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: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 7x^{10} + 37x^{8} - 78x^{6} + 123x^{4} - 36x^{2} + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 521.1 | ||
Root | \(1.29589 + 0.748185i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.521 |
Dual form | 1323.2.i.c.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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.27639i | − | 1.60965i | −0.593512 | − | 0.804825i | \(-0.702259\pi\) | ||
0.593512 | − | 0.804825i | \(-0.297741\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.18194 | −1.59097 | ||||||||
\(5\) | −0.717144 | + | 1.24213i | −0.320716 | + | 0.555497i | −0.980636 | − | 0.195839i | \(-0.937257\pi\) |
0.659920 | + | 0.751336i | \(0.270590\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.69056i | 0.951257i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.82757 | + | 1.63250i | 0.894156 | + | 0.516241i | ||||
\(11\) | 2.80150 | − | 1.61745i | 0.844686 | − | 0.487679i | −0.0141686 | − | 0.999900i | \(-0.504510\pi\) |
0.858854 | + | 0.512220i | \(0.171177\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.43334 | + | 2.55959i | −1.22959 | + | 0.709903i | −0.966944 | − | 0.254990i | \(-0.917928\pi\) |
−0.262644 | + | 0.964893i | \(0.584594\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.239123 | −0.0597808 | ||||||||
\(17\) | −0.545658 | + | 0.945107i | −0.132341 | + | 0.229222i | −0.924579 | − | 0.380991i | \(-0.875583\pi\) |
0.792237 | + | 0.610213i | \(0.208916\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.88768 | + | 2.24456i | −0.891896 | + | 0.514936i | −0.874562 | − | 0.484914i | \(-0.838851\pi\) |
−0.0173336 | + | 0.999850i | \(0.505518\pi\) | |||||||
\(20\) | 2.28191 | − | 3.95238i | 0.510251 | − | 0.883780i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.68194 | − | 6.37731i | −0.784993 | − | 1.35965i | ||||
\(23\) | 3.47141 | + | 2.00422i | 0.723839 | + | 0.417909i | 0.816164 | − | 0.577820i | \(-0.196097\pi\) |
−0.0923250 | + | 0.995729i | \(0.529430\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.47141 | + | 2.54856i | 0.294282 | + | 0.509711i | ||||
\(26\) | 5.82662 | + | 10.0920i | 1.14269 | + | 1.97921i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.02859 | − | 0.593857i | −0.191004 | − | 0.110276i | 0.401448 | − | 0.915882i | \(-0.368507\pi\) |
−0.592453 | + | 0.805605i | \(0.701840\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.74440i | 0.672514i | 0.941770 | + | 0.336257i | \(0.109161\pi\) | ||||
−0.941770 | + | 0.336257i | \(0.890839\pi\) | |||||||
\(32\) | 5.92546i | 1.04748i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.15143 | + | 1.24213i | 0.368967 | + | 0.213023i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.119562 | + | 0.207087i | 0.0196558 | + | 0.0340449i | 0.875686 | − | 0.482881i | \(-0.160410\pi\) |
−0.856030 | + | 0.516926i | \(0.827076\pi\) | |||||||
\(38\) | 5.10948 | + | 8.84988i | 0.828867 | + | 1.43564i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.34203 | − | 1.92952i | −0.528421 | − | 0.305084i | ||||
\(41\) | 3.71620 | + | 6.43664i | 0.580373 | + | 1.00523i | 0.995435 | + | 0.0954418i | \(0.0304264\pi\) |
−0.415062 | + | 0.909793i | \(0.636240\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.82326 | + | 6.62208i | −0.583041 | + | 1.00986i | 0.412075 | + | 0.911150i | \(0.364804\pi\) |
−0.995116 | + | 0.0987075i | \(0.968529\pi\) | |||||||
\(44\) | −8.91423 | + | 5.14663i | −1.34387 | + | 0.775884i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.56238 | − | 7.90228i | 0.672686 | − | 1.16513i | ||||
\(47\) | 4.22085 | 0.615674 | 0.307837 | − | 0.951439i | \(-0.400395\pi\) | ||||
0.307837 | + | 0.951439i | \(0.400395\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.80150 | − | 3.34950i | 0.820457 | − | 0.473691i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 14.1066 | − | 8.14447i | 1.95624 | − | 1.12944i | ||||
\(53\) | −6.07442 | − | 3.50707i | −0.834386 | − | 0.481733i | 0.0209662 | − | 0.999780i | \(-0.493326\pi\) |
−0.855352 | + | 0.518047i | \(0.826659\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.63977i | 0.625627i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.35185 | + | 2.34147i | −0.177506 | + | 0.307450i | ||||
\(59\) | 9.47061 | 1.23297 | 0.616484 | − | 0.787367i | \(-0.288556\pi\) | ||||
0.616484 | + | 0.787367i | \(0.288556\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 3.26499i | − | 0.418040i | −0.977911 | − | 0.209020i | \(-0.932973\pi\) | ||
0.977911 | − | 0.209020i | \(-0.0670273\pi\) | |||||||
\(62\) | 8.52371 | 1.08251 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 13.0104 | 1.62630 | ||||||||
\(65\) | − | 7.34238i | − | 0.910710i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.660190 | 0.0806550 | 0.0403275 | − | 0.999187i | \(-0.487160\pi\) | ||||
0.0403275 | + | 0.999187i | \(0.487160\pi\) | |||||||
\(68\) | 1.73625 | − | 3.00728i | 0.210552 | − | 0.364686i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.82347i | 0.453762i | 0.973922 | + | 0.226881i | \(0.0728529\pi\) | ||||
−0.973922 | + | 0.226881i | \(0.927147\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.33127 | + | 3.65536i | 0.741020 | + | 0.427828i | 0.822440 | − | 0.568852i | \(-0.192612\pi\) |
−0.0814203 | + | 0.996680i | \(0.525946\pi\) | |||||||
\(74\) | 0.471410 | − | 0.272169i | 0.0548003 | − | 0.0316390i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.3704 | − | 7.14205i | 1.41898 | − | 0.819249i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.66019 | 0.411804 | 0.205902 | − | 0.978573i | \(-0.433987\pi\) | ||||
0.205902 | + | 0.978573i | \(0.433987\pi\) | |||||||
\(80\) | 0.171486 | − | 0.297022i | 0.0191727 | − | 0.0332081i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.6523 | − | 8.45951i | 1.61808 | − | 0.934196i | ||||
\(83\) | −5.45245 | + | 9.44392i | −0.598484 | + | 1.03660i | 0.394561 | + | 0.918870i | \(0.370897\pi\) |
−0.993045 | + | 0.117735i | \(0.962437\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.782630 | − | 1.35556i | −0.0848882 | − | 0.147031i | ||||
\(86\) | 15.0744 | + | 8.70322i | 1.62552 | + | 0.938492i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.35185 | + | 7.53762i | 0.463909 | + | 0.803513i | ||||
\(89\) | −6.84573 | − | 11.8572i | −0.725646 | − | 1.25686i | −0.958708 | − | 0.284394i | \(-0.908208\pi\) |
0.233061 | − | 0.972462i | \(-0.425126\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −11.0458 | − | 6.37731i | −1.15161 | − | 0.664881i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 9.60829i | − | 0.991020i | ||||||
\(95\) | − | 6.43867i | − | 0.660594i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.69709 | − | 1.55716i | −0.273848 | − | 0.158106i | 0.356787 | − | 0.934186i | \(-0.383872\pi\) |
−0.630635 | + | 0.776080i | \(0.717205\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.68194 | − | 8.10936i | −0.468194 | − | 0.810936i | ||||
\(101\) | 3.54471 | + | 6.13962i | 0.352712 | + | 0.610915i | 0.986724 | − | 0.162408i | \(-0.0519262\pi\) |
−0.634012 | + | 0.773324i | \(0.718593\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.47529 | + | 0.851761i | 0.145365 | + | 0.0839265i | 0.570918 | − | 0.821007i | \(-0.306587\pi\) |
−0.425553 | + | 0.904933i | \(0.639921\pi\) | |||||||
\(104\) | −6.88674 | − | 11.9282i | −0.675300 | − | 1.16965i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.98345 | + | 13.8277i | −0.775421 | + | 1.34307i | ||||
\(107\) | −4.27455 | + | 2.46791i | −0.413236 | + | 0.238582i | −0.692179 | − | 0.721726i | \(-0.743349\pi\) |
0.278943 | + | 0.960308i | \(0.410016\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.06922 | + | 7.04809i | −0.389760 | + | 0.675085i | −0.992417 | − | 0.122916i | \(-0.960776\pi\) |
0.602657 | + | 0.798001i | \(0.294109\pi\) | |||||||
\(110\) | 10.5619 | 1.00704 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.39699 | − | 1.96125i | 0.319562 | − | 0.184499i | −0.331635 | − | 0.943408i | \(-0.607600\pi\) |
0.651197 | + | 0.758908i | \(0.274267\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.97900 | + | 2.87463i | −0.464294 | + | 0.268060i | ||||
\(116\) | 3.27292 | + | 1.88962i | 0.303883 | + | 0.175447i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 21.5588i | − | 1.98465i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.267713 | + | 0.463693i | −0.0243376 | + | 0.0421539i | ||||
\(122\) | −7.43240 | −0.672897 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 11.9145i | − | 1.06995i | ||||||
\(125\) | −11.3923 | −1.01896 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.16827 | 0.547345 | 0.273673 | − | 0.961823i | \(-0.411761\pi\) | ||||
0.273673 | + | 0.961823i | \(0.411761\pi\) | |||||||
\(128\) | − | 17.7658i | − | 1.57029i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −16.7141 | −1.46592 | ||||||||
\(131\) | 4.13138 | − | 7.15575i | 0.360960 | − | 0.625201i | −0.627159 | − | 0.778891i | \(-0.715782\pi\) |
0.988119 | + | 0.153690i | \(0.0491158\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 1.50285i | − | 0.129826i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.54287 | − | 1.46813i | −0.218049 | − | 0.125891i | ||||
\(137\) | −8.96169 | + | 5.17404i | −0.765649 | + | 0.442048i | −0.831320 | − | 0.555794i | \(-0.812415\pi\) |
0.0656711 | + | 0.997841i | \(0.479081\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.4589 | + | 8.92521i | −1.31121 | + | 0.757026i | −0.982296 | − | 0.187334i | \(-0.940015\pi\) |
−0.328912 | + | 0.944361i | \(0.606682\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.70370 | 0.730398 | ||||||||
\(143\) | −8.28002 | + | 14.3414i | −0.692410 | + | 1.19929i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.47529 | − | 0.851761i | 0.122516 | − | 0.0707349i | ||||
\(146\) | 8.32102 | − | 14.4124i | 0.688653 | − | 1.19278i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.380438 | − | 0.658939i | −0.0312718 | − | 0.0541644i | ||||
\(149\) | −15.1758 | − | 8.76175i | −1.24325 | − | 0.717790i | −0.273495 | − | 0.961873i | \(-0.588180\pi\) |
−0.969754 | + | 0.244083i | \(0.921513\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.550343 | − | 0.953223i | −0.0447863 | − | 0.0775722i | 0.842763 | − | 0.538284i | \(-0.180927\pi\) |
−0.887550 | + | 0.460712i | \(0.847594\pi\) | |||||||
\(152\) | −6.03911 | − | 10.4601i | −0.489837 | − | 0.848422i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.65103 | − | 2.68527i | −0.373580 | − | 0.215686i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.75896i | 0.778850i | 0.921058 | + | 0.389425i | \(0.127326\pi\) | ||||
−0.921058 | + | 0.389425i | \(0.872674\pi\) | |||||||
\(158\) | − | 8.33201i | − | 0.662859i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.36019 | − | 4.24941i | −0.581874 | − | 0.335945i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.61273 | + | 6.25742i | 0.282970 | + | 0.490119i | 0.972115 | − | 0.234505i | \(-0.0753468\pi\) |
−0.689145 | + | 0.724624i | \(0.742013\pi\) | |||||||
\(164\) | −11.8247 | − | 20.4810i | −0.923356 | − | 1.59930i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 21.4980 | + | 12.4119i | 1.66857 | + | 0.963350i | ||||
\(167\) | −8.65419 | − | 14.9895i | −0.669681 | − | 1.15992i | −0.977993 | − | 0.208637i | \(-0.933097\pi\) |
0.308312 | − | 0.951285i | \(-0.400236\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.60301 | − | 11.4367i | 0.507924 | − | 0.879750i | ||||
\(170\) | −3.08577 | + | 1.78157i | −0.236668 | + | 0.136640i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 12.1654 | − | 21.0711i | 0.927602 | − | 1.60665i | ||||
\(173\) | −1.95621 | −0.148728 | −0.0743638 | − | 0.997231i | \(-0.523693\pi\) | ||||
−0.0743638 | + | 0.997231i | \(0.523693\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.669905 | + | 0.386770i | −0.0504960 | + | 0.0291539i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −26.9915 | + | 15.5835i | −2.02310 | + | 1.16804i | ||||
\(179\) | 20.0933 | + | 11.6009i | 1.50184 | + | 0.867090i | 0.999998 | + | 0.00213247i | \(0.000678788\pi\) |
0.501846 | + | 0.864957i | \(0.332655\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.2744i | 0.763689i | 0.924226 | + | 0.381845i | \(0.124711\pi\) | ||||
−0.924226 | + | 0.381845i | \(0.875289\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.39248 | + | 9.34004i | −0.397539 | + | 0.688557i | ||||
\(185\) | −0.342971 | −0.0252158 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.53030i | 0.258161i | ||||||||
\(188\) | −13.4305 | −0.979520 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.6569 | −1.06332 | ||||||||
\(191\) | 22.7197i | 1.64394i | 0.569533 | + | 0.821968i | \(0.307124\pi\) | ||||
−0.569533 | + | 0.821968i | \(0.692876\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.8720 | 1.21447 | 0.607235 | − | 0.794522i | \(-0.292278\pi\) | ||||
0.607235 | + | 0.794522i | \(0.292278\pi\) | |||||||
\(194\) | −3.54471 | + | 6.13962i | −0.254495 | + | 0.440799i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.94426i | 0.637252i | 0.947880 | + | 0.318626i | \(0.103221\pi\) | ||||
−0.947880 | + | 0.318626i | \(0.896779\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.01020 | − | 2.89264i | −0.355164 | − | 0.205054i | 0.311794 | − | 0.950150i | \(-0.399070\pi\) |
−0.666957 | + | 0.745096i | \(0.732404\pi\) | |||||||
\(200\) | −6.85705 | + | 3.95892i | −0.484867 | + | 0.279938i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.9762 | − | 8.06914i | 0.983359 | − | 0.567743i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.6602 | −0.744540 | ||||||||
\(206\) | 1.93894 | − | 3.35834i | 0.135092 | − | 0.233987i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.06012 | − | 0.612058i | 0.0735058 | − | 0.0424386i | ||||
\(209\) | −7.26091 | + | 12.5763i | −0.502248 | + | 0.869918i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.9451 | − | 22.4216i | −0.891180 | − | 1.54357i | −0.838462 | − | 0.544960i | \(-0.816545\pi\) |
−0.0527186 | − | 0.998609i | \(-0.516789\pi\) | |||||||
\(212\) | 19.3285 | + | 11.1593i | 1.32748 | + | 0.766423i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.61793 | + | 9.73053i | 0.384034 | + | 0.665166i | ||||
\(215\) | −5.48365 | − | 9.49796i | −0.373982 | − | 0.647756i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 16.0442 | + | 9.26312i | 1.08665 | + | 0.627378i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 14.7635i | − | 0.995355i | ||||||
\(221\) | − | 5.58664i | − | 0.375798i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.4827 | − | 8.93892i | −1.03680 | − | 0.598594i | −0.117871 | − | 0.993029i | \(-0.537607\pi\) |
−0.918924 | + | 0.394435i | \(0.870940\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.46457 | − | 7.73287i | −0.296979 | − | 0.514383i | ||||
\(227\) | −5.48365 | − | 9.49796i | −0.363963 | − | 0.630402i | 0.624646 | − | 0.780908i | \(-0.285243\pi\) |
−0.988609 | + | 0.150506i | \(0.951910\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.8349 | − | 9.71965i | −1.11248 | − | 0.642293i | −0.173012 | − | 0.984920i | \(-0.555350\pi\) |
−0.939471 | + | 0.342627i | \(0.888683\pi\) | |||||||
\(230\) | 6.54377 | + | 11.3341i | 0.431483 | + | 0.747351i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.59781 | − | 2.76748i | 0.104901 | − | 0.181694i | ||||
\(233\) | −2.54639 | + | 1.47016i | −0.166819 | + | 0.0963131i | −0.581085 | − | 0.813843i | \(-0.697372\pi\) |
0.414266 | + | 0.910156i | \(0.364038\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.02696 | + | 5.24284i | −0.197457 | + | 0.342005i | ||||
\(236\) | −30.1350 | −1.96162 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.7255 | − | 6.19234i | 0.693772 | − | 0.400549i | −0.111252 | − | 0.993792i | \(-0.535486\pi\) |
0.805023 | + | 0.593243i | \(0.202153\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.6943 | − | 6.75168i | 0.753293 | − | 0.434914i | −0.0735896 | − | 0.997289i | \(-0.523445\pi\) |
0.826882 | + | 0.562375i | \(0.190112\pi\) | |||||||
\(242\) | 1.05555 | + | 0.609419i | 0.0678530 | + | 0.0391750i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 10.3890i | 0.665089i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.4903 | − | 19.9018i | 0.731109 | − | 1.26632i | ||||
\(248\) | −10.0745 | −0.639734 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 25.9333i | 1.64016i | ||||||||
\(251\) | 7.51441 | 0.474305 | 0.237153 | − | 0.971472i | \(-0.423786\pi\) | ||||
0.237153 | + | 0.971472i | \(0.423786\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.9669 | 0.815222 | ||||||||
\(254\) | − | 14.0414i | − | 0.881034i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.4211 | −0.901317 | ||||||||
\(257\) | 3.87788 | − | 6.71668i | 0.241895 | − | 0.418975i | −0.719359 | − | 0.694639i | \(-0.755564\pi\) |
0.961254 | + | 0.275664i | \(0.0888976\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 23.3630i | 1.44891i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.2893 | − | 9.40462i | −1.00635 | − | 0.581019i | ||||
\(263\) | −12.1127 | + | 6.99329i | −0.746903 | + | 0.431224i | −0.824574 | − | 0.565755i | \(-0.808585\pi\) |
0.0776710 | + | 0.996979i | \(0.475252\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.71246 | − | 5.03014i | 0.535202 | − | 0.308999i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.10069 | −0.128320 | ||||||||
\(269\) | 12.9160 | − | 22.3712i | 0.787505 | − | 1.36400i | −0.139986 | − | 0.990154i | \(-0.544706\pi\) |
0.927491 | − | 0.373846i | \(-0.121961\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.4225 | + | 8.32686i | −0.876107 | + | 0.505821i | −0.869373 | − | 0.494157i | \(-0.835477\pi\) |
−0.00673411 | + | 0.999977i | \(0.502144\pi\) | |||||||
\(272\) | 0.130480 | − | 0.225997i | 0.00791148 | − | 0.0137031i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.7781 | + | 20.4003i | 0.711542 | + | 1.23243i | ||||
\(275\) | 8.24433 | + | 4.75986i | 0.497152 | + | 0.287031i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.7044 | − | 27.2008i | −0.943585 | − | 1.63434i | −0.758560 | − | 0.651603i | \(-0.774097\pi\) |
−0.185025 | − | 0.982734i | \(-0.559237\pi\) | |||||||
\(278\) | 20.3172 | + | 35.1905i | 1.21855 | + | 2.11059i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.10464 | − | 4.67922i | −0.483483 | − | 0.279139i | 0.238384 | − | 0.971171i | \(-0.423382\pi\) |
−0.721867 | + | 0.692032i | \(0.756716\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.7735i | 0.937638i | 0.883294 | + | 0.468819i | \(0.155320\pi\) | ||||
−0.883294 | + | 0.468819i | \(0.844680\pi\) | |||||||
\(284\) | − | 12.1661i | − | 0.721923i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 32.6466 | + | 18.8485i | 1.93044 | + | 1.11454i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.90451 | + | 13.6910i | 0.464971 | + | 0.805354i | ||||
\(290\) | −1.93894 | − | 3.35834i | −0.113858 | − | 0.197209i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −20.1458 | − | 11.6312i | −1.17894 | − | 0.680662i | ||||
\(293\) | 12.4287 | + | 21.5271i | 0.726090 | + | 1.25762i | 0.958524 | + | 0.285013i | \(0.0919978\pi\) |
−0.232434 | + | 0.972612i | \(0.574669\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.79179 | + | 11.7637i | −0.395433 | + | 0.684911i | ||||
\(296\) | −0.557180 | + | 0.321688i | −0.0323854 | + | 0.0186977i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −19.9451 | + | 34.5460i | −1.15539 | + | 2.00120i | ||||
\(299\) | −20.5199 | −1.18670 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.16991 | + | 1.25280i | −0.124864 | + | 0.0720903i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.929636 | − | 0.536725i | 0.0533183 | − | 0.0307833i | ||||
\(305\) | 4.05555 | + | 2.34147i | 0.232220 | + | 0.134072i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.8878i | 1.07799i | 0.842310 | + | 0.538993i | \(0.181195\pi\) | ||||
−0.842310 | + | 0.538993i | \(0.818805\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.11273 | + | 10.5876i | −0.347179 | + | 0.601332i | ||||
\(311\) | −7.95431 | −0.451048 | −0.225524 | − | 0.974238i | \(-0.572409\pi\) | ||||
−0.225524 | + | 0.974238i | \(0.572409\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.1337i | 0.629316i | 0.949205 | + | 0.314658i | \(0.101890\pi\) | ||||
−0.949205 | + | 0.314658i | \(0.898110\pi\) | |||||||
\(314\) | 22.2152 | 1.25367 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6465 | −0.655168 | ||||||||
\(317\) | − | 23.2534i | − | 1.30604i | −0.757340 | − | 0.653021i | \(-0.773501\pi\) | ||
0.757340 | − | 0.653021i | \(-0.226499\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.84213 | −0.215118 | ||||||||
\(320\) | −9.33033 | + | 16.1606i | −0.521581 | + | 0.903405i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 4.89904i | − | 0.272590i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.0465 | − | 7.53242i | −0.723691 | − | 0.417823i | ||||
\(326\) | 14.2443 | − | 8.22396i | 0.788920 | − | 0.455483i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.3182 | + | 9.99866i | −0.956237 | + | 0.552084i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.1592 | −1.05309 | −0.526544 | − | 0.850148i | \(-0.676512\pi\) | ||||
−0.526544 | + | 0.850148i | \(0.676512\pi\) | |||||||
\(332\) | 17.3494 | − | 30.0500i | 0.952171 | − | 1.64921i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −34.1219 | + | 19.7003i | −1.86707 | + | 1.07795i | ||||
\(335\) | −0.473451 | + | 0.820041i | −0.0258674 | + | 0.0448036i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.2781 | + | 24.7304i | 0.777779 | + | 1.34715i | 0.933219 | + | 0.359307i | \(0.116987\pi\) |
−0.155441 | + | 0.987845i | \(0.549680\pi\) | |||||||
\(338\) | −26.0345 | − | 15.0310i | −1.41609 | − | 0.817579i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.49028 | + | 4.31330i | 0.135055 | + | 0.233922i | ||||
\(341\) | 6.05638 | + | 10.4900i | 0.327971 | + | 0.568063i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −17.8171 | − | 10.2867i | −0.960634 | − | 0.554622i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.45308i | 0.239399i | ||||||||
\(347\) | − | 2.96400i | − | 0.159116i | −0.996830 | − | 0.0795578i | \(-0.974649\pi\) | ||
0.996830 | − | 0.0795578i | \(-0.0253508\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.3885 | + | 13.5034i | 1.25196 | + | 0.722818i | 0.971498 | − | 0.237048i | \(-0.0761797\pi\) |
0.280460 | + | 0.959866i | \(0.409513\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.58414 | + | 16.6002i | 0.510836 | + | 0.884794i | ||||
\(353\) | 14.8238 | + | 25.6755i | 0.788990 | + | 1.36657i | 0.926586 | + | 0.376083i | \(0.122729\pi\) |
−0.137596 | + | 0.990488i | \(0.543937\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.74924 | − | 2.74198i | −0.252064 | − | 0.145529i | ||||
\(356\) | 21.7827 | + | 37.7288i | 1.15448 | + | 1.99962i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 26.4081 | − | 45.7401i | 1.39571 | − | 2.41744i | ||||
\(359\) | 21.3268 | − | 12.3130i | 1.12559 | − | 0.649858i | 0.182766 | − | 0.983157i | \(-0.441495\pi\) |
0.942821 | + | 0.333299i | \(0.108162\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.576055 | − | 0.997756i | 0.0303187 | − | 0.0525135i | ||||
\(362\) | 23.3885 | 1.22927 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.08087 | + | 5.24284i | −0.475314 | + | 0.274423i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.85598 | + | 2.80360i | −0.253480 | + | 0.146347i | −0.621357 | − | 0.783528i | \(-0.713418\pi\) |
0.367877 | + | 0.929875i | \(0.380085\pi\) | |||||||
\(368\) | −0.830095 | − | 0.479256i | −0.0432717 | − | 0.0249829i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.780736i | 0.0405885i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.86677 | − | 3.23333i | 0.0966574 | − | 0.167416i | −0.813642 | − | 0.581367i | \(-0.802518\pi\) |
0.910299 | + | 0.413951i | \(0.135852\pi\) | |||||||
\(374\) | 8.03633 | 0.415549 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.3565i | 0.585665i | ||||||||
\(377\) | 6.08012 | 0.313142 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.4419 | −1.56369 | −0.781847 | − | 0.623470i | \(-0.785722\pi\) | ||||
−0.781847 | + | 0.623470i | \(0.785722\pi\) | |||||||
\(380\) | 20.4875i | 1.05099i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 51.7187 | 2.64616 | ||||||||
\(383\) | −8.49251 | + | 14.7095i | −0.433947 | + | 0.751618i | −0.997209 | − | 0.0746601i | \(-0.976213\pi\) |
0.563262 | + | 0.826278i | \(0.309546\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 38.4071i | − | 1.95487i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.58198 | + | 4.95481i | 0.435684 | + | 0.251542i | ||||
\(389\) | 9.43310 | − | 5.44621i | 0.478277 | − | 0.276134i | −0.241421 | − | 0.970420i | \(-0.577613\pi\) |
0.719698 | + | 0.694287i | \(0.244280\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.78840 | + | 2.18724i | −0.191588 | + | 0.110613i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 20.3606 | 1.02575 | ||||||||
\(395\) | −2.62488 | + | 4.54643i | −0.132072 | + | 0.228756i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.3154 | + | 11.1518i | −0.969412 | + | 0.559690i | −0.899057 | − | 0.437832i | \(-0.855747\pi\) |
−0.0703551 | + | 0.997522i | \(0.522413\pi\) | |||||||
\(398\) | −6.58477 | + | 11.4052i | −0.330065 | + | 0.571689i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.351848 | − | 0.609419i | −0.0175924 | − | 0.0304710i | ||||
\(401\) | 20.8554 | + | 12.0409i | 1.04147 | + | 0.601293i | 0.920249 | − | 0.391333i | \(-0.127986\pi\) |
0.121221 | + | 0.992626i | \(0.461319\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.58414 | − | 16.6002i | −0.477420 | − | 0.826915i | ||||
\(404\) | −11.2791 | − | 19.5359i | −0.561155 | − | 0.971949i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.669905 | + | 0.386770i | 0.0332060 | + | 0.0191715i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 26.3492i | − | 1.30289i | −0.758698 | − | 0.651443i | \(-0.774164\pi\) | ||
0.758698 | − | 0.651443i | \(-0.225836\pi\) | |||||||
\(410\) | 24.2667i | 1.19845i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.69430 | − | 2.71026i | −0.231272 | − | 0.133525i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.82038 | − | 13.5453i | −0.383887 | − | 0.664912i | ||||
\(416\) | −15.1668 | − | 26.2696i | −0.743611 | − | 1.28797i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 28.6285 | + | 16.5286i | 1.40026 | + | 0.808443i | ||||
\(419\) | −16.1761 | − | 28.0178i | −0.790252 | − | 1.36876i | −0.925811 | − | 0.377988i | \(-0.876616\pi\) |
0.135558 | − | 0.990769i | \(-0.456717\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.54746 | + | 9.60849i | −0.270367 | + | 0.468289i | −0.968956 | − | 0.247234i | \(-0.920478\pi\) |
0.698589 | + | 0.715523i | \(0.253812\pi\) | |||||||
\(422\) | −51.0404 | + | 29.4682i | −2.48461 | + | 1.43449i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.43598 | − | 16.3436i | 0.458252 | − | 0.793716i | ||||
\(425\) | −3.21155 | −0.155783 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 13.6014 | − | 7.85276i | 0.657447 | − | 0.379577i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −21.6210 | + | 12.4829i | −1.04266 | + | 0.601980i | ||||
\(431\) | −14.1202 | − | 8.15233i | −0.680149 | − | 0.392684i | 0.119762 | − | 0.992803i | \(-0.461787\pi\) |
−0.799911 | + | 0.600119i | \(0.795120\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 12.5359i | − | 0.602438i | −0.953555 | − | 0.301219i | \(-0.902606\pi\) | ||
0.953555 | − | 0.301219i | \(-0.0973936\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.9480 | − | 22.4266i | 0.620098 | − | 1.07404i | ||||
\(437\) | −17.9943 | −0.860785 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 18.6225i | − | 0.888805i | −0.895827 | − | 0.444403i | \(-0.853416\pi\) | ||
0.895827 | − | 0.444403i | \(-0.146584\pi\) | |||||||
\(440\) | −12.4836 | −0.595132 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −12.7174 | −0.604904 | ||||||||
\(443\) | 4.75085i | 0.225720i | 0.993611 | + | 0.112860i | \(0.0360011\pi\) | ||||
−0.993611 | + | 0.112860i | \(0.963999\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 19.6375 | 0.930906 | ||||||||
\(446\) | −20.3484 | + | 35.2445i | −0.963527 | + | 1.66888i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.2393i | 0.766379i | 0.923670 | + | 0.383189i | \(0.125174\pi\) | ||||
−0.923670 | + | 0.383189i | \(0.874826\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.8219 | + | 12.0215i | 0.980465 | + | 0.566072i | ||||
\(452\) | −10.8090 | + | 6.24060i | −0.508414 | + | 0.293533i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −21.6210 | + | 12.4829i | −1.01473 | + | 0.585852i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.74720 | −0.268843 | −0.134421 | − | 0.990924i | \(-0.542918\pi\) | ||||
−0.134421 | + | 0.990924i | \(0.542918\pi\) | |||||||
\(458\) | −22.1257 | + | 38.3228i | −1.03387 | + | 1.79071i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 15.8429 | − | 9.14690i | 0.738679 | − | 0.426476i | ||||
\(461\) | 18.1346 | − | 31.4101i | 0.844613 | − | 1.46291i | −0.0413440 | − | 0.999145i | \(-0.513164\pi\) |
0.885957 | − | 0.463768i | \(-0.153503\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.6202 | + | 25.3230i | 0.679461 | + | 1.17686i | 0.975144 | + | 0.221574i | \(0.0711195\pi\) |
−0.295683 | + | 0.955286i | \(0.595547\pi\) | |||||||
\(464\) | 0.245960 | + | 0.142005i | 0.0114184 | + | 0.00659241i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.34665 | + | 5.79656i | 0.155030 | + | 0.268521i | ||||
\(467\) | −1.32107 | − | 2.28817i | −0.0611320 | − | 0.105884i | 0.833840 | − | 0.552007i | \(-0.186138\pi\) |
−0.894972 | + | 0.446123i | \(0.852804\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 11.9347 | + | 6.89053i | 0.550508 | + | 0.317836i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 25.4813i | 1.17287i | ||||||||
\(473\) | 24.7357i | 1.13735i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.4408 | − | 6.60532i | −0.524938 | − | 0.303073i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −14.0962 | − | 24.4153i | −0.644744 | − | 1.11673i | ||||
\(479\) | −15.5409 | − | 26.9177i | −0.710083 | − | 1.22990i | −0.964826 | − | 0.262891i | \(-0.915324\pi\) |
0.254742 | − | 0.967009i | \(-0.418009\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.06012 | − | 0.612058i | −0.0483371 | − | 0.0279074i | ||||
\(482\) | −15.3694 | − | 26.6207i | −0.700059 | − | 1.21254i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.851848 | − | 1.47544i | 0.0387204 | − | 0.0670657i | ||||
\(485\) | 3.86840 | − | 2.23342i | 0.175655 | − | 0.101414i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.4360 | + | 30.2000i | −0.790100 | + | 1.36849i | 0.135805 | + | 0.990736i | \(0.456638\pi\) |
−0.925905 | + | 0.377757i | \(0.876695\pi\) | |||||||
\(488\) | 8.78467 | 0.397663 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.6758 | − | 13.0919i | 1.02334 | − | 0.590828i | 0.108273 | − | 0.994121i | \(-0.465468\pi\) |
0.915071 | + | 0.403293i | \(0.132134\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.12252 | − | 0.648085i | 0.0505556 | − | 0.0291883i | ||||
\(494\) | −45.3041 | − | 26.1563i | −2.03833 | − | 1.17683i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 0.895374i | − | 0.0402035i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.23912 | + | 10.8065i | −0.279302 | + | 0.483764i | −0.971211 | − | 0.238220i | \(-0.923436\pi\) |
0.691910 | + | 0.721984i | \(0.256770\pi\) | |||||||
\(500\) | 36.2496 | 1.62113 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 17.1057i | − | 0.763465i | ||||||
\(503\) | −37.8479 | −1.68756 | −0.843778 | − | 0.536693i | \(-0.819673\pi\) | ||||
−0.843778 | + | 0.536693i | \(0.819673\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1683 | −0.452482 | ||||||||
\(506\) | − | 29.5177i | − | 1.31222i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −19.6271 | −0.870811 | ||||||||
\(509\) | 17.6924 | − | 30.6441i | 0.784200 | − | 1.35827i | −0.145276 | − | 0.989391i | \(-0.546407\pi\) |
0.929476 | − | 0.368883i | \(-0.120260\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 2.70367i | − | 0.119486i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.2898 | − | 8.82756i | −0.674403 | − | 0.389367i | ||||
\(515\) | −2.11599 | + | 1.22167i | −0.0932419 | + | 0.0538332i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.8247 | − | 6.82701i | 0.520051 | − | 0.300252i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 19.7551 | 0.866319 | ||||||||
\(521\) | 1.15939 | − | 2.00813i | 0.0507940 | − | 0.0879777i | −0.839511 | − | 0.543343i | \(-0.817158\pi\) |
0.890304 | + | 0.455366i | \(0.150491\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.4799 | − | 10.0920i | 0.764341 | − | 0.441293i | −0.0665110 | − | 0.997786i | \(-0.521187\pi\) |
0.830852 | + | 0.556493i | \(0.187853\pi\) | |||||||
\(524\) | −13.1458 | + | 22.7692i | −0.574277 | + | 0.994677i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.9194 | + | 27.5733i | 0.694120 | + | 1.20225i | ||||
\(527\) | −3.53886 | − | 2.04316i | −0.154155 | − | 0.0890015i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.46621 | − | 6.00365i | −0.150705 | − | 0.261028i | ||||
\(530\) | −11.4506 | − | 19.8329i | −0.497380 | − | 0.861488i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −32.9503 | − | 19.0239i | −1.42724 | − | 0.824016i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 7.07939i | − | 0.306069i | ||||||
\(536\) | 1.77628i | 0.0767237i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −50.9256 | − | 29.4019i | −2.19556 | − | 1.26761i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.3856 | + | 19.7205i | 0.489507 | + | 0.847851i | 0.999927 | − | 0.0120743i | \(-0.00384346\pi\) |
−0.510420 | + | 0.859925i | \(0.670510\pi\) | |||||||
\(542\) | 18.9552 | + | 32.8313i | 0.814194 | + | 1.41023i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.60020 | − | 3.23327i | −0.240106 | − | 0.138626i | ||||
\(545\) | −5.83643 | − | 10.1090i | −0.250005 | − | 0.433022i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.7918 | − | 25.6201i | 0.632451 | − | 1.09544i | −0.354598 | − | 0.935019i | \(-0.615382\pi\) |
0.987049 | − | 0.160419i | \(-0.0512845\pi\) | |||||||
\(548\) | 28.5156 | − | 16.4635i | 1.21813 | − | 0.703286i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.8353 | − | 18.7673i | 0.462019 | − | 0.800240i | ||||
\(551\) | 5.33178 | 0.227141 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −61.9196 | + | 35.7493i | −2.63071 | + | 1.51884i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 49.1894 | − | 28.3995i | 2.08609 | − | 1.20441i | ||||
\(557\) | 4.08250 | + | 2.35703i | 0.172981 | + | 0.0998707i | 0.583991 | − | 0.811760i | \(-0.301490\pi\) |
−0.411010 | + | 0.911631i | \(0.634824\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 39.1439i | − | 1.65561i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.6517 | + | 18.4493i | −0.449316 | + | 0.778238i | ||||
\(563\) | −27.3484 | −1.15260 | −0.576299 | − | 0.817239i | \(-0.695503\pi\) | ||||
−0.576299 | + | 0.817239i | \(0.695503\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.62600i | 0.236688i | ||||||||
\(566\) | 35.9066 | 1.50927 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.2873 | −0.431645 | ||||||||
\(569\) | 23.5580i | 0.987601i | 0.869575 | + | 0.493801i | \(0.164393\pi\) | ||||
−0.869575 | + | 0.493801i | \(0.835607\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.1877 | 0.802980 | 0.401490 | − | 0.915863i | \(-0.368492\pi\) | ||||
0.401490 | + | 0.915863i | \(0.368492\pi\) | |||||||
\(572\) | 26.3465 | − | 45.6336i | 1.10160 | − | 1.90804i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.7961i | 0.491932i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.93481 | − | 1.11706i | −0.0805472 | − | 0.0465039i | 0.459185 | − | 0.888340i | \(-0.348141\pi\) |
−0.539733 | + | 0.841836i | \(0.681475\pi\) | |||||||
\(578\) | 31.1661 | − | 17.9937i | 1.29634 | − | 0.748441i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.69430 | + | 2.71026i | −0.194920 | + | 0.112537i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.6900 | −0.939725 | ||||||||
\(584\) | −9.83498 | + | 17.0347i | −0.406974 | + | 0.704900i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 49.0040 | − | 28.2925i | 2.02434 | − | 1.16875i | ||||
\(587\) | 12.9883 | − | 22.4963i | 0.536083 | − | 0.928522i | −0.463028 | − | 0.886344i | \(-0.653237\pi\) |
0.999110 | − | 0.0421784i | \(-0.0134298\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.40451 | − | 14.5570i | −0.346302 | − | 0.599813i | ||||
\(590\) | 26.7788 | + | 15.4608i | 1.10247 | + | 0.636509i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0285900 | − | 0.0495193i | −0.00117504 | − | 0.00203523i | ||||
\(593\) | 2.85877 | + | 4.95153i | 0.117396 | + | 0.203335i | 0.918735 | − | 0.394875i | \(-0.129212\pi\) |
−0.801339 | + | 0.598210i | \(0.795879\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 48.2885 | + | 27.8794i | 1.97797 | + | 1.14198i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 46.7113i | 1.91017i | ||||||||
\(599\) | − | 25.2489i | − | 1.03164i | −0.856696 | − | 0.515822i | \(-0.827487\pi\) | ||
0.856696 | − | 0.515822i | \(-0.172513\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 40.2546 | + | 23.2410i | 1.64202 | + | 0.948021i | 0.980114 | + | 0.198435i | \(0.0635858\pi\) |
0.661907 | + | 0.749586i | \(0.269748\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.75116 | + | 3.03310i | 0.0712538 | + | 0.123415i | ||||
\(605\) | −0.383978 | − | 0.665069i | −0.0156109 | − | 0.0270389i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.09405 | + | 3.51840i | 0.247350 | + | 0.142808i | 0.618550 | − | 0.785745i | \(-0.287720\pi\) |
−0.371200 | + | 0.928553i | \(0.621054\pi\) | |||||||
\(608\) | −13.3000 | − | 23.0363i | −0.539387 | − | 0.934246i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.33009 | − | 9.23200i | 0.215809 | − | 0.373793i | ||||
\(611\) | −18.7125 | + | 10.8036i | −0.757025 | + | 0.437069i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.27128 | + | 5.66602i | −0.132126 | + | 0.228849i | −0.924496 | − | 0.381192i | \(-0.875514\pi\) |
0.792370 | + | 0.610041i | \(0.208847\pi\) | |||||||
\(614\) | 42.9961 | 1.73518 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.0043 | − | 17.3230i | 1.20793 | − | 0.697396i | 0.245620 | − | 0.969366i | \(-0.421008\pi\) |
0.962306 | + | 0.271970i | \(0.0876751\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.7072 | + | 8.49123i | −0.591134 | + | 0.341291i | −0.765546 | − | 0.643381i | \(-0.777531\pi\) |
0.174412 | + | 0.984673i | \(0.444198\pi\) | |||||||
\(620\) | 14.7993 | + | 8.54439i | 0.594355 | + | 0.343151i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.1071i | 0.726029i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.812855 | − | 1.40791i | 0.0325142 | − | 0.0563162i | ||||
\(626\) | 25.3447 | 1.01298 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 31.0524i | − | 1.23913i | ||||||
\(629\) | −0.260959 | −0.0104051 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.2438 | 1.04475 | 0.522374 | − | 0.852716i | \(-0.325047\pi\) | ||||
0.522374 | + | 0.852716i | \(0.325047\pi\) | |||||||
\(632\) | 9.84797i | 0.391731i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −52.9338 | −2.10227 | ||||||||
\(635\) | −4.42354 | + | 7.66179i | −0.175543 | + | 0.304049i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8.74619i | 0.346265i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 22.0674 | + | 12.7406i | 0.872292 | + | 0.503618i | ||||
\(641\) | 16.5092 | − | 9.53157i | 0.652073 | − | 0.376474i | −0.137177 | − | 0.990547i | \(-0.543803\pi\) |
0.789250 | + | 0.614072i | \(0.210470\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.3447 | − | 8.85928i | 0.605136 | − | 0.349376i | −0.165923 | − | 0.986139i | \(-0.553060\pi\) |
0.771060 | + | 0.636763i | \(0.219727\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.1521 | −0.438774 | ||||||||
\(647\) | −10.8951 | + | 18.8709i | −0.428330 | + | 0.741890i | −0.996725 | − | 0.0808661i | \(-0.974231\pi\) |
0.568395 | + | 0.822756i | \(0.307565\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 26.5320 | − | 15.3182i | 1.04147 | − | 0.601294i | ||||
\(650\) | −17.1467 | + | 29.6990i | −0.672549 | + | 1.16489i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.4955 | − | 19.9108i | −0.450198 | − | 0.779766i | ||||
\(653\) | −13.0852 | − | 7.55475i | −0.512064 | − | 0.295640i | 0.221618 | − | 0.975134i | \(-0.428866\pi\) |
−0.733682 | + | 0.679493i | \(0.762200\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.92558 | + | 10.2634i | 0.231532 | + | 0.401024i | ||||
\(656\) | −0.888629 | − | 1.53915i | −0.0346951 | − | 0.0600938i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 27.1850 | + | 15.6952i | 1.05898 | + | 0.611400i | 0.925149 | − | 0.379605i | \(-0.123940\pi\) |
0.133827 | + | 0.991005i | \(0.457273\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 43.7116i | − | 1.70019i | −0.526633 | − | 0.850093i | \(-0.676546\pi\) | ||
0.526633 | − | 0.850093i | \(-0.323454\pi\) | |||||||
\(662\) | 43.6139i | 1.69510i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −25.4095 | − | 14.6702i | −0.986078 | − | 0.569312i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.38044 | − | 4.12304i | −0.0921709 | − | 0.159645i | ||||
\(668\) | 27.5371 | + | 47.6957i | 1.06544 | + | 1.84540i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.86673 | + | 1.07776i | 0.0721181 | + | 0.0416374i | ||||
\(671\) | −5.28096 | − | 9.14690i | −0.203869 | − | 0.353112i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.60589 | + | 7.97763i | −0.177544 | + | 0.307515i | −0.941039 | − | 0.338299i | \(-0.890149\pi\) |
0.763495 | + | 0.645814i | \(0.223482\pi\) | |||||||
\(674\) | 56.2960 | − | 32.5025i | 2.16844 | − | 1.25195i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −21.0104 | + | 36.3911i | −0.808092 | + | 1.39966i | ||||
\(677\) | −22.8387 | −0.877763 | −0.438882 | − | 0.898545i | \(-0.644625\pi\) | ||||
−0.438882 | + | 0.898545i | \(0.644625\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 3.64721 | − | 2.10571i | 0.139864 | − | 0.0807505i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 23.8792 | − | 13.7867i | 0.914383 | − | 0.527919i | ||||
\(683\) | 29.6030 | + | 17.0913i | 1.13273 | + | 0.653981i | 0.944619 | − | 0.328168i | \(-0.106431\pi\) |
0.188108 | + | 0.982148i | \(0.439764\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 14.8421i | − | 0.567088i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.914230 | − | 1.58349i | 0.0348547 | − | 0.0603701i | ||||
\(689\) | 35.9066 | 1.36793 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.258747i | 0.00984320i | 0.999988 | + | 0.00492160i | \(0.00156660\pi\) | ||||
−0.999988 | + | 0.00492160i | \(0.998433\pi\) | |||||||
\(692\) | 6.22453 | 0.236621 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.74720 | −0.256120 | ||||||||
\(695\) | − | 25.6026i | − | 0.971163i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.11109 | −0.307229 | ||||||||
\(698\) | 30.7389 | − | 53.2413i | 1.16348 | − | 2.01521i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 5.16189i | − | 0.194962i | −0.995237 | − | 0.0974810i | \(-0.968921\pi\) | ||
0.995237 | − | 0.0974810i | \(-0.0310785\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.929636 | − | 0.536725i | −0.0350619 | − | 0.0202430i | ||||
\(704\) | 36.4487 | − | 21.0437i | 1.37371 | − | 0.793113i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 58.4475 | − | 33.7447i | 2.19970 | − | 1.27000i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.4944 | 0.882351 | 0.441175 | − | 0.897421i | \(-0.354562\pi\) | ||||
0.441175 | + | 0.897421i | \(0.354562\pi\) | |||||||
\(710\) | −6.24180 | + | 10.8111i | −0.234251 | + | 0.405734i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 31.9024 | − | 18.4189i | 1.19559 | − | 0.690276i | ||||
\(713\) | −7.50460 | + | 12.9984i | −0.281050 | + | 0.486792i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.8759 | − | 20.5697i | −0.444134 | − | 0.769263i | ||||
\(716\) | −63.9357 | − | 36.9133i | −2.38939 | − | 1.37952i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −28.0293 | − | 48.5481i | −1.04604 | − | 1.81180i | ||||
\(719\) | −5.07828 | − | 8.79584i | −0.189388 | − | 0.328029i | 0.755658 | − | 0.654966i | \(-0.227317\pi\) |
−0.945046 | + | 0.326937i | \(0.893984\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.27128 | − | 1.31132i | −0.0845283 | − | 0.0488024i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 32.6925i | − | 1.21501i | ||||||
\(725\) | − | 3.49523i | − | 0.129809i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.74874 | − | 3.31904i | −0.213209 | − | 0.123096i | 0.389593 | − | 0.920987i | \(-0.372616\pi\) |
−0.602802 | + | 0.797891i | \(0.705949\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.9347 | + | 20.6716i | 0.441725 | + | 0.765089i | ||||
\(731\) | −4.17238 | − | 7.22678i | −0.154321 | − | 0.267292i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.20130 | − | 3.00297i | −0.192114 | − | 0.110917i | 0.400858 | − | 0.916140i | \(-0.368712\pi\) |
−0.592972 | + | 0.805223i | \(0.702046\pi\) | |||||||
\(734\) | 6.38209 | + | 11.0541i | 0.235567 | + | 0.408014i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.8759 | + | 20.5697i | −0.437752 | + | 0.758209i | ||||
\(737\) | 1.84953 | − | 1.06782i | 0.0681281 | − | 0.0393338i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.81930 | − | 13.5434i | 0.287638 | − | 0.498203i | −0.685608 | − | 0.727971i | \(-0.740463\pi\) |
0.973245 | + | 0.229768i | \(0.0737968\pi\) | |||||||
\(740\) | 1.09132 | 0.0401176 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.3807 | + | 15.8083i | −1.00450 | + | 0.579949i | −0.909577 | − | 0.415535i | \(-0.863594\pi\) |
−0.0949246 | + | 0.995484i | \(0.530261\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.7664 | − | 12.5669i | 0.797461 | − | 0.460414i | ||||
\(746\) | −7.36032 | − | 4.24948i | −0.269480 | − | 0.155585i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 11.2332i | − | 0.410727i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.13680 | − | 12.3613i | 0.260426 | − | 0.451070i | −0.705929 | − | 0.708282i | \(-0.749470\pi\) |
0.966355 | + | 0.257212i | \(0.0828038\pi\) | |||||||
\(752\) | −1.00930 | −0.0368055 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 13.8407i | − | 0.504049i | ||||||
\(755\) | 1.57870 | 0.0574548 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.8227 | −0.393358 | −0.196679 | − | 0.980468i | \(-0.563016\pi\) | ||||
−0.196679 | + | 0.980468i | \(0.563016\pi\) | |||||||
\(758\) | 69.2975i | 2.51700i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.3236 | 0.628395 | ||||||||
\(761\) | −2.93098 | + | 5.07660i | −0.106248 | + | 0.184027i | −0.914247 | − | 0.405157i | \(-0.867217\pi\) |
0.808000 | + | 0.589183i | \(0.200550\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 72.2926i | − | 2.61546i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 33.4844 | + | 19.3323i | 1.20984 | + | 0.698503i | ||||
\(767\) | −41.9865 | + | 24.2409i | −1.51604 | + | 0.875288i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.5683 | − | 15.9166i | 0.994140 | − | 0.573967i | 0.0876307 | − | 0.996153i | \(-0.472070\pi\) |
0.906509 | + | 0.422186i | \(0.138737\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −53.6856 | −1.93219 | ||||||||
\(773\) | 9.51908 | − | 16.4875i | 0.342378 | − | 0.593015i | −0.642496 | − | 0.766289i | \(-0.722101\pi\) |
0.984874 | + | 0.173274i | \(0.0554345\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.54282 | + | 5.50955i | −0.342788 | + | 0.197909i | ||||
\(776\) | 4.18965 | − | 7.25668i | 0.150400 | − | 0.260500i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.3977 | − | 21.4734i | −0.444478 | − | 0.769859i | ||||
\(779\) | −28.8948 | − | 16.6824i | −1.03526 | − | 0.597710i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.18427 | + | 10.7115i | 0.221290 | + | 0.383286i | ||||
\(782\) | 4.97900 | + | 8.62388i | 0.178049 | + | 0.308389i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.1219 | − | 6.99857i | −0.432649 | − | 0.249790i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 18.9513i | − | 0.675540i | −0.941229 | − | 0.337770i | \(-0.890327\pi\) | ||
0.941229 | − | 0.337770i | \(-0.109673\pi\) | |||||||
\(788\) | − | 28.4601i | − | 1.01385i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.3494 | + | 5.97525i | 0.368216 | + | 0.212590i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.35705 | + | 14.4748i | 0.296768 | + | 0.514016i | ||||
\(794\) | 25.3857 | + | 43.9693i | 0.900905 | + | 1.56041i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 15.9422 | + | 9.20422i | 0.565055 | + | 0.326235i | ||||
\(797\) | 26.7207 | + | 46.2816i | 0.946497 | + | 1.63938i | 0.752727 | + | 0.658333i | \(0.228738\pi\) |
0.193770 | + | 0.981047i | \(0.437929\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.30314 | + | 3.98916i | −0.0814792 | + | 0.141126i | ||||
\(800\) | −15.1014 | + | 8.71878i | −0.533914 | + | 0.308256i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 27.4097 | − | 47.4750i | 0.967871 | − | 1.67640i | ||||
\(803\) | 23.6495 | 0.834571 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −37.7885 | + | 21.8172i | −1.33104 | + | 0.768479i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −16.5190 | + | 9.53727i | −0.581137 | + | 0.335520i | ||||
\(809\) | −2.23517 | − | 1.29047i | −0.0785842 | − | 0.0453706i | 0.460193 | − | 0.887819i | \(-0.347780\pi\) |
−0.538777 | + | 0.842448i | \(0.681114\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.06938i | 0.213125i | 0.994306 | + | 0.106562i | \(0.0339844\pi\) | ||||
−0.994306 | + | 0.106562i | \(0.966016\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.880438 | − | 1.52496i | 0.0308593 | − | 0.0534500i | ||||
\(815\) | −10.3634 | −0.363013 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 34.3261i | − | 1.20092i | ||||||
\(818\) | −59.9811 | −2.09719 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 33.9201 | 1.18454 | ||||||||
\(821\) | 9.28308i | 0.323982i | 0.986792 | + | 0.161991i | \(0.0517915\pi\) | ||||
−0.986792 | + | 0.161991i | \(0.948208\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.0690 | 0.629844 | 0.314922 | − | 0.949117i | \(-0.398022\pi\) | ||||
0.314922 | + | 0.949117i | \(0.398022\pi\) | |||||||
\(824\) | −2.29172 | + | 3.96937i | −0.0798357 | + | 0.138280i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 48.5440i | 1.68804i | 0.536310 | + | 0.844021i | \(0.319818\pi\) | ||||
−0.536310 | + | 0.844021i | \(0.680182\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.71804 | + | 2.72396i | 0.163864 | + | 0.0946071i | 0.579689 | − | 0.814837i | \(-0.303174\pi\) |
−0.415825 | + | 0.909445i | \(0.636507\pi\) | |||||||
\(830\) | −30.8344 | + | 17.8022i | −1.07028 | + | 0.617924i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −57.6796 | + | 33.3013i | −1.99968 | + | 1.15452i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.8252 | 0.859111 | ||||||||
\(836\) | 23.1038 | − | 40.0170i | 0.799062 | − | 1.38402i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −63.7793 | + | 36.8230i | −2.20322 | + | 1.27203i | ||||
\(839\) | 24.2673 | − | 42.0322i | 0.837801 | − | 1.45111i | −0.0539281 | − | 0.998545i | \(-0.517174\pi\) |
0.891729 | − | 0.452569i | \(-0.149492\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.7947 | − | 23.8931i | −0.475678 | − | 0.823899i | ||||
\(842\) | 21.8727 | + | 12.6282i | 0.753781 | + | 0.435196i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 41.1907 | + | 71.3444i | 1.41784 | + | 2.45578i | ||||
\(845\) | 9.47061 | + | 16.4036i | 0.325799 | + | 0.564300i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.45254 | + | 0.838622i | 0.0498803 | + | 0.0287984i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.31073i | 0.250756i | ||||||||
\(851\) | 0.958511i | 0.0328573i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −10.7703 | − | 6.21823i | −0.368768 | − | 0.212908i | 0.304152 | − | 0.952623i | \(-0.401627\pi\) |
−0.672920 | + | 0.739715i | \(0.734960\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.64007 | − | 11.5009i | −0.226953 | − | 0.393094i | ||||
\(857\) | −5.29077 | − | 9.16388i | −0.180729 | − | 0.313032i | 0.761400 | − | 0.648283i | \(-0.224512\pi\) |
−0.942129 | + | 0.335250i | \(0.891179\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.1452 | + | 16.2496i | 0.960302 | + | 0.554431i | 0.896266 | − | 0.443517i | \(-0.146269\pi\) |
0.0640360 | + | 0.997948i | \(0.479603\pi\) | |||||||
\(860\) | 17.4487 | + | 30.2220i | 0.594995 | + | 1.03056i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −18.5579 | + | 32.1432i | −0.632084 | + | 1.09480i | ||||
\(863\) | 21.8414 | − | 12.6102i | 0.743491 | − | 0.429255i | −0.0798460 | − | 0.996807i | \(-0.525443\pi\) |
0.823337 | + | 0.567552i | \(0.192110\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.40288 | − | 2.42986i | 0.0476994 | − | 0.0826177i | ||||
\(866\) | −28.5366 | −0.969715 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 10.2540 | − | 5.92017i | 0.347844 | − | 0.200828i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.92685 | + | 1.68982i | −0.0991724 | + | 0.0572572i | ||||
\(872\) | −18.9633 | − | 10.9485i | −0.642179 | − | 0.370762i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 40.9621i | 1.38556i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.47893 | − | 12.9539i | 0.252546 | − | 0.437422i | −0.711680 | − | 0.702503i | \(-0.752066\pi\) |
0.964226 | + | 0.265082i | \(0.0853989\pi\) | |||||||
\(878\) | −42.3921 | −1.43067 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 1.10948i | − | 0.0374005i | ||||||
\(881\) | 36.4482 | 1.22797 | 0.613985 | − | 0.789318i | \(-0.289566\pi\) | ||||
0.613985 | + | 0.789318i | \(0.289566\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.9831 | 0.537873 | 0.268936 | − | 0.963158i | \(-0.413328\pi\) | ||||
0.268936 | + | 0.963158i | \(0.413328\pi\) | |||||||
\(884\) | 17.7764i | 0.597884i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.8148 | 0.363330 | ||||||||
\(887\) | −24.5208 | + | 42.4713i | −0.823329 | + | 1.42605i | 0.0798613 | + | 0.996806i | \(0.474552\pi\) |
−0.903190 | + | 0.429241i | \(0.858781\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 44.7026i | − | 1.49843i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 49.2649 | + | 28.4431i | 1.64951 | + | 0.952346i | ||||
\(893\) | −16.4093 | + | 9.47393i | −0.549117 | + | 0.317033i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −28.8196 | + | 16.6390i | −0.963332 | + | 0.556180i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 36.9669 | 1.23360 | ||||||||
\(899\) | 2.22364 | − | 3.85145i | 0.0741625 | − | 0.128453i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.62911 | − | 3.82732i | 0.220848 | − | 0.127506i | ||||
\(902\) | 27.3657 | − | 47.3987i | 0.911177 | − | 1.57820i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.27687 | + | 9.13981i | 0.175506 | + | 0.303986i | ||||
\(905\) | −12.7621 | − | 7.36821i | −0.424227 | − | 0.244928i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.42915 | + | 4.20741i | 0.0806585 | + | 0.139705i | 0.903533 | − | 0.428519i | \(-0.140964\pi\) |
−0.822874 | + | 0.568223i | \(0.807631\pi\) | |||||||
\(908\) | 17.4487 | + | 30.2220i | 0.579054 | + | 1.00295i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −14.4945 | − | 8.36843i | −0.480226 | − | 0.277258i | 0.240285 | − | 0.970702i | \(-0.422759\pi\) |
−0.720510 | + | 0.693444i | \(0.756092\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 35.2763i | 1.16747i | ||||||||
\(914\) | 13.0829i | 0.432743i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 53.5678 | + | 30.9274i | 1.76993 | + | 1.02187i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.3200 | − | 26.5350i | −0.505360 | − | 0.875309i | −0.999981 | − | 0.00620006i | \(-0.998026\pi\) |
0.494621 | − | 0.869109i | \(-0.335307\pi\) | |||||||
\(920\) | −7.73436 | − | 13.3963i | −0.254994 | − | 0.441663i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −71.5015 | − | 41.2814i | −2.35478 | − | 1.35953i | ||||
\(923\) | −9.78651 | − | 16.9507i | −0.322127 | − | 0.557940i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.351848 | + | 0.609419i | −0.0115687 | + | 0.0200376i | ||||
\(926\) | 57.6450 | − | 33.2814i | 1.89433 | − | 1.09369i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.51887 | − | 6.09487i | 0.115513 | − | 0.200074i | ||||
\(929\) | 29.7445 | 0.975885 | 0.487943 | − | 0.872876i | \(-0.337747\pi\) | ||||
0.487943 | + | 0.872876i | \(0.337747\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.10245 | − | 4.67795i | 0.265405 | − | 0.153231i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.20876 | + | 3.00728i | −0.170436 | + | 0.0984011i | ||||
\(935\) | −4.38508 | − | 2.53173i | −0.143408 | − | 0.0827964i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.03712i | 0.131887i | 0.997823 | + | 0.0659434i | \(0.0210057\pi\) | ||||
−0.997823 | + | 0.0659434i | \(0.978994\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.63160 | − | 16.6824i | 0.314148 | − | 0.544121i | ||||
\(941\) | 14.4053 | 0.469599 | 0.234799 | − | 0.972044i | \(-0.424557\pi\) | ||||
0.234799 | + | 0.972044i | \(0.424557\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 29.7923i | 0.970171i | ||||||||
\(944\) | −2.26464 | −0.0737079 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 56.3081 | 1.83073 | ||||||||
\(947\) | 31.2155i | 1.01437i | 0.861838 | + | 0.507183i | \(0.169313\pi\) | ||||
−0.861838 | + | 0.507183i | \(0.830687\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −37.4249 | −1.21486 | ||||||||
\(950\) | −15.0363 | + | 26.0436i | −0.487841 | + | 0.844966i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 8.55869i | − | 0.277243i | −0.990345 | − | 0.138622i | \(-0.955733\pi\) | ||
0.990345 | − | 0.138622i | \(-0.0442672\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −28.2207 | − | 16.2933i | −0.913202 | − | 0.527237i | ||||
\(956\) | −34.1278 | + | 19.7037i | −1.10377 | + | 0.637263i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −61.2751 | + | 35.3772i | −1.97971 | + | 1.14298i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.9795 | 0.547724 | ||||||||
\(962\) | −1.39328 | + | 2.41323i | −0.0449212 | + | 0.0778058i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −37.2104 | + | 21.4835i | −1.19847 | + | 0.691936i | ||||
\(965\) | −12.0996 | + | 20.9572i | −0.389501 | + | 0.674635i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.0280 | + | 27.7614i | 0.515427 | + | 0.892745i | 0.999840 | + | 0.0179059i | \(0.00569994\pi\) |
−0.484413 | + | 0.874840i | \(0.660967\pi\) | |||||||
\(968\) | −1.24759 | − | 0.720299i | −0.0400992 | − | 0.0231513i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.08414 | − | 8.80598i | −0.163242 | − | 0.282743i | ||||
\(971\) | 16.6183 | + | 28.7838i | 0.533307 | + | 0.923715i | 0.999243 | + | 0.0388964i | \(0.0123842\pi\) |
−0.465936 | + | 0.884818i | \(0.654282\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 68.7469 | + | 39.6911i | 2.20279 | + | 1.27178i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.780736i | 0.0249908i | ||||||||
\(977\) | − | 52.1414i | − | 1.66815i | −0.551649 | − | 0.834076i | \(-0.686001\pi\) | ||
0.551649 | − | 0.834076i | \(-0.313999\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −38.3567 | − | 22.1453i | −1.22589 | − | 0.707765i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −29.8022 | − | 51.6189i | −0.951026 | − | 1.64723i | ||||
\(983\) | 12.1192 | + | 20.9911i | 0.386544 | + | 0.669513i | 0.991982 | − | 0.126379i | \(-0.0403356\pi\) |
−0.605438 | + | 0.795892i | \(0.707002\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.1099 | − | 6.41432i | −0.353992 | − | 0.204377i | ||||
\(986\) | −1.47529 | − | 2.55528i | −0.0469829 | − | 0.0813768i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −36.5614 | + | 63.3263i | −1.16317 | + | 2.01468i | ||||
\(989\) | −26.5442 | + | 15.3253i | −0.844056 | + | 0.487316i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.0991 | − | 20.9562i | 0.384339 | − | 0.665695i | −0.607338 | − | 0.794443i | \(-0.707763\pi\) |
0.991677 | + | 0.128749i | \(0.0410960\pi\) | |||||||
\(992\) | −22.1873 | −0.704448 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 7.18607 | − | 4.14888i | 0.227814 | − | 0.131528i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.81920 | + | 5.09177i | −0.279307 | + | 0.161258i | −0.633110 | − | 0.774062i | \(-0.718222\pi\) |
0.353803 | + | 0.935320i | \(0.384888\pi\) | |||||||
\(998\) | 24.5997 | + | 14.2027i | 0.778691 | + | 0.449578i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))