Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(251,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.g (of order \(2\), degree \(1\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.3 | ||
Root | \(-0.599676 - 1.28078i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.251 |
Dual form | 700.2.g.j.251.1 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28078 | + | 0.599676i | −0.905646 | + | 0.424035i | ||||
\(3\) | −0.936426 | −0.540646 | −0.270323 | − | 0.962770i | \(-0.587130\pi\) | ||||
−0.270323 | + | 0.962770i | \(0.587130\pi\) | |||||||
\(4\) | 1.28078 | − | 1.53610i | 0.640388 | − | 0.768051i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.19935 | − | 0.561553i | 0.489634 | − | 0.229253i | ||||
\(7\) | 2.60399 | − | 0.468213i | 0.984217 | − | 0.176968i | ||||
\(8\) | −0.719224 | + | 2.73546i | −0.254284 | + | 0.967130i | ||||
\(9\) | −2.12311 | −0.707702 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.39871i | 0.723237i | 0.932326 | + | 0.361618i | \(0.117776\pi\) | ||||
−0.932326 | + | 0.361618i | \(0.882224\pi\) | |||||||
\(12\) | −1.19935 | + | 1.43845i | −0.346223 | + | 0.415244i | ||||
\(13\) | − | 2.00000i | − | 0.554700i | −0.960769 | − | 0.277350i | \(-0.910544\pi\) | ||
0.960769 | − | 0.277350i | \(-0.0894562\pi\) | |||||||
\(14\) | −3.05436 | + | 2.16123i | −0.816311 | + | 0.577613i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.719224 | − | 3.93481i | −0.179806 | − | 0.983702i | ||||
\(17\) | 7.12311i | 1.72761i | 0.503829 | + | 0.863803i | \(0.331924\pi\) | ||||
−0.503829 | + | 0.863803i | \(0.668076\pi\) | |||||||
\(18\) | 2.71922 | − | 1.27318i | 0.640927 | − | 0.300091i | ||||
\(19\) | 2.39871 | 0.550301 | 0.275150 | − | 0.961401i | \(-0.411272\pi\) | ||||
0.275150 | + | 0.961401i | \(0.411272\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.43845 | + | 0.438447i | −0.532113 | + | 0.0956770i | ||||
\(22\) | −1.43845 | − | 3.07221i | −0.306678 | − | 0.654996i | ||||
\(23\) | − | 5.73384i | − | 1.19559i | −0.801650 | − | 0.597794i | \(-0.796044\pi\) | ||
0.801650 | − | 0.597794i | \(-0.203956\pi\) | |||||||
\(24\) | 0.673500 | − | 2.56155i | 0.137478 | − | 0.522875i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.19935 | + | 2.56155i | 0.235212 | + | 0.502362i | ||||
\(27\) | 4.79741 | 0.923262 | ||||||||
\(28\) | 2.61591 | − | 4.59968i | 0.494360 | − | 0.869257i | ||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.67026 | 1.19801 | 0.599007 | − | 0.800743i | \(-0.295562\pi\) | ||||
0.599007 | + | 0.800743i | \(0.295562\pi\) | |||||||
\(32\) | 3.28078 | + | 4.60831i | 0.579965 | + | 0.814642i | ||||
\(33\) | − | 2.24621i | − | 0.391015i | ||||||
\(34\) | −4.27156 | − | 9.12311i | −0.732566 | − | 1.56460i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.71922 | + | 3.26131i | −0.453204 | + | 0.543551i | ||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | −3.07221 | + | 1.43845i | −0.498378 | + | 0.233347i | ||||
\(39\) | 1.87285i | 0.299896i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.12311i | 1.11244i | 0.831034 | + | 0.556221i | \(0.187749\pi\) | ||||
−0.831034 | + | 0.556221i | \(0.812251\pi\) | |||||||
\(42\) | 2.86018 | − | 2.02383i | 0.441335 | − | 0.312284i | ||||
\(43\) | 7.60669i | 1.16001i | 0.814613 | + | 0.580005i | \(0.196949\pi\) | ||||
−0.814613 | + | 0.580005i | \(0.803051\pi\) | |||||||
\(44\) | 3.68466 | + | 3.07221i | 0.555483 | + | 0.463152i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.43845 | + | 7.34376i | 0.506971 | + | 1.08278i | ||||
\(47\) | 10.0054 | 1.45944 | 0.729719 | − | 0.683748i | \(-0.239651\pi\) | ||||
0.729719 | + | 0.683748i | \(0.239651\pi\) | |||||||
\(48\) | 0.673500 | + | 3.68466i | 0.0972113 | + | 0.531835i | ||||
\(49\) | 6.56155 | − | 2.43845i | 0.937365 | − | 0.348350i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 6.67026i | − | 0.934024i | ||||||
\(52\) | −3.07221 | − | 2.56155i | −0.426038 | − | 0.355223i | ||||
\(53\) | −2.00000 | −0.274721 | −0.137361 | − | 0.990521i | \(-0.543862\pi\) | ||||
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(54\) | −6.14441 | + | 2.87689i | −0.836148 | + | 0.391496i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.592076 | + | 7.45986i | −0.0791195 | + | 0.996865i | ||||
\(57\) | −2.24621 | −0.297518 | ||||||||
\(58\) | 2.56155 | − | 1.19935i | 0.336348 | − | 0.157483i | ||||
\(59\) | 10.9418 | 1.42450 | 0.712252 | − | 0.701924i | \(-0.247675\pi\) | ||||
0.712252 | + | 0.701924i | \(0.247675\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.00000i | 0.256074i | 0.991769 | + | 0.128037i | \(0.0408676\pi\) | ||||
−0.991769 | + | 0.128037i | \(0.959132\pi\) | |||||||
\(62\) | −8.54312 | + | 4.00000i | −1.08498 | + | 0.508001i | ||||
\(63\) | −5.52855 | + | 0.994066i | −0.696532 | + | 0.125241i | ||||
\(64\) | −6.96543 | − | 3.93481i | −0.870679 | − | 0.491851i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.34700 | + | 2.87689i | 0.165804 | + | 0.354121i | ||||
\(67\) | 14.2770i | 1.74421i | 0.489321 | + | 0.872104i | \(0.337245\pi\) | ||||
−0.489321 | + | 0.872104i | \(0.662755\pi\) | |||||||
\(68\) | 10.9418 | + | 9.12311i | 1.32689 | + | 1.10634i | ||||
\(69\) | 5.36932i | 0.646390i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.14441i | 0.729207i | 0.931163 | + | 0.364604i | \(0.118796\pi\) | ||||
−0.931163 | + | 0.364604i | \(0.881204\pi\) | |||||||
\(72\) | 1.52699 | − | 5.80766i | 0.179957 | − | 0.684439i | ||||
\(73\) | 9.36932i | 1.09660i | 0.836283 | + | 0.548298i | \(0.184724\pi\) | ||||
−0.836283 | + | 0.548298i | \(0.815276\pi\) | |||||||
\(74\) | 2.56155 | − | 1.19935i | 0.297774 | − | 0.139422i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.07221 | − | 3.68466i | 0.352406 | − | 0.422659i | ||||
\(77\) | 1.12311 | + | 6.24621i | 0.127990 | + | 0.711822i | ||||
\(78\) | −1.12311 | − | 2.39871i | −0.127167 | − | 0.271600i | ||||
\(79\) | − | 4.27156i | − | 0.480588i | −0.970700 | − | 0.240294i | \(-0.922756\pi\) | ||
0.970700 | − | 0.240294i | \(-0.0772438\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.87689 | 0.208544 | ||||||||
\(82\) | −4.27156 | − | 9.12311i | −0.471715 | − | 1.00748i | ||||
\(83\) | −0.936426 | −0.102786 | −0.0513931 | − | 0.998679i | \(-0.516366\pi\) | ||||
−0.0513931 | + | 0.998679i | \(0.516366\pi\) | |||||||
\(84\) | −2.44961 | + | 4.30726i | −0.267274 | + | 0.469960i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −4.56155 | − | 9.74247i | −0.491885 | − | 1.05056i | ||||
\(87\) | 1.87285 | 0.200791 | ||||||||
\(88\) | −6.56155 | − | 1.72521i | −0.699464 | − | 0.183908i | ||||
\(89\) | 12.0000i | 1.27200i | 0.771690 | + | 0.635999i | \(0.219412\pi\) | ||||
−0.771690 | + | 0.635999i | \(0.780588\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.936426 | − | 5.20798i | −0.0981642 | − | 0.545945i | ||||
\(92\) | −8.80776 | − | 7.34376i | −0.918273 | − | 0.765640i | ||||
\(93\) | −6.24621 | −0.647702 | ||||||||
\(94\) | −12.8147 | + | 6.00000i | −1.32173 | + | 0.618853i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.07221 | − | 4.31534i | −0.313556 | − | 0.440433i | ||||
\(97\) | − | 7.12311i | − | 0.723242i | −0.932325 | − | 0.361621i | \(-0.882223\pi\) | ||
0.932325 | − | 0.361621i | \(-0.117777\pi\) | |||||||
\(98\) | −6.94160 | + | 7.05791i | −0.701208 | + | 0.712957i | ||||
\(99\) | − | 5.09271i | − | 0.511836i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 6.87689i | − | 0.684277i | −0.939650 | − | 0.342138i | \(-0.888849\pi\) | ||
0.939650 | − | 0.342138i | \(-0.111151\pi\) | |||||||
\(102\) | 4.00000 | + | 8.54312i | 0.396059 | + | 0.845895i | ||||
\(103\) | −1.46228 | −0.144083 | −0.0720413 | − | 0.997402i | \(-0.522951\pi\) | ||||
−0.0720413 | + | 0.997402i | \(0.522951\pi\) | |||||||
\(104\) | 5.47091 | + | 1.43845i | 0.536467 | + | 0.141051i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.56155 | − | 1.19935i | 0.248800 | − | 0.116491i | ||||
\(107\) | − | 9.47954i | − | 0.916422i | −0.888843 | − | 0.458211i | \(-0.848490\pi\) | ||
0.888843 | − | 0.458211i | \(-0.151510\pi\) | |||||||
\(108\) | 6.14441 | − | 7.36932i | 0.591246 | − | 0.709113i | ||||
\(109\) | 1.12311 | 0.107574 | 0.0537870 | − | 0.998552i | \(-0.482871\pi\) | ||||
0.0537870 | + | 0.998552i | \(0.482871\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.87285 | 0.177763 | ||||||||
\(112\) | −3.71518 | − | 9.90946i | −0.351052 | − | 0.936356i | ||||
\(113\) | 14.4924 | 1.36333 | 0.681666 | − | 0.731663i | \(-0.261256\pi\) | ||||
0.681666 | + | 0.731663i | \(0.261256\pi\) | |||||||
\(114\) | 2.87689 | − | 1.34700i | 0.269446 | − | 0.126158i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.56155 | + | 3.07221i | −0.237834 | + | 0.285247i | ||||
\(117\) | 4.24621i | 0.392562i | ||||||||
\(118\) | −14.0140 | + | 6.56155i | −1.29010 | + | 0.604040i | ||||
\(119\) | 3.33513 | + | 18.5485i | 0.305731 | + | 1.70034i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.24621 | 0.476928 | ||||||||
\(122\) | −1.19935 | − | 2.56155i | −0.108584 | − | 0.231912i | ||||
\(123\) | − | 6.67026i | − | 0.601437i | ||||||
\(124\) | 8.54312 | − | 10.2462i | 0.767195 | − | 0.920137i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 6.48472 | − | 4.58852i | 0.577705 | − | 0.408778i | ||||
\(127\) | − | 13.2252i | − | 1.17355i | −0.809750 | − | 0.586776i | \(-0.800397\pi\) | ||
0.809750 | − | 0.586776i | \(-0.199603\pi\) | |||||||
\(128\) | 11.2808 | + | 0.862603i | 0.997089 | + | 0.0762440i | ||||
\(129\) | − | 7.12311i | − | 0.627154i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.8664 | −1.21151 | −0.605756 | − | 0.795651i | \(-0.707129\pi\) | ||||
−0.605756 | + | 0.795651i | \(0.707129\pi\) | |||||||
\(132\) | −3.45041 | − | 2.87689i | −0.300320 | − | 0.250402i | ||||
\(133\) | 6.24621 | − | 1.12311i | 0.541615 | − | 0.0973856i | ||||
\(134\) | −8.56155 | − | 18.2856i | −0.739606 | − | 1.57963i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −19.4849 | − | 5.12311i | −1.67082 | − | 0.439303i | ||||
\(137\) | 14.0000 | 1.19610 | 0.598050 | − | 0.801459i | \(-0.295942\pi\) | ||||
0.598050 | + | 0.801459i | \(0.295942\pi\) | |||||||
\(138\) | −3.21985 | − | 6.87689i | −0.274092 | − | 0.585400i | ||||
\(139\) | 1.34700 | 0.114251 | 0.0571255 | − | 0.998367i | \(-0.481806\pi\) | ||||
0.0571255 | + | 0.998367i | \(0.481806\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.36932 | −0.789039 | ||||||||
\(142\) | −3.68466 | − | 7.86962i | −0.309210 | − | 0.660404i | ||||
\(143\) | 4.79741 | 0.401180 | ||||||||
\(144\) | 1.52699 | + | 8.35401i | 0.127249 | + | 0.696168i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −5.61856 | − | 12.0000i | −0.464995 | − | 0.993127i | ||||
\(147\) | −6.14441 | + | 2.28343i | −0.506782 | + | 0.188334i | ||||
\(148\) | −2.56155 | + | 3.07221i | −0.210558 | + | 0.252534i | ||||
\(149\) | −19.3693 | −1.58680 | −0.793398 | − | 0.608703i | \(-0.791690\pi\) | ||||
−0.793398 | + | 0.608703i | \(0.791690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.6875i | 1.19525i | 0.801774 | + | 0.597627i | \(0.203890\pi\) | ||||
−0.801774 | + | 0.597627i | \(0.796110\pi\) | |||||||
\(152\) | −1.72521 | + | 6.56155i | −0.139933 | + | 0.532212i | ||||
\(153\) | − | 15.1231i | − | 1.22263i | ||||||
\(154\) | −5.18415 | − | 7.32650i | −0.417751 | − | 0.590386i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.87689 | + | 2.39871i | 0.230336 | + | 0.192050i | ||||
\(157\) | − | 16.2462i | − | 1.29659i | −0.761390 | − | 0.648294i | \(-0.775483\pi\) | ||
0.761390 | − | 0.648294i | \(-0.224517\pi\) | |||||||
\(158\) | 2.56155 | + | 5.47091i | 0.203786 | + | 0.435242i | ||||
\(159\) | 1.87285 | 0.148527 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.68466 | − | 14.9309i | −0.211581 | − | 1.17672i | ||||
\(162\) | −2.40388 | + | 1.12553i | −0.188867 | + | 0.0884299i | ||||
\(163\) | 0.936426i | 0.0733466i | 0.999327 | + | 0.0366733i | \(0.0116761\pi\) | ||||
−0.999327 | + | 0.0366733i | \(0.988324\pi\) | |||||||
\(164\) | 10.9418 | + | 9.12311i | 0.854413 | + | 0.712395i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.19935 | − | 0.561553i | 0.0930878 | − | 0.0435850i | ||||
\(167\) | 2.28343 | 0.176697 | 0.0883484 | − | 0.996090i | \(-0.471841\pi\) | ||||
0.0883484 | + | 0.996090i | \(0.471841\pi\) | |||||||
\(168\) | 0.554436 | − | 6.98561i | 0.0427757 | − | 0.538951i | ||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.09271 | −0.389449 | ||||||||
\(172\) | 11.6847 | + | 9.74247i | 0.890947 | + | 0.742856i | ||||
\(173\) | − | 0.246211i | − | 0.0187191i | −0.999956 | − | 0.00935955i | \(-0.997021\pi\) | ||
0.999956 | − | 0.00935955i | \(-0.00297928\pi\) | |||||||
\(174\) | −2.39871 | + | 1.12311i | −0.181845 | + | 0.0851424i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.43845 | − | 1.72521i | 0.711450 | − | 0.130042i | ||||
\(177\) | −10.2462 | −0.770152 | ||||||||
\(178\) | −7.19612 | − | 15.3693i | −0.539372 | − | 1.15198i | ||||
\(179\) | − | 0.525853i | − | 0.0393041i | −0.999807 | − | 0.0196520i | \(-0.993744\pi\) | ||
0.999807 | − | 0.0196520i | \(-0.00625584\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 6.87689i | − | 0.511156i | −0.966789 | − | 0.255578i | \(-0.917734\pi\) | ||
0.966789 | − | 0.255578i | \(-0.0822657\pi\) | |||||||
\(182\) | 4.32246 | + | 6.10871i | 0.320402 | + | 0.452808i | ||||
\(183\) | − | 1.87285i | − | 0.138445i | ||||||
\(184\) | 15.6847 | + | 4.12391i | 1.15629 | + | 0.304019i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 8.00000 | − | 3.74571i | 0.586588 | − | 0.274648i | ||||
\(187\) | −17.0862 | −1.24947 | ||||||||
\(188\) | 12.8147 | − | 15.3693i | 0.934606 | − | 1.12092i | ||||
\(189\) | 12.4924 | − | 2.24621i | 0.908690 | − | 0.163388i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 1.34700i | − | 0.0974655i | −0.998812 | − | 0.0487327i | \(-0.984482\pi\) | ||
0.998812 | − | 0.0487327i | \(-0.0155183\pi\) | |||||||
\(192\) | 6.52262 | + | 3.68466i | 0.470729 | + | 0.265917i | ||||
\(193\) | −10.4924 | −0.755261 | −0.377631 | − | 0.925956i | \(-0.623261\pi\) | ||||
−0.377631 | + | 0.925956i | \(0.623261\pi\) | |||||||
\(194\) | 4.27156 | + | 9.12311i | 0.306680 | + | 0.655001i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.65818 | − | 13.2023i | 0.332727 | − | 0.943023i | ||||
\(197\) | −18.0000 | −1.28245 | −0.641223 | − | 0.767354i | \(-0.721573\pi\) | ||||
−0.641223 | + | 0.767354i | \(0.721573\pi\) | |||||||
\(198\) | 3.05398 | + | 6.52262i | 0.217037 | + | 0.463542i | ||||
\(199\) | −16.0345 | −1.13666 | −0.568329 | − | 0.822802i | \(-0.692410\pi\) | ||||
−0.568329 | + | 0.822802i | \(0.692410\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 13.3693i | − | 0.942999i | ||||||
\(202\) | 4.12391 | + | 8.80776i | 0.290157 | + | 0.619712i | ||||
\(203\) | −5.20798 | + | 0.936426i | −0.365529 | + | 0.0657242i | ||||
\(204\) | −10.2462 | − | 8.54312i | −0.717378 | − | 0.598138i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.87285 | − | 0.876894i | 0.130488 | − | 0.0610961i | ||||
\(207\) | 12.1735i | 0.846120i | ||||||||
\(208\) | −7.86962 | + | 1.43845i | −0.545660 | + | 0.0997384i | ||||
\(209\) | 5.75379i | 0.397998i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 18.4332i | − | 1.26900i | −0.772924 | − | 0.634498i | \(-0.781207\pi\) | ||
0.772924 | − | 0.634498i | \(-0.218793\pi\) | |||||||
\(212\) | −2.56155 | + | 3.07221i | −0.175928 | + | 0.211000i | ||||
\(213\) | − | 5.75379i | − | 0.394243i | ||||||
\(214\) | 5.68466 | + | 12.1412i | 0.388595 | + | 0.829954i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.45041 | + | 13.1231i | −0.234771 | + | 0.892914i | ||||
\(217\) | 17.3693 | − | 3.12311i | 1.17911 | − | 0.212010i | ||||
\(218\) | −1.43845 | + | 0.673500i | −0.0974239 | + | 0.0456152i | ||||
\(219\) | − | 8.77368i | − | 0.592870i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.2462 | 0.958304 | ||||||||
\(222\) | −2.39871 | + | 1.12311i | −0.160991 | + | 0.0753779i | ||||
\(223\) | 12.9300 | 0.865854 | 0.432927 | − | 0.901429i | \(-0.357481\pi\) | ||||
0.432927 | + | 0.901429i | \(0.357481\pi\) | |||||||
\(224\) | 10.7008 | + | 10.4639i | 0.714976 | + | 0.699149i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.5616 | + | 8.69076i | −1.23470 | + | 0.578101i | ||||
\(227\) | −14.2770 | −0.947595 | −0.473797 | − | 0.880634i | \(-0.657117\pi\) | ||||
−0.473797 | + | 0.880634i | \(0.657117\pi\) | |||||||
\(228\) | −2.87689 | + | 3.45041i | −0.190527 | + | 0.228509i | ||||
\(229\) | − | 21.1231i | − | 1.39585i | −0.716169 | − | 0.697927i | \(-0.754106\pi\) | ||
0.716169 | − | 0.697927i | \(-0.245894\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.05171 | − | 5.84912i | −0.0691972 | − | 0.384844i | ||||
\(232\) | 1.43845 | − | 5.47091i | 0.0944387 | − | 0.359183i | ||||
\(233\) | −24.2462 | −1.58842 | −0.794211 | − | 0.607642i | \(-0.792116\pi\) | ||||
−0.794211 | + | 0.607642i | \(0.792116\pi\) | |||||||
\(234\) | −2.54635 | − | 5.43845i | −0.166460 | − | 0.355522i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 14.0140 | − | 16.8078i | 0.912236 | − | 1.09409i | ||||
\(237\) | 4.00000i | 0.259828i | ||||||||
\(238\) | −15.3947 | − | 21.7565i | −0.997888 | − | 1.41026i | ||||
\(239\) | − | 12.8147i | − | 0.828912i | −0.910069 | − | 0.414456i | \(-0.863972\pi\) | ||
0.910069 | − | 0.414456i | \(-0.136028\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.6155i | 1.00588i | 0.864320 | + | 0.502942i | \(0.167749\pi\) | ||||
−0.864320 | + | 0.502942i | \(0.832251\pi\) | |||||||
\(242\) | −6.71922 | + | 3.14603i | −0.431928 | + | 0.202234i | ||||
\(243\) | −16.1498 | −1.03601 | ||||||||
\(244\) | 3.07221 | + | 2.56155i | 0.196678 | + | 0.163987i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.00000 | + | 8.54312i | 0.255031 | + | 0.544689i | ||||
\(247\) | − | 4.79741i | − | 0.305252i | ||||||
\(248\) | −4.79741 | + | 18.2462i | −0.304636 | + | 1.15864i | ||||
\(249\) | 0.876894 | 0.0555709 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.5604 | −1.04528 | −0.522641 | − | 0.852553i | \(-0.675053\pi\) | ||||
−0.522641 | + | 0.852553i | \(0.675053\pi\) | |||||||
\(252\) | −5.55385 | + | 9.76560i | −0.349860 | + | 0.615175i | ||||
\(253\) | 13.7538 | 0.864693 | ||||||||
\(254\) | 7.93087 | + | 16.9386i | 0.497627 | + | 1.06282i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.9654 | + | 5.66001i | −0.935340 | + | 0.353751i | ||||
\(257\) | − | 13.3693i | − | 0.833955i | −0.908917 | − | 0.416978i | \(-0.863089\pi\) | ||
0.908917 | − | 0.416978i | \(-0.136911\pi\) | |||||||
\(258\) | 4.27156 | + | 9.12311i | 0.265936 | + | 0.567980i | ||||
\(259\) | −5.20798 | + | 0.936426i | −0.323608 | + | 0.0581867i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.24621 | 0.262834 | ||||||||
\(262\) | 17.7597 | − | 8.31534i | 1.09720 | − | 0.513724i | ||||
\(263\) | 1.98813i | 0.122593i | 0.998120 | + | 0.0612967i | \(0.0195236\pi\) | ||||
−0.998120 | + | 0.0612967i | \(0.980476\pi\) | |||||||
\(264\) | 6.14441 | + | 1.61553i | 0.378162 | + | 0.0994289i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −7.32650 | + | 5.18415i | −0.449217 | + | 0.317861i | ||||
\(267\) | − | 11.2371i | − | 0.687700i | ||||||
\(268\) | 21.9309 | + | 18.2856i | 1.33964 | + | 1.11697i | ||||
\(269\) | 16.2462i | 0.990549i | 0.868737 | + | 0.495274i | \(0.164933\pi\) | ||||
−0.868737 | + | 0.495274i | \(0.835067\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.7565 | 1.44310 | 0.721552 | − | 0.692360i | \(-0.243429\pi\) | ||||
0.721552 | + | 0.692360i | \(0.243429\pi\) | |||||||
\(272\) | 28.0281 | − | 5.12311i | 1.69945 | − | 0.310634i | ||||
\(273\) | 0.876894 | + | 4.87689i | 0.0530721 | + | 0.295163i | ||||
\(274\) | −17.9309 | + | 8.39547i | −1.08324 | + | 0.507189i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.24782 | + | 6.87689i | 0.496461 | + | 0.413940i | ||||
\(277\) | 4.24621 | 0.255130 | 0.127565 | − | 0.991830i | \(-0.459284\pi\) | ||||
0.127565 | + | 0.991830i | \(0.459284\pi\) | |||||||
\(278\) | −1.72521 | + | 0.807764i | −0.103471 | + | 0.0484465i | ||||
\(279\) | −14.1617 | −0.847837 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.63068 | −0.276243 | −0.138122 | − | 0.990415i | \(-0.544107\pi\) | ||||
−0.138122 | + | 0.990415i | \(0.544107\pi\) | |||||||
\(282\) | 12.0000 | − | 5.61856i | 0.714590 | − | 0.334580i | ||||
\(283\) | 24.6929 | 1.46784 | 0.733921 | − | 0.679235i | \(-0.237688\pi\) | ||||
0.733921 | + | 0.679235i | \(0.237688\pi\) | |||||||
\(284\) | 9.43845 | + | 7.86962i | 0.560069 | + | 0.466976i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.14441 | + | 2.87689i | −0.363327 | + | 0.170114i | ||||
\(287\) | 3.33513 | + | 18.5485i | 0.196867 | + | 1.09488i | ||||
\(288\) | −6.96543 | − | 9.78393i | −0.410442 | − | 0.576523i | ||||
\(289\) | −33.7386 | −1.98463 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.67026i | 0.391018i | ||||||||
\(292\) | 14.3922 | + | 12.0000i | 0.842242 | + | 0.702247i | ||||
\(293\) | 32.2462i | 1.88384i | 0.335832 | + | 0.941922i | \(0.390983\pi\) | ||||
−0.335832 | + | 0.941922i | \(0.609017\pi\) | |||||||
\(294\) | 6.50030 | − | 6.60922i | 0.379105 | − | 0.385457i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.43845 | − | 5.47091i | 0.0836080 | − | 0.317990i | ||||
\(297\) | 11.5076i | 0.667737i | ||||||||
\(298\) | 24.8078 | − | 11.6153i | 1.43708 | − | 0.672858i | ||||
\(299\) | −11.4677 | −0.663193 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.56155 | + | 19.8078i | 0.205284 | + | 1.14170i | ||||
\(302\) | −8.80776 | − | 18.8114i | −0.506830 | − | 1.08248i | ||||
\(303\) | 6.43971i | 0.369951i | ||||||||
\(304\) | −1.72521 | − | 9.43845i | −0.0989473 | − | 0.541332i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.06897 | + | 19.3693i | 0.518438 | + | 1.10727i | ||||
\(307\) | −31.3632 | −1.78999 | −0.894996 | − | 0.446074i | \(-0.852822\pi\) | ||||
−0.894996 | + | 0.446074i | \(0.852822\pi\) | |||||||
\(308\) | 11.0333 | + | 6.27479i | 0.628679 | + | 0.357540i | ||||
\(309\) | 1.36932 | 0.0778977 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.36426 | 0.530999 | 0.265499 | − | 0.964111i | \(-0.414463\pi\) | ||||
0.265499 | + | 0.964111i | \(0.414463\pi\) | |||||||
\(312\) | −5.12311 | − | 1.34700i | −0.290039 | − | 0.0762589i | ||||
\(313\) | 7.61553i | 0.430455i | 0.976564 | + | 0.215228i | \(0.0690493\pi\) | ||||
−0.976564 | + | 0.215228i | \(0.930951\pi\) | |||||||
\(314\) | 9.74247 | + | 20.8078i | 0.549799 | + | 1.17425i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.56155 | − | 5.47091i | −0.369116 | − | 0.307763i | ||||
\(317\) | 4.24621 | 0.238491 | 0.119245 | − | 0.992865i | \(-0.461952\pi\) | ||||
0.119245 | + | 0.992865i | \(0.461952\pi\) | |||||||
\(318\) | −2.39871 | + | 1.12311i | −0.134513 | + | 0.0629806i | ||||
\(319\) | − | 4.79741i | − | 0.268603i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.87689i | 0.495460i | ||||||||
\(322\) | 12.3921 | + | 17.5132i | 0.690587 | + | 0.975971i | ||||
\(323\) | 17.0862i | 0.950703i | ||||||||
\(324\) | 2.40388 | − | 2.88310i | 0.133549 | − | 0.160172i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −0.561553 | − | 1.19935i | −0.0311015 | − | 0.0664260i | ||||
\(327\) | −1.05171 | −0.0581595 | ||||||||
\(328\) | −19.4849 | − | 5.12311i | −1.07588 | − | 0.282876i | ||||
\(329\) | 26.0540 | − | 4.68466i | 1.43640 | − | 0.258274i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.0798i | 1.59837i | 0.601086 | + | 0.799184i | \(0.294735\pi\) | ||||
−0.601086 | + | 0.799184i | \(0.705265\pi\) | |||||||
\(332\) | −1.19935 | + | 1.43845i | −0.0658230 | + | 0.0789450i | ||||
\(333\) | 4.24621 | 0.232691 | ||||||||
\(334\) | −2.92456 | + | 1.36932i | −0.160025 | + | 0.0749257i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 3.47899 | + | 9.27948i | 0.189795 | + | 0.506237i | ||||
\(337\) | −4.24621 | −0.231306 | −0.115653 | − | 0.993290i | \(-0.536896\pi\) | ||||
−0.115653 | + | 0.993290i | \(0.536896\pi\) | |||||||
\(338\) | −11.5270 | + | 5.39709i | −0.626985 | + | 0.293563i | ||||
\(339\) | −13.5711 | −0.737080 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 16.0000i | 0.866449i | ||||||||
\(342\) | 6.52262 | − | 3.05398i | 0.352703 | − | 0.165140i | ||||
\(343\) | 15.9445 | − | 9.42190i | 0.860923 | − | 0.508735i | ||||
\(344\) | −20.8078 | − | 5.47091i | −1.12188 | − | 0.294972i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.147647 | + | 0.315342i | 0.00793756 | + | 0.0169529i | ||||
\(347\) | − | 9.47954i | − | 0.508889i | −0.967087 | − | 0.254444i | \(-0.918107\pi\) | ||
0.967087 | − | 0.254444i | \(-0.0818925\pi\) | |||||||
\(348\) | 2.39871 | − | 2.87689i | 0.128584 | − | 0.154218i | ||||
\(349\) | − | 27.8617i | − | 1.49140i | −0.666279 | − | 0.745702i | \(-0.732114\pi\) | ||
0.666279 | − | 0.745702i | \(-0.267886\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 9.59482i | − | 0.512134i | ||||||
\(352\) | −11.0540 | + | 7.86962i | −0.589179 | + | 0.419452i | ||||
\(353\) | − | 5.36932i | − | 0.285780i | −0.989739 | − | 0.142890i | \(-0.954361\pi\) | ||
0.989739 | − | 0.142890i | \(-0.0456395\pi\) | |||||||
\(354\) | 13.1231 | − | 6.14441i | 0.697485 | − | 0.326572i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 18.4332 | + | 15.3693i | 0.976959 | + | 0.814572i | ||||
\(357\) | −3.12311 | − | 17.3693i | −0.165292 | − | 0.919282i | ||||
\(358\) | 0.315342 | + | 0.673500i | 0.0166663 | + | 0.0355956i | ||||
\(359\) | − | 16.5604i | − | 0.874023i | −0.899456 | − | 0.437012i | \(-0.856037\pi\) | ||
0.899456 | − | 0.437012i | \(-0.143963\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.2462 | −0.697169 | ||||||||
\(362\) | 4.12391 | + | 8.80776i | 0.216748 | + | 0.462926i | ||||
\(363\) | −4.91269 | −0.257849 | ||||||||
\(364\) | −9.19935 | − | 5.23182i | −0.482177 | − | 0.274222i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.12311 | + | 2.39871i | 0.0587057 | + | 0.125382i | ||||
\(367\) | 7.08084 | 0.369617 | 0.184808 | − | 0.982775i | \(-0.440834\pi\) | ||||
0.184808 | + | 0.982775i | \(0.440834\pi\) | |||||||
\(368\) | −22.5616 | + | 4.12391i | −1.17610 | + | 0.214974i | ||||
\(369\) | − | 15.1231i | − | 0.787277i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.20798 | + | 0.936426i | −0.270385 | + | 0.0486168i | ||||
\(372\) | −8.00000 | + | 9.59482i | −0.414781 | + | 0.497468i | ||||
\(373\) | −22.4924 | −1.16461 | −0.582307 | − | 0.812969i | \(-0.697850\pi\) | ||||
−0.582307 | + | 0.812969i | \(0.697850\pi\) | |||||||
\(374\) | 21.8836 | − | 10.2462i | 1.13158 | − | 0.529819i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.19612 | + | 27.3693i | −0.371111 | + | 1.41146i | ||||
\(377\) | 4.00000i | 0.206010i | ||||||||
\(378\) | −14.6530 | + | 10.3683i | −0.753669 | + | 0.533288i | ||||
\(379\) | 22.4095i | 1.15110i | 0.817767 | + | 0.575549i | \(0.195212\pi\) | ||||
−0.817767 | + | 0.575549i | \(0.804788\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.3845i | 0.634476i | ||||||||
\(382\) | 0.807764 | + | 1.72521i | 0.0413288 | + | 0.0882692i | ||||
\(383\) | 17.4968 | 0.894045 | 0.447023 | − | 0.894523i | \(-0.352484\pi\) | ||||
0.447023 | + | 0.894523i | \(0.352484\pi\) | |||||||
\(384\) | −10.5636 | − | 0.807764i | −0.539072 | − | 0.0412210i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.4384 | − | 6.29206i | 0.683999 | − | 0.320257i | ||||
\(387\) | − | 16.1498i | − | 0.820941i | ||||||
\(388\) | −10.9418 | − | 9.12311i | −0.555487 | − | 0.463156i | ||||
\(389\) | 1.12311 | 0.0569437 | 0.0284719 | − | 0.999595i | \(-0.490936\pi\) | ||||
0.0284719 | + | 0.999595i | \(0.490936\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 40.8427 | 2.06551 | ||||||||
\(392\) | 1.95104 | + | 19.7026i | 0.0985424 | + | 0.995133i | ||||
\(393\) | 12.9848 | 0.654999 | ||||||||
\(394\) | 23.0540 | − | 10.7942i | 1.16144 | − | 0.543803i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −7.82292 | − | 6.52262i | −0.393116 | − | 0.327774i | ||||
\(397\) | 14.0000i | 0.702640i | 0.936255 | + | 0.351320i | \(0.114267\pi\) | ||||
−0.936255 | + | 0.351320i | \(0.885733\pi\) | |||||||
\(398\) | 20.5366 | − | 9.61553i | 1.02941 | − | 0.481983i | ||||
\(399\) | −5.84912 | + | 1.05171i | −0.292822 | + | 0.0526511i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.00000 | 0.299626 | 0.149813 | − | 0.988714i | \(-0.452133\pi\) | ||||
0.149813 | + | 0.988714i | \(0.452133\pi\) | |||||||
\(402\) | 8.01726 | + | 17.1231i | 0.399865 | + | 0.854023i | ||||
\(403\) | − | 13.3405i | − | 0.664539i | ||||||
\(404\) | −10.5636 | − | 8.80776i | −0.525560 | − | 0.438203i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.10871 | − | 4.32246i | 0.303170 | − | 0.214520i | ||||
\(407\) | − | 4.79741i | − | 0.237799i | ||||||
\(408\) | 18.2462 | + | 4.79741i | 0.903322 | + | 0.237507i | ||||
\(409\) | − | 8.87689i | − | 0.438934i | −0.975620 | − | 0.219467i | \(-0.929568\pi\) | ||
0.975620 | − | 0.219467i | \(-0.0704319\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.1100 | −0.646667 | ||||||||
\(412\) | −1.87285 | + | 2.24621i | −0.0922688 | + | 0.110663i | ||||
\(413\) | 28.4924 | − | 5.12311i | 1.40202 | − | 0.252092i | ||||
\(414\) | −7.30019 | − | 15.5916i | −0.358785 | − | 0.766285i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 9.21662 | − | 6.56155i | 0.451882 | − | 0.321707i | ||||
\(417\) | −1.26137 | −0.0617694 | ||||||||
\(418\) | −3.45041 | − | 7.36932i | −0.168765 | − | 0.360445i | ||||
\(419\) | 11.9935 | 0.585922 | 0.292961 | − | 0.956124i | \(-0.405359\pi\) | ||||
0.292961 | + | 0.956124i | \(0.405359\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.6155 | −0.858528 | −0.429264 | − | 0.903179i | \(-0.641227\pi\) | ||||
−0.429264 | + | 0.903179i | \(0.641227\pi\) | |||||||
\(422\) | 11.0540 | + | 23.6089i | 0.538099 | + | 1.14926i | ||||
\(423\) | −21.2425 | −1.03285 | ||||||||
\(424\) | 1.43845 | − | 5.47091i | 0.0698572 | − | 0.265691i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.45041 | + | 7.36932i | 0.167173 | + | 0.357045i | ||||
\(427\) | 0.936426 | + | 5.20798i | 0.0453168 | + | 0.252032i | ||||
\(428\) | −14.5616 | − | 12.1412i | −0.703859 | − | 0.586866i | ||||
\(429\) | −4.49242 | −0.216896 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 36.5712i | − | 1.76157i | −0.473515 | − | 0.880786i | \(-0.657015\pi\) | ||
0.473515 | − | 0.880786i | \(-0.342985\pi\) | |||||||
\(432\) | −3.45041 | − | 18.8769i | −0.166008 | − | 0.908215i | ||||
\(433\) | 11.6155i | 0.558207i | 0.960261 | + | 0.279103i | \(0.0900372\pi\) | ||||
−0.960261 | + | 0.279103i | \(0.909963\pi\) | |||||||
\(434\) | −20.3734 | + | 14.4160i | −0.977953 | + | 0.691989i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.43845 | − | 1.72521i | 0.0688891 | − | 0.0826224i | ||||
\(437\) | − | 13.7538i | − | 0.657933i | ||||||
\(438\) | 5.26137 | + | 11.2371i | 0.251398 | + | 0.536930i | ||||
\(439\) | −18.1379 | −0.865677 | −0.432838 | − | 0.901472i | \(-0.642488\pi\) | ||||
−0.432838 | + | 0.901472i | \(0.642488\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −13.9309 | + | 5.17708i | −0.663375 | + | 0.246528i | ||||
\(442\) | −18.2462 | + | 8.54312i | −0.867884 | + | 0.406355i | ||||
\(443\) | − | 30.3115i | − | 1.44014i | −0.693900 | − | 0.720071i | \(-0.744109\pi\) | ||
0.693900 | − | 0.720071i | \(-0.255891\pi\) | |||||||
\(444\) | 2.39871 | − | 2.87689i | 0.113838 | − | 0.136531i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −16.5604 | + | 7.75379i | −0.784157 | + | 0.367153i | ||||
\(447\) | 18.1379 | 0.857895 | ||||||||
\(448\) | −19.9803 | − | 6.98490i | −0.943979 | − | 0.330006i | ||||
\(449\) | 25.6155 | 1.20887 | 0.604436 | − | 0.796654i | \(-0.293399\pi\) | ||||
0.604436 | + | 0.796654i | \(0.293399\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.0862 | −0.804559 | ||||||||
\(452\) | 18.5616 | − | 22.2619i | 0.873062 | − | 1.04711i | ||||
\(453\) | − | 13.7538i | − | 0.646209i | ||||||
\(454\) | 18.2856 | − | 8.56155i | 0.858185 | − | 0.401814i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.61553 | − | 6.14441i | 0.0756540 | − | 0.287738i | ||||
\(457\) | −6.00000 | −0.280668 | −0.140334 | − | 0.990104i | \(-0.544818\pi\) | ||||
−0.140334 | + | 0.990104i | \(0.544818\pi\) | |||||||
\(458\) | 12.6670 | + | 27.0540i | 0.591891 | + | 1.26415i | ||||
\(459\) | 34.1725i | 1.59503i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 37.6155i | − | 1.75193i | −0.482375 | − | 0.875965i | \(-0.660226\pi\) | ||
0.482375 | − | 0.875965i | \(-0.339774\pi\) | |||||||
\(462\) | 4.85458 | + | 6.86073i | 0.225855 | + | 0.319190i | ||||
\(463\) | 21.9989i | 1.02238i | 0.859469 | + | 0.511188i | \(0.170795\pi\) | ||||
−0.859469 | + | 0.511188i | \(0.829205\pi\) | |||||||
\(464\) | 1.43845 | + | 7.86962i | 0.0667782 | + | 0.365338i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.0540 | − | 14.5399i | 1.43855 | − | 0.673547i | ||||
\(467\) | 1.98813 | 0.0919998 | 0.0459999 | − | 0.998941i | \(-0.485353\pi\) | ||||
0.0459999 | + | 0.998941i | \(0.485353\pi\) | |||||||
\(468\) | 6.52262 | + | 5.43845i | 0.301508 | + | 0.251392i | ||||
\(469\) | 6.68466 | + | 37.1771i | 0.308669 | + | 1.71668i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 15.2134i | 0.700996i | ||||||||
\(472\) | −7.86962 | + | 29.9309i | −0.362228 | + | 1.37768i | ||||
\(473\) | −18.2462 | −0.838962 | ||||||||
\(474\) | −2.39871 | − | 5.12311i | −0.110176 | − | 0.235312i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 32.7640 | + | 18.6334i | 1.50173 | + | 0.854060i | ||||
\(477\) | 4.24621 | 0.194421 | ||||||||
\(478\) | 7.68466 | + | 16.4127i | 0.351488 | + | 0.750701i | ||||
\(479\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.00000i | 0.182384i | ||||||||
\(482\) | −9.36426 | − | 20.0000i | −0.426531 | − | 0.910975i | ||||
\(483\) | 2.51398 | + | 13.9817i | 0.114390 | + | 0.636188i | ||||
\(484\) | 6.71922 | − | 8.05872i | 0.305419 | − | 0.366305i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 20.6843 | − | 9.68466i | 0.938259 | − | 0.439305i | ||||
\(487\) | − | 19.0744i | − | 0.864342i | −0.901792 | − | 0.432171i | \(-0.857748\pi\) | ||
0.901792 | − | 0.432171i | \(-0.142252\pi\) | |||||||
\(488\) | −5.47091 | − | 1.43845i | −0.247657 | − | 0.0651154i | ||||
\(489\) | − | 0.876894i | − | 0.0396545i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.6358i | 0.615376i | 0.951487 | + | 0.307688i | \(0.0995553\pi\) | ||||
−0.951487 | + | 0.307688i | \(0.900445\pi\) | |||||||
\(492\) | −10.2462 | − | 8.54312i | −0.461935 | − | 0.385153i | ||||
\(493\) | − | 14.2462i | − | 0.641617i | ||||||
\(494\) | 2.87689 | + | 6.14441i | 0.129438 | + | 0.276450i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.79741 | − | 26.2462i | −0.215410 | − | 1.17849i | ||||
\(497\) | 2.87689 | + | 16.0000i | 0.129046 | + | 0.717698i | ||||
\(498\) | −1.12311 | + | 0.525853i | −0.0503276 | + | 0.0235640i | ||||
\(499\) | − | 27.2069i | − | 1.21795i | −0.793190 | − | 0.608974i | \(-0.791581\pi\) | ||
0.793190 | − | 0.608974i | \(-0.208419\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.13826 | −0.0955304 | ||||||||
\(502\) | 21.2101 | − | 9.93087i | 0.946655 | − | 0.443236i | ||||
\(503\) | −21.4731 | −0.957437 | −0.478718 | − | 0.877968i | \(-0.658899\pi\) | ||||
−0.478718 | + | 0.877968i | \(0.658899\pi\) | |||||||
\(504\) | 1.25704 | − | 15.8381i | 0.0559930 | − | 0.705483i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −17.6155 | + | 8.24782i | −0.783106 | + | 0.366660i | ||||
\(507\) | −8.42784 | −0.374293 | ||||||||
\(508\) | −20.3153 | − | 16.9386i | −0.901348 | − | 0.751528i | ||||
\(509\) | 17.6155i | 0.780795i | 0.920646 | + | 0.390397i | \(0.127662\pi\) | ||||
−0.920646 | + | 0.390397i | \(0.872338\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.38684 | + | 24.3976i | 0.194062 | + | 1.07929i | ||||
\(512\) | 15.7732 | − | 16.2236i | 0.697083 | − | 0.716990i | ||||
\(513\) | 11.5076 | 0.508072 | ||||||||
\(514\) | 8.01726 | + | 17.1231i | 0.353626 | + | 0.755268i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.9418 | − | 9.12311i | −0.481687 | − | 0.401622i | ||||
\(517\) | 24.0000i | 1.05552i | ||||||||
\(518\) | 6.10871 | − | 4.32246i | 0.268401 | − | 0.189918i | ||||
\(519\) | 0.230559i | 0.0101204i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 26.2462i | − | 1.14987i | −0.818200 | − | 0.574934i | \(-0.805028\pi\) | ||
0.818200 | − | 0.574934i | \(-0.194972\pi\) | |||||||
\(522\) | −5.43845 | + | 2.54635i | −0.238034 | + | 0.111451i | ||||
\(523\) | 17.2015 | 0.752170 | 0.376085 | − | 0.926585i | \(-0.377270\pi\) | ||||
0.376085 | + | 0.926585i | \(0.377270\pi\) | |||||||
\(524\) | −17.7597 | + | 21.3002i | −0.775838 | + | 0.930503i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.19224 | − | 2.54635i | −0.0519840 | − | 0.111026i | ||||
\(527\) | 47.5130i | 2.06970i | ||||||||
\(528\) | −8.83841 | + | 1.61553i | −0.384642 | + | 0.0703068i | ||||
\(529\) | −9.87689 | −0.429430 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −23.2306 | −1.00812 | ||||||||
\(532\) | 6.27479 | − | 11.0333i | 0.272047 | − | 0.478353i | ||||
\(533\) | 14.2462 | 0.617072 | ||||||||
\(534\) | 6.73863 | + | 14.3922i | 0.291609 | + | 0.622813i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −39.0540 | − | 10.2683i | −1.68687 | − | 0.443524i | ||||
\(537\) | 0.492423i | 0.0212496i | ||||||||
\(538\) | −9.74247 | − | 20.8078i | −0.420028 | − | 0.897086i | ||||
\(539\) | 5.84912 | + | 15.7392i | 0.251939 | + | 0.677937i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.0000 | 1.28980 | 0.644900 | − | 0.764267i | \(-0.276899\pi\) | ||||
0.644900 | + | 0.764267i | \(0.276899\pi\) | |||||||
\(542\) | −30.4268 | + | 14.2462i | −1.30694 | + | 0.611927i | ||||
\(543\) | 6.43971i | 0.276354i | ||||||||
\(544\) | −32.8255 | + | 23.3693i | −1.40738 | + | 1.00195i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.04766 | − | 5.72036i | −0.173224 | − | 0.244809i | ||||
\(547\) | 1.75757i | 0.0751484i | 0.999294 | + | 0.0375742i | \(0.0119631\pi\) | ||||
−0.999294 | + | 0.0375742i | \(0.988037\pi\) | |||||||
\(548\) | 17.9309 | − | 21.5054i | 0.765969 | − | 0.918667i | ||||
\(549\) | − | 4.24621i | − | 0.181224i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.79741 | −0.204377 | ||||||||
\(552\) | −14.6875 | − | 3.86174i | −0.625143 | − | 0.164367i | ||||
\(553\) | −2.00000 | − | 11.1231i | −0.0850487 | − | 0.473003i | ||||
\(554\) | −5.43845 | + | 2.54635i | −0.231057 | + | 0.108184i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.72521 | − | 2.06913i | 0.0731650 | − | 0.0877507i | ||||
\(557\) | −6.49242 | −0.275093 | −0.137546 | − | 0.990495i | \(-0.543922\pi\) | ||||
−0.137546 | + | 0.990495i | \(0.543922\pi\) | |||||||
\(558\) | 18.1379 | − | 8.49242i | 0.767840 | − | 0.359513i | ||||
\(559\) | 15.2134 | 0.643457 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.0000 | 0.675521 | ||||||||
\(562\) | 5.93087 | − | 2.77691i | 0.250179 | − | 0.117137i | ||||
\(563\) | −26.7963 | −1.12933 | −0.564665 | − | 0.825320i | \(-0.690995\pi\) | ||||
−0.564665 | + | 0.825320i | \(0.690995\pi\) | |||||||
\(564\) | −12.0000 | + | 14.3922i | −0.505291 | + | 0.606022i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −31.6261 | + | 14.8078i | −1.32934 | + | 0.622417i | ||||
\(567\) | 4.88742 | − | 0.878787i | 0.205252 | − | 0.0369056i | ||||
\(568\) | −16.8078 | − | 4.41921i | −0.705238 | − | 0.185426i | ||||
\(569\) | −37.1231 | −1.55628 | −0.778141 | − | 0.628090i | \(-0.783837\pi\) | ||||
−0.778141 | + | 0.628090i | \(0.783837\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 28.0281i | − | 1.17294i | −0.809972 | − | 0.586469i | \(-0.800518\pi\) | ||
0.809972 | − | 0.586469i | \(-0.199482\pi\) | |||||||
\(572\) | 6.14441 | − | 7.36932i | 0.256911 | − | 0.308127i | ||||
\(573\) | 1.26137i | 0.0526943i | ||||||||
\(574\) | −15.3947 | − | 21.7565i | −0.642561 | − | 0.908099i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 14.7884 | + | 8.35401i | 0.616181 | + | 0.348084i | ||||
\(577\) | − | 4.38447i | − | 0.182528i | −0.995827 | − | 0.0912640i | \(-0.970909\pi\) | ||
0.995827 | − | 0.0912640i | \(-0.0290907\pi\) | |||||||
\(578\) | 43.2116 | − | 20.2323i | 1.79737 | − | 0.841551i | ||||
\(579\) | 9.82538 | 0.408329 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.43845 | + | 0.438447i | −0.101164 | + | 0.0181899i | ||||
\(582\) | −4.00000 | − | 8.54312i | −0.165805 | − | 0.354124i | ||||
\(583\) | − | 4.79741i | − | 0.198688i | ||||||
\(584\) | −25.6294 | − | 6.73863i | −1.06055 | − | 0.278847i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.3373 | − | 41.3002i | −0.798816 | − | 1.70609i | ||||
\(587\) | −8.65840 | −0.357370 | −0.178685 | − | 0.983906i | \(-0.557184\pi\) | ||||
−0.178685 | + | 0.983906i | \(0.557184\pi\) | |||||||
\(588\) | −4.36204 | + | 12.3630i | −0.179887 | + | 0.509842i | ||||
\(589\) | 16.0000 | 0.659269 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.8557 | 0.693350 | ||||||||
\(592\) | 1.43845 | + | 7.86962i | 0.0591198 | + | 0.323439i | ||||
\(593\) | − | 13.3693i | − | 0.549012i | −0.961585 | − | 0.274506i | \(-0.911486\pi\) | ||
0.961585 | − | 0.274506i | \(-0.0885143\pi\) | |||||||
\(594\) | −6.90082 | − | 14.7386i | −0.283144 | − | 0.604733i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.8078 | + | 29.7533i | −1.01617 | + | 1.21874i | ||||
\(597\) | 15.0152 | 0.614529 | ||||||||
\(598\) | 14.6875 | − | 6.87689i | 0.600618 | − | 0.281217i | ||||
\(599\) | − | 10.1207i | − | 0.413520i | −0.978392 | − | 0.206760i | \(-0.933708\pi\) | ||
0.978392 | − | 0.206760i | \(-0.0662919\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.87689i | 0.362096i | 0.983474 | + | 0.181048i | \(0.0579489\pi\) | ||||
−0.983474 | + | 0.181048i | \(0.942051\pi\) | |||||||
\(602\) | −16.4398 | − | 23.2335i | −0.670036 | − | 0.946928i | ||||
\(603\) | − | 30.3115i | − | 1.23438i | ||||||
\(604\) | 22.5616 | + | 18.8114i | 0.918017 | + | 0.765427i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.86174 | − | 8.24782i | −0.156872 | − | 0.335045i | ||||
\(607\) | 7.90198 | 0.320732 | 0.160366 | − | 0.987058i | \(-0.448733\pi\) | ||||
0.160366 | + | 0.987058i | \(0.448733\pi\) | |||||||
\(608\) | 7.86962 | + | 11.0540i | 0.319155 | + | 0.448298i | ||||
\(609\) | 4.87689 | − | 0.876894i | 0.197622 | − | 0.0355336i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 20.0108i | − | 0.809550i | ||||||
\(612\) | −23.2306 | − | 19.3693i | −0.939043 | − | 0.782958i | ||||
\(613\) | −11.7538 | −0.474731 | −0.237366 | − | 0.971420i | \(-0.576284\pi\) | ||||
−0.237366 | + | 0.971420i | \(0.576284\pi\) | |||||||
\(614\) | 40.1692 | − | 18.8078i | 1.62110 | − | 0.759020i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −17.8940 | − | 1.42022i | −0.720970 | − | 0.0572222i | ||||
\(617\) | 26.0000 | 1.04672 | 0.523360 | − | 0.852111i | \(-0.324678\pi\) | ||||
0.523360 | + | 0.852111i | \(0.324678\pi\) | |||||||
\(618\) | −1.75379 | + | 0.821147i | −0.0705477 | + | 0.0330314i | ||||
\(619\) | 48.8600 | 1.96385 | 0.981925 | − | 0.189273i | \(-0.0606131\pi\) | ||||
0.981925 | + | 0.189273i | \(0.0606131\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 27.5076i | − | 1.10384i | ||||||
\(622\) | −11.9935 | + | 5.61553i | −0.480897 | + | 0.225162i | ||||
\(623\) | 5.61856 | + | 31.2479i | 0.225103 | + | 1.25192i | ||||
\(624\) | 7.36932 | − | 1.34700i | 0.295009 | − | 0.0539232i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −4.56685 | − | 9.75379i | −0.182528 | − | 0.389840i | ||||
\(627\) | − | 5.38800i | − | 0.215176i | ||||||
\(628\) | −24.9559 | − | 20.8078i | −0.995847 | − | 0.830320i | ||||
\(629\) | − | 14.2462i | − | 0.568034i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 7.19612i | − | 0.286473i | −0.989688 | − | 0.143236i | \(-0.954249\pi\) | ||
0.989688 | − | 0.143236i | \(-0.0457509\pi\) | |||||||
\(632\) | 11.6847 | + | 3.07221i | 0.464791 | + | 0.122206i | ||||
\(633\) | 17.2614i | 0.686078i | ||||||||
\(634\) | −5.43845 | + | 2.54635i | −0.215988 | + | 0.101129i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 2.39871 | − | 2.87689i | 0.0951149 | − | 0.114076i | ||||
\(637\) | −4.87689 | − | 13.1231i | −0.193230 | − | 0.519956i | ||||
\(638\) | 2.87689 | + | 6.14441i | 0.113897 | + | 0.243260i | ||||
\(639\) | − | 13.0452i | − | 0.516061i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.12311 | 0.0443600 | 0.0221800 | − | 0.999754i | \(-0.492939\pi\) | ||||
0.0221800 | + | 0.999754i | \(0.492939\pi\) | |||||||
\(642\) | −5.32326 | − | 11.3693i | −0.210092 | − | 0.448711i | ||||
\(643\) | 4.91269 | 0.193738 | 0.0968688 | − | 0.995297i | \(-0.469117\pi\) | ||||
0.0968688 | + | 0.995297i | \(0.469117\pi\) | |||||||
\(644\) | −26.3738 | − | 14.9992i | −1.03927 | − | 0.591051i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.2462 | − | 21.8836i | −0.403132 | − | 0.861000i | ||||
\(647\) | 37.7382 | 1.48364 | 0.741820 | − | 0.670599i | \(-0.233963\pi\) | ||||
0.741820 | + | 0.670599i | \(0.233963\pi\) | |||||||
\(648\) | −1.34991 | + | 5.13416i | −0.0530293 | + | 0.201689i | ||||
\(649\) | 26.2462i | 1.03025i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.2651 | + | 2.92456i | −0.637479 | + | 0.114622i | ||||
\(652\) | 1.43845 | + | 1.19935i | 0.0563339 | + | 0.0469703i | ||||
\(653\) | −42.9848 | −1.68213 | −0.841063 | − | 0.540936i | \(-0.818070\pi\) | ||||
−0.841063 | + | 0.540936i | \(0.818070\pi\) | |||||||
\(654\) | 1.34700 | − | 0.630683i | 0.0526719 | − | 0.0246617i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 28.0281 | − | 5.12311i | 1.09431 | − | 0.200024i | ||||
\(657\) | − | 19.8920i | − | 0.776063i | ||||||
\(658\) | −30.5600 | + | 21.6240i | −1.19135 | + | 0.842990i | ||||
\(659\) | − | 4.27156i | − | 0.166396i | −0.996533 | − | 0.0831981i | \(-0.973487\pi\) | ||
0.996533 | − | 0.0831981i | \(-0.0265134\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.24621i | 0.165158i | 0.996585 | + | 0.0825792i | \(0.0263158\pi\) | ||||
−0.996585 | + | 0.0825792i | \(0.973684\pi\) | |||||||
\(662\) | −17.4384 | − | 37.2447i | −0.677764 | − | 1.44756i | ||||
\(663\) | −13.3405 | −0.518103 | ||||||||
\(664\) | 0.673500 | − | 2.56155i | 0.0261369 | − | 0.0994075i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.43845 | + | 2.54635i | −0.210736 | + | 0.0986692i | ||||
\(667\) | 11.4677i | 0.444030i | ||||||||
\(668\) | 2.92456 | − | 3.50758i | 0.113155 | − | 0.135712i | ||||
\(669\) | −12.1080 | −0.468120 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.79741 | −0.185202 | ||||||||
\(672\) | −10.0205 | − | 9.79867i | −0.386549 | − | 0.377992i | ||||
\(673\) | 14.0000 | 0.539660 | 0.269830 | − | 0.962908i | \(-0.413032\pi\) | ||||
0.269830 | + | 0.962908i | \(0.413032\pi\) | |||||||
\(674\) | 5.43845 | − | 2.54635i | 0.209481 | − | 0.0980818i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.5270 | − | 13.8249i | 0.443346 | − | 0.531728i | ||||
\(677\) | − | 16.7386i | − | 0.643318i | −0.946856 | − | 0.321659i | \(-0.895760\pi\) | ||
0.946856 | − | 0.321659i | \(-0.104240\pi\) | |||||||
\(678\) | 17.3815 | − | 8.13826i | 0.667534 | − | 0.312548i | ||||
\(679\) | −3.33513 | − | 18.5485i | −0.127991 | − | 0.711827i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.3693 | 0.512313 | ||||||||
\(682\) | −9.59482 | − | 20.4924i | −0.367405 | − | 0.784695i | ||||
\(683\) | 7.60669i | 0.291062i | 0.989354 | + | 0.145531i | \(0.0464890\pi\) | ||||
−0.989354 | + | 0.145531i | \(0.953511\pi\) | |||||||
\(684\) | −6.52262 | + | 7.82292i | −0.249398 | + | 0.299117i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.7713 | + | 21.6289i | −0.563970 | + | 0.825795i | ||||
\(687\) | 19.7802i | 0.754663i | ||||||||
\(688\) | 29.9309 | − | 5.47091i | 1.14110 | − | 0.208577i | ||||
\(689\) | 4.00000i | 0.152388i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.4095 | 0.852497 | 0.426249 | − | 0.904606i | \(-0.359835\pi\) | ||||
0.426249 | + | 0.904606i | \(0.359835\pi\) | |||||||
\(692\) | −0.378206 | − | 0.315342i | −0.0143772 | − | 0.0119875i | ||||
\(693\) | −2.38447 | − | 13.2614i | −0.0905786 | − | 0.503758i | ||||
\(694\) | 5.68466 | + | 12.1412i | 0.215787 | + | 0.460873i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.34700 | + | 5.12311i | −0.0510579 | + | 0.194191i | ||||
\(697\) | −50.7386 | −1.92186 | ||||||||
\(698\) | 16.7080 | + | 35.6847i | 0.632408 | + | 1.35068i | ||||
\(699\) | 22.7048 | 0.858774 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.87689 | 0.108659 | 0.0543294 | − | 0.998523i | \(-0.482698\pi\) | ||||
0.0543294 | + | 0.998523i | \(0.482698\pi\) | |||||||
\(702\) | 5.75379 | + | 12.2888i | 0.217163 | + | 0.463812i | ||||
\(703\) | −4.79741 | −0.180938 | ||||||||
\(704\) | 9.43845 | − | 16.7080i | 0.355725 | − | 0.629707i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.21985 | + | 6.87689i | 0.121181 | + | 0.258815i | ||||
\(707\) | −3.21985 | − | 17.9074i | −0.121095 | − | 0.673476i | ||||
\(708\) | −13.1231 | + | 15.7392i | −0.493197 | + | 0.591517i | ||||
\(709\) | −4.73863 | −0.177963 | −0.0889816 | − | 0.996033i | \(-0.528361\pi\) | ||||
−0.0889816 | + | 0.996033i | \(0.528361\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 9.06897i | 0.340113i | ||||||||
\(712\) | −32.8255 | − | 8.63068i | −1.23019 | − | 0.323449i | ||||
\(713\) | − | 38.2462i | − | 1.43233i | ||||||
\(714\) | 14.4160 | + | 20.3734i | 0.539504 | + | 0.762454i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.807764 | − | 0.673500i | −0.0301876 | − | 0.0251699i | ||||
\(717\) | 12.0000i | 0.448148i | ||||||||
\(718\) | 9.93087 | + | 21.2101i | 0.370617 | + | 0.791556i | ||||
\(719\) | 37.9182 | 1.41411 | 0.707055 | − | 0.707159i | \(-0.250023\pi\) | ||||
0.707055 | + | 0.707159i | \(0.250023\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.80776 | + | 0.684658i | −0.141809 | + | 0.0254980i | ||||
\(722\) | 16.9654 | − | 7.94344i | 0.631388 | − | 0.295624i | ||||
\(723\) | − | 14.6228i | − | 0.543828i | ||||||
\(724\) | −10.5636 | − | 8.80776i | −0.392594 | − | 0.327338i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.29206 | − | 2.94602i | 0.233520 | − | 0.109337i | ||||
\(727\) | 22.2942 | 0.826847 | 0.413423 | − | 0.910539i | \(-0.364333\pi\) | ||||
0.413423 | + | 0.910539i | \(0.364333\pi\) | |||||||
\(728\) | 14.9197 | + | 1.18415i | 0.552961 | + | 0.0438876i | ||||
\(729\) | 9.49242 | 0.351571 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −54.1833 | −2.00404 | ||||||||
\(732\) | −2.87689 | − | 2.39871i | −0.106333 | − | 0.0886587i | ||||
\(733\) | 48.7386i | 1.80020i | 0.435681 | + | 0.900101i | \(0.356508\pi\) | ||||
−0.435681 | + | 0.900101i | \(0.643492\pi\) | |||||||
\(734\) | −9.06897 | + | 4.24621i | −0.334742 | + | 0.156731i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26.4233 | − | 18.8114i | 0.973975 | − | 0.693399i | ||||
\(737\) | −34.2462 | −1.26148 | ||||||||
\(738\) | 9.06897 | + | 19.3693i | 0.333833 | + | 0.712994i | ||||
\(739\) | − | 15.5087i | − | 0.570496i | −0.958454 | − | 0.285248i | \(-0.907924\pi\) | ||
0.958454 | − | 0.285248i | \(-0.0920759\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.49242i | 0.165033i | ||||||||
\(742\) | 6.10871 | − | 4.32246i | 0.224258 | − | 0.158682i | ||||
\(743\) | 15.0981i | 0.553896i | 0.960885 | + | 0.276948i | \(0.0893229\pi\) | ||||
−0.960885 | + | 0.276948i | \(0.910677\pi\) | |||||||
\(744\) | 4.49242 | − | 17.0862i | 0.164700 | − | 0.626412i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 28.8078 | − | 13.4882i | 1.05473 | − | 0.493837i | ||||
\(747\) | 1.98813 | 0.0727420 | ||||||||
\(748\) | −21.8836 | + | 26.2462i | −0.800145 | + | 0.959657i | ||||
\(749\) | −4.43845 | − | 24.6847i | −0.162177 | − | 0.901958i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.09271i | 0.185835i | 0.995674 | + | 0.0929177i | \(0.0296194\pi\) | ||||
−0.995674 | + | 0.0929177i | \(0.970381\pi\) | |||||||
\(752\) | −7.19612 | − | 39.3693i | −0.262415 | − | 1.43565i | ||||
\(753\) | 15.5076 | 0.565128 | ||||||||
\(754\) | −2.39871 | − | 5.12311i | −0.0873557 | − | 0.186573i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 12.5496 | − | 22.0665i | 0.456424 | − | 0.802552i | ||||
\(757\) | 12.2462 | 0.445096 | 0.222548 | − | 0.974922i | \(-0.428563\pi\) | ||||
0.222548 | + | 0.974922i | \(0.428563\pi\) | |||||||
\(758\) | −13.4384 | − | 28.7016i | −0.488106 | − | 1.04249i | ||||
\(759\) | −12.8794 | −0.467493 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 35.2311i | 1.27712i | 0.769570 | + | 0.638562i | \(0.220471\pi\) | ||||
−0.769570 | + | 0.638562i | \(0.779529\pi\) | |||||||
\(762\) | −7.42668 | − | 15.8617i | −0.269040 | − | 0.574610i | ||||
\(763\) | 2.92456 | − | 0.525853i | 0.105876 | − | 0.0190372i | ||||
\(764\) | −2.06913 | − | 1.72521i | −0.0748585 | − | 0.0624158i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.4095 | + | 10.4924i | −0.809688 | + | 0.379107i | ||||
\(767\) | − | 21.8836i | − | 0.790173i | ||||||
\(768\) | 14.0140 | − | 5.30019i | 0.505688 | − | 0.191254i | ||||
\(769\) | 55.2311i | 1.99168i | 0.0911037 | + | 0.995841i | \(0.470961\pi\) | ||||
−0.0911037 | + | 0.995841i | \(0.529039\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.5194i | 0.450874i | ||||||||
\(772\) | −13.4384 | + | 16.1174i | −0.483660 | + | 0.580079i | ||||
\(773\) | − | 16.7386i | − | 0.602047i | −0.953617 | − | 0.301023i | \(-0.902672\pi\) | ||
0.953617 | − | 0.301023i | \(-0.0973282\pi\) | |||||||
\(774\) | 9.68466 | + | 20.6843i | 0.348108 | + | 0.743482i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 19.4849 | + | 5.12311i | 0.699469 | + | 0.183909i | ||||
\(777\) | 4.87689 | − | 0.876894i | 0.174958 | − | 0.0314584i | ||||
\(778\) | −1.43845 | + | 0.673500i | −0.0515708 | + | 0.0241461i | ||||
\(779\) | 17.0862i | 0.612178i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.7386 | −0.527390 | ||||||||
\(782\) | −52.3104 | + | 24.4924i | −1.87062 | + | 0.875847i | ||||
\(783\) | −9.59482 | −0.342891 | ||||||||
\(784\) | −14.3140 | − | 24.0647i | −0.511216 | − | 0.859452i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −16.6307 | + | 7.78671i | −0.593197 | + | 0.277743i | ||||
\(787\) | −0.936426 | −0.0333800 | −0.0166900 | − | 0.999861i | \(-0.505313\pi\) | ||||
−0.0166900 | + | 0.999861i | \(0.505313\pi\) | |||||||
\(788\) | −23.0540 | + | 27.6499i | −0.821264 | + | 0.984985i | ||||
\(789\) | − | 1.86174i | − | 0.0662797i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 37.7382 | − | 6.78554i | 1.34181 | − | 0.241266i | ||||
\(792\) | 13.9309 | + | 3.66279i | 0.495012 | + | 0.130152i | ||||
\(793\) | 4.00000 | 0.142044 | ||||||||
\(794\) | −8.39547 | − | 17.9309i | −0.297944 | − | 0.636343i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.5366 | + | 24.6307i | −0.727902 | + | 0.873011i | ||||
\(797\) | 20.2462i | 0.717158i | 0.933499 | + | 0.358579i | \(0.116739\pi\) | ||||
−0.933499 | + | 0.358579i | \(0.883261\pi\) | |||||||
\(798\) | 6.86073 | − | 4.85458i | 0.242867 | − | 0.171850i | ||||
\(799\) | 71.2695i | 2.52133i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 25.4773i | − | 0.900195i | ||||||
\(802\) | −7.68466 | + | 3.59806i | −0.271355 | + | 0.127052i | ||||
\(803\) | −22.4742 | −0.793098 | ||||||||
\(804\) | −20.5366 | − | 17.1231i | −0.724272 | − | 0.603885i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 8.00000 | + | 17.0862i | 0.281788 | + | 0.601837i | ||||
\(807\) | − | 15.2134i | − | 0.535536i | ||||||
\(808\) | 18.8114 | + | 4.94602i | 0.661784 | + | 0.174001i | ||||
\(809\) | −18.9848 | −0.667472 | −0.333736 | − | 0.942667i | \(-0.608309\pi\) | ||||
−0.333736 | + | 0.942667i | \(0.608309\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.06897 | −0.318455 | −0.159227 | − | 0.987242i | \(-0.550900\pi\) | ||||
−0.159227 | + | 0.987242i | \(0.550900\pi\) | |||||||
\(812\) | −5.23182 | + | 9.19935i | −0.183601 | + | 0.322834i | ||||
\(813\) | −22.2462 | −0.780209 | ||||||||
\(814\) | 2.87689 | + | 6.14441i | 0.100835 | + | 0.215362i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −26.2462 | + | 4.79741i | −0.918801 | + | 0.167943i | ||||
\(817\) | 18.2462i | 0.638354i | ||||||||
\(818\) | 5.32326 | + | 11.3693i | 0.186124 | + | 0.397519i | ||||
\(819\) | 1.98813 | + | 11.0571i | 0.0694710 | + | 0.386366i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −25.6155 | −0.893988 | −0.446994 | − | 0.894537i | \(-0.647505\pi\) | ||||
−0.446994 | + | 0.894537i | \(0.647505\pi\) | |||||||
\(822\) | 16.7909 | − | 7.86174i | 0.585651 | − | 0.274210i | ||||
\(823\) | − | 32.1843i | − | 1.12188i | −0.827858 | − | 0.560938i | \(-0.810441\pi\) | ||
0.827858 | − | 0.560938i | \(-0.189559\pi\) | |||||||
\(824\) | 1.05171 | − | 4.00000i | 0.0366379 | − | 0.139347i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −33.4202 | + | 23.6478i | −1.16284 | + | 0.822812i | ||||
\(827\) | 0.115279i | 0.00400866i | 0.999998 | + | 0.00200433i | \(0.000637998\pi\) | ||||
−0.999998 | + | 0.00200433i | \(0.999362\pi\) | |||||||
\(828\) | 18.6998 | + | 15.5916i | 0.649863 | + | 0.541845i | ||||
\(829\) | 32.2462i | 1.11996i | 0.828507 | + | 0.559979i | \(0.189191\pi\) | ||||
−0.828507 | + | 0.559979i | \(0.810809\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.97626 | −0.137935 | ||||||||
\(832\) | −7.86962 | + | 13.9309i | −0.272830 | + | 0.482966i | ||||
\(833\) | 17.3693 | + | 46.7386i | 0.601811 | + | 1.61940i | ||||
\(834\) | 1.61553 | − | 0.756412i | 0.0559412 | − | 0.0261924i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 8.83841 | + | 7.36932i | 0.305683 | + | 0.254873i | ||||
\(837\) | 32.0000 | 1.10608 | ||||||||
\(838\) | −15.3610 | + | 7.19224i | −0.530638 | + | 0.248452i | ||||
\(839\) | −35.2242 | −1.21607 | −0.608037 | − | 0.793909i | \(-0.708043\pi\) | ||||
−0.608037 | + | 0.793909i | \(0.708043\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 22.5616 | − | 10.5636i | 0.777522 | − | 0.364046i | ||||
\(843\) | 4.33629 | 0.149350 | ||||||||
\(844\) | −28.3153 | − | 23.6089i | −0.974654 | − | 0.812650i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 27.2069 | − | 12.7386i | 0.935393 | − | 0.437963i | ||||
\(847\) | 13.6611 | − | 2.45635i | 0.469401 | − | 0.0844010i | ||||
\(848\) | 1.43845 | + | 7.86962i | 0.0493965 | + | 0.270244i | ||||
\(849\) | −23.1231 | −0.793583 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.4677i | 0.393107i | ||||||||
\(852\) | −8.83841 | − | 7.36932i | −0.302799 | − | 0.252469i | ||||
\(853\) | − | 7.75379i | − | 0.265485i | −0.991151 | − | 0.132742i | \(-0.957622\pi\) | ||
0.991151 | − | 0.132742i | \(-0.0423783\pi\) | |||||||
\(854\) | −4.32246 | − | 6.10871i | −0.147911 | − | 0.209036i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 25.9309 | + | 6.81791i | 0.886299 | + | 0.233031i | ||||
\(857\) | 15.6155i | 0.533416i | 0.963777 | + | 0.266708i | \(0.0859360\pi\) | ||||
−0.963777 | + | 0.266708i | \(0.914064\pi\) | |||||||
\(858\) | 5.75379 | − | 2.69400i | 0.196431 | − | 0.0919716i | ||||
\(859\) | 41.3686 | 1.41148 | 0.705739 | − | 0.708472i | \(-0.250615\pi\) | ||||
0.705739 | + | 0.708472i | \(0.250615\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.12311 | − | 17.3693i | −0.106435 | − | 0.591945i | ||||
\(862\) | 21.9309 | + | 46.8395i | 0.746968 | + | 1.59536i | ||||
\(863\) | − | 41.7792i | − | 1.42218i | −0.703101 | − | 0.711090i | \(-0.748202\pi\) | ||
0.703101 | − | 0.711090i | \(-0.251798\pi\) | |||||||
\(864\) | 15.7392 | + | 22.1080i | 0.535460 | + | 0.752128i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −6.96556 | − | 14.8769i | −0.236699 | − | 0.505537i | ||||
\(867\) | 31.5937 | 1.07298 | ||||||||
\(868\) | 17.4488 | − | 30.6811i | 0.592251 | − | 1.04138i | ||||
\(869\) | 10.2462 | 0.347579 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.5539 | 0.967512 | ||||||||
\(872\) | −0.807764 | + | 3.07221i | −0.0273543 | + | 0.104038i | ||||
\(873\) | 15.1231i | 0.511840i | ||||||||
\(874\) | 8.24782 | + | 17.6155i | 0.278987 | + | 0.595854i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.4773 | − | 11.2371i | −0.455355 | − | 0.379667i | ||||
\(877\) | 48.7386 | 1.64579 | 0.822893 | − | 0.568196i | \(-0.192358\pi\) | ||||
0.822893 | + | 0.568196i | \(0.192358\pi\) | |||||||
\(878\) | 23.2306 | − | 10.8769i | 0.783996 | − | 0.367077i | ||||
\(879\) | − | 30.1962i | − | 1.01849i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.63068i | 0.223393i | 0.993742 | + | 0.111697i | \(0.0356285\pi\) | ||||
−0.993742 | + | 0.111697i | \(0.964371\pi\) | |||||||
\(882\) | 14.7378 | − | 14.9847i | 0.496246 | − | 0.504561i | ||||
\(883\) | 13.4558i | 0.452824i | 0.974032 | + | 0.226412i | \(0.0726996\pi\) | ||||
−0.974032 | + | 0.226412i | \(0.927300\pi\) | |||||||
\(884\) | 18.2462 | − | 21.8836i | 0.613686 | − | 0.736027i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.1771 | + | 38.8222i | 0.610671 | + | 1.30426i | ||||
\(887\) | 17.7274 | 0.595227 | 0.297613 | − | 0.954686i | \(-0.403809\pi\) | ||||
0.297613 | + | 0.954686i | \(0.403809\pi\) | |||||||
\(888\) | −1.34700 | + | 5.12311i | −0.0452024 | + | 0.171920i | ||||
\(889\) | −6.19224 | − | 34.4384i | −0.207681 | − | 1.15503i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.50212i | 0.150827i | ||||||||
\(892\) | 16.5604 | − | 19.8617i | 0.554483 | − | 0.665020i | ||||
\(893\) | 24.0000 | 0.803129 | ||||||||
\(894\) | −23.2306 | + | 10.8769i | −0.776949 | + | 0.363778i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 29.7789 | − | 3.03560i | 0.994844 | − | 0.101412i | ||||
\(897\) | 10.7386 | 0.358553 | ||||||||
\(898\) | −32.8078 | + | 15.3610i | −1.09481 | + | 0.512604i | ||||
\(899\) | −13.3405 | −0.444932 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 14.2462i | − | 0.474610i | ||||||
\(902\) | 21.8836 | − | 10.2462i | 0.728646 | − | 0.341162i | ||||
\(903\) | −3.33513 | − | 18.5485i | −0.110986 | − | 0.617256i | ||||
\(904\) | −10.4233 | + | 39.6434i | −0.346674 | + | 1.31852i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 8.24782 | + | 17.6155i | 0.274016 | + | 0.585237i | ||||
\(907\) | − | 14.5075i | − | 0.481714i | −0.970561 | − | 0.240857i | \(-0.922572\pi\) | ||
0.970561 | − | 0.240857i | \(-0.0774285\pi\) | |||||||
\(908\) | −18.2856 | + | 21.9309i | −0.606829 | + | 0.727801i | ||||
\(909\) | 14.6004i | 0.484264i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 10.9418i | 0.362519i | 0.983435 | + | 0.181259i | \(0.0580174\pi\) | ||||
−0.983435 | + | 0.181259i | \(0.941983\pi\) | |||||||
\(912\) | 1.61553 | + | 8.83841i | 0.0534955 | + | 0.292669i | ||||
\(913\) | − | 2.24621i | − | 0.0743387i | ||||||
\(914\) | 7.68466 | − | 3.59806i | 0.254186 | − | 0.119013i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −32.4473 | − | 27.0540i | −1.07209 | − | 0.893889i | ||||
\(917\) | −36.1080 | + | 6.49242i | −1.19239 | + | 0.214399i | ||||
\(918\) | −20.4924 | − | 43.7673i | −0.676351 | − | 1.44454i | ||||
\(919\) | 29.9009i | 0.986340i | 0.869933 | + | 0.493170i | \(0.164162\pi\) | ||||
−0.869933 | + | 0.493170i | \(0.835838\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 29.3693 | 0.967752 | ||||||||
\(922\) | 22.5571 | + | 48.1771i | 0.742880 | + | 1.58663i | ||||
\(923\) | 12.2888 | 0.404492 | ||||||||
\(924\) | −10.3318 | − | 5.87588i | −0.339893 | − | 0.193302i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −13.1922 | − | 28.1757i | −0.433524 | − | 0.925911i | ||||
\(927\) | 3.10457 | 0.101968 | ||||||||
\(928\) | −6.56155 | − | 9.21662i | −0.215394 | − | 0.302550i | ||||
\(929\) | − | 12.8769i | − | 0.422477i | −0.977435 | − | 0.211239i | \(-0.932250\pi\) | ||
0.977435 | − | 0.211239i | \(-0.0677497\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.7392 | − | 5.84912i | 0.515833 | − | 0.191697i | ||||
\(932\) | −31.0540 | + | 37.2447i | −1.01721 | + | 1.21999i | ||||
\(933\) | −8.76894 | −0.287082 | ||||||||
\(934\) | −2.54635 | + | 1.19224i | −0.0833192 | + | 0.0390112i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.6153 | − | 3.05398i | −0.379659 | − | 0.0998223i | ||||
\(937\) | − | 36.1080i | − | 1.17960i | −0.807551 | − | 0.589798i | \(-0.799207\pi\) | ||
0.807551 | − | 0.589798i | \(-0.200793\pi\) | |||||||
\(938\) | −30.8558 | − | 43.6069i | −1.00748 | − | 1.42382i | ||||
\(939\) | − | 7.13138i | − | 0.232724i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 51.3693i | 1.67459i | 0.546750 | + | 0.837296i | \(0.315865\pi\) | ||||
−0.546750 | + | 0.837296i | \(0.684135\pi\) | |||||||
\(942\) | −9.12311 | − | 19.4849i | −0.297247 | − | 0.634854i | ||||
\(943\) | 40.8427 | 1.33002 | ||||||||
\(944\) | −7.86962 | − | 43.0540i | −0.256134 | − | 1.40129i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 23.3693 | − | 10.9418i | 0.759802 | − | 0.355749i | ||||
\(947\) | 18.8438i | 0.612341i | 0.951977 | + | 0.306171i | \(0.0990478\pi\) | ||||
−0.951977 | + | 0.306171i | \(0.900952\pi\) | |||||||
\(948\) | 6.14441 | + | 5.12311i | 0.199561 | + | 0.166391i | ||||
\(949\) | 18.7386 | 0.608282 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.97626 | −0.128939 | ||||||||
\(952\) | −53.1373 | − | 4.21742i | −1.72219 | − | 0.136687i | ||||
\(953\) | −11.7538 | −0.380743 | −0.190371 | − | 0.981712i | \(-0.560969\pi\) | ||||
−0.190371 | + | 0.981712i | \(0.560969\pi\) | |||||||
\(954\) | −5.43845 | + | 2.54635i | −0.176076 | + | 0.0824412i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −19.6847 | − | 16.4127i | −0.636647 | − | 0.530826i | ||||
\(957\) | 4.49242i | 0.145219i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.4559 | − | 6.55498i | 1.17722 | − | 0.211671i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4924 | 0.435239 | ||||||||
\(962\) | −2.39871 | − | 5.12311i | −0.0773374 | − | 0.165176i | ||||
\(963\) | 20.1261i | 0.648554i | ||||||||
\(964\) | 23.9871 | + | 20.0000i | 0.772571 | + | 0.644157i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −11.6043 | − | 16.3998i | −0.373363 | − | 0.527655i | ||||
\(967\) | 55.1197i | 1.77253i | 0.463179 | + | 0.886265i | \(0.346709\pi\) | ||||
−0.463179 | + | 0.886265i | \(0.653291\pi\) | |||||||
\(968\) | −3.77320 | + | 14.3508i | −0.121275 | + | 0.461251i | ||||
\(969\) | − | 16.0000i | − | 0.513994i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.525853 | 0.0168754 | 0.00843771 | − | 0.999964i | \(-0.497314\pi\) | ||||
0.00843771 | + | 0.999964i | \(0.497314\pi\) | |||||||
\(972\) | −20.6843 | + | 24.8078i | −0.663449 | + | 0.795709i | ||||
\(973\) | 3.50758 | − | 0.630683i | 0.112448 | − | 0.0202188i | ||||
\(974\) | 11.4384 | + | 24.4300i | 0.366511 | + | 0.782788i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.86962 | − | 1.43845i | 0.251900 | − | 0.0460436i | ||||
\(977\) | 10.4924 | 0.335682 | 0.167841 | − | 0.985814i | \(-0.446320\pi\) | ||||
0.167841 | + | 0.985814i | \(0.446320\pi\) | |||||||
\(978\) | 0.525853 | + | 1.12311i | 0.0168149 | + | 0.0359130i | ||||
\(979\) | −28.7845 | −0.919956 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.38447 | −0.0761303 | ||||||||
\(982\) | −8.17708 | − | 17.4644i | −0.260941 | − | 0.557313i | ||||
\(983\) | −12.6994 | −0.405048 | −0.202524 | − | 0.979277i | \(-0.564914\pi\) | ||||
−0.202524 | + | 0.979277i | \(0.564914\pi\) | |||||||
\(984\) | 18.2462 | + | 4.79741i | 0.581668 | + | 0.152936i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 8.54312 | + | 18.2462i | 0.272068 | + | 0.581078i | ||||
\(987\) | −24.3976 | + | 4.38684i | −0.776585 | + | 0.139635i | ||||
\(988\) | −7.36932 | − | 6.14441i | −0.234449 | − | 0.195480i | ||||
\(989\) | 43.6155 | 1.38689 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 34.4678i | 1.09490i | 0.836837 | + | 0.547452i | \(0.184402\pi\) | ||||
−0.836837 | + | 0.547452i | \(0.815598\pi\) | |||||||
\(992\) | 21.8836 | + | 30.7386i | 0.694806 | + | 0.975953i | ||||
\(993\) | − | 27.2311i | − | 0.864151i | ||||||
\(994\) | −13.2795 | − | 18.7672i | −0.421200 | − | 0.595260i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 1.12311 | − | 1.34700i | 0.0355870 | − | 0.0426813i | ||||
\(997\) | 38.4924i | 1.21907i | 0.792760 | + | 0.609534i | \(0.208643\pi\) | ||||
−0.792760 | + | 0.609534i | \(0.791357\pi\) | |||||||
\(998\) | 16.3153 | + | 34.8460i | 0.516453 | + | 1.10303i | ||||
\(999\) | −9.59482 | −0.303567 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))