Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(362,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.s (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: | \(3.52140272914\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 374.6 | ||
Root | \(-1.29589 - 0.748185i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.374 |
Dual form | 441.2.s.c.362.6 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.97141 | + | 1.13819i | 1.39400 | + | 0.804825i | 0.993755 | − | 0.111585i | \(-0.0355926\pi\) |
0.400242 | + | 0.916409i | \(0.368926\pi\) | |||||||
\(3\) | 1.70316 | + | 0.315036i | 0.983320 | + | 0.181886i | ||||
\(4\) | 1.59097 | + | 2.75564i | 0.795486 | + | 1.37782i | ||||
\(5\) | −1.43429 | −0.641433 | −0.320716 | − | 0.947175i | \(-0.603924\pi\) | ||||
−0.320716 | + | 0.947175i | \(0.603924\pi\) | |||||||
\(6\) | 2.99905 | + | 2.55959i | 1.22436 | + | 1.04495i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.69056i | 0.951257i | ||||||||
\(9\) | 2.80150 | + | 1.07311i | 0.933835 | + | 0.357704i | ||||
\(10\) | −2.82757 | − | 1.63250i | −0.894156 | − | 0.516241i | ||||
\(11\) | 3.23490i | 0.975359i | 0.873023 | + | 0.487679i | \(0.162157\pi\) | ||||
−0.873023 | + | 0.487679i | \(0.837843\pi\) | |||||||
\(12\) | 1.84155 | + | 5.19451i | 0.531610 | + | 1.49953i | ||||
\(13\) | −4.43334 | − | 2.55959i | −1.22959 | − | 0.709903i | −0.262644 | − | 0.964893i | \(-0.584594\pi\) |
−0.966944 | + | 0.254990i | \(0.917928\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.44282 | − | 0.451852i | −0.630733 | − | 0.116668i | ||||
\(16\) | 0.119562 | − | 0.207087i | 0.0298904 | − | 0.0517717i | ||||
\(17\) | 0.545658 | − | 0.945107i | 0.132341 | − | 0.229222i | −0.792237 | − | 0.610213i | \(-0.791084\pi\) |
0.924579 | + | 0.380991i | \(0.124417\pi\) | |||||||
\(18\) | 4.30150 | + | 5.30420i | 1.01387 | + | 1.25021i | ||||
\(19\) | 3.88768 | − | 2.24456i | 0.891896 | − | 0.514936i | 0.0173336 | − | 0.999850i | \(-0.494482\pi\) |
0.874562 | + | 0.484914i | \(0.161149\pi\) | |||||||
\(20\) | −2.28191 | − | 3.95238i | −0.510251 | − | 0.883780i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.68194 | + | 6.37731i | −0.784993 | + | 1.35965i | ||||
\(23\) | − | 4.00844i | − | 0.835817i | −0.908489 | − | 0.417909i | \(-0.862763\pi\) | ||
0.908489 | − | 0.417909i | \(-0.137237\pi\) | |||||||
\(24\) | −0.847623 | + | 4.58246i | −0.173020 | + | 0.935390i | ||||
\(25\) | −2.94282 | −0.588564 | ||||||||
\(26\) | −5.82662 | − | 10.0920i | −1.14269 | − | 1.97921i | ||||
\(27\) | 4.43334 | + | 2.71026i | 0.853197 | + | 0.521589i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.02859 | − | 0.593857i | 0.191004 | − | 0.110276i | −0.401448 | − | 0.915882i | \(-0.631493\pi\) |
0.592453 | + | 0.805605i | \(0.298160\pi\) | |||||||
\(30\) | −4.30150 | − | 3.67119i | −0.785344 | − | 0.670264i | ||||
\(31\) | −3.24275 | + | 1.87220i | −0.582414 | + | 0.336257i | −0.762092 | − | 0.647468i | \(-0.775828\pi\) |
0.179678 | + | 0.983726i | \(0.442494\pi\) | |||||||
\(32\) | 5.13160 | − | 2.96273i | 0.907147 | − | 0.523742i | ||||
\(33\) | −1.01911 | + | 5.50955i | −0.177404 | + | 0.959089i | ||||
\(34\) | 2.15143 | − | 1.24213i | 0.368967 | − | 0.213023i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.50000 | + | 9.42724i | 0.250000 | + | 1.57121i | ||||
\(37\) | 0.119562 | + | 0.207087i | 0.0196558 | + | 0.0340449i | 0.875686 | − | 0.482881i | \(-0.160410\pi\) |
−0.856030 | + | 0.516926i | \(0.827076\pi\) | |||||||
\(38\) | 10.2190 | 1.65773 | ||||||||
\(39\) | −6.74433 | − | 5.75605i | −1.07996 | − | 0.921706i | ||||
\(40\) | − | 3.85904i | − | 0.610168i | ||||||
\(41\) | −3.71620 | + | 6.43664i | −0.580373 | + | 1.00523i | 0.415062 | + | 0.909793i | \(0.363760\pi\) |
−0.995435 | + | 0.0954418i | \(0.969574\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.82326 | − | 6.62208i | −0.583041 | − | 1.00986i | −0.995116 | − | 0.0987075i | \(-0.968529\pi\) |
0.412075 | − | 0.911150i | \(-0.364804\pi\) | |||||||
\(44\) | −8.91423 | + | 5.14663i | −1.34387 | + | 0.775884i | ||||
\(45\) | −4.01816 | − | 1.53915i | −0.598992 | − | 0.229443i | ||||
\(46\) | 4.56238 | − | 7.90228i | 0.672686 | − | 1.16513i | ||||
\(47\) | 2.11042 | − | 3.65536i | 0.307837 | − | 0.533189i | −0.670052 | − | 0.742314i | \(-0.733728\pi\) |
0.977889 | + | 0.209125i | \(0.0670615\pi\) | |||||||
\(48\) | 0.268872 | − | 0.315036i | 0.0388084 | − | 0.0454715i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.80150 | − | 3.34950i | −0.820457 | − | 0.473691i | ||||
\(51\) | 1.22708 | − | 1.43777i | 0.171826 | − | 0.201328i | ||||
\(52\) | − | 16.2889i | − | 2.25887i | ||||||
\(53\) | −6.07442 | − | 3.50707i | −0.834386 | − | 0.481733i | 0.0209662 | − | 0.999780i | \(-0.493326\pi\) |
−0.855352 | + | 0.518047i | \(0.826659\pi\) | |||||||
\(54\) | 5.65514 | + | 10.3890i | 0.769567 | + | 1.41377i | ||||
\(55\) | − | 4.63977i | − | 0.625627i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.32846 | − | 2.59808i | 0.970678 | − | 0.344124i | ||||
\(58\) | 2.70370 | 0.355013 | ||||||||
\(59\) | 4.73531 | + | 8.20179i | 0.616484 | + | 1.06778i | 0.990122 | + | 0.140208i | \(0.0447770\pi\) |
−0.373638 | + | 0.927575i | \(0.621890\pi\) | |||||||
\(60\) | −2.64132 | − | 7.45043i | −0.340992 | − | 0.961846i | ||||
\(61\) | −2.82757 | − | 1.63250i | −0.362033 | − | 0.209020i | 0.307939 | − | 0.951406i | \(-0.400361\pi\) |
−0.669972 | + | 0.742386i | \(0.733694\pi\) | |||||||
\(62\) | −8.52371 | −1.08251 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 13.0104 | 1.62630 | ||||||||
\(65\) | 6.35868 | + | 3.67119i | 0.788698 | + | 0.455355i | ||||
\(66\) | −8.28002 | + | 9.70164i | −1.01920 | + | 1.19419i | ||||
\(67\) | −0.330095 | − | 0.571741i | −0.0403275 | − | 0.0698493i | 0.845157 | − | 0.534518i | \(-0.179507\pi\) |
−0.885485 | + | 0.464669i | \(0.846173\pi\) | |||||||
\(68\) | 3.47250 | 0.421103 | ||||||||
\(69\) | 1.26280 | − | 6.82701i | 0.152023 | − | 0.821876i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.82347i | 0.453762i | 0.973922 | + | 0.226881i | \(0.0728529\pi\) | ||||
−0.973922 | + | 0.226881i | \(0.927147\pi\) | |||||||
\(72\) | −2.88727 | + | 7.53762i | −0.340269 | + | 0.888317i | ||||
\(73\) | −6.33127 | − | 3.65536i | −0.741020 | − | 0.427828i | 0.0814203 | − | 0.996680i | \(-0.474054\pi\) |
−0.822440 | + | 0.568852i | \(0.807388\pi\) | |||||||
\(74\) | 0.544337i | 0.0632779i | ||||||||
\(75\) | −5.01209 | − | 0.927093i | −0.578747 | − | 0.107052i | ||||
\(76\) | 12.3704 | + | 7.14205i | 1.41898 | + | 0.819249i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.74433 | − | 19.0239i | −0.763644 | − | 2.15403i | ||||
\(79\) | −1.83009 | + | 3.16982i | −0.205902 | + | 0.356632i | −0.950420 | − | 0.310970i | \(-0.899346\pi\) |
0.744518 | + | 0.667602i | \(0.232679\pi\) | |||||||
\(80\) | −0.171486 | + | 0.297022i | −0.0191727 | + | 0.0332081i | ||||
\(81\) | 6.69686 | + | 6.01266i | 0.744096 | + | 0.668073i | ||||
\(82\) | −14.6523 | + | 8.45951i | −1.61808 | + | 0.934196i | ||||
\(83\) | 5.45245 | + | 9.44392i | 0.598484 | + | 1.03660i | 0.993045 | + | 0.117735i | \(0.0375634\pi\) |
−0.394561 | + | 0.918870i | \(0.629103\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.782630 | + | 1.35556i | −0.0848882 | + | 0.147031i | ||||
\(86\) | − | 17.4064i | − | 1.87698i | ||||||
\(87\) | 1.93894 | − | 0.687390i | 0.207876 | − | 0.0736960i | ||||
\(88\) | −8.70370 | −0.927817 | ||||||||
\(89\) | 6.84573 | + | 11.8572i | 0.725646 | + | 1.25686i | 0.958708 | + | 0.284394i | \(0.0917923\pi\) |
−0.233061 | + | 0.972462i | \(0.574874\pi\) | |||||||
\(90\) | −6.16959 | − | 7.60775i | −0.650332 | − | 0.801927i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 11.0458 | − | 6.37731i | 1.15161 | − | 0.664881i | ||||
\(93\) | −6.11273 | + | 2.16708i | −0.633860 | + | 0.224715i | ||||
\(94\) | 8.32102 | − | 4.80415i | 0.858248 | − | 0.495510i | ||||
\(95\) | −5.57605 | + | 3.21934i | −0.572091 | + | 0.330297i | ||||
\(96\) | 9.67330 | − | 3.42937i | 0.987277 | − | 0.350008i | ||||
\(97\) | −2.69709 | + | 1.55716i | −0.273848 | + | 0.158106i | −0.630635 | − | 0.776080i | \(-0.717205\pi\) |
0.356787 | + | 0.934186i | \(0.383872\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.47141 | + | 9.06259i | −0.348890 | + | 0.910824i | ||||
\(100\) | −4.68194 | − | 8.10936i | −0.468194 | − | 0.810936i | ||||
\(101\) | 7.08942 | 0.705424 | 0.352712 | − | 0.935732i | \(-0.385260\pi\) | ||||
0.352712 | + | 0.935732i | \(0.385260\pi\) | |||||||
\(102\) | 4.05555 | − | 1.43777i | 0.401559 | − | 0.142360i | ||||
\(103\) | 1.70352i | 0.167853i | 0.996472 | + | 0.0839265i | \(0.0267461\pi\) | ||||
−0.996472 | + | 0.0839265i | \(0.973254\pi\) | |||||||
\(104\) | 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 | \(0.410016\pi\) | |||||||
\(108\) | −0.415178 | + | 16.5286i | −0.0399506 | + | 1.59047i | ||||
\(109\) | −4.06922 | + | 7.04809i | −0.389760 | + | 0.675085i | −0.992417 | − | 0.122916i | \(-0.960776\pi\) |
0.602657 | + | 0.798001i | \(0.294109\pi\) | |||||||
\(110\) | 5.28096 | − | 9.14690i | 0.503520 | − | 0.872123i | ||||
\(111\) | 0.138393 | + | 0.390368i | 0.0131357 | + | 0.0370521i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.39699 | − | 1.96125i | −0.319562 | − | 0.184499i | 0.331635 | − | 0.943408i | \(-0.392400\pi\) |
−0.651197 | + | 0.758908i | \(0.725733\pi\) | |||||||
\(114\) | 17.4045 | + | 3.21934i | 1.63008 | + | 0.301519i | ||||
\(115\) | 5.74925i | 0.536121i | ||||||||
\(116\) | 3.27292 | + | 1.88962i | 0.303883 | + | 0.175447i | ||||
\(117\) | −9.67330 | − | 11.9282i | −0.894297 | − | 1.10276i | ||||
\(118\) | 21.5588i | 1.98465i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.21574 | − | 6.57256i | 0.110981 | − | 0.599990i | ||||
\(121\) | 0.535426 | 0.0486751 | ||||||||
\(122\) | −3.71620 | − | 6.43664i | −0.336449 | − | 0.582746i | ||||
\(123\) | −8.35705 | + | 9.79190i | −0.753530 | + | 0.882905i | ||||
\(124\) | −10.3182 | − | 5.95724i | −0.926605 | − | 0.534976i | ||||
\(125\) | 11.3923 | 1.01896 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.16827 | 0.547345 | 0.273673 | − | 0.961823i | \(-0.411761\pi\) | ||||
0.273673 | + | 0.961823i | \(0.411761\pi\) | |||||||
\(128\) | 15.3856 | + | 8.88290i | 1.35991 | + | 0.785145i | ||||
\(129\) | −4.42543 | − | 12.4829i | −0.389637 | − | 1.09906i | ||||
\(130\) | 8.35705 | + | 14.4748i | 0.732962 | + | 1.26953i | ||||
\(131\) | 8.26275 | 0.721920 | 0.360960 | − | 0.932581i | \(-0.382449\pi\) | ||||
0.360960 | + | 0.932581i | \(0.382449\pi\) | |||||||
\(132\) | −16.8037 | + | 5.95724i | −1.46258 | + | 0.518511i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 1.50285i | − | 0.129826i | ||||||
\(135\) | −6.35868 | − | 3.88728i | −0.547268 | − | 0.334564i | ||||
\(136\) | 2.54287 | + | 1.46813i | 0.218049 | + | 0.125891i | ||||
\(137\) | − | 10.3481i | − | 0.884096i | −0.896991 | − | 0.442048i | \(-0.854252\pi\) | ||
0.896991 | − | 0.442048i | \(-0.145748\pi\) | |||||||
\(138\) | 10.2600 | − | 12.0215i | 0.873386 | − | 1.02334i | ||||
\(139\) | −15.4589 | − | 8.92521i | −1.31121 | − | 0.757026i | −0.328912 | − | 0.944361i | \(-0.606682\pi\) |
−0.982296 | + | 0.187334i | \(0.940015\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.74596 | − | 5.56081i | 0.399682 | − | 0.468304i | ||||
\(142\) | −4.35185 | + | 7.53762i | −0.365199 | + | 0.632543i | ||||
\(143\) | 8.28002 | − | 14.3414i | 0.692410 | − | 1.19929i | ||||
\(144\) | 0.557180 | − | 0.451852i | 0.0464317 | − | 0.0376543i | ||||
\(145\) | −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 | ||||
\(149\) | 17.5235i | 1.43558i | 0.696259 | + | 0.717790i | \(0.254846\pi\) | ||||
−0.696259 | + | 0.717790i | \(0.745154\pi\) | |||||||
\(150\) | −8.82568 | − | 7.53242i | −0.720613 | − | 0.615019i | ||||
\(151\) | 1.10069 | 0.0895726 | 0.0447863 | − | 0.998997i | \(-0.485739\pi\) | ||||
0.0447863 | + | 0.998997i | \(0.485739\pi\) | |||||||
\(152\) | 6.03911 | + | 10.4601i | 0.489837 | + | 0.848422i | ||||
\(153\) | 2.54287 | − | 2.06217i | 0.205579 | − | 0.166717i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.65103 | − | 2.68527i | 0.373580 | − | 0.215686i | ||||
\(156\) | 5.13160 | − | 27.7427i | 0.410857 | − | 2.22119i | ||||
\(157\) | −8.45150 | + | 4.87948i | −0.674503 | + | 0.389425i | −0.797781 | − | 0.602947i | \(-0.793993\pi\) |
0.123277 | + | 0.992372i | \(0.460660\pi\) | |||||||
\(158\) | −7.21574 | + | 4.16601i | −0.574053 | + | 0.331430i | ||||
\(159\) | −9.24085 | − | 7.88676i | −0.732847 | − | 0.625460i | ||||
\(160\) | −7.36019 | + | 4.24941i | −0.581874 | + | 0.335945i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 6.35868 | + | 19.4757i | 0.499585 | + | 1.53016i | ||||
\(163\) | 3.61273 | + | 6.25742i | 0.282970 | + | 0.490119i | 0.972115 | − | 0.234505i | \(-0.0753468\pi\) |
−0.689145 | + | 0.724624i | \(0.742013\pi\) | |||||||
\(164\) | −23.6495 | −1.84671 | ||||||||
\(165\) | 1.46169 | − | 7.90228i | 0.113793 | − | 0.615191i | ||||
\(166\) | 24.8238i | 1.92670i | ||||||||
\(167\) | 8.65419 | − | 14.9895i | 0.669681 | − | 1.15992i | −0.308312 | − | 0.951285i | \(-0.599764\pi\) |
0.977993 | − | 0.208637i | \(-0.0669027\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.60301 | + | 11.4367i | 0.507924 | + | 0.879750i | ||||
\(170\) | −3.08577 | + | 1.78157i | −0.236668 | + | 0.136640i | ||||
\(171\) | 13.3000 | − | 2.11621i | 1.01708 | − | 0.161831i | ||||
\(172\) | 12.1654 | − | 21.0711i | 0.927602 | − | 1.60665i | ||||
\(173\) | −0.978103 | + | 1.69412i | −0.0743638 | + | 0.128802i | −0.900809 | − | 0.434215i | \(-0.857026\pi\) |
0.826446 | + | 0.563017i | \(0.190359\pi\) | |||||||
\(174\) | 4.60483 | + | 0.851761i | 0.349091 | + | 0.0645718i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.669905 | + | 0.386770i | 0.0504960 | + | 0.0291539i | ||||
\(177\) | 5.48113 | + | 15.4608i | 0.411987 | + | 1.16210i | ||||
\(178\) | 31.1671i | 2.33607i | ||||||||
\(179\) | 20.0933 | + | 11.6009i | 1.50184 | + | 0.867090i | 0.999998 | + | 0.00213247i | \(0.000678788\pi\) |
0.501846 | + | 0.864957i | \(0.332655\pi\) | |||||||
\(180\) | −2.15143 | − | 13.5214i | −0.160358 | − | 1.00782i | ||||
\(181\) | − | 10.2744i | − | 0.763689i | −0.924226 | − | 0.381845i | \(-0.875289\pi\) | ||
0.924226 | − | 0.381845i | \(-0.124711\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.30150 | − | 3.67119i | −0.317976 | − | 0.271382i | ||||
\(184\) | 10.7850 | 0.795077 | ||||||||
\(185\) | −0.171486 | − | 0.297022i | −0.0126079 | − | 0.0218375i | ||||
\(186\) | −14.5172 | − | 2.68527i | −1.06446 | − | 0.196894i | ||||
\(187\) | 3.05733 | + | 1.76515i | 0.223574 | + | 0.129080i | ||||
\(188\) | 13.4305 | 0.979520 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.6569 | −1.06332 | ||||||||
\(191\) | −19.6758 | − | 11.3598i | −1.42369 | − | 0.821968i | −0.427079 | − | 0.904215i | \(-0.640457\pi\) |
−0.996612 | + | 0.0822464i | \(0.973791\pi\) | |||||||
\(192\) | 22.1588 | + | 4.09874i | 1.59917 | + | 0.295801i | ||||
\(193\) | −8.43598 | − | 14.6116i | −0.607235 | − | 1.05176i | −0.991694 | − | 0.128620i | \(-0.958945\pi\) |
0.384459 | − | 0.923142i | \(-0.374388\pi\) | |||||||
\(194\) | −7.08942 | −0.508991 | ||||||||
\(195\) | 9.67330 | + | 8.25583i | 0.692719 | + | 0.591212i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.94426i | 0.637252i | 0.947880 | + | 0.318626i | \(0.103221\pi\) | ||||
−0.947880 | + | 0.318626i | \(0.896779\pi\) | |||||||
\(198\) | −17.1586 | + | 13.9149i | −1.21941 | + | 0.988891i | ||||
\(199\) | 5.01020 | + | 2.89264i | 0.355164 | + | 0.205054i | 0.666957 | − | 0.745096i | \(-0.267596\pi\) |
−0.311794 | + | 0.950150i | \(0.600930\pi\) | |||||||
\(200\) | − | 7.91784i | − | 0.559876i | ||||||
\(201\) | −0.382085 | − | 1.07776i | −0.0269502 | − | 0.0760192i | ||||
\(202\) | 13.9762 | + | 8.06914i | 0.983359 | + | 0.567743i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 5.91423 | + | 1.09396i | 0.414079 | + | 0.0765927i | ||||
\(205\) | 5.33009 | − | 9.23200i | 0.372270 | − | 0.644791i | ||||
\(206\) | −1.93894 | + | 3.35834i | −0.135092 | + | 0.233987i | ||||
\(207\) | 4.30150 | − | 11.2297i | 0.298975 | − | 0.780515i | ||||
\(208\) | −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 | −0.0527186 | + | 0.998609i | \(0.516789\pi\) |
−0.838462 | + | 0.544960i | \(0.816545\pi\) | |||||||
\(212\) | − | 22.3186i | − | 1.53285i | ||||||
\(213\) | −1.20453 | + | 6.51198i | −0.0825330 | + | 0.446193i | ||||
\(214\) | −11.2359 | −0.768067 | ||||||||
\(215\) | 5.48365 | + | 9.49796i | 0.373982 | + | 0.647756i | ||||
\(216\) | −7.29211 | + | 11.9282i | −0.496165 | + | 0.811610i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −16.0442 | + | 9.26312i | −1.08665 | + | 0.627378i | ||||
\(219\) | −9.63160 | − | 8.22024i | −0.650843 | − | 0.555473i | ||||
\(220\) | 12.7856 | − | 7.38175i | 0.862003 | − | 0.497678i | ||||
\(221\) | −4.83818 | + | 2.79332i | −0.325451 | + | 0.187899i | ||||
\(222\) | −0.171486 | + | 0.927093i | −0.0115094 | + | 0.0622224i | ||||
\(223\) | −15.4827 | + | 8.93892i | −1.03680 | + | 0.598594i | −0.918924 | − | 0.394435i | \(-0.870940\pi\) |
−0.117871 | + | 0.993029i | \(0.537607\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.24433 | − | 3.15798i | −0.549622 | − | 0.210532i | ||||
\(226\) | −4.46457 | − | 7.73287i | −0.296979 | − | 0.514383i | ||||
\(227\) | −10.9673 | −0.727925 | −0.363963 | − | 0.931414i | \(-0.618576\pi\) | ||||
−0.363963 | + | 0.931414i | \(0.618576\pi\) | |||||||
\(228\) | 18.8187 | + | 16.0612i | 1.24630 | + | 1.06368i | ||||
\(229\) | − | 19.4393i | − | 1.28459i | −0.766459 | − | 0.642293i | \(-0.777983\pi\) | ||
0.766459 | − | 0.642293i | \(-0.222017\pi\) | |||||||
\(230\) | −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 | \(0.364038\pi\) | |||||||
\(234\) | −5.49346 | − | 34.5254i | −0.359118 | − | 2.25700i | ||||
\(235\) | −3.02696 | + | 5.24284i | −0.197457 | + | 0.342005i | ||||
\(236\) | −15.0675 | + | 26.0976i | −0.980809 | + | 1.69881i | ||||
\(237\) | −4.11555 | + | 4.82216i | −0.267334 | + | 0.313233i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.7255 | − | 6.19234i | −0.693772 | − | 0.400549i | 0.111252 | − | 0.993792i | \(-0.464514\pi\) |
−0.805023 | + | 0.593243i | \(0.797847\pi\) | |||||||
\(240\) | −0.385640 | + | 0.451852i | −0.0248930 | + | 0.0291669i | ||||
\(241\) | − | 13.5034i | − | 0.869828i | −0.900472 | − | 0.434914i | \(-0.856779\pi\) | ||
0.900472 | − | 0.434914i | \(-0.143221\pi\) | |||||||
\(242\) | 1.05555 | + | 0.609419i | 0.0678530 | + | 0.0391750i | ||||
\(243\) | 9.51162 | + | 12.3503i | 0.610171 | + | 0.792270i | ||||
\(244\) | − | 10.3890i | − | 0.665089i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.6202 | + | 9.79190i | −1.76100 | + | 0.624308i | ||||
\(247\) | −22.9806 | −1.46222 | ||||||||
\(248\) | −5.03727 | − | 8.72481i | −0.319867 | − | 0.554026i | ||||
\(249\) | 6.31122 | + | 17.8022i | 0.399957 | + | 1.12817i | ||||
\(250\) | 22.4589 | + | 12.9666i | 1.42042 | + | 0.820082i | ||||
\(251\) | −7.51441 | −0.474305 | −0.237153 | − | 0.971472i | \(-0.576214\pi\) | ||||
−0.237153 | + | 0.971472i | \(0.576214\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.9669 | 0.815222 | ||||||||
\(254\) | 12.1602 | + | 7.02069i | 0.762998 | + | 0.440517i | ||||
\(255\) | −1.75999 | + | 2.06217i | −0.110215 | + | 0.129138i | ||||
\(256\) | 7.21053 | + | 12.4890i | 0.450658 | + | 0.780563i | ||||
\(257\) | 7.75576 | 0.483791 | 0.241895 | − | 0.970302i | \(-0.422231\pi\) | ||||
0.241895 | + | 0.970302i | \(0.422231\pi\) | |||||||
\(258\) | 5.48365 | − | 29.6459i | 0.341397 | − | 1.84568i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 23.3630i | 1.44891i | ||||||||
\(261\) | 3.51887 | − | 0.559900i | 0.217813 | − | 0.0346569i | ||||
\(262\) | 16.2893 | + | 9.40462i | 1.00635 | + | 0.581019i | ||||
\(263\) | − | 13.9866i | − | 0.862449i | −0.902245 | − | 0.431224i | \(-0.858082\pi\) | ||
0.902245 | − | 0.431224i | \(-0.141918\pi\) | |||||||
\(264\) | −14.8238 | − | 2.74198i | −0.912341 | − | 0.168757i | ||||
\(265\) | 8.71246 | + | 5.03014i | 0.535202 | + | 0.308999i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.92395 | + | 22.3513i | 0.484938 | + | 1.36788i | ||||
\(268\) | 1.05034 | − | 1.81925i | 0.0641599 | − | 0.111128i | ||||
\(269\) | −12.9160 | + | 22.3712i | −0.787505 | + | 1.36400i | 0.139986 | + | 0.990154i | \(0.455294\pi\) |
−0.927491 | + | 0.373846i | \(0.878039\pi\) | |||||||
\(270\) | −8.11109 | − | 14.9009i | −0.493625 | − | 0.906837i | ||||
\(271\) | 14.4225 | − | 8.32686i | 0.876107 | − | 0.505821i | 0.00673411 | − | 0.999977i | \(-0.497856\pi\) |
0.869373 | + | 0.494157i | \(0.164523\pi\) | |||||||
\(272\) | −0.130480 | − | 0.225997i | −0.00791148 | − | 0.0137031i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.7781 | − | 20.4003i | 0.711542 | − | 1.23243i | ||||
\(275\) | − | 9.51973i | − | 0.574061i | ||||||
\(276\) | 20.8219 | − | 7.38175i | 1.25333 | − | 0.444329i | ||||
\(277\) | 31.4088 | 1.88717 | 0.943585 | − | 0.331130i | \(-0.107430\pi\) | ||||
0.943585 | + | 0.331130i | \(0.107430\pi\) | |||||||
\(278\) | −20.3172 | − | 35.1905i | −1.21855 | − | 2.11059i | ||||
\(279\) | −11.0937 | + | 1.76515i | −0.664160 | + | 0.105677i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.10464 | − | 4.67922i | 0.483483 | − | 0.279139i | −0.238384 | − | 0.971171i | \(-0.576618\pi\) |
0.721867 | + | 0.692032i | \(0.243284\pi\) | |||||||
\(282\) | 15.6855 | − | 5.56081i | 0.934059 | − | 0.331141i | ||||
\(283\) | −13.6603 | + | 7.88676i | −0.812018 | + | 0.468819i | −0.847656 | − | 0.530546i | \(-0.821987\pi\) |
0.0356380 | + | 0.999365i | \(0.488654\pi\) | |||||||
\(284\) | −10.5361 | + | 6.08303i | −0.625203 | + | 0.360961i | ||||
\(285\) | −10.5111 | + | 3.72639i | −0.622625 | + | 0.220732i | ||||
\(286\) | 32.6466 | − | 18.8485i | 1.93044 | − | 1.11454i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 17.5555 | − | 2.79332i | 1.03447 | − | 0.164598i | ||||
\(289\) | 7.90451 | + | 13.6910i | 0.464971 | + | 0.805354i | ||||
\(290\) | −3.87788 | −0.227717 | ||||||||
\(291\) | −5.08414 | + | 1.80242i | −0.298037 | + | 0.105660i | ||||
\(292\) | − | 23.2623i | − | 1.36132i | ||||||
\(293\) | −12.4287 | + | 21.5271i | −0.726090 | + | 1.25762i | 0.232434 | + | 0.972612i | \(0.425331\pi\) |
−0.958524 | + | 0.285013i | \(0.908002\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.79179 | − | 11.7637i | −0.395433 | − | 0.684911i | ||||
\(296\) | −0.557180 | + | 0.321688i | −0.0323854 | + | 0.0186977i | ||||
\(297\) | −8.76740 | + | 14.3414i | −0.508736 | + | 0.832173i | ||||
\(298\) | −19.9451 | + | 34.5460i | −1.15539 | + | 2.00120i | ||||
\(299\) | −10.2600 | + | 17.7708i | −0.593349 | + | 1.02771i | ||||
\(300\) | −5.41936 | − | 15.2865i | −0.312887 | − | 0.882568i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.16991 | + | 1.25280i | 0.124864 | + | 0.0720903i | ||||
\(303\) | 12.0744 | + | 2.23342i | 0.693657 | + | 0.128307i | ||||
\(304\) | − | 1.07345i | − | 0.0615666i | ||||||
\(305\) | 4.05555 | + | 2.34147i | 0.232220 | + | 0.134072i | ||||
\(306\) | 7.36019 | − | 1.17110i | 0.420754 | − | 0.0669476i | ||||
\(307\) | − | 18.8878i | − | 1.07799i | −0.842310 | − | 0.538993i | \(-0.818805\pi\) | ||
0.842310 | − | 0.538993i | \(-0.181195\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.536670 | + | 2.90137i | −0.0305301 | + | 0.165053i | ||||
\(310\) | 12.2255 | 0.694359 | ||||||||
\(311\) | −3.97716 | − | 6.88864i | −0.225524 | − | 0.390619i | 0.730953 | − | 0.682428i | \(-0.239076\pi\) |
−0.956476 | + | 0.291809i | \(0.905743\pi\) | |||||||
\(312\) | 15.4870 | − | 18.1460i | 0.876780 | − | 1.02732i | ||||
\(313\) | 9.64210 | + | 5.56687i | 0.545004 | + | 0.314658i | 0.747104 | − | 0.664707i | \(-0.231444\pi\) |
−0.202101 | + | 0.979365i | \(0.564777\pi\) | |||||||
\(314\) | −22.2152 | −1.25367 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6465 | −0.655168 | ||||||||
\(317\) | 20.1380 | + | 11.6267i | 1.13107 | + | 0.653021i | 0.944203 | − | 0.329365i | \(-0.106835\pi\) |
0.186863 | + | 0.982386i | \(0.440168\pi\) | |||||||
\(318\) | −9.24085 | − | 26.0659i | −0.518201 | − | 1.46170i | ||||
\(319\) | 1.92107 | + | 3.32738i | 0.107559 | + | 0.186298i | ||||
\(320\) | −18.6607 | −1.04316 | ||||||||
\(321\) | −8.05772 | + | 2.85661i | −0.449738 | + | 0.159441i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 4.89904i | − | 0.272590i | ||||||
\(324\) | −5.91423 | + | 28.0201i | −0.328568 | + | 1.55667i | ||||
\(325\) | 13.0465 | + | 7.53242i | 0.723691 | + | 0.417823i | ||||
\(326\) | 16.4479i | 0.910967i | ||||||||
\(327\) | −9.15093 | + | 10.7221i | −0.506048 | + | 0.592932i | ||||
\(328\) | −17.3182 | − | 9.99866i | −0.956237 | − | 0.552084i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 11.8759 | − | 13.9149i | 0.653748 | − | 0.765992i | ||||
\(331\) | 9.57962 | − | 16.5924i | 0.526544 | − | 0.912000i | −0.472978 | − | 0.881074i | \(-0.656821\pi\) |
0.999522 | − | 0.0309261i | \(-0.00984566\pi\) | |||||||
\(332\) | −17.3494 | + | 30.0500i | −0.952171 | + | 1.64921i | ||||
\(333\) | 0.112725 | + | 0.708458i | 0.00617730 | + | 0.0388233i | ||||
\(334\) | 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 | −0.155441 | − | 0.987845i | \(-0.549680\pi\) |
0.933219 | − | 0.359307i | \(-0.116987\pi\) | |||||||
\(338\) | 30.0620i | 1.63516i | ||||||||
\(339\) | −5.16775 | − | 4.41050i | −0.280674 | − | 0.239545i | ||||
\(340\) | −4.98057 | −0.270109 | ||||||||
\(341\) | −6.05638 | − | 10.4900i | −0.327971 | − | 0.568063i | ||||
\(342\) | 28.6285 | + | 10.9661i | 1.54805 | + | 0.592978i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 17.8171 | − | 10.2867i | 0.960634 | − | 0.554622i | ||||
\(345\) | −1.81122 | + | 9.79190i | −0.0975128 | + | 0.527178i | ||||
\(346\) | −3.85648 | + | 2.22654i | −0.207326 | + | 0.119700i | ||||
\(347\) | −2.56690 | + | 1.48200i | −0.137798 | + | 0.0795578i | −0.567314 | − | 0.823501i | \(-0.692017\pi\) |
0.429516 | + | 0.903059i | \(0.358684\pi\) | |||||||
\(348\) | 4.97900 | + | 4.24941i | 0.266902 | + | 0.227792i | ||||
\(349\) | 23.3885 | − | 13.5034i | 1.25196 | − | 0.722818i | 0.280460 | − | 0.959866i | \(-0.409513\pi\) |
0.971498 | + | 0.237048i | \(0.0761797\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.7174 | − | 23.3630i | −0.678803 | − | 1.24703i | ||||
\(352\) | 9.58414 | + | 16.6002i | 0.510836 | + | 0.884794i | ||||
\(353\) | 29.6476 | 1.57798 | 0.788990 | − | 0.614405i | \(-0.210604\pi\) | ||||
0.788990 | + | 0.614405i | \(0.210604\pi\) | |||||||
\(354\) | −6.79179 | + | 36.7181i | −0.360980 | + | 1.95154i | ||||
\(355\) | − | 5.48395i | − | 0.291058i | ||||||
\(356\) | −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 | \(0.108162\pi\) | |||||||
\(360\) | 4.14118 | − | 10.8111i | 0.218259 | − | 0.569796i | ||||
\(361\) | 0.576055 | − | 0.997756i | 0.0303187 | − | 0.0525135i | ||||
\(362\) | 11.6943 | − | 20.2550i | 0.614636 | − | 1.06458i | ||||
\(363\) | 0.911917 | + | 0.168678i | 0.0478632 | + | 0.00885332i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 9.08087 | + | 5.24284i | 0.475314 | + | 0.274423i | ||||
\(366\) | −4.30150 | − | 12.1334i | −0.224843 | − | 0.634221i | ||||
\(367\) | 5.60720i | 0.292694i | 0.989233 | + | 0.146347i | \(0.0467515\pi\) | ||||
−0.989233 | + | 0.146347i | \(0.953248\pi\) | |||||||
\(368\) | −0.830095 | − | 0.479256i | −0.0432717 | − | 0.0249829i | ||||
\(369\) | −17.3182 | + | 14.0444i | −0.901549 | + | 0.731122i | ||||
\(370\) | − | 0.780736i | − | 0.0405885i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −15.6969 | − | 13.3967i | −0.813844 | − | 0.694588i | ||||
\(373\) | −3.73353 | −0.193315 | −0.0966574 | − | 0.995318i | \(-0.530815\pi\) | ||||
−0.0966574 | + | 0.995318i | \(0.530815\pi\) | |||||||
\(374\) | 4.01816 | + | 6.95966i | 0.207774 | + | 0.359876i | ||||
\(375\) | 19.4029 | + | 3.58898i | 1.00196 | + | 0.185334i | ||||
\(376\) | 9.83498 | + | 5.67823i | 0.507200 | + | 0.292832i | ||||
\(377\) | −6.08012 | −0.313142 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.4419 | −1.56369 | −0.781847 | − | 0.623470i | \(-0.785722\pi\) | ||||
−0.781847 | + | 0.623470i | \(0.785722\pi\) | |||||||
\(380\) | −17.7427 | − | 10.2437i | −0.910181 | − | 0.525493i | ||||
\(381\) | 10.5055 | + | 1.94323i | 0.538216 | + | 0.0995545i | ||||
\(382\) | −25.8594 | − | 44.7897i | −1.32308 | − | 2.29164i | ||||
\(383\) | −16.9850 | −0.867894 | −0.433947 | − | 0.900938i | \(-0.642879\pi\) | ||||
−0.433947 | + | 0.900938i | \(0.642879\pi\) | |||||||
\(384\) | 23.4058 | + | 19.9760i | 1.19442 | + | 1.01940i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 38.4071i | − | 1.95487i | ||||||
\(387\) | −3.60464 | − | 22.6546i | −0.183234 | − | 1.15160i | ||||
\(388\) | −8.58198 | − | 4.95481i | −0.435684 | − | 0.251542i | ||||
\(389\) | 10.8924i | 0.552267i | 0.961119 | + | 0.276134i | \(0.0890532\pi\) | ||||
−0.961119 | + | 0.276134i | \(0.910947\pi\) | |||||||
\(390\) | 9.67330 | + | 27.2857i | 0.489827 | + | 1.38167i | ||||
\(391\) | −3.78840 | − | 2.18724i | −0.191588 | − | 0.110613i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.0728 | + | 2.60306i | 0.709878 | + | 0.131307i | ||||
\(394\) | −10.1803 | + | 17.6328i | −0.512877 | + | 0.888328i | ||||
\(395\) | 2.62488 | − | 4.54643i | 0.132072 | − | 0.228756i | ||||
\(396\) | −30.4962 | + | 4.85235i | −1.53249 | + | 0.243840i | ||||
\(397\) | 19.3154 | − | 11.1518i | 0.969412 | − | 0.559690i | 0.0703551 | − | 0.997522i | \(-0.477587\pi\) |
0.899057 | + | 0.437832i | \(0.144253\pi\) | |||||||
\(398\) | 6.58477 | + | 11.4052i | 0.330065 | + | 0.571689i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.351848 | + | 0.609419i | −0.0175924 | + | 0.0304710i | ||||
\(401\) | − | 24.0818i | − | 1.20259i | −0.799029 | − | 0.601293i | \(-0.794653\pi\) | ||
0.799029 | − | 0.601293i | \(-0.205347\pi\) | |||||||
\(402\) | 0.473451 | − | 2.55959i | 0.0236136 | − | 0.127661i | ||||
\(403\) | 19.1683 | 0.954840 | ||||||||
\(404\) | 11.2791 | + | 19.5359i | 0.561155 | + | 0.971949i | ||||
\(405\) | −9.60522 | − | 8.62388i | −0.477287 | − | 0.428524i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.669905 | + | 0.386770i | −0.0332060 | + | 0.0191715i | ||||
\(408\) | 3.86840 | + | 3.30155i | 0.191514 | + | 0.163451i | ||||
\(409\) | 22.8191 | − | 13.1746i | 1.12833 | − | 0.651443i | 0.184817 | − | 0.982773i | \(-0.440831\pi\) |
0.943515 | + | 0.331330i | \(0.107497\pi\) | |||||||
\(410\) | 21.0156 | − | 12.1334i | 1.03789 | − | 0.599224i | ||||
\(411\) | 3.26001 | − | 17.6244i | 0.160805 | − | 0.869349i | ||||
\(412\) | −4.69430 | + | 2.71026i | −0.231272 | + | 0.133525i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 21.2616 | − | 17.2423i | 1.04495 | − | 0.847414i | ||||
\(415\) | −7.82038 | − | 13.5453i | −0.383887 | − | 0.664912i | ||||
\(416\) | −30.3335 | −1.48722 | ||||||||
\(417\) | −23.5172 | − | 20.0712i | −1.15164 | − | 0.982889i | ||||
\(418\) | 33.0573i | 1.61689i | ||||||||
\(419\) | 16.1761 | − | 28.0178i | 0.790252 | − | 1.36876i | −0.135558 | − | 0.990769i | \(-0.543283\pi\) |
0.925811 | − | 0.377988i | \(-0.123384\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.54746 | − | 9.60849i | −0.270367 | − | 0.468289i | 0.698589 | − | 0.715523i | \(-0.253812\pi\) |
−0.968956 | + | 0.247234i | \(0.920478\pi\) | |||||||
\(422\) | −51.0404 | + | 29.4682i | −2.48461 | + | 1.43449i | ||||
\(423\) | 9.83498 | − | 7.97579i | 0.478193 | − | 0.387796i | ||||
\(424\) | 9.43598 | − | 16.3436i | 0.458252 | − | 0.793716i | ||||
\(425\) | −1.60577 | + | 2.78128i | −0.0778914 | + | 0.134912i | ||||
\(426\) | −9.78651 | + | 11.4668i | −0.474158 | + | 0.555568i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −13.6014 | − | 7.85276i | −0.657447 | − | 0.379577i | ||||
\(429\) | 18.6202 | − | 21.8172i | 0.898994 | − | 1.05334i | ||||
\(430\) | 24.9658i | 1.20396i | ||||||||
\(431\) | −14.1202 | − | 8.15233i | −0.680149 | − | 0.392684i | 0.119762 | − | 0.992803i | \(-0.461787\pi\) |
−0.799911 | + | 0.600119i | \(0.795120\pi\) | |||||||
\(432\) | 1.09132 | − | 0.594044i | 0.0525060 | − | 0.0285810i | ||||
\(433\) | 12.5359i | 0.602438i | 0.953555 | + | 0.301219i | \(0.0973936\pi\) | ||||
−0.953555 | + | 0.301219i | \(0.902606\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.78100 | + | 0.985915i | −0.133339 | + | 0.0472710i | ||||
\(436\) | −25.8960 | −1.24020 | ||||||||
\(437\) | −8.99716 | − | 15.5835i | −0.430393 | − | 0.745462i | ||||
\(438\) | −9.63160 | − | 27.1681i | −0.460216 | − | 1.29814i | ||||
\(439\) | −16.1276 | − | 9.31127i | −0.769728 | − | 0.444403i | 0.0630496 | − | 0.998010i | \(-0.479917\pi\) |
−0.832778 | + | 0.553608i | \(0.813251\pi\) | |||||||
\(440\) | 12.4836 | 0.595132 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −12.7174 | −0.604904 | ||||||||
\(443\) | −4.11436 | − | 2.37543i | −0.195479 | − | 0.112860i | 0.399066 | − | 0.916922i | \(-0.369334\pi\) |
−0.594545 | + | 0.804062i | \(0.702668\pi\) | |||||||
\(444\) | −0.855536 | + | 1.00243i | −0.0406020 | + | 0.0475730i | ||||
\(445\) | −9.81875 | − | 17.0066i | −0.465453 | − | 0.806189i | ||||
\(446\) | −40.6969 | −1.92705 | ||||||||
\(447\) | −5.52053 | + | 29.8453i | −0.261112 | + | 1.41163i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.2393i | 0.766379i | 0.923670 | + | 0.383189i | \(0.125174\pi\) | ||||
−0.923670 | + | 0.383189i | \(0.874826\pi\) | |||||||
\(450\) | −12.6586 | − | 15.6093i | −0.596730 | − | 0.735830i | ||||
\(451\) | −20.8219 | − | 12.0215i | −0.980465 | − | 0.566072i | ||||
\(452\) | − | 12.4812i | − | 0.587066i | ||||||
\(453\) | 1.87465 | + | 0.346756i | 0.0880785 | + | 0.0162920i | ||||
\(454\) | −21.6210 | − | 12.4829i | −1.01473 | − | 0.585852i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.99028 | + | 19.7177i | 0.327350 | + | 0.923365i | ||||
\(457\) | 2.87360 | − | 4.97722i | 0.134421 | − | 0.232825i | −0.790955 | − | 0.611874i | \(-0.790416\pi\) |
0.925376 | + | 0.379050i | \(0.123749\pi\) | |||||||
\(458\) | 22.1257 | − | 38.3228i | 1.03387 | − | 1.79071i | ||||
\(459\) | 4.98057 | − | 2.71111i | 0.232473 | − | 0.126544i | ||||
\(460\) | −15.8429 | + | 9.14690i | −0.738679 | + | 0.426476i | ||||
\(461\) | −18.1346 | − | 31.4101i | −0.844613 | − | 1.46291i | −0.885957 | − | 0.463768i | \(-0.846497\pi\) |
0.0413440 | − | 0.999145i | \(-0.486836\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.6202 | − | 25.3230i | 0.679461 | − | 1.17686i | −0.295683 | − | 0.955286i | \(-0.595547\pi\) |
0.975144 | − | 0.221574i | \(-0.0711195\pi\) | |||||||
\(464\) | − | 0.284010i | − | 0.0131848i | ||||||
\(465\) | 8.76740 | − | 3.10821i | 0.406579 | − | 0.144140i | ||||
\(466\) | −6.69329 | −0.310061 | ||||||||
\(467\) | 1.32107 | + | 2.28817i | 0.0611320 | + | 0.105884i | 0.894972 | − | 0.446123i | \(-0.147196\pi\) |
−0.833840 | + | 0.552007i | \(0.813862\pi\) | |||||||
\(468\) | 17.4799 | − | 45.6336i | 0.808007 | − | 2.10941i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −11.9347 | + | 6.89053i | −0.550508 | + | 0.317836i | ||||
\(471\) | −15.9315 | + | 5.64800i | −0.734083 | + | 0.260246i | ||||
\(472\) | −22.0674 | + | 12.7406i | −1.01574 | + | 0.586435i | ||||
\(473\) | 21.4218 | − | 12.3679i | 0.984973 | − | 0.568675i | ||||
\(474\) | −13.6020 | + | 4.82216i | −0.624760 | + | 0.221489i | ||||
\(475\) | −11.4408 | + | 6.60532i | −0.524938 | + | 0.303073i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.2540 | − | 16.3436i | −0.606861 | − | 0.748322i | ||||
\(478\) | −14.0962 | − | 24.4153i | −0.644744 | − | 1.11673i | ||||
\(479\) | −31.0819 | −1.42017 | −0.710083 | − | 0.704118i | \(-0.751343\pi\) | ||||
−0.710083 | + | 0.704118i | \(0.751343\pi\) | |||||||
\(480\) | −13.8743 | + | 4.91870i | −0.633272 | + | 0.224507i | ||||
\(481\) | − | 1.22412i | − | 0.0558149i | ||||||
\(482\) | 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 | ||||
\(486\) | 4.69430 | + | 35.1735i | 0.212938 | + | 1.59550i | ||||
\(487\) | −17.4360 | + | 30.2000i | −0.790100 | + | 1.36849i | 0.135805 | + | 0.990736i | \(0.456638\pi\) |
−0.925905 | + | 0.377757i | \(0.876695\pi\) | |||||||
\(488\) | 4.39234 | − | 7.60775i | 0.198832 | − | 0.344387i | ||||
\(489\) | 4.18174 | + | 11.7955i | 0.189105 | + | 0.533412i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.6758 | − | 13.0919i | −1.02334 | − | 0.590828i | −0.108273 | − | 0.994121i | \(-0.534532\pi\) |
−0.915071 | + | 0.403293i | \(0.867866\pi\) | |||||||
\(492\) | −40.2788 | − | 7.45043i | −1.81591 | − | 0.335891i | ||||
\(493\) | − | 1.29617i | − | 0.0583766i | ||||||
\(494\) | −45.3041 | − | 26.1563i | −2.03833 | − | 1.17683i | ||||
\(495\) | 4.97900 | − | 12.9984i | 0.223789 | − | 0.584232i | ||||
\(496\) | 0.895374i | 0.0402035i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −7.82038 | + | 42.2789i | −0.350440 | + | 1.89456i | ||||
\(499\) | 12.4782 | 0.558603 | 0.279302 | − | 0.960203i | \(-0.409897\pi\) | ||||
0.279302 | + | 0.960203i | \(0.409897\pi\) | |||||||
\(500\) | 18.1248 | + | 31.3931i | 0.810566 | + | 1.40394i | ||||
\(501\) | 19.4617 | − | 22.8031i | 0.869484 | − | 1.01877i | ||||
\(502\) | −14.8140 | − | 8.55285i | −0.661180 | − | 0.381733i | ||||
\(503\) | 37.8479 | 1.68756 | 0.843778 | − | 0.536693i | \(-0.180327\pi\) | ||||
0.843778 | + | 0.536693i | \(0.180327\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1683 | −0.452482 | ||||||||
\(506\) | 25.5631 | + | 14.7588i | 1.13642 | + | 0.656111i | ||||
\(507\) | 7.64300 | + | 21.5588i | 0.339437 | + | 0.957460i | ||||
\(508\) | 9.81354 | + | 16.9976i | 0.435406 | + | 0.754145i | ||||
\(509\) | 35.3847 | 1.56840 | 0.784200 | − | 0.620508i | \(-0.213074\pi\) | ||||
0.784200 | + | 0.620508i | \(0.213074\pi\) | |||||||
\(510\) | −5.81682 | + | 2.06217i | −0.257573 | + | 0.0913144i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 2.70367i | − | 0.119486i | ||||||
\(513\) | 23.3187 | + | 0.585737i | 1.02955 | + | 0.0258609i | ||||
\(514\) | 15.2898 | + | 8.82756i | 0.674403 | + | 0.389367i | ||||
\(515\) | − | 2.44334i | − | 0.107666i | ||||||
\(516\) | 27.3577 | − | 32.0549i | 1.20436 | − | 1.41114i | ||||
\(517\) | 11.8247 | + | 6.82701i | 0.520051 | + | 0.300252i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.19957 | + | 2.57723i | −0.0965506 | + | 0.113128i | ||||
\(520\) | −9.87756 | + | 17.1084i | −0.433160 | + | 0.750255i | ||||
\(521\) | −1.15939 | + | 2.00813i | −0.0507940 | + | 0.0879777i | −0.890304 | − | 0.455366i | \(-0.849509\pi\) |
0.839511 | + | 0.543343i | \(0.182842\pi\) | |||||||
\(522\) | 7.57442 | + | 2.90137i | 0.331523 | + | 0.126990i | ||||
\(523\) | −17.4799 | + | 10.0920i | −0.764341 | + | 0.441293i | −0.830852 | − | 0.556493i | \(-0.812147\pi\) |
0.0665110 | + | 0.997786i | \(0.478813\pi\) | |||||||
\(524\) | 13.1458 | + | 22.7692i | 0.574277 | + | 0.994677i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.9194 | − | 27.5733i | 0.694120 | − | 1.20225i | ||||
\(527\) | 4.08632i | 0.178003i | ||||||||
\(528\) | 1.01911 | + | 0.869775i | 0.0443510 | + | 0.0378521i | ||||
\(529\) | 6.93242 | 0.301409 | ||||||||
\(530\) | 11.4506 | + | 19.8329i | 0.497380 | + | 0.861488i | ||||
\(531\) | 4.46454 | + | 28.0589i | 0.193745 | + | 1.21765i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 32.9503 | − | 19.0239i | 1.42724 | − | 0.824016i | ||||
\(534\) | −9.81875 | + | 53.0825i | −0.424899 | + | 2.29711i | ||||
\(535\) | 6.13093 | − | 3.53970i | 0.265063 | − | 0.153034i | ||||
\(536\) | 1.53831 | − | 0.888141i | 0.0664447 | − | 0.0383618i | ||||
\(537\) | 30.5674 | + | 26.0882i | 1.31908 | + | 1.12579i | ||||
\(538\) | −50.9256 | + | 29.4019i | −2.19556 | + | 1.26761i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.595485 | − | 23.7068i | 0.0256256 | − | 1.02018i | ||||
\(541\) | 11.3856 | + | 19.7205i | 0.489507 | + | 0.847851i | 0.999927 | − | 0.0120743i | \(-0.00384346\pi\) |
−0.510420 | + | 0.859925i | \(0.670510\pi\) | |||||||
\(542\) | 37.9103 | 1.62839 | ||||||||
\(543\) | 3.23680 | − | 17.4989i | 0.138904 | − | 0.750951i | ||||
\(544\) | − | 6.46655i | − | 0.277251i | ||||||
\(545\) | 5.83643 | − | 10.1090i | 0.250005 | − | 0.433022i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.7918 | + | 25.6201i | 0.632451 | + | 1.09544i | 0.987049 | + | 0.160419i | \(0.0512845\pi\) |
−0.354598 | + | 0.935019i | \(0.615382\pi\) | |||||||
\(548\) | 28.5156 | − | 16.4635i | 1.21813 | − | 0.703286i | ||||
\(549\) | −6.16959 | − | 7.60775i | −0.263312 | − | 0.324691i | ||||
\(550\) | 10.8353 | − | 18.7673i | 0.462019 | − | 0.800240i | ||||
\(551\) | 2.66589 | − | 4.61745i | 0.113571 | − | 0.196710i | ||||
\(552\) | 18.3685 | + | 3.39765i | 0.781815 | + | 0.144613i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 61.9196 | + | 35.7493i | 2.63071 | + | 1.51884i | ||||
\(555\) | −0.198495 | − | 0.559900i | −0.00842564 | − | 0.0237664i | ||||
\(556\) | − | 56.7990i | − | 2.40881i | ||||||
\(557\) | 4.08250 | + | 2.35703i | 0.172981 | + | 0.0998707i | 0.583991 | − | 0.811760i | \(-0.301490\pi\) |
−0.411010 | + | 0.911631i | \(0.634824\pi\) | |||||||
\(558\) | −23.8792 | − | 9.14690i | −1.01089 | − | 0.387219i | ||||
\(559\) | 39.1439i | 1.65561i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.65103 | + | 3.96950i | 0.196367 | + | 0.167592i | ||||
\(562\) | 21.3034 | 0.898631 | ||||||||
\(563\) | −13.6742 | − | 23.6844i | −0.576299 | − | 0.998179i | −0.995899 | − | 0.0904697i | \(-0.971163\pi\) |
0.419601 | − | 0.907709i | \(-0.362170\pi\) | |||||||
\(564\) | 22.8743 | + | 4.23109i | 0.963181 | + | 0.178161i | ||||
\(565\) | 4.87226 | + | 2.81300i | 0.204977 | + | 0.118344i | ||||
\(566\) | −35.9066 | −1.50927 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.2873 | −0.431645 | ||||||||
\(569\) | −20.4018 | − | 11.7790i | −0.855288 | − | 0.493801i | 0.00714355 | − | 0.999974i | \(-0.497726\pi\) |
−0.862432 | + | 0.506174i | \(0.831059\pi\) | |||||||
\(570\) | −24.9631 | − | 4.61745i | −1.04559 | − | 0.193404i | ||||
\(571\) | −9.59385 | − | 16.6170i | −0.401490 | − | 0.695401i | 0.592416 | − | 0.805632i | \(-0.298174\pi\) |
−0.993906 | + | 0.110231i | \(0.964841\pi\) | |||||||
\(572\) | 52.6931 | 2.20321 | ||||||||
\(573\) | −29.9323 | − | 25.5462i | −1.25044 | − | 1.06721i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.7961i | 0.491932i | ||||||||
\(576\) | 36.4487 | + | 13.9616i | 1.51870 | + | 0.581734i | ||||
\(577\) | 1.93481 | + | 1.11706i | 0.0805472 | + | 0.0465039i | 0.539733 | − | 0.841836i | \(-0.318525\pi\) |
−0.459185 | + | 0.888340i | \(0.651859\pi\) | |||||||
\(578\) | 35.9875i | 1.49688i | ||||||||
\(579\) | −9.76466 | − | 27.5434i | −0.405806 | − | 1.14467i | ||||
\(580\) | −4.69430 | − | 2.71026i | −0.194920 | − | 0.112537i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −12.0744 | − | 2.23342i | −0.500501 | − | 0.0925783i | ||||
\(583\) | 11.3450 | − | 19.6501i | 0.469862 | − | 0.813826i | ||||
\(584\) | 9.83498 | − | 17.0347i | 0.406974 | − | 0.704900i | ||||
\(585\) | 13.8743 | + | 17.1084i | 0.573631 | + | 0.707347i | ||||
\(586\) | −49.0040 | + | 28.2925i | −2.02434 | + | 1.16875i | ||||
\(587\) | −12.9883 | − | 22.4963i | −0.536083 | − | 0.928522i | −0.999110 | − | 0.0421784i | \(-0.986570\pi\) |
0.463028 | − | 0.886344i | \(-0.346763\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.40451 | + | 14.5570i | −0.346302 | + | 0.599813i | ||||
\(590\) | − | 30.9215i | − | 1.27302i | ||||||
\(591\) | −2.81776 | + | 15.2335i | −0.115907 | + | 0.626623i | ||||
\(592\) | 0.0571799 | 0.00235008 | ||||||||
\(593\) | −2.85877 | − | 4.95153i | −0.117396 | − | 0.203335i | 0.801339 | − | 0.598210i | \(-0.204121\pi\) |
−0.918735 | + | 0.394875i | \(0.870788\pi\) | |||||||
\(594\) | −33.6075 | + | 18.2938i | −1.37893 | + | 0.750604i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −48.2885 | + | 27.8794i | −1.97797 | + | 1.14198i | ||||
\(597\) | 7.62188 | + | 6.50502i | 0.311943 | + | 0.266233i | ||||
\(598\) | −40.4532 | + | 23.3557i | −1.65425 | + | 0.955084i | ||||
\(599\) | −21.8662 | + | 12.6245i | −0.893429 | + | 0.515822i | −0.875063 | − | 0.484010i | \(-0.839180\pi\) |
−0.0183665 | + | 0.999831i | \(0.505847\pi\) | |||||||
\(600\) | 2.49440 | − | 13.4853i | 0.101834 | − | 0.550537i | ||||
\(601\) | 40.2546 | − | 23.2410i | 1.64202 | − | 0.948021i | 0.661907 | − | 0.749586i | \(-0.269748\pi\) |
0.980114 | − | 0.198435i | \(-0.0635858\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.311220 | − | 1.95596i | −0.0126739 | − | 0.0796530i | ||||
\(604\) | 1.75116 | + | 3.03310i | 0.0712538 | + | 0.123415i | ||||
\(605\) | −0.767955 | −0.0312218 | ||||||||
\(606\) | 21.2616 | + | 18.1460i | 0.863692 | + | 0.737132i | ||||
\(607\) | 7.03681i | 0.285615i | 0.989750 | + | 0.142808i | \(0.0456130\pi\) | ||||
−0.989750 | + | 0.142808i | \(0.954387\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 9.72824 | + | 3.72639i | 0.393241 | + | 0.150630i | ||||
\(613\) | −3.27128 | + | 5.66602i | −0.132126 | + | 0.228849i | −0.924496 | − | 0.381192i | \(-0.875514\pi\) |
0.792370 | + | 0.610041i | \(0.208847\pi\) | |||||||
\(614\) | 21.4980 | − | 37.2357i | 0.867590 | − | 1.50271i | ||||
\(615\) | 11.9864 | − | 14.0444i | 0.483339 | − | 0.566324i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.0043 | − | 17.3230i | −1.20793 | − | 0.697396i | −0.245620 | − | 0.969366i | \(-0.578992\pi\) |
−0.962306 | + | 0.271970i | \(0.912325\pi\) | |||||||
\(618\) | −4.36032 | + | 5.10896i | −0.175398 | + | 0.205512i | ||||
\(619\) | 16.9825i | 0.682583i | 0.939958 | + | 0.341291i | \(0.110864\pi\) | ||||
−0.939958 | + | 0.341291i | \(0.889136\pi\) | |||||||
\(620\) | 14.7993 | + | 8.54439i | 0.594355 | + | 0.343151i | ||||
\(621\) | 10.8639 | − | 17.7708i | 0.435953 | − | 0.713117i | ||||
\(622\) | − | 18.1071i | − | 0.726029i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.99837 | + | 0.708458i | −0.0799986 | + | 0.0283610i | ||||
\(625\) | −1.62571 | −0.0650284 | ||||||||
\(626\) | 12.6724 | + | 21.9492i | 0.506489 | + | 0.877265i | ||||
\(627\) | 8.40451 | + | 23.7068i | 0.335644 | + | 0.946760i | ||||
\(628\) | −26.8922 | − | 15.5262i | −1.07312 | − | 0.619564i | ||||
\(629\) | 0.260959 | 0.0104051 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.2438 | 1.04475 | 0.522374 | − | 0.852716i | \(-0.325047\pi\) | ||||
0.522374 | + | 0.852716i | \(0.325047\pi\) | |||||||
\(632\) | −8.52859 | − | 4.92398i | −0.339249 | − | 0.195866i | ||||
\(633\) | −29.1113 | + | 34.1095i | −1.15707 | + | 1.35573i | ||||
\(634\) | 26.4669 | + | 45.8420i | 1.05113 | + | 1.82062i | ||||
\(635\) | −8.84707 | −0.351085 | ||||||||
\(636\) | 7.03115 | − | 38.0121i | 0.278803 | − | 1.50728i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 8.74619i | 0.346265i | ||||||||
\(639\) | −4.10301 | + | 10.7115i | −0.162313 | + | 0.423739i | ||||
\(640\) | −22.0674 | − | 12.7406i | −0.872292 | − | 0.503618i | ||||
\(641\) | 19.0631i | 0.752949i | 0.926427 | + | 0.376474i | \(0.122864\pi\) | ||||
−0.926427 | + | 0.376474i | \(0.877136\pi\) | |||||||
\(642\) | −19.1365 | − | 3.53970i | −0.755256 | − | 0.139701i | ||||
\(643\) | 15.3447 | + | 8.85928i | 0.605136 | + | 0.349376i | 0.771060 | − | 0.636763i | \(-0.219727\pi\) |
−0.165923 | + | 0.986139i | \(0.553060\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.34733 | + | 17.9041i | 0.249926 | + | 0.704973i | ||||
\(646\) | 5.57605 | − | 9.65801i | 0.219387 | − | 0.379989i | ||||
\(647\) | 10.8951 | − | 18.8709i | 0.428330 | − | 0.741890i | −0.568395 | − | 0.822756i | \(-0.692435\pi\) |
0.996725 | + | 0.0808661i | \(0.0257686\pi\) | |||||||
\(648\) | −16.1774 | + | 18.0183i | −0.635509 | + | 0.707826i | ||||
\(649\) | −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 | ||||
\(653\) | 15.1095i | 0.591281i | 0.955299 | + | 0.295640i | \(0.0955330\pi\) | ||||
−0.955299 | + | 0.295640i | \(0.904467\pi\) | |||||||
\(654\) | −30.2440 | + | 10.7221i | −1.18264 | + | 0.419266i | ||||
\(655\) | −11.8512 | −0.463063 | ||||||||
\(656\) | 0.888629 | + | 1.53915i | 0.0346951 | + | 0.0600938i | ||||
\(657\) | −13.8145 | − | 17.0347i | −0.538954 | − | 0.664586i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −27.1850 | + | 15.6952i | −1.05898 | + | 0.611400i | −0.925149 | − | 0.379605i | \(-0.876060\pi\) |
−0.133827 | + | 0.991005i | \(0.542727\pi\) | |||||||
\(660\) | 24.1014 | − | 8.54439i | 0.938145 | − | 0.332590i | ||||
\(661\) | 37.8554 | − | 21.8558i | 1.47240 | − | 0.850093i | 0.472885 | − | 0.881124i | \(-0.343213\pi\) |
0.999518 | + | 0.0310314i | \(0.00987918\pi\) | |||||||
\(662\) | 37.7707 | − | 21.8069i | 1.46800 | − | 0.847551i | ||||
\(663\) | −9.12018 | + | 3.23327i | −0.354198 | + | 0.125570i | ||||
\(664\) | −25.4095 | + | 14.6702i | −0.986078 | + | 0.569312i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.584135 | + | 1.52496i | −0.0226348 | + | 0.0590912i | ||||
\(667\) | −2.38044 | − | 4.12304i | −0.0921709 | − | 0.159645i | ||||
\(668\) | 55.0743 | 2.13089 | ||||||||
\(669\) | −29.1855 | + | 10.3468i | −1.12838 | + | 0.400031i | ||||
\(670\) | 2.15552i | 0.0832749i | ||||||||
\(671\) | 5.28096 | − | 9.14690i | 0.203869 | − | 0.353112i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.60589 | − | 7.97763i | −0.177544 | − | 0.307515i | 0.763495 | − | 0.645814i | \(-0.223482\pi\) |
−0.941039 | + | 0.338299i | \(0.890149\pi\) | |||||||
\(674\) | 56.2960 | − | 32.5025i | 2.16844 | − | 1.25195i | ||||
\(675\) | −13.0465 | − | 7.97579i | −0.502161 | − | 0.306988i | ||||
\(676\) | −21.0104 | + | 36.3911i | −0.808092 | + | 1.39966i | ||||
\(677\) | −11.4194 | + | 19.7789i | −0.438882 | + | 0.760165i | −0.997604 | − | 0.0691899i | \(-0.977959\pi\) |
0.558722 | + | 0.829355i | \(0.311292\pi\) | |||||||
\(678\) | −5.16775 | − | 14.5768i | −0.198466 | − | 0.559819i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.64721 | − | 2.10571i | −0.139864 | − | 0.0807505i | ||||
\(681\) | −18.6791 | − | 3.45509i | −0.715783 | − | 0.132399i | ||||
\(682\) | − | 27.5733i | − | 1.05584i | ||||||
\(683\) | 29.6030 | + | 17.0913i | 1.13273 | + | 0.653981i | 0.944619 | − | 0.328168i | \(-0.106431\pi\) |
0.188108 | + | 0.982148i | \(0.439764\pi\) | |||||||
\(684\) | 26.9915 | + | 33.2833i | 1.03205 | + | 1.27262i | ||||
\(685\) | 14.8421i | 0.567088i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.12408 | − | 33.1082i | 0.233648 | − | 1.26316i | ||||
\(688\) | −1.82846 | −0.0697094 | ||||||||
\(689\) | 17.9533 | + | 31.0961i | 0.683967 | + | 1.18467i | ||||
\(690\) | −14.7157 | + | 17.2423i | −0.560218 | + | 0.656404i | ||||
\(691\) | 0.224082 | + | 0.129374i | 0.00852446 | + | 0.00492160i | 0.504256 | − | 0.863554i | \(-0.331767\pi\) |
−0.495732 | + | 0.868476i | \(0.665100\pi\) | |||||||
\(692\) | −6.22453 | −0.236621 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.74720 | −0.256120 | ||||||||
\(695\) | 22.1725 | + | 12.8013i | 0.841052 | + | 0.485582i | ||||
\(696\) | 1.84947 | + | 5.21684i | 0.0701038 | + | 0.197744i | ||||
\(697\) | 4.05555 | + | 7.02441i | 0.153615 | + | 0.266069i | ||||
\(698\) | 61.4778 | 2.32697 | ||||||||
\(699\) | −4.80005 | + | 1.70171i | −0.181555 | + | 0.0643645i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 5.16189i | − | 0.194962i | −0.995237 | − | 0.0974810i | \(-0.968921\pi\) | ||
0.995237 | − | 0.0974810i | \(-0.0310785\pi\) | |||||||
\(702\) | 1.52051 | − | 60.5329i | 0.0573879 | − | 2.28467i | ||||
\(703\) | 0.929636 | + | 0.536725i | 0.0350619 | + | 0.0202430i | ||||
\(704\) | 42.0873i | 1.58623i | ||||||||
\(705\) | −6.80707 | + | 7.97579i | −0.256369 | + | 0.300386i | ||||
\(706\) | 58.4475 | + | 33.7447i | 2.19970 | + | 1.27000i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −33.8840 | + | 39.7016i | −1.27344 | + | 1.49208i | ||||
\(709\) | −11.7472 | + | 20.3468i | −0.441175 | + | 0.764138i | −0.997777 | − | 0.0666412i | \(-0.978772\pi\) |
0.556602 | + | 0.830780i | \(0.312105\pi\) | |||||||
\(710\) | 6.24180 | − | 10.8111i | 0.234251 | − | 0.405734i | ||||
\(711\) | −8.52859 | + | 6.91636i | −0.319847 | + | 0.259384i | ||||
\(712\) | −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 | ||||
\(716\) | 73.8266i | 2.75903i | ||||||||
\(717\) | −16.3163 | − | 13.9254i | −0.609345 | − | 0.520055i | ||||
\(718\) | 56.0586 | 2.09209 | ||||||||
\(719\) | 5.07828 | + | 8.79584i | 0.189388 | + | 0.328029i | 0.945046 | − | 0.326937i | \(-0.106016\pi\) |
−0.755658 | + | 0.654966i | \(0.772683\pi\) | |||||||
\(720\) | −0.799156 | + | 0.648085i | −0.0297828 | + | 0.0241527i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 2.27128 | − | 1.31132i | 0.0845283 | − | 0.0488024i | ||||
\(723\) | 4.25404 | − | 22.9984i | 0.158209 | − | 0.855319i | ||||
\(724\) | 28.3126 | − | 16.3463i | 1.05223 | − | 0.607504i | ||||
\(725\) | −3.02696 | + | 1.74761i | −0.112418 | + | 0.0649047i | ||||
\(726\) | 1.60577 | + | 1.37047i | 0.0595958 | + | 0.0508630i | ||||
\(727\) | −5.74874 | + | 3.31904i | −0.213209 | + | 0.123096i | −0.602802 | − | 0.797891i | \(-0.705949\pi\) |
0.389593 | + | 0.920987i | \(0.372616\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 12.3090 | + | 24.0310i | 0.455890 | + | 0.890036i | ||||
\(730\) | 11.9347 | + | 20.6716i | 0.441725 | + | 0.765089i | ||||
\(731\) | −8.34476 | −0.308642 | ||||||||
\(732\) | 3.27292 | − | 17.6942i | 0.120970 | − | 0.653995i | ||||
\(733\) | − | 6.00594i | − | 0.221834i | −0.993830 | − | 0.110917i | \(-0.964621\pi\) | ||
0.993830 | − | 0.110917i | \(-0.0353788\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | −50.1265 | + | 7.97579i | −1.84518 | + | 0.293593i | ||||
\(739\) | 7.81930 | − | 13.5434i | 0.287638 | − | 0.498203i | −0.685608 | − | 0.727971i | \(-0.740463\pi\) |
0.973245 | + | 0.229768i | \(0.0737968\pi\) | |||||||
\(740\) | 0.545658 | − | 0.945107i | 0.0200588 | − | 0.0347428i | ||||
\(741\) | −39.1396 | − | 7.23970i | −1.43783 | − | 0.265957i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 27.3807 | + | 15.8083i | 1.00450 | + | 0.579949i | 0.909577 | − | 0.415535i | \(-0.136406\pi\) |
0.0949246 | + | 0.995484i | \(0.469739\pi\) | |||||||
\(744\) | −5.83065 | − | 16.4467i | −0.213762 | − | 0.602964i | ||||
\(745\) | − | 25.1337i | − | 0.920829i | ||||||
\(746\) | −7.36032 | − | 4.24948i | −0.269480 | − | 0.155585i | ||||
\(747\) | 5.14068 | + | 32.3083i | 0.188088 | + | 1.18210i | ||||
\(748\) | 11.2332i | 0.410727i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 34.1661 | + | 29.1596i | 1.24757 | + | 1.06476i | ||||
\(751\) | −14.2736 | −0.520851 | −0.260426 | − | 0.965494i | \(-0.583863\pi\) | ||||
−0.260426 | + | 0.965494i | \(0.583863\pi\) | |||||||
\(752\) | −0.504652 | − | 0.874082i | −0.0184028 | − | 0.0318745i | ||||
\(753\) | −12.7982 | − | 2.36731i | −0.466394 | − | 0.0862695i | ||||
\(754\) | −11.9864 | − | 6.92036i | −0.436519 | − | 0.252025i | ||||
\(755\) | −1.57870 | −0.0574548 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.8227 | −0.393358 | −0.196679 | − | 0.980468i | \(-0.563016\pi\) | ||||
−0.196679 | + | 0.980468i | \(0.563016\pi\) | |||||||
\(758\) | −60.0134 | − | 34.6488i | −2.17979 | − | 1.25850i | ||||
\(759\) | 22.0847 | + | 4.08504i | 0.801624 | + | 0.148277i | ||||
\(760\) | −8.66182 | − | 15.0027i | −0.314197 | − | 0.544206i | ||||
\(761\) | −5.86195 | −0.212496 | −0.106248 | − | 0.994340i | \(-0.533884\pi\) | ||||
−0.106248 | + | 0.994340i | \(0.533884\pi\) | |||||||
\(762\) | 18.4990 | + | 15.7882i | 0.670147 | + | 0.571948i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 72.2926i | − | 2.61546i | ||||||
\(765\) | −3.64721 | + | 2.95774i | −0.131865 | + | 0.106937i | ||||
\(766\) | −33.4844 | − | 19.3323i | −1.20984 | − | 0.698503i | ||||
\(767\) | − | 48.4818i | − | 1.75058i | ||||||
\(768\) | 8.34620 | + | 23.5424i | 0.301168 | + | 0.849511i | ||||
\(769\) | 27.5683 | + | 15.9166i | 0.994140 | + | 0.573967i | 0.906509 | − | 0.422186i | \(-0.138737\pi\) |
0.0876307 | + | 0.996153i | \(0.472070\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.2093 | + | 2.44334i | 0.475721 | + | 0.0879947i | ||||
\(772\) | 26.8428 | − | 46.4931i | 0.966094 | − | 1.67332i | ||||
\(773\) | −9.51908 | + | 16.4875i | −0.342378 | + | 0.593015i | −0.984874 | − | 0.173274i | \(-0.944566\pi\) |
0.642496 | + | 0.766289i | \(0.277899\pi\) | |||||||
\(774\) | 18.6791 | − | 48.7642i | 0.671405 | − | 1.75279i | ||||
\(775\) | 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 | ||||
\(779\) | 33.3648i | 1.19542i | ||||||||
\(780\) | −7.36019 | + | 39.7910i | −0.263537 | + | 1.42475i | ||||
\(781\) | −12.3685 | −0.442581 | ||||||||
\(782\) | −4.97900 | − | 8.62388i | −0.178049 | − | 0.308389i | ||||
\(783\) | 6.16959 | + | 0.154972i | 0.220483 | + | 0.00553826i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12.1219 | − | 6.99857i | 0.432649 | − | 0.249790i | ||||
\(786\) | 24.7804 | + | 21.1493i | 0.883889 | + | 0.754369i | ||||
\(787\) | 16.4123 | − | 9.47564i | 0.585035 | − | 0.337770i | −0.178097 | − | 0.984013i | \(-0.556994\pi\) |
0.763132 | + | 0.646243i | \(0.223661\pi\) | |||||||
\(788\) | −24.6472 | + | 14.2301i | −0.878020 | + | 0.506925i | ||||
\(789\) | 4.40627 | − | 23.8214i | 0.156867 | − | 0.848063i | ||||
\(790\) | 10.3494 | − | 5.97525i | 0.368216 | − | 0.212590i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −24.3834 | − | 9.34004i | −0.866428 | − | 0.331884i | ||||
\(793\) | 8.35705 | + | 14.4748i | 0.296768 | + | 0.514016i | ||||
\(794\) | 50.7714 | 1.80181 | ||||||||
\(795\) | 13.2540 | + | 11.3119i | 0.470072 | + | 0.401191i | ||||
\(796\) | 18.4084i | 0.652470i | ||||||||
\(797\) | −26.7207 | + | 46.2816i | −0.946497 | + | 1.63938i | −0.193770 | + | 0.981047i | \(0.562071\pi\) |
−0.752727 | + | 0.658333i | \(0.771262\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.30314 | − | 3.98916i | −0.0814792 | − | 0.141126i | ||||
\(800\) | −15.1014 | + | 8.71878i | −0.533914 | + | 0.308256i | ||||
\(801\) | 6.45429 | + | 40.5641i | 0.228051 | + | 1.43326i | ||||
\(802\) | 27.4097 | − | 47.4750i | 0.967871 | − | 1.67640i | ||||
\(803\) | 11.8247 | − | 20.4810i | 0.417286 | − | 0.722760i | ||||
\(804\) | 2.36203 | − | 2.76757i | 0.0833024 | − | 0.0976048i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 37.7885 | + | 21.8172i | 1.33104 | + | 0.768479i | ||||
\(807\) | −29.0458 | + | 34.0328i | −1.02246 | + | 1.19801i | ||||
\(808\) | 19.0745i | 0.671040i | ||||||||
\(809\) | −2.23517 | − | 1.29047i | −0.0785842 | − | 0.0453706i | 0.460193 | − | 0.887819i | \(-0.347780\pi\) |
−0.538777 | + | 0.842448i | \(0.681114\pi\) | |||||||
\(810\) | −9.12018 | − | 27.9338i | −0.320450 | − | 0.981494i | ||||
\(811\) | − | 6.06938i | − | 0.213125i | −0.994306 | − | 0.106562i | \(-0.966016\pi\) | ||
0.994306 | − | 0.106562i | \(-0.0339844\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 27.1871 | − | 9.63835i | 0.953495 | − | 0.338032i | ||||
\(814\) | −1.76088 | −0.0617187 | ||||||||
\(815\) | −5.18169 | − | 8.97494i | −0.181507 | − | 0.314379i | ||||
\(816\) | −0.151030 | − | 0.426015i | −0.00528712 | − | 0.0149135i | ||||
\(817\) | −29.7272 | − | 17.1630i | −1.04002 | − | 0.600458i | ||||
\(818\) | 59.9811 | 2.09719 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 33.9201 | 1.18454 | ||||||||
\(821\) | −8.03938 | − | 4.64154i | −0.280576 | − | 0.161991i | 0.353108 | − | 0.935583i | \(-0.385125\pi\) |
−0.633684 | + | 0.773592i | \(0.718458\pi\) | |||||||
\(822\) | 26.4868 | − | 31.0344i | 0.923834 | − | 1.08245i | ||||
\(823\) | −9.03448 | − | 15.6482i | −0.314922 | − | 0.545461i | 0.664499 | − | 0.747289i | \(-0.268645\pi\) |
−0.979421 | + | 0.201828i | \(0.935312\pi\) | |||||||
\(824\) | −4.58343 | −0.159671 | ||||||||
\(825\) | 2.99905 | − | 16.2136i | 0.104414 | − | 0.564486i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 48.5440i | 1.68804i | 0.536310 | + | 0.844021i | \(0.319818\pi\) | ||||
−0.536310 | + | 0.844021i | \(0.680182\pi\) | |||||||
\(828\) | 37.7885 | − | 6.01266i | 1.31324 | − | 0.208954i | ||||
\(829\) | −4.71804 | − | 2.72396i | −0.163864 | − | 0.0946071i | 0.415825 | − | 0.909445i | \(-0.363493\pi\) |
−0.579689 | + | 0.814837i | \(0.696826\pi\) | |||||||
\(830\) | − | 35.6044i | − | 1.23585i | ||||||
\(831\) | 53.4941 | + | 9.89488i | 1.85569 | + | 0.343250i | ||||
\(832\) | −57.6796 | − | 33.3013i | −1.99968 | − | 1.15452i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −23.5172 | − | 66.3357i | −0.814335 | − | 2.29702i | ||||
\(835\) | −12.4126 | + | 21.4992i | −0.429556 | + | 0.744012i | ||||
\(836\) | −23.1038 | + | 40.0170i | −0.799062 | + | 1.38402i | ||||
\(837\) | −19.4503 | − | 0.488568i | −0.672302 | − | 0.0168874i | ||||
\(838\) | 63.7793 | − | 36.8230i | 2.20322 | − | 1.27203i | ||||
\(839\) | −24.2673 | − | 42.0322i | −0.837801 | − | 1.45111i | −0.891729 | − | 0.452569i | \(-0.850508\pi\) |
0.0539281 | − | 0.998545i | \(-0.482826\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.7947 | + | 23.8931i | −0.475678 | + | 0.823899i | ||||
\(842\) | − | 25.2564i | − | 0.870392i | ||||||
\(843\) | 15.2776 | − | 5.41620i | 0.526189 | − | 0.186544i | ||||
\(844\) | −82.3814 | −2.83569 | ||||||||
\(845\) | −9.47061 | − | 16.4036i | −0.325799 | − | 0.564300i | ||||
\(846\) | 28.4668 | − | 4.52945i | 0.978708 | − | 0.155726i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.45254 | + | 0.838622i | −0.0498803 | + | 0.0287984i | ||||
\(849\) | −25.7502 | + | 9.12893i | −0.883745 | + | 0.313304i | ||||
\(850\) | −6.33127 | + | 3.65536i | −0.217161 | + | 0.125378i | ||||
\(851\) | 0.830095 | − | 0.479256i | 0.0284553 | − | 0.0164287i | ||||
\(852\) | −19.8611 | + | 7.04112i | −0.680429 | + | 0.241225i | ||||
\(853\) | −10.7703 | + | 6.21823i | −0.368768 | + | 0.212908i | −0.672920 | − | 0.739715i | \(-0.734960\pi\) |
0.304152 | + | 0.952623i | \(0.401627\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −19.0761 | + | 3.03526i | −0.652387 | + | 0.103804i | ||||
\(856\) | −6.64007 | − | 11.5009i | −0.226953 | − | 0.393094i | ||||
\(857\) | −10.5815 | −0.361459 | −0.180729 | − | 0.983533i | \(-0.557846\pi\) | ||||
−0.180729 | + | 0.983533i | \(0.557846\pi\) | |||||||
\(858\) | 61.5404 | − | 21.8172i | 2.10095 | − | 0.744827i | ||||
\(859\) | 32.4993i | 1.10886i | 0.832230 | + | 0.554431i | \(0.187064\pi\) | ||||
−0.832230 | + | 0.554431i | \(0.812936\pi\) | |||||||
\(860\) | −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 | \(0.192110\pi\) | |||||||
\(864\) | 30.7799 | + | 0.773151i | 1.04715 | + | 0.0263031i | ||||
\(865\) | 1.40288 | − | 2.42986i | 0.0476994 | − | 0.0826177i | ||||
\(866\) | −14.2683 | + | 24.7135i | −0.484857 | + | 0.839797i | ||||
\(867\) | 9.14949 | + | 25.8082i | 0.310733 | + | 0.876492i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.2540 | − | 5.92017i | −0.347844 | − | 0.200828i | ||||
\(870\) | −6.60464 | − | 1.22167i | −0.223918 | − | 0.0414185i | ||||
\(871\) | 3.37963i | 0.114514i | ||||||||
\(872\) | −18.9633 | − | 10.9485i | −0.642179 | − | 0.370762i | ||||
\(873\) | −9.22692 | + | 1.46813i | −0.312284 | + | 0.0496885i | ||||
\(874\) | − | 40.9621i | − | 1.38556i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 7.32846 | − | 39.6194i | 0.247606 | − | 1.33862i | ||||
\(877\) | −14.9579 | −0.505091 | −0.252546 | − | 0.967585i | \(-0.581268\pi\) | ||||
−0.252546 | + | 0.967585i | \(0.581268\pi\) | |||||||
\(878\) | −21.1961 | − | 36.7127i | −0.715333 | − | 1.23899i | ||||
\(879\) | −27.9498 | + | 32.7486i | −0.942723 | + | 1.10458i | ||||
\(880\) | −0.960836 | − | 0.554739i | −0.0323898 | − | 0.0187003i | ||||
\(881\) | −36.4482 | −1.22797 | −0.613985 | − | 0.789318i | \(-0.710434\pi\) | ||||
−0.613985 | + | 0.789318i | \(0.710434\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.9831 | 0.537873 | 0.268936 | − | 0.963158i | \(-0.413328\pi\) | ||||
0.268936 | + | 0.963158i | \(0.413328\pi\) | |||||||
\(884\) | −15.3948 | − | 8.88819i | −0.517783 | − | 0.298942i | ||||
\(885\) | −7.86151 | − | 22.1752i | −0.264262 | − | 0.745410i | ||||
\(886\) | −5.40739 | − | 9.36588i | −0.181665 | − | 0.314653i | ||||
\(887\) | −49.0416 | −1.64666 | −0.823329 | − | 0.567565i | \(-0.807886\pi\) | ||||
−0.823329 | + | 0.567565i | \(0.807886\pi\) | |||||||
\(888\) | −1.05031 | + | 0.372354i | −0.0352461 | + | 0.0124954i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 44.7026i | − | 1.49843i | ||||||
\(891\) | −19.4503 | + | 21.6637i | −0.651611 | + | 0.725760i | ||||
\(892\) | −49.2649 | − | 28.4431i | −1.64951 | − | 0.952346i | ||||
\(893\) | − | 18.9479i | − | 0.634066i | ||||||
\(894\) | −44.8530 | + | 52.5539i | −1.50011 | + | 1.75767i | ||||
\(895\) | −28.8196 | − | 16.6390i | −0.963332 | − | 0.556180i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −23.0728 | + | 27.0342i | −0.770378 | + | 0.902646i | ||||
\(898\) | −18.4834 | + | 32.0143i | −0.616801 | + | 1.06833i | ||||
\(899\) | −2.22364 | + | 3.85145i | −0.0741625 | + | 0.128453i | ||||
\(900\) | −4.41423 | − | 27.7427i | −0.147141 | − | 0.924756i | ||||
\(901\) | −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 | ||||
\(905\) | 14.7364i | 0.489855i | ||||||||
\(906\) | 3.30102 | + | 2.81731i | 0.109669 | + | 0.0935988i | ||||
\(907\) | −4.85829 | −0.161317 | −0.0806585 | − | 0.996742i | \(-0.525702\pi\) | ||||
−0.0806585 | + | 0.996742i | \(0.525702\pi\) | |||||||
\(908\) | −17.4487 | − | 30.2220i | −0.579054 | − | 1.00295i | ||||
\(909\) | 19.8611 | + | 7.60775i | 0.658750 | + | 0.252333i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.4945 | − | 8.36843i | 0.480226 | − | 0.277258i | −0.240285 | − | 0.970702i | \(-0.577241\pi\) |
0.720510 | + | 0.693444i | \(0.243908\pi\) | |||||||
\(912\) | 0.338175 | − | 1.82826i | 0.0111981 | − | 0.0605397i | ||||
\(913\) | −30.5501 | + | 17.6381i | −1.01106 | + | 0.583737i | ||||
\(914\) | 11.3301 | − | 6.54143i | 0.374766 | − | 0.216371i | ||||
\(915\) | 6.16959 | + | 5.26554i | 0.203960 | + | 0.174073i | ||||
\(916\) | 53.5678 | − | 30.9274i | 1.76993 | − | 1.02187i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 12.9045 | + | 0.324145i | 0.425912 | + | 0.0106984i | ||||
\(919\) | −15.3200 | − | 26.5350i | −0.505360 | − | 0.875309i | −0.999981 | − | 0.00620006i | \(-0.998026\pi\) |
0.494621 | − | 0.869109i | \(-0.335307\pi\) | |||||||
\(920\) | −15.4687 | −0.509989 | ||||||||
\(921\) | 5.95034 | − | 32.1690i | 0.196071 | − | 1.06000i | ||||
\(922\) | − | 82.5628i | − | 2.71906i | ||||||
\(923\) | 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 | ||||
\(927\) | −1.82807 | + | 4.77243i | −0.0600417 | + | 0.156747i | ||||
\(928\) | 3.51887 | − | 6.09487i | 0.115513 | − | 0.200074i | ||||
\(929\) | 14.8723 | − | 25.7595i | 0.487943 | − | 0.845142i | −0.511961 | − | 0.859009i | \(-0.671081\pi\) |
0.999904 | + | 0.0138670i | \(0.00441415\pi\) | |||||||
\(930\) | 20.8219 | + | 3.85145i | 0.682777 | + | 0.126294i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −8.10245 | − | 4.67795i | −0.265405 | − | 0.153231i | ||||
\(933\) | −4.60357 | − | 12.9854i | −0.150714 | − | 0.425123i | ||||
\(934\) | 6.01456i | 0.196802i | ||||||||
\(935\) | −4.38508 | − | 2.53173i | −0.143408 | − | 0.0827964i | ||||
\(936\) | 32.0935 | − | 26.0266i | 1.04901 | − | 0.850706i | ||||
\(937\) | − | 4.03712i | − | 0.131887i | −0.997823 | − | 0.0659434i | \(-0.978994\pi\) | ||
0.997823 | − | 0.0659434i | \(-0.0210057\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.6683 | + | 12.5189i | 0.478681 | + | 0.408538i | ||||
\(940\) | −19.2632 | −0.628296 | ||||||||
\(941\) | 7.20264 | + | 12.4753i | 0.234799 | + | 0.406684i | 0.959214 | − | 0.282680i | \(-0.0912234\pi\) |
−0.724415 | + | 0.689364i | \(0.757890\pi\) | |||||||
\(942\) | −37.8360 | − | 6.99857i | −1.23276 | − | 0.228026i | ||||
\(943\) | 25.8009 | + | 14.8962i | 0.840193 | + | 0.485085i | ||||
\(944\) | 2.26464 | 0.0737079 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 56.3081 | 1.83073 | ||||||||
\(947\) | −27.0334 | − | 15.6077i | −0.878467 | − | 0.507183i | −0.00831468 | − | 0.999965i | \(-0.502647\pi\) |
−0.870153 | + | 0.492782i | \(0.835980\pi\) | |||||||
\(948\) | −19.8359 | − | 3.66907i | −0.644239 | − | 0.119166i | ||||
\(949\) | 18.7125 | + | 32.4109i | 0.607432 | + | 1.05210i | ||||
\(950\) | −30.0726 | −0.975682 | ||||||||
\(951\) | 30.6355 | + | 26.1463i | 0.993423 | + | 0.847853i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 8.55869i | − | 0.277243i | −0.990345 | − | 0.138622i | \(-0.955733\pi\) | ||
0.990345 | − | 0.138622i | \(-0.0442672\pi\) | |||||||
\(954\) | −7.52696 | − | 47.3056i | −0.243694 | − | 1.53158i | ||||
\(955\) | 28.2207 | + | 16.2933i | 0.913202 | + | 0.527237i | ||||
\(956\) | − | 39.4074i | − | 1.27453i | ||||||
\(957\) | 2.22364 | + | 6.27227i | 0.0718800 | + | 0.202754i | ||||
\(958\) | −61.2751 | − | 35.3772i | −1.97971 | − | 1.14298i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −31.7821 | − | 5.87877i | −1.02576 | − | 0.189737i | ||||
\(961\) | −8.48973 | + | 14.7046i | −0.273862 | + | 0.474343i | ||||
\(962\) | 1.39328 | − | 2.41323i | 0.0449212 | − | 0.0778058i | ||||
\(963\) | −14.6235 | + | 2.32680i | −0.471236 | + | 0.0749800i | ||||
\(964\) | 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 | −0.484413 | − | 0.874840i | \(-0.660967\pi\) |
0.999840 | − | 0.0179059i | \(-0.00569994\pi\) | |||||||
\(968\) | 1.44060i | 0.0463026i | ||||||||
\(969\) | 1.54337 | − | 8.34384i | 0.0495802 | − | 0.268043i | ||||
\(970\) | 10.1683 | 0.326483 | ||||||||
\(971\) | −16.6183 | − | 28.7838i | −0.533307 | − | 0.923715i | −0.999243 | − | 0.0388964i | \(-0.987616\pi\) |
0.465936 | − | 0.884818i | \(-0.345718\pi\) | |||||||
\(972\) | −18.9002 | + | 45.8596i | −0.606225 | + | 1.47095i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −68.7469 | + | 39.6911i | −2.20279 | + | 1.27178i | ||||
\(975\) | 19.8473 | + | 16.9390i | 0.635623 | + | 0.542483i | ||||
\(976\) | −0.676137 | + | 0.390368i | −0.0216426 | + | 0.0124954i | ||||
\(977\) | −45.1558 | + | 26.0707i | −1.44466 | + | 0.834076i | −0.998156 | − | 0.0607042i | \(-0.980665\pi\) |
−0.446507 | + | 0.894780i | \(0.647332\pi\) | |||||||
\(978\) | −5.18169 | + | 28.0134i | −0.165692 | + | 0.895771i | ||||
\(979\) | −38.3567 | + | 22.1453i | −1.22589 | + | 0.707765i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −18.9633 | + | 15.3785i | −0.605453 | + | 0.490999i | ||||
\(982\) | −29.8022 | − | 51.6189i | −0.951026 | − | 1.64723i | ||||
\(983\) | 24.2385 | 0.773087 | 0.386544 | − | 0.922271i | \(-0.373669\pi\) | ||||
0.386544 | + | 0.922271i | \(0.373669\pi\) | |||||||
\(984\) | −26.3457 | − | 22.4852i | −0.839870 | − | 0.716801i | ||||
\(985\) | − | 12.8286i | − | 0.408755i | ||||||
\(986\) | 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 | ||||
\(990\) | 24.6103 | − | 19.9580i | 0.782167 | − | 0.634307i | ||||
\(991\) | 12.0991 | − | 20.9562i | 0.384339 | − | 0.665695i | −0.607338 | − | 0.794443i | \(-0.707763\pi\) |
0.991677 | + | 0.128749i | \(0.0410960\pi\) | |||||||
\(992\) | −11.0937 | + | 19.2148i | −0.352224 | + | 0.610070i | ||||
\(993\) | 21.5428 | − | 25.2416i | 0.683641 | − | 0.801017i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −7.18607 | − | 4.14888i | −0.227814 | − | 0.131528i | ||||
\(996\) | −39.0156 | + | 45.7143i | −1.23626 | + | 1.44851i | ||||
\(997\) | 10.1835i | 0.322516i | 0.986912 | + | 0.161258i | \(0.0515551\pi\) | ||||
−0.986912 | + | 0.161258i | \(0.948445\pi\) | |||||||
\(998\) | 24.5997 | + | 14.2027i | 0.778691 | + | 0.449578i | ||||
\(999\) | −0.0312007 | + | 1.24213i | −0.000987146 | + | 0.0392992i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))