Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1260,2,Mod(811,1260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1260, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 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("1260.811");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1260 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1260.c (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: | \(10.0611506547\) |
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: | \( 2 \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 811.1 | ||
Root | \(-0.599676 + 1.28078i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1260.811 |
Dual form | 1260.2.c.c.811.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1260\mathbb{Z}\right)^\times\).
\(n\) | \(281\) | \(631\) | \(757\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(-1\) |
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 | 0 | ||||||||
\(4\) | 1.28078 | + | 1.53610i | 0.640388 | + | 0.768051i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.60399 | − | 0.468213i | 0.984217 | − | 0.176968i | ||||
\(8\) | −0.719224 | − | 2.73546i | −0.254284 | − | 0.967130i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.599676 | + | 1.28078i | −0.189634 | + | 0.405017i | ||||
\(11\) | 2.39871i | 0.723237i | 0.932326 | + | 0.361618i | \(0.117776\pi\) | ||||
−0.932326 | + | 0.361618i | \(0.882224\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.00000i | 0.554700i | 0.960769 | + | 0.277350i | \(0.0894562\pi\) | ||||
−0.960769 | + | 0.277350i | \(0.910544\pi\) | |||||||
\(14\) | −3.61591 | − | 0.961876i | −0.966392 | − | 0.257072i | ||||
\(15\) | 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 | \(0.668076\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.39871 | −0.550301 | −0.275150 | − | 0.961401i | \(-0.588728\pi\) | ||||
−0.275150 | + | 0.961401i | \(0.588728\pi\) | |||||||
\(20\) | 1.53610 | − | 1.28078i | 0.343483 | − | 0.286390i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.43845 | − | 3.07221i | 0.306678 | − | 0.654996i | ||||
\(23\) | 5.73384i | 1.19559i | 0.801650 | + | 0.597794i | \(0.203956\pi\) | ||||
−0.801650 | + | 0.597794i | \(0.796044\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 1.19935 | − | 2.56155i | 0.235212 | − | 0.502362i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.05436 | + | 3.40032i | 0.766201 | + | 0.642601i | ||||
\(29\) | 2.00000 | 0.371391 | 0.185695 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185695 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.67026 | −1.19801 | −0.599007 | − | 0.800743i | \(-0.704438\pi\) | ||||
−0.599007 | + | 0.800743i | \(0.704438\pi\) | |||||||
\(32\) | 3.28078 | − | 4.60831i | 0.579965 | − | 0.814642i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.27156 | − | 9.12311i | 0.732566 | − | 1.56460i | ||||
\(35\) | −0.468213 | − | 2.60399i | −0.0791425 | − | 0.440155i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 3.07221 | + | 1.43845i | 0.498378 | + | 0.233347i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.73546 | + | 0.719224i | −0.432514 | + | 0.113719i | ||||
\(41\) | − | 7.12311i | − | 1.11244i | −0.831034 | − | 0.556221i | \(-0.812251\pi\) | ||
0.831034 | − | 0.556221i | \(-0.187749\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 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 | \(-0.760349\pi\) | ||||
−0.729719 | + | 0.683748i | \(0.760349\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.56155 | − | 2.43845i | 0.937365 | − | 0.348350i | ||||
\(50\) | 1.28078 | + | 0.599676i | 0.181129 | + | 0.0848071i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.07221 | + | 2.56155i | −0.426038 | + | 0.355223i | ||||
\(53\) | −2.00000 | −0.274721 | −0.137361 | − | 0.990521i | \(-0.543862\pi\) | ||||
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.39871 | 0.323441 | ||||||||
\(56\) | −3.15363 | − | 6.78636i | −0.421421 | − | 0.906865i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −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 | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.96543 | + | 3.93481i | −0.870679 | + | 0.491851i | ||||
\(65\) | 2.00000 | 0.248069 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 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 | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.961876 | + | 3.61591i | −0.114966 | + | 0.432184i | ||||
\(71\) | 6.14441i | 0.729207i | 0.931163 | + | 0.364604i | \(0.118796\pi\) | ||||
−0.931163 | + | 0.364604i | \(0.881204\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 9.36932i | − | 1.09660i | −0.836283 | − | 0.548298i | \(-0.815276\pi\) | ||
0.836283 | − | 0.548298i | \(-0.184724\pi\) | |||||||
\(74\) | −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 | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.27156i | 0.480588i | 0.970700 | + | 0.240294i | \(0.0772438\pi\) | ||||
−0.970700 | + | 0.240294i | \(0.922756\pi\) | |||||||
\(80\) | 3.93481 | + | 0.719224i | 0.439925 | + | 0.0804116i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.27156 | + | 9.12311i | −0.471715 | + | 1.00748i | ||||
\(83\) | 0.936426 | 0.102786 | 0.0513931 | − | 0.998679i | \(-0.483634\pi\) | ||||
0.0513931 | + | 0.998679i | \(0.483634\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.12311 | 0.772609 | ||||||||
\(86\) | 4.56155 | − | 9.74247i | 0.491885 | − | 1.05056i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.56155 | − | 1.72521i | 0.699464 | − | 0.183908i | ||||
\(89\) | − | 12.0000i | − | 1.27200i | −0.771690 | − | 0.635999i | \(-0.780588\pi\) | ||
0.771690 | − | 0.635999i | \(-0.219412\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.936426 | + | 5.20798i | 0.0981642 | + | 0.545945i | ||||
\(92\) | −8.80776 | + | 7.34376i | −0.918273 | + | 0.765640i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.8147 | + | 6.00000i | 1.32173 | + | 0.618853i | ||||
\(95\) | 2.39871i | 0.246102i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.12311i | 0.723242i | 0.932325 | + | 0.361621i | \(0.117777\pi\) | ||||
−0.932325 | + | 0.361621i | \(0.882223\pi\) | |||||||
\(98\) | −9.86616 | − | 0.811703i | −0.996633 | − | 0.0819944i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.28078 | − | 1.53610i | −0.128078 | − | 0.153610i | ||||
\(101\) | 6.87689i | 0.684277i | 0.939650 | + | 0.342138i | \(0.111151\pi\) | ||||
−0.939650 | + | 0.342138i | \(0.888849\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −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 | \(0.151510\pi\) | ||||
−0.888843 | + | 0.458211i | \(0.848490\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.12311 | 0.107574 | 0.0537870 | − | 0.998552i | \(-0.482871\pi\) | ||||
0.0537870 | + | 0.998552i | \(0.482871\pi\) | |||||||
\(110\) | −3.07221 | − | 1.43845i | −0.292923 | − | 0.137151i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0305236 | + | 10.5830i | −0.00288420 | + | 0.999996i | ||||
\(113\) | 14.4924 | 1.36333 | 0.681666 | − | 0.731663i | \(-0.261256\pi\) | ||||
0.681666 | + | 0.731663i | \(0.261256\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.73384 | 0.534683 | ||||||||
\(116\) | 2.56155 | + | 3.07221i | 0.237834 | + | 0.285247i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −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 | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −8.54312 | − | 10.2462i | −0.767195 | − | 0.920137i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 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 | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.56155 | − | 1.19935i | −0.224663 | − | 0.105190i | ||||
\(131\) | −13.8664 | −1.21151 | −0.605756 | − | 0.795651i | \(-0.707129\pi\) | ||||
−0.605756 | + | 0.795651i | \(0.707129\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −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 | \(0.295942\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.34700 | −0.114251 | −0.0571255 | − | 0.998367i | \(-0.518194\pi\) | ||||
−0.0571255 | + | 0.998367i | \(0.518194\pi\) | |||||||
\(140\) | 3.40032 | − | 4.05436i | 0.287380 | − | 0.342656i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.68466 | − | 7.86962i | 0.309210 | − | 0.660404i | ||||
\(143\) | −4.79741 | −0.401180 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 2.00000i | − | 0.166091i | ||||||
\(146\) | −5.61856 | + | 12.0000i | −0.464995 | + | 0.993127i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.56155 | + | 3.07221i | 0.210558 | + | 0.252534i | ||||
\(149\) | 19.3693 | 1.58680 | 0.793398 | − | 0.608703i | \(-0.208310\pi\) | ||||
0.793398 | + | 0.608703i | \(0.208310\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 14.6875i | − | 1.19525i | −0.801774 | − | 0.597627i | \(-0.796110\pi\) | ||
0.801774 | − | 0.597627i | \(-0.203890\pi\) | |||||||
\(152\) | 1.72521 | + | 6.56155i | 0.139933 | + | 0.532212i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.30726 | − | 8.67350i | 0.185924 | − | 0.698931i | ||||
\(155\) | 6.67026i | 0.535769i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 16.2462i | 1.29659i | 0.761390 | + | 0.648294i | \(0.224517\pi\) | ||||
−0.761390 | + | 0.648294i | \(0.775483\pi\) | |||||||
\(158\) | 2.56155 | − | 5.47091i | 0.203786 | − | 0.435242i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.60831 | − | 3.28078i | −0.364319 | − | 0.259368i | ||||
\(161\) | 2.68466 | + | 14.9309i | 0.211581 | + | 1.17672i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 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 | \(-0.528159\pi\) | ||||
−0.0883484 | + | 0.996090i | \(0.528159\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | −9.12311 | − | 4.27156i | −0.699710 | − | 0.327614i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −11.6847 | + | 9.74247i | −0.890947 | + | 0.742856i | ||||
\(173\) | − | 0.246211i | − | 0.0187191i | −0.999956 | − | 0.00935955i | \(-0.997021\pi\) | ||
0.999956 | − | 0.00935955i | \(-0.00297928\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.60399 | + | 0.468213i | −0.196843 | + | 0.0353936i | ||||
\(176\) | −9.43845 | − | 1.72521i | −0.711450 | − | 0.130042i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −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 | \(-0.0822657\pi\) | |||||||
\(182\) | 1.92375 | − | 7.23182i | 0.142598 | − | 0.536058i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 15.6847 | − | 4.12391i | 1.15629 | − | 0.304019i | ||||
\(185\) | − | 2.00000i | − | 0.147043i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.0862 | −1.24947 | ||||||||
\(188\) | −12.8147 | − | 15.3693i | −0.934606 | − | 1.12092i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.43845 | − | 3.07221i | 0.104356 | − | 0.222881i | ||||
\(191\) | − | 1.34700i | − | 0.0974655i | −0.998812 | − | 0.0487327i | \(-0.984482\pi\) | ||
0.998812 | − | 0.0487327i | \(-0.0155183\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.4924 | 0.755261 | 0.377631 | − | 0.925956i | \(-0.376739\pi\) | ||||
0.377631 | + | 0.925956i | \(0.376739\pi\) | |||||||
\(194\) | 4.27156 | − | 9.12311i | 0.306680 | − | 0.655001i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.1496 | + | 6.95611i | 0.867828 | + | 0.496865i | ||||
\(197\) | −18.0000 | −1.28245 | −0.641223 | − | 0.767354i | \(-0.721573\pi\) | ||||
−0.641223 | + | 0.767354i | \(0.721573\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.0345 | 1.13666 | 0.568329 | − | 0.822802i | \(-0.307590\pi\) | ||||
0.568329 | + | 0.822802i | \(0.307590\pi\) | |||||||
\(200\) | 0.719224 | + | 2.73546i | 0.0508568 | + | 0.193426i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.12391 | − | 8.80776i | 0.290157 | − | 0.619712i | ||||
\(203\) | 5.20798 | − | 0.936426i | 0.365529 | − | 0.0657242i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.12311 | −0.497499 | ||||||||
\(206\) | 1.87285 | + | 0.876894i | 0.130488 | + | 0.0610961i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −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 | \(0.218793\pi\) | ||||
−0.772924 | + | 0.634498i | \(0.781207\pi\) | |||||||
\(212\) | −2.56155 | − | 3.07221i | −0.175928 | − | 0.211000i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.68466 | − | 12.1412i | 0.388595 | − | 0.829954i | ||||
\(215\) | 7.60669 | 0.518772 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.3693 | + | 3.12311i | −1.17911 | + | 0.212010i | ||||
\(218\) | −1.43845 | − | 0.673500i | −0.0974239 | − | 0.0456152i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.07221 | + | 3.68466i | 0.207128 | + | 0.248420i | ||||
\(221\) | −14.2462 | −0.958304 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.9300 | 0.865854 | 0.432927 | − | 0.901429i | \(-0.357481\pi\) | ||||
0.432927 | + | 0.901429i | \(0.357481\pi\) | |||||||
\(224\) | 6.38545 | − | 13.5361i | 0.426646 | − | 0.904419i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.5616 | − | 8.69076i | −1.23470 | − | 0.578101i | ||||
\(227\) | 14.2770 | 0.947595 | 0.473797 | − | 0.880634i | \(-0.342883\pi\) | ||||
0.473797 | + | 0.880634i | \(0.342883\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 21.1231i | − | 1.39585i | −0.716169 | − | 0.697927i | \(-0.754106\pi\) | ||
0.716169 | − | 0.697927i | \(-0.245894\pi\) | |||||||
\(230\) | −7.34376 | − | 3.43845i | −0.484233 | − | 0.226724i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.43845 | − | 5.47091i | −0.0944387 | − | 0.359183i | ||||
\(233\) | −24.2462 | −1.58842 | −0.794211 | − | 0.607642i | \(-0.792116\pi\) | ||||
−0.794211 | + | 0.607642i | \(0.792116\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.0054i | 0.652680i | ||||||||
\(236\) | 14.0140 | + | 16.8078i | 0.912236 | + | 1.09409i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.85155 | − | 25.7565i | 0.444120 | − | 1.66955i | ||||
\(239\) | − | 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 | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.07221 | + | 2.56155i | −0.196678 | + | 0.163987i | ||||
\(245\) | −2.43845 | − | 6.56155i | −0.155787 | − | 0.419202i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 4.79741i | − | 0.305252i | ||||||
\(248\) | 4.79741 | + | 18.2462i | 0.304636 | + | 1.15864i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.599676 | − | 1.28078i | 0.0379269 | − | 0.0810034i | ||||
\(251\) | −16.5604 | −1.04528 | −0.522641 | − | 0.852553i | \(-0.675053\pi\) | ||||
−0.522641 | + | 0.852553i | \(0.675053\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −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 | \(-0.136911\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.20798 | − | 0.936426i | 0.323608 | − | 0.0581867i | ||||
\(260\) | 2.56155 | + | 3.07221i | 0.158861 | + | 0.190530i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 17.7597 | + | 8.31534i | 1.09720 | + | 0.513724i | ||||
\(263\) | − | 1.98813i | − | 0.122593i | −0.998120 | − | 0.0612967i | \(-0.980476\pi\) | ||
0.998120 | − | 0.0612967i | \(-0.0195236\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.00000i | 0.122859i | ||||||||
\(266\) | 8.67350 | + | 2.30726i | 0.531806 | + | 0.141467i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −21.9309 | + | 18.2856i | −1.33964 | + | 1.11697i | ||||
\(269\) | − | 16.2462i | − | 0.990549i | −0.868737 | − | 0.495274i | \(-0.835067\pi\) | ||
0.868737 | − | 0.495274i | \(-0.164933\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.7565 | −1.44310 | −0.721552 | − | 0.692360i | \(-0.756571\pi\) | ||||
−0.721552 | + | 0.692360i | \(0.756571\pi\) | |||||||
\(272\) | −28.0281 | − | 5.12311i | −1.69945 | − | 0.310634i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −17.9309 | − | 8.39547i | −1.08324 | − | 0.507189i | ||||
\(275\) | − | 2.39871i | − | 0.144647i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.24621 | −0.255130 | −0.127565 | − | 0.991830i | \(-0.540716\pi\) | ||||
−0.127565 | + | 0.991830i | \(0.540716\pi\) | |||||||
\(278\) | 1.72521 | + | 0.807764i | 0.103471 | + | 0.0484465i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.78636 | + | 3.15363i | −0.405562 | + | 0.188465i | ||||
\(281\) | 4.63068 | 0.276243 | 0.138122 | − | 0.990415i | \(-0.455893\pi\) | ||||
0.138122 | + | 0.990415i | \(0.455893\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 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 | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −33.7386 | −1.98463 | ||||||||
\(290\) | −1.19935 | + | 2.56155i | −0.0704284 | + | 0.150420i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 14.3922 | − | 12.0000i | 0.842242 | − | 0.702247i | ||||
\(293\) | 32.2462i | 1.88384i | 0.335832 | + | 0.941922i | \(0.390983\pi\) | ||||
−0.335832 | + | 0.941922i | \(0.609017\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 10.9418i | − | 0.637058i | ||||||
\(296\) | −1.43845 | − | 5.47091i | −0.0836080 | − | 0.317990i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −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 | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.72521 | − | 9.43845i | 0.0989473 | − | 0.541332i | ||||
\(305\) | 2.00000 | 0.114520 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −31.3632 | −1.78999 | −0.894996 | − | 0.446074i | \(-0.852822\pi\) | ||||
−0.894996 | + | 0.446074i | \(0.852822\pi\) | |||||||
\(308\) | −8.15638 | + | 9.72521i | −0.464753 | + | 0.554145i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.00000 | − | 8.54312i | 0.227185 | − | 0.485216i | ||||
\(311\) | 9.36426 | 0.530999 | 0.265499 | − | 0.964111i | \(-0.414463\pi\) | ||||
0.265499 | + | 0.964111i | \(0.414463\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 7.61553i | − | 0.430455i | −0.976564 | − | 0.215228i | \(-0.930951\pi\) | ||
0.976564 | − | 0.215228i | \(-0.0690493\pi\) | |||||||
\(314\) | 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 | \(0.461952\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.79741i | 0.268603i | ||||||||
\(320\) | 3.93481 | + | 6.96543i | 0.219962 | + | 0.389380i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.51524 | − | 20.7330i | 0.307352 | − | 1.15541i | ||||
\(323\) | − | 17.0862i | − | 0.950703i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 2.00000i | − | 0.110940i | ||||||
\(326\) | 0.561553 | − | 1.19935i | 0.0311015 | − | 0.0664260i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −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 | \(-0.705265\pi\) | ||
0.601086 | − | 0.799184i | \(-0.294735\pi\) | |||||||
\(332\) | 1.19935 | + | 1.43845i | 0.0658230 | + | 0.0789450i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.92456 | + | 1.36932i | 0.160025 | + | 0.0749257i | ||||
\(335\) | 14.2770 | 0.780033 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.24621 | 0.231306 | 0.115653 | − | 0.993290i | \(-0.463104\pi\) | ||||
0.115653 | + | 0.993290i | \(0.463104\pi\) | |||||||
\(338\) | −11.5270 | − | 5.39709i | −0.626985 | − | 0.293563i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.12311 | + | 10.9418i | 0.494770 | + | 0.593404i | ||||
\(341\) | − | 16.0000i | − | 0.866449i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 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 | \(0.0818925\pi\) | ||||
−0.967087 | + | 0.254444i | \(0.918107\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 27.8617i | − | 1.49140i | −0.666279 | − | 0.745702i | \(-0.732114\pi\) | ||
0.666279 | − | 0.745702i | \(-0.267886\pi\) | |||||||
\(350\) | 3.61591 | + | 0.961876i | 0.193278 | + | 0.0514145i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.0540 | + | 7.86962i | 0.589179 | + | 0.419452i | ||||
\(353\) | − | 5.36932i | − | 0.285780i | −0.989739 | − | 0.142890i | \(-0.954361\pi\) | ||
0.989739 | − | 0.142890i | \(-0.0456395\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.14441 | 0.326111 | ||||||||
\(356\) | 18.4332 | − | 15.3693i | 0.976959 | − | 0.814572i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −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 | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.80065 | + | 8.10871i | −0.356451 | + | 0.425012i | ||||
\(365\) | −9.36932 | −0.490412 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 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 | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.19935 | + | 2.56155i | −0.0623514 | + | 0.133169i | ||||
\(371\) | −5.20798 | + | 0.936426i | −0.270385 | + | 0.0486168i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 22.4924 | 1.16461 | 0.582307 | − | 0.812969i | \(-0.302150\pi\) | ||||
0.582307 | + | 0.812969i | \(0.302150\pi\) | |||||||
\(374\) | 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 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 22.4095i | − | 1.15110i | −0.817767 | − | 0.575549i | \(-0.804788\pi\) | ||
0.817767 | − | 0.575549i | \(-0.195212\pi\) | |||||||
\(380\) | −3.68466 | + | 3.07221i | −0.189019 | + | 0.157601i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.807764 | + | 1.72521i | −0.0413288 | + | 0.0882692i | ||||
\(383\) | −17.4968 | −0.894045 | −0.447023 | − | 0.894523i | \(-0.647516\pi\) | ||||
−0.447023 | + | 0.894523i | \(0.647516\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.24621 | − | 1.12311i | 0.318336 | − | 0.0572388i | ||||
\(386\) | −13.4384 | − | 6.29206i | −0.683999 | − | 0.320257i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −10.9418 | + | 9.12311i | −0.555487 | + | 0.463156i | ||||
\(389\) | −1.12311 | −0.0569437 | −0.0284719 | − | 0.999595i | \(-0.509064\pi\) | ||||
−0.0284719 | + | 0.999595i | \(0.509064\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −40.8427 | −2.06551 | ||||||||
\(392\) | −11.3895 | − | 16.1950i | −0.575256 | − | 0.817973i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 23.0540 | + | 10.7942i | 1.16144 | + | 0.543803i | ||||
\(395\) | 4.27156 | 0.214925 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 14.0000i | − | 0.702640i | −0.936255 | − | 0.351320i | \(-0.885733\pi\) | ||
0.936255 | − | 0.351320i | \(-0.114267\pi\) | |||||||
\(398\) | −20.5366 | − | 9.61553i | −1.02941 | − | 0.481983i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.719224 | − | 3.93481i | 0.0359612 | − | 0.196740i | ||||
\(401\) | −6.00000 | −0.299626 | −0.149813 | − | 0.988714i | \(-0.547867\pi\) | ||||
−0.149813 | + | 0.988714i | \(0.547867\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 13.3405i | − | 0.664539i | ||||||
\(404\) | −10.5636 | + | 8.80776i | −0.525560 | + | 0.438203i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −7.23182 | − | 1.92375i | −0.358909 | − | 0.0954742i | ||||
\(407\) | 4.79741i | 0.237799i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 8.87689i | − | 0.438934i | −0.975620 | − | 0.219467i | \(-0.929568\pi\) | ||
0.975620 | − | 0.219467i | \(-0.0704319\pi\) | |||||||
\(410\) | 9.12311 | + | 4.27156i | 0.450558 | + | 0.210957i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.87285 | − | 2.24621i | −0.0922688 | − | 0.110663i | ||||
\(413\) | 28.4924 | − | 5.12311i | 1.40202 | − | 0.252092i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 0.936426i | − | 0.0459674i | ||||||
\(416\) | 9.21662 | + | 6.56155i | 0.451882 | + | 0.321707i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −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 | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.43845 | + | 5.47091i | 0.0698572 | + | 0.265691i | ||||
\(425\) | − | 7.12311i | − | 0.345521i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.936426 | + | 5.20798i | 0.0453168 | + | 0.252032i | ||||
\(428\) | −14.5616 | + | 12.1412i | −0.703859 | + | 0.586866i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.74247 | − | 4.56155i | −0.469824 | − | 0.219978i | ||||
\(431\) | − | 36.5712i | − | 1.76157i | −0.473515 | − | 0.880786i | \(-0.657015\pi\) | ||
0.473515 | − | 0.880786i | \(-0.342985\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 11.6155i | − | 0.558207i | −0.960261 | − | 0.279103i | \(-0.909963\pi\) | ||
0.960261 | − | 0.279103i | \(-0.0900372\pi\) | |||||||
\(434\) | 24.1191 | + | 6.41597i | 1.15775 | + | 0.307976i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.43845 | + | 1.72521i | 0.0688891 | + | 0.0826224i | ||||
\(437\) | − | 13.7538i | − | 0.657933i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.1379 | 0.865677 | 0.432838 | − | 0.901472i | \(-0.357512\pi\) | ||||
0.432838 | + | 0.901472i | \(0.357512\pi\) | |||||||
\(440\) | −1.72521 | − | 6.56155i | −0.0822460 | − | 0.312810i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 18.2462 | + | 8.54312i | 0.867884 | + | 0.406355i | ||||
\(443\) | 30.3115i | 1.44014i | 0.693900 | + | 0.720071i | \(0.255891\pi\) | ||||
−0.693900 | + | 0.720071i | \(0.744109\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.0000 | −0.568855 | ||||||||
\(446\) | −16.5604 | − | 7.75379i | −0.784157 | − | 0.367153i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.2956 | + | 13.5075i | −0.769895 | + | 0.638170i | ||||
\(449\) | −25.6155 | −1.20887 | −0.604436 | − | 0.796654i | \(-0.706601\pi\) | ||||
−0.604436 | + | 0.796654i | \(0.706601\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.0862 | 0.804559 | ||||||||
\(452\) | 18.5616 | + | 22.2619i | 0.873062 | + | 1.04711i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.2856 | − | 8.56155i | −0.858185 | − | 0.401814i | ||||
\(455\) | 5.20798 | − | 0.936426i | 0.244154 | − | 0.0439003i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.00000 | 0.280668 | 0.140334 | − | 0.990104i | \(-0.455182\pi\) | ||||
0.140334 | + | 0.990104i | \(0.455182\pi\) | |||||||
\(458\) | −12.6670 | + | 27.0540i | −0.591891 | + | 1.26415i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.34376 | + | 8.80776i | 0.342405 | + | 0.410664i | ||||
\(461\) | 37.6155i | 1.75193i | 0.482375 | + | 0.875965i | \(0.339774\pi\) | ||||
−0.482375 | + | 0.875965i | \(0.660226\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 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 | \(-0.514647\pi\) | ||||
−0.0459999 | + | 0.998941i | \(0.514647\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.68466 | + | 37.1771i | 0.308669 | + | 1.71668i | ||||
\(470\) | 6.00000 | − | 12.8147i | 0.276759 | − | 0.591097i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.86962 | − | 29.9309i | −0.362228 | − | 1.37768i | ||||
\(473\) | −18.2462 | −0.838962 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.39871 | 0.110060 | ||||||||
\(476\) | −24.2209 | + | 28.8796i | −1.11016 | + | 1.32369i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −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 | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.71922 | + | 8.05872i | 0.305419 | + | 0.366305i | ||||
\(485\) | 7.12311 | 0.323444 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 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 | 0 | ||||||||
\(490\) | −0.811703 | + | 9.86616i | −0.0366690 | + | 0.445708i | ||||
\(491\) | 13.6358i | 0.615376i | 0.951487 | + | 0.307688i | \(0.0995553\pi\) | ||||
−0.951487 | + | 0.307688i | \(0.900445\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 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 | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.2069i | 1.21795i | 0.793190 | + | 0.608974i | \(0.208419\pi\) | ||||
−0.793190 | + | 0.608974i | \(0.791581\pi\) | |||||||
\(500\) | −1.53610 | + | 1.28078i | −0.0686966 | + | 0.0572781i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 21.2101 | + | 9.93087i | 0.946655 | + | 0.443236i | ||||
\(503\) | 21.4731 | 0.957437 | 0.478718 | − | 0.877968i | \(-0.341101\pi\) | ||||
0.478718 | + | 0.877968i | \(0.341101\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.87689 | 0.306018 | ||||||||
\(506\) | 17.6155 | + | 8.24782i | 0.783106 | + | 0.366660i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.3153 | − | 16.9386i | 0.901348 | − | 0.751528i | ||||
\(509\) | − | 17.6155i | − | 0.780795i | −0.920646 | − | 0.390397i | \(-0.872338\pi\) | ||
0.920646 | − | 0.390397i | \(-0.127662\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.38684 | − | 24.3976i | −0.194062 | − | 1.07929i | ||||
\(512\) | 15.7732 | + | 16.2236i | 0.697083 | + | 0.716990i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.01726 | + | 17.1231i | −0.353626 | + | 0.755268i | ||||
\(515\) | 1.46228i | 0.0644357i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 24.0000i | − | 1.05552i | ||||||
\(518\) | −7.23182 | − | 1.92375i | −0.317748 | − | 0.0845248i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.43845 | − | 5.47091i | −0.0630801 | − | 0.239915i | ||||
\(521\) | 26.2462i | 1.14987i | 0.818200 | + | 0.574934i | \(0.194972\pi\) | ||||
−0.818200 | + | 0.574934i | \(0.805028\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 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 | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.87689 | −0.429430 | ||||||||
\(530\) | 1.19935 | − | 2.56155i | 0.0520966 | − | 0.111267i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.72521 | − | 8.15638i | −0.421641 | − | 0.353624i | ||||
\(533\) | 14.2462 | 0.617072 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.47954 | 0.409836 | ||||||||
\(536\) | 39.0540 | − | 10.2683i | 1.68687 | − | 0.443524i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 32.8255 | + | 23.3693i | 1.40738 | + | 1.00195i | ||||
\(545\) | − | 1.12311i | − | 0.0481086i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 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 | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.43845 | + | 3.07221i | −0.0613356 | + | 0.130999i | ||||
\(551\) | −4.79741 | −0.204377 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 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 | \(0.543922\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.2134 | −0.643457 | ||||||||
\(560\) | 10.5830 | + | 0.0305236i | 0.447212 | + | 0.00128986i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.93087 | − | 2.77691i | −0.250179 | − | 0.117137i | ||||
\(563\) | 26.7963 | 1.12933 | 0.564665 | − | 0.825320i | \(-0.309005\pi\) | ||||
0.564665 | + | 0.825320i | \(0.309005\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 14.4924i | − | 0.609701i | ||||||
\(566\) | −31.6261 | − | 14.8078i | −1.32934 | − | 0.622417i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.8078 | − | 4.41921i | 0.705238 | − | 0.185426i | ||||
\(569\) | 37.1231 | 1.55628 | 0.778141 | − | 0.628090i | \(-0.216163\pi\) | ||||
0.778141 | + | 0.628090i | \(0.216163\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.0281i | 1.17294i | 0.809972 | + | 0.586469i | \(0.199482\pi\) | ||||
−0.809972 | + | 0.586469i | \(0.800518\pi\) | |||||||
\(572\) | −6.14441 | − | 7.36932i | −0.256911 | − | 0.308127i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.85155 | + | 25.7565i | −0.285978 | + | 1.07506i | ||||
\(575\) | − | 5.73384i | − | 0.239118i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.38447i | 0.182528i | 0.995827 | + | 0.0912640i | \(0.0290907\pi\) | ||||
−0.995827 | + | 0.0912640i | \(0.970909\pi\) | |||||||
\(578\) | 43.2116 | + | 20.2323i | 1.79737 | + | 0.841551i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.07221 | − | 2.56155i | 0.127566 | − | 0.106363i | ||||
\(581\) | 2.43845 | − | 0.438447i | 0.101164 | − | 0.0181899i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 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 | \(-0.442816\pi\) | ||||
0.178685 | + | 0.983906i | \(0.442816\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.0000 | 0.659269 | ||||||||
\(590\) | −6.56155 | + | 14.0140i | −0.270135 | + | 0.576948i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.43845 | + | 7.86962i | −0.0591198 | + | 0.323439i | ||||
\(593\) | − | 13.3693i | − | 0.549012i | −0.961585 | − | 0.274506i | \(-0.911486\pi\) | ||
0.961585 | − | 0.274506i | \(-0.0885143\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 18.5485 | − | 3.33513i | 0.760415 | − | 0.136727i | ||||
\(596\) | 24.8078 | + | 29.7533i | 1.01617 | + | 1.21874i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 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 | \(0.942051\pi\) | |||||||
\(602\) | 7.31670 | − | 27.5051i | 0.298206 | − | 1.12102i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 22.5616 | − | 18.8114i | 0.918017 | − | 0.765427i | ||||
\(605\) | − | 5.24621i | − | 0.213289i | ||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 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 | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.56155 | − | 1.19935i | −0.103714 | − | 0.0485604i | ||||
\(611\) | − | 20.0108i | − | 0.809550i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.7538 | 0.474731 | 0.237366 | − | 0.971420i | \(-0.423716\pi\) | ||||
0.237366 | + | 0.971420i | \(0.423716\pi\) | |||||||
\(614\) | 40.1692 | + | 18.8078i | 1.62110 | + | 0.759020i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 16.2785 | − | 7.56463i | 0.655878 | − | 0.304788i | ||||
\(617\) | 26.0000 | 1.04672 | 0.523360 | − | 0.852111i | \(-0.324678\pi\) | ||||
0.523360 | + | 0.852111i | \(0.324678\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −48.8600 | −1.96385 | −0.981925 | − | 0.189273i | \(-0.939387\pi\) | ||||
−0.981925 | + | 0.189273i | \(0.939387\pi\) | |||||||
\(620\) | −10.2462 | + | 8.54312i | −0.411498 | + | 0.343100i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.9935 | − | 5.61553i | −0.480897 | − | 0.225162i | ||||
\(623\) | −5.61856 | − | 31.2479i | −0.225103 | − | 1.25192i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −4.56685 | + | 9.75379i | −0.182528 | + | 0.389840i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −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 | \(0.0457509\pi\) | ||||
−0.989688 | + | 0.143236i | \(0.954249\pi\) | |||||||
\(632\) | 11.6847 | − | 3.07221i | 0.464791 | − | 0.122206i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.43845 | − | 2.54635i | −0.215988 | − | 0.101129i | ||||
\(635\) | −13.2252 | −0.524828 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.87689 | + | 13.1231i | 0.193230 | + | 0.519956i | ||||
\(638\) | 2.87689 | − | 6.14441i | 0.113897 | − | 0.243260i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.862603 | − | 11.2808i | −0.0340974 | − | 0.445912i | ||||
\(641\) | −1.12311 | −0.0443600 | −0.0221800 | − | 0.999754i | \(-0.507061\pi\) | ||||
−0.0221800 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.91269 | 0.193738 | 0.0968688 | − | 0.995297i | \(-0.469117\pi\) | ||||
0.0968688 | + | 0.995297i | \(0.469117\pi\) | |||||||
\(644\) | −19.4969 | + | 23.2470i | −0.768286 | + | 0.916061i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.2462 | + | 21.8836i | −0.403132 | + | 0.861000i | ||||
\(647\) | −37.7382 | −1.48364 | −0.741820 | − | 0.670599i | \(-0.766037\pi\) | ||||
−0.741820 | + | 0.670599i | \(0.766037\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 26.2462i | 1.03025i | ||||||||
\(650\) | −1.19935 | + | 2.56155i | −0.0470425 | + | 0.100472i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.43845 | + | 1.19935i | −0.0563339 | + | 0.0469703i | ||||
\(653\) | −42.9848 | −1.68213 | −0.841063 | − | 0.540936i | \(-0.818070\pi\) | ||||
−0.841063 | + | 0.540936i | \(0.818070\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.8664i | 0.541804i | ||||||||
\(656\) | 28.0281 | + | 5.12311i | 1.09431 | + | 0.200024i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 36.1786 | + | 9.62395i | 1.41039 | + | 0.375181i | ||||
\(659\) | − | 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 | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.673500 | − | 2.56155i | −0.0261369 | − | 0.0994075i | ||||
\(665\) | 1.12311 | + | 6.24621i | 0.0435522 | + | 0.242218i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.4677i | 0.444030i | ||||||||
\(668\) | −2.92456 | − | 3.50758i | −0.113155 | − | 0.135712i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −18.2856 | − | 8.56155i | −0.706434 | − | 0.330762i | ||||
\(671\) | −4.79741 | −0.185202 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.0000 | −0.539660 | −0.269830 | − | 0.962908i | \(-0.586968\pi\) | ||||
−0.269830 | + | 0.962908i | \(0.586968\pi\) | |||||||
\(674\) | −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 | \(-0.104240\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.33513 | + | 18.5485i | 0.127991 | + | 0.711827i | ||||
\(680\) | −5.12311 | − | 19.4849i | −0.196462 | − | 0.747213i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.59482 | + | 20.4924i | −0.367405 | + | 0.784695i | ||||
\(683\) | − | 7.60669i | − | 0.291062i | −0.989354 | − | 0.145531i | \(-0.953511\pi\) | ||
0.989354 | − | 0.145531i | \(-0.0464890\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 14.0000i | − | 0.534913i | ||||||
\(686\) | −26.0715 | + | 2.50580i | −0.995413 | + | 0.0956718i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −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 | \(-0.640165\pi\) | ||||
−0.426249 | + | 0.904606i | \(0.640165\pi\) | |||||||
\(692\) | 0.378206 | − | 0.315342i | 0.0143772 | − | 0.0119875i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.68466 | − | 12.1412i | 0.215787 | − | 0.460873i | ||||
\(695\) | 1.34700i | 0.0510946i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 50.7386 | 1.92186 | ||||||||
\(698\) | −16.7080 | + | 35.6847i | −0.632408 | + | 1.35068i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.05436 | − | 3.40032i | −0.153240 | − | 0.128520i | ||||
\(701\) | −2.87689 | −0.108659 | −0.0543294 | − | 0.998523i | \(-0.517302\pi\) | ||||
−0.0543294 | + | 0.998523i | \(0.517302\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −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 | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.73863 | −0.177963 | −0.0889816 | − | 0.996033i | \(-0.528361\pi\) | ||||
−0.0889816 | + | 0.996033i | \(0.528361\pi\) | |||||||
\(710\) | −7.86962 | − | 3.68466i | −0.295341 | − | 0.138283i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −32.8255 | + | 8.63068i | −1.23019 | + | 0.323449i | ||||
\(713\) | − | 38.2462i | − | 1.43233i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.79741i | 0.179413i | ||||||||
\(716\) | 0.807764 | − | 0.673500i | 0.0301876 | − | 0.0251699i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −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 | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.5636 | − | 8.80776i | 0.392594 | − | 0.327338i | ||||
\(725\) | −2.00000 | −0.0742781 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.2942 | 0.826847 | 0.413423 | − | 0.910539i | \(-0.364333\pi\) | ||||
0.413423 | + | 0.910539i | \(0.364333\pi\) | |||||||
\(728\) | 13.5727 | − | 6.30726i | 0.503038 | − | 0.233763i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0000 | + | 5.61856i | 0.444140 | + | 0.207952i | ||||
\(731\) | −54.1833 | −2.00404 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 48.7386i | − | 1.80020i | −0.435681 | − | 0.900101i | \(-0.643492\pi\) | ||
0.435681 | − | 0.900101i | \(-0.356508\pi\) | |||||||
\(734\) | −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 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.5087i | 0.570496i | 0.958454 | + | 0.285248i | \(0.0920759\pi\) | ||||
−0.958454 | + | 0.285248i | \(0.907924\pi\) | |||||||
\(740\) | 3.07221 | − | 2.56155i | 0.112937 | − | 0.0941646i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.23182 | + | 1.92375i | 0.265488 | + | 0.0706232i | ||||
\(743\) | − | 15.0981i | − | 0.553896i | −0.960885 | − | 0.276948i | \(-0.910677\pi\) | ||
0.960885 | − | 0.276948i | \(-0.0893229\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 19.3693i | − | 0.709637i | ||||||
\(746\) | −28.8078 | − | 13.4882i | −1.05473 | − | 0.493837i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −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 | \(-0.970381\pi\) | ||
0.995674 | − | 0.0929177i | \(-0.0296194\pi\) | |||||||
\(752\) | 7.19612 | − | 39.3693i | 0.262415 | − | 1.43565i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.39871 | − | 5.12311i | 0.0873557 | − | 0.186573i | ||||
\(755\) | −14.6875 | −0.534534 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.2462 | −0.445096 | −0.222548 | − | 0.974922i | \(-0.571437\pi\) | ||||
−0.222548 | + | 0.974922i | \(0.571437\pi\) | |||||||
\(758\) | −13.4384 | + | 28.7016i | −0.488106 | + | 1.04249i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.56155 | − | 1.72521i | 0.238013 | − | 0.0625798i | ||||
\(761\) | − | 35.2311i | − | 1.27712i | −0.769570 | − | 0.638562i | \(-0.779529\pi\) | ||
0.769570 | − | 0.638562i | \(-0.220471\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 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 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 55.2311i | 1.99168i | 0.0911037 | + | 0.995841i | \(0.470961\pi\) | ||||
−0.0911037 | + | 0.995841i | \(0.529039\pi\) | |||||||
\(770\) | −8.67350 | − | 2.30726i | −0.312571 | − | 0.0831478i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.4384 | + | 16.1174i | 0.483660 | + | 0.580079i | ||||
\(773\) | − | 16.7386i | − | 0.602047i | −0.953617 | − | 0.301023i | \(-0.902672\pi\) | ||
0.953617 | − | 0.301023i | \(-0.0973282\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.67026 | 0.239603 | ||||||||
\(776\) | 19.4849 | − | 5.12311i | 0.699469 | − | 0.183909i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 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 | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.87560 | + | 27.5722i | 0.174129 | + | 0.984723i | ||||
\(785\) | 16.2462 | 0.579852 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −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 | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.47091 | − | 2.56155i | −0.194646 | − | 0.0911360i | ||||
\(791\) | 37.7382 | − | 6.78554i | 1.34181 | − | 0.241266i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −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 | \(0.883261\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 71.2695i | − | 2.52133i | ||||||
\(800\) | −3.28078 | + | 4.60831i | −0.115993 | + | 0.162928i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 7.68466 | + | 3.59806i | 0.271355 | + | 0.127052i | ||||
\(803\) | 22.4742 | 0.793098 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.9309 | − | 2.68466i | 0.526244 | − | 0.0946218i | ||||
\(806\) | −8.00000 | + | 17.0862i | −0.281788 | + | 0.601837i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 18.8114 | − | 4.94602i | 0.661784 | − | 0.174001i | ||||
\(809\) | 18.9848 | 0.667472 | 0.333736 | − | 0.942667i | \(-0.391691\pi\) | ||||
0.333736 | + | 0.942667i | \(0.391691\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.06897 | 0.318455 | 0.159227 | − | 0.987242i | \(-0.449100\pi\) | ||||
0.159227 | + | 0.987242i | \(0.449100\pi\) | |||||||
\(812\) | 8.10871 | + | 6.80065i | 0.284560 | + | 0.238656i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.87689 | − | 6.14441i | 0.100835 | − | 0.215362i | ||||
\(815\) | 0.936426 | 0.0328016 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 18.2462i | − | 0.638354i | ||||||
\(818\) | −5.32326 | + | 11.3693i | −0.186124 | + | 0.397519i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.12311 | − | 10.9418i | −0.318593 | − | 0.382105i | ||||
\(821\) | 25.6155 | 0.893988 | 0.446994 | − | 0.894537i | \(-0.352495\pi\) | ||||
0.446994 | + | 0.894537i | \(0.352495\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 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 | ||||||||
\(826\) | −39.5646 | − | 10.5247i | −1.37663 | − | 0.366200i | ||||
\(827\) | − | 0.115279i | − | 0.00400866i | −0.999998 | − | 0.00200433i | \(-0.999362\pi\) | ||
0.999998 | − | 0.00200433i | \(-0.000637998\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.2462i | 1.11996i | 0.828507 | + | 0.559979i | \(0.189191\pi\) | ||||
−0.828507 | + | 0.559979i | \(0.810809\pi\) | |||||||
\(830\) | −0.561553 | + | 1.19935i | −0.0194918 | + | 0.0416301i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −7.86962 | − | 13.9309i | −0.272830 | − | 0.482966i | ||||
\(833\) | 17.3693 | + | 46.7386i | 0.601811 | + | 1.61940i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.28343i | 0.0790212i | ||||||||
\(836\) | 8.83841 | − | 7.36932i | 0.305683 | − | 0.254873i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −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 | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −28.3153 | + | 23.6089i | −0.974654 | + | 0.812650i | ||||
\(845\) | − | 9.00000i | − | 0.309609i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.6611 | − | 2.45635i | 0.469401 | − | 0.0844010i | ||||
\(848\) | 1.43845 | − | 7.86962i | 0.0493965 | − | 0.270244i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.27156 | + | 9.12311i | −0.146513 | + | 0.312920i | ||||
\(851\) | 11.4677i | 0.393107i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.75379i | 0.265485i | 0.991151 | + | 0.132742i | \(0.0423783\pi\) | ||||
−0.991151 | + | 0.132742i | \(0.957622\pi\) | |||||||
\(854\) | 1.92375 | − | 7.23182i | 0.0658295 | − | 0.247468i | ||||
\(855\) | 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 | \(0.914064\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.3686 | −1.41148 | −0.705739 | − | 0.708472i | \(-0.749385\pi\) | ||||
−0.705739 | + | 0.708472i | \(0.749385\pi\) | |||||||
\(860\) | 9.74247 | + | 11.6847i | 0.332215 | + | 0.398444i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.9309 | + | 46.8395i | −0.746968 | + | 1.59536i | ||||
\(863\) | 41.7792i | 1.42218i | 0.703101 | + | 0.711090i | \(0.251798\pi\) | ||||
−0.703101 | + | 0.711090i | \(0.748202\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.246211 | −0.00837143 | ||||||||
\(866\) | −6.96556 | + | 14.8769i | −0.236699 | + | 0.505537i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −27.0436 | − | 22.6811i | −0.917920 | − | 0.769845i | ||||
\(869\) | −10.2462 | −0.347579 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −28.5539 | −0.967512 | ||||||||
\(872\) | −0.807764 | − | 3.07221i | −0.0273543 | − | 0.104038i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −8.24782 | + | 17.6155i | −0.278987 | + | 0.595854i | ||||
\(875\) | 0.468213 | + | 2.60399i | 0.0158285 | + | 0.0880310i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −48.7386 | −1.64579 | −0.822893 | − | 0.568196i | \(-0.807642\pi\) | ||||
−0.822893 | + | 0.568196i | \(0.807642\pi\) | |||||||
\(878\) | −23.2306 | − | 10.8769i | −0.783996 | − | 0.367077i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.72521 | + | 9.43845i | −0.0581567 | + | 0.318170i | ||||
\(881\) | − | 6.63068i | − | 0.223393i | −0.993742 | − | 0.111697i | \(-0.964371\pi\) | ||
0.993742 | − | 0.111697i | \(-0.0356285\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 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 | \(-0.596191\pi\) | ||||
−0.297613 | + | 0.954686i | \(0.596191\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.19224 | − | 34.4384i | −0.207681 | − | 1.15503i | ||||
\(890\) | 15.3693 | + | 7.19612i | 0.515181 | + | 0.241214i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 16.5604 | + | 19.8617i | 0.554483 | + | 0.665020i | ||||
\(893\) | 24.0000 | 0.803129 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.525853 | −0.0175773 | ||||||||
\(896\) | 28.9712 | − | 7.52802i | 0.967859 | − | 0.251493i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 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 | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.4233 | − | 39.6434i | −0.346674 | − | 1.31852i | ||||
\(905\) | −6.87689 | −0.228596 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 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 | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −7.23182 | − | 1.92375i | −0.239732 | − | 0.0637718i | ||||
\(911\) | 10.9418i | 0.362519i | 0.983435 | + | 0.181259i | \(0.0580174\pi\) | ||||
−0.983435 | + | 0.181259i | \(0.941983\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 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 | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 29.9009i | − | 0.986340i | −0.869933 | − | 0.493170i | \(-0.835838\pi\) | ||
0.869933 | − | 0.493170i | \(-0.164162\pi\) | |||||||
\(920\) | −4.12391 | − | 15.6847i | −0.135961 | − | 0.517108i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.5571 | − | 48.1771i | 0.742880 | − | 1.58663i | ||||
\(923\) | −12.2888 | −0.404492 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.00000 | −0.0657596 | ||||||||
\(926\) | 13.1922 | − | 28.1757i | 0.433524 | − | 0.925911i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 6.56155 | − | 9.21662i | 0.215394 | − | 0.302550i | ||||
\(929\) | 12.8769i | 0.422477i | 0.977435 | + | 0.211239i | \(0.0677497\pi\) | ||||
−0.977435 | + | 0.211239i | \(0.932250\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.7392 | + | 5.84912i | −0.515833 | + | 0.191697i | ||||
\(932\) | −31.0540 | − | 37.2447i | −1.01721 | − | 1.21999i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.54635 | + | 1.19224i | 0.0833192 | + | 0.0390112i | ||||
\(935\) | 17.0862i | 0.558780i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.1080i | 1.17960i | 0.807551 | + | 0.589798i | \(0.200793\pi\) | ||||
−0.807551 | + | 0.589798i | \(0.799207\pi\) | |||||||
\(938\) | 13.7327 | − | 51.6242i | 0.448387 | − | 1.68559i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.3693 | + | 12.8147i | −0.501292 | + | 0.417969i | ||||
\(941\) | − | 51.3693i | − | 1.67459i | −0.546750 | − | 0.837296i | \(-0.684135\pi\) | ||
0.546750 | − | 0.837296i | \(-0.315865\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 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 | \(-0.900952\pi\) | ||
0.951977 | − | 0.306171i | \(-0.0990478\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.7386 | 0.608282 | ||||||||
\(950\) | −3.07221 | − | 1.43845i | −0.0996755 | − | 0.0466694i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 48.3399 | − | 22.4636i | 1.56671 | − | 0.728051i | ||||
\(953\) | −11.7538 | −0.380743 | −0.190371 | − | 0.981712i | \(-0.560969\pi\) | ||||
−0.190371 | + | 0.981712i | \(0.560969\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.34700 | −0.0435879 | ||||||||
\(956\) | 19.6847 | − | 16.4127i | 0.636647 | − | 0.530826i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 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 | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −23.9871 | + | 20.0000i | −0.772571 | + | 0.644157i | ||||
\(965\) | − | 10.4924i | − | 0.337763i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 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 | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.12311 | − | 4.27156i | −0.292925 | − | 0.137151i | ||||
\(971\) | 0.525853 | 0.0168754 | 0.00843771 | − | 0.999964i | \(-0.497314\pi\) | ||||
0.00843771 | + | 0.999964i | \(0.497314\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −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 | 0 | ||||||||
\(979\) | 28.7845 | 0.919956 | ||||||||
\(980\) | 6.95611 | − | 12.1496i | 0.222205 | − | 0.388104i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 8.17708 | − | 17.4644i | 0.260941 | − | 0.557313i | ||||
\(983\) | 12.6994 | 0.405048 | 0.202524 | − | 0.979277i | \(-0.435086\pi\) | ||||
0.202524 | + | 0.979277i | \(0.435086\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.0000i | 0.573528i | ||||||||
\(986\) | 8.54312 | − | 18.2462i | 0.272068 | − | 0.581078i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 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 | \(-0.815598\pi\) | ||
0.836837 | − | 0.547452i | \(-0.184402\pi\) | |||||||
\(992\) | −21.8836 | + | 30.7386i | −0.694806 | + | 0.975953i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.91016 | − | 22.2176i | 0.187459 | − | 0.704700i | ||||
\(995\) | − | 16.0345i | − | 0.508329i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 38.4924i | − | 1.21907i | −0.792760 | − | 0.609534i | \(-0.791357\pi\) | ||
0.792760 | − | 0.609534i | \(-0.208643\pi\) | |||||||
\(998\) | 16.3153 | − | 34.8460i | 0.516453 | − | 1.10303i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))