Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1323,2,Mod(521,1323)]
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([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1323.521");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.i (of order \(6\), 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: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 521.1 | ||
Root | \(0.827154 - 1.43267i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.521 |
Dual form | 1323.2.i.b.1097.5 |
$q$-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 \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.09548i | − | 1.48173i | −0.671655 | − | 0.740865i | \(-0.734416\pi\) | ||
0.671655 | − | 0.740865i | \(-0.265584\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.39104 | −1.19552 | ||||||||
\(5\) | −1.04492 | + | 1.80985i | −0.467300 | + | 0.809388i | −0.999302 | − | 0.0373553i | \(-0.988107\pi\) |
0.532002 | + | 0.846743i | \(0.321440\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0.819421i | 0.289709i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.79250 | + | 2.18960i | 1.19929 | + | 0.692412i | ||||
\(11\) | −2.79620 | + | 1.61439i | −0.843086 | + | 0.486756i | −0.858312 | − | 0.513128i | \(-0.828487\pi\) |
0.0152257 | + | 0.999884i | \(0.495153\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.68740 | − | 1.55157i | 0.745350 | − | 0.430328i | −0.0786612 | − | 0.996901i | \(-0.525065\pi\) |
0.824011 | + | 0.566573i | \(0.191731\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.06500 | −0.766251 | ||||||||
\(17\) | 0.816304 | − | 1.41388i | 0.197983 | − | 0.342916i | −0.749891 | − | 0.661561i | \(-0.769894\pi\) |
0.947874 | + | 0.318645i | \(0.103228\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.79094 | + | 2.76605i | −1.09912 | + | 0.634575i | −0.935989 | − | 0.352030i | \(-0.885491\pi\) |
−0.163127 | + | 0.986605i | \(0.552158\pi\) | |||||||
\(20\) | 2.49844 | − | 4.32742i | 0.558667 | − | 0.967640i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.38292 | + | 5.85939i | 0.721241 | + | 1.24923i | ||||
\(23\) | 1.00527 | + | 0.580391i | 0.209612 | + | 0.121020i | 0.601131 | − | 0.799150i | \(-0.294717\pi\) |
−0.391519 | + | 0.920170i | \(0.628050\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.316304 | + | 0.547854i | 0.0632608 | + | 0.109571i | ||||
\(26\) | −3.25129 | − | 5.63139i | −0.637630 | − | 1.10441i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.05749 | + | 4.07464i | 1.31054 | + | 0.756643i | 0.982186 | − | 0.187911i | \(-0.0601717\pi\) |
0.328357 | + | 0.944554i | \(0.393505\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.96849i | 1.07197i | 0.844227 | + | 0.535986i | \(0.180060\pi\) | ||||
−0.844227 | + | 0.535986i | \(0.819940\pi\) | |||||||
\(32\) | 8.06150i | 1.42508i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.96276 | − | 1.71055i | −0.508109 | − | 0.293357i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.82656 | + | 4.89575i | 0.464684 | + | 0.804857i | 0.999187 | − | 0.0403097i | \(-0.0128345\pi\) |
−0.534503 | + | 0.845167i | \(0.679501\pi\) | |||||||
\(38\) | 5.79620 | + | 10.0393i | 0.940268 | + | 1.62859i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.48303 | − | 0.856225i | −0.234487 | − | 0.135381i | ||||
\(41\) | 1.35369 | + | 2.34465i | 0.211410 | + | 0.366173i | 0.952156 | − | 0.305612i | \(-0.0988611\pi\) |
−0.740746 | + | 0.671785i | \(0.765528\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.974903 | + | 1.68858i | −0.148671 | + | 0.257506i | −0.930737 | − | 0.365690i | \(-0.880833\pi\) |
0.782065 | + | 0.623196i | \(0.214166\pi\) | |||||||
\(44\) | 6.68583 | − | 3.86007i | 1.00793 | − | 0.581927i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.21620 | − | 2.10652i | 0.179319 | − | 0.310589i | ||||
\(47\) | 8.13518 | 1.18664 | 0.593319 | − | 0.804967i | \(-0.297817\pi\) | ||||
0.593319 | + | 0.804967i | \(0.297817\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.14802 | − | 0.662809i | 0.162354 | − | 0.0937353i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.42568 | + | 3.70987i | −0.891082 | + | 0.514466i | ||||
\(53\) | 5.27766 | + | 3.04706i | 0.724943 | + | 0.418546i | 0.816569 | − | 0.577248i | \(-0.195873\pi\) |
−0.0916264 | + | 0.995793i | \(0.529207\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.74759i | − | 0.909845i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.53834 | − | 14.7888i | 1.12114 | − | 1.94187i | ||||
\(59\) | −3.96206 | −0.515816 | −0.257908 | − | 0.966170i | \(-0.583033\pi\) | ||||
−0.257908 | + | 0.966170i | \(0.583033\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 4.79219i | − | 0.613577i | −0.951778 | − | 0.306788i | \(-0.900746\pi\) | ||
0.951778 | − | 0.306788i | \(-0.0992544\pi\) | |||||||
\(62\) | 12.5068 | 1.58837 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.7627 | 1.34534 | ||||||||
\(65\) | 6.48504i | 0.804370i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.673961 | −0.0823375 | −0.0411687 | − | 0.999152i | \(-0.513108\pi\) | ||||
−0.0411687 | + | 0.999152i | \(0.513108\pi\) | |||||||
\(68\) | −1.95182 | + | 3.38065i | −0.236693 | + | 0.409963i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.01535i | 0.832568i | 0.909235 | + | 0.416284i | \(0.136668\pi\) | ||||
−0.909235 | + | 0.416284i | \(0.863332\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.96276 | + | 1.71055i | 0.346765 | + | 0.200205i | 0.663259 | − | 0.748390i | \(-0.269173\pi\) |
−0.316495 | + | 0.948594i | \(0.602506\pi\) | |||||||
\(74\) | 10.2590 | − | 5.92301i | 1.19258 | − | 0.688536i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.4553 | − | 6.61374i | 1.31402 | − | 0.758648i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.1595 | −1.59306 | −0.796532 | − | 0.604596i | \(-0.793335\pi\) | ||||
−0.796532 | + | 0.604596i | \(0.793335\pi\) | |||||||
\(80\) | 3.20267 | − | 5.54718i | 0.358069 | − | 0.620194i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.91318 | − | 2.83662i | 0.542570 | − | 0.313253i | ||||
\(83\) | −1.54535 | + | 2.67662i | −0.169624 | + | 0.293798i | −0.938288 | − | 0.345856i | \(-0.887589\pi\) |
0.768664 | + | 0.639653i | \(0.220922\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.70594 | + | 2.95477i | 0.185035 | + | 0.320490i | ||||
\(86\) | 3.53839 | + | 2.04289i | 0.381554 | + | 0.220291i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.32286 | − | 2.29127i | −0.141018 | − | 0.244250i | ||||
\(89\) | 2.45766 | + | 4.25679i | 0.260511 | + | 0.451219i | 0.966378 | − | 0.257126i | \(-0.0827756\pi\) |
−0.705867 | + | 0.708345i | \(0.749442\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.40363 | − | 1.38774i | −0.250596 | − | 0.144682i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 17.0471i | − | 1.75828i | ||||||
\(95\) | − | 11.5611i | − | 1.18615i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.07939 | + | 1.20054i | 0.211130 | + | 0.121896i | 0.601837 | − | 0.798619i | \(-0.294436\pi\) |
−0.390706 | + | 0.920515i | \(0.627769\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.756296 | − | 1.30994i | −0.0756296 | − | 0.130994i | ||||
\(101\) | −1.76025 | − | 3.04885i | −0.175152 | − | 0.303372i | 0.765062 | − | 0.643957i | \(-0.222708\pi\) |
−0.940214 | + | 0.340585i | \(0.889375\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.5832 | + | 7.84228i | 1.33840 | + | 0.772723i | 0.986569 | − | 0.163342i | \(-0.0522275\pi\) |
0.351826 | + | 0.936065i | \(0.385561\pi\) | |||||||
\(104\) | 1.27139 | + | 2.20211i | 0.124670 | + | 0.215935i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.38506 | − | 11.0592i | 0.620172 | − | 1.07417i | ||||
\(107\) | −1.41984 | + | 0.819746i | −0.137261 | + | 0.0792478i | −0.567058 | − | 0.823678i | \(-0.691919\pi\) |
0.429797 | + | 0.902926i | \(0.358585\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.90672 | − | 5.03459i | 0.278414 | − | 0.482227i | −0.692577 | − | 0.721344i | \(-0.743525\pi\) |
0.970991 | + | 0.239117i | \(0.0768581\pi\) | |||||||
\(110\) | −14.1395 | −1.34814 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −13.9931 | + | 8.07894i | −1.31636 | + | 0.760003i | −0.983142 | − | 0.182845i | \(-0.941469\pi\) |
−0.333222 | + | 0.942848i | \(0.608136\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.10084 | + | 1.21292i | −0.195904 | + | 0.113105i | ||||
\(116\) | −16.8748 | − | 9.74265i | −1.56678 | − | 0.904582i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.30241i | 0.764299i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.287505 | + | 0.497972i | −0.0261368 | + | 0.0452702i | ||||
\(122\) | −10.0419 | −0.909155 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 14.2709i | − | 1.28156i | ||||||
\(125\) | −11.7712 | −1.05285 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.59240 | −0.851188 | −0.425594 | − | 0.904914i | \(-0.639935\pi\) | ||||
−0.425594 | + | 0.904914i | \(0.639935\pi\) | |||||||
\(128\) | − | 6.43006i | − | 0.568343i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 13.5893 | 1.19186 | ||||||||
\(131\) | 1.23061 | − | 2.13148i | 0.107519 | − | 0.186228i | −0.807246 | − | 0.590216i | \(-0.799043\pi\) |
0.914765 | + | 0.403987i | \(0.132376\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.41227i | 0.122002i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.15856 | + | 0.668896i | 0.0993459 | + | 0.0573574i | ||||
\(137\) | 15.0571 | − | 8.69322i | 1.28641 | − | 0.742712i | 0.308401 | − | 0.951256i | \(-0.400206\pi\) |
0.978013 | + | 0.208545i | \(0.0668727\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.61174 | + | 4.97199i | −0.730438 | + | 0.421719i | −0.818582 | − | 0.574389i | \(-0.805240\pi\) |
0.0881443 | + | 0.996108i | \(0.471906\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.7005 | 1.23364 | ||||||||
\(143\) | −5.00967 | + | 8.67701i | −0.418930 | + | 0.725608i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.7490 | + | 8.51532i | −1.22483 | + | 0.707159i | ||||
\(146\) | 3.58442 | − | 6.20840i | 0.296649 | − | 0.513811i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.75843 | − | 11.7060i | −0.555540 | − | 0.962223i | ||||
\(149\) | −8.01695 | − | 4.62859i | −0.656774 | − | 0.379189i | 0.134273 | − | 0.990944i | \(-0.457130\pi\) |
−0.791047 | + | 0.611756i | \(0.790464\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.98489 | + | 10.3661i | 0.487044 | + | 0.843584i | 0.999889 | − | 0.0148966i | \(-0.00474192\pi\) |
−0.512845 | + | 0.858481i | \(0.671409\pi\) | |||||||
\(152\) | −2.26656 | − | 3.92579i | −0.183842 | − | 0.318424i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.8020 | − | 6.23656i | −0.867641 | − | 0.500933i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 17.8514i | − | 1.42470i | −0.701826 | − | 0.712348i | \(-0.747632\pi\) | ||
0.701826 | − | 0.712348i | \(-0.252368\pi\) | |||||||
\(158\) | 29.6709i | 2.36049i | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −14.5901 | − | 8.42358i | −1.15345 | − | 0.665943i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.91768 | − | 15.4459i | −0.698486 | − | 1.20981i | −0.968991 | − | 0.247095i | \(-0.920524\pi\) |
0.270505 | − | 0.962719i | \(-0.412809\pi\) | |||||||
\(164\) | −3.23672 | − | 5.60616i | −0.252745 | − | 0.437768i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.60881 | + | 3.23825i | 0.435328 | + | 0.251337i | ||||
\(167\) | 6.16899 | + | 10.6850i | 0.477371 | + | 0.826830i | 0.999664 | − | 0.0259359i | \(-0.00825657\pi\) |
−0.522293 | + | 0.852766i | \(0.674923\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.68526 | + | 2.91896i | −0.129635 | + | 0.224535i | ||||
\(170\) | 6.19166 | − | 3.57476i | 0.474879 | − | 0.274171i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.33103 | − | 4.03747i | 0.177740 | − | 0.307854i | ||||
\(173\) | 9.06736 | 0.689379 | 0.344689 | − | 0.938717i | \(-0.387984\pi\) | ||||
0.344689 | + | 0.938717i | \(0.387984\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.57037 | − | 4.94810i | 0.646016 | − | 0.372977i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.92002 | − | 5.14997i | 0.668584 | − | 0.386007i | ||||
\(179\) | −13.0086 | − | 7.51051i | −0.972307 | − | 0.561362i | −0.0723682 | − | 0.997378i | \(-0.523056\pi\) |
−0.899939 | + | 0.436016i | \(0.856389\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 2.34159i | − | 0.174049i | −0.996206 | − | 0.0870246i | \(-0.972264\pi\) | ||
0.996206 | − | 0.0870246i | \(-0.0277359\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.475584 | + | 0.823736i | −0.0350605 | + | 0.0607266i | ||||
\(185\) | −11.8141 | −0.868589 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.27132i | 0.385477i | ||||||||
\(188\) | −19.4516 | −1.41865 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −24.2262 | −1.75755 | ||||||||
\(191\) | − | 9.03651i | − | 0.653859i | −0.945049 | − | 0.326929i | \(-0.893986\pi\) | ||
0.945049 | − | 0.326929i | \(-0.106014\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.48269 | −0.394652 | −0.197326 | − | 0.980338i | \(-0.563226\pi\) | ||||
−0.197326 | + | 0.980338i | \(0.563226\pi\) | |||||||
\(194\) | 2.51570 | − | 4.35733i | 0.180617 | − | 0.312838i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 2.88946i | − | 0.205865i | −0.994688 | − | 0.102933i | \(-0.967177\pi\) | ||
0.994688 | − | 0.102933i | \(-0.0328226\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.45419 | − | 2.57163i | −0.315749 | − | 0.182298i | 0.333747 | − | 0.942663i | \(-0.391687\pi\) |
−0.649496 | + | 0.760365i | \(0.725020\pi\) | |||||||
\(200\) | −0.448923 | + | 0.259186i | −0.0317437 | + | 0.0183272i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.38881 | + | 3.68858i | −0.449515 | + | 0.259528i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.65795 | −0.395168 | ||||||||
\(206\) | 16.4334 | − | 28.4634i | 1.14497 | − | 1.98314i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −8.23688 | + | 4.75557i | −0.571125 | + | 0.329739i | ||||
\(209\) | 8.93095 | − | 15.4689i | 0.617767 | − | 1.07000i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.93224 | + | 13.7390i | 0.546078 | + | 0.945835i | 0.998538 | + | 0.0540502i | \(0.0172131\pi\) |
−0.452460 | + | 0.891785i | \(0.649454\pi\) | |||||||
\(212\) | −12.6191 | − | 7.28565i | −0.866684 | − | 0.500380i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.71776 | + | 2.97525i | 0.117424 | + | 0.203384i | ||||
\(215\) | −2.03738 | − | 3.52885i | −0.138948 | − | 0.240666i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −10.5499 | − | 6.09099i | −0.714529 | − | 0.412534i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 16.1338i | 1.08774i | ||||||||
\(221\) | − | 5.06621i | − | 0.340790i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.5288 | + | 7.81085i | 0.905955 | + | 0.523053i | 0.879127 | − | 0.476587i | \(-0.158126\pi\) |
0.0268275 | + | 0.999640i | \(0.491460\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 16.9293 | + | 29.3224i | 1.12612 | + | 1.95049i | ||||
\(227\) | 1.04045 | + | 1.80211i | 0.0690569 | + | 0.119610i | 0.898486 | − | 0.439001i | \(-0.144668\pi\) |
−0.829430 | + | 0.558611i | \(0.811334\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.57233 | − | 3.21719i | −0.368230 | − | 0.212598i | 0.304455 | − | 0.952527i | \(-0.401526\pi\) |
−0.672685 | + | 0.739929i | \(0.734859\pi\) | |||||||
\(230\) | 2.54165 | + | 4.40226i | 0.167591 | + | 0.290277i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.33885 | + | 5.78305i | −0.219206 | + | 0.379676i | ||||
\(233\) | −13.5222 | + | 7.80704i | −0.885868 | + | 0.511456i | −0.872589 | − | 0.488456i | \(-0.837560\pi\) |
−0.0132791 | + | 0.999912i | \(0.504227\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.50057 | + | 14.7234i | −0.554516 | + | 0.960450i | ||||
\(236\) | 9.47344 | 0.616668 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.8777 | − | 8.58964i | 0.962358 | − | 0.555618i | 0.0654600 | − | 0.997855i | \(-0.479149\pi\) |
0.896898 | + | 0.442238i | \(0.145815\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.71544 | + | 5.60921i | −0.625827 | + | 0.361321i | −0.779134 | − | 0.626857i | \(-0.784341\pi\) |
0.153307 | + | 0.988179i | \(0.451008\pi\) | |||||||
\(242\) | 1.04349 | + | 0.602460i | 0.0670782 | + | 0.0387276i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.4583i | 0.733544i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.58343 | + | 14.8669i | −0.546151 | + | 0.945961i | ||||
\(248\) | −4.89070 | −0.310560 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 24.6663i | 1.56004i | ||||||||
\(251\) | −11.3837 | −0.718535 | −0.359267 | − | 0.933235i | \(-0.616973\pi\) | ||||
−0.359267 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.74790 | −0.235629 | ||||||||
\(254\) | 20.1007i | 1.26123i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.05134 | 0.503209 | ||||||||
\(257\) | 4.69024 | − | 8.12373i | 0.292569 | − | 0.506745i | −0.681847 | − | 0.731494i | \(-0.738823\pi\) |
0.974416 | + | 0.224750i | \(0.0721565\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 15.5060i | − | 0.961641i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.46647 | − | 2.57872i | −0.275940 | − | 0.159314i | ||||
\(263\) | 7.62367 | − | 4.40153i | 0.470096 | − | 0.271410i | −0.246184 | − | 0.969223i | \(-0.579177\pi\) |
0.716280 | + | 0.697813i | \(0.245843\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0294 | + | 6.36784i | −0.677532 | + | 0.391173i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.61147 | 0.0984362 | ||||||||
\(269\) | −8.16473 | + | 14.1417i | −0.497812 | + | 0.862236i | −0.999997 | − | 0.00252412i | \(-0.999197\pi\) |
0.502184 | + | 0.864761i | \(0.332530\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.6186 | − | 7.28538i | 0.766528 | − | 0.442555i | −0.0651065 | − | 0.997878i | \(-0.520739\pi\) |
0.831635 | + | 0.555323i | \(0.187405\pi\) | |||||||
\(272\) | −2.50197 | + | 4.33355i | −0.151704 | + | 0.262760i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.2165 | − | 31.5519i | −1.10050 | − | 1.90612i | ||||
\(275\) | −1.76890 | − | 1.02127i | −0.106669 | − | 0.0615851i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.3568 | − | 24.8668i | −0.862618 | − | 1.49410i | −0.869393 | − | 0.494122i | \(-0.835490\pi\) |
0.00677410 | − | 0.999977i | \(-0.497844\pi\) | |||||||
\(278\) | 10.4187 | + | 18.0457i | 0.624873 | + | 1.08231i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.76893 | + | 2.75334i | 0.284490 | + | 0.164251i | 0.635455 | − | 0.772138i | \(-0.280813\pi\) |
−0.350964 | + | 0.936389i | \(0.614146\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 30.2829i | 1.80013i | 0.435756 | + | 0.900065i | \(0.356481\pi\) | ||||
−0.435756 | + | 0.900065i | \(0.643519\pi\) | |||||||
\(284\) | − | 16.7740i | − | 0.995353i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 18.1825 | + | 10.4977i | 1.07515 | + | 0.620740i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.16730 | + | 12.4141i | 0.421606 | + | 0.730242i | ||||
\(290\) | 17.8437 | + | 30.9062i | 1.04782 | + | 1.81487i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.08408 | − | 4.08999i | −0.414564 | − | 0.239349i | ||||
\(293\) | 3.54362 | + | 6.13773i | 0.207021 | + | 0.358570i | 0.950775 | − | 0.309883i | \(-0.100290\pi\) |
−0.743754 | + | 0.668453i | \(0.766957\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.14001 | − | 7.17071i | 0.241041 | − | 0.417495i | ||||
\(296\) | −4.01168 | + | 2.31615i | −0.233174 | + | 0.134623i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.69912 | + | 16.7994i | −0.561855 | + | 0.973161i | ||||
\(299\) | 3.60207 | 0.208313 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 21.7220 | − | 12.5412i | 1.24996 | − | 0.721667i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 14.6842 | − | 8.47795i | 0.842198 | − | 0.486244i | ||||
\(305\) | 8.67313 | + | 5.00743i | 0.496622 | + | 0.286725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.11346i | 0.177695i | 0.996045 | + | 0.0888473i | \(0.0283183\pi\) | ||||
−0.996045 | + | 0.0888473i | \(0.971682\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.0686 | + | 22.6355i | −0.742247 | + | 1.28561i | ||||
\(311\) | 19.4521 | 1.10303 | 0.551514 | − | 0.834166i | \(-0.314051\pi\) | ||||
0.551514 | + | 0.834166i | \(0.314051\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 25.5447i | − | 1.44387i | −0.691959 | − | 0.721937i | \(-0.743252\pi\) | ||
0.691959 | − | 0.721937i | \(-0.256748\pi\) | |||||||
\(314\) | −37.4073 | −2.11101 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 33.8559 | 1.90454 | ||||||||
\(317\) | 16.2274i | 0.911424i | 0.890127 | + | 0.455712i | \(0.150615\pi\) | ||||
−0.890127 | + | 0.455712i | \(0.849385\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −26.3122 | −1.47320 | ||||||||
\(320\) | −11.2461 | + | 19.4789i | −0.628677 | + | 1.08890i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.03174i | 0.502540i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.70007 | + | 0.981535i | 0.0943029 | + | 0.0544458i | ||||
\(326\) | −32.3665 | + | 18.6868i | −1.79262 | + | 1.03497i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.92126 | + | 1.10924i | −0.106084 | + | 0.0612474i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.3117 | 1.28132 | 0.640662 | − | 0.767823i | \(-0.278660\pi\) | ||||
0.640662 | + | 0.767823i | \(0.278660\pi\) | |||||||
\(332\) | 3.69499 | − | 6.39992i | 0.202789 | − | 0.351241i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 22.3902 | − | 12.9270i | 1.22514 | − | 0.707334i | ||||
\(335\) | 0.704232 | − | 1.21977i | 0.0384763 | − | 0.0666430i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.93515 | + | 10.2800i | 0.323308 | + | 0.559986i | 0.981168 | − | 0.193154i | \(-0.0618717\pi\) |
−0.657860 | + | 0.753140i | \(0.728538\pi\) | |||||||
\(338\) | 6.11662 | + | 3.53143i | 0.332700 | + | 0.192085i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.07897 | − | 7.06498i | −0.221213 | − | 0.383152i | ||||
\(341\) | −9.63545 | − | 16.6891i | −0.521789 | − | 0.903765i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −1.38366 | − | 0.798855i | −0.0746019 | − | 0.0430714i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 19.0005i | − | 1.02147i | ||||||
\(347\) | 21.7060i | 1.16524i | 0.812745 | + | 0.582619i | \(0.197972\pi\) | ||||
−0.812745 | + | 0.582619i | \(0.802028\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.20868 | + | 1.27518i | 0.118228 | + | 0.0682588i | 0.557948 | − | 0.829876i | \(-0.311589\pi\) |
−0.439720 | + | 0.898135i | \(0.644922\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.0144 | − | 22.5416i | −0.693669 | − | 1.20147i | ||||
\(353\) | −12.6873 | − | 21.9751i | −0.675279 | − | 1.16962i | −0.976387 | − | 0.216027i | \(-0.930690\pi\) |
0.301109 | − | 0.953590i | \(-0.402643\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.6967 | − | 7.33044i | −0.673871 | − | 0.389059i | ||||
\(356\) | −5.87636 | − | 10.1782i | −0.311446 | − | 0.539441i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.7381 | + | 27.2592i | −0.831786 | + | 1.44070i | ||||
\(359\) | −9.73735 | + | 5.62186i | −0.513918 | + | 0.296711i | −0.734443 | − | 0.678671i | \(-0.762556\pi\) |
0.220525 | + | 0.975381i | \(0.429223\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.80204 | − | 10.0494i | 0.305371 | − | 0.528917i | ||||
\(362\) | −4.90676 | −0.257894 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.19166 | + | 3.57476i | −0.324086 | + | 0.187111i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.86810 | + | 1.65590i | −0.149714 | + | 0.0864372i | −0.572985 | − | 0.819566i | \(-0.694215\pi\) |
0.423272 | + | 0.906003i | \(0.360882\pi\) | |||||||
\(368\) | −3.08114 | − | 1.77890i | −0.160616 | − | 0.0927315i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 24.7562i | 1.28701i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.32271 | − | 5.75510i | 0.172043 | − | 0.297988i | −0.767091 | − | 0.641539i | \(-0.778296\pi\) |
0.939134 | + | 0.343551i | \(0.111630\pi\) | |||||||
\(374\) | 11.0460 | 0.571173 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.66613i | 0.343780i | ||||||||
\(377\) | 25.2884 | 1.30242 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.84940 | −0.197730 | −0.0988652 | − | 0.995101i | \(-0.531521\pi\) | ||||
−0.0988652 | + | 0.995101i | \(0.531521\pi\) | |||||||
\(380\) | 27.6432i | 1.41807i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −18.9358 | −0.968842 | ||||||||
\(383\) | −17.1112 | + | 29.6374i | −0.874339 | + | 1.51440i | −0.0168739 | + | 0.999858i | \(0.505371\pi\) |
−0.857465 | + | 0.514542i | \(0.827962\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.4889i | 0.584768i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.97191 | − | 2.87054i | −0.252411 | − | 0.145729i | ||||
\(389\) | −11.6737 | + | 6.73982i | −0.591881 | + | 0.341723i | −0.765841 | − | 0.643030i | \(-0.777677\pi\) |
0.173960 | + | 0.984753i | \(0.444344\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.64121 | − | 0.947550i | 0.0829993 | − | 0.0479197i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.05480 | −0.305036 | ||||||||
\(395\) | 14.7954 | − | 25.6265i | 0.744440 | − | 1.28941i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 25.5501 | − | 14.7513i | 1.28232 | − | 0.740349i | 0.305049 | − | 0.952337i | \(-0.401327\pi\) |
0.977272 | + | 0.211988i | \(0.0679938\pi\) | |||||||
\(398\) | −5.38880 | + | 9.33367i | −0.270116 | + | 0.467855i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.969472 | − | 1.67918i | −0.0484736 | − | 0.0839588i | ||||
\(401\) | 25.1534 | + | 14.5223i | 1.25610 | + | 0.725209i | 0.972314 | − | 0.233678i | \(-0.0750763\pi\) |
0.283786 | + | 0.958888i | \(0.408410\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.26052 | + | 16.0397i | 0.461300 | + | 0.798994i | ||||
\(404\) | 4.20884 | + | 7.28993i | 0.209398 | + | 0.362687i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.8073 | − | 9.12634i | −0.783538 | − | 0.452376i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.2755i | 1.49703i | 0.663121 | + | 0.748513i | \(0.269232\pi\) | ||||
−0.663121 | + | 0.748513i | \(0.730768\pi\) | |||||||
\(410\) | 11.8561i | 0.585532i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −32.4781 | − | 18.7512i | −1.60008 | − | 0.923806i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.22952 | − | 5.59369i | −0.158531 | − | 0.274583i | ||||
\(416\) | 12.5080 | + | 21.6645i | 0.613254 | + | 1.06219i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −32.4147 | − | 18.7146i | −1.58545 | − | 0.915363i | ||||
\(419\) | −18.2902 | − | 31.6795i | −0.893534 | − | 1.54765i | −0.835609 | − | 0.549325i | \(-0.814885\pi\) |
−0.0579246 | − | 0.998321i | \(-0.518448\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.85999 | − | 6.68570i | 0.188124 | − | 0.325841i | −0.756501 | − | 0.653993i | \(-0.773093\pi\) |
0.944625 | + | 0.328152i | \(0.106426\pi\) | |||||||
\(422\) | 28.7899 | − | 16.6219i | 1.40147 | − | 0.809140i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.49682 | + | 4.32463i | −0.121256 | + | 0.210022i | ||||
\(425\) | 1.03280 | 0.0500982 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 3.39490 | − | 1.96005i | 0.164099 | − | 0.0947424i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.39464 | + | 4.26930i | −0.356601 | + | 0.205884i | ||||
\(431\) | −20.0311 | − | 11.5650i | −0.964865 | − | 0.557065i | −0.0671983 | − | 0.997740i | \(-0.521406\pi\) |
−0.897667 | + | 0.440674i | \(0.854739\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 34.9265i | − | 1.67846i | −0.543776 | − | 0.839230i | \(-0.683006\pi\) | ||
0.543776 | − | 0.839230i | \(-0.316994\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.95010 | + | 12.0379i | −0.332849 | + | 0.576512i | ||||
\(437\) | −6.42155 | −0.307185 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 38.8952i | 1.85637i | 0.372122 | + | 0.928184i | \(0.378630\pi\) | ||||
−0.372122 | + | 0.928184i | \(0.621370\pi\) | |||||||
\(440\) | 5.52912 | 0.263590 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.6161 | −0.504959 | ||||||||
\(443\) | − | 37.3289i | − | 1.77355i | −0.462204 | − | 0.886774i | \(-0.652941\pi\) | ||
0.462204 | − | 0.886774i | \(-0.347059\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.2722 | −0.486948 | ||||||||
\(446\) | 16.3675 | − | 28.3493i | 0.775023 | − | 1.34238i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 23.9224i | − | 1.12897i | −0.825445 | − | 0.564483i | \(-0.809076\pi\) | ||
0.825445 | − | 0.564483i | \(-0.190924\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.57036 | − | 4.37075i | −0.356474 | − | 0.205810i | ||||
\(452\) | 33.4582 | − | 19.3171i | 1.57374 | − | 0.908600i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.77628 | − | 2.18024i | 0.177230 | − | 0.102324i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.98063 | 0.466874 | 0.233437 | − | 0.972372i | \(-0.425003\pi\) | ||||
0.233437 | + | 0.972372i | \(0.425003\pi\) | |||||||
\(458\) | −6.74155 | + | 11.6767i | −0.315012 | + | 0.545617i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.02319 | − | 2.90014i | 0.234207 | − | 0.135220i | ||||
\(461\) | −16.7279 | + | 28.9735i | −0.779094 | + | 1.34943i | 0.153371 | + | 0.988169i | \(0.450987\pi\) |
−0.932465 | + | 0.361261i | \(0.882346\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.5353 | + | 19.9798i | 0.536092 | + | 0.928538i | 0.999110 | + | 0.0421893i | \(0.0134333\pi\) |
−0.463018 | + | 0.886349i | \(0.653233\pi\) | |||||||
\(464\) | −21.6312 | − | 12.4888i | −1.00420 | − | 0.579778i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.3595 | + | 28.3355i | 0.757839 | + | 1.31262i | ||||
\(467\) | −20.1395 | − | 34.8827i | −0.931946 | − | 1.61418i | −0.779991 | − | 0.625791i | \(-0.784776\pi\) |
−0.151955 | − | 0.988387i | \(-0.548557\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 30.8527 | + | 17.8128i | 1.42313 | + | 0.821643i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 3.24659i | − | 0.149436i | ||||||
\(473\) | − | 6.29549i | − | 0.289467i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.03078 | − | 1.74982i | −0.139062 | − | 0.0802874i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.9994 | − | 31.1759i | −0.823275 | − | 1.42595i | ||||
\(479\) | −0.0777513 | − | 0.134669i | −0.00355255 | − | 0.00615319i | 0.864244 | − | 0.503073i | \(-0.167797\pi\) |
−0.867796 | + | 0.496920i | \(0.834464\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.1922 | + | 8.77123i | 0.692705 | + | 0.399934i | ||||
\(482\) | 11.7540 | + | 20.3585i | 0.535380 | + | 0.927305i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.687435 | − | 1.19067i | 0.0312471 | − | 0.0541215i | ||||
\(485\) | −4.34558 | + | 2.50892i | −0.197323 | + | 0.113924i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.25111 | − | 14.2913i | 0.373893 | − | 0.647602i | −0.616267 | − | 0.787537i | \(-0.711356\pi\) |
0.990161 | + | 0.139935i | \(0.0446892\pi\) | |||||||
\(488\) | 3.92682 | 0.177759 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −8.10003 | + | 4.67655i | −0.365549 | + | 0.211050i | −0.671512 | − | 0.740993i | \(-0.734355\pi\) |
0.305963 | + | 0.952043i | \(0.401022\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.5221 | − | 6.65230i | 0.518930 | − | 0.299604i | ||||
\(494\) | 31.1534 | + | 17.9864i | 1.40166 | + | 0.809248i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 18.2934i | − | 0.821399i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.998116 | + | 1.72879i | −0.0446818 | + | 0.0773912i | −0.887501 | − | 0.460805i | \(-0.847561\pi\) |
0.842820 | + | 0.538196i | \(0.180894\pi\) | |||||||
\(500\) | 28.1454 | 1.25870 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 23.8544i | 1.06467i | ||||||||
\(503\) | 15.7008 | 0.700063 | 0.350032 | − | 0.936738i | \(-0.386171\pi\) | ||||
0.350032 | + | 0.936738i | \(0.386171\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.35727 | 0.327394 | ||||||||
\(506\) | 7.85366i | 0.349138i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 22.9358 | 1.01761 | ||||||||
\(509\) | −7.59893 | + | 13.1617i | −0.336817 | + | 0.583383i | −0.983832 | − | 0.179093i | \(-0.942684\pi\) |
0.647016 | + | 0.762477i | \(0.276017\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 29.7316i | − | 1.31396i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −17.0231 | − | 9.82831i | −0.750858 | − | 0.433508i | ||||
\(515\) | −28.3867 | + | 16.3890i | −1.25087 | + | 0.722187i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −22.7476 | + | 13.1333i | −1.00044 | + | 0.577603i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.31397 | −0.233033 | ||||||||
\(521\) | −20.6160 | + | 35.7080i | −0.903204 | + | 1.56440i | −0.0798940 | + | 0.996803i | \(0.525458\pi\) |
−0.823310 | + | 0.567592i | \(0.807875\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −37.0311 | + | 21.3799i | −1.61926 | + | 0.934878i | −0.632143 | + | 0.774852i | \(0.717824\pi\) |
−0.987113 | + | 0.160026i | \(0.948842\pi\) | |||||||
\(524\) | −2.94244 | + | 5.09645i | −0.128541 | + | 0.222640i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.22332 | − | 15.9753i | −0.402156 | − | 0.696554i | ||||
\(527\) | 8.43872 | + | 4.87210i | 0.367596 | + | 0.212232i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.8263 | − | 18.7517i | −0.470708 | − | 0.815291i | ||||
\(530\) | 13.3437 | + | 23.1119i | 0.579613 | + | 1.00392i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 7.27579 | + | 4.20068i | 0.315149 | + | 0.181952i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 3.42626i | − | 0.148130i | ||||||
\(536\) | − | 0.552258i | − | 0.0238539i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 29.6337 | + | 17.1090i | 1.27760 | + | 0.737623i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.04309 | + | 13.9310i | 0.345800 | + | 0.598942i | 0.985499 | − | 0.169683i | \(-0.0542744\pi\) |
−0.639699 | + | 0.768625i | \(0.720941\pi\) | |||||||
\(542\) | −15.2664 | − | 26.4421i | −0.655747 | − | 1.13579i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 11.3980 | + | 6.58063i | 0.488685 | + | 0.282142i | ||||
\(545\) | 6.07456 | + | 10.5214i | 0.260206 | + | 0.450689i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.94015 | + | 10.2886i | −0.253982 | + | 0.439910i | −0.964619 | − | 0.263649i | \(-0.915074\pi\) |
0.710636 | + | 0.703560i | \(0.248407\pi\) | |||||||
\(548\) | −36.0021 | + | 20.7858i | −1.53794 | + | 0.887927i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.14006 | + | 3.70669i | −0.0912525 | + | 0.158054i | ||||
\(551\) | −45.0827 | −1.92059 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −52.1078 | + | 30.0845i | −2.21385 | + | 1.27817i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.5910 | − | 11.8882i | 0.873254 | − | 0.504173i | ||||
\(557\) | −26.4006 | − | 15.2424i | −1.11863 | − | 0.645841i | −0.177579 | − | 0.984107i | \(-0.556827\pi\) |
−0.941051 | + | 0.338265i | \(0.890160\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.05052i | 0.255910i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.76958 | − | 9.99320i | 0.243375 | − | 0.421538i | ||||
\(563\) | −22.5371 | −0.949828 | −0.474914 | − | 0.880032i | \(-0.657521\pi\) | ||||
−0.474914 | + | 0.880032i | \(0.657521\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 33.7673i | − | 1.42060i | ||||||
\(566\) | 63.4572 | 2.66730 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.74852 | −0.241202 | ||||||||
\(569\) | − | 44.5639i | − | 1.86822i | −0.356992 | − | 0.934108i | \(-0.616198\pi\) | ||
0.356992 | − | 0.934108i | \(-0.383802\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 35.2830 | 1.47655 | 0.738274 | − | 0.674501i | \(-0.235641\pi\) | ||||
0.738274 | + | 0.674501i | \(0.235641\pi\) | |||||||
\(572\) | 11.9783 | − | 20.7471i | 0.500839 | − | 0.867479i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.734319i | 0.0306232i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.25158 | − | 1.87730i | −0.135365 | − | 0.0781531i | 0.430788 | − | 0.902453i | \(-0.358236\pi\) |
−0.566153 | + | 0.824300i | \(0.691569\pi\) | |||||||
\(578\) | 26.0136 | − | 15.0189i | 1.08202 | − | 0.624705i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 35.2654 | − | 20.3605i | 1.46432 | − | 0.845423i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −19.6765 | −0.814919 | ||||||||
\(584\) | −1.40166 | + | 2.42775i | −0.0580011 | + | 0.100461i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.8615 | − | 7.42559i | 0.531304 | − | 0.306748i | ||||
\(587\) | 15.8021 | − | 27.3700i | 0.652222 | − | 1.12968i | −0.330361 | − | 0.943855i | \(-0.607171\pi\) |
0.982583 | − | 0.185826i | \(-0.0594961\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.5091 | − | 28.5946i | −0.680246 | − | 1.17822i | ||||
\(590\) | −15.0261 | − | 8.67532i | −0.618614 | − | 0.357157i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.66343 | − | 15.0055i | −0.356065 | − | 0.616722i | ||||
\(593\) | 18.5588 | + | 32.1448i | 0.762120 | + | 1.32003i | 0.941756 | + | 0.336297i | \(0.109175\pi\) |
−0.179636 | + | 0.983733i | \(0.557492\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 19.1689 | + | 11.0671i | 0.785187 | + | 0.453328i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 7.54806i | − | 0.308663i | ||||||
\(599\) | − | 28.3119i | − | 1.15679i | −0.815756 | − | 0.578396i | \(-0.803679\pi\) | ||
0.815756 | − | 0.578396i | \(-0.196321\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.8341 | + | 12.0286i | 0.849840 | + | 0.490655i | 0.860597 | − | 0.509287i | \(-0.170091\pi\) |
−0.0107568 | + | 0.999942i | \(0.503424\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.3101 | − | 24.7859i | −0.582271 | − | 1.00852i | ||||
\(605\) | −0.600836 | − | 1.04068i | −0.0244274 | − | 0.0423096i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.24496 | − | 4.76023i | −0.334653 | − | 0.193212i | 0.323252 | − | 0.946313i | \(-0.395224\pi\) |
−0.657905 | + | 0.753101i | \(0.728557\pi\) | |||||||
\(608\) | −22.2985 | − | 38.6221i | −0.904323 | − | 1.56633i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.4930 | − | 18.1744i | 0.424848 | − | 0.735859i | ||||
\(611\) | 21.8625 | − | 12.6223i | 0.884461 | − | 0.510644i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.23108 | − | 2.13230i | 0.0497230 | − | 0.0861227i | −0.840093 | − | 0.542443i | \(-0.817499\pi\) |
0.889816 | + | 0.456320i | \(0.150833\pi\) | |||||||
\(614\) | 6.52420 | 0.263295 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.7738 | + | 10.8390i | −0.755804 | + | 0.436364i | −0.827787 | − | 0.561042i | \(-0.810401\pi\) |
0.0719831 | + | 0.997406i | \(0.477067\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.8767 | − | 12.0532i | 0.839105 | − | 0.484457i | −0.0178550 | − | 0.999841i | \(-0.505684\pi\) |
0.856960 | + | 0.515383i | \(0.172350\pi\) | |||||||
\(620\) | 25.8281 | + | 14.9119i | 1.03728 | + | 0.598875i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 40.7615i | − | 1.63439i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.7184 | − | 18.5648i | 0.428735 | − | 0.742591i | ||||
\(626\) | −53.5285 | −2.13943 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 42.6834i | 1.70325i | ||||||||
\(629\) | 9.22934 | 0.367998 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.37520 | 0.134365 | 0.0671824 | − | 0.997741i | \(-0.478599\pi\) | ||||
0.0671824 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(632\) | − | 11.6026i | − | 0.461525i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 34.0043 | 1.35048 | ||||||||
\(635\) | 10.0232 | − | 17.3608i | 0.397761 | − | 0.688941i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 55.1368i | 2.18289i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.6374 | + | 6.71887i | 0.460010 | + | 0.265587i | ||||
\(641\) | 30.9152 | − | 17.8489i | 1.22108 | − | 0.704989i | 0.255930 | − | 0.966695i | \(-0.417618\pi\) |
0.965148 | + | 0.261706i | \(0.0842850\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.03956 | − | 1.75489i | 0.119868 | − | 0.0692060i | −0.438867 | − | 0.898552i | \(-0.644620\pi\) |
0.558735 | + | 0.829346i | \(0.311287\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 18.9258 | 0.744627 | ||||||||
\(647\) | 7.02996 | − | 12.1762i | 0.276376 | − | 0.478698i | −0.694105 | − | 0.719874i | \(-0.744200\pi\) |
0.970481 | + | 0.241176i | \(0.0775331\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.0787 | − | 6.39629i | 0.434877 | − | 0.251076i | ||||
\(650\) | 2.05679 | − | 3.56246i | 0.0806739 | − | 0.139731i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.3225 | + | 36.9317i | 0.835055 | + | 1.44636i | ||||
\(653\) | 10.2675 | + | 5.92792i | 0.401797 | + | 0.231978i | 0.687259 | − | 0.726412i | \(-0.258814\pi\) |
−0.285462 | + | 0.958390i | \(0.592147\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.57177 | + | 4.45443i | 0.100487 | + | 0.174049i | ||||
\(656\) | −4.14905 | − | 7.18637i | −0.161993 | − | 0.280581i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.03144 | − | 2.90491i | −0.195997 | − | 0.113159i | 0.398790 | − | 0.917042i | \(-0.369430\pi\) |
−0.594787 | + | 0.803883i | \(0.702764\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 9.71786i | − | 0.377981i | −0.981979 | − | 0.188991i | \(-0.939478\pi\) | ||
0.981979 | − | 0.188991i | \(-0.0605215\pi\) | |||||||
\(662\) | − | 48.8491i | − | 1.89858i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.19328 | − | 1.26629i | −0.0851158 | − | 0.0491416i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.72977 | + | 8.19220i | 0.183137 | + | 0.317203i | ||||
\(668\) | −14.7503 | − | 25.5483i | −0.570707 | − | 0.988493i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.55600 | − | 1.47571i | −0.0987468 | − | 0.0570115i | ||||
\(671\) | 7.73645 | + | 13.3999i | 0.298662 | + | 0.517298i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.4646 | − | 23.3214i | 0.519023 | − | 0.898975i | −0.480732 | − | 0.876867i | \(-0.659629\pi\) |
0.999756 | − | 0.0221072i | \(-0.00703750\pi\) | |||||||
\(674\) | 21.5415 | − | 12.4370i | 0.829747 | − | 0.479055i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.02953 | − | 6.97935i | 0.154982 | − | 0.268436i | ||||
\(677\) | 45.4112 | 1.74530 | 0.872648 | − | 0.488350i | \(-0.162401\pi\) | ||||
0.872648 | + | 0.488350i | \(0.162401\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −2.42120 | + | 1.39788i | −0.0928487 | + | 0.0536062i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −34.9717 | + | 20.1909i | −1.33913 | + | 0.773150i | ||||
\(683\) | 37.6543 | + | 21.7397i | 1.44080 | + | 0.831848i | 0.997903 | − | 0.0647226i | \(-0.0206162\pi\) |
0.442900 | + | 0.896571i | \(0.353950\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.3347i | 1.38828i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.98808 | − | 5.17551i | 0.113919 | − | 0.197314i | ||||
\(689\) | 18.9109 | 0.720448 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 27.3654i | − | 1.04103i | −0.853853 | − | 0.520514i | \(-0.825740\pi\) | ||
0.853853 | − | 0.520514i | \(-0.174260\pi\) | |||||||
\(692\) | −21.6804 | −0.824166 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 45.4845 | 1.72657 | ||||||||
\(695\) | − | 20.7812i | − | 0.788277i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.42008 | 0.167422 | ||||||||
\(698\) | 2.67212 | − | 4.62824i | 0.101141 | − | 0.175182i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 8.26437i | − | 0.312141i | −0.987746 | − | 0.156070i | \(-0.950117\pi\) | ||
0.987746 | − | 0.156070i | \(-0.0498827\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −27.0838 | − | 15.6368i | −1.02148 | − | 0.589754i | ||||
\(704\) | −30.0947 | + | 17.3752i | −1.13424 | + | 0.654852i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −46.0484 | + | 26.5861i | −1.73306 | + | 1.00058i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 42.8171 | 1.60803 | 0.804015 | − | 0.594608i | \(-0.202693\pi\) | ||||
0.804015 | + | 0.594608i | \(0.202693\pi\) | |||||||
\(710\) | −15.3608 | + | 26.6057i | −0.576481 | + | 0.998494i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.48810 | + | 2.01385i | −0.130722 | + | 0.0754724i | ||||
\(713\) | −3.46405 | + | 5.99992i | −0.129730 | + | 0.224699i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.4694 | − | 18.1335i | −0.391532 | − | 0.678153i | ||||
\(716\) | 31.1041 | + | 17.9579i | 1.16241 | + | 0.671120i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 11.7805 | + | 20.4044i | 0.439645 | + | 0.761487i | ||||
\(719\) | −11.5725 | − | 20.0442i | −0.431583 | − | 0.747523i | 0.565427 | − | 0.824798i | \(-0.308711\pi\) |
−0.997010 | + | 0.0772751i | \(0.975378\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −21.0584 | − | 12.1581i | −0.783712 | − | 0.452477i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.59884i | 0.208079i | ||||||||
\(725\) | 5.15530i | 0.191463i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.76878 | + | 2.75326i | 0.176864 | + | 0.102113i | 0.585819 | − | 0.810442i | \(-0.300773\pi\) |
−0.408954 | + | 0.912555i | \(0.634106\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.49084 | + | 12.9745i | 0.277248 | + | 0.480208i | ||||
\(731\) | 1.59163 | + | 2.75679i | 0.0588687 | + | 0.101964i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.45543 | + | 1.99499i | 0.127629 | + | 0.0736867i | 0.562455 | − | 0.826828i | \(-0.309857\pi\) |
−0.434826 | + | 0.900514i | \(0.643190\pi\) | |||||||
\(734\) | 3.46991 | + | 6.01005i | 0.128077 | + | 0.221835i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.67882 | + | 8.10395i | −0.172463 | + | 0.298716i | ||||
\(737\) | 1.88453 | − | 1.08803i | 0.0694176 | − | 0.0400783i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.871657 | − | 1.50976i | 0.0320644 | − | 0.0555372i | −0.849548 | − | 0.527512i | \(-0.823125\pi\) |
0.881612 | + | 0.471974i | \(0.156458\pi\) | |||||||
\(740\) | 28.2480 | 1.03842 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.70204 | + | 5.02413i | −0.319247 | + | 0.184317i | −0.651057 | − | 0.759029i | \(-0.725674\pi\) |
0.331810 | + | 0.943346i | \(0.392341\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.7541 | − | 9.67296i | 0.613821 | − | 0.354390i | ||||
\(746\) | −12.0597 | − | 6.96267i | −0.441537 | − | 0.254921i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.6040i | − | 0.460846i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.6725 | − | 20.2174i | 0.425936 | − | 0.737743i | −0.570571 | − | 0.821248i | \(-0.693278\pi\) |
0.996507 | + | 0.0835052i | \(0.0266115\pi\) | |||||||
\(752\) | −24.9344 | −0.909262 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 52.9913i | − | 1.92983i | ||||||
\(755\) | −25.0148 | −0.910383 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.3334 | −0.520957 | −0.260479 | − | 0.965480i | \(-0.583880\pi\) | ||||
−0.260479 | + | 0.965480i | \(0.583880\pi\) | |||||||
\(758\) | 8.06634i | 0.292983i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.47344 | 0.343638 | ||||||||
\(761\) | 11.3178 | − | 19.6029i | 0.410268 | − | 0.710606i | −0.584650 | − | 0.811285i | \(-0.698768\pi\) |
0.994919 | + | 0.100680i | \(0.0321017\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 21.6067i | 0.781702i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 62.1046 | + | 35.8561i | 2.24393 | + | 1.29553i | ||||
\(767\) | −10.6476 | + | 6.14741i | −0.384463 | + | 0.221970i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 42.6873 | − | 24.6455i | 1.53934 | − | 0.888741i | 0.540468 | − | 0.841365i | \(-0.318247\pi\) |
0.998877 | − | 0.0473762i | \(-0.0150860\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.1093 | 0.471815 | ||||||||
\(773\) | 11.0083 | − | 19.0670i | 0.395943 | − | 0.685793i | −0.597278 | − | 0.802034i | \(-0.703751\pi\) |
0.993221 | + | 0.116241i | \(0.0370845\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.26986 | + | 1.88785i | −0.117457 | + | 0.0678137i | ||||
\(776\) | −0.983745 | + | 1.70390i | −0.0353144 | + | 0.0611663i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.1232 | + | 24.4621i | 0.506340 | + | 0.877007i | ||||
\(779\) | −12.9708 | − | 7.48872i | −0.464729 | − | 0.268311i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.3255 | − | 19.6163i | −0.405258 | − | 0.701927i | ||||
\(782\) | −1.98557 | − | 3.43911i | −0.0710040 | − | 0.122982i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 32.3083 | + | 18.6532i | 1.15313 | + | 0.665761i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 10.8554i | − | 0.386954i | −0.981105 | − | 0.193477i | \(-0.938024\pi\) | ||
0.981105 | − | 0.193477i | \(-0.0619765\pi\) | |||||||
\(788\) | 6.90881i | 0.246116i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −53.6998 | − | 31.0036i | −1.91055 | − | 1.10306i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.43542 | − | 12.8785i | −0.264039 | − | 0.457330i | ||||
\(794\) | −30.9112 | − | 53.5397i | −1.09700 | − | 1.90005i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.6502 | + | 6.14887i | 0.377485 | + | 0.217941i | ||||
\(797\) | −1.98299 | − | 3.43465i | −0.0702412 | − | 0.121661i | 0.828766 | − | 0.559596i | \(-0.189044\pi\) |
−0.899007 | + | 0.437934i | \(0.855710\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.64078 | − | 11.5022i | 0.234934 | − | 0.406917i | ||||
\(800\) | −4.41653 | + | 2.54988i | −0.156148 | + | 0.0901520i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 30.4312 | − | 52.7084i | 1.07456 | − | 1.86120i | ||||
\(803\) | −11.0460 | −0.389803 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 33.6109 | − | 19.4053i | 1.18389 | − | 0.683521i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.49829 | − | 1.44239i | 0.0878896 | − | 0.0507431i | ||||
\(809\) | 36.0199 | + | 20.7961i | 1.26639 | + | 0.731152i | 0.974303 | − | 0.225240i | \(-0.0723166\pi\) |
0.292088 | + | 0.956391i | \(0.405650\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 13.3293i | − | 0.468056i | −0.972230 | − | 0.234028i | \(-0.924809\pi\) | ||
0.972230 | − | 0.234028i | \(-0.0751907\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.1241 | + | 33.1239i | −0.670299 | + | 1.16099i | ||||
\(815\) | 37.2729 | 1.30561 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 10.7865i | − | 0.377372i | ||||||
\(818\) | 63.4417 | 2.21819 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 13.5284 | 0.472432 | ||||||||
\(821\) | 38.6054i | 1.34734i | 0.739034 | + | 0.673668i | \(0.235282\pi\) | ||||
−0.739034 | + | 0.673668i | \(0.764718\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.6976 | −0.372896 | −0.186448 | − | 0.982465i | \(-0.559698\pi\) | ||||
−0.186448 | + | 0.982465i | \(0.559698\pi\) | |||||||
\(824\) | −6.42613 | + | 11.1304i | −0.223865 | + | 0.387745i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 11.7079i | 0.407125i | 0.979062 | + | 0.203562i | \(0.0652520\pi\) | ||||
−0.979062 | + | 0.203562i | \(0.934748\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.0948 | + | 8.71498i | 0.524263 | + | 0.302684i | 0.738677 | − | 0.674059i | \(-0.235451\pi\) |
−0.214414 | + | 0.976743i | \(0.568784\pi\) | |||||||
\(830\) | −11.7215 | + | 6.76740i | −0.406858 | + | 0.234900i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 28.9237 | − | 16.6991i | 1.00275 | − | 0.578937i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −25.7843 | −0.892302 | ||||||||
\(836\) | −21.3543 | + | 36.9867i | −0.738553 | + | 1.27921i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −66.3838 | + | 38.3267i | −2.29319 | + | 1.32397i | ||||
\(839\) | −0.704502 | + | 1.22023i | −0.0243221 | + | 0.0421271i | −0.877930 | − | 0.478789i | \(-0.841076\pi\) |
0.853608 | + | 0.520916i | \(0.174409\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.7055 | + | 32.3988i | 0.645016 | + | 1.11720i | ||||
\(842\) | −14.0097 | − | 8.08853i | −0.482808 | − | 0.278749i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −18.9663 | − | 32.8506i | −0.652848 | − | 1.13077i | ||||
\(845\) | −3.52191 | − | 6.10012i | −0.121157 | − | 0.209851i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −16.1761 | − | 9.33925i | −0.555488 | − | 0.320711i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 2.16421i | − | 0.0742319i | ||||||
\(851\) | 6.56205i | 0.224944i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.0716 | − | 16.2071i | −0.961153 | − | 0.554922i | −0.0646255 | − | 0.997910i | \(-0.520585\pi\) |
−0.896528 | + | 0.442987i | \(0.853919\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.671716 | − | 1.16345i | −0.0229588 | − | 0.0397658i | ||||
\(857\) | 22.2270 | + | 38.4982i | 0.759258 | + | 1.31507i | 0.943229 | + | 0.332142i | \(0.107771\pi\) |
−0.183971 | + | 0.982932i | \(0.558895\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.5528 | − | 7.82472i | −0.462416 | − | 0.266976i | 0.250644 | − | 0.968079i | \(-0.419358\pi\) |
−0.713060 | + | 0.701103i | \(0.752691\pi\) | |||||||
\(860\) | 4.87147 | + | 8.43763i | 0.166116 | + | 0.287721i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −24.2342 | + | 41.9748i | −0.825420 | + | 1.42967i | ||||
\(863\) | −15.6911 | + | 9.05927i | −0.534132 | + | 0.308381i | −0.742697 | − | 0.669627i | \(-0.766454\pi\) |
0.208565 | + | 0.978008i | \(0.433121\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.47462 | + | 16.4105i | −0.322147 | + | 0.557975i | ||||
\(866\) | −73.1878 | −2.48702 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 39.5927 | − | 22.8589i | 1.34309 | − | 0.775434i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.81120 | + | 1.04570i | −0.0613703 | + | 0.0354321i | ||||
\(872\) | 4.12545 | + | 2.38183i | 0.139705 | + | 0.0806589i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.4562i | 0.455164i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.38926 | − | 2.40628i | 0.0469121 | − | 0.0812542i | −0.841616 | − | 0.540077i | \(-0.818395\pi\) |
0.888528 | + | 0.458822i | \(0.151729\pi\) | |||||||
\(878\) | 81.5042 | 2.75063 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 20.6814i | 0.697170i | ||||||||
\(881\) | 1.96106 | 0.0660696 | 0.0330348 | − | 0.999454i | \(-0.489483\pi\) | ||||
0.0330348 | + | 0.999454i | \(0.489483\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −36.9657 | −1.24400 | −0.621998 | − | 0.783019i | \(-0.713679\pi\) | ||||
−0.621998 | + | 0.783019i | \(0.713679\pi\) | |||||||
\(884\) | 12.1135i | 0.407422i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −78.2219 | −2.62792 | ||||||||
\(887\) | −11.2584 | + | 19.5001i | −0.378020 | + | 0.654750i | −0.990774 | − | 0.135524i | \(-0.956728\pi\) |
0.612754 | + | 0.790274i | \(0.290062\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 21.5251i | 0.721525i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −32.3479 | − | 18.6761i | −1.08309 | − | 0.625321i | ||||
\(893\) | −38.9751 | + | 22.5023i | −1.30425 | + | 0.753011i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.1857 | − | 15.6957i | 0.908719 | − | 0.524649i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −50.1289 | −1.67282 | ||||||||
\(899\) | −24.3195 | + | 42.1225i | −0.811099 | + | 1.40487i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.61635 | − | 4.97465i | 0.287052 | − | 0.165730i | ||||
\(902\) | −9.15882 | + | 15.8635i | −0.304955 | + | 0.528198i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.62005 | − | 11.4663i | −0.220180 | − | 0.381362i | ||||
\(905\) | 4.23792 | + | 2.44676i | 0.140873 | + | 0.0813332i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.55982 | + | 16.5581i | 0.317428 | + | 0.549802i | 0.979951 | − | 0.199240i | \(-0.0638473\pi\) |
−0.662522 | + | 0.749042i | \(0.730514\pi\) | |||||||
\(908\) | −2.48775 | − | 4.30891i | −0.0825589 | − | 0.142996i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.92610 | − | 2.84408i | −0.163209 | − | 0.0942287i | 0.416171 | − | 0.909286i | \(-0.363372\pi\) |
−0.579380 | + | 0.815058i | \(0.696705\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 9.97917i | − | 0.330262i | ||||||
\(914\) | − | 20.9142i | − | 0.691781i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 13.3237 | + | 7.69242i | 0.440226 | + | 0.254165i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.9255 | − | 18.9235i | −0.360399 | − | 0.624230i | 0.627627 | − | 0.778514i | \(-0.284026\pi\) |
−0.988027 | + | 0.154284i | \(0.950693\pi\) | |||||||
\(920\) | −0.993890 | − | 1.72147i | −0.0327676 | − | 0.0567551i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 60.7134 | + | 35.0529i | 1.99949 | + | 1.15441i | ||||
\(923\) | 10.8848 | + | 18.8530i | 0.358278 | + | 0.620555i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.78811 | + | 3.09709i | −0.0587926 | + | 0.101832i | ||||
\(926\) | 41.8672 | − | 24.1720i | 1.37584 | − | 0.794343i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −32.8477 | + | 56.8940i | −1.07828 | + | 1.86764i | ||||
\(929\) | 16.1761 | 0.530721 | 0.265361 | − | 0.964149i | \(-0.414509\pi\) | ||||
0.265361 | + | 0.964149i | \(0.414509\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 32.3321 | − | 18.6669i | 1.05907 | − | 0.611456i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −73.0960 | + | 42.2020i | −2.39177 | + | 1.38089i | ||||
\(935\) | −9.54029 | − | 5.50809i | −0.312001 | − | 0.180134i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14.0440i | 0.458799i | 0.973332 | + | 0.229400i | \(0.0736762\pi\) | ||||
−0.973332 | + | 0.229400i | \(0.926324\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.3252 | − | 35.2043i | 0.662936 | − | 1.14824i | ||||
\(941\) | 43.1868 | 1.40785 | 0.703924 | − | 0.710275i | \(-0.251429\pi\) | ||||
0.703924 | + | 0.710275i | \(0.251429\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.14267i | 0.102339i | ||||||||
\(944\) | 12.1437 | 0.395244 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.1921 | −0.428911 | ||||||||
\(947\) | − | 19.1952i | − | 0.623759i | −0.950122 | − | 0.311879i | \(-0.899041\pi\) | ||
0.950122 | − | 0.311879i | \(-0.100959\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.6161 | 0.344615 | ||||||||
\(950\) | −3.66672 | + | 6.35095i | −0.118964 | + | 0.206052i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 5.62718i | − | 0.182282i | −0.995838 | − | 0.0911411i | \(-0.970949\pi\) | ||
0.995838 | − | 0.0911411i | \(-0.0290514\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.3547 | + | 9.44239i | 0.529225 | + | 0.305548i | ||||
\(956\) | −35.5732 | + | 20.5382i | −1.15052 | + | 0.664252i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.282197 | + | 0.162926i | −0.00911736 | + | 0.00526391i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.62282 | −0.149123 | ||||||||
\(962\) | 18.3799 | − | 31.8350i | 0.592593 | − | 1.02640i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 23.2300 | − | 13.4119i | 0.748189 | − | 0.431967i | ||||
\(965\) | 5.72894 | − | 9.92282i | 0.184421 | − | 0.319427i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.62091 | − | 13.1998i | −0.245072 | − | 0.424477i | 0.717080 | − | 0.696991i | \(-0.245478\pi\) |
−0.962152 | + | 0.272514i | \(0.912145\pi\) | |||||||
\(968\) | −0.408049 | − | 0.235587i | −0.0131152 | − | 0.00757206i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.25740 | + | 9.10608i | 0.168805 | + | 0.292379i | ||||
\(971\) | 20.4479 | + | 35.4168i | 0.656205 | + | 1.13658i | 0.981590 | + | 0.190998i | \(0.0611725\pi\) |
−0.325386 | + | 0.945581i | \(0.605494\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −29.9472 | − | 17.2900i | −0.959571 | − | 0.554009i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14.6881i | 0.470154i | ||||||||
\(977\) | 10.3726i | 0.331850i | 0.986138 | + | 0.165925i | \(0.0530609\pi\) | ||||
−0.986138 | + | 0.165925i | \(0.946939\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.7442 | − | 7.93522i | −0.439267 | − | 0.253611i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.79963 | + | 16.9735i | 0.312719 | + | 0.541645i | ||||
\(983\) | 1.05850 | + | 1.83338i | 0.0337609 | + | 0.0584756i | 0.882412 | − | 0.470477i | \(-0.155918\pi\) |
−0.848651 | + | 0.528953i | \(0.822585\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.22947 | + | 3.01924i | 0.166625 | + | 0.0962009i | ||||
\(986\) | −13.9398 | − | 24.1444i | −0.443932 | − | 0.768914i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.5234 | − | 35.5475i | 0.652935 | − | 1.13092i | ||||
\(989\) | −1.96007 | + | 1.13165i | −0.0623267 | + | 0.0359843i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.0581 | + | 29.5456i | −0.541870 | + | 0.938546i | 0.456927 | + | 0.889504i | \(0.348950\pi\) |
−0.998797 | + | 0.0490418i | \(0.984383\pi\) | |||||||
\(992\) | −48.1149 | −1.52765 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 9.30850 | − | 5.37427i | 0.295099 | − | 0.170376i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −39.6843 | + | 22.9118i | −1.25682 | + | 0.725623i | −0.972454 | − | 0.233094i | \(-0.925115\pi\) |
−0.284361 | + | 0.958717i | \(0.591782\pi\) | |||||||
\(998\) | 3.62264 | + | 2.09153i | 0.114673 | + | 0.0662064i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))