Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [968,2,Mod(9,968)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(968, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("968.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 968 = 2^{3} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 968.i (of order \(5\), degree \(4\), 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: | \(7.72951891566\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.1305015625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 5x^{6} - 9x^{5} + 29x^{4} + 36x^{3} + 80x^{2} + 64x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 88) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 753.2 | ||
Root | \(0.482546 + 1.48512i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 968.753 |
Dual form | 968.2.i.q.9.2 |
$q$-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 \(\left(\mathbb{Z}/968\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(727\) | \(849\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.26332 | + | 0.917858i | 0.729380 | + | 0.529925i | 0.889367 | − | 0.457194i | \(-0.151145\pi\) |
−0.159987 | + | 0.987119i | \(0.551145\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.10058 | − | 3.38724i | 0.492194 | − | 1.51482i | −0.329089 | − | 0.944299i | \(-0.606742\pi\) |
0.821284 | − | 0.570520i | \(-0.193258\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.52665 | − | 1.83572i | 0.954982 | − | 0.693835i | 0.00300226 | − | 0.999995i | \(-0.499044\pi\) |
0.951980 | + | 0.306160i | \(0.0990443\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.173529 | − | 0.534068i | −0.0578431 | − | 0.178023i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.58313 | + | 4.87236i | 0.439080 | + | 1.35135i | 0.888847 | + | 0.458204i | \(0.151507\pi\) |
−0.449767 | + | 0.893146i | \(0.648493\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.49939 | − | 3.26900i | 1.16174 | − | 0.844052i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.618034 | + | 1.90211i | −0.149895 | + | 0.461330i | −0.997608 | − | 0.0691254i | \(-0.977979\pi\) |
0.847713 | + | 0.530456i | \(0.177979\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.23607 | − | 2.35114i | −0.742405 | − | 0.539389i | 0.151058 | − | 0.988525i | \(-0.451732\pi\) |
−0.893463 | + | 0.449136i | \(0.851732\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.87689 | 1.06423 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.43845 | 0.508451 | 0.254226 | − | 0.967145i | \(-0.418179\pi\) | ||||
0.254226 | + | 0.967145i | \(0.418179\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.21702 | − | 4.51693i | −1.24340 | − | 0.903386i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.71861 | − | 5.28935i | 0.330747 | − | 1.01794i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.14468 | + | 3.01129i | −0.769648 | + | 0.559182i | −0.901854 | − | 0.432040i | \(-0.857794\pi\) |
0.132207 | + | 0.991222i | \(0.457794\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.71861 | − | 5.28935i | −0.308672 | − | 0.949995i | −0.978281 | − | 0.207282i | \(-0.933538\pi\) |
0.669609 | − | 0.742714i | \(-0.266462\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.43723 | − | 10.5787i | −0.580998 | − | 1.78813i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.11742 | − | 4.44457i | 1.00570 | − | 0.730683i | 0.0423960 | − | 0.999101i | \(-0.486501\pi\) |
0.963302 | + | 0.268418i | \(0.0865009\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.47214 | + | 7.60845i | −0.395859 | + | 1.21833i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.908612 | − | 0.660145i | −0.141901 | − | 0.103097i | 0.514570 | − | 0.857448i | \(-0.327952\pi\) |
−0.656471 | + | 0.754351i | \(0.727952\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.12311 | 1.08626 | 0.543132 | − | 0.839648i | \(-0.317238\pi\) | ||||
0.543132 | + | 0.839648i | \(0.317238\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.00000 | −0.298142 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.47214 | − | 4.70228i | −0.944058 | − | 0.685898i | 0.00533600 | − | 0.999986i | \(-0.498301\pi\) |
−0.949394 | + | 0.314087i | \(0.898301\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.850968 | − | 2.61901i | 0.121567 | − | 0.374144i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.52665 | + | 1.83572i | −0.353801 | + | 0.257052i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.78429 | + | 11.6468i | 0.519812 | + | 1.59982i | 0.774353 | + | 0.632754i | \(0.218076\pi\) |
−0.254541 | + | 0.967062i | \(0.581924\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.93019 | − | 5.94050i | −0.255659 | − | 0.786838i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.31661 | + | 4.58929i | −0.822353 | + | 0.597474i | −0.917386 | − | 0.398000i | \(-0.869705\pi\) |
0.0950325 | + | 0.995474i | \(0.469705\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.347059 | + | 1.06814i | −0.0444363 | + | 0.136761i | −0.970813 | − | 0.239837i | \(-0.922906\pi\) |
0.926377 | + | 0.376598i | \(0.122906\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.41884 | − | 1.03085i | −0.178758 | − | 0.129875i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 18.2462 | 2.26316 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.56155 | 1.16813 | 0.584065 | − | 0.811707i | \(-0.301461\pi\) | ||||
0.584065 | + | 0.811707i | \(0.301461\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.08055 | + | 2.23815i | 0.370854 | + | 0.269441i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.68371 | + | 8.25960i | −0.318497 | + | 0.980234i | 0.655793 | + | 0.754940i | \(0.272334\pi\) |
−0.974291 | + | 0.225294i | \(0.927666\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.14468 | − | 3.01129i | 0.485098 | − | 0.352444i | −0.318198 | − | 0.948024i | \(-0.603078\pi\) |
0.803296 | + | 0.595580i | \(0.203078\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.70820 | − | 11.4127i | −0.428187 | − | 1.31782i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.43723 | + | 10.5787i | 0.386718 | + | 1.19020i | 0.935226 | + | 0.354051i | \(0.115196\pi\) |
−0.548508 | + | 0.836146i | \(0.684804\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.66312 | − | 4.11450i | 0.629235 | − | 0.457166i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.270975 | + | 0.833976i | −0.0297434 | + | 0.0915408i | −0.964826 | − | 0.262889i | \(-0.915325\pi\) |
0.935083 | + | 0.354429i | \(0.115325\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.76271 | + | 4.18686i | 0.625054 | + | 0.454128i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −8.00000 | −0.857690 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.68466 | 0.284573 | 0.142287 | − | 0.989825i | \(-0.454555\pi\) | ||||
0.142287 | + | 0.989825i | \(0.454555\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.9443 | + | 9.40456i | 1.35693 | + | 0.985866i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.68371 | − | 8.25960i | 0.278287 | − | 0.856481i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −11.5254 | + | 8.37371i | −1.18248 | + | 0.859125i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.80878 | + | 14.7999i | 0.488258 | + | 1.50270i | 0.827206 | + | 0.561899i | \(0.189929\pi\) |
−0.338948 | + | 0.940805i | \(0.610071\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.618034 | + | 1.90211i | 0.0614967 | + | 0.189267i | 0.977085 | − | 0.212850i | \(-0.0682745\pi\) |
−0.915588 | + | 0.402117i | \(0.868274\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.36741 | − | 16.5192i | 0.523806 | − | 1.61211i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.8160 | − | 7.85829i | −1.04562 | − | 0.759689i | −0.0742474 | − | 0.997240i | \(-0.523655\pi\) |
−0.971375 | + | 0.237551i | \(0.923655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2462 | −1.17297 | −0.586487 | − | 0.809959i | \(-0.699490\pi\) | ||||
−0.586487 | + | 0.809959i | \(0.699490\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 11.8078 | 1.12074 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.354711 | + | 0.257713i | 0.0333684 | + | 0.0242436i | 0.604344 | − | 0.796723i | \(-0.293435\pi\) |
−0.570976 | + | 0.820967i | \(0.693435\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.68371 | − | 8.25960i | 0.250257 | − | 0.770212i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.32746 | − | 1.69100i | 0.215173 | − | 0.156333i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.93019 | + | 5.94050i | 0.176940 | + | 0.544565i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.541951 | − | 1.66795i | −0.0488660 | − | 0.150394i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.73546 | + | 5.62014i | −0.691880 | + | 0.502681i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.93019 | + | 5.94050i | −0.171276 | + | 0.527134i | −0.999444 | − | 0.0333464i | \(-0.989384\pi\) |
0.828168 | + | 0.560481i | \(0.189384\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.99878 | + | 6.53800i | 0.792299 | + | 0.575639i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.3693 | −1.16808 | −0.584041 | − | 0.811724i | \(-0.698529\pi\) | ||||
−0.584041 | + | 0.811724i | \(0.698529\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.4924 | −1.08323 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −16.0248 | − | 11.6427i | −1.37920 | − | 1.00205i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.60762 | + | 8.02544i | −0.222784 | + | 0.685660i | 0.775725 | + | 0.631072i | \(0.217385\pi\) |
−0.998509 | + | 0.0545881i | \(0.982615\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.2348 | − | 8.88914i | 1.03775 | − | 0.753967i | 0.0679020 | − | 0.997692i | \(-0.478369\pi\) |
0.969844 | + | 0.243725i | \(0.0783695\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.86037 | − | 11.8810i | −0.325102 | − | 1.00056i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.63839 | + | 17.3532i | 0.468243 | + | 1.44110i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.47892 | − | 2.52759i | 0.286937 | − | 0.208472i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.31215 | + | 4.03839i | −0.107496 | + | 0.330838i | −0.990308 | − | 0.138888i | \(-0.955647\pi\) |
0.882812 | + | 0.469726i | \(0.155647\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.57994 | − | 5.50715i | −0.616846 | − | 0.448165i | 0.234972 | − | 0.972002i | \(-0.424500\pi\) |
−0.851819 | + | 0.523837i | \(0.824500\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.12311 | 0.0907977 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −19.8078 | −1.59100 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.59078 | + | 2.60885i | 0.286575 | + | 0.208209i | 0.721780 | − | 0.692122i | \(-0.243324\pi\) |
−0.435205 | + | 0.900331i | \(0.643324\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.90936 | + | 18.1872i | −0.468643 | + | 1.44234i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.16109 | − | 4.47630i | 0.485562 | − | 0.352781i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.23607 | − | 3.80423i | −0.0968163 | − | 0.297970i | 0.890906 | − | 0.454187i | \(-0.150070\pi\) |
−0.987723 | + | 0.156217i | \(0.950070\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.47214 | − | 7.60845i | −0.191300 | − | 0.588760i | −1.00000 | 0.000538710i | \(-0.999829\pi\) | |
0.808700 | − | 0.588221i | \(-0.200171\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.7164 | + | 7.78593i | −0.824339 | + | 0.598918i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.694117 | + | 2.13627i | −0.0530805 | + | 0.163365i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.90739 | + | 7.19814i | 0.753245 | + | 0.547265i | 0.896831 | − | 0.442373i | \(-0.145863\pi\) |
−0.143586 | + | 0.989638i | \(0.545863\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −24.0000 | −1.81423 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.1922 | −0.916425 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.20881 | + | 3.78442i | 0.389325 | + | 0.282861i | 0.765179 | − | 0.643818i | \(-0.222651\pi\) |
−0.375854 | + | 0.926679i | \(0.622651\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.406463 | + | 1.25096i | −0.0302121 | + | 0.0929834i | −0.965026 | − | 0.262156i | \(-0.915567\pi\) |
0.934813 | + | 0.355139i | \(0.115567\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.41884 | + | 1.03085i | −0.104884 | + | 0.0762027i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −8.32210 | − | 25.6128i | −0.611853 | − | 1.88309i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.36741 | − | 16.5192i | −0.390422 | − | 1.20160i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.44488 | − | 6.13557i | 0.611050 | − | 0.443954i | −0.238734 | − | 0.971085i | \(-0.576732\pi\) |
0.849784 | + | 0.527131i | \(0.176732\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.81919 | − | 8.67659i | 0.202930 | − | 0.624555i | −0.796862 | − | 0.604161i | \(-0.793508\pi\) |
0.999792 | − | 0.0203931i | \(-0.00649179\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 23.0509 | + | 16.7474i | 1.65071 | + | 1.19931i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.4924 | 1.03254 | 0.516271 | − | 0.856425i | \(-0.327320\pi\) | ||||
0.516271 | + | 0.856425i | \(0.327320\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.4924 | −0.885564 | −0.442782 | − | 0.896629i | \(-0.646009\pi\) | ||||
−0.442782 | + | 0.896629i | \(0.646009\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.0793 | + | 8.77615i | 0.852010 | + | 0.619022i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.94427 | + | 15.2169i | −0.347020 | + | 1.06802i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.23607 | + | 2.35114i | −0.226017 | + | 0.164211i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.423142 | − | 1.30230i | −0.0294104 | − | 0.0905159i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.62430 | − | 8.07677i | −0.180664 | − | 0.556028i | 0.819182 | − | 0.573533i | \(-0.194428\pi\) |
−0.999847 | + | 0.0175052i | \(0.994428\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.9715 | + | 7.97128i | −0.751757 | + | 0.546183i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.83955 | − | 24.1277i | 0.534653 | − | 1.64549i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.0521 | − | 10.2094i | −0.953917 | − | 0.693061i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.00000 | 0.540590 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.2462 | −0.689235 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.55268 | + | 6.94043i | 0.639695 | + | 0.464766i | 0.859745 | − | 0.510723i | \(-0.170622\pi\) |
−0.220050 | + | 0.975488i | \(0.570622\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.33351 | + | 4.10413i | −0.0889009 | + | 0.273609i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 18.7070 | − | 13.5914i | 1.24163 | − | 0.902094i | 0.243921 | − | 0.969795i | \(-0.421566\pi\) |
0.997706 | + | 0.0677010i | \(0.0215664\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.53781 | + | 13.9659i | 0.299867 | + | 0.922895i | 0.981543 | + | 0.191241i | \(0.0612513\pi\) |
−0.681676 | + | 0.731654i | \(0.738749\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.27724 | + | 7.00864i | 0.149187 | + | 0.459151i | 0.997526 | − | 0.0703033i | \(-0.0223967\pi\) |
−0.848338 | + | 0.529454i | \(0.822397\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −23.0509 | + | 16.7474i | −1.50367 | + | 1.09248i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −5.36741 | + | 16.5192i | −0.348651 | + | 1.07304i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.94549 | − | 2.86657i | −0.255213 | − | 0.185423i | 0.452821 | − | 0.891601i | \(-0.350418\pi\) |
−0.708034 | + | 0.706179i | \(0.750418\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −29.1231 | −1.87598 | −0.937992 | − | 0.346657i | \(-0.887317\pi\) | ||||
−0.937992 | + | 0.346657i | \(0.887317\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.75379 | −0.369106 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.93465 | − | 5.76486i | −0.506926 | − | 0.368303i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.33251 | − | 19.4895i | 0.402928 | − | 1.24008i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.10780 | + | 0.804864i | −0.0702040 | + | 0.0510062i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.482546 | + | 1.48512i | 0.0304581 | + | 0.0937403i | 0.965130 | − | 0.261771i | \(-0.0843066\pi\) |
−0.934672 | + | 0.355512i | \(0.884307\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.43723 | + | 10.5787i | 0.215248 | + | 0.662464i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.50901 | + | 6.90870i | −0.593156 | + | 0.430953i | −0.843443 | − | 0.537219i | \(-0.819475\pi\) |
0.250287 | + | 0.968172i | \(0.419475\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.29760 | − | 22.4597i | 0.453451 | − | 1.39558i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.32746 | + | 1.69100i | 0.144066 | + | 0.104670i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −19.1231 | −1.17918 | −0.589591 | − | 0.807702i | \(-0.700711\pi\) | ||||
−0.589591 | + | 0.807702i | \(0.700711\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 43.6155 | 2.67928 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.39159 | + | 2.46413i | 0.207562 | + | 0.150803i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.40859 | + | 19.7236i | −0.390739 | + | 1.20257i | 0.541492 | + | 0.840706i | \(0.317860\pi\) |
−0.932231 | + | 0.361864i | \(0.882140\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.0509 | + | 16.7474i | −1.40024 | + | 1.01733i | −0.405587 | + | 0.914056i | \(0.632933\pi\) |
−0.994653 | + | 0.103277i | \(0.967067\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.72074 | + | 23.7620i | 0.467281 | + | 1.43814i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.56231 | + | 17.1190i | 0.334207 | + | 1.02858i | 0.967112 | + | 0.254353i | \(0.0818624\pi\) |
−0.632905 | + | 0.774229i | \(0.718138\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.52665 | + | 1.83572i | −0.151266 | + | 0.109901i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.02036 | + | 15.4511i | −0.299489 | + | 0.921733i | 0.682187 | + | 0.731178i | \(0.261029\pi\) |
−0.981676 | + | 0.190556i | \(0.938971\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.1803 | + | 11.7557i | 0.961821 | + | 0.698804i | 0.953573 | − | 0.301162i | \(-0.0973744\pi\) |
0.00824833 | + | 0.999966i | \(0.497374\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −22.2462 | −1.31775 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.50758 | −0.207046 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.5172 | + | 7.64121i | 0.618660 | + | 0.449483i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.50917 | + | 23.1109i | −0.440195 | + | 1.35478i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.72583 | + | 1.98043i | −0.159245 | + | 0.115698i | −0.664554 | − | 0.747240i | \(-0.731378\pi\) |
0.505309 | + | 0.862938i | \(0.331378\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.59307 | + | 26.4468i | 0.500308 | + | 1.53979i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.86037 | + | 11.8810i | 0.223251 | + | 0.687096i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.9976 | − | 13.0760i | 1.03736 | − | 0.753688i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.965093 | + | 2.97025i | −0.0554431 | + | 0.170636i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.23607 | + | 2.35114i | 0.185297 | + | 0.134626i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.4924 | 1.85444 | 0.927220 | − | 0.374516i | \(-0.122191\pi\) | ||||
0.927220 | + | 0.374516i | \(0.122191\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.89098 | − | 5.73313i | −0.447456 | − | 0.325096i | 0.341134 | − | 0.940015i | \(-0.389189\pi\) |
−0.788591 | + | 0.614918i | \(0.789189\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.03077 | + | 9.32774i | −0.171309 | + | 0.527235i | −0.999446 | − | 0.0332913i | \(-0.989401\pi\) |
0.828137 | + | 0.560526i | \(0.189401\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.05329 | + | 3.67143i | −0.284721 | + | 0.206862i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.38564 | − | 13.4976i | −0.246322 | − | 0.758102i | −0.995416 | − | 0.0956380i | \(-0.969511\pi\) |
0.749094 | − | 0.662464i | \(-0.230489\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.45132 | − | 19.8551i | −0.360077 | − | 1.10820i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.47214 | − | 4.70228i | 0.360119 | − | 0.261642i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.1658 | − | 37.4424i | 0.674836 | − | 2.07693i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −15.4709 | − | 11.2403i | −0.855544 | − | 0.621589i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −24.9848 | −1.37746 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 34.9309 | 1.91997 | 0.959987 | − | 0.280044i | \(-0.0903491\pi\) | ||||
0.959987 | + | 0.280044i | \(0.0903491\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.43526 | − | 2.49586i | −0.188251 | − | 0.136772i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.5233 | − | 32.3873i | 0.574947 | − | 1.76950i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.5418 | + | 9.83872i | −0.737671 | + | 0.535949i | −0.891981 | − | 0.452073i | \(-0.850685\pi\) |
0.154310 | + | 0.988023i | \(0.450685\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.211571 | + | 0.651149i | 0.0114910 | + | 0.0353656i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.09799 | + | 12.6123i | 0.221271 | + | 0.681001i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 10.9715 | − | 7.97128i | 0.590687 | − | 0.429159i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −7.02662 | + | 21.6257i | −0.377209 | + | 1.16093i | 0.564767 | + | 0.825250i | \(0.308966\pi\) |
−0.941976 | + | 0.335680i | \(0.891034\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.0877 | − | 18.9538i | −1.39644 | − | 1.01458i | −0.995123 | − | 0.0986387i | \(-0.968551\pi\) |
−0.401321 | − | 0.915937i | \(-0.631449\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 28.4924 | 1.52081 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −24.0540 | −1.28026 | −0.640132 | − | 0.768265i | \(-0.721120\pi\) | ||||
−0.640132 | + | 0.768265i | \(0.721120\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 25.0236 | + | 18.1807i | 1.32811 | + | 0.964932i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.01409 | + | 9.27640i | −0.159522 | + | 0.490959i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.63445 | − | 2.64058i | 0.191819 | − | 0.139364i | −0.487731 | − | 0.872994i | \(-0.662175\pi\) |
0.679550 | + | 0.733630i | \(0.262175\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.927051 | − | 2.85317i | −0.0487922 | − | 0.150167i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.63839 | − | 17.3532i | −0.295127 | − | 0.908307i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.5515 | + | 13.4784i | −0.968379 | + | 0.703568i | −0.955081 | − | 0.296343i | \(-0.904233\pi\) |
−0.0132971 | + | 0.999912i | \(0.504233\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.194892 | + | 0.599815i | −0.0101457 | + | 0.0312251i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 30.9418 | + | 22.4806i | 1.60642 | + | 1.16713i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.24621 | 0.426973 | 0.213486 | − | 0.976946i | \(-0.431518\pi\) | ||||
0.213486 | + | 0.976946i | \(0.431518\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −14.9309 | −0.771027 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −21.2336 | − | 15.4271i | −1.09359 | − | 0.794538i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.0594042 | − | 0.182827i | 0.00305139 | − | 0.00939120i | −0.949519 | − | 0.313709i | \(-0.898428\pi\) |
0.952571 | + | 0.304318i | \(0.0984284\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.89098 | + | 5.73313i | −0.404267 | + | 0.293717i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.634713 | − | 1.95345i | −0.0324323 | − | 0.0998165i | 0.933530 | − | 0.358499i | \(-0.116712\pi\) |
−0.965962 | + | 0.258683i | \(0.916712\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.23607 | − | 3.80423i | −0.0628329 | − | 0.193380i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.88136 | + | 2.09343i | −0.146091 | + | 0.106141i | −0.658430 | − | 0.752642i | \(-0.728779\pi\) |
0.512339 | + | 0.858783i | \(0.328779\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.50704 | + | 4.63820i | −0.0762145 | + | 0.234564i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −16.8898 | − | 12.2711i | −0.851976 | − | 0.618997i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 39.6155 | 1.99327 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.4924 | 0.526600 | 0.263300 | − | 0.964714i | \(-0.415189\pi\) | ||||
0.263300 | + | 0.964714i | \(0.415189\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.7820 | − | 11.4663i | −0.790086 | − | 0.574031i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.42268 | − | 29.0000i | 0.470546 | − | 1.44819i | −0.381325 | − | 0.924441i | \(-0.624532\pi\) |
0.851871 | − | 0.523751i | \(-0.175468\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.0509 | − | 16.7474i | 1.14824 | − | 0.834249i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.70406 | − | 23.7107i | −0.382818 | − | 1.17819i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.95054 | − | 21.3916i | −0.343682 | − | 1.05774i | −0.962286 | − | 0.272041i | \(-0.912301\pi\) |
0.618603 | − | 0.785703i | \(-0.287699\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.6605 | + | 7.74529i | −0.525843 | + | 0.382047i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −7.53522 | + | 23.1910i | −0.370784 | + | 1.14116i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.52665 | + | 1.83572i | 0.124028 | + | 0.0901117i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 23.6155 | 1.15646 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −32.4924 | −1.58736 | −0.793679 | − | 0.608336i | \(-0.791837\pi\) | ||||
−0.793679 | + | 0.608336i | \(0.791837\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.01641 | − | 1.46501i | −0.0982739 | − | 0.0714002i | 0.537563 | − | 0.843223i | \(-0.319345\pi\) |
−0.635837 | + | 0.771823i | \(0.719345\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.38823 | + | 4.27255i | −0.0674983 | + | 0.207738i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.4340 | − | 9.03386i | 0.603139 | − | 0.438206i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.08390 | + | 3.33590i | 0.0524536 | + | 0.161436i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.38150 | − | 25.7956i | −0.403723 | − | 1.24253i | −0.921957 | − | 0.387292i | \(-0.873411\pi\) |
0.518234 | − | 0.855239i | \(-0.326589\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.3523 | − | 13.3337i | 0.881954 | − | 0.640777i | −0.0518137 | − | 0.998657i | \(-0.516500\pi\) |
0.933768 | + | 0.357880i | \(0.116500\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.80464 | + | 27.0979i | −0.422150 | + | 1.29925i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −7.89098 | − | 5.73313i | −0.377477 | − | 0.274253i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.49242 | −0.214412 | −0.107206 | − | 0.994237i | \(-0.534190\pi\) | ||||
−0.107206 | + | 0.994237i | \(0.534190\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.54640 | −0.0736380 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −9.15430 | − | 6.65099i | −0.434934 | − | 0.315998i | 0.348685 | − | 0.937240i | \(-0.386628\pi\) |
−0.783619 | + | 0.621242i | \(0.786628\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.95468 | − | 9.09358i | 0.140065 | − | 0.431077i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.36434 | + | 3.89742i | −0.253724 | + | 0.184342i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.2935 | − | 34.7577i | −0.532971 | − | 1.64032i | −0.747992 | − | 0.663707i | \(-0.768982\pi\) |
0.215021 | − | 0.976609i | \(-0.431018\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.52113 | − | 13.9146i | −0.212421 | − | 0.653765i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 46.1017 | − | 33.4949i | 2.16128 | − | 1.57026i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.37368 | + | 22.6939i | −0.344926 | + | 1.06157i | 0.616697 | + | 0.787201i | \(0.288470\pi\) |
−0.961623 | + | 0.274373i | \(0.911530\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 8.99878 | + | 6.53800i | 0.420027 | + | 0.305168i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.12311 | −0.0523082 | −0.0261541 | − | 0.999658i | \(-0.508326\pi\) | ||||
−0.0261541 | + | 0.999658i | \(0.508326\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3153 | 0.711764 | 0.355882 | − | 0.934531i | \(-0.384180\pi\) | ||||
0.355882 | + | 0.934531i | \(0.384180\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −25.0236 | − | 18.1807i | −1.16044 | − | 0.843110i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.74524 | − | 26.9151i | 0.404681 | − | 1.24548i | −0.516480 | − | 0.856299i | \(-0.672758\pi\) |
0.921161 | − | 0.389182i | \(-0.127242\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.1587 | − | 17.5523i | 1.11554 | − | 0.810489i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.14176 | + | 6.59165i | 0.0986869 | + | 0.303727i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.49876 | + | 29.2342i | 0.435833 | + | 1.34136i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.56352 | − | 4.04214i | 0.254736 | − | 0.185077i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.94427 | − | 15.2169i | 0.225910 | − | 0.695278i | −0.772288 | − | 0.635272i | \(-0.780888\pi\) |
0.998198 | − | 0.0600061i | \(-0.0191120\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 31.3402 | + | 22.7700i | 1.42899 | + | 1.03822i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.8920 | 0.541107 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 55.4233 | 2.51664 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.0793 | − | 8.77615i | −0.547367 | − | 0.397685i | 0.279447 | − | 0.960161i | \(-0.409849\pi\) |
−0.826814 | + | 0.562476i | \(0.809849\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.93019 | − | 5.94050i | 0.0872860 | − | 0.268639i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.1270 | − | 8.08427i | 0.502157 | − | 0.364838i | −0.307683 | − | 0.951489i | \(-0.599554\pi\) |
0.809840 | + | 0.586651i | \(0.199554\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.16625 | − | 9.74473i | −0.142601 | − | 0.438880i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.38150 | + | 25.7956i | 0.375962 | + | 1.15709i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.4492 | − | 17.0369i | 1.04973 | − | 0.762675i | 0.0775704 | − | 0.996987i | \(-0.475284\pi\) |
0.972161 | + | 0.234312i | \(0.0752838\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.86037 | − | 11.8810i | 0.172469 | − | 0.530804i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −25.5775 | − | 18.5831i | −1.14044 | − | 0.828581i | −0.153263 | − | 0.988185i | \(-0.548978\pi\) |
−0.987181 | + | 0.159604i | \(0.948978\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.12311 | 0.316974 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.6847 | −0.918638 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 14.8052 | + | 10.7566i | 0.656227 | + | 0.476777i | 0.865387 | − | 0.501105i | \(-0.167073\pi\) |
−0.209160 | + | 0.977882i | \(0.567073\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.94427 | − | 15.2169i | 0.218722 | − | 0.673156i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −17.9976 | + | 13.0760i | −0.794612 | + | 0.577319i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.90936 | + | 18.1872i | 0.259392 | + | 0.798327i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.06413 | + | 0.773138i | −0.0466205 | + | 0.0338718i | −0.610851 | − | 0.791745i | \(-0.709173\pi\) |
0.564231 | + | 0.825617i | \(0.309173\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.70820 | − | 11.4127i | 0.162148 | − | 0.499042i | −0.836666 | − | 0.547713i | \(-0.815499\pi\) |
0.998815 | + | 0.0486712i | \(0.0154987\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −30.3197 | − | 22.0286i | −1.32326 | − | 0.961406i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11.1231 | 0.484530 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.0540 | −0.741477 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.54711 | + | 2.57713i | 0.153932 | + | 0.111838i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.77802 | − | 5.47218i | 0.0770145 | − | 0.237026i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −38.5218 | + | 27.9877i | −1.66544 | + | 1.21001i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.10685 | + | 9.56190i | 0.134070 | + | 0.412626i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.37368 | + | 22.6939i | 0.317019 | + | 0.975685i | 0.974915 | + | 0.222576i | \(0.0714467\pi\) |
−0.657896 | + | 0.753109i | \(0.728553\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.66170 | + | 1.20730i | −0.0713104 | + | 0.0518100i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −13.4779 | + | 41.4808i | −0.577331 | + | 1.77684i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −34.1779 | − | 24.8317i | −1.46134 | − | 1.06173i | −0.983011 | − | 0.183547i | \(-0.941242\pi\) |
−0.478331 | − | 0.878180i | \(-0.658758\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.630683 | 0.0269169 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 20.4924 | 0.873007 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.1041 | + | 20.4189i | 1.19511 | + | 0.868298i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 12.9954 | − | 39.9957i | 0.551624 | − | 1.69772i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.03688 | + | 2.20642i | −0.128677 | + | 0.0934891i | −0.650262 | − | 0.759710i | \(-0.725341\pi\) |
0.521585 | + | 0.853199i | \(0.325341\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 11.2768 | + | 34.7064i | 0.476957 | + | 1.46792i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.56857 | − | 23.2937i | −0.318977 | − | 0.981711i | −0.974086 | − | 0.226177i | \(-0.927377\pi\) |
0.655109 | − | 0.755535i | \(-0.272623\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.26332 | − | 0.917858i | 0.0531484 | − | 0.0386146i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 6.75565 | − | 20.7917i | 0.283711 | − | 0.873171i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −21.7439 | − | 15.7978i | −0.911550 | − | 0.662280i | 0.0298562 | − | 0.999554i | \(-0.490495\pi\) |
−0.941406 | + | 0.337274i | \(0.890495\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.4924 | −0.690186 | −0.345093 | − | 0.938568i | \(-0.612153\pi\) | ||||
−0.345093 | + | 0.938568i | \(0.612153\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 16.3002 | 0.680950 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −15.1599 | − | 11.0143i | −0.632210 | − | 0.459328i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.80878 | − | 14.7999i | 0.200192 | − | 0.616129i | −0.799684 | − | 0.600421i | \(-0.795000\pi\) |
0.999877 | − | 0.0157079i | \(-0.00500018\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.5254 | − | 8.37371i | 0.478980 | − | 0.348000i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.846284 | + | 2.60460i | 0.0351098 | + | 0.108057i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.16625 | − | 9.74473i | −0.130908 | − | 0.402895i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 19.8148 | − | 14.3963i | 0.817844 | − | 0.594198i | −0.0982503 | − | 0.995162i | \(-0.531325\pi\) |
0.916094 | + | 0.400963i | \(0.131325\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.87446 | + | 21.1574i | −0.283257 | + | 0.871776i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 18.3086 | + | 13.3020i | 0.753115 | + | 0.547170i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.36932 | −0.138361 | −0.0691806 | − | 0.997604i | \(-0.522038\pi\) | ||||
−0.0691806 | + | 0.997604i | \(0.522038\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 22.2462 | 0.912006 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −15.7820 | − | 11.4663i | −0.645913 | − | 0.469283i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.94427 | + | 15.2169i | −0.202017 | + | 0.621746i | 0.797805 | + | 0.602915i | \(0.205994\pi\) |
−0.999823 | + | 0.0188306i | \(0.994006\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.03688 | − | 2.20642i | 0.123877 | − | 0.0900018i | −0.524122 | − | 0.851643i | \(-0.675606\pi\) |
0.647999 | + | 0.761642i | \(0.275606\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.65921 | − | 5.10652i | −0.0675683 | − | 0.207954i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.1721 | + | 43.6171i | 0.575226 | + | 1.77036i | 0.635408 | + | 0.772176i | \(0.280832\pi\) |
−0.0601823 | + | 0.998187i | \(0.519168\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.2132 | + | 14.6857i | −0.819079 | + | 0.595096i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.6650 | − | 38.9789i | 0.512372 | − | 1.57692i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.59635 | + | 6.97216i | 0.387593 | + | 0.281603i | 0.764468 | − | 0.644661i | \(-0.223002\pi\) |
−0.376876 | + | 0.926264i | \(0.623002\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.24621 | −0.251872 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.49242 | −0.100341 | −0.0501706 | − | 0.998741i | \(-0.515976\pi\) | ||||
−0.0501706 | + | 0.998741i | \(0.515976\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.3154 | − | 11.1273i | −0.615578 | − | 0.447243i | 0.235796 | − | 0.971802i | \(-0.424230\pi\) |
−0.851374 | + | 0.524559i | \(0.824230\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.19075 | − | 12.8978i | 0.168169 | − | 0.517571i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.78318 | − | 4.92827i | 0.271762 | − | 0.197447i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.35019 | − | 4.15547i | −0.0540077 | − | 0.166219i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.67330 | + | 14.3829i | 0.186337 | + | 0.573485i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 34.0224 | − | 24.7187i | 1.35441 | − | 0.984036i | 0.355631 | − | 0.934626i | \(-0.384266\pi\) |
0.998779 | − | 0.0494097i | \(-0.0157340\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.09799 | − | 12.6123i | 0.162880 | − | 0.501294i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 17.9976 | + | 13.0760i | 0.714212 | + | 0.518905i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.1080 | 0.558977 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.87689 | 0.192927 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 37.4576 | + | 27.2146i | 1.47949 | + | 1.07491i | 0.977721 | + | 0.209908i | \(0.0673163\pi\) |
0.501767 | + | 0.865003i | \(0.332684\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.83587 | + | 8.72792i | −0.111836 | + | 0.344196i | −0.991274 | − | 0.131818i | \(-0.957919\pi\) |
0.879438 | + | 0.476013i | \(0.157919\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 32.0496 | − | 23.2854i | 1.26195 | − | 0.916863i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.19075 | + | 12.8978i | 0.164755 | + | 0.507065i | 0.999018 | − | 0.0443021i | \(-0.0141064\pi\) |
−0.834263 | + | 0.551367i | \(0.814106\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.38150 | − | 25.7956i | −0.328497 | − | 1.01101i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −28.4589 | + | 20.6766i | −1.11368 | + | 0.809137i | −0.983239 | − | 0.182319i | \(-0.941640\pi\) |
−0.130442 | + | 0.991456i | \(0.541640\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.7140 | + | 45.2851i | −0.574924 | + | 1.76943i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.32746 | − | 1.69100i | −0.0908027 | − | 0.0659720i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.6155 | 0.452477 | 0.226238 | − | 0.974072i | \(-0.427357\pi\) | ||||
0.226238 | + | 0.974072i | \(0.427357\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 41.8078 | 1.62613 | 0.813067 | − | 0.582170i | \(-0.197796\pi\) | ||||
0.813067 | + | 0.582170i | \(0.197796\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −12.9443 | − | 9.40456i | −0.502714 | − | 0.365243i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −13.7489 | + | 42.3148i | −0.533160 | + | 1.64090i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.1066 | + | 7.34286i | −0.391328 | + | 0.284317i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 5.69779 | + | 17.5360i | 0.220289 | + | 0.677981i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.2690 | − | 31.6046i | −0.395839 | − | 1.21827i | −0.928306 | − | 0.371817i | \(-0.878735\pi\) |
0.532467 | − | 0.846451i | \(-0.321265\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −34.5763 | + | 25.1211i | −1.33084 | + | 0.966913i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.40859 | − | 19.7236i | 0.246302 | − | 0.758040i | −0.749117 | − | 0.662437i | \(-0.769522\pi\) |
0.995420 | − | 0.0956028i | \(-0.0304779\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 39.3185 | + | 28.5666i | 1.50891 | + | 1.09628i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 36.1080 | 1.38366 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.73863 | 0.257847 | 0.128923 | − | 0.991655i | \(-0.458848\pi\) | ||||
0.128923 | + | 0.991655i | \(0.458848\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.3142 | + | 17.6653i | 0.928997 | + | 0.674956i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −7.08603 | + | 21.8086i | −0.270349 | + | 0.832048i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −50.7566 | + | 36.8768i | −1.93367 | + | 1.40490i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.07349 | − | 9.45923i | −0.116921 | − | 0.359846i | 0.875422 | − | 0.483360i | \(-0.160584\pi\) |
−0.992343 | + | 0.123514i | \(0.960584\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −16.6442 | − | 51.2256i | −0.631350 | − | 1.94310i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.81722 | − | 1.32029i | 0.0688322 | − | 0.0500095i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.55604 | + | 10.9444i | −0.134502 | + | 0.413954i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.8492 | + | 29.6787i | 1.54285 | + | 1.12095i | 0.948514 | + | 0.316735i | \(0.102587\pi\) |
0.594340 | + | 0.804214i | \(0.297413\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −30.2462 | −1.14076 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −44.4924 | −1.67568 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.05329 | + | 3.67143i | 0.190049 | + | 0.138078i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.677438 | − | 2.08494i | 0.0254417 | − | 0.0783016i | −0.937529 | − | 0.347906i | \(-0.886893\pi\) |
0.962971 | + | 0.269604i | \(0.0868929\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.05329 | − | 3.67143i | 0.189513 | − | 0.137689i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4.19075 | − | 12.8978i | −0.156945 | − | 0.483027i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.35333 | − | 7.24280i | −0.0878866 | − | 0.270487i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −28.6580 | + | 20.8213i | −1.06876 | + | 0.776503i | −0.975690 | − | 0.219156i | \(-0.929670\pi\) |
−0.0930749 | + | 0.995659i | \(0.529670\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −36.7919 | − | 26.7309i | −1.36830 | − | 0.994132i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 39.3693 | 1.46214 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.3153 | −0.864718 | −0.432359 | − | 0.901702i | \(-0.642319\pi\) | ||||
−0.432359 | + | 0.901702i | \(0.642319\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.2582 | − | 17.6246i | −0.898454 | − | 0.652765i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.40232 | + | 13.5490i | −0.162826 | + | 0.501126i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.908612 | − | 0.660145i | 0.0335603 | − | 0.0243830i | −0.570879 | − | 0.821034i | \(-0.693397\pi\) |
0.604439 | + | 0.796651i | \(0.293397\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.73270 | − | 14.5658i | −0.174568 | − | 0.537266i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.812926 | + | 2.50193i | 0.0299040 | + | 0.0920349i | 0.964895 | − | 0.262638i | \(-0.0845924\pi\) |
−0.934991 | + | 0.354673i | \(0.884592\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 25.8885 | − | 18.8091i | 0.951039 | − | 0.690971i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.31842 | + | 10.2130i | −0.121741 | + | 0.374680i | −0.993293 | − | 0.115622i | \(-0.963114\pi\) |
0.871552 | + | 0.490303i | \(0.163114\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.2348 | + | 8.88914i | 0.448250 | + | 0.325673i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.492423 | 0.0180168 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −41.7538 | −1.52565 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.49939 | − | 3.26900i | −0.164185 | − | 0.119287i | 0.502659 | − | 0.864485i | \(-0.332355\pi\) |
−0.666844 | + | 0.745197i | \(0.732355\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.753522 | + | 2.31910i | −0.0274599 | + | 0.0845127i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −26.9963 | + | 19.6140i | −0.982498 | + | 0.713826i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.86819 | + | 14.9827i | 0.176937 | + | 0.544557i | 0.999717 | − | 0.0238039i | \(-0.00757773\pi\) |
−0.822779 | + | 0.568361i | \(0.807578\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.58313 | − | 4.87236i | −0.0573883 | − | 0.176623i | 0.918253 | − | 0.395993i | \(-0.129600\pi\) |
−0.975642 | + | 0.219370i | \(0.929600\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −30.9418 | + | 22.4806i | −1.12017 | + | 0.813851i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.23607 | − | 3.80423i | 0.0446901 | − | 0.137542i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −32.3607 | − | 23.5114i | −1.16848 | − | 0.848948i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −25.6155 | −0.923720 | −0.461860 | − | 0.886953i | \(-0.652818\pi\) | ||||
−0.461860 | + | 0.886953i | \(0.652818\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.3542 | −0.661009 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −32.9582 | − | 23.9456i | −1.18543 | − | 0.861262i | −0.192652 | − | 0.981267i | \(-0.561709\pi\) |
−0.992773 | + | 0.120005i | \(0.961709\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.2070 | + | 40.6469i | −0.474408 | + | 1.46008i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 29.8340 | − | 21.6757i | 1.07029 | − | 0.777611i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.38823 | + | 4.27255i | 0.0497387 | + | 0.153080i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.80464 | + | 27.0979i | 0.314652 | + | 0.968400i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12.7887 | − | 9.29157i | 0.456450 | − | 0.331630i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.19443 | − | 28.2975i | 0.327746 | − | 1.00870i | −0.642440 | − | 0.766336i | \(-0.722078\pi\) |
0.970186 | − | 0.242362i | \(-0.0779222\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −24.1587 | − | 17.5523i | −0.860071 | − | 0.624878i | ||||