Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.18 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.300359 | + | 1.38195i | 0.212386 | + | 0.977186i | ||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | −1.81957 | + | 0.830163i | −0.909784 | + | 0.415081i | ||||
\(5\) | 2.22495 | − | 0.222669i | 0.995030 | − | 0.0995806i | ||||
\(6\) | −0.0804769 | − | 1.41192i | −0.0328546 | − | 0.576415i | ||||
\(7\) | 3.70249 | − | 3.70249i | 1.39941 | − | 1.39941i | 0.597664 | − | 0.801747i | \(-0.296096\pi\) |
0.801747 | − | 0.597664i | \(-0.203904\pi\) | |||||||
\(8\) | −1.69377 | − | 2.26520i | −0.598837 | − | 0.800871i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 0.976003 | + | 3.00789i | 0.308639 | + | 0.951179i | ||||
\(11\) | −0.352091 | + | 0.114401i | −0.106160 | + | 0.0344933i | −0.361615 | − | 0.932327i | \(-0.617775\pi\) |
0.255456 | + | 0.966821i | \(0.417775\pi\) | |||||||
\(12\) | 1.92703 | − | 0.535299i | 0.556286 | − | 0.154528i | ||||
\(13\) | 2.36428 | + | 4.64017i | 0.655734 | + | 1.28695i | 0.944172 | + | 0.329453i | \(0.106864\pi\) |
−0.288438 | + | 0.957499i | \(0.593136\pi\) | |||||||
\(14\) | 6.22874 | + | 4.00458i | 1.66470 | + | 1.07027i | ||||
\(15\) | −2.23239 | − | 0.128132i | −0.576402 | − | 0.0330835i | ||||
\(16\) | 2.62166 | − | 3.02108i | 0.655415 | − | 0.755269i | ||||
\(17\) | −0.155364 | − | 0.980930i | −0.0376813 | − | 0.237910i | 0.961658 | − | 0.274251i | \(-0.0884299\pi\) |
−0.999339 | + | 0.0363406i | \(0.988430\pi\) | |||||||
\(18\) | −0.141387 | + | 1.40713i | −0.0333253 | + | 0.331663i | ||||
\(19\) | −2.30977 | − | 1.67815i | −0.529897 | − | 0.384993i | 0.290422 | − | 0.956899i | \(-0.406204\pi\) |
−0.820319 | + | 0.571906i | \(0.806204\pi\) | |||||||
\(20\) | −3.86360 | + | 2.25224i | −0.863928 | + | 0.503615i | ||||
\(21\) | −4.23611 | + | 3.07771i | −0.924394 | + | 0.671612i | ||||
\(22\) | −0.263851 | − | 0.452211i | −0.0562532 | − | 0.0964117i | ||||
\(23\) | −3.21049 | + | 6.30095i | −0.669434 | + | 1.31384i | 0.267237 | + | 0.963631i | \(0.413889\pi\) |
−0.936672 | + | 0.350208i | \(0.886111\pi\) | |||||||
\(24\) | 1.31856 | + | 2.50228i | 0.269150 | + | 0.510776i | ||||
\(25\) | 4.90084 | − | 0.990856i | 0.980167 | − | 0.198171i | ||||
\(26\) | −5.70234 | + | 4.66104i | −1.11832 | + | 0.914105i | ||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | −3.66327 | + | 9.81061i | −0.692292 | + | 1.85403i | ||||
\(29\) | 0.959703 | + | 1.32092i | 0.178212 | + | 0.245288i | 0.888773 | − | 0.458348i | \(-0.151559\pi\) |
−0.710561 | + | 0.703636i | \(0.751559\pi\) | |||||||
\(30\) | −0.493449 | − | 3.12354i | −0.0900910 | − | 0.570278i | ||||
\(31\) | 3.91704 | − | 5.39135i | 0.703522 | − | 0.968315i | −0.296390 | − | 0.955067i | \(-0.595783\pi\) |
0.999912 | − | 0.0132480i | \(-0.00421711\pi\) | |||||||
\(32\) | 4.96242 | + | 2.71559i | 0.877239 | + | 0.480053i | ||||
\(33\) | 0.365653 | − | 0.0579137i | 0.0636520 | − | 0.0100815i | ||||
\(34\) | 1.30893 | − | 0.509337i | 0.224480 | − | 0.0873505i | ||||
\(35\) | 7.41344 | − | 9.06230i | 1.25310 | − | 1.53181i | ||||
\(36\) | −1.98705 | + | 0.227254i | −0.331174 | + | 0.0378757i | ||||
\(37\) | −3.78075 | + | 1.92639i | −0.621552 | + | 0.316697i | −0.736256 | − | 0.676703i | \(-0.763408\pi\) |
0.114704 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(38\) | 1.62535 | − | 3.69603i | 0.263667 | − | 0.599575i | ||||
\(39\) | −1.60929 | − | 4.95290i | −0.257693 | − | 0.793098i | ||||
\(40\) | −4.27295 | − | 4.66283i | −0.675612 | − | 0.737257i | ||||
\(41\) | 0.959013 | − | 2.95154i | 0.149773 | − | 0.460953i | −0.847821 | − | 0.530282i | \(-0.822086\pi\) |
0.997594 | + | 0.0693295i | \(0.0220860\pi\) | |||||||
\(42\) | −5.52560 | − | 4.92967i | −0.852618 | − | 0.760664i | ||||
\(43\) | 0.302937 | + | 0.302937i | 0.0461974 | + | 0.0461974i | 0.729828 | − | 0.683631i | \(-0.239600\pi\) |
−0.683631 | + | 0.729828i | \(0.739600\pi\) | |||||||
\(44\) | 0.545682 | − | 0.500454i | 0.0822647 | − | 0.0754463i | ||||
\(45\) | 2.18487 | + | 0.475778i | 0.325700 | + | 0.0709248i | ||||
\(46\) | −9.67190 | − | 2.54419i | −1.42604 | − | 0.375121i | ||||
\(47\) | −0.817946 | + | 5.16431i | −0.119310 | + | 0.753292i | 0.853398 | + | 0.521259i | \(0.174538\pi\) |
−0.972708 | + | 0.232032i | \(0.925462\pi\) | |||||||
\(48\) | −3.06198 | + | 2.57376i | −0.441959 | + | 0.371491i | ||||
\(49\) | − | 20.4169i | − | 2.91670i | ||||||
\(50\) | 2.84133 | + | 6.47510i | 0.401824 | + | 0.915717i | ||||
\(51\) | 0.993157i | 0.139070i | ||||||||
\(52\) | −8.15407 | − | 6.48036i | −1.13077 | − | 0.898665i | ||||
\(53\) | −0.685412 | + | 4.32752i | −0.0941485 | + | 0.594431i | 0.894834 | + | 0.446399i | \(0.147294\pi\) |
−0.988983 | + | 0.148032i | \(0.952706\pi\) | |||||||
\(54\) | 0.359770 | − | 1.36769i | 0.0489585 | − | 0.186119i | ||||
\(55\) | −0.757913 | + | 0.332938i | −0.102197 | + | 0.0448933i | ||||
\(56\) | −14.6581 | − | 2.11574i | −1.95877 | − | 0.282728i | ||||
\(57\) | 2.01881 | + | 2.01881i | 0.267398 | + | 0.267398i | ||||
\(58\) | −1.53719 | + | 1.72301i | −0.201842 | + | 0.226242i | ||||
\(59\) | −1.32518 | + | 4.07849i | −0.172524 | + | 0.530974i | −0.999512 | − | 0.0312458i | \(-0.990053\pi\) |
0.826988 | + | 0.562220i | \(0.190053\pi\) | |||||||
\(60\) | 4.16836 | − | 1.62011i | 0.538133 | − | 0.209155i | ||||
\(61\) | −2.66600 | − | 8.20510i | −0.341346 | − | 1.05056i | −0.963511 | − | 0.267669i | \(-0.913747\pi\) |
0.622165 | − | 0.782886i | \(-0.286253\pi\) | |||||||
\(62\) | 8.62709 | + | 3.79382i | 1.09564 | + | 0.481815i | ||||
\(63\) | 4.66541 | − | 2.37715i | 0.587787 | − | 0.299492i | ||||
\(64\) | −2.26230 | + | 7.67346i | −0.282788 | + | 0.959183i | ||||
\(65\) | 6.29364 | + | 9.79771i | 0.780630 | + | 1.21526i | ||||
\(66\) | 0.189861 | + | 0.487919i | 0.0233703 | + | 0.0600586i | ||||
\(67\) | −4.13082 | + | 0.654258i | −0.504660 | + | 0.0799304i | −0.403573 | − | 0.914947i | \(-0.632232\pi\) |
−0.101087 | + | 0.994878i | \(0.532232\pi\) | |||||||
\(68\) | 1.09703 | + | 1.65589i | 0.133034 | + | 0.200806i | ||||
\(69\) | 4.15665 | − | 5.72114i | 0.500402 | − | 0.688745i | ||||
\(70\) | 14.7503 | + | 7.52306i | 1.76300 | + | 0.899177i | ||||
\(71\) | −3.73936 | − | 5.14679i | −0.443780 | − | 0.610811i | 0.527267 | − | 0.849700i | \(-0.323217\pi\) |
−0.971047 | + | 0.238889i | \(0.923217\pi\) | |||||||
\(72\) | −0.910882 | − | 2.67774i | −0.107348 | − | 0.315575i | ||||
\(73\) | −12.0226 | − | 6.12582i | −1.40714 | − | 0.716973i | −0.425011 | − | 0.905188i | \(-0.639730\pi\) |
−0.982128 | + | 0.188215i | \(0.939730\pi\) | |||||||
\(74\) | −3.79776 | − | 4.64620i | −0.441481 | − | 0.540110i | ||||
\(75\) | −4.99550 | + | 0.211997i | −0.576831 | + | 0.0244793i | ||||
\(76\) | 5.59592 | + | 1.13602i | 0.641896 | + | 0.130310i | ||||
\(77\) | −0.880045 | + | 1.72719i | −0.100290 | + | 0.196831i | ||||
\(78\) | 6.36129 | − | 3.71161i | 0.720274 | − | 0.420257i | ||||
\(79\) | −7.17475 | + | 5.21276i | −0.807222 | + | 0.586481i | −0.913024 | − | 0.407906i | \(-0.866259\pi\) |
0.105802 | + | 0.994387i | \(0.466259\pi\) | |||||||
\(80\) | 5.16037 | − | 7.30552i | 0.576947 | − | 0.816782i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 4.36692 | + | 0.438785i | 0.482246 | + | 0.0484557i | ||||
\(83\) | 1.07499 | + | 6.78724i | 0.117996 | + | 0.744997i | 0.973751 | + | 0.227616i | \(0.0730930\pi\) |
−0.855755 | + | 0.517381i | \(0.826907\pi\) | |||||||
\(84\) | 5.15288 | − | 9.11676i | 0.562226 | − | 0.994721i | ||||
\(85\) | −0.564100 | − | 2.14793i | −0.0611853 | − | 0.232976i | ||||
\(86\) | −0.327653 | + | 0.509633i | −0.0353318 | + | 0.0549552i | ||||
\(87\) | −0.741250 | − | 1.45479i | −0.0794704 | − | 0.155969i | ||||
\(88\) | 0.855503 | + | 0.603789i | 0.0911970 | + | 0.0643642i | ||||
\(89\) | −12.1162 | + | 3.93680i | −1.28432 | + | 0.417300i | −0.870099 | − | 0.492877i | \(-0.835945\pi\) |
−0.414219 | + | 0.910177i | \(0.635945\pi\) | |||||||
\(90\) | −0.00125607 | + | 3.16228i | −0.000132401 | + | 0.333333i | ||||
\(91\) | 25.9339 | + | 8.42645i | 2.71862 | + | 0.883332i | ||||
\(92\) | 0.610899 | − | 14.1302i | 0.0636907 | − | 1.47318i | ||||
\(93\) | −4.71221 | + | 4.71221i | −0.488634 | + | 0.488634i | ||||
\(94\) | −7.38249 | + | 0.420788i | −0.761446 | + | 0.0434010i | ||||
\(95\) | −5.51280 | − | 3.21948i | −0.565601 | − | 0.330312i | ||||
\(96\) | −4.47651 | − | 3.45845i | −0.456882 | − | 0.352977i | ||||
\(97\) | 10.9115 | + | 1.72821i | 1.10789 | + | 0.175473i | 0.683461 | − | 0.729987i | \(-0.260474\pi\) |
0.424431 | + | 0.905460i | \(0.360474\pi\) | |||||||
\(98\) | 28.2151 | − | 6.13241i | 2.85016 | − | 0.619467i | ||||
\(99\) | −0.370211 | −0.0372076 | ||||||||
\(100\) | −8.09484 | + | 5.87142i | −0.809484 | + | 0.587142i | ||||
\(101\) | −2.66285 | −0.264964 | −0.132482 | − | 0.991185i | \(-0.542295\pi\) | ||||
−0.132482 | + | 0.991185i | \(0.542295\pi\) | |||||||
\(102\) | −1.37249 | + | 0.298304i | −0.135897 | + | 0.0295365i | ||||
\(103\) | −3.88658 | − | 0.615574i | −0.382956 | − | 0.0606543i | −0.0380114 | − | 0.999277i | \(-0.512102\pi\) |
−0.344945 | + | 0.938623i | \(0.612102\pi\) | |||||||
\(104\) | 6.50638 | − | 13.2150i | 0.638003 | − | 1.29583i | ||||
\(105\) | −8.73983 | + | 7.79101i | −0.852920 | + | 0.760325i | ||||
\(106\) | −6.18628 | + | 0.352607i | −0.600865 | + | 0.0342482i | ||||
\(107\) | −0.239138 | + | 0.239138i | −0.0231184 | + | 0.0231184i | −0.718571 | − | 0.695453i | \(-0.755204\pi\) |
0.695453 | + | 0.718571i | \(0.255204\pi\) | |||||||
\(108\) | 1.99813 | + | 0.0863862i | 0.192270 | + | 0.00831252i | ||||
\(109\) | 11.4281 | + | 3.71322i | 1.09462 | + | 0.355662i | 0.800028 | − | 0.599962i | \(-0.204818\pi\) |
0.294588 | + | 0.955624i | \(0.404818\pi\) | |||||||
\(110\) | −0.687749 | − | 0.947397i | −0.0655743 | − | 0.0903307i | ||||
\(111\) | 4.03556 | − | 1.31123i | 0.383038 | − | 0.124457i | ||||
\(112\) | −1.47884 | − | 20.8922i | −0.139737 | − | 1.97413i | ||||
\(113\) | −6.18517 | − | 12.1391i | −0.581851 | − | 1.14195i | −0.974944 | − | 0.222449i | \(-0.928595\pi\) |
0.393093 | − | 0.919499i | \(-0.371405\pi\) | |||||||
\(114\) | −2.18353 | + | 3.39627i | −0.204506 | + | 0.318089i | ||||
\(115\) | −5.74018 | + | 14.7342i | −0.535274 | + | 1.37397i | ||||
\(116\) | −2.84282 | − | 1.60679i | −0.263949 | − | 0.149187i | ||||
\(117\) | 0.814677 | + | 5.14367i | 0.0753169 | + | 0.475532i | ||||
\(118\) | −6.03430 | − | 0.606321i | −0.555502 | − | 0.0558164i | ||||
\(119\) | −4.20712 | − | 3.05665i | −0.385666 | − | 0.280203i | ||||
\(120\) | 3.49091 | + | 5.27385i | 0.318675 | + | 0.481435i | ||||
\(121\) | −8.78831 | + | 6.38508i | −0.798937 | + | 0.580462i | ||||
\(122\) | 10.5383 | − | 6.14875i | 0.954091 | − | 0.556682i | ||||
\(123\) | −1.40893 | + | 2.76518i | −0.127039 | + | 0.249328i | ||||
\(124\) | −2.65163 | + | 13.0617i | −0.238124 | + | 1.17298i | ||||
\(125\) | 10.6835 | − | 3.29587i | 0.955562 | − | 0.294792i | ||||
\(126\) | 4.68640 | + | 5.73337i | 0.417497 | + | 0.510769i | ||||
\(127\) | 11.7063 | + | 5.96467i | 1.03877 | + | 0.529279i | 0.888266 | − | 0.459330i | \(-0.151911\pi\) |
0.150503 | + | 0.988610i | \(0.451911\pi\) | |||||||
\(128\) | −11.2838 | − | 0.821591i | −0.997360 | − | 0.0726191i | ||||
\(129\) | −0.251817 | − | 0.346597i | −0.0221713 | − | 0.0305161i | ||||
\(130\) | −11.6496 | + | 11.6403i | −1.02174 | + | 1.02092i | ||||
\(131\) | −9.63540 | + | 13.2620i | −0.841849 | + | 1.15871i | 0.143751 | + | 0.989614i | \(0.454083\pi\) |
−0.985600 | + | 0.169092i | \(0.945917\pi\) | |||||||
\(132\) | −0.617252 | + | 0.408929i | −0.0537249 | + | 0.0355927i | ||||
\(133\) | −14.7652 | + | 2.33858i | −1.28031 | + | 0.202781i | ||||
\(134\) | −2.14488 | − | 5.51208i | −0.185290 | − | 0.476171i | ||||
\(135\) | −2.08354 | − | 0.811708i | −0.179322 | − | 0.0698607i | ||||
\(136\) | −1.95886 | + | 2.01340i | −0.167971 | + | 0.172647i | ||||
\(137\) | −9.20904 | + | 4.69224i | −0.786782 | + | 0.400885i | −0.800736 | − | 0.599017i | \(-0.795558\pi\) |
0.0139543 | + | 0.999903i | \(0.495558\pi\) | |||||||
\(138\) | 9.15482 | + | 4.02589i | 0.779310 | + | 0.342706i | ||||
\(139\) | 0.0731045 | + | 0.224993i | 0.00620065 | + | 0.0190836i | 0.954109 | − | 0.299460i | \(-0.0968064\pi\) |
−0.947908 | + | 0.318543i | \(0.896806\pi\) | |||||||
\(140\) | −5.96608 | + | 22.6438i | −0.504226 | + | 1.91375i | ||||
\(141\) | 1.61575 | − | 4.97277i | 0.136071 | − | 0.418783i | ||||
\(142\) | 5.98945 | − | 6.71349i | 0.502623 | − | 0.563384i | ||||
\(143\) | −1.36329 | − | 1.36329i | −0.114004 | − | 0.114004i | ||||
\(144\) | 3.42691 | − | 2.06308i | 0.285576 | − | 0.171923i | ||||
\(145\) | 2.42942 | + | 2.72528i | 0.201752 | + | 0.226323i | ||||
\(146\) | 4.85447 | − | 18.4546i | 0.401759 | − | 1.52731i | ||||
\(147\) | −3.19391 | + | 20.1655i | −0.263429 | + | 1.66323i | ||||
\(148\) | 5.28012 | − | 6.64384i | 0.434023 | − | 0.546120i | ||||
\(149\) | − | 18.9045i | − | 1.54871i | −0.632748 | − | 0.774357i | \(-0.718073\pi\) | ||
0.632748 | − | 0.774357i | \(-0.281927\pi\) | |||||||
\(150\) | −1.79342 | − | 6.83986i | −0.146432 | − | 0.558472i | ||||
\(151\) | − | 7.54220i | − | 0.613775i | −0.951746 | − | 0.306888i | \(-0.900712\pi\) | ||
0.951746 | − | 0.306888i | \(-0.0992876\pi\) | |||||||
\(152\) | 0.110870 | + | 8.07449i | 0.00899272 | + | 0.654928i | ||||
\(153\) | 0.155364 | − | 0.980930i | 0.0125604 | − | 0.0793035i | ||||
\(154\) | −2.65121 | − | 0.697401i | −0.213641 | − | 0.0561982i | ||||
\(155\) | 7.51476 | − | 12.8677i | 0.603600 | − | 1.03356i | ||||
\(156\) | 7.03993 | + | 7.67616i | 0.563646 | + | 0.614585i | ||||
\(157\) | 5.54998 | + | 5.54998i | 0.442936 | + | 0.442936i | 0.892998 | − | 0.450061i | \(-0.148598\pi\) |
−0.450061 | + | 0.892998i | \(0.648598\pi\) | |||||||
\(158\) | −9.35877 | − | 8.34944i | −0.744544 | − | 0.664246i | ||||
\(159\) | 1.35395 | − | 4.16702i | 0.107375 | − | 0.330466i | ||||
\(160\) | 11.6458 | + | 4.93709i | 0.920683 | + | 0.390311i | ||||
\(161\) | 11.4424 | + | 35.2161i | 0.901787 | + | 2.77541i | ||||
\(162\) | −0.569294 | + | 1.29457i | −0.0447279 | + | 0.101711i | ||||
\(163\) | −8.50184 | + | 4.33190i | −0.665915 | + | 0.339301i | −0.754059 | − | 0.656807i | \(-0.771907\pi\) |
0.0881433 | + | 0.996108i | \(0.471907\pi\) | |||||||
\(164\) | 0.705268 | + | 6.16666i | 0.0550722 | + | 0.481535i | ||||
\(165\) | 0.800665 | − | 0.210275i | 0.0623317 | − | 0.0163699i | ||||
\(166\) | −9.05674 | + | 3.52420i | −0.702939 | + | 0.273531i | ||||
\(167\) | 13.2086 | − | 2.09204i | 1.02211 | − | 0.161887i | 0.377191 | − | 0.926136i | \(-0.376890\pi\) |
0.644921 | + | 0.764249i | \(0.276890\pi\) | |||||||
\(168\) | 14.1466 | + | 4.38272i | 1.09144 | + | 0.338134i | ||||
\(169\) | −8.30012 | + | 11.4241i | −0.638471 | + | 0.878780i | ||||
\(170\) | 2.79890 | − | 1.42471i | 0.214665 | − | 0.109270i | ||||
\(171\) | −1.67815 | − | 2.30977i | −0.128331 | − | 0.176632i | ||||
\(172\) | −0.802701 | − | 0.299727i | −0.0612054 | − | 0.0228540i | ||||
\(173\) | 2.31220 | + | 1.17813i | 0.175794 | + | 0.0895713i | 0.539673 | − | 0.841875i | \(-0.318548\pi\) |
−0.363879 | + | 0.931446i | \(0.618548\pi\) | |||||||
\(174\) | 1.78780 | − | 1.46133i | 0.135533 | − | 0.110783i | ||||
\(175\) | 14.4767 | − | 21.8139i | 1.09433 | − | 1.64898i | ||||
\(176\) | −0.577448 | + | 1.36362i | −0.0435268 | + | 0.102786i | ||||
\(177\) | 1.94688 | − | 3.82097i | 0.146337 | − | 0.287202i | ||||
\(178\) | −9.07969 | − | 15.5616i | −0.680551 | − | 1.16639i | ||||
\(179\) | −2.40147 | + | 1.74477i | −0.179494 | + | 0.130410i | −0.673904 | − | 0.738819i | \(-0.735384\pi\) |
0.494410 | + | 0.869229i | \(0.335384\pi\) | |||||||
\(180\) | −4.37048 | + | 0.948084i | −0.325757 | + | 0.0706660i | ||||
\(181\) | 10.4496 | + | 7.59211i | 0.776716 | + | 0.564317i | 0.903992 | − | 0.427550i | \(-0.140623\pi\) |
−0.127276 | + | 0.991867i | \(0.540623\pi\) | |||||||
\(182\) | −3.85542 | + | 38.3704i | −0.285783 | + | 2.84420i | ||||
\(183\) | 1.34962 | + | 8.52114i | 0.0997664 | + | 0.629900i | ||||
\(184\) | 19.7108 | − | 3.39992i | 1.45310 | − | 0.250645i | ||||
\(185\) | −7.98305 | + | 5.12799i | −0.586926 | + | 0.377017i | ||||
\(186\) | −7.92740 | − | 5.09668i | −0.581265 | − | 0.373707i | ||||
\(187\) | 0.166922 | + | 0.327603i | 0.0122065 | + | 0.0239567i | ||||
\(188\) | −2.79891 | − | 10.0758i | −0.204131 | − | 0.734856i | ||||
\(189\) | −4.97984 | + | 1.61805i | −0.362230 | + | 0.117696i | ||||
\(190\) | 2.79334 | − | 8.58541i | 0.202650 | − | 0.622851i | ||||
\(191\) | −15.1573 | − | 4.92491i | −1.09675 | − | 0.356354i | −0.295896 | − | 0.955220i | \(-0.595618\pi\) |
−0.800849 | + | 0.598866i | \(0.795618\pi\) | |||||||
\(192\) | 3.43484 | − | 7.22508i | 0.247888 | − | 0.521426i | ||||
\(193\) | 6.71231 | − | 6.71231i | 0.483163 | − | 0.483163i | −0.422977 | − | 0.906140i | \(-0.639015\pi\) |
0.906140 | + | 0.422977i | \(0.139015\pi\) | |||||||
\(194\) | 0.889067 | + | 15.5982i | 0.0638313 | + | 1.11988i | ||||
\(195\) | −4.68346 | − | 10.6616i | −0.335390 | − | 0.763495i | ||||
\(196\) | 16.9494 | + | 37.1500i | 1.21067 | + | 2.65357i | ||||
\(197\) | −20.1134 | − | 3.18565i | −1.43302 | − | 0.226968i | −0.608840 | − | 0.793293i | \(-0.708365\pi\) |
−0.824182 | + | 0.566325i | \(0.808365\pi\) | |||||||
\(198\) | −0.111196 | − | 0.511612i | −0.00790237 | − | 0.0363587i | ||||
\(199\) | −4.63909 | −0.328856 | −0.164428 | − | 0.986389i | \(-0.552578\pi\) | ||||
−0.164428 | + | 0.986389i | \(0.552578\pi\) | |||||||
\(200\) | −10.5454 | − | 9.42312i | −0.745670 | − | 0.666315i | ||||
\(201\) | 4.18231 | 0.294998 | ||||||||
\(202\) | −0.799813 | − | 3.67993i | −0.0562747 | − | 0.258919i | ||||
\(203\) | 8.44398 | + | 1.33739i | 0.592651 | + | 0.0938667i | ||||
\(204\) | −0.824482 | − | 1.80712i | −0.0577253 | − | 0.126524i | ||||
\(205\) | 1.47654 | − | 6.78058i | 0.103126 | − | 0.473576i | ||||
\(206\) | −0.316679 | − | 5.55595i | −0.0220641 | − | 0.387101i | ||||
\(207\) | −5.00046 | + | 5.00046i | −0.347556 | + | 0.347556i | ||||
\(208\) | 20.2167 | + | 5.02226i | 1.40177 | + | 0.348231i | ||||
\(209\) | 1.00523 | + | 0.326620i | 0.0695333 | + | 0.0225928i | ||||
\(210\) | −13.3919 | − | 9.73790i | −0.924127 | − | 0.671979i | ||||
\(211\) | 0.267929 | − | 0.0870554i | 0.0184450 | − | 0.00599314i | −0.299780 | − | 0.954008i | \(-0.596913\pi\) |
0.318225 | + | 0.948015i | \(0.396913\pi\) | |||||||
\(212\) | −2.34539 | − | 8.44322i | −0.161082 | − | 0.579883i | ||||
\(213\) | 2.88819 | + | 5.66838i | 0.197895 | + | 0.388391i | ||||
\(214\) | −0.402304 | − | 0.258650i | −0.0275010 | − | 0.0176809i | ||||
\(215\) | 0.741475 | + | 0.606566i | 0.0505682 | + | 0.0413674i | ||||
\(216\) | 0.480777 | + | 2.78727i | 0.0327127 | + | 0.189649i | ||||
\(217\) | −5.45860 | − | 34.4643i | −0.370554 | − | 2.33959i | ||||
\(218\) | −1.69894 | + | 16.9084i | −0.115067 | + | 1.14518i | ||||
\(219\) | 10.9163 | + | 7.93115i | 0.737654 | + | 0.535937i | ||||
\(220\) | 1.10268 | − | 1.23499i | 0.0743428 | − | 0.0832633i | ||||
\(221\) | 4.18436 | − | 3.04011i | 0.281470 | − | 0.204500i | ||||
\(222\) | 3.02418 | + | 5.18310i | 0.202969 | + | 0.347867i | ||||
\(223\) | −3.69002 | + | 7.24207i | −0.247102 | + | 0.484965i | −0.980928 | − | 0.194373i | \(-0.937733\pi\) |
0.733826 | + | 0.679338i | \(0.237733\pi\) | |||||||
\(224\) | 28.4278 | − | 8.31885i | 1.89941 | − | 0.555826i | ||||
\(225\) | 4.96716 | + | 0.572082i | 0.331144 | + | 0.0381388i | ||||
\(226\) | 14.9178 | − | 12.1937i | 0.992318 | − | 0.811111i | ||||
\(227\) | 21.3646 | + | 10.8858i | 1.41802 | + | 0.722517i | 0.983964 | − | 0.178369i | \(-0.0570822\pi\) |
0.434055 | + | 0.900886i | \(0.357082\pi\) | |||||||
\(228\) | −5.34931 | − | 1.99742i | −0.354267 | − | 0.132283i | ||||
\(229\) | −0.207489 | − | 0.285584i | −0.0137113 | − | 0.0188719i | 0.802106 | − | 0.597181i | \(-0.203713\pi\) |
−0.815818 | + | 0.578309i | \(0.803713\pi\) | |||||||
\(230\) | −22.0860 | − | 3.50708i | −1.45631 | − | 0.231250i | ||||
\(231\) | 1.13940 | − | 1.56825i | 0.0749671 | − | 0.103183i | ||||
\(232\) | 1.36663 | − | 4.41125i | 0.0897240 | − | 0.289613i | ||||
\(233\) | 22.1577 | − | 3.50943i | 1.45160 | − | 0.229911i | 0.619700 | − | 0.784839i | \(-0.287254\pi\) |
0.831898 | + | 0.554928i | \(0.187254\pi\) | |||||||
\(234\) | −6.86359 | + | 2.67079i | −0.448687 | + | 0.174595i | ||||
\(235\) | −0.669961 | + | 11.6725i | −0.0437034 | + | 0.761428i | ||||
\(236\) | −0.974552 | − | 8.52121i | −0.0634379 | − | 0.554683i | ||||
\(237\) | 7.90187 | − | 4.02620i | 0.513282 | − | 0.261530i | ||||
\(238\) | 2.96049 | − | 6.73212i | 0.191900 | − | 0.436378i | ||||
\(239\) | −8.84046 | − | 27.2081i | −0.571842 | − | 1.75995i | −0.646689 | − | 0.762754i | \(-0.723847\pi\) |
0.0748471 | − | 0.997195i | \(-0.476153\pi\) | |||||||
\(240\) | −6.23967 | + | 6.40831i | −0.402769 | + | 0.413655i | ||||
\(241\) | 0.347825 | − | 1.07050i | 0.0224054 | − | 0.0689567i | −0.939229 | − | 0.343292i | \(-0.888458\pi\) |
0.961634 | + | 0.274335i | \(0.0884579\pi\) | |||||||
\(242\) | −11.4635 | − | 10.2272i | −0.736902 | − | 0.657428i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 11.6625 | + | 12.7165i | 0.746617 | + | 0.814092i | ||||
\(245\) | −4.54621 | − | 45.4267i | −0.290447 | − | 2.90220i | ||||
\(246\) | −4.24452 | − | 1.11652i | −0.270621 | − | 0.0711867i | ||||
\(247\) | 2.32593 | − | 14.6853i | 0.147995 | − | 0.934405i | ||||
\(248\) | −18.8471 | + | 0.258787i | −1.19679 | + | 0.0164330i | ||||
\(249\) | − | 6.87185i | − | 0.435486i | ||||||
\(250\) | 7.76362 | + | 13.7741i | 0.491014 | + | 0.871151i | ||||
\(251\) | 2.00079i | 0.126289i | 0.998004 | + | 0.0631445i | \(0.0201129\pi\) | ||||
−0.998004 | + | 0.0631445i | \(0.979887\pi\) | |||||||
\(252\) | −6.51562 | + | 8.19843i | −0.410445 | + | 0.516453i | ||||
\(253\) | 0.409550 | − | 2.58580i | 0.0257482 | − | 0.162568i | ||||
\(254\) | −4.72677 | + | 17.9691i | −0.296584 | + | 1.12748i | ||||
\(255\) | 0.221145 | + | 2.20973i | 0.0138487 | + | 0.138379i | ||||
\(256\) | −2.25381 | − | 15.8405i | −0.140863 | − | 0.990029i | ||||
\(257\) | 6.57806 | + | 6.57806i | 0.410328 | + | 0.410328i | 0.881853 | − | 0.471525i | \(-0.156296\pi\) |
−0.471525 | + | 0.881853i | \(0.656296\pi\) | |||||||
\(258\) | 0.403344 | − | 0.452102i | 0.0251111 | − | 0.0281467i | ||||
\(259\) | −6.86577 | + | 21.1307i | −0.426618 | + | 1.31300i | ||||
\(260\) | −19.5854 | − | 12.6029i | −1.21464 | − | 0.781596i | ||||
\(261\) | 0.504546 | + | 1.55283i | 0.0312306 | + | 0.0961179i | ||||
\(262\) | −21.2215 | − | 9.33227i | −1.31107 | − | 0.576550i | ||||
\(263\) | 3.97089 | − | 2.02327i | 0.244856 | − | 0.124760i | −0.327257 | − | 0.944936i | \(-0.606124\pi\) |
0.572112 | + | 0.820175i | \(0.306124\pi\) | |||||||
\(264\) | −0.750517 | − | 0.730186i | −0.0461911 | − | 0.0449398i | ||||
\(265\) | −0.561405 | + | 9.78115i | −0.0344869 | + | 0.600851i | ||||
\(266\) | −7.66668 | − | 19.7024i | −0.470074 | − | 1.20803i | ||||
\(267\) | 12.5829 | − | 1.99294i | 0.770062 | − | 0.121966i | ||||
\(268\) | 6.97318 | − | 4.61972i | 0.425955 | − | 0.282195i | ||||
\(269\) | −15.7496 | + | 21.6775i | −0.960272 | + | 1.32170i | −0.0134615 | + | 0.999909i | \(0.504285\pi\) |
−0.946811 | + | 0.321792i | \(0.895715\pi\) | |||||||
\(270\) | 0.495930 | − | 3.12315i | 0.0301813 | − | 0.190069i | ||||
\(271\) | −5.19079 | − | 7.14452i | −0.315318 | − | 0.433998i | 0.621712 | − | 0.783246i | \(-0.286437\pi\) |
−0.937031 | + | 0.349247i | \(0.886437\pi\) | |||||||
\(272\) | −3.37078 | − | 2.10230i | −0.204383 | − | 0.127470i | ||||
\(273\) | −24.2965 | − | 12.3797i | −1.47049 | − | 0.749251i | ||||
\(274\) | −9.25047 | − | 11.3171i | −0.558841 | − | 0.683690i | ||||
\(275\) | −1.61219 | + | 0.909534i | −0.0972185 | + | 0.0548470i | ||||
\(276\) | −2.81384 | + | 13.8607i | −0.169373 | + | 0.834317i | ||||
\(277\) | −13.1831 | + | 25.8732i | −0.792093 | + | 1.55457i | 0.0395222 | + | 0.999219i | \(0.487416\pi\) |
−0.831615 | + | 0.555352i | \(0.812584\pi\) | |||||||
\(278\) | −0.288971 | + | 0.168605i | −0.0173313 | + | 0.0101123i | ||||
\(279\) | 5.39135 | − | 3.91704i | 0.322772 | − | 0.234507i | ||||
\(280\) | −33.0846 | − | 1.44353i | −1.97718 | − | 0.0862673i | ||||
\(281\) | 3.57706 | + | 2.59889i | 0.213389 | + | 0.155036i | 0.689346 | − | 0.724432i | \(-0.257898\pi\) |
−0.475956 | + | 0.879469i | \(0.657898\pi\) | |||||||
\(282\) | 7.35742 | + | 0.739268i | 0.438128 | + | 0.0440228i | ||||
\(283\) | −0.148343 | − | 0.936598i | −0.00881805 | − | 0.0556750i | 0.982887 | − | 0.184210i | \(-0.0589726\pi\) |
−0.991705 | + | 0.128535i | \(0.958973\pi\) | |||||||
\(284\) | 11.0767 | + | 6.26065i | 0.657281 | + | 0.371501i | ||||
\(285\) | 4.94129 | + | 4.04224i | 0.292697 | + | 0.239441i | ||||
\(286\) | 1.47452 | − | 2.29347i | 0.0871900 | − | 0.135616i | ||||
\(287\) | −7.37731 | − | 14.4788i | −0.435469 | − | 0.854655i | ||||
\(288\) | 3.88037 | + | 4.11615i | 0.228653 | + | 0.242547i | ||||
\(289\) | 15.2299 | − | 4.94849i | 0.895875 | − | 0.291087i | ||||
\(290\) | −3.03651 | + | 4.17590i | −0.178310 | + | 0.245217i | ||||
\(291\) | −10.5068 | − | 3.41386i | −0.615918 | − | 0.200124i | ||||
\(292\) | 26.9614 | + | 1.16563i | 1.57779 | + | 0.0682135i | ||||
\(293\) | 13.0996 | − | 13.0996i | 0.765289 | − | 0.765289i | −0.211984 | − | 0.977273i | \(-0.567992\pi\) |
0.977273 | + | 0.211984i | \(0.0679924\pi\) | |||||||
\(294\) | −28.8271 | + | 1.64309i | −1.68123 | + | 0.0958269i | ||||
\(295\) | −2.04031 | + | 9.36953i | −0.118792 | + | 0.545515i | ||||
\(296\) | 10.7674 | + | 5.30132i | 0.625842 | + | 0.308133i | ||||
\(297\) | 0.365653 | + | 0.0579137i | 0.0212173 | + | 0.00336049i | ||||
\(298\) | 26.1250 | − | 5.67814i | 1.51338 | − | 0.328926i | ||||
\(299\) | −36.8280 | −2.12982 | ||||||||
\(300\) | 8.91367 | − | 4.53283i | 0.514631 | − | 0.261703i | ||||
\(301\) | 2.24324 | 0.129298 | ||||||||
\(302\) | 10.4229 | − | 2.26537i | 0.599773 | − | 0.130357i | ||||
\(303\) | 2.63007 | + | 0.416562i | 0.151094 | + | 0.0239309i | ||||
\(304\) | −11.1252 | + | 2.57846i | −0.638076 | + | 0.147885i | ||||
\(305\) | −7.75874 | − | 17.6623i | −0.444264 | − | 1.01134i | ||||
\(306\) | 1.40226 | − | 0.0799262i | 0.0801619 | − | 0.00456908i | ||||
\(307\) | −13.1612 | + | 13.1612i | −0.751147 | + | 0.751147i | −0.974693 | − | 0.223546i | \(-0.928237\pi\) |
0.223546 | + | 0.974693i | \(0.428237\pi\) | |||||||
\(308\) | 0.167457 | − | 3.87331i | 0.00954173 | − | 0.220703i | ||||
\(309\) | 3.74243 | + | 1.21599i | 0.212900 | + | 0.0691752i | ||||
\(310\) | 20.0396 | + | 6.52008i | 1.13818 | + | 0.370316i | ||||
\(311\) | 19.9297 | − | 6.47555i | 1.13011 | − | 0.367195i | 0.316492 | − | 0.948595i | \(-0.397495\pi\) |
0.813618 | + | 0.581400i | \(0.197495\pi\) | |||||||
\(312\) | −8.49355 | + | 12.0344i | −0.480853 | + | 0.681316i | ||||
\(313\) | 6.80071 | + | 13.3471i | 0.384399 | + | 0.754425i | 0.999419 | − | 0.0340866i | \(-0.0108522\pi\) |
−0.615020 | + | 0.788511i | \(0.710852\pi\) | |||||||
\(314\) | −6.00280 | + | 9.33678i | −0.338758 | + | 0.526905i | ||||
\(315\) | 9.85101 | − | 6.32788i | 0.555042 | − | 0.356536i | ||||
\(316\) | 8.72751 | − | 15.4412i | 0.490961 | − | 0.868634i | ||||
\(317\) | 0.104878 | + | 0.662172i | 0.00589052 | + | 0.0371913i | 0.990459 | − | 0.137811i | \(-0.0440067\pi\) |
−0.984568 | + | 0.175002i | \(0.944007\pi\) | |||||||
\(318\) | 6.16528 | + | 0.619482i | 0.345732 | + | 0.0347388i | ||||
\(319\) | −0.489018 | − | 0.355292i | −0.0273797 | − | 0.0198925i | ||||
\(320\) | −3.32488 | + | 17.5768i | −0.185866 | + | 0.982575i | ||||
\(321\) | 0.273604 | − | 0.198785i | 0.0152711 | − | 0.0110951i | ||||
\(322\) | −45.2300 | + | 26.3903i | −2.52057 | + | 1.47067i | ||||
\(323\) | −1.28729 | + | 2.52644i | −0.0716266 | + | 0.140575i | ||||
\(324\) | −1.96002 | − | 0.397900i | −0.108890 | − | 0.0221055i | ||||
\(325\) | 16.1847 | + | 20.3980i | 0.897766 | + | 1.13148i | ||||
\(326\) | −8.54008 | − | 10.4480i | −0.472991 | − | 0.578660i | ||||
\(327\) | −10.7066 | − | 5.45526i | −0.592074 | − | 0.301677i | ||||
\(328\) | −8.31018 | + | 2.82686i | −0.458853 | + | 0.156087i | ||||
\(329\) | 16.0924 | + | 22.1492i | 0.887201 | + | 1.22113i | ||||
\(330\) | 0.531076 | + | 1.04332i | 0.0292348 | + | 0.0574329i | ||||
\(331\) | 17.4371 | − | 24.0002i | 0.958432 | − | 1.31917i | 0.0107532 | − | 0.999942i | \(-0.496577\pi\) |
0.947679 | − | 0.319226i | \(-0.103423\pi\) | |||||||
\(332\) | −7.59054 | − | 11.4574i | −0.416585 | − | 0.628808i | ||||
\(333\) | −4.19100 | + | 0.663789i | −0.229665 | + | 0.0363754i | ||||
\(334\) | 6.85842 | + | 17.6253i | 0.375276 | + | 0.964411i | ||||
\(335\) | −9.04521 | + | 2.37550i | −0.494193 | + | 0.129787i | ||||
\(336\) | −1.80762 | + | 20.8663i | −0.0986140 | + | 1.13835i | ||||
\(337\) | −15.3221 | + | 7.80699i | −0.834647 | + | 0.425274i | −0.818438 | − | 0.574595i | \(-0.805160\pi\) |
−0.0162086 | + | 0.999869i | \(0.505160\pi\) | |||||||
\(338\) | −18.2806 | − | 8.03900i | −0.994333 | − | 0.437264i | ||||
\(339\) | 4.21005 | + | 12.9572i | 0.228658 | + | 0.703738i | ||||
\(340\) | 2.80955 | + | 3.44001i | 0.152369 | + | 0.186561i | ||||
\(341\) | −0.762379 | + | 2.34636i | −0.0412852 | + | 0.127063i | ||||
\(342\) | 2.68794 | − | 3.01287i | 0.145347 | − | 0.162918i | ||||
\(343\) | −49.6760 | − | 49.6760i | −2.68225 | − | 2.68225i | ||||
\(344\) | 0.173109 | − | 1.19932i | 0.00933342 | − | 0.0646629i | ||||
\(345\) | 7.97444 | − | 13.6548i | 0.429330 | − | 0.735152i | ||||
\(346\) | −0.933619 | + | 3.54921i | −0.0501917 | + | 0.190807i | ||||
\(347\) | 2.33324 | − | 14.7315i | 0.125255 | − | 0.790830i | −0.842456 | − | 0.538766i | \(-0.818891\pi\) |
0.967711 | − | 0.252064i | \(-0.0811093\pi\) | |||||||
\(348\) | 2.55646 | + | 2.03172i | 0.137041 | + | 0.108912i | ||||
\(349\) | 8.09332i | 0.433226i | 0.976258 | + | 0.216613i | \(0.0695009\pi\) | ||||
−0.976258 | + | 0.216613i | \(0.930499\pi\) | |||||||
\(350\) | 34.4940 | + | 13.4540i | 1.84378 | + | 0.719147i | ||||
\(351\) | − | 5.20778i | − | 0.277971i | ||||||
\(352\) | −2.05789 | − | 0.388429i | −0.109686 | − | 0.0207033i | ||||
\(353\) | 1.12096 | − | 7.07744i | 0.0596625 | − | 0.376694i | −0.939732 | − | 0.341911i | \(-0.888926\pi\) |
0.999395 | − | 0.0347832i | \(-0.0110741\pi\) | |||||||
\(354\) | 5.86516 | + | 1.54283i | 0.311729 | + | 0.0820004i | ||||
\(355\) | −9.46593 | − | 10.6187i | −0.502399 | − | 0.563583i | ||||
\(356\) | 18.7781 | − | 17.2217i | 0.995239 | − | 0.912750i | ||||
\(357\) | 3.67716 | + | 3.67716i | 0.194616 | + | 0.194616i | ||||
\(358\) | −3.13248 | − | 2.79465i | −0.165557 | − | 0.147702i | ||||
\(359\) | 6.08656 | − | 18.7325i | 0.321237 | − | 0.988665i | −0.651874 | − | 0.758327i | \(-0.726017\pi\) |
0.973111 | − | 0.230337i | \(-0.0739830\pi\) | |||||||
\(360\) | −2.62292 | − | 5.75502i | −0.138240 | − | 0.303316i | ||||
\(361\) | −3.35246 | − | 10.3178i | −0.176445 | − | 0.543043i | ||||
\(362\) | −7.35326 | + | 16.7212i | −0.386479 | + | 0.878849i | ||||
\(363\) | 9.67895 | − | 4.93167i | 0.508013 | − | 0.258846i | ||||
\(364\) | −54.1839 | + | 6.19690i | −2.84001 | + | 0.324806i | ||||
\(365\) | −28.1138 | − | 10.9526i | −1.47154 | − | 0.573286i | ||||
\(366\) | −11.3704 | + | 4.42450i | −0.594341 | + | 0.231272i | ||||
\(367\) | 1.14434 | − | 0.181246i | 0.0597341 | − | 0.00946095i | −0.126496 | − | 0.991967i | \(-0.540373\pi\) |
0.186230 | + | 0.982506i | \(0.440373\pi\) | |||||||
\(368\) | 10.6188 | + | 26.2181i | 0.553545 | + | 1.36671i | ||||
\(369\) | 1.82415 | − | 2.51073i | 0.0949615 | − | 0.130703i | ||||
\(370\) | −9.48440 | − | 9.49194i | −0.493071 | − | 0.493462i | ||||
\(371\) | 13.4849 | + | 18.5603i | 0.700100 | + | 0.963605i | ||||
\(372\) | 4.66229 | − | 12.4861i | 0.241728 | − | 0.647374i | ||||
\(373\) | −5.06396 | − | 2.58022i | −0.262202 | − | 0.133599i | 0.317948 | − | 0.948108i | \(-0.397006\pi\) |
−0.580150 | + | 0.814509i | \(0.697006\pi\) | |||||||
\(374\) | −0.402594 | + | 0.329076i | −0.0208176 | + | 0.0170161i | ||||
\(375\) | −11.0676 | + | 1.58403i | −0.571526 | + | 0.0817988i | ||||
\(376\) | 13.0836 | − | 6.89432i | 0.674736 | − | 0.355547i | ||||
\(377\) | −3.86027 | + | 7.57621i | −0.198814 | + | 0.390195i | ||||
\(378\) | −3.73180 | − | 6.39589i | −0.191943 | − | 0.328969i | ||||
\(379\) | 21.0848 | − | 15.3190i | 1.08305 | − | 0.786883i | 0.104840 | − | 0.994489i | \(-0.466567\pi\) |
0.978213 | + | 0.207606i | \(0.0665671\pi\) | |||||||
\(380\) | 12.7036 | + | 1.28155i | 0.651682 | + | 0.0657419i | ||||
\(381\) | −10.6291 | − | 7.72251i | −0.544547 | − | 0.395636i | ||||
\(382\) | 2.25334 | − | 22.4259i | 0.115291 | − | 1.14741i | ||||
\(383\) | 2.36387 | + | 14.9249i | 0.120788 | + | 0.762627i | 0.971508 | + | 0.237007i | \(0.0761665\pi\) |
−0.850720 | + | 0.525620i | \(0.823834\pi\) | |||||||
\(384\) | 11.0164 | + | 2.57666i | 0.562178 | + | 0.131489i | ||||
\(385\) | −1.57347 | + | 4.03887i | −0.0801914 | + | 0.205840i | ||||
\(386\) | 11.2922 | + | 7.25997i | 0.574757 | + | 0.369523i | ||||
\(387\) | 0.194497 | + | 0.381723i | 0.00988686 | + | 0.0194040i | ||||
\(388\) | −21.2889 | + | 5.91371i | −1.08078 | + | 0.300223i | ||||
\(389\) | 14.4497 | − | 4.69499i | 0.732628 | − | 0.238045i | 0.0811383 | − | 0.996703i | \(-0.474144\pi\) |
0.651489 | + | 0.758658i | \(0.274144\pi\) | |||||||
\(390\) | 13.3271 | − | 9.67462i | 0.674844 | − | 0.489894i | ||||
\(391\) | 6.67959 | + | 2.17033i | 0.337801 | + | 0.109758i | ||||
\(392\) | −46.2485 | + | 34.5815i | −2.33590 | + | 1.74663i | ||||
\(393\) | 11.5914 | − | 11.5914i | 0.584709 | − | 0.584709i | ||||
\(394\) | −1.63884 | − | 28.7526i | −0.0825638 | − | 1.44853i | ||||
\(395\) | −14.8028 | + | 13.1957i | −0.744808 | + | 0.663950i | ||||
\(396\) | 0.673624 | − | 0.307335i | 0.0338509 | − | 0.0154442i | ||||
\(397\) | −7.85952 | − | 1.24483i | −0.394458 | − | 0.0624760i | −0.0439452 | − | 0.999034i | \(-0.513993\pi\) |
−0.350513 | + | 0.936558i | \(0.613993\pi\) | |||||||
\(398\) | −1.39339 | − | 6.41098i | −0.0698445 | − | 0.321354i | ||||
\(399\) | 14.9493 | 0.748400 | ||||||||
\(400\) | 9.85487 | − | 17.4035i | 0.492744 | − | 0.870175i | ||||
\(401\) | 17.5609 | 0.876951 | 0.438476 | − | 0.898743i | \(-0.355519\pi\) | ||||
0.438476 | + | 0.898743i | \(0.355519\pi\) | |||||||
\(402\) | 1.25620 | + | 5.77975i | 0.0626534 | + | 0.288268i | ||||
\(403\) | 34.2778 | + | 5.42907i | 1.70750 | + | 0.270441i | ||||
\(404\) | 4.84525 | − | 2.21060i | 0.241060 | − | 0.109982i | ||||
\(405\) | 1.93091 | + | 1.12765i | 0.0959475 | + | 0.0560335i | ||||
\(406\) | 0.688016 | + | 12.0709i | 0.0341457 | + | 0.599066i | ||||
\(407\) | 1.11079 | − | 1.11079i | 0.0550598 | − | 0.0550598i | ||||
\(408\) | 2.24970 | − | 1.68218i | 0.111377 | − | 0.0832802i | ||||
\(409\) | 19.3261 | + | 6.27944i | 0.955615 | + | 0.310498i | 0.744995 | − | 0.667070i | \(-0.232452\pi\) |
0.210620 | + | 0.977568i | \(0.432452\pi\) | |||||||
\(410\) | 9.81391 | + | 0.00389813i | 0.484674 | + | 0.000192515i | ||||
\(411\) | 9.82969 | − | 3.19386i | 0.484863 | − | 0.157542i | ||||
\(412\) | 7.58292 | − | 2.10642i | 0.373584 | − | 0.103776i | ||||
\(413\) | 10.1941 | + | 20.0071i | 0.501619 | + | 0.984483i | ||||
\(414\) | −8.41232 | − | 5.40845i | −0.413443 | − | 0.265811i | ||||
\(415\) | 3.90312 | + | 14.8619i | 0.191597 | + | 0.729543i | ||||
\(416\) | −0.868244 | + | 29.4469i | −0.0425691 | + | 1.44375i | ||||
\(417\) | −0.0370079 | − | 0.233659i | −0.00181228 | − | 0.0114423i | ||||
\(418\) | −0.149441 | + | 1.48728i | −0.00730940 | + | 0.0727454i | ||||
\(419\) | 28.1350 | + | 20.4413i | 1.37449 | + | 0.998623i | 0.997372 | + | 0.0724564i | \(0.0230838\pi\) |
0.377115 | + | 0.926166i | \(0.376916\pi\) | |||||||
\(420\) | 9.43491 | − | 21.4318i | 0.460376 | − | 1.04576i | ||||
\(421\) | 18.7080 | − | 13.5921i | 0.911770 | − | 0.662440i | −0.0296918 | − | 0.999559i | \(-0.509453\pi\) |
0.941462 | + | 0.337119i | \(0.109453\pi\) | |||||||
\(422\) | 0.200781 | + | 0.344116i | 0.00977387 | + | 0.0167513i | ||||
\(423\) | −2.37377 | + | 4.65879i | −0.115417 | + | 0.226518i | ||||
\(424\) | 10.9636 | − | 5.77721i | 0.532442 | − | 0.280566i | ||||
\(425\) | −1.73337 | − | 4.65343i | −0.0840810 | − | 0.225725i | ||||
\(426\) | −6.96593 | + | 5.69388i | −0.337500 | + | 0.275869i | ||||
\(427\) | −40.2502 | − | 20.5085i | −1.94784 | − | 0.992475i | ||||
\(428\) | 0.236605 | − | 0.633652i | 0.0114367 | − | 0.0306287i | ||||
\(429\) | 1.13324 | + | 1.55977i | 0.0547132 | + | 0.0753062i | ||||
\(430\) | −0.615534 | + | 1.20687i | −0.0296837 | + | 0.0582004i | ||||
\(431\) | −11.8267 | + | 16.2780i | −0.569670 | + | 0.784083i | −0.992516 | − | 0.122118i | \(-0.961031\pi\) |
0.422846 | + | 0.906202i | \(0.361031\pi\) | |||||||
\(432\) | −3.70746 | + | 1.50159i | −0.178375 | + | 0.0722453i | ||||
\(433\) | 5.40084 | − | 0.855409i | 0.259548 | − | 0.0411083i | −0.0253044 | − | 0.999680i | \(-0.508056\pi\) |
0.284852 | + | 0.958571i | \(0.408056\pi\) | |||||||
\(434\) | 45.9883 | − | 17.8952i | 2.20751 | − | 0.858996i | ||||
\(435\) | −1.97318 | − | 3.07178i | −0.0946069 | − | 0.147280i | ||||
\(436\) | −23.8768 | + | 2.73074i | −1.14349 | + | 0.130779i | ||||
\(437\) | 17.9894 | − | 9.16607i | 0.860551 | − | 0.438472i | ||||
\(438\) | −7.68164 | + | 17.4680i | −0.367043 | + | 0.834651i | ||||
\(439\) | 8.72231 | + | 26.8445i | 0.416293 | + | 1.28122i | 0.911089 | + | 0.412209i | \(0.135243\pi\) |
−0.494796 | + | 0.869009i | \(0.664757\pi\) | |||||||
\(440\) | 2.03790 | + | 1.15291i | 0.0971531 | + | 0.0549628i | ||||
\(441\) | 6.30917 | − | 19.4176i | 0.300437 | − | 0.924649i | ||||
\(442\) | 5.45809 | + | 4.86944i | 0.259615 | + | 0.231616i | ||||
\(443\) | 9.60281 | + | 9.60281i | 0.456243 | + | 0.456243i | 0.897420 | − | 0.441177i | \(-0.145439\pi\) |
−0.441177 | + | 0.897420i | \(0.645439\pi\) | |||||||
\(444\) | −6.25444 | + | 5.73605i | −0.296823 | + | 0.272221i | ||||
\(445\) | −26.0815 | + | 11.4571i | −1.23638 | + | 0.543119i | ||||
\(446\) | −11.1165 | − | 2.92420i | −0.526382 | − | 0.138465i | ||||
\(447\) | −2.95731 | + | 18.6717i | −0.139876 | + | 0.883142i | ||||
\(448\) | 20.0348 | + | 36.7871i | 0.946554 | + | 1.73803i | ||||
\(449\) | 6.32437i | 0.298465i | 0.988802 | + | 0.149233i | \(0.0476803\pi\) | ||||
−0.988802 | + | 0.149233i | \(0.952320\pi\) | |||||||
\(450\) | 0.701346 | + | 7.03620i | 0.0330618 | + | 0.331690i | ||||
\(451\) | 1.14892i | 0.0541007i | ||||||||
\(452\) | 21.3317 | + | 16.9532i | 1.00336 | + | 0.797410i | ||||
\(453\) | −1.17986 | + | 7.44934i | −0.0554346 | + | 0.350001i | ||||
\(454\) | −8.62658 | + | 32.7945i | −0.404866 | + | 1.53912i | ||||
\(455\) | 59.5781 | + | 12.9738i | 2.79306 | + | 0.608220i | ||||
\(456\) | 1.15362 | − | 7.99242i | 0.0540234 | − | 0.374279i | ||||
\(457\) | 23.2984 | + | 23.2984i | 1.08985 | + | 1.08985i | 0.995543 | + | 0.0943089i | \(0.0300641\pi\) |
0.0943089 | + | 0.995543i | \(0.469936\pi\) | |||||||
\(458\) | 0.332342 | − | 0.372517i | 0.0155293 | − | 0.0174066i | ||||
\(459\) | −0.306902 | + | 0.944549i | −0.0143250 | + | 0.0440878i | ||||
\(460\) | −1.78714 | − | 31.5752i | −0.0833260 | − | 1.47220i | ||||
\(461\) | −6.71640 | − | 20.6710i | −0.312814 | − | 0.962743i | −0.976645 | − | 0.214860i | \(-0.931071\pi\) |
0.663831 | − | 0.747883i | \(-0.268929\pi\) | |||||||
\(462\) | 2.50947 | + | 1.10356i | 0.116751 | + | 0.0513421i | ||||
\(463\) | −4.31937 | + | 2.20083i | −0.200738 | + | 0.102281i | −0.551470 | − | 0.834195i | \(-0.685933\pi\) |
0.350732 | + | 0.936476i | \(0.385933\pi\) | |||||||
\(464\) | 6.50661 | + | 0.563660i | 0.302062 | + | 0.0261672i | ||||
\(465\) | −9.43519 | + | 11.5337i | −0.437546 | + | 0.534863i | ||||
\(466\) | 11.5051 | + | 29.5667i | 0.532965 | + | 1.36965i | ||||
\(467\) | −32.7718 | + | 5.19055i | −1.51650 | + | 0.240190i | −0.858495 | − | 0.512823i | \(-0.828600\pi\) |
−0.658006 | + | 0.753013i | \(0.728600\pi\) | |||||||
\(468\) | −5.75244 | − | 8.68294i | −0.265907 | − | 0.401369i | ||||
\(469\) | −12.8720 | + | 17.7167i | −0.594372 | + | 0.818083i | ||||
\(470\) | −16.3320 | + | 2.58008i | −0.753339 | + | 0.119010i | ||||
\(471\) | −4.61344 | − | 6.34986i | −0.212576 | − | 0.292586i | ||||
\(472\) | 11.4832 | − | 3.90621i | 0.528555 | − | 0.179798i | ||||
\(473\) | −0.141318 | − | 0.0720050i | −0.00649780 | − | 0.00331079i | ||||
\(474\) | 7.93741 | + | 9.71068i | 0.364577 | + | 0.446026i | ||||
\(475\) | −12.9826 | − | 5.93567i | −0.595683 | − | 0.272347i | ||||
\(476\) | 10.1927 | + | 2.06919i | 0.467180 | + | 0.0948412i | ||||
\(477\) | −1.98914 | + | 3.90391i | −0.0910766 | + | 0.178748i | ||||
\(478\) | 34.9450 | − | 20.3893i | 1.59835 | − | 0.932585i | ||||
\(479\) | 24.0616 | − | 17.4817i | 1.09940 | − | 0.798761i | 0.118439 | − | 0.992961i | \(-0.462211\pi\) |
0.980962 | + | 0.194200i | \(0.0622111\pi\) | |||||||
\(480\) | −10.7301 | − | 6.69811i | −0.489760 | − | 0.305726i | ||||
\(481\) | −17.8776 | − | 12.9888i | −0.815146 | − | 0.592238i | ||||
\(482\) | 1.58384 | + | 0.159143i | 0.0721421 | + | 0.00724879i | ||||
\(483\) | −5.79251 | − | 36.5725i | −0.263568 | − | 1.66411i | ||||
\(484\) | 10.6903 | − | 18.9138i | 0.485921 | − | 0.859719i | ||||
\(485\) | 24.6623 | + | 1.41553i | 1.11986 | + | 0.0642761i | ||||
\(486\) | 0.764800 | − | 1.18957i | 0.0346920 | − | 0.0539601i | ||||
\(487\) | 17.4506 | + | 34.2488i | 0.790764 | + | 1.55196i | 0.833270 | + | 0.552866i | \(0.186466\pi\) |
−0.0425064 | + | 0.999096i | \(0.513534\pi\) | |||||||
\(488\) | −14.0706 | + | 19.9366i | −0.636948 | + | 0.902486i | ||||
\(489\) | 9.07483 | − | 2.94859i | 0.410378 | − | 0.133340i | ||||
\(490\) | 61.4118 | − | 19.9270i | 2.77430 | − | 0.900208i | ||||
\(491\) | −5.04088 | − | 1.63788i | −0.227492 | − | 0.0739166i | 0.193053 | − | 0.981188i | \(-0.438161\pi\) |
−0.420545 | + | 0.907272i | \(0.638161\pi\) | |||||||
\(492\) | 0.268094 | − | 6.20107i | 0.0120866 | − | 0.279566i | ||||
\(493\) | 1.14662 | − | 1.14662i | 0.0516413 | − | 0.0516413i | ||||
\(494\) | 20.9930 | − | 1.19656i | 0.944520 | − | 0.0538359i | ||||
\(495\) | −0.823702 | + | 0.0824344i | −0.0370226 | + | 0.00370515i | ||||
\(496\) | −6.01852 | − | 25.9680i | −0.270240 | − | 1.16600i | ||||
\(497\) | −32.9009 | − | 5.21099i | −1.47581 | − | 0.233745i | ||||
\(498\) | 9.49654 | − | 2.06402i | 0.425550 | − | 0.0924911i | ||||
\(499\) | −24.3883 | −1.09177 | −0.545884 | − | 0.837861i | \(-0.683806\pi\) | ||||
−0.545884 | + | 0.837861i | \(0.683806\pi\) | |||||||
\(500\) | −16.7033 | + | 14.8661i | −0.746992 | + | 0.664833i | ||||
\(501\) | −13.3732 | −0.597473 | ||||||||
\(502\) | −2.76500 | + | 0.600957i | −0.123408 | + | 0.0268220i | ||||
\(503\) | 23.5109 | + | 3.72375i | 1.04830 | + | 0.166034i | 0.656738 | − | 0.754119i | \(-0.271936\pi\) |
0.391559 | + | 0.920153i | \(0.371936\pi\) | |||||||
\(504\) | −13.2868 | − | 6.54178i | −0.591843 | − | 0.291394i | ||||
\(505\) | −5.92473 | + | 0.592935i | −0.263647 | + | 0.0263853i | ||||
\(506\) | 3.69645 | − | 0.210691i | 0.164327 | − | 0.00936635i | ||||
\(507\) | 9.98506 | − | 9.98506i | 0.443452 | − | 0.443452i | ||||
\(508\) | −26.2521 | − | 1.13497i | −1.16475 | − | 0.0503561i | ||||
\(509\) | −23.6141 | − | 7.67268i | −1.04668 | − | 0.340086i | −0.265313 | − | 0.964162i | \(-0.585475\pi\) |
−0.781363 | + | 0.624077i | \(0.785475\pi\) | |||||||
\(510\) | −2.98731 | + | 0.969324i | −0.132280 | + | 0.0429224i | ||||
\(511\) | −67.1944 | + | 21.8328i | −2.97250 | + | 0.965825i | ||||
\(512\) | 21.2138 | − | 7.87248i | 0.937525 | − | 0.347918i | ||||
\(513\) | 1.29616 | + | 2.54385i | 0.0572267 | + | 0.112314i | ||||
\(514\) | −7.11476 | + | 11.0663i | −0.313819 | + | 0.488115i | ||||
\(515\) | −8.78453 | − | 0.504202i | −0.387093 | − | 0.0222178i | ||||
\(516\) | 0.745931 | + | 0.421607i | 0.0328378 | + | 0.0185602i | ||||
\(517\) | −0.302812 | − | 1.91188i | −0.0133177 | − | 0.0840845i | ||||
\(518\) | −31.2637 | − | 3.14135i | −1.37365 | − | 0.138023i | ||||
\(519\) | −2.09944 | − | 1.52533i | −0.0921551 | − | 0.0669546i | ||||
\(520\) | 11.5338 | − | 30.8514i | 0.505792 | − | 1.35292i | ||||
\(521\) | −15.1720 | + | 11.0231i | −0.664697 | + | 0.482930i | −0.868246 | − | 0.496134i | \(-0.834752\pi\) |
0.203549 | + | 0.979065i | \(0.434752\pi\) | |||||||
\(522\) | −1.99439 | + | 1.16366i | −0.0872921 | + | 0.0509322i | ||||
\(523\) | 0.351650 | − | 0.690152i | 0.0153766 | − | 0.0301782i | −0.883190 | − | 0.469015i | \(-0.844609\pi\) |
0.898567 | + | 0.438836i | \(0.144609\pi\) | |||||||
\(524\) | 6.52266 | − | 32.1301i | 0.284944 | − | 1.40361i | ||||
\(525\) | −17.7109 | + | 19.2807i | −0.772967 | + | 0.841480i | ||||
\(526\) | 3.98875 | + | 4.87986i | 0.173918 | + | 0.212772i | ||||
\(527\) | −5.89710 | − | 3.00472i | −0.256882 | − | 0.130888i | ||||
\(528\) | 0.783655 | − | 1.25650i | 0.0341042 | − | 0.0546819i | ||||
\(529\) | −15.8756 | − | 21.8510i | −0.690245 | − | 0.950041i | ||||
\(530\) | −13.6857 | + | 2.16203i | −0.594468 | + | 0.0939124i | ||||
\(531\) | −2.52065 | + | 3.46937i | −0.109387 | + | 0.150558i | ||||
\(532\) | 24.9249 | − | 16.5128i | 1.08063 | − | 0.715919i | ||||
\(533\) | 15.9630 | − | 2.52829i | 0.691435 | − | 0.109512i | ||||
\(534\) | 6.53354 | + | 16.7904i | 0.282734 | + | 0.726590i | ||||
\(535\) | −0.478823 | + | 0.585320i | −0.0207013 | + | 0.0253056i | ||||
\(536\) | 8.47868 | + | 8.24900i | 0.366223 | + | 0.356302i | ||||
\(537\) | 2.64484 | − | 1.34761i | 0.114133 | − | 0.0581538i | ||||
\(538\) | −34.6878 | − | 15.2542i | −1.49550 | − | 0.657653i | ||||
\(539\) | 2.33572 | + | 7.18861i | 0.100607 | + | 0.309636i | ||||
\(540\) | 4.46499 | − | 0.252717i | 0.192143 | − | 0.0108752i | ||||
\(541\) | −3.92130 | + | 12.0685i | −0.168590 | + | 0.518866i | −0.999283 | − | 0.0378646i | \(-0.987944\pi\) |
0.830693 | + | 0.556731i | \(0.187944\pi\) | |||||||
\(542\) | 8.31426 | − | 9.31934i | 0.357128 | − | 0.400300i | ||||
\(543\) | −9.13332 | − | 9.13332i | −0.391948 | − | 0.391948i | ||||
\(544\) | 1.89282 | − | 5.28969i | 0.0811541 | − | 0.226793i | ||||
\(545\) | 26.2539 | + | 5.71706i | 1.12459 | + | 0.244892i | ||||
\(546\) | 9.81040 | − | 37.2948i | 0.419846 | − | 1.59607i | ||||
\(547\) | 2.48483 | − | 15.6886i | 0.106244 | − | 0.670797i | −0.875876 | − | 0.482537i | \(-0.839715\pi\) |
0.982119 | − | 0.188260i | \(-0.0602846\pi\) | |||||||
\(548\) | 12.8612 | − | 16.1829i | 0.549402 | − | 0.691298i | ||||
\(549\) | − | 8.62735i | − | 0.368206i | ||||||
\(550\) | −1.74117 | − | 1.95477i | −0.0742436 | − | 0.0833518i | ||||
\(551\) | − | 4.66154i | − | 0.198588i | ||||||
\(552\) | −20.0000 | + | 0.274617i | −0.851255 | + | 0.0116885i | ||||
\(553\) | −7.26425 | + | 45.8647i | −0.308907 | + | 1.95036i | ||||
\(554\) | −39.7151 | − | 10.4471i | −1.68733 | − | 0.443853i | ||||
\(555\) | 8.68696 | − | 3.81603i | 0.368741 | − | 0.161981i | ||||
\(556\) | −0.319799 | − | 0.348701i | −0.0135625 | − | 0.0147882i | ||||
\(557\) | −27.0131 | − | 27.0131i | −1.14458 | − | 1.14458i | −0.987602 | − | 0.156979i | \(-0.949824\pi\) |
−0.156979 | − | 0.987602i | \(-0.550176\pi\) | |||||||
\(558\) | 7.03250 | + | 6.27405i | 0.297709 | + | 0.265602i | ||||
\(559\) | −0.689449 | + | 2.12191i | −0.0291606 | + | 0.0897471i | ||||
\(560\) | −7.94239 | − | 46.1549i | −0.335627 | − | 1.95040i | ||||
\(561\) | −0.113619 | − | 0.349682i | −0.00479698 | − | 0.0147636i | ||||
\(562\) | −2.51712 | + | 5.72391i | −0.106179 | + | 0.241449i | ||||
\(563\) | 13.9788 | − | 7.12253i | 0.589134 | − | 0.300179i | −0.133896 | − | 0.990995i | \(-0.542749\pi\) |
0.723030 | + | 0.690817i | \(0.242749\pi\) | |||||||
\(564\) | 1.18824 | + | 10.3896i | 0.0500339 | + | 0.437482i | ||||
\(565\) | −16.4647 | − | 25.6316i | −0.692675 | − | 1.07833i | ||||
\(566\) | 1.24978 | − | 0.486318i | 0.0525320 | − | 0.0204415i | ||||
\(567\) | 5.17165 | − | 0.819109i | 0.217189 | − | 0.0343993i | ||||
\(568\) | −5.32492 | + | 17.1879i | −0.223429 | + | 0.721187i | ||||
\(569\) | −14.3030 | + | 19.6864i | −0.599612 | + | 0.825296i | −0.995673 | − | 0.0929289i | \(-0.970377\pi\) |
0.396060 | + | 0.918224i | \(0.370377\pi\) | |||||||
\(570\) | −4.10200 | + | 8.04274i | −0.171814 | + | 0.336873i | ||||
\(571\) | 10.6807 | + | 14.7008i | 0.446975 | + | 0.615208i | 0.971744 | − | 0.236036i | \(-0.0758484\pi\) |
−0.524769 | + | 0.851244i | \(0.675848\pi\) | |||||||
\(572\) | 3.61234 | + | 1.34884i | 0.151040 | + | 0.0563979i | ||||
\(573\) | 14.2003 | + | 7.23541i | 0.593225 | + | 0.302263i | ||||
\(574\) | 17.7931 | − | 14.5439i | 0.742670 | − | 0.607051i | ||||
\(575\) | −9.49078 | + | 34.0611i | −0.395793 | + | 1.42044i | ||||
\(576\) | −4.52281 | + | 6.59880i | −0.188450 | + | 0.274950i | ||||
\(577\) | −15.2366 | + | 29.9035i | −0.634308 | + | 1.24490i | 0.320380 | + | 0.947289i | \(0.396189\pi\) |
−0.954688 | + | 0.297610i | \(0.903811\pi\) | |||||||
\(578\) | 11.4130 | + | 19.5606i | 0.474718 | + | 0.813613i | ||||
\(579\) | −7.67971 | + | 5.57963i | −0.319158 | + | 0.231882i | ||||
\(580\) | −6.68293 | − | 2.94203i | −0.277494 | − | 0.122161i | ||||
\(581\) | 29.1099 | + | 21.1496i | 1.20768 | + | 0.877431i | ||||
\(582\) | 1.56197 | − | 15.5452i | 0.0647458 | − | 0.644370i | ||||
\(583\) | −0.253747 | − | 1.60209i | −0.0105091 | − | 0.0663520i | ||||
\(584\) | 6.48725 | + | 37.6094i | 0.268444 | + | 1.55629i | ||||
\(585\) | 2.95795 | + | 11.2630i | 0.122296 | + | 0.465668i | ||||
\(586\) | 22.0376 | + | 14.1684i | 0.910367 | + | 0.585293i | ||||
\(587\) | −6.48594 | − | 12.7294i | −0.267703 | − | 0.525397i | 0.717548 | − | 0.696509i | \(-0.245264\pi\) |
−0.985252 | + | 0.171111i | \(0.945264\pi\) | |||||||
\(588\) | −10.9291 | − | 39.3440i | −0.450710 | − | 1.62252i | ||||
\(589\) | −18.0949 | + | 5.87940i | −0.745589 | + | 0.242257i | ||||
\(590\) | −13.5610 | − | 0.00538651i | −0.558299 | − | 0.000221759i | ||||
\(591\) | 19.3674 | + | 6.29287i | 0.796670 | + | 0.258854i | ||||
\(592\) | −4.09207 | + | 16.4723i | −0.168183 | + | 0.677007i | ||||
\(593\) | −1.73642 | + | 1.73642i | −0.0713063 | + | 0.0713063i | −0.741861 | − | 0.670554i | \(-0.766056\pi\) |
0.670554 | + | 0.741861i | \(0.266056\pi\) | |||||||
\(594\) | 0.0297934 | + | 0.522709i | 0.00122244 | + | 0.0214470i | ||||
\(595\) | −10.0413 | − | 5.86411i | −0.411652 | − | 0.240405i | ||||
\(596\) | 15.6938 | + | 34.3980i | 0.642843 | + | 1.40900i | ||||
\(597\) | 4.58197 | + | 0.725713i | 0.187528 | + | 0.0297015i | ||||
\(598\) | −11.0616 | − | 50.8944i | −0.452344 | − | 2.08123i | ||||
\(599\) | 4.92161 | 0.201092 | 0.100546 | − | 0.994932i | \(-0.467941\pi\) | ||||
0.100546 | + | 0.994932i | \(0.467941\pi\) | |||||||
\(600\) | 8.94144 | + | 10.9568i | 0.365033 | + | 0.447308i | ||||
\(601\) | −21.9172 | −0.894020 | −0.447010 | − | 0.894529i | \(-0.647511\pi\) | ||||
−0.447010 | + | 0.894529i | \(0.647511\pi\) | |||||||
\(602\) | 0.673779 | + | 3.10005i | 0.0274612 | + | 0.126348i | ||||
\(603\) | −4.13082 | − | 0.654258i | −0.168220 | − | 0.0266435i | ||||
\(604\) | 6.26125 | + | 13.7235i | 0.254767 | + | 0.558403i | ||||
\(605\) | −18.1318 | + | 16.1634i | −0.737163 | + | 0.657135i | ||||
\(606\) | 0.214298 | + | 3.75974i | 0.00870528 | + | 0.152729i | ||||
\(607\) | 24.0001 | − | 24.0001i | 0.974133 | − | 0.974133i | −0.0255408 | − | 0.999674i | \(-0.508131\pi\) |
0.999674 | + | 0.0255408i | \(0.00813078\pi\) | |||||||
\(608\) | −6.90488 | − | 14.6000i | −0.280030 | − | 0.592110i | ||||
\(609\) | −8.13081 | − | 2.64186i | −0.329477 | − | 0.107054i | ||||
\(610\) | 22.0780 | − | 16.0272i | 0.893914 | − | 0.648924i | ||||
\(611\) | −25.8971 | + | 8.41448i | −1.04769 | + | 0.340414i | ||||
\(612\) | 0.531636 | + | 1.91385i | 0.0214901 | + | 0.0773626i | ||||
\(613\) | −8.12093 | − | 15.9382i | −0.328001 | − | 0.643738i | 0.666838 | − | 0.745203i | \(-0.267647\pi\) |
−0.994839 | + | 0.101464i | \(0.967647\pi\) | |||||||
\(614\) | −22.1411 | − | 14.2350i | −0.893544 | − | 0.574477i | ||||
\(615\) | −2.51908 | + | 6.46611i | −0.101579 | + | 0.260739i | ||||
\(616\) | 5.40302 | − | 0.931969i | 0.217694 | − | 0.0375501i | ||||
\(617\) | −5.91551 | − | 37.3491i | −0.238150 | − | 1.50362i | −0.759631 | − | 0.650354i | \(-0.774620\pi\) |
0.521482 | − | 0.853263i | \(-0.325380\pi\) | |||||||
\(618\) | −0.556362 | + | 5.53709i | −0.0223802 | + | 0.222734i | ||||
\(619\) | 17.2330 | + | 12.5205i | 0.692654 | + | 0.503243i | 0.877532 | − | 0.479519i | \(-0.159189\pi\) |
−0.184877 | + | 0.982762i | \(0.559189\pi\) | |||||||
\(620\) | −2.99132 | + | 29.6521i | −0.120134 | + | 1.19086i | ||||
\(621\) | 5.72114 | − | 4.15665i | 0.229582 | − | 0.166801i | ||||
\(622\) | 14.9350 | + | 25.5968i | 0.598837 | + | 1.02634i | ||||
\(623\) | −30.2843 | + | 59.4362i | −1.21331 | + | 2.38126i | ||||
\(624\) | −19.1821 | − | 8.12301i | −0.767899 | − | 0.325180i | ||||
\(625\) | 23.0364 | − | 9.71205i | 0.921456 | − | 0.388482i | ||||
\(626\) | −16.4024 | + | 13.4072i | −0.655572 | + | 0.535858i | ||||
\(627\) | −0.941761 | − | 0.479851i | −0.0376103 | − | 0.0191634i | ||||
\(628\) | −14.7060 | − | 5.49118i | −0.586831 | − | 0.219122i | ||||
\(629\) | 2.47705 | + | 3.40936i | 0.0987663 | + | 0.135940i | ||||
\(630\) | 11.7037 | + | 11.7130i | 0.466285 | + | 0.466655i | ||||
\(631\) | −4.06255 | + | 5.59161i | −0.161727 | + | 0.222599i | −0.882188 | − | 0.470897i | \(-0.843930\pi\) |
0.720461 | + | 0.693496i | \(0.243930\pi\) | |||||||
\(632\) | 23.9603 | + | 7.42307i | 0.953091 | + | 0.295274i | ||||
\(633\) | −0.278249 | + | 0.0440703i | −0.0110594 | + | 0.00175164i | ||||
\(634\) | −0.883587 | + | 0.343825i | −0.0350917 | + | 0.0136550i | ||||
\(635\) | 27.3742 | + | 10.6645i | 1.08631 | + | 0.423207i | ||||
\(636\) | 0.995706 | + | 8.70617i | 0.0394823 | + | 0.345222i | ||||
\(637\) | 94.7379 | − | 48.2714i | 3.75365 | − | 1.91258i | ||||
\(638\) | 0.344115 | − | 0.782513i | 0.0136236 | − | 0.0309800i | ||||
\(639\) | −1.96590 | − | 6.05041i | −0.0777697 | − | 0.239350i | ||||
\(640\) | −25.2890 | + | 0.684557i | −0.999634 | + | 0.0270595i | ||||
\(641\) | −0.733499 | + | 2.25748i | −0.0289715 | + | 0.0891650i | −0.964497 | − | 0.264095i | \(-0.914927\pi\) |
0.935525 | + | 0.353260i | \(0.114927\pi\) | |||||||
\(642\) | 0.356890 | + | 0.318399i | 0.0140853 | + | 0.0125662i | ||||
\(643\) | 4.36401 | + | 4.36401i | 0.172100 | + | 0.172100i | 0.787901 | − | 0.615801i | \(-0.211168\pi\) |
−0.615801 | + | 0.787901i | \(0.711168\pi\) | |||||||
\(644\) | −50.0553 | − | 54.5790i | −1.97245 | − | 2.15071i | ||||
\(645\) | −0.637458 | − | 0.715090i | −0.0250999 | − | 0.0281566i | ||||
\(646\) | −3.87807 | − | 1.02013i | −0.152581 | − | 0.0401363i | ||||
\(647\) | 6.93647 | − | 43.7951i | 0.272701 | − | 1.72176i | −0.347809 | − | 0.937565i | \(-0.613074\pi\) |
0.620510 | − | 0.784199i | \(-0.286926\pi\) | |||||||
\(648\) | −0.0388331 | − | 2.82816i | −0.00152551 | − | 0.111101i | ||||
\(649\) | − | 1.58760i | − | 0.0623189i | ||||||
\(650\) | −23.3278 | + | 28.4932i | −0.914993 | + | 1.11760i | ||||
\(651\) | 34.8939i | 1.36760i | ||||||||
\(652\) | 11.8735 | − | 14.9401i | 0.465002 | − | 0.585100i | ||||
\(653\) | 3.85995 | − | 24.3708i | 0.151052 | − | 0.953702i | −0.789426 | − | 0.613846i | \(-0.789622\pi\) |
0.940477 | − | 0.339856i | \(-0.110378\pi\) | |||||||
\(654\) | 4.32308 | − | 16.4345i | 0.169046 | − | 0.642638i | ||||
\(655\) | −18.4853 | + | 31.6528i | −0.722280 | + | 1.23678i | ||||
\(656\) | −6.40262 | − | 10.6352i | −0.249980 | − | 0.415234i | ||||
\(657\) | −9.54119 | − | 9.54119i | −0.372237 | − | 0.372237i | ||||
\(658\) | −25.7756 | + | 28.8916i | −1.00484 | + | 1.12631i | ||||
\(659\) | −2.24945 | + | 6.92309i | −0.0876260 | + | 0.269685i | −0.985262 | − | 0.171053i | \(-0.945283\pi\) |
0.897636 | + | 0.440738i | \(0.145283\pi\) | |||||||
\(660\) | −1.28230 | + | 1.04729i | −0.0499135 | + | 0.0407658i | ||||
\(661\) | −4.69519 | − | 14.4503i | −0.182622 | − | 0.562052i | 0.817277 | − | 0.576244i | \(-0.195482\pi\) |
−0.999899 | + | 0.0141920i | \(0.995482\pi\) | |||||||
\(662\) | 38.4044 | + | 16.8886i | 1.49263 | + | 0.656393i | ||||
\(663\) | −4.60842 | + | 2.34811i | −0.178976 | + | 0.0911929i | ||||
\(664\) | 13.5537 | − | 13.9311i | 0.525986 | − | 0.540631i | ||||
\(665\) | −32.3312 | + | 8.49099i | −1.25375 | + | 0.329267i | ||||
\(666\) | −2.17613 | − | 5.59237i | −0.0843233 | − | 0.216700i | ||||
\(667\) | −11.4042 | + | 1.80624i | −0.441571 | + | 0.0699379i | ||||
\(668\) | −22.2972 | + | 14.7719i | −0.862705 | + | 0.571542i | ||||
\(669\) | 4.77750 | − | 6.57566i | 0.184709 | − | 0.254230i | ||||
\(670\) | −5.99963 | − | 11.7865i | −0.231786 | − | 0.455353i | ||||
\(671\) | 1.87735 | + | 2.58395i | 0.0724743 | + | 0.0997523i | ||||
\(672\) | −29.3791 | + | 3.76935i | −1.13332 | + | 0.145406i | ||||
\(673\) | −2.83209 | − | 1.44302i | −0.109169 | − | 0.0556245i | 0.398553 | − | 0.917145i | \(-0.369512\pi\) |
−0.507722 | + | 0.861521i | \(0.669512\pi\) | |||||||
\(674\) | −15.3910 | − | 18.8294i | −0.592839 | − | 0.725283i | ||||
\(675\) | −4.81652 | − | 1.34207i | −0.185388 | − | 0.0516565i | ||||
\(676\) | 5.61874 | − | 27.6775i | 0.216106 | − | 1.06452i | ||||
\(677\) | 18.1131 | − | 35.5491i | 0.696145 | − | 1.36626i | −0.223964 | − | 0.974597i | \(-0.571900\pi\) |
0.920108 | − | 0.391664i | \(-0.128100\pi\) | |||||||
\(678\) | −16.6417 | + | 9.70989i | −0.639119 | + | 0.372906i | ||||
\(679\) | 46.7983 | − | 34.0010i | 1.79595 | − | 1.30484i | ||||
\(680\) | −3.91004 | + | 4.91589i | −0.149943 | + | 0.188516i | ||||
\(681\) | −19.3987 | − | 14.0940i | −0.743358 | − | 0.540081i | ||||
\(682\) | −3.47154 | − | 0.348818i | −0.132932 | − | 0.0133569i | ||||
\(683\) | −5.05528 | − | 31.9178i | −0.193435 | − | 1.22130i | −0.873013 | − | 0.487697i | \(-0.837837\pi\) |
0.679578 | − | 0.733603i | \(-0.262163\pi\) | |||||||
\(684\) | 4.97099 | + | 2.80965i | 0.190070 | + | 0.107430i | ||||
\(685\) | −19.4449 | + | 12.4906i | −0.742951 | + | 0.477241i | ||||
\(686\) | 53.7290 | − | 83.5703i | 2.05138 | − | 3.19073i | ||||
\(687\) | 0.160259 | + | 0.314527i | 0.00611427 | + | 0.0119999i | ||||
\(688\) | 1.70939 | − | 0.120998i | 0.0651700 | − | 0.00461302i | ||||
\(689\) | −21.7009 | + | 7.05106i | −0.826740 | + | 0.268624i | ||||
\(690\) | 21.2655 | + | 6.91892i | 0.809563 | + | 0.263399i | ||||
\(691\) | 2.35753 | + | 0.766009i | 0.0896848 | + | 0.0291404i | 0.353516 | − | 0.935429i | \(-0.384986\pi\) |
−0.263831 | + | 0.964569i | \(0.584986\pi\) | |||||||
\(692\) | −5.18525 | − | 0.224176i | −0.197114 | − | 0.00852190i | ||||
\(693\) | −1.37070 | + | 1.37070i | −0.0520687 | + | 0.0520687i | ||||
\(694\) | 21.0590 | − | 1.20033i | 0.799390 | − | 0.0455637i | ||||
\(695\) | 0.212753 | + | 0.484320i | 0.00807018 | + | 0.0183713i | ||||
\(696\) | −2.03988 | + | 4.14315i | −0.0773215 | + | 0.157046i | ||||
\(697\) | −3.04425 | − | 0.482161i | −0.115309 | − | 0.0182632i | ||||
\(698\) | −11.1846 | + | 2.43091i | −0.423342 | + | 0.0920111i | ||||
\(699\) | −22.4339 | −0.848527 | ||||||||
\(700\) | −8.23217 | + | 51.7100i | −0.311147 | + | 1.95445i | ||||
\(701\) | −9.19901 | −0.347442 | −0.173721 | − | 0.984795i | \(-0.555579\pi\) | ||||
−0.173721 | + | 0.984795i | \(0.555579\pi\) | |||||||
\(702\) | 7.19689 | − | 1.56421i | 0.271629 | − | 0.0590372i | ||||
\(703\) | 11.9654 | + | 1.89514i | 0.451285 | + | 0.0714765i | ||||
\(704\) | −0.0813177 | − | 2.96057i | −0.00306477 | − | 0.111581i | ||||
\(705\) | 2.48769 | − | 11.4240i | 0.0936918 | − | 0.430251i | ||||
\(706\) | 10.1174 | − | 0.576670i | 0.380772 | − | 0.0217033i | ||||
\(707\) | −9.85920 | + | 9.85920i | −0.370793 | + | 0.370793i | ||||
\(708\) | −0.370457 | + | 8.56875i | −0.0139226 | + | 0.322033i | ||||
\(709\) | −24.6840 | − | 8.02031i | −0.927027 | − | 0.301209i | −0.193681 | − | 0.981065i | \(-0.562043\pi\) |
−0.733346 | + | 0.679855i | \(0.762043\pi\) | |||||||
\(710\) | 11.8314 | − | 16.2709i | 0.444023 | − | 0.610635i | ||||
\(711\) | −8.43442 | + | 2.74051i | −0.316316 | + | 0.102777i | ||||
\(712\) | 29.4397 | + | 20.7777i | 1.10330 | + | 0.778678i | ||||
\(713\) | 21.3950 | + | 41.9900i | 0.801248 | + | 1.57254i | ||||
\(714\) | −3.97718 | + | 6.18611i | −0.148842 | + | 0.231509i | ||||
\(715\) | −3.33681 | − | 2.72969i | −0.124790 | − | 0.102084i | ||||
\(716\) | 2.92119 | − | 5.16833i | 0.109170 | − | 0.193150i | ||||
\(717\) | 4.47533 | + | 28.2561i | 0.167134 | + | 1.05524i | ||||
\(718\) | 27.7156 | + | 2.78484i | 1.03434 | + | 0.103929i | ||||
\(719\) | −8.69185 | − | 6.31500i | −0.324151 | − | 0.235510i | 0.413793 | − | 0.910371i | \(-0.364204\pi\) |
−0.737945 | + | 0.674861i | \(0.764204\pi\) | |||||||
\(720\) | 7.16533 | − | 5.35332i | 0.267036 | − | 0.199506i | ||||
\(721\) | −16.6692 | + | 12.1109i | −0.620793 | + | 0.451033i | ||||
\(722\) | 13.2518 | − | 7.73198i | 0.493179 | − | 0.287755i | ||||
\(723\) | −0.511006 | + | 1.00291i | −0.0190045 | + | 0.0372984i | ||||
\(724\) | −25.3165 | − | 5.13946i | −0.940881 | − | 0.191006i | ||||
\(725\) | 6.01219 | + | 5.52267i | 0.223287 | + | 0.205107i | ||||
\(726\) | 9.72249 | + | 11.8946i | 0.360835 | + | 0.441448i | ||||
\(727\) | 20.3289 | + | 10.3581i | 0.753958 | + | 0.384161i | 0.788333 | − | 0.615248i | \(-0.210944\pi\) |
−0.0343757 | + | 0.999409i | \(0.510944\pi\) | |||||||
\(728\) | −24.8384 | − | 73.0181i | −0.920574 | − | 2.70623i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 6.69172 | − | 42.1415i | 0.247672 | − | 1.55973i | ||||
\(731\) | 0.250094 | − | 0.344225i | 0.00925007 | − | 0.0127316i | ||||
\(732\) | −9.52965 | − | 14.3844i | −0.352226 | − | 0.531662i | ||||
\(733\) | 3.59155 | − | 0.568846i | 0.132657 | − | 0.0210108i | −0.0897528 | − | 0.995964i | \(-0.528608\pi\) |
0.222410 | + | 0.974953i | \(0.428608\pi\) | |||||||
\(734\) | 0.594186 | + | 1.52698i | 0.0219318 | + | 0.0563620i | ||||
\(735\) | −2.61606 | + | 45.5786i | −0.0964947 | + | 1.68119i | ||||
\(736\) | −33.0426 | + | 22.5495i | −1.21797 | + | 0.831187i | ||||
\(737\) | 1.37958 | − | 0.702931i | 0.0508174 | − | 0.0258928i | ||||
\(738\) | 4.01760 | + | 1.76676i | 0.147890 | + | 0.0650354i | ||||
\(739\) | −7.22761 | − | 22.2443i | −0.265872 | − | 0.818269i | −0.991491 | − | 0.130173i | \(-0.958447\pi\) |
0.725620 | − | 0.688096i | \(-0.241553\pi\) | |||||||
\(740\) | 10.2687 | − | 15.9580i | 0.377483 | − | 0.586626i | ||||
\(741\) | −4.59458 | + | 14.1407i | −0.168786 | + | 0.519471i | ||||
\(742\) | −21.5991 | + | 24.2102i | −0.792929 | + | 0.888784i | ||||
\(743\) | 0.983008 | + | 0.983008i | 0.0360631 | + | 0.0360631i | 0.724908 | − | 0.688845i | \(-0.241882\pi\) |
−0.688845 | + | 0.724908i | \(0.741882\pi\) | |||||||
\(744\) | 18.6555 | + | 2.69273i | 0.683944 | + | 0.0987203i | ||||
\(745\) | −4.20944 | − | 42.0616i | −0.154222 | − | 1.54102i | ||||
\(746\) | 2.04472 | − | 7.77313i | 0.0748626 | − | 0.284595i | ||||
\(747\) | −1.07499 | + | 6.78724i | −0.0393320 | + | 0.248332i | ||||
\(748\) | −0.575690 | − | 0.457524i | −0.0210493 | − | 0.0167287i | ||||
\(749\) | 1.77082i | 0.0647042i | ||||||||
\(750\) | −5.51329 | − | 14.8190i | −0.201317 | − | 0.541114i | ||||
\(751\) | 4.90529i | 0.178997i | 0.995987 | + | 0.0894983i | \(0.0285264\pi\) | ||||
−0.995987 | + | 0.0894983i | \(0.971474\pi\) | |||||||
\(752\) | 13.4574 | + | 16.0101i | 0.490741 | + | 0.583829i | ||||
\(753\) | 0.312993 | − | 1.97616i | 0.0114061 | − | 0.0720153i | ||||
\(754\) | −11.6294 | − | 3.05911i | −0.423518 | − | 0.111406i | ||||
\(755\) | −1.67941 | − | 16.7810i | −0.0611201 | − | 0.610725i | ||||
\(756\) | 7.71792 | − | 7.07823i | 0.280698 | − | 0.257433i | ||||
\(757\) | 7.38605 | + | 7.38605i | 0.268451 | + | 0.268451i | 0.828476 | − | 0.560025i | \(-0.189208\pi\) |
−0.560025 | + | 0.828476i | \(0.689208\pi\) | |||||||
\(758\) | 27.5031 | + | 24.5369i | 0.998957 | + | 0.891220i | ||||
\(759\) | −0.809015 | + | 2.48989i | −0.0293654 | + | 0.0903774i | ||||
\(760\) | 2.04462 | + | 17.9407i | 0.0741661 | + | 0.650777i | ||||
\(761\) | −8.40625 | − | 25.8718i | −0.304726 | − | 0.937851i | −0.979779 | − | 0.200082i | \(-0.935879\pi\) |
0.675053 | − | 0.737769i | \(-0.264121\pi\) | |||||||
\(762\) | 7.47956 | − | 17.0084i | 0.270956 | − | 0.616151i | ||||
\(763\) | 56.0607 | − | 28.5644i | 2.02953 | − | 1.03410i | ||||
\(764\) | 31.6683 | − | 3.62183i | 1.14572 | − | 0.131033i | ||||
\(765\) | 0.127255 | − | 2.21712i | 0.00460092 | − | 0.0801601i | ||||
\(766\) | −19.9154 | + | 7.74958i | −0.719574 | + | 0.280004i | ||||
\(767\) | −22.0580 | + | 3.49364i | −0.796468 | + | 0.126148i | ||||
\(768\) | −0.251934 | + | 15.9980i | −0.00909090 | + | 0.577279i | ||||
\(769\) | 4.36004 | − | 6.00107i | 0.157227 | − | 0.216404i | −0.723135 | − | 0.690707i | \(-0.757300\pi\) |
0.880362 | + | 0.474302i | \(0.157300\pi\) | |||||||
\(770\) | −6.05412 | − | 0.961343i | −0.218175 | − | 0.0346444i | ||||
\(771\) | −5.46804 | − | 7.52611i | −0.196926 | − | 0.271046i | ||||
\(772\) | −6.64120 | + | 17.7858i | −0.239022 | + | 0.640126i | ||||
\(773\) | −42.1935 | − | 21.4986i | −1.51759 | − | 0.773252i | −0.520831 | − | 0.853660i | \(-0.674378\pi\) |
−0.996762 | + | 0.0804076i | \(0.974378\pi\) | |||||||
\(774\) | −0.469102 | + | 0.383439i | −0.0168615 | + | 0.0137824i | ||||
\(775\) | 13.8547 | − | 30.3034i | 0.497677 | − | 1.08853i | ||||
\(776\) | −14.5667 | − | 27.6439i | −0.522916 | − | 0.992358i | ||||
\(777\) | 10.0868 | − | 19.7965i | 0.361862 | − | 0.710194i | ||||
\(778\) | 10.8283 | + | 18.5585i | 0.388214 | + | 0.665356i | ||||
\(779\) | −7.16821 | + | 5.20801i | −0.256828 | + | 0.186596i | ||||
\(780\) | 17.3728 | + | 15.5115i | 0.622045 | + | 0.555402i | ||||
\(781\) | 1.90539 | + | 1.38435i | 0.0681804 | + | 0.0495360i | ||||
\(782\) | −0.993009 | + | 9.88273i | −0.0355099 | + | 0.353406i | ||||
\(783\) | −0.255417 | − | 1.61264i | −0.00912787 | − | 0.0576311i | ||||
\(784\) | −61.6810 | − | 53.5262i | −2.20289 | − | 1.91165i | ||||
\(785\) | 13.5843 | + | 11.1126i | 0.484843 | + | 0.396627i | ||||
\(786\) | 19.5003 | + | 12.5371i | 0.695554 | + | 0.447185i | ||||
\(787\) | −0.667535 | − | 1.31011i | −0.0237950 | − | 0.0467004i | 0.878803 | − | 0.477185i | \(-0.158343\pi\) |
−0.902598 | + | 0.430484i | \(0.858343\pi\) | |||||||
\(788\) | 39.2424 | − | 10.9009i | 1.39795 | − | 0.388329i | ||||
\(789\) | −4.23851 | + | 1.37718i | −0.150895 | + | 0.0490288i | ||||
\(790\) | −22.6820 | − | 16.4932i | −0.806989 | − | 0.586802i | ||||
\(791\) | −67.8453 | − | 22.0443i | −2.41230 | − | 0.783805i | ||||
\(792\) | 0.627051 | + | 0.838603i | 0.0222813 | + | 0.0297985i | ||||
\(793\) | 31.7699 | − | 31.7699i | 1.12818 | − | 1.12818i | ||||
\(794\) | −0.640394 | − | 11.2354i | −0.0227268 | − | 0.398728i | ||||
\(795\) | 2.08460 | − | 9.57290i | 0.0739332 | − | 0.339516i | ||||
\(796\) | 8.44114 | − | 3.85120i | 0.299188 | − | 0.136502i | ||||
\(797\) | 27.4261 | + | 4.34387i | 0.971483 | + | 0.153868i | 0.621951 | − | 0.783056i | \(-0.286340\pi\) |
0.349533 | + | 0.936924i | \(0.386340\pi\) | |||||||
\(798\) | 4.49016 | + | 20.6591i | 0.158950 | + | 0.731326i | ||||
\(799\) | 5.19290 | 0.183712 | ||||||||
\(800\) | 27.0107 | + | 8.39163i | 0.954974 | + | 0.296689i | ||||
\(801\) | −12.7398 | −0.450137 | ||||||||
\(802\) | 5.27459 | + | 24.2683i | 0.186252 | + | 0.856944i | ||||
\(803\) | 4.93385 | + | 0.781446i | 0.174112 | + | 0.0275766i | ||||
\(804\) | −7.61001 | + | 3.47200i | −0.268384 | + | 0.122448i | ||||
\(805\) | 33.3003 | + | 75.8062i | 1.17368 | + | 2.67182i | ||||
\(806\) | 2.79296 | + | 49.0008i | 0.0983777 | + | 1.72598i | ||||
\(807\) | 18.9468 | − | 18.9468i | 0.666960 | − | 0.666960i | ||||
\(808\) | 4.51026 | + | 6.03191i | 0.158670 | + | 0.212202i | ||||
\(809\) | 15.4567 | + | 5.02219i | 0.543429 | + | 0.176571i | 0.567852 | − | 0.823131i | \(-0.307775\pi\) |
−0.0244225 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(810\) | −0.978392 | + | 3.00712i | −0.0343772 | + | 0.105659i | ||||
\(811\) | 30.3929 | − | 9.87525i | 1.06724 | − | 0.346767i | 0.277827 | − | 0.960631i | \(-0.410386\pi\) |
0.789412 | + | 0.613864i | \(0.210386\pi\) | |||||||
\(812\) | −16.4747 | + | 4.57640i | −0.578147 | + | 0.160600i | ||||
\(813\) | 4.00924 | + | 7.86857i | 0.140610 | + | 0.275963i | ||||
\(814\) | 1.86869 | + | 1.20142i | 0.0654975 | + | 0.0421097i | ||||
\(815\) | −17.9516 | + | 11.5314i | −0.628818 | + | 0.403927i | ||||
\(816\) | 3.00040 | + | 2.60372i | 0.105035 | + | 0.0911484i | ||||
\(817\) | −0.191342 | − | 1.20809i | −0.00669421 | − | 0.0422656i | ||||
\(818\) | −2.87308 | + | 28.5938i | −0.100455 | + | 0.999759i | ||||
\(819\) | 22.0607 | + | 16.0281i | 0.770864 | + | 0.560066i | ||||
\(820\) | 2.94231 | + | 13.5635i | 0.102750 | + | 0.473658i | ||||
\(821\) | 10.3666 | − | 7.53179i | 0.361797 | − | 0.262861i | −0.392004 | − | 0.919963i | \(-0.628218\pi\) |
0.753801 | + | 0.657102i | \(0.228218\pi\) | |||||||
\(822\) | 7.36620 | + | 12.6248i | 0.256926 | + | 0.440342i | ||||
\(823\) | 3.15910 | − | 6.20009i | 0.110119 | − | 0.216122i | −0.829370 | − | 0.558700i | \(-0.811300\pi\) |
0.939489 | + | 0.342579i | \(0.111300\pi\) | |||||||
\(824\) | 5.18856 | + | 9.84654i | 0.180752 | + | 0.343020i | ||||
\(825\) | 1.73462 | − | 0.646135i | 0.0603917 | − | 0.0224955i | ||||
\(826\) | −24.5868 | + | 20.0970i | −0.855486 | + | 0.699265i | ||||
\(827\) | −16.5164 | − | 8.41554i | −0.574333 | − | 0.292637i | 0.142599 | − | 0.989781i | \(-0.454454\pi\) |
−0.716932 | + | 0.697143i | \(0.754454\pi\) | |||||||
\(828\) | 4.94749 | − | 13.2499i | 0.171937 | − | 0.460465i | ||||
\(829\) | 3.21460 | + | 4.42451i | 0.111648 | + | 0.153670i | 0.861184 | − | 0.508294i | \(-0.169724\pi\) |
−0.749536 | + | 0.661963i | \(0.769724\pi\) | |||||||
\(830\) | −19.3661 | + | 9.85783i | −0.672207 | + | 0.342170i | ||||
\(831\) | 17.0682 | − | 23.4924i | 0.592090 | − | 0.814942i | ||||
\(832\) | −40.9549 | + | 7.64478i | −1.41985 | + | 0.265035i | ||||
\(833\) | −20.0275 | + | 3.17205i | −0.693913 | + | 0.109905i | ||||
\(834\) | 0.311789 | − | 0.121325i | 0.0107964 | − | 0.00420113i | ||||
\(835\) | 28.9227 | − | 7.59583i | 1.00091 | − | 0.262865i | ||||
\(836\) | −2.10024 | + | 0.240199i | −0.0726382 | + | 0.00830747i | ||||
\(837\) | −5.93773 | + | 3.02543i | −0.205238 | + | 0.104574i | ||||
\(838\) | −19.7982 | + | 45.0209i | −0.683918 | + | 1.55522i | ||||
\(839\) | −7.44724 | − | 22.9203i | −0.257107 | − | 0.791295i | −0.993407 | − | 0.114640i | \(-0.963429\pi\) |
0.736300 | − | 0.676656i | \(-0.236571\pi\) | |||||||
\(840\) | 32.4515 | + | 6.60133i | 1.11968 | + | 0.227768i | ||||
\(841\) | 8.13770 | − | 25.0453i | 0.280610 | − | 0.863630i | ||||
\(842\) | 24.4027 | + | 21.7709i | 0.840974 | + | 0.750276i | ||||
\(843\) | −3.12646 | − | 3.12646i | −0.107681 | − | 0.107681i | ||||
\(844\) | −0.415245 | + | 0.380828i | −0.0142933 | + | 0.0131086i | ||||
\(845\) | −15.9236 | + | 27.2664i | −0.547788 | + | 0.937991i | ||||
\(846\) | −7.15119 | − | 1.88112i | −0.245863 | − | 0.0646743i | ||||
\(847\) | −8.89793 | + | 56.1793i | −0.305737 | + | 1.93035i | ||||
\(848\) | 11.2769 | + | 13.4160i | 0.387249 | + | 0.460706i | ||||
\(849\) | 0.948273i | 0.0325446i | ||||||||
\(850\) | 5.91017 | − | 3.79314i | 0.202717 | − | 0.130104i | ||||
\(851\) | − | 30.0070i | − | 1.02863i | ||||||
\(852\) | −9.96093 | − | 7.91635i | −0.341256 | − | 0.271210i | ||||
\(853\) | −4.08397 | + | 25.7852i | −0.139833 | + | 0.882868i | 0.813636 | + | 0.581375i | \(0.197485\pi\) |
−0.953468 | + | 0.301493i | \(0.902515\pi\) | |||||||
\(854\) | 16.2522 | − | 61.7836i | 0.556138 | − | 2.11419i | ||||
\(855\) | −4.24811 | − | 4.76546i | −0.145282 | − | 0.162975i | ||||
\(856\) | 0.946742 | + | 0.136652i | 0.0323590 | + | 0.00467068i | ||||
\(857\) | 23.8904 | + | 23.8904i | 0.816080 | + | 0.816080i | 0.985537 | − | 0.169458i | \(-0.0542017\pi\) |
−0.169458 | + | 0.985537i | \(0.554202\pi\) | |||||||
\(858\) | −1.81514 | + | 2.03457i | −0.0619679 | + | 0.0694589i | ||||
\(859\) | −1.70719 | + | 5.25420i | −0.0582487 | + | 0.179271i | −0.975947 | − | 0.218006i | \(-0.930045\pi\) |
0.917699 | + | 0.397277i | \(0.130045\pi\) | |||||||
\(860\) | −1.85271 | − | 0.488143i | −0.0631770 | − | 0.0166455i | ||||
\(861\) | 5.02150 | + | 15.4546i | 0.171132 | + | 0.526691i | ||||
\(862\) | −26.0476 | − | 11.4546i | −0.887185 | − | 0.390145i | ||||
\(863\) | 16.6558 | − | 8.48655i | 0.566970 | − | 0.288885i | −0.146915 | − | 0.989149i | \(-0.546934\pi\) |
0.713884 | + | 0.700264i | \(0.246934\pi\) | |||||||
\(864\) | −3.18869 | − | 4.67250i | −0.108481 | − | 0.158962i | ||||
\(865\) | 5.40688 | + | 2.10642i | 0.183839 | + | 0.0716205i | ||||
\(866\) | 2.80432 | + | 7.20676i | 0.0952948 | + | 0.244896i | ||||
\(867\) | −15.8165 | + | 2.50509i | −0.537156 | + | 0.0850771i | ||||
\(868\) | 38.5433 | + | 58.1786i | 1.30824 | + | 1.97471i | ||||
\(869\) | 1.92982 | − | 2.65617i | 0.0654646 | − | 0.0901044i | ||||
\(870\) | 3.65238 | − | 3.64948i | 0.123827 | − | 0.123729i | ||||
\(871\) | −12.8023 | − | 17.6209i | −0.433790 | − | 0.597060i | ||||
\(872\) | −10.9454 | − | 32.1764i | −0.370657 | − | 1.08963i | ||||
\(873\) | 9.84338 | + | 5.01545i | 0.333148 | + | 0.169747i | ||||
\(874\) | 18.0703 | + | 22.1074i | 0.611238 | + | 0.747792i | ||||
\(875\) | 27.3526 | − | 51.7585i | 0.924688 | − | 1.74976i | ||||
\(876\) | −26.4471 | − | 5.36897i | −0.893564 | − | 0.181401i | ||||
\(877\) | 24.2436 | − | 47.5808i | 0.818649 | − | 1.60669i | 0.0239273 | − | 0.999714i | \(-0.492383\pi\) |
0.794721 | − | 0.606975i | \(-0.207617\pi\) | |||||||
\(878\) | −34.4779 | + | 20.1168i | −1.16357 | + | 0.678908i | ||||
\(879\) | −14.9876 | + | 10.8891i | −0.505519 | + | 0.367281i | ||||
\(880\) | −0.981160 | + | 3.16256i | −0.0330749 | + | 0.106610i | ||||
\(881\) | −9.29045 | − | 6.74991i | −0.313003 | − | 0.227410i | 0.420181 | − | 0.907440i | \(-0.361967\pi\) |
−0.733184 | + | 0.680030i | \(0.761967\pi\) | |||||||
\(882\) | 28.7292 | + | 2.88669i | 0.967362 | + | 0.0971998i | ||||
\(883\) | 0.521734 | + | 3.29410i | 0.0175578 | + | 0.110855i | 0.994911 | − | 0.100760i | \(-0.0321275\pi\) |
−0.977353 | + | 0.211616i | \(0.932128\pi\) | |||||||
\(884\) | −5.08993 | + | 9.00539i | −0.171193 | + | 0.302884i | ||||
\(885\) | 3.48091 | − | 8.93500i | 0.117010 | − | 0.300347i | ||||
\(886\) | −10.3863 | + | 16.1549i | −0.348935 | + | 0.542734i | ||||
\(887\) | −4.44745 | − | 8.72861i | −0.149331 | − | 0.293078i | 0.804208 | − | 0.594348i | \(-0.202590\pi\) |
−0.953539 | + | 0.301269i | \(0.902590\pi\) | |||||||
\(888\) | −9.80551 | − | 6.92045i | −0.329051 | − | 0.232235i | ||||
\(889\) | 65.4268 | − | 21.2584i | 2.19434 | − | 0.712985i | ||||
\(890\) | −23.6670 | − | 32.6020i | −0.793318 | − | 1.09282i | ||||
\(891\) | −0.352091 | − | 0.114401i | −0.0117955 | − | 0.00383259i | ||||
\(892\) | 0.702144 | − | 16.2408i | 0.0235095 | − | 0.543781i | ||||
\(893\) | 10.5557 | − | 10.5557i | 0.353234 | − | 0.353234i | ||||
\(894\) | −26.6916 | + | 1.52137i | −0.892702 | + | 0.0508824i | ||||
\(895\) | −4.95465 | + | 4.41676i | −0.165616 | + | 0.147636i | ||||
\(896\) | −44.8203 | + | 38.7364i | −1.49734 | + | 1.29409i | ||||
\(897\) | 36.3746 | + | 5.76117i | 1.21451 | + | 0.192360i | ||||
\(898\) | −8.73996 | + | 1.89958i | −0.291656 | + | 0.0633899i | ||||
\(899\) | 10.8807 | 0.362893 | ||||||||
\(900\) | −9.51302 | + | 3.08261i | −0.317101 | + | 0.102754i | ||||
\(901\) | 4.35148 | 0.144969 | ||||||||
\(902\) | −1.58775 | + | 0.345090i | −0.0528664 | + | 0.0114902i | ||||
\(903\) | −2.21562 | − | 0.350920i | −0.0737313 | − | 0.0116779i | ||||
\(904\) | −17.0212 | + | 34.5714i | −0.566118 | + | 1.14983i | ||||
\(905\) | 24.9405 | + | 14.5653i | 0.829050 | + | 0.484166i | ||||
\(906\) | −10.6490 | + | 0.606973i | −0.353789 | + | 0.0201653i | ||||
\(907\) | −31.5206 | + | 31.5206i | −1.04662 | + | 1.04662i | −0.0477645 | + | 0.998859i | \(0.515210\pi\) |
−0.998859 | + | 0.0477645i | \(0.984790\pi\) | |||||||
\(908\) | −47.9114 | − | 2.07137i | −1.58999 | − | 0.0687410i | ||||
\(909\) | −2.53252 | − | 0.822867i | −0.0839985 | − | 0.0272928i | ||||
\(910\) | −0.0342512 | + | 86.2307i | −0.00113542 | + | 2.85852i | ||||
\(911\) | 53.3392 | − | 17.3310i | 1.76721 | − | 0.574200i | 0.769301 | − | 0.638887i | \(-0.220605\pi\) |
0.997906 | + | 0.0646865i | \(0.0206048\pi\) | |||||||
\(912\) | 11.3916 | − | 0.806349i | 0.377214 | − | 0.0267009i | ||||
\(913\) | −1.15497 | − | 2.26675i | −0.0382238 | − | 0.0750184i | ||||
\(914\) | −25.1993 | + | 39.1951i | −0.833518 | + | 1.29646i | ||||
\(915\) | 4.90022 | + | 18.6586i | 0.161996 | + | 0.616835i | ||||
\(916\) | 0.614622 | + | 0.347390i | 0.0203077 | + | 0.0114781i | ||||
\(917\) | 13.4274 | + | 84.7774i | 0.443413 | + | 2.79960i | ||||
\(918\) | −1.39750 | − | 0.140420i | −0.0461244 | − | 0.00463454i | ||||
\(919\) | 11.7270 | + | 8.52016i | 0.386838 | + | 0.281054i | 0.764159 | − | 0.645028i | \(-0.223155\pi\) |
−0.377321 | + | 0.926083i | \(0.623155\pi\) | |||||||
\(920\) | 43.0985 | − | 11.9536i | 1.42092 | − | 0.394100i | ||||
\(921\) | 15.0580 | − | 10.9403i | 0.496177 | − | 0.360494i | ||||
\(922\) | 26.5489 | − | 15.4904i | 0.874341 | − | 0.510151i | ||||
\(923\) | 15.0410 | − | 29.5197i | 0.495082 | − | 0.971653i | ||||
\(924\) | −0.771315 | + | 3.79943i | −0.0253744 | + | 0.124992i | ||||
\(925\) | −16.6201 | + | 13.1871i | −0.546465 | + | 0.433589i | ||||
\(926\) | −4.33880 | − | 5.30811i | −0.142582 | − | 0.174435i | ||||
\(927\) | −3.50613 | − | 1.78646i | −0.115157 | − | 0.0586752i | ||||
\(928\) | 1.17537 | + | 9.16110i | 0.0385834 | + | 0.300728i | ||||
\(929\) | 18.7245 | + | 25.7720i | 0.614330 | + | 0.845553i | 0.996925 | − | 0.0783633i | \(-0.0249694\pi\) |
−0.382595 | + | 0.923916i | \(0.624969\pi\) | |||||||
\(930\) | −18.7730 | − | 9.57470i | −0.615590 | − | 0.313967i | ||||
\(931\) | −34.2625 | + | 47.1583i | −1.12291 | + | 1.54555i | ||||
\(932\) | −37.4040 | + | 24.7801i | −1.22521 | + | 0.811701i | ||||
\(933\) | −20.6973 | + | 3.27814i | −0.677600 | + | 0.107321i | ||||
\(934\) | −17.0164 | − | 43.7300i | −0.556794 | − | 1.43089i | ||||
\(935\) | 0.444341 | + | 0.691733i | 0.0145315 | + | 0.0226221i | ||||
\(936\) | 10.2716 | − | 10.5576i | 0.335737 | − | 0.345086i | ||||
\(937\) | −11.2624 | + | 5.73850i | −0.367928 | + | 0.187469i | −0.628172 | − | 0.778074i | \(-0.716197\pi\) |
0.260245 | + | 0.965543i | \(0.416197\pi\) | |||||||
\(938\) | −28.3498 | − | 12.4670i | −0.925655 | − | 0.407062i | ||||
\(939\) | −4.62903 | − | 14.2467i | −0.151063 | − | 0.464923i | ||||
\(940\) | −8.47102 | − | 21.7950i | −0.276294 | − | 0.710876i | ||||
\(941\) | −7.99323 | + | 24.6006i | −0.260572 | + | 0.801958i | 0.732109 | + | 0.681188i | \(0.238536\pi\) |
−0.992681 | + | 0.120770i | \(0.961464\pi\) | |||||||
\(942\) | 7.38949 | − | 8.28278i | 0.240763 | − | 0.269868i | ||||
\(943\) | 15.5186 | + | 15.5186i | 0.505355 | + | 0.505355i | ||||
\(944\) | 8.84726 | + | 14.6959i | 0.287954 | + | 0.478310i | ||||
\(945\) | −10.7196 | + | 4.70894i | −0.348709 | + | 0.153182i | ||||
\(946\) | 0.0570611 | − | 0.216921i | 0.00185522 | − | 0.00705272i | ||||
\(947\) | 5.77847 | − | 36.4839i | 0.187775 | − | 1.18557i | −0.696136 | − | 0.717910i | \(-0.745099\pi\) |
0.883911 | − | 0.467656i | \(-0.154901\pi\) | |||||||
\(948\) | −11.0356 | + | 13.8858i | −0.358419 | + | 0.450990i | ||||
\(949\) | − | 70.2701i | − | 2.28106i | ||||||
\(950\) | 4.30335 | − | 19.7241i | 0.139619 | − | 0.639936i | ||||
\(951\) | − | 0.670426i | − | 0.0217401i | ||||||
\(952\) | 0.201943 | + | 14.7072i | 0.00654501 | + | 0.476664i | ||||
\(953\) | −9.06104 | + | 57.2092i | −0.293516 | + | 1.85319i | 0.195226 | + | 0.980758i | \(0.437456\pi\) |
−0.488742 | + | 0.872429i | \(0.662544\pi\) | |||||||
\(954\) | −5.99247 | − | 1.57632i | −0.194013 | − | 0.0510352i | ||||
\(955\) | −34.8210 | − | 7.58264i | −1.12678 | − | 0.245368i | ||||
\(956\) | 38.6730 | + | 42.1681i | 1.25077 | + | 1.36381i | ||||
\(957\) | 0.427417 | + | 0.427417i | 0.0138164 | + | 0.0138164i | ||||
\(958\) | 31.3860 | + | 28.0010i | 1.01404 | + | 0.904673i | ||||
\(959\) | −16.7234 | + | 51.4694i | −0.540028 | + | 1.66203i | ||||
\(960\) | 6.03356 | − | 16.8403i | 0.194732 | − | 0.543519i | ||||
\(961\) | −4.14388 | − | 12.7536i | −0.133674 | − | 0.411405i | ||||
\(962\) | 12.5802 | − | 28.6072i | 0.405601 | − | 0.922333i | ||||
\(963\) | −0.301332 | + | 0.153536i | −0.00971028 | + | 0.00494764i | ||||
\(964\) | 0.255794 | + | 2.23659i | 0.00823858 | + | 0.0720358i | ||||
\(965\) | 13.4400 | − | 16.4292i | 0.432648 | − | 0.528875i | ||||
\(966\) | 48.8015 | − | 18.9898i | 1.57016 | − | 0.610988i | ||||
\(967\) | 33.4802 | − | 5.30275i | 1.07665 | − | 0.170525i | 0.407169 | − | 0.913353i | \(-0.366516\pi\) |
0.669483 | + | 0.742828i | \(0.266516\pi\) | |||||||
\(968\) | 29.3489 | + | 9.09247i | 0.943308 | + | 0.292243i | ||||
\(969\) | 1.66666 | − | 2.29396i | 0.0535409 | − | 0.0736927i | ||||
\(970\) | 5.45136 | + | 34.5073i | 0.175033 | + | 1.10796i | ||||
\(971\) | 10.9548 | + | 15.0779i | 0.351555 | + | 0.483874i | 0.947772 | − | 0.318950i | \(-0.103330\pi\) |
−0.596217 | + | 0.802824i | \(0.703330\pi\) | |||||||
\(972\) | 1.87364 | + | 0.699615i | 0.0600971 | + | 0.0224402i | ||||
\(973\) | 1.10370 | + | 0.562364i | 0.0353831 | + | 0.0180286i | ||||
\(974\) | −42.0887 | + | 34.4029i | −1.34861 | + | 1.10234i | ||||
\(975\) | −12.7945 | − | 22.6788i | −0.409752 | − | 0.726302i | ||||
\(976\) | −31.7776 | − | 13.4568i | −1.01718 | − | 0.430741i | ||||
\(977\) | 8.13469 | − | 15.9652i | 0.260252 | − | 0.510773i | −0.723496 | − | 0.690329i | \(-0.757466\pi\) |
0.983748 | + | 0.179556i | \(0.0574659\pi\) | |||||||
\(978\) | 6.80051 | + | 11.6553i | 0.217456 | + | 0.372696i | ||||
\(979\) | 3.81564 | − | 2.77223i | 0.121949 | − | 0.0886008i | ||||
\(980\) | 45.9837 | + | 78.8828i | 1.46889 | + | 2.51982i | ||||
\(981\) | 9.72135 | + | 7.06297i | 0.310379 | + | 0.225503i | ||||
\(982\) | 0.749394 | − | 7.45820i | 0.0239141 | − | 0.238001i | ||||
\(983\) | −4.38634 | − | 27.6943i | −0.139903 | − | 0.883310i | −0.953393 | − | 0.301732i | \(-0.902435\pi\) |
0.813490 | − | 0.581579i | \(-0.197565\pi\) | |||||||
\(984\) | 8.65009 | − | 1.49206i | 0.275755 | − | 0.0475650i | ||||
\(985\) | −45.4608 | − | 2.60930i | −1.44850 | − | 0.0831391i | ||||
\(986\) | 1.92898 | + | 1.24018i | 0.0614311 | + | 0.0394953i | ||||
\(987\) | −12.4293 | − | 24.3940i | −0.395630 | − | 0.776468i | ||||
\(988\) | 7.95903 | + | 28.6519i | 0.253211 | + | 0.911537i | ||||
\(989\) | −2.88137 | + | 0.936213i | −0.0916221 | + | 0.0297698i | ||||
\(990\) | −0.361327 | − | 1.11355i | −0.0114837 | − | 0.0353911i | ||||
\(991\) | −27.0318 | − | 8.78317i | −0.858694 | − | 0.279007i | −0.153611 | − | 0.988131i | \(-0.549090\pi\) |
−0.705083 | + | 0.709125i | \(0.749090\pi\) | |||||||
\(992\) | 34.0787 | − | 16.1170i | 1.08200 | − | 0.511716i | ||||
\(993\) | −20.9769 | + | 20.9769i | −0.665682 | + | 0.665682i | ||||
\(994\) | −2.68077 | − | 47.0325i | −0.0850288 | − | 1.49178i | ||||
\(995\) | −10.3218 | + | 1.03298i | −0.327222 | + | 0.0327477i | ||||
\(996\) | 5.70475 | + | 12.5038i | 0.180762 | + | 0.396198i | ||||
\(997\) | −34.1418 | − | 5.40753i | −1.08128 | − | 0.171258i | −0.409724 | − | 0.912210i | \(-0.634375\pi\) |
−0.671559 | + | 0.740951i | \(0.734375\pi\) | |||||||
\(998\) | −7.32524 | − | 33.7033i | −0.231877 | − | 1.06686i | ||||
\(999\) | 4.24324 | 0.134250 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.w.a.67.18 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.13 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.5 | ✓ | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.26 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.5 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.26 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.18 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.13 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.5 | ✓ | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.67.18 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.103.5 | yes | 240 | 25.3 | odd | 20 | inner | |
300.2.w.a.103.18 | yes | 240 | 100.3 | even | 20 | inner | |
900.2.bj.f.667.13 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.667.26 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.703.13 | 240 | 300.203 | odd | 20 | |||
900.2.bj.f.703.26 | 240 | 75.53 | even | 20 |