.814952i | −0.0496205 | + | 0.0360514i | ||||
\(512\) | 26.0168 | − | 18.9023i | 1.14979 | − | 0.835373i | ||||
\(513\) | −2.30258 | − | 7.08662i | −0.101661 | − | 0.312882i | ||||
\(514\) | −2.96157 | + | 9.11478i | −0.130629 | + | 0.402036i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 12.4207 | 0.546793 | ||||||||
\(517\) | −5.20558 | + | 13.3638i | −0.228941 | + | 0.587740i | ||||
\(518\) | −12.3869 | −0.544248 | ||||||||
\(519\) | −8.71293 | − | 6.33032i | −0.382455 | − | 0.277870i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.71896 | − | 29.9119i | −0.425796 | − | 1.31046i | −0.902230 | − | 0.431254i | \(-0.858071\pi\) |
0.476435 | − | 0.879210i | \(-0.341929\pi\) | |||||||
\(522\) | 31.1085 | − | 22.6016i | 1.36158 | − | 0.989247i | ||||
\(523\) | −7.29750 | + | 5.30194i | −0.319097 | + | 0.231838i | −0.735790 | − | 0.677210i | \(-0.763189\pi\) |
0.416693 | + | 0.909047i | \(0.363189\pi\) | |||||||
\(524\) | 4.67290 | + | 14.3817i | 0.204137 | + | 0.628268i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.6393 | − | 21.5342i | −1.29234 | − | 0.938937i | ||||
\(527\) | 1.39595 | 0.0608088 | ||||||||
\(528\) | −8.39166 | − | 31.9469i | −0.365200 | − | 1.39031i | ||||
\(529\) | −11.6672 | −0.507269 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −12.1010 | + | 37.2431i | −0.525140 | + | 1.61621i | ||||
\(532\) | 2.04965 | + | 6.30817i | 0.0888636 | + | 0.273494i | ||||
\(533\) | 21.1805 | − | 15.3885i | 0.917430 | − | 0.666552i | ||||
\(534\) | 52.3279 | − | 38.0184i | 2.26445 | − | 1.64522i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.572121 | − | 1.76081i | 0.0247119 | − | 0.0760553i | ||||
\(537\) | −34.5494 | − | 25.1016i | −1.49092 | − | 1.08321i | ||||
\(538\) | 4.65046 | 0.200496 | ||||||||
\(539\) | −16.9300 | + | 10.8763i | −0.729227 | + | 0.468473i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.91720 | + | 5.02564i | 0.297394 | + | 0.216069i | 0.726468 | − | 0.687200i | \(-0.241160\pi\) |
−0.429075 | + | 0.903269i | \(0.641160\pi\) | |||||||
\(542\) | −0.503839 | + | 1.55066i | −0.0216417 | + | 0.0666064i | ||||
\(543\) | 4.49192 | + | 13.8247i | 0.192767 | + | 0.593275i | ||||
\(544\) | 21.8016 | − | 15.8398i | 0.934737 | − | 0.679126i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −7.16226 | − | 22.0432i | −0.306516 | − | 0.943360i | ||||
\(547\) | −10.4849 | + | 32.2693i | −0.448304 | + | 1.37974i | 0.430516 | + | 0.902583i | \(0.358332\pi\) |
−0.878820 | + | 0.477154i | \(0.841668\pi\) | |||||||
\(548\) | −14.3930 | − | 10.4571i | −0.614838 | − | 0.446706i | ||||
\(549\) | −9.55608 | −0.407844 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.1028 | 0.686002 | ||||||||
\(552\) | 1.37637 | + | 0.999990i | 0.0585821 | + | 0.0425624i | ||||
\(553\) | 0.299637 | − | 0.922187i | 0.0127418 | − | 0.0392154i | ||||
\(554\) | 7.39974 | + | 22.7740i | 0.314385 | + | 0.967577i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.1206 | + | 9.53265i | −0.556436 | + | 0.404274i | ||||
\(557\) | −7.08904 | − | 21.8178i | −0.300372 | − | 0.924451i | −0.981364 | − | 0.192160i | \(-0.938451\pi\) |
0.680991 | − | 0.732291i | \(-0.261549\pi\) | |||||||
\(558\) | 1.01184 | − | 3.11413i | 0.0428347 | − | 0.131832i | ||||
\(559\) | −8.28110 | − | 6.01657i | −0.350253 | − | 0.254474i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.36788 | − | 28.0494i | −0.311072 | − | 1.18425i | ||||
\(562\) | −12.6061 | −0.531757 | ||||||||
\(563\) | −7.50980 | − | 5.45619i | −0.316500 | − | 0.229951i | 0.418180 | − | 0.908364i | \(-0.362668\pi\) |
−0.734681 | + | 0.678413i | \(0.762668\pi\) | |||||||
\(564\) | −7.33731 | + | 22.5819i | −0.308957 | + | 0.950871i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −14.1546 | + | 10.2839i | −0.594962 | + | 0.432266i | ||||
\(567\) | 4.41071 | − | 3.20457i | 0.185232 | − | 0.134579i | ||||
\(568\) | 0.324963 | + | 1.00013i | 0.0136352 | + | 0.0419647i | ||||
\(569\) | 9.55701 | − | 29.4135i | 0.400651 | − | 1.23308i | −0.523822 | − | 0.851828i | \(-0.675494\pi\) |
0.924473 | − | 0.381248i | \(-0.124506\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.63736 | −0.110370 | −0.0551851 | − | 0.998476i | \(-0.517575\pi\) | ||||
−0.0551851 | + | 0.998476i | \(0.517575\pi\) | |||||||
\(572\) | 11.4138 | − | 29.3017i | 0.477237 | − | 1.22517i | ||||
\(573\) | −57.1712 | −2.38836 | ||||||||
\(574\) | 9.14848 | + | 6.64676i | 0.381850 | + | 0.277430i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −10.4494 | − | 32.1599i | −0.435391 | − | 1.34000i | ||||
\(577\) | 29.6347 | − | 21.5309i | 1.23371 | − | 0.896342i | 0.236546 | − | 0.971620i | \(-0.423985\pi\) |
0.997163 | + | 0.0752785i | \(0.0239846\pi\) | |||||||
\(578\) | −9.60459 | + | 6.97814i | −0.399498 | + | 0.290252i | ||||
\(579\) | −18.2036 | − | 56.0249i | −0.756516 | − | 2.32832i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.77854 | − | 4.19835i | −0.239734 | − | 0.174177i | ||||
\(582\) | −16.0118 | −0.663710 | ||||||||
\(583\) | −6.83051 | − | 5.58719i | −0.282891 | − | 0.231398i | ||||
\(584\) | −0.276837 | −0.0114556 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.63360 | + | 11.1831i | −0.150103 | + | 0.461968i | ||||
\(587\) | 4.24973 | + | 13.0793i | 0.175405 | + | 0.539842i | 0.999652 | − | 0.0263892i | \(-0.00840092\pi\) |
−0.824246 | + | 0.566231i | \(0.808401\pi\) | |||||||
\(588\) | −26.9519 | + | 19.5817i | −1.11148 | + | 0.807536i | ||||
\(589\) | 1.10935 | − | 0.805989i | 0.0457099 | − | 0.0332102i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 20.8508 | − | 64.1723i | 0.857689 | − | 2.63970i | ||||
\(592\) | 19.4850 | + | 14.1567i | 0.800829 | + | 0.581837i | ||||
\(593\) | 20.1550 | 0.827668 | 0.413834 | − | 0.910352i | \(-0.364189\pi\) | ||||
0.413834 | + | 0.910352i | \(0.364189\pi\) | |||||||
\(594\) | −15.2336 | − | 0.873649i | −0.625044 | − | 0.0358463i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 28.6194 | + | 20.7932i | 1.17230 | + | 0.851722i | ||||
\(597\) | −13.7401 | + | 42.2878i | −0.562346 | + | 1.73072i | ||||
\(598\) | −9.52624 | − | 29.3187i | −0.389557 | − | 1.19893i | ||||
\(599\) | −3.49753 | + | 2.54110i | −0.142905 | + | 0.103827i | −0.656941 | − | 0.753942i | \(-0.728150\pi\) |
0.514036 | + | 0.857769i | \(0.328150\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1214 | + | 34.2281i | 0.453650 | + | 1.39619i | 0.872713 | + | 0.488234i | \(0.162359\pi\) |
−0.419063 | + | 0.907957i | \(0.637641\pi\) | |||||||
\(602\) | 1.36623 | − | 4.20484i | 0.0556836 | − | 0.171376i | ||||
\(603\) | 30.0391 | + | 21.8247i | 1.22329 | + | 0.888771i | ||||
\(604\) | −25.7358 | −1.04717 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 80.5893 | 3.27372 | ||||||||
\(607\) | −32.0774 | − | 23.3056i | −1.30198 | − | 0.945945i | −0.302009 | − | 0.953305i | \(-0.597657\pi\) |
−0.999973 | + | 0.00736018i | \(0.997657\pi\) | |||||||
\(608\) | 8.17999 | − | 25.1754i | 0.331742 | − | 1.02100i | ||||
\(609\) | −3.84261 | − | 11.8263i | −0.155710 | − | 0.479227i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.8305 | − | 11.5015i | 0.640434 | − | 0.465303i | ||||
\(612\) | −8.35556 | − | 25.7158i | −0.337753 | − | 1.03950i | ||||
\(613\) | −1.17887 | + | 3.62818i | −0.0476139 | + | 0.146541i | −0.972037 | − | 0.234828i | \(-0.924547\pi\) |
0.924423 | + | 0.381369i | \(0.124547\pi\) | |||||||
\(614\) | 30.2424 | + | 21.9724i | 1.22049 | + | 0.886735i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.616721 | + | 0.0353690i | 0.0248484 | + | 0.00142506i | ||||
\(617\) | 28.4055 | 1.14356 | 0.571781 | − | 0.820407i | \(-0.306253\pi\) | ||||
0.571781 | + | 0.820407i | \(0.306253\pi\) | |||||||
\(618\) | 41.8184 | + | 30.3828i | 1.68218 | + | 1.22218i | ||||
\(619\) | 7.43830 | − | 22.8927i | 0.298971 | − | 0.920137i | −0.682888 | − | 0.730523i | \(-0.739276\pi\) |
0.981859 | − | 0.189614i | \(-0.0607236\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.19162 | + | 4.49848i | −0.248461 | + | 0.180518i | ||||
\(622\) | −18.5516 | + | 13.4786i | −0.743853 | + | 0.540441i | ||||
\(623\) | −3.64010 | − | 11.2031i | −0.145837 | − | 0.448841i | ||||
\(624\) | −13.9262 | + | 42.8603i | −0.557492 | + | 1.71579i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 10.3511 | 0.413714 | ||||||||
\(627\) | −22.0502 | − | 18.0365i | −0.880599 | − | 0.720308i | ||||
\(628\) | 8.82059 | 0.351980 | ||||||||
\(629\) | 17.1078 | + | 12.4296i | 0.682135 | + | 0.495600i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.90889 | + | 18.1857i | 0.235229 | + | 0.723961i | 0.997091 | + | 0.0762213i | \(0.0242855\pi\) |
−0.761862 | + | 0.647740i | \(0.775714\pi\) | |||||||
\(632\) | 0.156632 | − | 0.113800i | 0.00623049 | − | 0.00452672i | ||||
\(633\) | −12.3525 | + | 8.97463i | −0.490969 | + | 0.356710i | ||||
\(634\) | −7.38747 | − | 22.7363i | −0.293394 | − | 0.902974i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −11.8195 | − | 8.58735i | −0.468673 | − | 0.340511i | ||||
\(637\) | 27.4546 | 1.08779 | ||||||||
\(638\) | 11.9687 | − | 30.7263i | 0.473847 | − | 1.21646i | ||||
\(639\) | −21.0900 | −0.834307 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.70172 | − | 11.3927i | 0.146209 | − | 0.449985i | −0.850955 | − | 0.525238i | \(-0.823976\pi\) |
0.997165 | + | 0.0752526i | \(0.0239763\pi\) | |||||||
\(642\) | 12.5233 | + | 38.5429i | 0.494257 | + | 1.52117i | ||||
\(643\) | −20.8248 | + | 15.1301i | −0.821248 | + | 0.596672i | −0.917070 | − | 0.398727i | \(-0.869452\pi\) |
0.0958216 | + | 0.995399i | \(0.469452\pi\) | |||||||
\(644\) | 5.51149 | − | 4.00433i | 0.217183 | − | 0.157793i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.83905 | − | 21.0484i | 0.269079 | − | 0.828139i | ||||
\(647\) | 7.52570 | + | 5.46774i | 0.295866 | + | 0.214959i | 0.725808 | − | 0.687897i | \(-0.241466\pi\) |
−0.429942 | + | 0.902856i | \(0.641466\pi\) | |||||||
\(648\) | 1.08858 | 0.0427636 | ||||||||
\(649\) | 8.53167 | + | 32.4800i | 0.334897 | + | 1.27495i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.856664 | − | 0.622403i | −0.0335753 | − | 0.0243939i | ||||
\(652\) | −10.7311 | + | 33.0268i | −0.420261 | + | 1.29343i | ||||
\(653\) | 11.5729 | + | 35.6177i | 0.452882 | + | 1.39383i | 0.873604 | + | 0.486637i | \(0.161777\pi\) |
−0.420723 | + | 0.907189i | \(0.638223\pi\) | |||||||
\(654\) | 42.2854 | − | 30.7221i | 1.65349 | − | 1.20133i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −6.79446 | − | 20.9112i | −0.265279 | − | 0.816445i | ||||
\(657\) | 1.71566 | − | 5.28025i | 0.0669342 | − | 0.206002i | ||||
\(658\) | 6.83766 | + | 4.96785i | 0.266560 | + | 0.193667i | ||||
\(659\) | −4.93753 | −0.192339 | −0.0961693 | − | 0.995365i | \(-0.530659\pi\) | ||||
−0.0961693 | + | 0.995365i | \(0.530659\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.82155 | −0.187537 | −0.0937683 | − | 0.995594i | \(-0.529891\pi\) | ||||
−0.0937683 | + | 0.995594i | \(0.529891\pi\) | |||||||
\(662\) | 47.9194 | + | 34.8155i | 1.86244 | + | 1.35314i | ||||
\(663\) | −12.2272 | + | 37.6313i | −0.474864 | + | 1.46148i | ||||
\(664\) | −0.440710 | − | 1.35637i | −0.0171029 | − | 0.0526372i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 40.1286 | − | 29.1551i | 1.55495 | − | 1.12974i | ||||
\(667\) | −5.11091 | − | 15.7297i | −0.197895 | − | 0.609058i | ||||
\(668\) | 5.93532 | − | 18.2670i | 0.229645 | − | 0.706773i | ||||
\(669\) | 40.3292 | + | 29.3009i | 1.55922 | + | 1.13284i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.89474 | + | 4.42935i | −0.266168 | + | 0.170993i | ||||
\(672\) | −20.4415 | −0.788548 | ||||||||
\(673\) | 26.6280 | + | 19.3464i | 1.02644 | + | 0.745749i | 0.967592 | − | 0.252518i | \(-0.0812588\pi\) |
0.0588431 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(674\) | 16.6619 | − | 51.2802i | 0.641794 | − | 1.97524i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.6736 | + | 9.20789i | −0.487445 | + | 0.354150i | ||||
\(677\) | 13.8686 | − | 10.0761i | 0.533014 | − | 0.387258i | −0.288470 | − | 0.957489i | \(-0.593146\pi\) |
0.821484 | + | 0.570231i | \(0.193146\pi\) | |||||||
\(678\) | 8.22448 | + | 25.3123i | 0.315859 | + | 0.972114i | ||||
\(679\) | −0.901110 | + | 2.77333i | −0.0345814 | + | 0.106431i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −74.5977 | −2.85859 | ||||||||
\(682\) | −0.713386 | − | 2.71585i | −0.0273170 | − | 0.103995i | ||||
\(683\) | −19.3586 | −0.740737 | −0.370368 | − | 0.928885i | \(-0.620769\pi\) | ||||
−0.370368 | + | 0.928885i | \(0.620769\pi\) | |||||||
\(684\) | −21.4877 | − | 15.6117i | −0.821602 | − | 0.596929i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 7.89232 | + | 24.2901i | 0.301330 | + | 0.927399i | ||||
\(687\) | −53.8324 | + | 39.1115i | −2.05383 | + | 1.49220i | ||||
\(688\) | −6.95475 | + | 5.05292i | −0.265148 | + | 0.192641i | ||||
\(689\) | 3.72054 | + | 11.4506i | 0.141741 | + | 0.436234i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.39559 | + | 5.37321i | 0.281342 | + | 0.204407i | 0.719502 | − | 0.694490i | \(-0.244370\pi\) |
−0.438161 | + | 0.898897i | \(0.644370\pi\) | |||||||
\(692\) | −8.61097 | −0.327340 | ||||||||
\(693\) | −4.49665 | + | 11.5438i | −0.170814 | + | 0.438514i | ||||
\(694\) | −8.72467 | −0.331184 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.767250 | − | 2.36135i | 0.0290825 | − | 0.0895068i | ||||
\(697\) | −5.96554 | − | 18.3600i | −0.225961 | − | 0.695436i | ||||
\(698\) | −21.5610 | + | 15.6650i | −0.816096 | + | 0.592929i | ||||
\(699\) | 26.5383 | − | 19.2812i | 1.00377 | − | 0.729281i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.72594 | + | 14.5450i | −0.178496 | + | 0.549355i | −0.999776 | − | 0.0211707i | \(-0.993261\pi\) |
0.821279 | + | 0.570526i | \(0.193261\pi\) | |||||||
\(702\) | 16.8425 | + | 12.2368i | 0.635678 | + | 0.461847i | ||||
\(703\) | 20.7719 | 0.783428 | ||||||||
\(704\) | −22.4457 | − | 18.3601i | −0.845956 | − | 0.691971i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 41.7327 | + | 30.3206i | 1.57063 | + | 1.14113i | ||||
\(707\) | 4.53539 | − | 13.9585i | 0.170571 | − | 0.524964i | ||||
\(708\) | 17.1805 | + | 52.8760i | 0.645681 | + | 1.98720i | ||||
\(709\) | −34.7172 | + | 25.2235i | −1.30383 | + | 0.947290i | −0.999985 | − | 0.00543044i | \(-0.998271\pi\) |
−0.303848 | + | 0.952721i | \(0.598271\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.19986 | + | 3.69278i | 0.0449982 | + | 0.138490i | ||||
\(712\) | 0.726814 | − | 2.23690i | 0.0272385 | − | 0.0838315i | ||||
\(713\) | −1.13942 | − | 0.827834i | −0.0426714 | − | 0.0310026i | ||||
\(714\) | −17.0905 | −0.639598 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −34.1450 | −1.27606 | ||||||||
\(717\) | 43.2238 | + | 31.4039i | 1.61422 | + | 1.17280i | ||||
\(718\) | −16.4306 | + | 50.5682i | −0.613184 | + | 1.88719i | ||||
\(719\) | 1.48738 | + | 4.57768i | 0.0554699 | + | 0.170719i | 0.974953 | − | 0.222411i | \(-0.0713925\pi\) |
−0.919483 | + | 0.393129i | \(0.871393\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.61592 | − | 5.53329i | 0.283632 | − | 0.206071i | ||||
\(722\) | 5.16378 | + | 15.8925i | 0.192176 | + | 0.591457i | ||||
\(723\) | 18.4584 | − | 56.8090i | 0.686473 | − | 2.11275i | ||||
\(724\) | 9.40269 | + | 6.83146i | 0.349448 | + | 0.253889i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −50.8053 | + | 28.6686i | −1.88556 | + | 1.06399i | ||||
\(727\) | −21.8922 | −0.811937 | −0.405969 | − | 0.913887i | \(-0.633066\pi\) | ||||
−0.405969 | + | 0.913887i | \(0.633066\pi\) | |||||||
\(728\) | −0.681853 | − | 0.495395i | −0.0252712 | − | 0.0183606i | ||||
\(729\) | −12.2694 | + | 37.7614i | −0.454423 | + | 1.39857i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −6.10627 | + | 4.43647i | −0.225849 | + | 0.164089i | ||||
\(732\) | −10.9762 | + | 7.97464i | −0.405690 | + | 0.294751i | ||||
\(733\) | −14.8419 | − | 45.6788i | −0.548199 | − | 1.68718i | −0.713259 | − | 0.700901i | \(-0.752782\pi\) |
0.165060 | − | 0.986284i | \(-0.447218\pi\) | |||||||
\(734\) | −1.26242 | + | 3.88533i | −0.0465968 | + | 0.143410i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −27.1885 | −1.00218 | ||||||||
\(737\) | 31.7893 | + | 1.82312i | 1.17097 | + | 0.0671554i | ||||
\(738\) | −45.2820 | −1.66685 | ||||||||
\(739\) | 27.5934 | + | 20.0478i | 1.01504 | + | 0.737470i | 0.965260 | − | 0.261290i | \(-0.0841478\pi\) |
0.0497805 | + | 0.998760i | \(0.484148\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 12.0106 | + | 36.9648i | 0.441220 | + | 1.35794i | ||||
\(742\) | −4.20720 | + | 3.05671i | −0.154451 | + | 0.112215i | ||||
\(743\) | 21.3906 | − | 15.5411i | 0.784743 | − | 0.570149i | −0.121656 | − | 0.992572i | \(-0.538820\pi\) |
0.906399 | + | 0.422423i | \(0.138820\pi\) | |||||||
\(744\) | −0.0653350 | − | 0.201080i | −0.00239530 | − | 0.00737196i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −14.5244 | − | 10.5526i | −0.531777 | − | 0.386359i | ||||
\(747\) | 28.6019 | 1.04649 | ||||||||
\(748\) | −17.9481 | − | 14.6811i | −0.656247 | − | 0.536794i | ||||
\(749\) | 7.38062 | 0.269682 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.1963 | − | 43.6918i | 0.518032 | − | 1.59434i | −0.259666 | − | 0.965699i | \(-0.583612\pi\) |
0.777697 | − | 0.628639i | \(-0.216388\pi\) | |||||||
\(752\) | −5.07825 | − | 15.6292i | −0.185185 | − | 0.569939i | ||||
\(753\) | 35.9417 | − | 26.1132i | 1.30979 | − | 0.951617i | ||||
\(754\) | −36.3977 | + | 26.4445i | −1.32553 | + | 0.963052i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.42168 | + | 4.37549i | −0.0517061 | + | 0.159135i | ||||
\(757\) | 24.9628 | + | 18.1365i | 0.907288 | + | 0.659183i | 0.940327 | − | 0.340271i | \(-0.110519\pi\) |
−0.0330398 | + | 0.999454i | \(0.510519\pi\) | |||||||
\(758\) | −42.6271 | −1.54828 | ||||||||
\(759\) | −10.6201 | + | 27.2640i | −0.385485 | + | 0.989620i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 11.4860 | + | 8.34507i | 0.416367 | + | 0.302508i | 0.776175 | − | 0.630518i | \(-0.217158\pi\) |
−0.359807 | + | 0.933027i | \(0.617158\pi\) | |||||||
\(762\) | 11.6197 | − | 35.7618i | 0.420938 | − | 1.29551i | ||||
\(763\) | −2.94151 | − | 9.05303i | −0.106490 | − | 0.327742i | ||||
\(764\) | −36.9811 | + | 26.8684i | −1.33793 | + | 0.972063i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.2464 | − | 50.0012i | −0.587005 | − | 1.80662i | ||||
\(767\) | 14.1585 | − | 43.5754i | 0.511234 | − | 1.57342i | ||||
\(768\) | 30.4620 | + | 22.1319i | 1.09920 | + | 0.798617i | ||||
\(769\) | −30.0208 | −1.08258 | −0.541290 | − | 0.840836i | \(-0.682064\pi\) | ||||
−0.541290 | + | 0.840836i | \(0.682064\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.4107 | −0.446961 | ||||||||
\(772\) | −38.1046 | − | 27.6846i | −1.37142 | − | 0.996392i | ||||
\(773\) | −9.40320 | + | 28.9401i | −0.338209 | + | 1.04090i | 0.626910 | + | 0.779092i | \(0.284319\pi\) |
−0.965119 | + | 0.261810i | \(0.915681\pi\) | |||||||
\(774\) | 5.47091 | + | 16.8377i | 0.196648 | + | 0.605220i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.471046 | + | 0.342235i | −0.0169096 | + | 0.0122855i | ||||
\(777\) | −4.95680 | − | 15.2555i | −0.177824 | − | 0.547287i | ||||
\(778\) | 1.02796 | − | 3.16373i | 0.0368541 | − | 0.113425i | ||||
\(779\) | −15.3414 | − | 11.1461i | −0.549661 | − | 0.399352i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.2165 | + | 9.77544i | −0.544488 | + | 0.349793i | ||||
\(782\) | −22.7315 | −0.812876 | ||||||||
\(783\) | 9.03612 | + | 6.56512i | 0.322925 | + | 0.234618i | ||||
\(784\) | 7.12510 | − | 21.9288i | 0.254468 | − | 0.783172i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −30.9642 | + | 22.4968i | −1.10445 | + | 0.802433i | ||||
\(787\) | −24.6465 | + | 17.9067i | −0.878553 | + | 0.638306i | −0.932868 | − | 0.360218i | \(-0.882702\pi\) |
0.0543151 | + | 0.998524i | \(0.482702\pi\) | |||||||
\(788\) | −16.6713 | − | 51.3089i | −0.593890 | − | 1.82780i | ||||
\(789\) | 14.6605 | − | 45.1205i | 0.521929 | − | 1.60633i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.84709 | 0.172343 | ||||||||
\(792\) | −2.08118 | + | 1.33700i | −0.0739516 | + | 0.0475083i | ||||
\(793\) | 11.1809 | 0.397044 | ||||||||
\(794\) | 27.3555 | + | 19.8749i | 0.970810 | + | 0.705334i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.9859 | + | 33.8112i | 0.389385 | + | 1.19840i | ||||
\(797\) | 26.7341 | − | 19.4235i | 0.946970 | − | 0.688014i | −0.00311796 | − | 0.999995i | \(-0.500992\pi\) |
0.950088 | + | 0.311981i | \(0.100992\pi\) | |||||||
\(798\) | −13.5816 | + | 9.86764i | −0.480785 | + | 0.349311i | ||||
\(799\) | −4.45870 | − | 13.7225i | −0.157737 | − | 0.485466i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 38.1613 | + | 27.7258i | 1.34836 | + | 0.979642i | ||||
\(802\) | −56.2421 | −1.98598 | ||||||||
\(803\) | −1.20960 | − | 4.60494i | −0.0426859 | − | 0.162505i | ||||
\(804\) | 52.7160 | 1.85915 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.18388 | + | 3.64361i | −0.0417004 | + | 0.128341i | ||||
\(807\) | 1.86095 | + | 5.72743i | 0.0655087 | + | 0.201615i | ||||
\(808\) | 2.37083 | − | 1.72251i | 0.0834056 | − | 0.0605977i | ||||
\(809\) | −8.89072 | + | 6.45948i | −0.312581 | + | 0.227103i | −0.733003 | − | 0.680225i | \(-0.761882\pi\) |
0.420422 | + | 0.907329i | \(0.361882\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.5951 | − | 38.7638i | 0.442275 | − | 1.36118i | −0.443171 | − | 0.896437i | \(-0.646146\pi\) |
0.885445 | − | 0.464744i | \(-0.153854\pi\) | |||||||
\(812\) | −8.04353 | − | 5.84397i | −0.282273 | − | 0.205083i | ||||
\(813\) | −2.11138 | −0.0740494 | ||||||||
\(814\) | 15.4392 | − | 39.6355i | 0.541142 | − | 1.38923i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 26.8841 | + | 19.5324i | 0.941130 | + | 0.683771i | ||||
\(817\) | −2.29108 | + | 7.05121i | −0.0801547 | + | 0.246691i | ||||
\(818\) | −24.6595 | − | 75.8941i | −0.862199 | − | 2.65358i | ||||
\(819\) | 13.6746 | − | 9.93519i | 0.477830 | − | 0.347164i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.66851 | + | 14.3682i | 0.162932 | + | 0.501454i | 0.998878 | − | 0.0473584i | \(-0.0150803\pi\) |
−0.835946 | + | 0.548812i | \(0.815080\pi\) | |||||||
\(822\) | 13.9147 | − | 42.8250i | 0.485330 | − | 1.49369i | ||||
\(823\) | −29.4735 | − | 21.4138i | −1.02738 | − | 0.746437i | −0.0595989 | − | 0.998222i | \(-0.518982\pi\) |
−0.967783 | + | 0.251786i | \(0.918982\pi\) | |||||||
\(824\) | 1.87964 | 0.0654805 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.7901 | 0.688585 | ||||||||
\(827\) | −3.07703 | − | 2.23560i | −0.106999 | − | 0.0777393i | 0.532999 | − | 0.846116i | \(-0.321065\pi\) |
−0.639998 | + | 0.768376i | \(0.721065\pi\) | |||||||
\(828\) | −8.43002 | + | 25.9449i | −0.292963 | + | 0.901649i | ||||
\(829\) | −8.43810 | − | 25.9698i | −0.293067 | − | 0.901969i | −0.983864 | − | 0.178919i | \(-0.942740\pi\) |
0.690796 | − | 0.723049i | \(-0.257260\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −25.0870 | + | 18.2268i | −0.870259 | + | 0.632280i | ||||
\(832\) | 12.2261 | + | 37.6279i | 0.423862 | + | 1.30451i | ||||
\(833\) | 6.25584 | − | 19.2535i | 0.216752 | − | 0.667094i | ||||
\(834\) | −33.2085 | − | 24.1274i | −1.14992 | − | 0.835464i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −22.7396 | − | 1.30412i | −0.786466 | − | 0.0451038i | ||||
\(837\) | 0.951115 | 0.0328754 | ||||||||
\(838\) | 24.1998 | + | 17.5821i | 0.835967 | + | 0.607365i | ||||
\(839\) | 8.75291 | − | 26.9387i | 0.302184 | − | 0.930026i | −0.678529 | − | 0.734573i | \(-0.737382\pi\) |
0.980713 | − | 0.195453i | \(-0.0626177\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.93381 | − | 2.85808i | 0.135649 | − | 0.0985546i | ||||
\(842\) | −17.6445 | + | 12.8195i | −0.608070 | + | 0.441788i | ||||
\(843\) | −5.04453 | − | 15.5255i | −0.173743 | − | 0.534725i | ||||
\(844\) | −3.77247 | + | 11.6105i | −0.129854 | + | 0.399649i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −33.8442 | −1.16359 | ||||||||
\(847\) | 2.10635 | + | 10.4132i | 0.0723750 | + | 0.357800i | ||||
\(848\) | 10.1115 | 0.347232 | ||||||||
\(849\) | −18.3297 | − | 13.3173i | −0.629073 | − | 0.457048i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6.59285 | − | 20.2907i | −0.226000 | − | 0.695556i | ||||
\(852\) | −24.2240 | + | 17.5998i | −0.829902 | + | 0.602959i | ||||
\(853\) | −6.74977 | + | 4.90400i | −0.231108 | + | 0.167910i | −0.697313 | − | 0.716767i | \(-0.745621\pi\) |
0.466205 | + | 0.884677i | \(0.345621\pi\) | |||||||
\(854\) | 1.49235 | + | 4.59298i | 0.0510671 | + | 0.157168i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.19223 | + | 0.866207i | 0.0407497 | + | 0.0296064i | ||||
\(857\) | −8.59547 | −0.293616 | −0.146808 | − | 0.989165i | \(-0.546900\pi\) | ||||
−0.146808 | + | 0.989165i | \(0.546900\pi\) | |||||||
\(858\) | 79.4609 | + | 4.55708i | 2.71275 | + | 0.155576i | ||||
\(859\) | 9.40807 | 0.320999 | 0.160500 | − | 0.987036i | \(-0.448689\pi\) | ||||
0.160500 | + | 0.987036i | \(0.448689\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.52513 | + | 13.9269i | −0.154216 | + | 0.474628i | ||||
\(862\) | −20.1311 | − | 61.9571i | −0.685667 | − | 2.11027i | ||||
\(863\) | 8.35396 | − | 6.06951i | 0.284372 | − | 0.206608i | −0.436450 | − | 0.899728i | \(-0.643764\pi\) |
0.720822 | + | 0.693120i | \(0.243764\pi\) | |||||||
\(864\) | 14.8543 | − | 10.7922i | 0.505352 | − | 0.367160i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.239279 | + | 0.736426i | −0.00813104 | + | 0.0250248i | ||||
\(867\) | −12.4376 | − | 9.03644i | −0.422403 | − | 0.306893i | ||||
\(868\) | −0.846638 | −0.0287368 | ||||||||
\(869\) | 2.57734 | + | 2.10820i | 0.0874304 | + | 0.0715159i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −35.1466 | − | 25.5355i | −1.19090 | − | 0.865237i | ||||
\(872\) | 0.587328 | − | 1.80761i | 0.0198894 | − | 0.0612133i | ||||
\(873\) | −3.60838 | − | 11.1055i | −0.122125 | − | 0.375863i | ||||
\(874\) | −18.0644 | + | 13.1246i | −0.611038 | + | 0.443945i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.43581 | − | 7.49665i | −0.0822984 | − | 0.253288i | ||||
\(877\) | 9.20969 | − | 28.3445i | 0.310989 | − | 0.957126i | −0.666385 | − | 0.745608i | \(-0.732159\pi\) |
0.977374 | − | 0.211518i | \(-0.0678407\pi\) | |||||||
\(878\) | 43.4398 | + | 31.5608i | 1.46602 | + | 1.06513i | ||||
\(879\) | −15.2269 | −0.513591 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 30.1175 | 1.01469 | 0.507343 | − | 0.861744i | \(-0.330628\pi\) | ||||
0.507343 | + | 0.861744i | \(0.330628\pi\) | |||||||
\(882\) | −38.4167 | − | 27.9113i | −1.29356 | − | 0.939824i | ||||
\(883\) | 15.5627 | − | 47.8970i | 0.523726 | − | 1.61186i | −0.243096 | − | 0.970002i | \(-0.578163\pi\) |
0.766822 | − | 0.641860i | \(-0.221837\pi\) | |||||||
\(884\) | 9.77622 | + | 30.0881i | 0.328810 | + | 1.01197i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −23.7410 | + | 17.2488i | −0.797593 | + | 0.579485i | ||||
\(887\) | 12.7950 | + | 39.3789i | 0.429613 | + | 1.32221i | 0.898507 | + | 0.438959i | \(0.144653\pi\) |
−0.468893 | + | 0.883255i | \(0.655347\pi\) | |||||||
\(888\) | 0.989719 | − | 3.04604i | 0.0332128 | − | 0.102218i | ||||
\(889\) | −5.54021 | − | 4.02520i | −0.185813 | − | 0.135001i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.75642 | + | 18.1076i | 0.159346 | + | 0.606628i | ||||
\(892\) | 39.8572 | 1.33452 | ||||||||
\(893\) | −11.4663 | − | 8.33074i | −0.383704 | − | 0.278777i | ||||
\(894\) | −27.6683 | + | 85.1542i | −0.925366 | + | 2.84798i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.20409 | + | 0.874825i | −0.0402259 | + | 0.0292258i | ||||
\(897\) | 32.2964 | − | 23.4647i | 1.07835 | − | 0.783464i | ||||
\(898\) | −6.32481 | − | 19.4658i | −0.211062 | − | 0.649581i | ||||
\(899\) | −0.635162 | + | 1.95483i | −0.0211838 | + | 0.0651971i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.87793 | 0.295767 | ||||||||
\(902\) | −32.6711 | + | 20.9887i | −1.08783 | + | 0.698848i | ||||
\(903\) | 5.72532 | 0.190527 | ||||||||
\(904\) | 0.782977 | + | 0.568866i | 0.0260414 | + | 0.0189202i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −20.1287 | − | 61.9499i | −0.668733 | − | 2.05815i | ||||
\(907\) | 3.74749 | − | 2.72271i | 0.124433 | − | 0.0904062i | −0.523828 | − | 0.851824i | \(-0.675496\pi\) |
0.648261 | + | 0.761418i | \(0.275496\pi\) | |||||||
\(908\) | −48.2534 | + | 35.0582i | −1.60135 | + | 1.16345i | ||||
\(909\) | 18.1614 | + | 55.8951i | 0.602376 | + | 1.85392i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.64577 | − | 4.10189i | −0.187053 | − | 0.135902i | 0.490318 | − | 0.871544i | \(-0.336881\pi\) |
−0.677371 | + | 0.735642i | \(0.736881\pi\) | |||||||
\(912\) | 32.6419 | 1.08088 | ||||||||
\(913\) | 20.6363 | − | 13.2573i | 0.682963 | − | 0.438752i | ||||
\(914\) | −79.1032 | −2.61650 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −16.4404 | + | 50.5984i | −0.543207 | + | 1.67182i | ||||
\(917\) | 2.15397 | + | 6.62923i | 0.0711303 | + | 0.218916i | ||||
\(918\) | 12.4192 | − | 9.02308i | 0.409895 | − | 0.297806i | ||||
\(919\) | 18.9477 | − | 13.7663i | 0.625027 | − | 0.454109i | −0.229647 | − | 0.973274i | \(-0.573757\pi\) |
0.854674 | + | 0.519165i | \(0.173757\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.9589 | + | 46.0387i | −0.492912 | + | 1.51703i | ||||
\(922\) | 64.0671 | + | 46.5474i | 2.10994 | + | 1.53296i | ||||
\(923\) | 24.6758 | 0.812215 | ||||||||
\(924\) | 4.46857 | + | 17.0118i | 0.147005 | + | 0.559647i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −21.1507 | − | 15.3669i | −0.695057 | − | 0.504988i | ||||
\(927\) | −11.6488 | + | 35.8514i | −0.382597 | + | 1.17751i | ||||
\(928\) | 12.2615 | + | 37.7371i | 0.402504 | + | 1.23878i | ||||
\(929\) | 14.6355 | − | 10.6333i | 0.480175 | − | 0.348868i | −0.321218 | − | 0.947005i | \(-0.604092\pi\) |
0.801394 | + | 0.598137i | \(0.204092\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.14504 | − | 18.9125i | −0.201395 | − | 0.619831i | ||||
\(932\) | 8.10480 | − | 24.9440i | 0.265481 | − | 0.817068i | ||||
\(933\) | −24.0237 | − | 17.4542i | −0.786500 | − | 0.571426i | ||||
\(934\) | 22.7646 | 0.744881 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.37495 | 0.110314 | ||||||||
\(937\) | −8.90696 | − | 6.47128i | −0.290978 | − | 0.211408i | 0.432714 | − | 0.901531i | \(-0.357556\pi\) |
−0.723691 | + | 0.690124i | \(0.757556\pi\) | |||||||
\(938\) | 5.79856 | − | 17.8461i | 0.189330 | − | 0.582697i | ||||
\(939\) | 4.14216 | + | 12.7483i | 0.135174 | + | 0.416023i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −27.3293 | + | 19.8559i | −0.890908 | + | 0.647283i | −0.936115 | − | 0.351695i | \(-0.885605\pi\) |
0.0452063 | + | 0.998978i | \(0.485605\pi\) | |||||||
\(942\) | 6.89886 | + | 21.2325i | 0.224777 | + | 0.691793i | ||||
\(943\) | −6.01870 | + | 18.5237i | −0.195996 | + | 0.603213i | ||||
\(944\) | −31.1305 | − | 22.6177i | −1.01321 | − | 0.736142i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 11.7517 | + | 9.61264i | 0.382082 | + | 0.312534i | ||||
\(947\) | −46.9853 | −1.52682 | −0.763409 | − | 0.645915i | \(-0.776476\pi\) | ||||
−0.763409 | + | 0.645915i | \(0.776476\pi\) | |||||||
\(948\) | 4.45982 | + | 3.24025i | 0.144848 | + | 0.105238i | ||||
\(949\) | −2.00736 | + | 6.17803i | −0.0651618 | + | 0.200547i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 25.0454 | − | 18.1966i | 0.812154 | − | 0.590064i | ||||
\(952\) | −0.502781 | + | 0.365292i | −0.0162952 | + | 0.0118392i | ||||
\(953\) | 13.1303 | + | 40.4110i | 0.425333 | + | 1.30904i | 0.902675 | + | 0.430323i | \(0.141600\pi\) |
−0.477341 | + | 0.878718i | \(0.658400\pi\) | |||||||
\(954\) | 6.43506 | − | 19.8051i | 0.208343 | − | 0.641213i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 42.7180 | 1.38160 | ||||||||
\(957\) | 42.6314 | + | 2.44491i | 1.37808 | + | 0.0790328i | ||||
\(958\) | −42.4291 | −1.37082 | ||||||||
\(959\) | −6.63443 | − | 4.82019i | −0.214237 | − | 0.155652i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.52544 | − | 29.3163i | −0.307272 | − | 0.945687i | ||||
\(962\) | −46.9515 | + | 34.1123i | −1.51378 | + | 1.09982i | ||||
\(963\) | −23.9103 | + | 17.3719i | −0.770499 | + | 0.559800i | ||||
\(964\) | −14.7584 | − | 45.4216i | −0.475335 | − | 1.46293i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 13.9498 | + | 10.1351i | 0.448826 | + | 0.326091i | ||||
\(967\) | 54.1642 | 1.74180 | 0.870901 | − | 0.491458i | \(-0.163536\pi\) | ||||
0.870901 | + | 0.491458i | \(0.163536\pi\) | |||||||
\(968\) | −0.881863 | + | 1.92930i | −0.0283442 | + | 0.0620101i | ||||
\(969\) | 28.6596 | 0.920680 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.61878 | − | 4.98209i | 0.0519491 | − | 0.159883i | −0.921716 | − | 0.387865i | \(-0.873213\pi\) |
0.973665 | + | 0.227982i | \(0.0732127\pi\) | |||||||
\(972\) | 13.9941 | + | 43.0694i | 0.448861 | + | 1.38145i | ||||
\(973\) | −6.04791 | + | 4.39406i | −0.193887 | + | 0.140867i | ||||
\(974\) | 36.9500 | − | 26.8457i | 1.18395 | − | 0.860193i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.90169 | − | 8.93049i | 0.0928809 | − | 0.285858i | ||||
\(977\) | 6.29530 | + | 4.57381i | 0.201405 | + | 0.146329i | 0.683916 | − | 0.729561i | \(-0.260275\pi\) |
−0.482512 | + | 0.875890i | \(0.660275\pi\) | |||||||
\(978\) | −87.8938 | −2.81053 | ||||||||
\(979\) | 40.3846 | + | 2.31606i | 1.29070 | + | 0.0740216i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.8376 | + | 22.4048i | 0.984567 | + | 0.715330i | ||||
\(982\) | 12.5547 | − | 38.6394i | 0.400637 | − | 1.23303i | ||||
\(983\) | 15.9186 | + | 48.9924i | 0.507724 | + | 1.56261i | 0.796143 | + | 0.605109i | \(0.206871\pi\) |
−0.288419 | + | 0.957504i | \(0.593129\pi\) | |||||||
\(984\) | −2.36547 | + | 1.71861i | −0.0754083 | + | 0.0547873i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 10.2515 | + | 31.5509i | 0.326474 | + | 1.00478i | ||||
\(987\) | −3.38213 | + | 10.4091i | −0.107654 | + | 0.331326i | ||||
\(988\) | 25.1411 | + | 18.2661i | 0.799846 | + | 0.581122i | ||||
\(989\) | 7.61503 | 0.242144 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.3382 | −0.709596 | −0.354798 | − | 0.934943i | \(-0.615450\pi\) | ||||
−0.354798 | + | 0.934943i | \(0.615450\pi\) | |||||||
\(992\) | 2.73356 | + | 1.98605i | 0.0867906 | + | 0.0630571i | ||||
\(993\) | −23.7025 | + | 72.9487i | −0.752175 | + | 2.31496i | ||||
\(994\) | 3.29357 | + | 10.1366i | 0.104466 | + | 0.321512i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 32.8522 | − | 23.8686i | 1.04096 | − | 0.756304i | ||||
\(997\) | 0.0570278 | + | 0.175514i | 0.00180609 | + | 0.00555857i | 0.951955 | − | 0.306236i | \(-0.0990698\pi\) |
−0.950149 | + | 0.311795i | \(0.899070\pi\) | |||||||
\(998\) | −2.90904 | + | 8.95311i | −0.0920841 | + | 0.283406i | ||||
\(999\) | 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 \(a_p\))