Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1323,2,Mod(226,1323)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1323, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1323.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.h (of order \(3\), degree \(2\), not 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: | \(10.5642081874\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 802.2 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.802 |
Dual form | 1323.2.h.b.226.2 |
$q$-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 \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34730 | −0.952682 | −0.476341 | − | 0.879261i | \(-0.658037\pi\) | ||||
−0.476341 | + | 0.879261i | \(0.658037\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.184793 | −0.0923963 | ||||||||
\(5\) | −1.26604 | + | 2.19285i | −0.566192 | + | 0.980674i | 0.430745 | + | 0.902473i | \(0.358251\pi\) |
−0.996938 | + | 0.0782003i | \(0.975083\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.94356 | 1.04071 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.70574 | − | 2.95442i | 0.539401 | − | 0.934271i | ||||
\(11\) | 0.233956 | + | 0.405223i | 0.0705403 | + | 0.122179i | 0.899138 | − | 0.437665i | \(-0.144194\pi\) |
−0.828598 | + | 0.559844i | \(0.810861\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.91147 | + | 5.04282i | 0.807498 | + | 1.39863i | 0.914592 | + | 0.404378i | \(0.132512\pi\) |
−0.107094 | + | 0.994249i | \(0.534155\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.59627 | −0.899067 | ||||||||
\(17\) | −1.93969 | + | 3.35965i | −0.470445 | + | 0.814834i | −0.999429 | − | 0.0337978i | \(-0.989240\pi\) |
0.528984 | + | 0.848632i | \(0.322573\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.09240 | − | 1.89209i | −0.250613 | − | 0.434074i | 0.713082 | − | 0.701081i | \(-0.247299\pi\) |
−0.963695 | + | 0.267007i | \(0.913965\pi\) | |||||||
\(20\) | 0.233956 | − | 0.405223i | 0.0523141 | − | 0.0906106i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.315207 | − | 0.545955i | −0.0672025 | − | 0.116398i | ||||
\(23\) | −0.0530334 | + | 0.0918566i | −0.0110582 | + | 0.0191534i | −0.871502 | − | 0.490393i | \(-0.836853\pi\) |
0.860443 | + | 0.509546i | \(0.170187\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.705737 | − | 1.22237i | −0.141147 | − | 0.244474i | ||||
\(26\) | −3.92262 | − | 6.79417i | −0.769289 | − | 1.33245i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.39053 | − | 7.60462i | 0.815301 | − | 1.41214i | −0.0938108 | − | 0.995590i | \(-0.529905\pi\) |
0.909112 | − | 0.416552i | \(-0.136762\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.68004 | 1.37938 | 0.689688 | − | 0.724106i | \(-0.257748\pi\) | ||||
0.689688 | + | 0.724106i | \(0.257748\pi\) | |||||||
\(32\) | −1.04189 | −0.184182 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.61334 | − | 4.52644i | 0.448184 | − | 0.776278i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.84002 | + | 6.65111i | 0.631296 | + | 1.09344i | 0.987287 | + | 0.158947i | \(0.0508099\pi\) |
−0.355991 | + | 0.934489i | \(0.615857\pi\) | |||||||
\(38\) | 1.47178 | + | 2.54920i | 0.238754 | + | 0.413535i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.72668 | + | 6.45480i | −0.589240 | + | 1.02059i | ||||
\(41\) | 1.11334 | + | 1.92836i | 0.173875 | + | 0.301160i | 0.939771 | − | 0.341804i | \(-0.111038\pi\) |
−0.765897 | + | 0.642964i | \(0.777705\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.613341 | + | 1.06234i | −0.0935336 | + | 0.162005i | −0.908996 | − | 0.416806i | \(-0.863150\pi\) |
0.815462 | + | 0.578811i | \(0.196483\pi\) | |||||||
\(44\) | −0.0432332 | − | 0.0748822i | −0.00651766 | − | 0.0112889i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0714517 | − | 0.123758i | 0.0105350 | − | 0.0182471i | ||||
\(47\) | −5.33275 | −0.777861 | −0.388931 | − | 0.921267i | \(-0.627155\pi\) | ||||
−0.388931 | + | 0.921267i | \(0.627155\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.950837 | + | 1.64690i | 0.134469 | + | 0.232907i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.538019 | − | 0.931876i | −0.0746098 | − | 0.129228i | ||||
\(53\) | −0.358441 | + | 0.620838i | −0.0492356 | + | 0.0852786i | −0.889593 | − | 0.456754i | \(-0.849012\pi\) |
0.840357 | + | 0.542033i | \(0.182345\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.18479 | −0.159757 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.91534 | + | 10.2457i | −0.776723 | + | 1.34532i | ||||
\(59\) | 0.736482 | 0.0958818 | 0.0479409 | − | 0.998850i | \(-0.484734\pi\) | ||||
0.0479409 | + | 0.998850i | \(0.484734\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.958111 | −0.122674 | −0.0613368 | − | 0.998117i | \(-0.519536\pi\) | ||||
−0.0613368 | + | 0.998117i | \(0.519536\pi\) | |||||||
\(62\) | −10.3473 | −1.31411 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.59627 | 1.07453 | ||||||||
\(65\) | −14.7442 | −1.82880 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.63816 | −1.17749 | −0.588744 | − | 0.808320i | \(-0.700377\pi\) | ||||
−0.588744 | + | 0.808320i | \(0.700377\pi\) | |||||||
\(68\) | 0.358441 | − | 0.620838i | 0.0434673 | − | 0.0752876i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.2344 | −1.57064 | −0.785318 | − | 0.619092i | \(-0.787501\pi\) | ||||
−0.785318 | + | 0.619092i | \(0.787501\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.13429 | + | 8.89284i | −0.600923 | + | 1.04083i | 0.391759 | + | 0.920068i | \(0.371867\pi\) |
−0.992682 | + | 0.120761i | \(0.961467\pi\) | |||||||
\(74\) | −5.17365 | − | 8.96102i | −0.601424 | − | 1.04170i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.201867 | + | 0.349643i | 0.0231557 | + | 0.0401068i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.6382 | −1.42190 | −0.710952 | − | 0.703241i | \(-0.751736\pi\) | ||||
−0.710952 | + | 0.703241i | \(0.751736\pi\) | |||||||
\(80\) | 4.55303 | − | 7.88609i | 0.509045 | − | 0.881691i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.50000 | − | 2.59808i | −0.165647 | − | 0.286910i | ||||
\(83\) | 1.36571 | − | 2.36549i | 0.149907 | − | 0.259646i | −0.781286 | − | 0.624173i | \(-0.785436\pi\) |
0.931193 | + | 0.364527i | \(0.118769\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.91147 | − | 8.50692i | −0.532724 | − | 0.922705i | ||||
\(86\) | 0.826352 | − | 1.43128i | 0.0891078 | − | 0.154339i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.688663 | + | 1.19280i | 0.0734117 | + | 0.127153i | ||||
\(89\) | 4.05690 | + | 7.02676i | 0.430031 | + | 0.744835i | 0.996875 | − | 0.0789894i | \(-0.0251693\pi\) |
−0.566845 | + | 0.823825i | \(0.691836\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.00980018 | − | 0.0169744i | 0.00102174 | − | 0.00176970i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.18479 | 0.741055 | ||||||||
\(95\) | 5.53209 | 0.567580 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.80200 | + | 11.7814i | −0.690639 | + | 1.19622i | 0.280990 | + | 0.959711i | \(0.409337\pi\) |
−0.971629 | + | 0.236511i | \(0.923996\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.130415 | + | 0.225885i | 0.0130415 | + | 0.0225885i | ||||
\(101\) | 4.78699 | + | 8.29131i | 0.476323 | + | 0.825016i | 0.999632 | − | 0.0271271i | \(-0.00863590\pi\) |
−0.523309 | + | 0.852143i | \(0.675303\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.52094 | − | 2.63435i | 0.149863 | − | 0.259571i | −0.781314 | − | 0.624139i | \(-0.785450\pi\) |
0.931177 | + | 0.364568i | \(0.118783\pi\) | |||||||
\(104\) | 8.57011 | + | 14.8439i | 0.840368 | + | 1.45556i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.482926 | − | 0.836452i | 0.0469059 | − | 0.0812434i | ||||
\(107\) | −3.25877 | − | 5.64436i | −0.315037 | − | 0.545660i | 0.664408 | − | 0.747370i | \(-0.268684\pi\) |
−0.979445 | + | 0.201709i | \(0.935350\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.31908 | + | 9.21291i | −0.509475 | + | 0.882437i | 0.490465 | + | 0.871461i | \(0.336827\pi\) |
−0.999940 | + | 0.0109759i | \(0.996506\pi\) | |||||||
\(110\) | 1.59627 | 0.152198 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.58853 | + | 4.48346i | 0.243508 | + | 0.421768i | 0.961711 | − | 0.274065i | \(-0.0883684\pi\) |
−0.718203 | + | 0.695834i | \(0.755035\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.134285 | − | 0.232589i | −0.0125222 | − | 0.0216890i | ||||
\(116\) | −0.811337 | + | 1.40528i | −0.0753308 | + | 0.130477i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.992259 | −0.0913449 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.39053 | − | 9.33667i | 0.490048 | − | 0.848788i | ||||
\(122\) | 1.29086 | 0.116869 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.41921 | −0.127449 | ||||||||
\(125\) | −9.08647 | −0.812718 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.88207 | −0.788157 | −0.394078 | − | 0.919077i | \(-0.628936\pi\) | ||||
−0.394078 | + | 0.919077i | \(0.628936\pi\) | |||||||
\(128\) | −9.49794 | −0.839507 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 19.8648 | 1.74226 | ||||||||
\(131\) | −5.68139 | + | 9.84045i | −0.496385 | + | 0.859764i | −0.999991 | − | 0.00416893i | \(-0.998673\pi\) |
0.503606 | + | 0.863933i | \(0.332006\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.9855 | 1.12177 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.70961 | + | 9.88933i | −0.489595 | + | 0.848003i | ||||
\(137\) | −2.86231 | − | 4.95767i | −0.244544 | − | 0.423562i | 0.717459 | − | 0.696600i | \(-0.245305\pi\) |
−0.962003 | + | 0.273038i | \(0.911972\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.461981 | − | 0.800175i | −0.0391847 | − | 0.0678700i | 0.845768 | − | 0.533551i | \(-0.179143\pi\) |
−0.884953 | + | 0.465681i | \(0.845809\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 17.8307 | 1.49632 | ||||||||
\(143\) | −1.36231 | + | 2.35959i | −0.113922 | + | 0.197319i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.1172 | + | 19.2556i | 0.923234 | + | 1.59909i | ||||
\(146\) | 6.91740 | − | 11.9813i | 0.572488 | − | 0.991579i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.709607 | − | 1.22908i | −0.0583294 | − | 0.101029i | ||||
\(149\) | 4.36231 | − | 7.55574i | 0.357374 | − | 0.618991i | −0.630147 | − | 0.776476i | \(-0.717005\pi\) |
0.987521 | + | 0.157485i | \(0.0503387\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.21348 | − | 15.9582i | −0.749782 | − | 1.29866i | −0.947927 | − | 0.318488i | \(-0.896825\pi\) |
0.198145 | − | 0.980173i | \(-0.436508\pi\) | |||||||
\(152\) | −3.21554 | − | 5.56947i | −0.260815 | − | 0.451744i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −9.72328 | + | 16.8412i | −0.780992 | + | 1.35272i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.92396 | −0.392975 | −0.196488 | − | 0.980506i | \(-0.562954\pi\) | ||||
−0.196488 | + | 0.980506i | \(0.562954\pi\) | |||||||
\(158\) | 17.0273 | 1.35462 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.31908 | − | 2.28471i | 0.104282 | − | 0.180622i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.81908 | − | 6.61484i | −0.299133 | − | 0.518114i | 0.676805 | − | 0.736163i | \(-0.263364\pi\) |
−0.975938 | + | 0.218049i | \(0.930031\pi\) | |||||||
\(164\) | −0.205737 | − | 0.356347i | −0.0160654 | − | 0.0278260i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.84002 | + | 3.18701i | −0.142813 | + | 0.247360i | ||||
\(167\) | 2.82770 | + | 4.89771i | 0.218814 | + | 0.378996i | 0.954446 | − | 0.298385i | \(-0.0964480\pi\) |
−0.735632 | + | 0.677382i | \(0.763115\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.4534 | + | 18.1058i | −0.804105 | + | 1.39275i | ||||
\(170\) | 6.61721 | + | 11.4613i | 0.507517 | + | 0.879045i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.113341 | − | 0.196312i | 0.00864215 | − | 0.0149687i | ||||
\(173\) | 21.0692 | 1.60186 | 0.800932 | − | 0.598755i | \(-0.204338\pi\) | ||||
0.800932 | + | 0.598755i | \(0.204338\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.841367 | − | 1.45729i | −0.0634204 | − | 0.109847i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.46585 | − | 9.46713i | −0.409683 | − | 0.709592i | ||||
\(179\) | −2.56031 | + | 4.43458i | −0.191366 | + | 0.331456i | −0.945703 | − | 0.325031i | \(-0.894625\pi\) |
0.754337 | + | 0.656487i | \(0.227959\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.319955 | 0.0237821 | 0.0118910 | − | 0.999929i | \(-0.496215\pi\) | ||||
0.0118910 | + | 0.999929i | \(0.496215\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.156107 | + | 0.270386i | −0.0115084 | + | 0.0199331i | ||||
\(185\) | −19.4466 | −1.42974 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.81521 | −0.132741 | ||||||||
\(188\) | 0.985452 | 0.0718715 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.45336 | −0.540724 | ||||||||
\(191\) | 15.5672 | 1.12640 | 0.563200 | − | 0.826320i | \(-0.309570\pi\) | ||||
0.563200 | + | 0.826320i | \(0.309570\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.04189 | 0.434905 | 0.217452 | − | 0.976071i | \(-0.430225\pi\) | ||||
0.217452 | + | 0.976071i | \(0.430225\pi\) | |||||||
\(194\) | 9.16431 | − | 15.8731i | 0.657959 | − | 1.13962i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −25.2344 | −1.79788 | −0.898939 | − | 0.438074i | \(-0.855661\pi\) | ||||
−0.898939 | + | 0.438074i | \(0.855661\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.52094 | − | 2.63435i | 0.107817 | − | 0.186744i | −0.807069 | − | 0.590458i | \(-0.798947\pi\) |
0.914886 | + | 0.403713i | \(0.132281\pi\) | |||||||
\(200\) | −2.07738 | − | 3.59813i | −0.146893 | − | 0.254426i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.44949 | − | 11.1708i | −0.453785 | − | 0.785978i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.63816 | −0.393786 | ||||||||
\(206\) | −2.04916 | + | 3.54925i | −0.142772 | + | 0.247288i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4704 | − | 18.1353i | −0.725994 | − | 1.25746i | ||||
\(209\) | 0.511144 | − | 0.885328i | 0.0353566 | − | 0.0612394i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.72668 | + | 4.72275i | 0.187713 | + | 0.325128i | 0.944487 | − | 0.328548i | \(-0.106559\pi\) |
−0.756775 | + | 0.653676i | \(0.773226\pi\) | |||||||
\(212\) | 0.0662372 | − | 0.114726i | 0.00454919 | − | 0.00787942i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.39053 | + | 7.60462i | 0.300130 | + | 0.519841i | ||||
\(215\) | −1.55303 | − | 2.68993i | −0.105916 | − | 0.183452i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.16637 | − | 12.4125i | 0.485368 | − | 0.840682i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.218941 | 0.0147610 | ||||||||
\(221\) | −22.5895 | −1.51953 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.09627 | − | 12.2911i | 0.475201 | − | 0.823073i | −0.524395 | − | 0.851475i | \(-0.675709\pi\) |
0.999597 | + | 0.0284023i | \(0.00904195\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.48751 | − | 6.04055i | −0.231986 | − | 0.401811i | ||||
\(227\) | 1.44697 | + | 2.50622i | 0.0960385 | + | 0.166344i | 0.910042 | − | 0.414517i | \(-0.136049\pi\) |
−0.814003 | + | 0.580861i | \(0.802716\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.58378 | − | 7.93934i | 0.302905 | − | 0.524646i | −0.673888 | − | 0.738834i | \(-0.735377\pi\) |
0.976793 | + | 0.214187i | \(0.0687103\pi\) | |||||||
\(230\) | 0.180922 | + | 0.313366i | 0.0119297 | + | 0.0206628i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.9238 | − | 22.3847i | 0.848489 | − | 1.46963i | ||||
\(233\) | 6.63563 | + | 11.4932i | 0.434715 | + | 0.752948i | 0.997272 | − | 0.0738103i | \(-0.0235159\pi\) |
−0.562558 | + | 0.826758i | \(0.690183\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.75150 | − | 11.6939i | 0.440419 | − | 0.762828i | ||||
\(236\) | −0.136096 | −0.00885912 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.76857 | + | 8.25941i | 0.308453 | + | 0.534257i | 0.978024 | − | 0.208491i | \(-0.0668553\pi\) |
−0.669571 | + | 0.742748i | \(0.733522\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.47906 | − | 7.75795i | −0.288521 | − | 0.499734i | 0.684936 | − | 0.728604i | \(-0.259830\pi\) |
−0.973457 | + | 0.228870i | \(0.926497\pi\) | |||||||
\(242\) | −7.26264 | + | 12.5793i | −0.466860 | + | 0.808626i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.177052 | 0.0113346 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.36097 | − | 11.0175i | 0.404739 | − | 0.701028i | ||||
\(248\) | 22.6067 | 1.43553 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.2422 | 0.774262 | ||||||||
\(251\) | −24.9982 | −1.57788 | −0.788938 | − | 0.614473i | \(-0.789369\pi\) | ||||
−0.788938 | + | 0.614473i | \(0.789369\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0496299 | −0.00312020 | ||||||||
\(254\) | 11.9668 | 0.750863 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.39599 | −0.274750 | ||||||||
\(257\) | −5.42602 | + | 9.39815i | −0.338466 | + | 0.586240i | −0.984144 | − | 0.177369i | \(-0.943241\pi\) |
0.645678 | + | 0.763609i | \(0.276575\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.72462 | 0.168974 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.65451 | − | 13.2580i | 0.472897 | − | 0.819082i | ||||
\(263\) | 13.0437 | + | 22.5924i | 0.804309 | + | 1.39310i | 0.916757 | + | 0.399446i | \(0.130798\pi\) |
−0.112448 | + | 0.993658i | \(0.535869\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.907604 | − | 1.57202i | −0.0557537 | − | 0.0965682i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.78106 | 0.108796 | ||||||||
\(269\) | 3.81655 | − | 6.61046i | 0.232699 | − | 0.403047i | −0.725902 | − | 0.687798i | \(-0.758578\pi\) |
0.958602 | + | 0.284751i | \(0.0919109\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.70187 | + | 2.94772i | 0.103381 | + | 0.179061i | 0.913076 | − | 0.407790i | \(-0.133701\pi\) |
−0.809695 | + | 0.586852i | \(0.800367\pi\) | |||||||
\(272\) | 6.97565 | − | 12.0822i | 0.422961 | − | 0.732590i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.85638 | + | 6.67945i | 0.232973 | + | 0.403520i | ||||
\(275\) | 0.330222 | − | 0.571962i | 0.0199131 | − | 0.0344906i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.86097 | + | 4.95534i | 0.171899 | + | 0.297738i | 0.939084 | − | 0.343689i | \(-0.111676\pi\) |
−0.767185 | + | 0.641426i | \(0.778343\pi\) | |||||||
\(278\) | 0.622426 | + | 1.07807i | 0.0373306 | + | 0.0646585i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.1887 | − | 24.5755i | 0.846425 | − | 1.46605i | −0.0379535 | − | 0.999280i | \(-0.512084\pi\) |
0.884378 | − | 0.466771i | \(-0.154583\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.57129 | −0.271735 | −0.135867 | − | 0.990727i | \(-0.543382\pi\) | ||||
−0.135867 | + | 0.990727i | \(0.543382\pi\) | |||||||
\(284\) | 2.44562 | 0.145121 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.83544 | − | 3.17907i | 0.108532 | − | 0.187982i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.975185 | + | 1.68907i | 0.0573638 | + | 0.0993571i | ||||
\(290\) | −14.9782 | − | 25.9430i | −0.879549 | − | 1.52342i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.948778 | − | 1.64333i | 0.0555230 | − | 0.0961687i | ||||
\(293\) | −2.16385 | − | 3.74789i | −0.126413 | − | 0.218954i | 0.795871 | − | 0.605466i | \(-0.207013\pi\) |
−0.922285 | + | 0.386512i | \(0.873680\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.932419 | + | 1.61500i | −0.0542875 | + | 0.0940287i | ||||
\(296\) | 11.3033 | + | 19.5780i | 0.656994 | + | 1.13795i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.87733 | + | 10.1798i | −0.340464 | + | 0.589702i | ||||
\(299\) | −0.617622 | −0.0357180 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.4133 | + | 21.5004i | 0.714304 | + | 1.23721i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.92855 | + | 6.80445i | 0.225318 | + | 0.390262i | ||||
\(305\) | 1.21301 | − | 2.10100i | 0.0694568 | − | 0.120303i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3773 | −0.706411 | −0.353206 | − | 0.935546i | \(-0.614908\pi\) | ||||
−0.353206 | + | 0.935546i | \(0.614908\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 13.1001 | − | 22.6901i | 0.744038 | − | 1.28871i | ||||
\(311\) | −21.9855 | −1.24668 | −0.623340 | − | 0.781951i | \(-0.714225\pi\) | ||||
−0.623340 | + | 0.781951i | \(0.714225\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.8898 | 0.785099 | 0.392549 | − | 0.919731i | \(-0.371593\pi\) | ||||
0.392549 | + | 0.919731i | \(0.371593\pi\) | |||||||
\(314\) | 6.63404 | 0.374380 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.33544 | 0.131379 | ||||||||
\(317\) | 6.18210 | 0.347222 | 0.173611 | − | 0.984814i | \(-0.444457\pi\) | ||||
0.173611 | + | 0.984814i | \(0.444457\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.10876 | 0.230046 | ||||||||
\(320\) | −10.8833 | + | 18.8504i | −0.608392 | + | 1.05377i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.47565 | 0.471598 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.10947 | − | 7.11781i | 0.227952 | − | 0.394825i | ||||
\(326\) | 5.14543 | + | 8.91215i | 0.284979 | + | 0.493598i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.27719 | + | 5.67626i | 0.180952 | + | 0.313419i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.7314 | 0.589853 | 0.294926 | − | 0.955520i | \(-0.404705\pi\) | ||||
0.294926 | + | 0.955520i | \(0.404705\pi\) | |||||||
\(332\) | −0.252374 | + | 0.437124i | −0.0138508 | + | 0.0239903i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.80974 | − | 6.59867i | −0.208460 | − | 0.361063i | ||||
\(335\) | 12.2023 | − | 21.1351i | 0.666685 | − | 1.15473i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.29726 | + | 16.1033i | 0.506454 | + | 0.877204i | 0.999972 | + | 0.00746831i | \(0.00237726\pi\) |
−0.493518 | + | 0.869735i | \(0.664289\pi\) | |||||||
\(338\) | 14.0838 | − | 24.3938i | 0.766057 | − | 1.32685i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.907604 | + | 1.57202i | 0.0492217 | + | 0.0852545i | ||||
\(341\) | 1.79679 | + | 3.11213i | 0.0973016 | + | 0.168531i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −1.80541 | + | 3.12706i | −0.0973410 | + | 0.168600i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −28.3865 | −1.52607 | ||||||||
\(347\) | 20.4124 | 1.09580 | 0.547898 | − | 0.836545i | \(-0.315428\pi\) | ||||
0.547898 | + | 0.836545i | \(0.315428\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.78106 | + | 3.08489i | −0.0953379 | + | 0.165130i | −0.909750 | − | 0.415157i | \(-0.863726\pi\) |
0.814412 | + | 0.580288i | \(0.197060\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.243756 | − | 0.422197i | −0.0129922 | − | 0.0225032i | ||||
\(353\) | −5.01114 | − | 8.67956i | −0.266716 | − | 0.461966i | 0.701296 | − | 0.712871i | \(-0.252605\pi\) |
−0.968012 | + | 0.250904i | \(0.919272\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 16.7554 | − | 29.0211i | 0.889283 | − | 1.54028i | ||||
\(356\) | −0.749686 | − | 1.29849i | −0.0397333 | − | 0.0688200i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.44949 | − | 5.97470i | 0.182311 | − | 0.315773i | ||||
\(359\) | 4.74035 | + | 8.21053i | 0.250186 | + | 0.433335i | 0.963577 | − | 0.267431i | \(-0.0861748\pi\) |
−0.713391 | + | 0.700766i | \(0.752841\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.11334 | − | 12.3207i | 0.374386 | − | 0.648456i | ||||
\(362\) | −0.431074 | −0.0226568 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.0005 | − | 22.5175i | −0.680476 | − | 1.17862i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.06670 | + | 13.9719i | 0.421079 | + | 0.729329i | 0.996045 | − | 0.0888474i | \(-0.0283183\pi\) |
−0.574967 | + | 0.818177i | \(0.694985\pi\) | |||||||
\(368\) | 0.190722 | − | 0.330341i | 0.00994209 | − | 0.0172202i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 26.2003 | 1.36209 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.02481 | + | 12.1673i | −0.363731 | + | 0.630001i | −0.988572 | − | 0.150752i | \(-0.951831\pi\) |
0.624841 | + | 0.780752i | \(0.285164\pi\) | |||||||
\(374\) | 2.44562 | 0.126460 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.6973 | −0.809525 | ||||||||
\(377\) | 51.1317 | 2.63341 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0574 | 0.824812 | 0.412406 | − | 0.911000i | \(-0.364689\pi\) | ||||
0.412406 | + | 0.911000i | \(0.364689\pi\) | |||||||
\(380\) | −1.02229 | −0.0524423 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.9736 | −1.07310 | ||||||||
\(383\) | 16.0103 | − | 27.7306i | 0.818086 | − | 1.41697i | −0.0890039 | − | 0.996031i | \(-0.528368\pi\) |
0.907090 | − | 0.420936i | \(-0.138298\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.14022 | −0.414326 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.25696 | − | 2.17712i | 0.0638124 | − | 0.110526i | ||||
\(389\) | −15.0214 | − | 26.0178i | −0.761616 | − | 1.31916i | −0.942017 | − | 0.335564i | \(-0.891073\pi\) |
0.180402 | − | 0.983593i | \(-0.442260\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.205737 | − | 0.356347i | −0.0104046 | − | 0.0180212i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 33.9982 | 1.71281 | ||||||||
\(395\) | 16.0005 | − | 27.7136i | 0.805071 | − | 1.39442i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.15998 | − | 10.6694i | −0.309160 | − | 0.535482i | 0.669019 | − | 0.743246i | \(-0.266715\pi\) |
−0.978179 | + | 0.207764i | \(0.933381\pi\) | |||||||
\(398\) | −2.04916 | + | 3.54925i | −0.102715 | + | 0.177908i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.53802 | + | 4.39598i | 0.126901 | + | 0.219799i | ||||
\(401\) | 10.4880 | − | 18.1657i | 0.523745 | − | 0.907152i | −0.475873 | − | 0.879514i | \(-0.657868\pi\) |
0.999618 | − | 0.0276385i | \(-0.00879873\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 22.3603 | + | 38.7291i | 1.11384 | + | 1.92923i | ||||
\(404\) | −0.884600 | − | 1.53217i | −0.0440105 | − | 0.0762284i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.79679 | + | 3.11213i | −0.0890635 | + | 0.154263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.6614 | −1.26887 | −0.634437 | − | 0.772975i | \(-0.718768\pi\) | ||||
−0.634437 | + | 0.772975i | \(0.718768\pi\) | |||||||
\(410\) | 7.59627 | 0.375153 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.281059 | + | 0.486809i | −0.0138468 | + | 0.0239833i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.45811 | + | 5.98962i | 0.169752 | + | 0.294019i | ||||
\(416\) | −3.03343 | − | 5.25406i | −0.148726 | − | 0.257601i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.688663 | + | 1.19280i | −0.0336836 | + | 0.0583417i | ||||
\(419\) | 0.739885 | + | 1.28152i | 0.0361458 | + | 0.0626063i | 0.883532 | − | 0.468370i | \(-0.155159\pi\) |
−0.847387 | + | 0.530976i | \(0.821825\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.55350 | + | 11.3510i | −0.319398 | + | 0.553214i | −0.980363 | − | 0.197203i | \(-0.936814\pi\) |
0.660965 | + | 0.750417i | \(0.270147\pi\) | |||||||
\(422\) | −3.67365 | − | 6.36295i | −0.178830 | − | 0.309743i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.05509 | + | 1.82747i | −0.0512398 | + | 0.0887500i | ||||
\(425\) | 5.47565 | 0.265608 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0.602196 | + | 1.04303i | 0.0291083 | + | 0.0504170i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.09240 | + | 3.62414i | 0.100904 | + | 0.174771i | ||||
\(431\) | 8.86349 | − | 15.3520i | 0.426939 | − | 0.739481i | −0.569660 | − | 0.821881i | \(-0.692925\pi\) |
0.996599 | + | 0.0823997i | \(0.0262584\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.83843 | 0.280577 | 0.140289 | − | 0.990111i | \(-0.455197\pi\) | ||||
0.140289 | + | 0.990111i | \(0.455197\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.982926 | − | 1.70248i | 0.0470736 | − | 0.0815339i | ||||
\(437\) | 0.231734 | 0.0110853 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −29.8553 | −1.42492 | −0.712459 | − | 0.701714i | \(-0.752418\pi\) | ||||
−0.712459 | + | 0.701714i | \(0.752418\pi\) | |||||||
\(440\) | −3.48751 | −0.166261 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 30.4347 | 1.44763 | ||||||||
\(443\) | −10.6655 | −0.506733 | −0.253367 | − | 0.967370i | \(-0.581538\pi\) | ||||
−0.253367 | + | 0.967370i | \(0.581538\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.5449 | −0.973921 | ||||||||
\(446\) | −9.56077 | + | 16.5597i | −0.452716 | + | 0.784127i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.55438 | −0.167741 | −0.0838707 | − | 0.996477i | \(-0.526728\pi\) | ||||
−0.0838707 | + | 0.996477i | \(0.526728\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.520945 | + | 0.902302i | −0.0245303 | + | 0.0424878i | ||||
\(452\) | −0.478340 | − | 0.828510i | −0.0224992 | − | 0.0389698i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.94949 | − | 3.37662i | −0.0914942 | − | 0.158473i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.02322 | 0.234976 | 0.117488 | − | 0.993074i | \(-0.462516\pi\) | ||||
0.117488 | + | 0.993074i | \(0.462516\pi\) | |||||||
\(458\) | −6.17571 | + | 10.6966i | −0.288572 | + | 0.499821i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.0248149 | + | 0.0429807i | 0.00115700 | + | 0.00200399i | ||||
\(461\) | −9.23055 | + | 15.9878i | −0.429910 | + | 0.744625i | −0.996865 | − | 0.0791233i | \(-0.974788\pi\) |
0.566955 | + | 0.823749i | \(0.308121\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.11721 | + | 12.3274i | 0.330765 | + | 0.572902i | 0.982662 | − | 0.185406i | \(-0.0593600\pi\) |
−0.651897 | + | 0.758307i | \(0.726027\pi\) | |||||||
\(464\) | −15.7895 | + | 27.3482i | −0.733010 | + | 1.26961i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.94016 | − | 15.4848i | −0.414145 | − | 0.717320i | ||||
\(467\) | 1.68433 | + | 2.91734i | 0.0779413 | + | 0.134998i | 0.902362 | − | 0.430980i | \(-0.141832\pi\) |
−0.824420 | + | 0.565978i | \(0.808499\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −9.09627 | + | 15.7552i | −0.419579 | + | 0.726733i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.16788 | 0.0997848 | ||||||||
\(473\) | −0.573978 | −0.0263915 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.54189 | + | 2.67063i | −0.0707467 | + | 0.122537i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.42468 | − | 11.1279i | −0.293858 | − | 0.508977i | ||||
\(479\) | 18.3833 | + | 31.8407i | 0.839952 | + | 1.45484i | 0.889934 | + | 0.456090i | \(0.150751\pi\) |
−0.0499812 | + | 0.998750i | \(0.515916\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.3603 | + | 38.7291i | −1.01954 | + | 1.76589i | ||||
\(482\) | 6.03462 | + | 10.4523i | 0.274869 | + | 0.476087i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.996130 | + | 1.72535i | −0.0452786 | + | 0.0784249i | ||||
\(485\) | −17.2233 | − | 29.8316i | −0.782069 | − | 1.35458i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.7087 | − | 32.4045i | 0.847773 | − | 1.46839i | −0.0354172 | − | 0.999373i | \(-0.511276\pi\) |
0.883191 | − | 0.469014i | \(-0.155391\pi\) | |||||||
\(488\) | −2.82026 | −0.127667 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.3353 | − | 23.0974i | −0.601813 | − | 1.04237i | −0.992547 | − | 0.121866i | \(-0.961112\pi\) |
0.390734 | − | 0.920504i | \(-0.372221\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.0326 | + | 29.5013i | 0.767108 | + | 1.32867i | ||||
\(494\) | −8.57011 | + | 14.8439i | −0.385587 | + | 0.667857i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −27.6195 | −1.24015 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.8726 | + | 29.2242i | −0.755320 | + | 1.30825i | 0.189895 | + | 0.981804i | \(0.439185\pi\) |
−0.945215 | + | 0.326449i | \(0.894148\pi\) | |||||||
\(500\) | 1.67911 | 0.0750921 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 33.6800 | 1.50321 | ||||||||
\(503\) | −32.0401 | −1.42860 | −0.714299 | − | 0.699840i | \(-0.753255\pi\) | ||||
−0.714299 | + | 0.699840i | \(0.753255\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.2422 | −1.07876 | ||||||||
\(506\) | 0.0668661 | 0.00297256 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.64134 | 0.0728227 | ||||||||
\(509\) | 3.96926 | − | 6.87495i | 0.175934 | − | 0.304727i | −0.764550 | − | 0.644564i | \(-0.777039\pi\) |
0.940484 | + | 0.339838i | \(0.110372\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.9186 | 1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.31046 | − | 12.6621i | 0.322451 | − | 0.558501i | ||||
\(515\) | 3.85117 | + | 6.67042i | 0.169703 | + | 0.293934i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.24763 | − | 2.16095i | −0.0548705 | − | 0.0950386i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −43.4005 | −1.90324 | ||||||||
\(521\) | 7.33750 | − | 12.7089i | 0.321462 | − | 0.556788i | −0.659328 | − | 0.751855i | \(-0.729159\pi\) |
0.980790 | + | 0.195067i | \(0.0624926\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.1716 | + | 24.5459i | 0.619680 | + | 1.07332i | 0.989544 | + | 0.144232i | \(0.0460711\pi\) |
−0.369864 | + | 0.929086i | \(0.620596\pi\) | |||||||
\(524\) | 1.04988 | − | 1.81844i | 0.0458641 | − | 0.0794390i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.5737 | − | 30.4386i | −0.766251 | − | 1.32719i | ||||
\(527\) | −14.8969 | + | 25.8022i | −0.648920 | + | 1.12396i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4944 | + | 19.9088i | 0.499755 | + | 0.865602i | ||||
\(530\) | 1.22281 | + | 2.11797i | 0.0531155 | + | 0.0919988i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.48293 | + | 11.2288i | −0.280807 | + | 0.486371i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.5030 | 0.713487 | ||||||||
\(536\) | −28.3705 | −1.22542 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.14203 | + | 8.90625i | −0.221688 | + | 0.383976i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.64290 | − | 9.77380i | −0.242607 | − | 0.420208i | 0.718849 | − | 0.695166i | \(-0.244669\pi\) |
−0.961456 | + | 0.274958i | \(0.911336\pi\) | |||||||
\(542\) | −2.29292 | − | 3.97145i | −0.0984893 | − | 0.170588i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.02094 | − | 3.50038i | 0.0866473 | − | 0.150077i | ||||
\(545\) | −13.4684 | − | 23.3279i | −0.576922 | − | 0.999258i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.6202 | − | 25.3229i | 0.625115 | − | 1.08273i | −0.363404 | − | 0.931632i | \(-0.618385\pi\) |
0.988519 | − | 0.151099i | \(-0.0482812\pi\) | |||||||
\(548\) | 0.528934 | + | 0.916140i | 0.0225949 | + | 0.0391356i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.444907 | + | 0.770602i | −0.0189709 | + | 0.0328586i | ||||
\(551\) | −19.1848 | −0.817300 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −3.85457 | − | 6.67631i | −0.163765 | − | 0.283649i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.0853707 | + | 0.147866i | 0.00362052 | + | 0.00627093i | ||||
\(557\) | −0.387841 | + | 0.671761i | −0.0164334 | + | 0.0284634i | −0.874125 | − | 0.485701i | \(-0.838564\pi\) |
0.857692 | + | 0.514164i | \(0.171898\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.14290 | −0.302113 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.1163 | + | 33.1105i | −0.806374 | + | 1.39668i | ||||
\(563\) | 24.9522 | 1.05161 | 0.525806 | − | 0.850605i | \(-0.323764\pi\) | ||||
0.525806 | + | 0.850605i | \(0.323764\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −13.1088 | −0.551489 | ||||||||
\(566\) | 6.15888 | 0.258877 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −38.9564 | −1.63457 | ||||||||
\(569\) | 24.8033 | 1.03981 | 0.519905 | − | 0.854224i | \(-0.325967\pi\) | ||||
0.519905 | + | 0.854224i | \(0.325967\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.79654 | 0.368124 | 0.184062 | − | 0.982915i | \(-0.441075\pi\) | ||||
0.184062 | + | 0.982915i | \(0.441075\pi\) | |||||||
\(572\) | 0.251745 | − | 0.436035i | 0.0105260 | − | 0.0182315i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.149711 | 0.00624336 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.43717 | + | 11.1495i | −0.267983 | + | 0.464160i | −0.968341 | − | 0.249632i | \(-0.919690\pi\) |
0.700358 | + | 0.713792i | \(0.253024\pi\) | |||||||
\(578\) | −1.31386 | − | 2.27568i | −0.0546495 | − | 0.0946557i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.05438 | − | 3.55829i | −0.0853034 | − | 0.147750i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.335437 | −0.0138924 | ||||||||
\(584\) | −15.1131 | + | 26.1766i | −0.625384 | + | 1.08320i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.91534 | + | 5.04952i | 0.120432 | + | 0.208594i | ||||
\(587\) | −22.4315 | + | 38.8526i | −0.925849 | + | 1.60362i | −0.135658 | + | 0.990756i | \(0.543315\pi\) |
−0.790190 | + | 0.612861i | \(0.790018\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.38965 | − | 14.5313i | −0.345690 | − | 0.598752i | ||||
\(590\) | 1.25624 | − | 2.17588i | 0.0517188 | − | 0.0895795i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −13.8097 | − | 23.9192i | −0.567577 | − | 0.983072i | ||||
\(593\) | −1.88026 | − | 3.25671i | −0.0772131 | − | 0.133737i | 0.824833 | − | 0.565376i | \(-0.191269\pi\) |
−0.902047 | + | 0.431639i | \(0.857936\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.806123 | + | 1.39625i | −0.0330201 | + | 0.0571924i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.832119 | 0.0340279 | ||||||||
\(599\) | 3.69047 | 0.150789 | 0.0753943 | − | 0.997154i | \(-0.475978\pi\) | ||||
0.0753943 | + | 0.997154i | \(0.475978\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.9285 | + | 18.9288i | −0.445785 | + | 0.772122i | −0.998107 | − | 0.0615091i | \(-0.980409\pi\) |
0.552322 | + | 0.833631i | \(0.313742\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.70258 | + | 2.94896i | 0.0692771 | + | 0.119991i | ||||
\(605\) | 13.6493 | + | 23.6413i | 0.554923 | + | 0.961155i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.1973 | − | 21.1263i | 0.495072 | − | 0.857490i | −0.504911 | − | 0.863171i | \(-0.668475\pi\) |
0.999984 | + | 0.00568063i | \(0.00180821\pi\) | |||||||
\(608\) | 1.13816 | + | 1.97134i | 0.0461583 | + | 0.0799485i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.63429 | + | 2.83067i | −0.0661703 | + | 0.114610i | ||||
\(611\) | −15.5262 | − | 26.8921i | −0.628121 | − | 1.08794i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.0107 | + | 36.3917i | −0.848616 | + | 1.46985i | 0.0338284 | + | 0.999428i | \(0.489230\pi\) |
−0.882444 | + | 0.470418i | \(0.844103\pi\) | |||||||
\(614\) | 16.6759 | 0.672986 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 23.2049 | + | 40.1920i | 0.934192 | + | 1.61807i | 0.776068 | + | 0.630650i | \(0.217212\pi\) |
0.158125 | + | 0.987419i | \(0.449455\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.6047 | − | 23.5641i | −0.546820 | − | 0.947120i | −0.998490 | − | 0.0549349i | \(-0.982505\pi\) |
0.451670 | − | 0.892185i | \(-0.350828\pi\) | |||||||
\(620\) | 1.79679 | − | 3.11213i | 0.0721608 | − | 0.124986i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 29.6209 | 1.18769 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.0326 | − | 26.0372i | 0.601302 | − | 1.04149i | ||||
\(626\) | −18.7137 | −0.747950 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.909912 | 0.0363094 | ||||||||
\(629\) | −29.7939 | −1.18796 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.6023 | −1.17845 | −0.589224 | − | 0.807970i | \(-0.700566\pi\) | ||||
−0.589224 | + | 0.807970i | \(0.700566\pi\) | |||||||
\(632\) | −37.2012 | −1.47978 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.32913 | −0.330792 | ||||||||
\(635\) | 11.2451 | − | 19.4771i | 0.446248 | − | 0.772925i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.53571 | −0.219161 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 12.0248 | − | 20.8276i | 0.475323 | − | 0.823283i | ||||
\(641\) | −0.139500 | − | 0.241621i | −0.00550991 | − | 0.00954345i | 0.863257 | − | 0.504764i | \(-0.168421\pi\) |
−0.868767 | + | 0.495221i | \(0.835087\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.12196 | − | 15.7997i | −0.359735 | − | 0.623079i | 0.628181 | − | 0.778067i | \(-0.283800\pi\) |
−0.987916 | + | 0.154988i | \(0.950466\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.4192 | −0.449283 | ||||||||
\(647\) | −11.2285 | + | 19.4483i | −0.441438 | + | 0.764592i | −0.997796 | − | 0.0663498i | \(-0.978865\pi\) |
0.556359 | + | 0.830942i | \(0.312198\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.172304 | + | 0.298439i | 0.00676352 | + | 0.0117148i | ||||
\(650\) | −5.53667 | + | 9.58980i | −0.217166 | + | 0.376143i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.705737 | + | 1.22237i | 0.0276388 | + | 0.0478718i | ||||
\(653\) | −25.2656 | + | 43.7614i | −0.988721 | + | 1.71251i | −0.364655 | + | 0.931143i | \(0.618813\pi\) |
−0.624066 | + | 0.781372i | \(0.714520\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.3858 | − | 24.9169i | −0.562099 | − | 0.973584i | ||||
\(656\) | −4.00387 | − | 6.93491i | −0.156325 | − | 0.270763i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.33631 | + | 2.31456i | −0.0520554 | + | 0.0901626i | −0.890879 | − | 0.454241i | \(-0.849911\pi\) |
0.838824 | + | 0.544403i | \(0.183244\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 34.6100 | 1.34617 | 0.673086 | − | 0.739564i | \(-0.264968\pi\) | ||||
0.673086 | + | 0.739564i | \(0.264968\pi\) | |||||||
\(662\) | −14.4584 | −0.561942 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.02007 | − | 6.96296i | 0.156009 | − | 0.270215i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.465690 | + | 0.806598i | 0.0180316 | + | 0.0312316i | ||||
\(668\) | −0.522537 | − | 0.905061i | −0.0202176 | − | 0.0350179i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16.4402 | + | 28.4752i | −0.635139 | + | 1.10009i | ||||
\(671\) | −0.224155 | − | 0.388249i | −0.00865342 | − | 0.0149882i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.25624 | + | 14.3002i | −0.318255 | + | 0.551234i | −0.980124 | − | 0.198386i | \(-0.936430\pi\) |
0.661869 | + | 0.749619i | \(0.269763\pi\) | |||||||
\(674\) | −12.5262 | − | 21.6959i | −0.482490 | − | 0.835697i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.93170 | − | 3.34581i | 0.0742963 | − | 0.128685i | ||||
\(677\) | −43.7579 | −1.68175 | −0.840877 | − | 0.541226i | \(-0.817960\pi\) | ||||
−0.840877 | + | 0.541226i | \(0.817960\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −14.4572 | − | 25.0407i | −0.554410 | − | 0.960266i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.42081 | − | 4.19296i | −0.0926975 | − | 0.160557i | ||||
\(683\) | 14.1206 | − | 24.4576i | 0.540310 | − | 0.935845i | −0.458576 | − | 0.888655i | \(-0.651640\pi\) |
0.998886 | − | 0.0471895i | \(-0.0150265\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.4953 | 0.553835 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.20574 | − | 3.82045i | 0.0840929 | − | 0.145653i | ||||
\(689\) | −4.17436 | −0.159031 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.0651 | 1.10569 | 0.552844 | − | 0.833284i | \(-0.313542\pi\) | ||||
0.552844 | + | 0.833284i | \(0.313542\pi\) | |||||||
\(692\) | −3.89344 | −0.148006 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.5016 | −1.04395 | ||||||||
\(695\) | 2.33956 | 0.0887444 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.63816 | −0.327193 | ||||||||
\(698\) | 2.39961 | − | 4.15625i | 0.0908268 | − | 0.157317i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.10876 | 0.0418771 | 0.0209386 | − | 0.999781i | \(-0.493335\pi\) | ||||
0.0209386 | + | 0.999781i | \(0.493335\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.38965 | − | 14.5313i | 0.316422 | − | 0.548059i | ||||
\(704\) | 2.01114 | + | 3.48340i | 0.0757979 | + | 0.131286i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.75150 | + | 11.6939i | 0.254096 | + | 0.440107i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.4688 | −0.693612 | −0.346806 | − | 0.937937i | \(-0.612734\pi\) | ||||
−0.346806 | + | 0.937937i | \(0.612734\pi\) | |||||||
\(710\) | −22.5744 | + | 39.1001i | −0.847204 | + | 1.46740i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.9418 | + | 20.6837i | 0.447536 | + | 0.775155i | ||||
\(713\) | −0.407299 | + | 0.705463i | −0.0152535 | + | 0.0264198i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.44949 | − | 5.97470i | −0.129004 | − | 0.223441i | ||||
\(716\) | 0.473126 | − | 0.819478i | 0.0176815 | − | 0.0306253i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.38666 | − | 11.0620i | −0.238348 | − | 0.412831i | ||||
\(719\) | 16.8885 | + | 29.2517i | 0.629834 | + | 1.09090i | 0.987585 | + | 0.157087i | \(0.0502103\pi\) |
−0.357751 | + | 0.933817i | \(0.616456\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −9.58378 | + | 16.5996i | −0.356671 | + | 0.617773i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0591253 | −0.00219738 | ||||||||
\(725\) | −12.3942 | −0.460310 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.40214 | − | 14.5529i | 0.311618 | − | 0.539738i | −0.667095 | − | 0.744973i | \(-0.732462\pi\) |
0.978713 | + | 0.205234i | \(0.0657957\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 17.5155 | + | 30.3377i | 0.648277 | + | 1.12285i | ||||
\(731\) | −2.37939 | − | 4.12122i | −0.0880047 | − | 0.152429i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.81820 | + | 11.8095i | −0.251836 | + | 0.436193i | −0.964031 | − | 0.265789i | \(-0.914368\pi\) |
0.712195 | + | 0.701981i | \(0.247701\pi\) | |||||||
\(734\) | −10.8682 | − | 18.8243i | −0.401154 | − | 0.694819i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.0552549 | − | 0.0957044i | 0.00203672 | − | 0.00352771i | ||||
\(737\) | −2.25490 | − | 3.90560i | −0.0830603 | − | 0.143865i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.0209 | − | 27.7491i | 0.589340 | − | 1.02077i | −0.404979 | − | 0.914326i | \(-0.632721\pi\) |
0.994319 | − | 0.106441i | \(-0.0339455\pi\) | |||||||
\(740\) | 3.59358 | 0.132103 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 16.8764 | + | 29.2309i | 0.619137 | + | 1.07238i | 0.989644 | + | 0.143547i | \(0.0458507\pi\) |
−0.370507 | + | 0.928830i | \(0.620816\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.0458 | + | 19.1318i | 0.404685 | + | 0.700936i | ||||
\(746\) | 9.46451 | − | 16.3930i | 0.346520 | − | 0.600191i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.335437 | 0.0122648 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.0582 | + | 22.6175i | −0.476502 | + | 0.825326i | −0.999637 | − | 0.0269236i | \(-0.991429\pi\) |
0.523135 | + | 0.852250i | \(0.324762\pi\) | |||||||
\(752\) | 19.1780 | 0.699349 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −68.8895 | −2.50881 | ||||||||
\(755\) | 46.6587 | 1.69808 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.6536 | 1.29585 | 0.647927 | − | 0.761703i | \(-0.275636\pi\) | ||||
0.647927 | + | 0.761703i | \(0.275636\pi\) | |||||||
\(758\) | −21.6340 | −0.785784 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.2841 | 0.590685 | ||||||||
\(761\) | −20.3824 | + | 35.3033i | −0.738861 | + | 1.27974i | 0.214148 | + | 0.976801i | \(0.431302\pi\) |
−0.953009 | + | 0.302943i | \(0.902031\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.87670 | −0.104075 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −21.5706 | + | 37.3613i | −0.779377 | + | 1.34992i | ||||
\(767\) | 2.14425 | + | 3.71395i | 0.0774243 | + | 0.134103i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.7135 | + | 34.1447i | 0.710886 | + | 1.23129i | 0.964525 | + | 0.263992i | \(0.0850392\pi\) |
−0.253639 | + | 0.967299i | \(0.581627\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.11650 | −0.0401836 | ||||||||
\(773\) | −12.4513 | + | 21.5663i | −0.447842 | + | 0.775686i | −0.998245 | − | 0.0592135i | \(-0.981141\pi\) |
0.550403 | + | 0.834899i | \(0.314474\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.42009 | − | 9.38788i | −0.194695 | − | 0.337222i | ||||
\(776\) | −20.0221 | + | 34.6793i | −0.718752 | + | 1.24492i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.2383 | + | 35.0538i | 0.725578 | + | 1.25674i | ||||
\(779\) | 2.43242 | − | 4.21307i | 0.0871504 | − | 0.150949i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.09627 | − | 5.36289i | −0.110793 | − | 0.191899i | ||||
\(782\) | 0.277189 | + | 0.480105i | 0.00991225 | + | 0.0171685i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.23396 | − | 10.7975i | 0.222499 | − | 0.385380i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 30.7050 | 1.09452 | 0.547258 | − | 0.836964i | \(-0.315672\pi\) | ||||
0.547258 | + | 0.836964i | \(0.315672\pi\) | |||||||
\(788\) | 4.66313 | 0.166117 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −21.5574 | + | 37.3385i | −0.766977 | + | 1.32844i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.78952 | − | 4.83158i | −0.0990586 | − | 0.171575i | ||||
\(794\) | 8.29932 | + | 14.3748i | 0.294532 | + | 0.510144i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.281059 | + | 0.486809i | −0.00996188 | + | 0.0172545i | ||||
\(797\) | 5.50686 | + | 9.53817i | 0.195063 | + | 0.337859i | 0.946921 | − | 0.321466i | \(-0.104175\pi\) |
−0.751858 | + | 0.659325i | \(0.770842\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.3439 | − | 17.9161i | 0.365941 | − | 0.633828i | ||||
\(800\) | 0.735300 | + | 1.27358i | 0.0259968 | + | 0.0450277i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −14.1304 | + | 24.4746i | −0.498962 | + | 0.864228i | ||||
\(803\) | −4.80478 | −0.169557 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −30.1259 | − | 52.1796i | −1.06114 | − | 1.83795i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.0908 | + | 24.4060i | 0.495713 | + | 0.858600i | ||||
\(809\) | 8.49407 | − | 14.7122i | 0.298636 | − | 0.517252i | −0.677188 | − | 0.735810i | \(-0.736802\pi\) |
0.975824 | + | 0.218558i | \(0.0701352\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −37.9796 | −1.33364 | −0.666822 | − | 0.745217i | \(-0.732346\pi\) | ||||
−0.666822 | + | 0.745217i | \(0.732346\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.42081 | − | 4.19296i | 0.0848493 | − | 0.146963i | ||||
\(815\) | 19.3405 | 0.677468 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.68004 | 0.0937629 | ||||||||
\(818\) | 34.5735 | 1.20883 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.04189 | 0.0363843 | ||||||||
\(821\) | −8.27868 | −0.288928 | −0.144464 | − | 0.989510i | \(-0.546146\pi\) | ||||
−0.144464 | + | 0.989510i | \(0.546146\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 54.5526 | 1.90158 | 0.950792 | − | 0.309829i | \(-0.100272\pi\) | ||||
0.950792 | + | 0.309829i | \(0.100272\pi\) | |||||||
\(824\) | 4.47700 | − | 7.75438i | 0.155964 | − | 0.270137i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 31.8708 | 1.10826 | 0.554129 | − | 0.832431i | \(-0.313052\pi\) | ||||
0.554129 | + | 0.832431i | \(0.313052\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.176174 | + | 0.305143i | −0.00611879 | + | 0.0105981i | −0.869069 | − | 0.494692i | \(-0.835281\pi\) |
0.862950 | + | 0.505290i | \(0.168614\pi\) | |||||||
\(830\) | −4.65910 | − | 8.06980i | −0.161720 | − | 0.280107i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 25.0278 | + | 43.3494i | 0.867683 | + | 1.50287i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.3200 | −0.495562 | ||||||||
\(836\) | −0.0944557 | + | 0.163602i | −0.00326682 | + | 0.00565829i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.996845 | − | 1.72659i | −0.0344354 | − | 0.0596439i | ||||
\(839\) | −12.5077 | + | 21.6640i | −0.431815 | + | 0.747926i | −0.997030 | − | 0.0770182i | \(-0.975460\pi\) |
0.565215 | + | 0.824944i | \(0.308793\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.0535 | − | 41.6619i | −0.829431 | − | 1.43662i | ||||
\(842\) | 8.82951 | − | 15.2932i | 0.304285 | − | 0.527037i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.503870 | − | 0.872729i | −0.0173439 | − | 0.0300406i | ||||
\(845\) | −26.4688 | − | 45.8454i | −0.910556 | − | 1.57713i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.28905 | − | 2.23270i | 0.0442661 | − | 0.0766711i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.37733 | −0.253040 | ||||||||
\(851\) | −0.814598 | −0.0279241 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.5954 | − | 33.9402i | 0.670933 | − | 1.16209i | −0.306706 | − | 0.951804i | \(-0.599227\pi\) |
0.977640 | − | 0.210286i | \(-0.0674397\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.59240 | − | 16.6145i | −0.327861 | − | 0.567873i | ||||
\(857\) | −8.20368 | − | 14.2092i | −0.280232 | − | 0.485377i | 0.691210 | − | 0.722654i | \(-0.257078\pi\) |
−0.971442 | + | 0.237278i | \(0.923745\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.4162 | + | 23.2376i | −0.457756 | + | 0.792856i | −0.998842 | − | 0.0481111i | \(-0.984680\pi\) |
0.541086 | + | 0.840967i | \(0.318013\pi\) | |||||||
\(860\) | 0.286989 | + | 0.497079i | 0.00978624 | + | 0.0169503i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.9418 | + | 20.6837i | −0.406738 | + | 0.704490i | ||||
\(863\) | 7.25284 | + | 12.5623i | 0.246890 | + | 0.427625i | 0.962661 | − | 0.270709i | \(-0.0872582\pi\) |
−0.715772 | + | 0.698334i | \(0.753925\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −26.6746 | + | 46.2017i | −0.906963 | + | 1.57091i | ||||
\(866\) | −7.86610 | −0.267301 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.95677 | − | 5.12127i | −0.100301 | − | 0.173727i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −28.0612 | − | 48.6035i | −0.950819 | − | 1.64687i | ||||
\(872\) | −15.6570 | + | 27.1188i | −0.530214 | + | 0.918358i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.312214 | −0.0105608 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.45723 | + | 16.3804i | −0.319348 | + | 0.553127i | −0.980352 | − | 0.197255i | \(-0.936797\pi\) |
0.661004 | + | 0.750382i | \(0.270131\pi\) | |||||||
\(878\) | 40.2240 | 1.35749 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.26083 | 0.143633 | ||||||||
\(881\) | 53.8976 | 1.81585 | 0.907927 | − | 0.419128i | \(-0.137664\pi\) | ||||
0.907927 | + | 0.419128i | \(0.137664\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.4252 | 1.46137 | 0.730687 | − | 0.682712i | \(-0.239200\pi\) | ||||
0.730687 | + | 0.682712i | \(0.239200\pi\) | |||||||
\(884\) | 4.17436 | 0.140399 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 14.3696 | 0.482756 | ||||||||
\(887\) | 19.4800 | − | 33.7403i | 0.654074 | − | 1.13289i | −0.328051 | − | 0.944660i | \(-0.606392\pi\) |
0.982125 | − | 0.188229i | \(-0.0602749\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 27.6800 | 0.927837 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.31134 | + | 2.27130i | −0.0439068 | + | 0.0760488i | ||||
\(893\) | 5.82547 | + | 10.0900i | 0.194942 | + | 0.337650i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.48293 | − | 11.2288i | −0.216700 | − | 0.375336i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.78880 | 0.159804 | ||||||||
\(899\) | 33.7195 | − | 58.4038i | 1.12461 | − | 1.94788i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.39053 | − | 2.40847i | −0.0463253 | − | 0.0802377i | ||||
\(902\) | 0.701867 | − | 1.21567i | 0.0233696 | − | 0.0404773i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.61949 | + | 13.1973i | 0.253420 | + | 0.438937i | ||||
\(905\) | −0.405078 | + | 0.701615i | −0.0134652 | + | 0.0233225i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.2638 | − | 29.9018i | −0.573236 | − | 0.992874i | −0.996231 | − | 0.0867416i | \(-0.972355\pi\) |
0.422995 | − | 0.906132i | \(-0.360979\pi\) | |||||||
\(908\) | −0.267389 | − | 0.463131i | −0.00887360 | − | 0.0153695i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.2631 | − | 40.2929i | 0.770741 | − | 1.33496i | −0.166416 | − | 0.986056i | \(-0.553220\pi\) |
0.937157 | − | 0.348907i | \(-0.113447\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.27807 | 0.0422978 | ||||||||
\(914\) | −6.76777 | −0.223858 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.847048 | + | 1.46713i | −0.0279873 | + | 0.0484753i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.97818 | + | 8.62246i | 0.164215 | + | 0.284429i | 0.936376 | − | 0.350998i | \(-0.114158\pi\) |
−0.772161 | + | 0.635427i | \(0.780824\pi\) | |||||||
\(920\) | −0.395277 | − | 0.684640i | −0.0130319 | − | 0.0225719i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.4363 | − | 21.5403i | 0.409567 | − | 0.709391i | ||||
\(923\) | −38.5317 | − | 66.7388i | −1.26829 | − | 2.19674i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.42009 | − | 9.38788i | 0.178212 | − | 0.308671i | ||||
\(926\) | −9.58899 | − | 16.6086i | −0.315114 | − | 0.545793i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.57444 | + | 7.92317i | −0.150164 | + | 0.260091i | ||||
\(929\) | 9.04601 | 0.296790 | 0.148395 | − | 0.988928i | \(-0.452589\pi\) | ||||
0.148395 | + | 0.988928i | \(0.452589\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1.22621 | − | 2.12387i | −0.0401660 | − | 0.0695696i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.26929 | − | 3.93052i | −0.0742533 | − | 0.128610i | ||||
\(935\) | 2.29813 | − | 3.98048i | 0.0751570 | − | 0.130176i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.3928 | 0.796878 | 0.398439 | − | 0.917195i | \(-0.369552\pi\) | ||||
0.398439 | + | 0.917195i | \(0.369552\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.24763 | + | 2.16095i | −0.0406931 | + | 0.0704825i | ||||
\(941\) | −59.5381 | −1.94089 | −0.970443 | − | 0.241331i | \(-0.922416\pi\) | ||||
−0.970443 | + | 0.241331i | \(0.922416\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.236177 | −0.00769098 | ||||||||
\(944\) | −2.64858 | −0.0862041 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.773318 | 0.0251428 | ||||||||
\(947\) | −8.64858 | −0.281041 | −0.140521 | − | 0.990078i | \(-0.544878\pi\) | ||||
−0.140521 | + | 0.990078i | \(0.544878\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −59.7934 | −1.94097 | ||||||||
\(950\) | 2.07738 | − | 3.59813i | 0.0673992 | − | 0.116739i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −3.78249 | −0.122527 | −0.0612634 | − | 0.998122i | \(-0.519513\pi\) | ||||
−0.0612634 | + | 0.998122i | \(0.519513\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.7087 | + | 34.1365i | −0.637760 | + | 1.10463i | ||||
\(956\) | −0.881196 | − | 1.52628i | −0.0284999 | − | 0.0493633i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −24.7677 | − | 42.8989i | −0.800208 | − | 1.38600i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.9831 | 0.902680 | ||||||||
\(962\) | 30.1259 | − | 52.1796i | 0.971298 | − | 1.68234i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.827696 | + | 1.43361i | 0.0266583 | + | 0.0461735i | ||||
\(965\) | −7.64930 | + | 13.2490i | −0.246240 | + | 0.426500i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.4745 | + | 28.5346i | 0.529783 | + | 0.917611i | 0.999396 | + | 0.0347392i | \(0.0110601\pi\) |
−0.469613 | + | 0.882872i | \(0.655607\pi\) | |||||||
\(968\) | 15.8674 | − | 27.4831i | 0.509996 | − | 0.883340i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 23.2049 | + | 40.1920i | 0.745063 | + | 1.29049i | ||||
\(971\) | 27.7285 | + | 48.0272i | 0.889850 | + | 1.54126i | 0.840052 | + | 0.542506i | \(0.182524\pi\) |
0.0497974 | + | 0.998759i | \(0.484142\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −25.2062 | + | 43.6584i | −0.807659 | + | 1.39891i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.44562 | 0.110292 | ||||||||
\(977\) | −56.5485 | −1.80915 | −0.904573 | − | 0.426318i | \(-0.859811\pi\) | ||||
−0.904573 | + | 0.426318i | \(0.859811\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.89827 | + | 3.28790i | −0.0606690 | + | 0.105082i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.9666 | + | 31.1190i | 0.573336 | + | 0.993047i | ||||
\(983\) | −14.4987 | − | 25.1124i | −0.462435 | − | 0.800961i | 0.536646 | − | 0.843807i | \(-0.319691\pi\) |
−0.999082 | + | 0.0428458i | \(0.986358\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.9479 | − | 55.3354i | 1.01794 | − | 1.76313i | ||||
\(986\) | −22.9479 | − | 39.7469i | −0.730810 | − | 1.26580i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.17546 | + | 2.03596i | −0.0373963 | + | 0.0647724i | ||||
\(989\) | −0.0650551 | − | 0.112679i | −0.00206863 | − | 0.00358298i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.40461 | + | 5.89696i | −0.108151 | + | 0.187323i | −0.915021 | − | 0.403406i | \(-0.867826\pi\) |
0.806870 | + | 0.590729i | \(0.201160\pi\) | |||||||
\(992\) | −8.00175 | −0.254056 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.85117 | + | 6.67042i | 0.122090 | + | 0.211466i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.4688 | − | 33.7210i | −0.616585 | − | 1.06796i | −0.990104 | − | 0.140333i | \(-0.955183\pi\) |
0.373520 | − | 0.927622i | \(-0.378151\pi\) | |||||||
\(998\) | 22.7324 | − | 39.3736i | 0.719580 | − | 1.24635i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))