Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1323,2,Mod(440,1323)]
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, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1323.440");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.o (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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 440.2 | ||
Root | \(0.187540 + 0.324828i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.440 |
Dual form | 1323.2.o.d.881.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.621951 | − | 0.359083i | −0.439785 | − | 0.253910i | 0.263721 | − | 0.964599i | \(-0.415050\pi\) |
−0.703507 | + | 0.710689i | \(0.748383\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.742118 | − | 1.28539i | −0.371059 | − | 0.642693i | ||||
\(5\) | −0.723774 | − | 1.25361i | −0.323682 | − | 0.560633i | 0.657563 | − | 0.753400i | \(-0.271587\pi\) |
−0.981245 | + | 0.192766i | \(0.938254\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.50226i | 0.884683i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.03958i | 0.328744i | ||||||||
\(11\) | −1.55933 | − | 0.900281i | −0.470156 | − | 0.271445i | 0.246149 | − | 0.969232i | \(-0.420835\pi\) |
−0.716305 | + | 0.697787i | \(0.754168\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.88867 | − | 1.09042i | 0.523823 | − | 0.302429i | −0.214675 | − | 0.976686i | \(-0.568869\pi\) |
0.738497 | + | 0.674256i | \(0.235536\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.585716 | + | 1.01449i | −0.146429 | + | 0.253622i | ||||
\(17\) | −3.90460 | −0.947005 | −0.473503 | − | 0.880792i | \(-0.657011\pi\) | ||||
−0.473503 | + | 0.880792i | \(0.657011\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.01207i | 0.920432i | 0.887807 | + | 0.460216i | \(0.152228\pi\) | ||||
−0.887807 | + | 0.460216i | \(0.847772\pi\) | |||||||
\(20\) | −1.07425 | + | 1.86066i | −0.240210 | + | 0.416056i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.646552 | + | 1.11986i | 0.137845 | + | 0.238755i | ||||
\(23\) | −4.91522 | + | 2.83781i | −1.02490 | + | 0.591723i | −0.915518 | − | 0.402277i | \(-0.868219\pi\) |
−0.109377 | + | 0.994000i | \(0.534886\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.45230 | − | 2.51546i | 0.290460 | − | 0.503092i | ||||
\(26\) | −1.56621 | −0.307160 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.49418 | − | 4.90412i | −1.57733 | − | 0.910672i | −0.995230 | − | 0.0975551i | \(-0.968898\pi\) |
−0.582100 | − | 0.813117i | \(-0.697769\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.45129 | − | 1.41525i | 0.440264 | − | 0.254187i | −0.263445 | − | 0.964674i | \(-0.584859\pi\) |
0.703710 | + | 0.710488i | \(0.251526\pi\) | |||||||
\(32\) | 5.06262 | − | 2.92290i | 0.894953 | − | 0.516701i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.42847 | + | 1.40208i | 0.416479 | + | 0.240454i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.823534 | 0.135388 | 0.0676941 | − | 0.997706i | \(-0.478436\pi\) | ||||
0.0676941 | + | 0.997706i | \(0.478436\pi\) | |||||||
\(38\) | 1.44067 | − | 2.49531i | 0.233707 | − | 0.404793i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.13687 | − | 1.81107i | 0.495983 | − | 0.286356i | ||||
\(41\) | 5.90617 | + | 10.2298i | 0.922389 | + | 1.59762i | 0.795708 | + | 0.605681i | \(0.207099\pi\) |
0.126681 | + | 0.991943i | \(0.459567\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.76766 | + | 6.52578i | −0.574563 | + | 0.995172i | 0.421526 | + | 0.906816i | \(0.361494\pi\) |
−0.996089 | + | 0.0883555i | \(0.971839\pi\) | |||||||
\(44\) | 2.67246i | 0.402888i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.07604 | 0.600979 | ||||||||
\(47\) | −1.16920 | + | 2.02511i | −0.170545 | + | 0.295392i | −0.938610 | − | 0.344979i | \(-0.887886\pi\) |
0.768066 | + | 0.640371i | \(0.221219\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.80652 | + | 1.04299i | −0.255480 | + | 0.147502i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.80323 | − | 1.61845i | −0.388738 | − | 0.224438i | ||||
\(53\) | 1.15091i | 0.158089i | 0.996871 | + | 0.0790445i | \(0.0251869\pi\) | ||||
−0.996871 | + | 0.0790445i | \(0.974813\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.60640i | 0.351447i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.52198 | + | 6.10024i | 0.462458 | + | 0.801001i | ||||
\(59\) | 4.89555 | + | 8.47934i | 0.637346 | + | 1.10392i | 0.986013 | + | 0.166669i | \(0.0533013\pi\) |
−0.348666 | + | 0.937247i | \(0.613365\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.03980 | − | 1.17768i | −0.261170 | − | 0.150786i | 0.363698 | − | 0.931517i | \(-0.381514\pi\) |
−0.624868 | + | 0.780730i | \(0.714847\pi\) | |||||||
\(62\) | −2.03277 | −0.258163 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.85540 | −0.231925 | ||||||||
\(65\) | −2.73394 | − | 1.57844i | −0.339104 | − | 0.195782i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.156402 | + | 0.270897i | 0.0191076 | + | 0.0330953i | 0.875421 | − | 0.483361i | \(-0.160584\pi\) |
−0.856313 | + | 0.516456i | \(0.827251\pi\) | |||||||
\(68\) | 2.89768 | + | 5.01893i | 0.351395 | + | 0.608634i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.94933i | 0.231343i | 0.993288 | + | 0.115671i | \(0.0369019\pi\) | ||||
−0.993288 | + | 0.115671i | \(0.963098\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.80416i | 0.328202i | 0.986444 | + | 0.164101i | \(0.0524722\pi\) | ||||
−0.986444 | + | 0.164101i | \(0.947528\pi\) | |||||||
\(74\) | −0.512198 | − | 0.295717i | −0.0595418 | − | 0.0343765i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.15706 | − | 2.97743i | 0.591556 | − | 0.341535i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.21583 | + | 10.7661i | −0.699336 | + | 1.21128i | 0.269361 | + | 0.963039i | \(0.413187\pi\) |
−0.968697 | + | 0.248246i | \(0.920146\pi\) | |||||||
\(80\) | 1.69570 | 0.189585 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 8.48323i | − | 0.936816i | ||||||
\(83\) | 3.60916 | − | 6.25124i | 0.396157 | − | 0.686163i | −0.597092 | − | 0.802173i | \(-0.703677\pi\) |
0.993248 | + | 0.116010i | \(0.0370104\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.82605 | + | 4.89486i | 0.306528 | + | 0.530923i | ||||
\(86\) | 4.68660 | − | 2.70581i | 0.505369 | − | 0.291775i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.25274 | − | 3.90186i | 0.240143 | − | 0.415939i | ||||
\(89\) | 10.5800 | 1.12147 | 0.560737 | − | 0.827994i | \(-0.310518\pi\) | ||||
0.560737 | + | 0.827994i | \(0.310518\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.29536 | + | 4.21198i | 0.760593 | + | 0.439129i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.45436 | − | 0.839677i | 0.150006 | − | 0.0866061i | ||||
\(95\) | 5.02959 | − | 2.90383i | 0.516025 | − | 0.297927i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.4322 | + | 7.75510i | 1.36384 | + | 0.787411i | 0.990132 | − | 0.140137i | \(-0.0447543\pi\) |
0.373704 | + | 0.927548i | \(0.378088\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.31112 | −0.431112 | ||||||||
\(101\) | −1.97309 | + | 3.41749i | −0.196330 | + | 0.340053i | −0.947336 | − | 0.320242i | \(-0.896236\pi\) |
0.751006 | + | 0.660295i | \(0.229569\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.59853 | − | 2.07761i | 0.354573 | − | 0.204713i | −0.312124 | − | 0.950041i | \(-0.601041\pi\) |
0.666698 | + | 0.745328i | \(0.267707\pi\) | |||||||
\(104\) | 2.72853 | + | 4.72595i | 0.267554 | + | 0.463417i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.413271 | − | 0.715806i | 0.0401404 | − | 0.0695253i | ||||
\(107\) | 5.67065i | 0.548202i | 0.961701 | + | 0.274101i | \(0.0883803\pi\) | ||||
−0.961701 | + | 0.274101i | \(0.911620\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.9983 | −1.14923 | −0.574615 | − | 0.818424i | \(-0.694848\pi\) | ||||
−0.574615 | + | 0.818424i | \(0.694848\pi\) | |||||||
\(110\) | 0.935915 | − | 1.62105i | 0.0892360 | − | 0.154561i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.27800 | + | 3.62461i | −0.590585 | + | 0.340974i | −0.765329 | − | 0.643640i | \(-0.777424\pi\) |
0.174744 | + | 0.984614i | \(0.444090\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.11502 | + | 4.10786i | 0.663479 | + | 0.383060i | ||||
\(116\) | 14.5577i | 1.35165i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 7.03164i | − | 0.647315i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.87899 | − | 6.71861i | −0.352635 | − | 0.610782i | ||||
\(122\) | 0.845770 | + | 1.46492i | 0.0765724 | + | 0.132627i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.63829 | − | 2.10057i | −0.326728 | − | 0.188637i | ||||
\(125\) | −11.4423 | −1.02343 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.881336 | −0.0782059 | −0.0391030 | − | 0.999235i | \(-0.512450\pi\) | ||||
−0.0391030 | + | 0.999235i | \(0.512450\pi\) | |||||||
\(128\) | −8.97127 | − | 5.17956i | −0.792956 | − | 0.457813i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.13358 | + | 1.96343i | 0.0994219 | + | 0.172204i | ||||
\(131\) | −1.48721 | − | 2.57592i | −0.129938 | − | 0.225059i | 0.793714 | − | 0.608291i | \(-0.208144\pi\) |
−0.923652 | + | 0.383232i | \(0.874811\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 0.224646i | − | 0.0194065i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 9.77034i | − | 0.837800i | ||||||
\(137\) | −10.3045 | − | 5.94930i | −0.880372 | − | 0.508283i | −0.00959114 | − | 0.999954i | \(-0.503053\pi\) |
−0.870781 | + | 0.491671i | \(0.836386\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.4143 | + | 6.01268i | −0.883327 | + | 0.509989i | −0.871754 | − | 0.489944i | \(-0.837017\pi\) |
−0.0115731 | + | 0.999933i | \(0.503684\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.699971 | − | 1.21239i | 0.0587403 | − | 0.101741i | ||||
\(143\) | −3.92675 | −0.328371 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.1979i | 1.17907i | ||||||||
\(146\) | 1.00693 | − | 1.74405i | 0.0833338 | − | 0.144338i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.611160 | − | 1.05856i | −0.0502370 | − | 0.0870131i | ||||
\(149\) | 6.13061 | − | 3.53951i | 0.502239 | − | 0.289968i | −0.227399 | − | 0.973802i | \(-0.573022\pi\) |
0.729638 | + | 0.683834i | \(0.239689\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.79093 | + | 13.4943i | −0.634017 | + | 1.09815i | 0.352706 | + | 0.935734i | \(0.385262\pi\) |
−0.986723 | + | 0.162415i | \(0.948072\pi\) | |||||||
\(152\) | −10.0393 | −0.814291 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.54836 | − | 2.04865i | −0.285011 | − | 0.164551i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.80677 | + | 1.04314i | −0.144196 | + | 0.0832517i | −0.570362 | − | 0.821393i | \(-0.693197\pi\) |
0.426166 | + | 0.904645i | \(0.359864\pi\) | |||||||
\(158\) | 7.73188 | − | 4.46400i | 0.615115 | − | 0.355137i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.32839 | − | 4.23105i | −0.579360 | − | 0.334494i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.1797 | 0.875659 | 0.437830 | − | 0.899058i | \(-0.355747\pi\) | ||||
0.437830 | + | 0.899058i | \(0.355747\pi\) | |||||||
\(164\) | 8.76616 | − | 15.1834i | 0.684522 | − | 1.18563i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.48944 | + | 2.59198i | −0.348448 | + | 0.201176i | ||||
\(167\) | −0.960750 | − | 1.66407i | −0.0743450 | − | 0.128769i | 0.826456 | − | 0.563001i | \(-0.190353\pi\) |
−0.900801 | + | 0.434232i | \(0.857020\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.12195 | + | 7.13943i | −0.317073 | + | 0.549187i | ||||
\(170\) | − | 4.05915i | − | 0.311323i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.1842 | 0.852787 | ||||||||
\(173\) | −7.61290 | + | 13.1859i | −0.578798 | + | 1.00251i | 0.416820 | + | 0.908989i | \(0.363145\pi\) |
−0.995618 | + | 0.0935182i | \(0.970189\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.82665 | − | 1.05462i | 0.137689 | − | 0.0794948i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.58022 | − | 3.79909i | −0.493208 | − | 0.284754i | ||||
\(179\) | 0.345718i | 0.0258402i | 0.999917 | + | 0.0129201i | \(0.00411271\pi\) | ||||
−0.999917 | + | 0.0129201i | \(0.995887\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.27661i | 0.243548i | 0.992558 | + | 0.121774i | \(0.0388583\pi\) | ||||
−0.992558 | + | 0.121774i | \(0.961142\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.10094 | − | 12.2992i | −0.523488 | − | 0.906708i | ||||
\(185\) | −0.596053 | − | 1.03239i | −0.0438227 | − | 0.0759031i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.08857 | + | 3.51524i | 0.445241 | + | 0.257060i | ||||
\(188\) | 3.47073 | 0.253129 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.17087 | −0.302587 | ||||||||
\(191\) | 6.40096 | + | 3.69560i | 0.463158 | + | 0.267404i | 0.713371 | − | 0.700787i | \(-0.247167\pi\) |
−0.250213 | + | 0.968191i | \(0.580501\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.51425 | − | 11.2830i | −0.468906 | − | 0.812169i | 0.530462 | − | 0.847708i | \(-0.322018\pi\) |
−0.999368 | + | 0.0355398i | \(0.988685\pi\) | |||||||
\(194\) | −5.56945 | − | 9.64658i | −0.399863 | − | 0.692584i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 4.03035i | − | 0.287151i | −0.989639 | − | 0.143575i | \(-0.954140\pi\) | ||
0.989639 | − | 0.143575i | \(-0.0458599\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.4078i | 1.16312i | 0.813504 | + | 0.581559i | \(0.197557\pi\) | ||||
−0.813504 | + | 0.581559i | \(0.802443\pi\) | |||||||
\(200\) | 6.29434 | + | 3.63404i | 0.445077 | + | 0.256965i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.45433 | − | 1.41701i | 0.172686 | − | 0.0997003i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.54947 | − | 14.8081i | 0.597121 | − | 1.03424i | ||||
\(206\) | −2.98414 | −0.207915 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.55471i | 0.177138i | ||||||||
\(209\) | 3.61199 | − | 6.25615i | 0.249847 | − | 0.432747i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.00827 | − | 10.4066i | −0.413627 | − | 0.716422i | 0.581657 | − | 0.813434i | \(-0.302405\pi\) |
−0.995283 | + | 0.0970121i | \(0.969071\pi\) | |||||||
\(212\) | 1.47936 | − | 0.854108i | 0.101603 | − | 0.0586604i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.03623 | − | 3.52686i | 0.139194 | − | 0.241091i | ||||
\(215\) | 10.9077 | 0.743902 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.46236 | + | 4.30839i | 0.505415 | + | 0.291801i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.35023 | − | 1.93426i | 0.225873 | − | 0.130408i | ||||
\(221\) | −7.37451 | + | 4.25767i | −0.496063 | + | 0.286402i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.7932 | − | 13.1597i | −1.52635 | − | 0.881237i | −0.999511 | − | 0.0312693i | \(-0.990045\pi\) |
−0.526836 | − | 0.849967i | \(-0.676622\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.20614 | 0.346307 | ||||||||
\(227\) | 5.40410 | − | 9.36018i | 0.358683 | − | 0.621257i | −0.629058 | − | 0.777358i | \(-0.716559\pi\) |
0.987741 | + | 0.156101i | \(0.0498926\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.39777 | + | 4.84846i | −0.554941 | + | 0.320395i | −0.751112 | − | 0.660174i | \(-0.770482\pi\) |
0.196172 | + | 0.980570i | \(0.437149\pi\) | |||||||
\(230\) | −2.95013 | − | 5.10977i | −0.194526 | − | 0.336928i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.2714 | − | 21.2547i | 0.805657 | − | 1.39544i | ||||
\(233\) | − | 2.22739i | − | 0.145921i | −0.997335 | − | 0.0729605i | \(-0.976755\pi\) | ||
0.997335 | − | 0.0729605i | \(-0.0232447\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.38493 | 0.220809 | ||||||||
\(236\) | 7.26616 | − | 12.5854i | 0.472986 | − | 0.819237i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 15.9697 | − | 9.22008i | 1.03299 | − | 0.596398i | 0.115151 | − | 0.993348i | \(-0.463265\pi\) |
0.917840 | + | 0.396950i | \(0.129932\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.60475 | + | 3.23591i | 0.361034 | + | 0.208443i | 0.669534 | − | 0.742781i | \(-0.266494\pi\) |
−0.308500 | + | 0.951224i | \(0.599827\pi\) | |||||||
\(242\) | 5.57152i | 0.358151i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.49591i | 0.223803i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.37486 | + | 7.57748i | 0.278366 | + | 0.482143i | ||||
\(248\) | 3.54133 | + | 6.13377i | 0.224875 | + | 0.389495i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.11654 | + | 4.10874i | 0.450090 | + | 0.259859i | ||||
\(251\) | −0.416679 | −0.0263005 | −0.0131503 | − | 0.999914i | \(-0.504186\pi\) | ||||
−0.0131503 | + | 0.999914i | \(0.504186\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.2193 | 0.642481 | ||||||||
\(254\) | 0.548147 | + | 0.316473i | 0.0343938 | + | 0.0198573i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.57519 | + | 9.65652i | 0.348449 | + | 0.603532i | ||||
\(257\) | −10.5642 | − | 18.2977i | −0.658976 | − | 1.14138i | −0.980881 | − | 0.194607i | \(-0.937657\pi\) |
0.321906 | − | 0.946772i | \(-0.395677\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.68556i | 0.290586i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.13612i | 0.131970i | ||||||||
\(263\) | −19.2653 | − | 11.1228i | −1.18795 | − | 0.685862i | −0.230108 | − | 0.973165i | \(-0.573908\pi\) |
−0.957840 | + | 0.287304i | \(0.907241\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.44279 | − | 0.832996i | 0.0886299 | − | 0.0511705i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.232138 | − | 0.402075i | 0.0141801 | − | 0.0245607i | ||||
\(269\) | −29.0329 | −1.77017 | −0.885083 | − | 0.465433i | \(-0.845898\pi\) | ||||
−0.885083 | + | 0.465433i | \(0.845898\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 24.0378i | − | 1.46019i | −0.683344 | − | 0.730097i | \(-0.739475\pi\) | ||
0.683344 | − | 0.730097i | \(-0.260525\pi\) | |||||||
\(272\) | 2.28699 | − | 3.96118i | 0.138669 | − | 0.240182i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.27259 | + | 7.40034i | 0.258117 | + | 0.447071i | ||||
\(275\) | −4.52924 | + | 2.61496i | −0.273124 | + | 0.157688i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.03243 | + | 6.98437i | −0.242285 | + | 0.419650i | −0.961365 | − | 0.275278i | \(-0.911230\pi\) |
0.719080 | + | 0.694928i | \(0.244564\pi\) | |||||||
\(278\) | 8.63622 | 0.517966 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.0876 | + | 6.97879i | 0.721087 | + | 0.416320i | 0.815153 | − | 0.579246i | \(-0.196653\pi\) |
−0.0940658 | + | 0.995566i | \(0.529986\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.4559 | + | 7.76876i | −0.799869 | + | 0.461805i | −0.843425 | − | 0.537246i | \(-0.819465\pi\) |
0.0435563 | + | 0.999051i | \(0.486131\pi\) | |||||||
\(284\) | 2.50564 | − | 1.44663i | 0.148682 | − | 0.0858418i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.44225 | + | 1.41003i | 0.144413 | + | 0.0833769i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.75407 | −0.103181 | ||||||||
\(290\) | 5.09823 | − | 8.83039i | 0.299378 | − | 0.518539i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.60442 | − | 2.08102i | 0.210933 | − | 0.121782i | ||||
\(293\) | −6.73712 | − | 11.6690i | −0.393587 | − | 0.681712i | 0.599333 | − | 0.800500i | \(-0.295433\pi\) |
−0.992920 | + | 0.118788i | \(0.962099\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.08655 | − | 12.2743i | 0.412595 | − | 0.714635i | ||||
\(296\) | 2.06070i | 0.119776i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.08391 | −0.294503 | ||||||||
\(299\) | −6.18882 | + | 10.7194i | −0.357909 | + | 0.619916i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 9.69114 | − | 5.59518i | 0.557663 | − | 0.321967i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.07020 | − | 2.34993i | −0.233442 | − | 0.134778i | ||||
\(305\) | 3.40950i | 0.195227i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 8.62791i | − | 0.492421i | −0.969216 | − | 0.246210i | \(-0.920815\pi\) | ||
0.969216 | − | 0.246210i | \(-0.0791854\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.47127 | + | 2.54831i | 0.0835625 | + | 0.144734i | ||||
\(311\) | 8.12200 | + | 14.0677i | 0.460556 | + | 0.797707i | 0.998989 | − | 0.0449616i | \(-0.0143165\pi\) |
−0.538432 | + | 0.842669i | \(0.680983\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.86899 | − | 3.38846i | −0.331735 | − | 0.191527i | 0.324876 | − | 0.945757i | \(-0.394677\pi\) |
−0.656611 | + | 0.754229i | \(0.728011\pi\) | |||||||
\(314\) | 1.49830 | 0.0845538 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.4515 | 1.03798 | ||||||||
\(317\) | 19.0245 | + | 10.9838i | 1.06852 | + | 0.616911i | 0.927777 | − | 0.373135i | \(-0.121717\pi\) |
0.140744 | + | 0.990046i | \(0.455051\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.83017 | + | 15.2943i | 0.494395 | + | 0.856316i | ||||
\(320\) | 1.34289 | + | 2.32596i | 0.0750699 | + | 0.130025i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 15.6655i | − | 0.871654i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 6.33450i | − | 0.351375i | ||||||
\(326\) | −6.95320 | − | 4.01443i | −0.385102 | − | 0.222339i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.5976 | + | 14.7788i | −1.41339 | + | 0.816022i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.30179 | − | 12.6471i | 0.401342 | − | 0.695145i | −0.592546 | − | 0.805537i | \(-0.701877\pi\) |
0.993888 | + | 0.110391i | \(0.0352104\pi\) | |||||||
\(332\) | −10.7137 | −0.587990 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.37996i | 0.0755079i | ||||||||
\(335\) | 0.226400 | − | 0.392137i | 0.0123696 | − | 0.0214247i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.2629 | − | 28.1681i | −0.885894 | − | 1.53441i | −0.844685 | − | 0.535263i | \(-0.820212\pi\) |
−0.0412090 | − | 0.999151i | \(-0.513121\pi\) | |||||||
\(338\) | 5.12730 | − | 2.96025i | 0.278888 | − | 0.161016i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.19453 | − | 7.26514i | 0.227480 | − | 0.394007i | ||||
\(341\) | −5.09650 | −0.275991 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −16.3292 | − | 9.42767i | −0.880412 | − | 0.508306i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.46969 | − | 5.46733i | 0.509094 | − | 0.293925i | ||||
\(347\) | 2.76005 | − | 1.59352i | 0.148167 | − | 0.0855444i | −0.424084 | − | 0.905623i | \(-0.639404\pi\) |
0.572251 | + | 0.820079i | \(0.306070\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.48224 | − | 3.74252i | −0.346986 | − | 0.200333i | 0.316371 | − | 0.948636i | \(-0.397536\pi\) |
−0.663357 | + | 0.748303i | \(0.730869\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −10.5257 | −0.561024 | ||||||||
\(353\) | −5.69040 | + | 9.85606i | −0.302869 | + | 0.524585i | −0.976785 | − | 0.214223i | \(-0.931278\pi\) |
0.673915 | + | 0.738809i | \(0.264611\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.44370 | − | 1.41087i | 0.129698 | − | 0.0748814i | ||||
\(356\) | −7.85159 | − | 13.5994i | −0.416134 | − | 0.720764i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.124142 | − | 0.215020i | 0.00656109 | − | 0.0113641i | ||||
\(359\) | − | 5.51449i | − | 0.291044i | −0.989355 | − | 0.145522i | \(-0.953514\pi\) | ||
0.989355 | − | 0.145522i | \(-0.0464861\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.90328 | 0.152804 | ||||||||
\(362\) | 1.17657 | − | 2.03789i | 0.0618394 | − | 0.107109i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.51533 | − | 2.02958i | 0.184001 | − | 0.106233i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.2753 | − | 10.5512i | −0.953962 | − | 0.550770i | −0.0596526 | − | 0.998219i | \(-0.518999\pi\) |
−0.894309 | + | 0.447449i | \(0.852333\pi\) | |||||||
\(368\) | − | 6.64859i | − | 0.346582i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.856131i | 0.0445081i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.68498 | − | 13.3108i | −0.397913 | − | 0.689206i | 0.595555 | − | 0.803314i | \(-0.296932\pi\) |
−0.993468 | + | 0.114109i | \(0.963599\pi\) | |||||||
\(374\) | −2.52453 | − | 4.37261i | −0.130540 | − | 0.226102i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.06735 | − | 2.92563i | −0.261328 | − | 0.150878i | ||||
\(377\) | −21.3903 | −1.10166 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −32.3630 | −1.66238 | −0.831188 | − | 0.555991i | \(-0.812339\pi\) | ||||
−0.831188 | + | 0.555991i | \(0.812339\pi\) | |||||||
\(380\) | −7.46510 | − | 4.30998i | −0.382951 | − | 0.221097i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.65406 | − | 4.59696i | −0.135793 | − | 0.235201i | ||||
\(383\) | 9.91730 | + | 17.1773i | 0.506750 | + | 0.877718i | 0.999969 | + | 0.00781236i | \(0.00248678\pi\) |
−0.493219 | + | 0.869905i | \(0.664180\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.35663i | 0.476240i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 23.0208i | − | 1.16870i | ||||||
\(389\) | 4.41918 | + | 2.55141i | 0.224061 | + | 0.129362i | 0.607829 | − | 0.794068i | \(-0.292040\pi\) |
−0.383768 | + | 0.923429i | \(0.625374\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.1920 | − | 11.0805i | 0.970581 | − | 0.560365i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.44723 | + | 2.50668i | −0.0729105 | + | 0.126285i | ||||
\(395\) | 17.9954 | 0.905449 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.3123i | 0.668125i | 0.942551 | + | 0.334062i | \(0.108420\pi\) | ||||
−0.942551 | + | 0.334062i | \(0.891580\pi\) | |||||||
\(398\) | 5.89177 | − | 10.2048i | 0.295328 | − | 0.511522i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.70127 | + | 2.94669i | 0.0850636 | + | 0.147334i | ||||
\(401\) | 14.1750 | − | 8.18392i | 0.707864 | − | 0.408685i | −0.102406 | − | 0.994743i | \(-0.532654\pi\) |
0.810270 | + | 0.586057i | \(0.199321\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.08645 | − | 5.34589i | 0.153747 | − | 0.266298i | ||||
\(404\) | 5.85706 | 0.291400 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.28416 | − | 0.741412i | −0.0636536 | − | 0.0367504i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.75604 | + | 2.16855i | −0.185724 | + | 0.107228i | −0.589979 | − | 0.807418i | \(-0.700864\pi\) |
0.404255 | + | 0.914646i | \(0.367531\pi\) | |||||||
\(410\) | −10.6347 | + | 6.13994i | −0.525210 | + | 0.303230i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.34107 | − | 3.08367i | −0.263135 | − | 0.151921i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.4489 | −0.512914 | ||||||||
\(416\) | 6.37441 | − | 11.0408i | 0.312531 | − | 0.541320i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.49296 | + | 2.59401i | −0.219758 | + | 0.126877i | ||||
\(419\) | 9.41294 | + | 16.3037i | 0.459852 | + | 0.796487i | 0.998953 | − | 0.0457540i | \(-0.0145690\pi\) |
−0.539100 | + | 0.842241i | \(0.681236\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.913453 | − | 1.58215i | 0.0445190 | − | 0.0771092i | −0.842907 | − | 0.538059i | \(-0.819158\pi\) |
0.887426 | + | 0.460950i | \(0.152491\pi\) | |||||||
\(422\) | 8.62988i | 0.420096i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.87987 | −0.139859 | ||||||||
\(425\) | −5.67066 | + | 9.82187i | −0.275068 | + | 0.476431i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.28897 | − | 4.20829i | 0.352326 | − | 0.203415i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.78407 | − | 3.91679i | −0.327157 | − | 0.188884i | ||||
\(431\) | 14.3791i | 0.692616i | 0.938121 | + | 0.346308i | \(0.112565\pi\) | ||||
−0.938121 | + | 0.346308i | \(0.887435\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.22130i | 0.106749i | 0.998575 | + | 0.0533745i | \(0.0169977\pi\) | ||||
−0.998575 | + | 0.0533745i | \(0.983002\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.90417 | + | 15.4225i | 0.426432 | + | 0.738602i | ||||
\(437\) | −11.3855 | − | 19.7202i | −0.544641 | − | 0.943347i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.69907 | − | 5.02241i | −0.415184 | − | 0.239706i | 0.277831 | − | 0.960630i | \(-0.410385\pi\) |
−0.693015 | + | 0.720924i | \(0.743718\pi\) | |||||||
\(440\) | −6.52190 | −0.310919 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.11544 | 0.290882 | ||||||||
\(443\) | 12.0321 | + | 6.94672i | 0.571661 | + | 0.330049i | 0.757812 | − | 0.652472i | \(-0.226268\pi\) |
−0.186151 | + | 0.982521i | \(0.559602\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.65751 | − | 13.2632i | −0.363001 | − | 0.628736i | ||||
\(446\) | 9.45084 | + | 16.3693i | 0.447510 | + | 0.775110i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 10.5630i | − | 0.498498i | −0.968439 | − | 0.249249i | \(-0.919816\pi\) | ||
0.968439 | − | 0.249249i | \(-0.0801837\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 21.2688i | − | 1.00151i | ||||||
\(452\) | 9.31804 | + | 5.37977i | 0.438284 | + | 0.253043i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.72217 | + | 3.88105i | −0.315487 | + | 0.182147i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.55654 | + | 4.42805i | −0.119590 | + | 0.207135i | −0.919605 | − | 0.392844i | \(-0.871491\pi\) |
0.800015 | + | 0.599979i | \(0.204825\pi\) | |||||||
\(458\) | 6.96400 | 0.325406 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 12.1941i | − | 0.568552i | ||||||
\(461\) | 4.16691 | − | 7.21730i | 0.194072 | − | 0.336143i | −0.752524 | − | 0.658565i | \(-0.771164\pi\) |
0.946596 | + | 0.322422i | \(0.104497\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.0143 | + | 17.3452i | 0.465403 | + | 0.806102i | 0.999220 | − | 0.0394986i | \(-0.0125761\pi\) |
−0.533817 | + | 0.845600i | \(0.679243\pi\) | |||||||
\(464\) | 9.95036 | − | 5.74484i | 0.461934 | − | 0.266698i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.799817 | + | 1.38532i | −0.0370508 | + | 0.0641739i | ||||
\(467\) | −20.7792 | −0.961546 | −0.480773 | − | 0.876845i | \(-0.659644\pi\) | ||||
−0.480773 | + | 0.876845i | \(0.659644\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −2.10526 | − | 1.21547i | −0.0971085 | − | 0.0560656i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −21.2175 | + | 12.2500i | −0.976616 | + | 0.563850i | ||||
\(473\) | 11.7501 | − | 6.78390i | 0.540268 | − | 0.311924i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.0922 | + | 5.82674i | 0.463062 | + | 0.267349i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.2431 | −0.605726 | ||||||||
\(479\) | −16.0308 | + | 27.7662i | −0.732468 | + | 1.26867i | 0.223357 | + | 0.974737i | \(0.428298\pi\) |
−0.955825 | + | 0.293935i | \(0.905035\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.55538 | − | 0.898002i | 0.0709194 | − | 0.0409454i | ||||
\(482\) | −2.32392 | − | 4.02515i | −0.105852 | − | 0.183340i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.75734 | + | 9.97200i | −0.261697 | + | 0.453273i | ||||
\(485\) | − | 22.4518i | − | 1.01948i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.6750 | −1.07282 | −0.536408 | − | 0.843959i | \(-0.680219\pi\) | ||||
−0.536408 | + | 0.843959i | \(0.680219\pi\) | |||||||
\(488\) | 2.94686 | − | 5.10412i | 0.133398 | − | 0.231052i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.4664 | + | 8.92951i | −0.697987 | + | 0.402983i | −0.806597 | − | 0.591101i | \(-0.798693\pi\) |
0.108610 | + | 0.994084i | \(0.465360\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 33.1664 | + | 19.1486i | 1.49374 | + | 0.862411i | ||||
\(494\) | − | 6.28376i | − | 0.282720i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.31574i | 0.148881i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.5602 | + | 20.0229i | 0.517506 | + | 0.896346i | 0.999793 | + | 0.0203330i | \(0.00647265\pi\) |
−0.482288 | + | 0.876013i | \(0.660194\pi\) | |||||||
\(500\) | 8.49154 | + | 14.7078i | 0.379753 | + | 0.657752i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.259154 | + | 0.149622i | 0.0115666 | + | 0.00667798i | ||||
\(503\) | 13.9995 | 0.624206 | 0.312103 | − | 0.950048i | \(-0.398967\pi\) | ||||
0.312103 | + | 0.950048i | \(0.398967\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.71228 | 0.254193 | ||||||||
\(506\) | −6.35589 | − | 3.66958i | −0.282554 | − | 0.163133i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.654056 | + | 1.13286i | 0.0290190 | + | 0.0502624i | ||||
\(509\) | −6.79171 | − | 11.7636i | −0.301037 | − | 0.521411i | 0.675334 | − | 0.737512i | \(-0.263999\pi\) |
−0.976371 | + | 0.216100i | \(0.930666\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 12.7104i | 0.561727i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.1737i | 0.669283i | ||||||||
\(515\) | −5.20904 | − | 3.00744i | −0.229538 | − | 0.132524i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.64633 | − | 2.10521i | 0.160365 | − | 0.0925870i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.94968 | − | 6.84104i | 0.173205 | − | 0.299999i | ||||
\(521\) | 31.8954 | 1.39736 | 0.698682 | − | 0.715432i | \(-0.253770\pi\) | ||||
0.698682 | + | 0.715432i | \(0.253770\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.39177i | 0.0608580i | 0.999537 | + | 0.0304290i | \(0.00968734\pi\) | ||||
−0.999537 | + | 0.0304290i | \(0.990313\pi\) | |||||||
\(524\) | −2.20737 | + | 3.82327i | −0.0964293 | + | 0.167020i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.98803 | + | 13.8357i | 0.348295 | + | 0.603264i | ||||
\(527\) | −9.57131 | + | 5.52600i | −0.416933 | + | 0.240716i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.60628 | − | 7.97832i | 0.200273 | − | 0.346883i | ||||
\(530\) | −1.19646 | −0.0519709 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.3096 | + | 12.8805i | 0.966337 | + | 0.557915i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.10880 | − | 4.10427i | 0.307340 | − | 0.177443i | ||||
\(536\) | −0.677855 | + | 0.391360i | −0.0292789 | + | 0.0169042i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.0570 | + | 10.4252i | 0.778493 | + | 0.449463i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −25.9472 | −1.11556 | −0.557779 | − | 0.829990i | \(-0.688346\pi\) | ||||
−0.557779 | + | 0.829990i | \(0.688346\pi\) | |||||||
\(542\) | −8.63158 | + | 14.9503i | −0.370758 | + | 0.642172i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −19.7675 | + | 11.4128i | −0.847525 | + | 0.489319i | ||||
\(545\) | 8.68407 | + | 15.0413i | 0.371985 | + | 0.644296i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.32438 | + | 16.1503i | −0.398682 | + | 0.690537i | −0.993564 | − | 0.113276i | \(-0.963865\pi\) |
0.594882 | + | 0.803813i | \(0.297199\pi\) | |||||||
\(548\) | 17.6603i | 0.754413i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.75595 | 0.160154 | ||||||||
\(551\) | 19.6757 | − | 34.0793i | 0.838212 | − | 1.45183i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 5.01594 | − | 2.89595i | 0.213107 | − | 0.123037i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.4572 | + | 8.92424i | 0.655533 | + | 0.378472i | ||||
\(557\) | − | 41.9811i | − | 1.77880i | −0.457134 | − | 0.889398i | \(-0.651124\pi\) | ||
0.457134 | − | 0.889398i | \(-0.348876\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.4334i | 0.695058i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.01193 | − | 8.68092i | −0.211416 | − | 0.366183i | ||||
\(563\) | −19.3006 | − | 33.4295i | −0.813422 | − | 1.40889i | −0.910456 | − | 0.413606i | \(-0.864269\pi\) |
0.0970343 | − | 0.995281i | \(-0.469064\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.08771 | + | 5.24679i | 0.382323 | + | 0.220734i | ||||
\(566\) | 11.1585 | 0.469028 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.87773 | −0.204665 | ||||||||
\(569\) | −30.4460 | − | 17.5780i | −1.27636 | − | 0.736908i | −0.300184 | − | 0.953881i | \(-0.597048\pi\) |
−0.976178 | + | 0.216973i | \(0.930382\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.6766 | + | 30.6167i | 0.739742 | + | 1.28127i | 0.952611 | + | 0.304190i | \(0.0983857\pi\) |
−0.212870 | + | 0.977081i | \(0.568281\pi\) | |||||||
\(572\) | 2.91411 | + | 5.04739i | 0.121845 | + | 0.211042i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.4854i | 0.687489i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 26.8534i | 1.11792i | 0.829195 | + | 0.558960i | \(0.188799\pi\) | ||||
−0.829195 | + | 0.558960i | \(0.811201\pi\) | |||||||
\(578\) | 1.09095 | + | 0.629858i | 0.0453774 | + | 0.0261986i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 18.2498 | − | 10.5365i | 0.757781 | − | 0.437505i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.03614 | − | 1.79464i | 0.0429125 | − | 0.0743266i | ||||
\(584\) | −7.01673 | −0.290355 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.67675i | 0.399743i | ||||||||
\(587\) | −15.6788 | + | 27.1565i | −0.647134 | + | 1.12087i | 0.336671 | + | 0.941622i | \(0.390699\pi\) |
−0.983804 | + | 0.179246i | \(0.942634\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.67809 | + | 9.83474i | 0.233962 | + | 0.405234i | ||||
\(590\) | −8.81496 | + | 5.08932i | −0.362906 | + | 0.209524i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.482357 | + | 0.835467i | −0.0198248 | + | 0.0343375i | ||||
\(593\) | −9.12263 | −0.374621 | −0.187311 | − | 0.982301i | \(-0.559977\pi\) | ||||
−0.187311 | + | 0.982301i | \(0.559977\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.09927 | − | 5.25347i | −0.372721 | − | 0.215190i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.69828 | − | 4.44461i | 0.314806 | − | 0.181753i | ||||
\(599\) | 1.11316 | − | 0.642683i | 0.0454825 | − | 0.0262593i | −0.477086 | − | 0.878856i | \(-0.658307\pi\) |
0.522569 | + | 0.852597i | \(0.324974\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.7126 | − | 9.64903i | −0.681721 | − | 0.393592i | 0.118782 | − | 0.992920i | \(-0.462101\pi\) |
−0.800503 | + | 0.599328i | \(0.795434\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 23.1272 | 0.941031 | ||||||||
\(605\) | −5.61502 | + | 9.72551i | −0.228283 | + | 0.395398i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.7319 | − | 19.4751i | 1.36913 | − | 0.790470i | 0.378317 | − | 0.925676i | \(-0.376503\pi\) |
0.990817 | + | 0.135206i | \(0.0431697\pi\) | |||||||
\(608\) | 11.7269 | + | 20.3116i | 0.475589 | + | 0.823744i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.22429 | − | 2.12054i | 0.0495702 | − | 0.0858581i | ||||
\(611\) | 5.09968i | 0.206311i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.30036 | 0.294859 | 0.147429 | − | 0.989073i | \(-0.452900\pi\) | ||||
0.147429 | + | 0.989073i | \(0.452900\pi\) | |||||||
\(614\) | −3.09814 | + | 5.36613i | −0.125031 | + | 0.216560i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −38.3641 | + | 22.1495i | −1.54448 | + | 0.891706i | −0.545932 | + | 0.837829i | \(0.683824\pi\) |
−0.998548 | + | 0.0538763i | \(0.982842\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.408449 | − | 0.235818i | −0.0164169 | − | 0.00947832i | 0.491769 | − | 0.870726i | \(-0.336350\pi\) |
−0.508186 | + | 0.861247i | \(0.669684\pi\) | |||||||
\(620\) | 6.08135i | 0.244233i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 11.6659i | − | 0.467760i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.02013 | + | 1.76692i | 0.0408052 | + | 0.0706768i | ||||
\(626\) | 2.43348 | + | 4.21491i | 0.0972614 | + | 0.168462i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.68168 | + | 1.54827i | 0.107011 | + | 0.0617826i | ||||
\(629\) | −3.21558 | −0.128213 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.2247 | 0.407038 | 0.203519 | − | 0.979071i | \(-0.434762\pi\) | ||||
0.203519 | + | 0.979071i | \(0.434762\pi\) | |||||||
\(632\) | −26.9397 | − | 15.5536i | −1.07160 | − | 0.618691i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.88819 | − | 13.6627i | −0.313280 | − | 0.542617i | ||||
\(635\) | 0.637888 | + | 1.10485i | 0.0253138 | + | 0.0438448i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 12.6831i | − | 0.502127i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 14.9953i | 0.592743i | ||||||||
\(641\) | 43.4584 | + | 25.0907i | 1.71651 | + | 0.991025i | 0.925091 | + | 0.379745i | \(0.123988\pi\) |
0.791414 | + | 0.611280i | \(0.209345\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.18633 | − | 5.30373i | 0.362274 | − | 0.209159i | −0.307804 | − | 0.951450i | \(-0.599594\pi\) |
0.670078 | + | 0.742291i | \(0.266261\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.62524 | + | 9.74320i | −0.221322 | + | 0.383341i | ||||
\(647\) | 29.8406 | 1.17315 | 0.586577 | − | 0.809894i | \(-0.300475\pi\) | ||||
0.586577 | + | 0.809894i | \(0.300475\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 17.6295i | − | 0.692018i | ||||||
\(650\) | −2.27461 | + | 3.93975i | −0.0892177 | + | 0.154530i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.29664 | − | 14.3702i | −0.324921 | − | 0.562780i | ||||
\(653\) | −30.5327 | + | 17.6281i | −1.19484 | + | 0.689839i | −0.959400 | − | 0.282050i | \(-0.908986\pi\) |
−0.235437 | + | 0.971890i | \(0.575652\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.15280 | + | 3.72877i | −0.0841170 | + | 0.145695i | ||||
\(656\) | −13.8374 | −0.540258 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −29.3751 | − | 16.9597i | −1.14429 | − | 0.660656i | −0.196801 | − | 0.980443i | \(-0.563055\pi\) |
−0.947489 | + | 0.319787i | \(0.896389\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.6550 | − | 7.88371i | 0.531117 | − | 0.306641i | −0.210354 | − | 0.977625i | \(-0.567462\pi\) |
0.741471 | + | 0.670985i | \(0.234128\pi\) | |||||||
\(662\) | −9.08270 | + | 5.24390i | −0.353009 | + | 0.203810i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 15.6423 | + | 9.03106i | 0.607037 | + | 0.350473i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 55.6678 | 2.15546 | ||||||||
\(668\) | −1.42598 | + | 2.46987i | −0.0551728 | + | 0.0955621i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.281619 | + | 0.162593i | −0.0108799 | + | 0.00628152i | ||||
\(671\) | 2.12048 | + | 3.67279i | 0.0818604 | + | 0.141786i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.35627 | + | 12.7414i | −0.283563 | + | 0.491146i | −0.972260 | − | 0.233904i | \(-0.924850\pi\) |
0.688696 | + | 0.725050i | \(0.258183\pi\) | |||||||
\(674\) | 23.3589i | 0.899751i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.2359 | 0.470612 | ||||||||
\(677\) | −1.99217 | + | 3.45054i | −0.0765654 | + | 0.132615i | −0.901766 | − | 0.432225i | \(-0.857729\pi\) |
0.825201 | + | 0.564840i | \(0.191062\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −12.2482 | + | 7.07152i | −0.469698 | + | 0.271181i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.16977 | + | 1.83007i | 0.121377 | + | 0.0700769i | ||||
\(683\) | 22.2640i | 0.851908i | 0.904745 | + | 0.425954i | \(0.140061\pi\) | ||||
−0.904745 | + | 0.425954i | \(0.859939\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.2238i | 0.658088i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.41356 | − | 7.64450i | −0.168265 | − | 0.291444i | ||||
\(689\) | 1.25498 | + | 2.17368i | 0.0478107 | + | 0.0828106i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 41.9003 | + | 24.1912i | 1.59396 | + | 0.920275i | 0.992618 | + | 0.121287i | \(0.0387020\pi\) |
0.601346 | + | 0.798989i | \(0.294631\pi\) | |||||||
\(692\) | 22.5987 | 0.859073 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −2.28882 | −0.0868824 | ||||||||
\(695\) | 15.0752 | + | 8.70365i | 0.571834 | + | 0.330148i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.0613 | − | 39.9433i | −0.873507 | − | 1.51296i | ||||
\(698\) | 2.68775 | + | 4.65533i | 0.101733 | + | 0.176207i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.3129i | 0.880514i | 0.897872 | + | 0.440257i | \(0.145113\pi\) | ||||
−0.897872 | + | 0.440257i | \(0.854887\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.30408i | 0.124616i | ||||||||
\(704\) | 2.89319 | + | 1.67038i | 0.109041 | + | 0.0629549i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.07830 | − | 4.08666i | 0.266395 | − | 0.153803i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.83884 | + | 15.3093i | −0.331949 | + | 0.574953i | −0.982894 | − | 0.184172i | \(-0.941040\pi\) |
0.650945 | + | 0.759125i | \(0.274373\pi\) | |||||||
\(710\) | −2.02648 | −0.0760526 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 26.4739i | 0.992150i | ||||||||
\(713\) | −8.03242 | + | 13.9126i | −0.300817 | + | 0.521030i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.84208 | + | 4.92263i | 0.106288 | + | 0.184096i | ||||
\(716\) | 0.444382 | − | 0.256564i | 0.0166073 | − | 0.00958824i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.98016 | + | 3.42974i | −0.0738990 | + | 0.127997i | ||||
\(719\) | 30.4205 | 1.13449 | 0.567246 | − | 0.823549i | \(-0.308009\pi\) | ||||
0.567246 | + | 0.823549i | \(0.308009\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −1.80570 | − | 1.04252i | −0.0672011 | − | 0.0387986i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.21171 | − | 2.43163i | 0.156527 | − | 0.0903708i | ||||
\(725\) | −24.6722 | + | 14.2445i | −0.916304 | + | 0.529028i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 38.5219 | + | 22.2406i | 1.42870 | + | 0.824859i | 0.997018 | − | 0.0771674i | \(-0.0245876\pi\) |
0.431680 | + | 0.902027i | \(0.357921\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.91515 | −0.107894 | ||||||||
\(731\) | 14.7112 | − | 25.4806i | 0.544114 | − | 0.942433i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.2270 | + | 22.6477i | −1.44888 | + | 0.836512i | −0.998415 | − | 0.0562818i | \(-0.982075\pi\) |
−0.450466 | + | 0.892794i | \(0.648742\pi\) | |||||||
\(734\) | 7.57755 | + | 13.1247i | 0.279692 | + | 0.484442i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.5893 | + | 28.7335i | −0.611489 | + | 1.05913i | ||||
\(737\) | − | 0.563225i | − | 0.0207466i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.6172 | 0.758416 | 0.379208 | − | 0.925311i | \(-0.376196\pi\) | ||||
0.379208 | + | 0.925311i | \(0.376196\pi\) | |||||||
\(740\) | −0.884684 | + | 1.53232i | −0.0325216 | + | 0.0563291i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.69885 | + | 4.44493i | −0.282443 | + | 0.163069i | −0.634529 | − | 0.772899i | \(-0.718806\pi\) |
0.352086 | + | 0.935968i | \(0.385473\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.87435 | − | 5.12361i | −0.325131 | − | 0.187714i | ||||
\(746\) | 11.0382i | 0.404137i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 10.4349i | − | 0.381538i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.5008 | + | 21.6521i | 0.456162 | + | 0.790095i | 0.998754 | − | 0.0499007i | \(-0.0158905\pi\) |
−0.542592 | + | 0.839996i | \(0.682557\pi\) | |||||||
\(752\) | −1.36963 | − | 2.37227i | −0.0499454 | − | 0.0865079i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 13.3037 | + | 7.68089i | 0.484492 | + | 0.279722i | ||||
\(755\) | 22.5555 | 0.820878 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −27.1262 | −0.985919 | −0.492959 | − | 0.870052i | \(-0.664085\pi\) | ||||
−0.492959 | + | 0.870052i | \(0.664085\pi\) | |||||||
\(758\) | 20.1282 | + | 11.6210i | 0.731089 | + | 0.422094i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.26616 | + | 12.5854i | 0.263571 | + | 0.456519i | ||||
\(761\) | −1.58366 | − | 2.74298i | −0.0574075 | − | 0.0994328i | 0.835893 | − | 0.548892i | \(-0.184950\pi\) |
−0.893301 | + | 0.449459i | \(0.851617\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 10.9703i | − | 0.396891i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 14.2446i | − | 0.514677i | ||||||
\(767\) | 18.4922 | + | 10.6765i | 0.667713 | + | 0.385504i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.48873 | − | 1.43687i | 0.0897460 | − | 0.0518149i | −0.454455 | − | 0.890770i | \(-0.650166\pi\) |
0.544201 | + | 0.838955i | \(0.316833\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −9.66868 | + | 16.7467i | −0.347984 | + | 0.602725i | ||||
\(773\) | 12.3136 | 0.442889 | 0.221444 | − | 0.975173i | \(-0.428923\pi\) | ||||
0.221444 | + | 0.975173i | \(0.428923\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 8.22149i | − | 0.295325i | ||||||
\(776\) | −19.4053 | + | 33.6110i | −0.696610 | + | 1.20656i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.83234 | − | 3.17371i | −0.0656926 | − | 0.113783i | ||||
\(779\) | −41.0426 | + | 23.6960i | −1.47051 | + | 0.848997i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.75494 | − | 3.03965i | 0.0627968 | − | 0.108767i | ||||
\(782\) | −15.9153 | −0.569130 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.61539 | + | 1.51000i | 0.0933473 | + | 0.0538941i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.30450 | − | 1.90785i | 0.117793 | − | 0.0680076i | −0.439946 | − | 0.898024i | \(-0.645002\pi\) |
0.557739 | + | 0.830017i | \(0.311669\pi\) | |||||||
\(788\) | −5.18056 | + | 2.99100i | −0.184550 | + | 0.106550i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.1923 | − | 6.46186i | −0.398203 | − | 0.229903i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.13668 | −0.182409 | ||||||||
\(794\) | 4.78022 | − | 8.27959i | 0.169644 | − | 0.293832i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.0904 | − | 12.1765i | 0.747528 | − | 0.431585i | ||||
\(797\) | −24.5682 | − | 42.5535i | −0.870252 | − | 1.50732i | −0.861736 | − | 0.507357i | \(-0.830623\pi\) |
−0.00851609 | − | 0.999964i | \(-0.502711\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.56524 | − | 7.90724i | 0.161507 | − | 0.279738i | ||||
\(800\) | − | 16.9798i | − | 0.600325i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.7548 | −0.415078 | ||||||||
\(803\) | 2.52453 | − | 4.37261i | 0.0890886 | − | 0.154306i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −3.83924 | + | 2.21659i | −0.135231 | + | 0.0780759i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.55146 | − | 4.93719i | −0.300839 | − | 0.173690i | ||||
\(809\) | − | 45.6024i | − | 1.60330i | −0.597796 | − | 0.801648i | \(-0.703957\pi\) | ||
0.597796 | − | 0.801648i | \(-0.296043\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 39.1391i | − | 1.37436i | −0.726488 | − | 0.687180i | \(-0.758849\pi\) | ||
0.726488 | − | 0.687180i | \(-0.241151\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.532458 | + | 0.922243i | 0.0186626 | + | 0.0323246i | ||||
\(815\) | −8.09155 | − | 14.0150i | −0.283435 | − | 0.490923i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −26.1819 | − | 15.1161i | −0.915988 | − | 0.528846i | ||||
\(818\) | 3.11476 | 0.108905 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −25.3789 | −0.886269 | ||||||||
\(821\) | 10.2976 | + | 5.94530i | 0.359387 | + | 0.207492i | 0.668812 | − | 0.743432i | \(-0.266803\pi\) |
−0.309425 | + | 0.950924i | \(0.600136\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.51195 | − | 2.61877i | −0.0527031 | − | 0.0912844i | 0.838470 | − | 0.544947i | \(-0.183450\pi\) |
−0.891173 | + | 0.453663i | \(0.850117\pi\) | |||||||
\(824\) | 5.19873 | + | 9.00446i | 0.181106 | + | 0.313685i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 15.2436i | − | 0.530071i | −0.964239 | − | 0.265035i | \(-0.914616\pi\) | ||
0.964239 | − | 0.265035i | \(-0.0853836\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 34.3299i | − | 1.19233i | −0.802863 | − | 0.596163i | \(-0.796691\pi\) | ||
0.802863 | − | 0.596163i | \(-0.203309\pi\) | |||||||
\(830\) | 6.49868 | + | 3.75201i | 0.225572 | + | 0.130234i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.50424 | + | 2.02317i | −0.121488 | + | 0.0701409i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.39073 | + | 2.40882i | −0.0481283 | + | 0.0833606i | ||||
\(836\) | −10.7221 | −0.370832 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 13.5201i | − | 0.467045i | ||||||
\(839\) | 6.16024 | − | 10.6698i | 0.212675 | − | 0.368364i | −0.739876 | − | 0.672744i | \(-0.765116\pi\) |
0.952551 | + | 0.304379i | \(0.0984491\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 33.6008 | + | 58.1983i | 1.15865 | + | 2.00684i | ||||
\(842\) | −1.13625 | + | 0.656012i | −0.0391576 | + | 0.0226077i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.91770 | + | 15.4459i | −0.306960 | + | 0.531670i | ||||
\(845\) | 11.9334 | 0.410523 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.16758 | − | 0.674104i | −0.0400949 | − | 0.0231488i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.05374 | − | 4.07248i | 0.241941 | − | 0.139685i | ||||
\(851\) | −4.04786 | + | 2.33703i | −0.138759 | + | 0.0801124i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.92537 | − | 2.26631i | −0.134402 | − | 0.0775971i | 0.431291 | − | 0.902213i | \(-0.358058\pi\) |
−0.565693 | + | 0.824616i | \(0.691391\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.1894 | −0.484985 | ||||||||
\(857\) | −16.1307 | + | 27.9392i | −0.551014 | + | 0.954384i | 0.447188 | + | 0.894440i | \(0.352426\pi\) |
−0.998202 | + | 0.0599442i | \(0.980908\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.2711 | − | 8.81675i | 0.521042 | − | 0.300824i | −0.216319 | − | 0.976323i | \(-0.569405\pi\) |
0.737361 | + | 0.675499i | \(0.236072\pi\) | |||||||
\(860\) | −8.09483 | − | 14.0207i | −0.276032 | − | 0.478101i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.16329 | − | 8.94307i | 0.175862 | − | 0.304602i | ||||
\(863\) | − | 30.4946i | − | 1.03805i | −0.854760 | − | 0.519023i | \(-0.826296\pi\) | ||
0.854760 | − | 0.519023i | \(-0.173704\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 22.0401 | 0.749385 | ||||||||
\(866\) | 0.797632 | − | 1.38154i | 0.0271046 | − | 0.0469466i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.3851 | − | 11.1920i | 0.657594 | − | 0.379662i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.590785 | + | 0.341090i | 0.0200180 | + | 0.0115574i | ||||
\(872\) | − | 30.0229i | − | 1.01670i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 16.3533i | 0.553160i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.40363 | − | 7.62730i | −0.148700 | − | 0.257556i | 0.782047 | − | 0.623219i | \(-0.214176\pi\) |
−0.930747 | + | 0.365663i | \(0.880842\pi\) | |||||||
\(878\) | 3.60693 | + | 6.24738i | 0.121728 | + | 0.210839i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.64417 | − | 1.52661i | −0.0891348 | − | 0.0514620i | ||||
\(881\) | 38.6776 | 1.30308 | 0.651540 | − | 0.758614i | \(-0.274123\pi\) | ||||
0.651540 | + | 0.758614i | \(0.274123\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 37.4489 | 1.26026 | 0.630128 | − | 0.776491i | \(-0.283002\pi\) | ||||
0.630128 | + | 0.776491i | \(0.283002\pi\) | |||||||
\(884\) | 10.9455 | + | 6.31940i | 0.368137 | + | 0.212544i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.98890 | − | 8.64103i | −0.167605 | − | 0.290301i | ||||
\(887\) | 13.7025 | + | 23.7335i | 0.460086 | + | 0.796892i | 0.998965 | − | 0.0454915i | \(-0.0144854\pi\) |
−0.538879 | + | 0.842383i | \(0.681152\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 10.9987i | 0.368679i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 39.0641i | 1.30796i | ||||||||
\(893\) | −8.12487 | − | 4.69090i | −0.271888 | − | 0.156975i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.433397 | − | 0.250222i | 0.0144869 | − | 0.00836400i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.79299 | + | 6.56965i | −0.126574 | + | 0.219232i | ||||
\(899\) | −27.7623 | −0.925923 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 4.49383i | − | 0.149711i | ||||||
\(902\) | −7.63729 | + | 13.2282i | −0.254294 | + | 0.440450i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.06971 | − | 15.7092i | −0.301654 | − | 0.522480i | ||||
\(905\) | 4.10760 | − | 2.37152i | 0.136541 | − | 0.0788321i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.8216 | − | 20.4757i | 0.392531 | − | 0.679883i | −0.600252 | − | 0.799811i | \(-0.704933\pi\) |
0.992783 | + | 0.119928i | \(0.0382663\pi\) | |||||||
\(908\) | −16.0419 | −0.532370 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 3.92249 | + | 2.26465i | 0.129958 | + | 0.0750313i | 0.563570 | − | 0.826069i | \(-0.309428\pi\) |
−0.433612 | + | 0.901100i | \(0.642761\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.2557 | + | 6.49851i | −0.372511 | + | 0.215069i | ||||
\(914\) | 3.18008 | − | 1.83602i | 0.105188 | − | 0.0607301i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 12.4643 | + | 7.19626i | 0.411832 | + | 0.237771i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −33.8298 | −1.11594 | −0.557971 | − | 0.829861i | \(-0.688420\pi\) | ||||
−0.557971 | + | 0.829861i | \(0.688420\pi\) | |||||||
\(920\) | −10.2789 | + | 17.8037i | −0.338887 | + | 0.586969i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −5.18323 | + | 2.99254i | −0.170700 | + | 0.0985540i | ||||
\(923\) | 2.12559 | + | 3.68164i | 0.0699648 | + | 0.121183i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.19602 | − | 2.07157i | 0.0393249 | − | 0.0681127i | ||||
\(926\) | − | 14.3838i | − | 0.472682i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −57.3371 | −1.88218 | ||||||||
\(929\) | −16.4582 | + | 28.5064i | −0.539976 | + | 0.935266i | 0.458928 | + | 0.888473i | \(0.348233\pi\) |
−0.998905 | + | 0.0467929i | \(0.985100\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −2.86305 | + | 1.65298i | −0.0937824 | + | 0.0541453i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 12.9236 | + | 7.46146i | 0.422874 | + | 0.244146i | ||||
\(935\) | − | 10.1770i | − | 0.332822i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 38.1057i | 1.24486i | 0.782676 | + | 0.622430i | \(0.213854\pi\) | ||||
−0.782676 | + | 0.622430i | \(0.786146\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.51202 | − | 4.35095i | −0.0819331 | − | 0.141912i | ||||
\(941\) | 9.93855 | + | 17.2141i | 0.323987 | + | 0.561163i | 0.981307 | − | 0.192449i | \(-0.0616431\pi\) |
−0.657319 | + | 0.753612i | \(0.728310\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −58.0603 | − | 33.5211i | −1.89070 | − | 1.09160i | ||||
\(944\) | −11.4696 | −0.373304 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.74394 | −0.316803 | ||||||||
\(947\) | 17.9696 | + | 10.3747i | 0.583933 | + | 0.337134i | 0.762695 | − | 0.646759i | \(-0.223876\pi\) |
−0.178762 | + | 0.983892i | \(0.557209\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.05772 | + | 5.29613i | 0.0992578 | + | 0.171919i | ||||
\(950\) | −4.18457 | − | 7.24789i | −0.135765 | − | 0.235152i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 12.8345i | − | 0.415751i | −0.978155 | − | 0.207876i | \(-0.933345\pi\) | ||
0.978155 | − | 0.207876i | \(-0.0666549\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 10.6991i | − | 0.346215i | ||||||
\(956\) | −23.7027 | − | 13.6848i | −0.766602 | − | 0.442598i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 19.9408 | − | 11.5128i | 0.644258 | − | 0.371962i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.4941 | + | 19.9084i | −0.370778 | + | 0.642207i | ||||
\(962\) | −1.28983 | −0.0415858 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 9.60570i | − | 0.309379i | ||||||
\(965\) | −9.42969 | + | 16.3327i | −0.303552 | + | 0.525768i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.8941 | − | 30.9936i | −0.575437 | − | 0.996685i | −0.995994 | − | 0.0894195i | \(-0.971499\pi\) |
0.420557 | − | 0.907266i | \(-0.361835\pi\) | |||||||
\(968\) | 16.8117 | − | 9.70625i | 0.540349 | − | 0.311971i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.06205 | + | 13.9639i | −0.258857 | + | 0.448353i | ||||
\(971\) | 29.0258 | 0.931481 | 0.465740 | − | 0.884921i | \(-0.345788\pi\) | ||||
0.465740 | + | 0.884921i | \(0.345788\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 14.7247 | + | 8.50130i | 0.471809 | + | 0.272399i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.38949 | − | 1.37957i | 0.0764856 | − | 0.0441590i | ||||
\(977\) | 7.73439 | − | 4.46545i | 0.247445 | − | 0.142862i | −0.371149 | − | 0.928573i | \(-0.621036\pi\) |
0.618594 | + | 0.785711i | \(0.287703\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.4977 | − | 9.52495i | −0.527268 | − | 0.304419i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.8258 | 0.409286 | ||||||||
\(983\) | −26.1346 | + | 45.2665i | −0.833566 | + | 1.44378i | 0.0616269 | + | 0.998099i | \(0.480371\pi\) |
−0.895193 | + | 0.445679i | \(0.852962\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.05250 | + | 2.91707i | −0.160986 | + | 0.0929454i | ||||
\(986\) | −13.7519 | − | 23.8190i | −0.437950 | − | 0.758552i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.49333 | − | 11.2468i | 0.206580 | − | 0.357807i | ||||
\(989\) | − | 42.7675i | − | 1.35993i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 43.8303 | 1.39232 | 0.696158 | − | 0.717889i | \(-0.254892\pi\) | ||||
0.696158 | + | 0.717889i | \(0.254892\pi\) | |||||||
\(992\) | 8.27329 | − | 14.3298i | 0.262677 | − | 0.454970i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 20.5690 | − | 11.8755i | 0.652082 | − | 0.376480i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.9689 | − | 22.4987i | −1.23416 | − | 0.712542i | −0.266264 | − | 0.963900i | \(-0.585789\pi\) |
−0.967894 | + | 0.251358i | \(0.919123\pi\) | |||||||
\(998\) | − | 16.6043i | − | 0.525600i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))