Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.1 | ||
Root | \(-0.642788 + 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.n.406.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32683 | + | 1.11334i | −0.938209 | + | 0.787251i | −0.977273 | − | 0.211986i | \(-0.932007\pi\) |
0.0390637 | + | 0.999237i | \(0.487562\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 3.25519 | − | 1.18479i | 1.45577 | − | 0.529855i | 0.511570 | − | 0.859241i | \(-0.329064\pi\) |
0.944195 | + | 0.329386i | \(0.106842\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.173648 | − | 0.984808i | −0.0656328 | − | 0.372222i | −0.999878 | − | 0.0155920i | \(-0.995037\pi\) |
0.934246 | − | 0.356630i | \(-0.116074\pi\) | |||||||
\(8\) | −0.866025 | − | 1.50000i | −0.306186 | − | 0.530330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.00000 | + | 5.19615i | −0.948683 | + | 1.64317i | ||||
\(11\) | −3.25519 | − | 1.18479i | −0.981477 | − | 0.357228i | −0.199063 | − | 0.979987i | \(-0.563790\pi\) |
−0.782414 | + | 0.622758i | \(0.786012\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.83022 | + | 3.21394i | 1.06231 | + | 0.891386i | 0.994334 | − | 0.106301i | \(-0.0339006\pi\) |
0.0679785 | + | 0.997687i | \(0.478345\pi\) | |||||||
\(14\) | 1.32683 | + | 1.11334i | 0.354610 | + | 0.297553i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.69846 | + | 1.71010i | 1.17462 | + | 0.427525i | ||||
\(17\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | + | 0.866025i | 0.114708 | + | 0.198680i | 0.917663 | − | 0.397360i | \(-0.130073\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | −0.601535 | − | 3.41147i | −0.134507 | − | 0.762829i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.63816 | − | 2.05212i | 1.20206 | − | 0.437514i | ||||
\(23\) | 1.20307 | − | 6.82295i | 0.250857 | − | 1.42268i | −0.555629 | − | 0.831430i | \(-0.687522\pi\) |
0.806486 | − | 0.591253i | \(-0.201366\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.36231 | − | 4.49951i | 1.07246 | − | 0.899903i | ||||
\(26\) | −8.66025 | −1.69842 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | 2.65366 | − | 2.22668i | 0.492772 | − | 0.413484i | −0.362247 | − | 0.932082i | \(-0.617990\pi\) |
0.855018 | + | 0.518598i | \(0.173546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.868241 | − | 4.92404i | 0.155941 | − | 0.884383i | −0.801980 | − | 0.597351i | \(-0.796220\pi\) |
0.957921 | − | 0.287033i | \(-0.0926689\pi\) | |||||||
\(32\) | −4.88279 | + | 1.77719i | −0.863163 | + | 0.314166i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.73205 | − | 3.00000i | −0.292770 | − | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | −1.62760 | − | 0.592396i | −0.264031 | − | 0.0960994i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.59627 | − | 3.85673i | −0.726734 | − | 0.609802i | ||||
\(41\) | −2.65366 | − | 2.22668i | −0.414431 | − | 0.347749i | 0.411609 | − | 0.911361i | \(-0.364967\pi\) |
−0.826040 | + | 0.563611i | \(0.809412\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.939693 | + | 0.342020i | 0.143302 | + | 0.0521576i | 0.412675 | − | 0.910878i | \(-0.364594\pi\) |
−0.269374 | + | 0.963036i | \(0.586817\pi\) | |||||||
\(44\) | −1.73205 | + | 3.00000i | −0.261116 | + | 0.452267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.00000 | + | 10.3923i | 0.884652 | + | 1.53226i | ||||
\(47\) | 0.601535 | + | 3.41147i | 0.0877429 | + | 0.497615i | 0.996731 | + | 0.0807925i | \(0.0257451\pi\) |
−0.908988 | + | 0.416822i | \(0.863144\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.63816 | − | 2.05212i | 0.805451 | − | 0.293160i | ||||
\(50\) | −2.10537 | + | 11.9402i | −0.297745 | + | 1.68859i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.83022 | − | 3.21394i | 0.531156 | − | 0.445693i | ||||
\(53\) | 10.3923 | 1.42749 | 0.713746 | − | 0.700404i | \(-0.246997\pi\) | ||||
0.713746 | + | 0.700404i | \(0.246997\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −12.0000 | −1.61808 | ||||||||
\(56\) | −1.32683 | + | 1.11334i | −0.177305 | + | 0.148776i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.04189 | + | 5.90885i | −0.136807 | + | 0.775870i | ||||
\(59\) | 3.25519 | − | 1.18479i | 0.423790 | − | 0.154247i | −0.121316 | − | 0.992614i | \(-0.538712\pi\) |
0.545106 | + | 0.838367i | \(0.316489\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.347296 | + | 1.96962i | 0.0444667 | + | 0.252183i | 0.998936 | − | 0.0461272i | \(-0.0146880\pi\) |
−0.954469 | + | 0.298311i | \(0.903577\pi\) | |||||||
\(62\) | 4.33013 | + | 7.50000i | 0.549927 | + | 0.952501i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 16.2760 | + | 5.92396i | 2.01878 | + | 0.734777i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.12836 | + | 5.14230i | 0.748698 | + | 0.628232i | 0.935158 | − | 0.354230i | \(-0.115257\pi\) |
−0.186460 | + | 0.982462i | \(0.559702\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.63816 | + | 2.05212i | 0.673889 | + | 0.245275i | ||||
\(71\) | 5.19615 | − | 9.00000i | 0.616670 | − | 1.06810i | −0.373419 | − | 0.927663i | \(-0.621815\pi\) |
0.990089 | − | 0.140441i | \(-0.0448520\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.00000 | − | 1.73205i | −0.117041 | − | 0.202721i | 0.801553 | − | 0.597924i | \(-0.204008\pi\) |
−0.918594 | + | 0.395203i | \(0.870674\pi\) | |||||||
\(74\) | 0.300767 | + | 1.70574i | 0.0349635 | + | 0.198288i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.939693 | − | 0.342020i | 0.107790 | − | 0.0392324i | ||||
\(77\) | −0.601535 | + | 3.41147i | −0.0685513 | + | 0.388774i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.766044 | + | 0.642788i | −0.0861867 | + | 0.0723193i | −0.684863 | − | 0.728672i | \(-0.740138\pi\) |
0.598676 | + | 0.800991i | \(0.295694\pi\) | |||||||
\(80\) | 17.3205 | 1.93649 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.00000 | 0.662589 | ||||||||
\(83\) | −5.30731 | + | 4.45336i | −0.582553 | + | 0.488820i | −0.885784 | − | 0.464097i | \(-0.846379\pi\) |
0.303231 | + | 0.952917i | \(0.401935\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.62760 | + | 0.592396i | −0.175508 | + | 0.0638797i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.04189 | + | 5.90885i | 0.111066 | + | 0.629885i | ||||
\(89\) | 5.19615 | + | 9.00000i | 0.550791 | + | 0.953998i | 0.998218 | + | 0.0596775i | \(0.0190072\pi\) |
−0.447427 | + | 0.894321i | \(0.647659\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.50000 | − | 4.33013i | 0.262071 | − | 0.453921i | ||||
\(92\) | −6.51038 | − | 2.36959i | −0.678754 | − | 0.247046i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.59627 | − | 3.85673i | −0.474069 | − | 0.397791i | ||||
\(95\) | 2.65366 | + | 2.22668i | 0.272259 | + | 0.228453i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.9748 | − | 5.81434i | −1.62199 | − | 0.590357i | −0.638232 | − | 0.769844i | \(-0.720334\pi\) |
−0.983760 | + | 0.179487i | \(0.942556\pi\) | |||||||
\(98\) | −5.19615 | + | 9.00000i | −0.524891 | + | 0.909137i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.50000 | − | 6.06218i | −0.350000 | − | 0.606218i | ||||
\(101\) | 2.40614 | + | 13.6459i | 0.239420 | + | 1.35782i | 0.833103 | + | 0.553118i | \(0.186562\pi\) |
−0.593683 | + | 0.804699i | \(0.702327\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.51754 | + | 2.73616i | −0.740725 | + | 0.269602i | −0.684698 | − | 0.728827i | \(-0.740066\pi\) |
−0.0560277 | + | 0.998429i | \(0.517844\pi\) | |||||||
\(104\) | 1.50384 | − | 8.52869i | 0.147463 | − | 0.836306i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.7888 | + | 11.5702i | −1.33929 | + | 1.12379i | ||||
\(107\) | −10.3923 | −1.00466 | −0.502331 | − | 0.864675i | \(-0.667524\pi\) | ||||
−0.502331 | + | 0.864675i | \(0.667524\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.0000 | 1.62830 | 0.814152 | − | 0.580651i | \(-0.197202\pi\) | ||||
0.814152 | + | 0.580651i | \(0.197202\pi\) | |||||||
\(110\) | 15.9219 | − | 13.3601i | 1.51810 | − | 1.27383i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.868241 | − | 4.92404i | 0.0820411 | − | 0.465278i | ||||
\(113\) | −16.2760 | + | 5.92396i | −1.53111 | + | 0.557280i | −0.963894 | − | 0.266287i | \(-0.914203\pi\) |
−0.567219 | + | 0.823567i | \(0.691981\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.16756 | − | 23.6354i | −0.388627 | − | 2.20401i | ||||
\(116\) | −1.73205 | − | 3.00000i | −0.160817 | − | 0.278543i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.00000 | + | 5.19615i | −0.276172 | + | 0.478345i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.766044 | + | 0.642788i | 0.0696404 | + | 0.0584352i | ||||
\(122\) | −2.65366 | − | 2.22668i | −0.240251 | − | 0.201594i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.69846 | − | 1.71010i | −0.421934 | − | 0.153572i | ||||
\(125\) | 3.46410 | − | 6.00000i | 0.309839 | − | 0.536656i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.50000 | − | 14.7224i | −0.754253 | − | 1.30640i | −0.945745 | − | 0.324910i | \(-0.894666\pi\) |
0.191492 | − | 0.981494i | \(-0.438667\pi\) | |||||||
\(128\) | −2.10537 | − | 11.9402i | −0.186090 | − | 1.05537i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −28.1908 | + | 10.2606i | −2.47249 | + | 0.899915i | ||||
\(131\) | −0.601535 | + | 3.41147i | −0.0525564 | + | 0.298062i | −0.999744 | − | 0.0226174i | \(-0.992800\pi\) |
0.947188 | + | 0.320679i | \(0.103911\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.766044 | − | 0.642788i | 0.0664245 | − | 0.0557368i | ||||
\(134\) | −13.8564 | −1.19701 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −5.30731 | + | 4.45336i | −0.453434 | + | 0.380476i | −0.840708 | − | 0.541488i | \(-0.817861\pi\) |
0.387274 | + | 0.921965i | \(0.373417\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.25743 | + | 12.8025i | −0.191472 | + | 1.08589i | 0.725881 | + | 0.687820i | \(0.241432\pi\) |
−0.917353 | + | 0.398074i | \(0.869679\pi\) | |||||||
\(140\) | −3.25519 | + | 1.18479i | −0.275114 | + | 0.100133i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.12567 | + | 17.7265i | 0.262300 | + | 1.48758i | ||||
\(143\) | −8.66025 | − | 15.0000i | −0.724207 | − | 1.25436i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.00000 | − | 10.3923i | 0.498273 | − | 0.863034i | ||||
\(146\) | 3.25519 | + | 1.18479i | 0.269402 | + | 0.0980541i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.766044 | − | 0.642788i | −0.0629685 | − | 0.0528368i | ||||
\(149\) | 5.30731 | + | 4.45336i | 0.434792 | + | 0.364834i | 0.833756 | − | 0.552133i | \(-0.186186\pi\) |
−0.398964 | + | 0.916966i | \(0.630630\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.0351 | + | 5.47232i | 1.22354 | + | 0.445331i | 0.871380 | − | 0.490609i | \(-0.163226\pi\) |
0.352158 | + | 0.935941i | \(0.385448\pi\) | |||||||
\(152\) | 0.866025 | − | 1.50000i | 0.0702439 | − | 0.121666i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.00000 | − | 5.19615i | −0.241747 | − | 0.418718i | ||||
\(155\) | −3.00767 | − | 17.0574i | −0.241582 | − | 1.37008i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.2160 | − | 4.44626i | 0.974943 | − | 0.354850i | 0.195071 | − | 0.980789i | \(-0.437506\pi\) |
0.779872 | + | 0.625939i | \(0.215284\pi\) | |||||||
\(158\) | 0.300767 | − | 1.70574i | 0.0239278 | − | 0.135701i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −13.7888 | + | 11.5702i | −1.09010 | + | 0.914703i | ||||
\(161\) | −6.92820 | −0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.00000 | −0.0783260 | −0.0391630 | − | 0.999233i | \(-0.512469\pi\) | ||||
−0.0391630 | + | 0.999233i | \(0.512469\pi\) | |||||||
\(164\) | −2.65366 | + | 2.22668i | −0.207216 | + | 0.173875i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.08378 | − | 11.8177i | 0.161733 | − | 0.917231i | ||||
\(167\) | 22.7863 | − | 8.29355i | 1.76326 | − | 0.641774i | 0.763269 | − | 0.646081i | \(-0.223593\pi\) |
0.999991 | + | 0.00430705i | \(0.00137098\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.08378 | + | 11.8177i | 0.160291 | + | 0.909053i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.500000 | − | 0.866025i | 0.0381246 | − | 0.0660338i | ||||
\(173\) | −13.0208 | − | 4.73917i | −0.989950 | − | 0.360312i | −0.204249 | − | 0.978919i | \(-0.565475\pi\) |
−0.785701 | + | 0.618606i | \(0.787698\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.36231 | − | 4.49951i | −0.405353 | − | 0.340131i | ||||
\(176\) | −13.2683 | − | 11.1334i | −1.00013 | − | 0.839212i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −16.9145 | − | 6.15636i | −1.26779 | − | 0.461439i | ||||
\(179\) | −10.3923 | + | 18.0000i | −0.776757 | + | 1.34538i | 0.157044 | + | 0.987592i | \(0.449804\pi\) |
−0.933801 | + | 0.357792i | \(0.883530\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.50000 | − | 14.7224i | −0.631800 | − | 1.09431i | −0.987184 | − | 0.159589i | \(-0.948983\pi\) |
0.355383 | − | 0.934721i | \(-0.384350\pi\) | |||||||
\(182\) | 1.50384 | + | 8.52869i | 0.111472 | + | 0.632188i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.2763 | + | 4.10424i | −0.831301 | + | 0.302569i | ||||
\(185\) | 0.601535 | − | 3.41147i | 0.0442257 | − | 0.250817i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 3.46410 | 0.252646 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | −5.30731 | + | 4.45336i | −0.384024 | + | 0.322234i | −0.814280 | − | 0.580473i | \(-0.802868\pi\) |
0.430256 | + | 0.902707i | \(0.358423\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.73648 | + | 9.84808i | −0.124995 | + | 0.708880i | 0.856316 | + | 0.516452i | \(0.172747\pi\) |
−0.981311 | + | 0.192428i | \(0.938364\pi\) | |||||||
\(194\) | 27.6691 | − | 10.0707i | 1.98653 | − | 0.723037i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.04189 | − | 5.90885i | −0.0744206 | − | 0.422060i | ||||
\(197\) | −5.19615 | − | 9.00000i | −0.370211 | − | 0.641223i | 0.619387 | − | 0.785086i | \(-0.287381\pi\) |
−0.989598 | + | 0.143862i | \(0.954048\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.50000 | − | 16.4545i | 0.673437 | − | 1.16643i | −0.303486 | − | 0.952836i | \(-0.598151\pi\) |
0.976923 | − | 0.213591i | \(-0.0685161\pi\) | |||||||
\(200\) | −11.3932 | − | 4.14677i | −0.805619 | − | 0.293221i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −18.3851 | − | 15.4269i | −1.29357 | − | 1.08543i | ||||
\(203\) | −2.65366 | − | 2.22668i | −0.186250 | − | 0.156282i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.2763 | − | 4.10424i | −0.787572 | − | 0.286653i | ||||
\(206\) | 6.92820 | − | 12.0000i | 0.482711 | − | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.5000 | + | 21.6506i | 0.866719 | + | 1.50120i | ||||
\(209\) | −0.601535 | − | 3.41147i | −0.0416090 | − | 0.235977i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.69846 | + | 1.71010i | −0.323456 | + | 0.117728i | −0.498644 | − | 0.866807i | \(-0.666169\pi\) |
0.175189 | + | 0.984535i | \(0.443946\pi\) | |||||||
\(212\) | 1.80460 | − | 10.2344i | 0.123941 | − | 0.702903i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 13.7888 | − | 11.5702i | 0.942583 | − | 0.790921i | ||||
\(215\) | 3.46410 | 0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.00000 | −0.339422 | ||||||||
\(218\) | −22.5561 | + | 18.9268i | −1.52769 | + | 1.28188i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.08378 | + | 11.8177i | −0.140488 | + | 0.796749i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.29932 | − | 18.7113i | −0.220938 | − | 1.25300i | −0.870299 | − | 0.492524i | \(-0.836074\pi\) |
0.649360 | − | 0.760481i | \(-0.275037\pi\) | |||||||
\(224\) | 2.59808 | + | 4.50000i | 0.173591 | + | 0.300669i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 15.0000 | − | 25.9808i | 0.997785 | − | 1.72821i | ||||
\(227\) | −13.0208 | − | 4.73917i | −0.864218 | − | 0.314550i | −0.128395 | − | 0.991723i | \(-0.540982\pi\) |
−0.735824 | + | 0.677173i | \(0.763205\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.83022 | + | 3.21394i | 0.253108 | + | 0.212383i | 0.760509 | − | 0.649327i | \(-0.224949\pi\) |
−0.507401 | + | 0.861710i | \(0.669394\pi\) | |||||||
\(230\) | 31.8439 | + | 26.7202i | 2.09972 | + | 1.76188i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.63816 | − | 2.05212i | −0.370163 | − | 0.134728i | ||||
\(233\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | + | 10.3923i | 0.391397 | + | 0.677919i | ||||
\(236\) | −0.601535 | − | 3.41147i | −0.0391566 | − | 0.222068i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.20307 | − | 6.82295i | 0.0778201 | − | 0.441340i | −0.920856 | − | 0.389903i | \(-0.872509\pi\) |
0.998676 | − | 0.0514372i | \(-0.0163802\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.5548 | + | 12.2130i | −0.937560 | + | 0.786706i | −0.977159 | − | 0.212509i | \(-0.931836\pi\) |
0.0395991 | + | 0.999216i | \(0.487392\pi\) | |||||||
\(242\) | −1.73205 | −0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.00000 | 0.128037 | ||||||||
\(245\) | 15.9219 | − | 13.3601i | 1.01722 | − | 0.853545i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.868241 | + | 4.92404i | −0.0552448 | + | 0.313309i | ||||
\(248\) | −8.13798 | + | 2.96198i | −0.516762 | + | 0.188086i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.08378 | + | 11.8177i | 0.131790 | + | 0.747417i | ||||
\(251\) | 10.3923 | + | 18.0000i | 0.655956 | + | 1.13615i | 0.981653 | + | 0.190676i | \(0.0610679\pi\) |
−0.325697 | + | 0.945474i | \(0.605599\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.0000 | + | 20.7846i | −0.754434 | + | 1.30672i | ||||
\(254\) | 27.6691 | + | 10.0707i | 1.73612 | + | 0.631894i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.5548 | + | 12.2130i | 0.909678 | + | 0.763310i | ||||
\(257\) | −2.65366 | − | 2.22668i | −0.165531 | − | 0.138897i | 0.556260 | − | 0.831009i | \(-0.312236\pi\) |
−0.721790 | + | 0.692112i | \(0.756680\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.939693 | − | 0.342020i | −0.0583897 | − | 0.0212521i | ||||
\(260\) | 8.66025 | − | 15.0000i | 0.537086 | − | 0.930261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | − | 5.19615i | −0.185341 | − | 0.321019i | ||||
\(263\) | 2.40614 | + | 13.6459i | 0.148369 | + | 0.841442i | 0.964600 | + | 0.263717i | \(0.0849484\pi\) |
−0.816231 | + | 0.577725i | \(0.803940\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 33.8289 | − | 12.3127i | 2.07809 | − | 0.756365i | ||||
\(266\) | −0.300767 | + | 1.70574i | −0.0184412 | + | 0.104585i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.12836 | − | 5.14230i | 0.374349 | − | 0.314116i | ||||
\(269\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0000 | −0.971931 | −0.485965 | − | 0.873978i | \(-0.661532\pi\) | ||||
−0.485965 | + | 0.873978i | \(0.661532\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.08378 | − | 11.8177i | 0.125886 | − | 0.713933i | ||||
\(275\) | −22.7863 | + | 8.29355i | −1.37407 | + | 0.500120i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.95202 | + | 16.7417i | 0.177370 | + | 1.00591i | 0.935373 | + | 0.353663i | \(0.115064\pi\) |
−0.758003 | + | 0.652251i | \(0.773825\pi\) | |||||||
\(278\) | −11.2583 | − | 19.5000i | −0.675230 | − | 1.16953i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.00000 | + | 5.19615i | −0.179284 | + | 0.310530i | ||||
\(281\) | −13.0208 | − | 4.73917i | −0.776754 | − | 0.282715i | −0.0769353 | − | 0.997036i | \(-0.524513\pi\) |
−0.699818 | + | 0.714321i | \(0.746736\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.95858 | − | 8.35624i | −0.591976 | − | 0.496727i | 0.296879 | − | 0.954915i | \(-0.404054\pi\) |
−0.888855 | + | 0.458188i | \(0.848499\pi\) | |||||||
\(284\) | −7.96097 | − | 6.68004i | −0.472397 | − | 0.396388i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 28.1908 | + | 10.2606i | 1.66696 | + | 0.606722i | ||||
\(287\) | −1.73205 | + | 3.00000i | −0.102240 | + | 0.177084i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.50000 | + | 14.7224i | 0.500000 | + | 0.866025i | ||||
\(290\) | 3.60921 | + | 20.4688i | 0.211940 | + | 1.20197i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.87939 | + | 0.684040i | −0.109983 | + | 0.0400304i | ||||
\(293\) | −2.40614 | + | 13.6459i | −0.140568 | + | 0.797202i | 0.830251 | + | 0.557390i | \(0.188197\pi\) |
−0.970819 | + | 0.239812i | \(0.922914\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.19253 | − | 7.71345i | 0.535210 | − | 0.449094i | ||||
\(296\) | −1.73205 | −0.100673 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.0000 | −0.695141 | ||||||||
\(299\) | 26.5366 | − | 22.2668i | 1.53465 | − | 1.28772i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.173648 | − | 0.984808i | 0.0100089 | − | 0.0567634i | ||||
\(302\) | −26.0415 | + | 9.47834i | −1.49852 | + | 0.545417i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.868241 | + | 4.92404i | 0.0497970 | + | 0.282413i | ||||
\(305\) | 3.46410 | + | 6.00000i | 0.198354 | + | 0.343559i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.0000 | + | 17.3205i | −0.570730 | + | 0.988534i | 0.425761 | + | 0.904836i | \(0.360006\pi\) |
−0.996491 | + | 0.0836980i | \(0.973327\pi\) | |||||||
\(308\) | 3.25519 | + | 1.18479i | 0.185482 | + | 0.0675098i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 22.9813 | + | 19.2836i | 1.30525 | + | 1.09524i | ||||
\(311\) | −10.6146 | − | 8.90673i | −0.601900 | − | 0.505054i | 0.290156 | − | 0.956979i | \(-0.406293\pi\) |
−0.892056 | + | 0.451925i | \(0.850737\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.939693 | + | 0.342020i | 0.0531146 | + | 0.0193321i | 0.368441 | − | 0.929651i | \(-0.379892\pi\) |
−0.315326 | + | 0.948983i | \(0.602114\pi\) | |||||||
\(314\) | −11.2583 | + | 19.5000i | −0.635344 | + | 1.10045i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.500000 | + | 0.866025i | 0.0281272 | + | 0.0487177i | ||||
\(317\) | −4.81228 | − | 27.2918i | −0.270285 | − | 1.53286i | −0.753553 | − | 0.657387i | \(-0.771662\pi\) |
0.483268 | − | 0.875472i | \(-0.339450\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.2763 | + | 4.10424i | −0.631352 | + | 0.229793i | ||||
\(320\) | −0.601535 | + | 3.41147i | −0.0336268 | + | 0.190707i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.19253 | − | 7.71345i | 0.512280 | − | 0.429854i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 35.0000 | 1.94145 | ||||||||
\(326\) | 1.32683 | − | 1.11334i | 0.0734862 | − | 0.0616622i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.04189 | + | 5.90885i | −0.0575287 | + | 0.326261i | ||||
\(329\) | 3.25519 | − | 1.18479i | 0.179464 | − | 0.0653197i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.29932 | − | 18.7113i | −0.181347 | − | 1.02847i | −0.930560 | − | 0.366140i | \(-0.880679\pi\) |
0.749213 | − | 0.662329i | \(-0.230432\pi\) | |||||||
\(332\) | 3.46410 | + | 6.00000i | 0.190117 | + | 0.329293i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.0000 | + | 36.3731i | −1.14907 | + | 1.99025i | ||||
\(335\) | 26.0415 | + | 9.47834i | 1.42280 | + | 0.517857i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.83022 | + | 3.21394i | 0.208645 | + | 0.175074i | 0.741122 | − | 0.671370i | \(-0.234294\pi\) |
−0.532476 | + | 0.846445i | \(0.678738\pi\) | |||||||
\(338\) | −15.9219 | − | 13.3601i | −0.866039 | − | 0.726693i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −8.66025 | + | 15.0000i | −0.468979 | + | 0.812296i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.50000 | − | 11.2583i | −0.350967 | − | 0.607893i | ||||
\(344\) | −0.300767 | − | 1.70574i | −0.0162163 | − | 0.0919672i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 22.5526 | − | 8.20848i | 1.21244 | − | 0.441291i | ||||
\(347\) | −4.21074 | + | 23.8803i | −0.226045 | + | 1.28196i | 0.634634 | + | 0.772813i | \(0.281151\pi\) |
−0.860678 | + | 0.509149i | \(0.829960\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.766044 | + | 0.642788i | −0.0410054 | + | 0.0344076i | −0.663060 | − | 0.748566i | \(-0.730743\pi\) |
0.622055 | + | 0.782974i | \(0.286298\pi\) | |||||||
\(350\) | 12.1244 | 0.648074 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | −13.2683 | + | 11.1334i | −0.706199 | + | 0.592572i | −0.923530 | − | 0.383527i | \(-0.874709\pi\) |
0.217331 | + | 0.976098i | \(0.430265\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.25133 | − | 35.4531i | 0.331786 | − | 1.88165i | ||||
\(356\) | 9.76557 | − | 3.55438i | 0.517574 | − | 0.188382i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.25133 | − | 35.4531i | −0.330393 | − | 1.87375i | ||||
\(359\) | 15.5885 | + | 27.0000i | 0.822727 | + | 1.42501i | 0.903644 | + | 0.428285i | \(0.140882\pi\) |
−0.0809166 | + | 0.996721i | \(0.525785\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | − | 15.5885i | 0.473684 | − | 0.820445i | ||||
\(362\) | 27.6691 | + | 10.0707i | 1.45426 | + | 0.529306i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.83022 | − | 3.21394i | −0.200758 | − | 0.168456i | ||||
\(365\) | −5.30731 | − | 4.45336i | −0.277797 | − | 0.233100i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.0351 | + | 5.47232i | 0.784825 | + | 0.285653i | 0.703183 | − | 0.711009i | \(-0.251761\pi\) |
0.0816418 | + | 0.996662i | \(0.473984\pi\) | |||||||
\(368\) | 17.3205 | − | 30.0000i | 0.902894 | − | 1.56386i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.00000 | + | 5.19615i | 0.155963 | + | 0.270135i | ||||
\(371\) | −1.80460 | − | 10.2344i | −0.0936904 | − | 0.531345i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.6129 | + | 7.86646i | −1.11908 | + | 0.407310i | −0.834315 | − | 0.551289i | \(-0.814136\pi\) |
−0.284761 | + | 0.958599i | \(0.591914\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.59627 | − | 3.85673i | 0.237034 | − | 0.198895i | ||||
\(377\) | 17.3205 | 0.892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.0000 | −0.975964 | −0.487982 | − | 0.872854i | \(-0.662267\pi\) | ||||
−0.487982 | + | 0.872854i | \(0.662267\pi\) | |||||||
\(380\) | 2.65366 | − | 2.22668i | 0.136130 | − | 0.114226i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.08378 | − | 11.8177i | 0.106615 | − | 0.604646i | ||||
\(383\) | −16.2760 | + | 5.92396i | −0.831662 | + | 0.302700i | −0.722541 | − | 0.691328i | \(-0.757026\pi\) |
−0.109121 | + | 0.994028i | \(0.534804\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.08378 | + | 11.8177i | 0.106199 | + | 0.602285i | ||||
\(386\) | −8.66025 | − | 15.0000i | −0.440795 | − | 0.763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.50000 | + | 14.7224i | −0.431522 | + | 0.747418i | ||||
\(389\) | 6.51038 | + | 2.36959i | 0.330089 | + | 0.120143i | 0.501748 | − | 0.865014i | \(-0.332690\pi\) |
−0.171659 | + | 0.985156i | \(0.554913\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −7.96097 | − | 6.68004i | −0.402090 | − | 0.337393i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 16.9145 | + | 6.15636i | 0.852139 | + | 0.310153i | ||||
\(395\) | −1.73205 | + | 3.00000i | −0.0871489 | + | 0.150946i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.500000 | + | 0.866025i | 0.0250943 | + | 0.0434646i | 0.878300 | − | 0.478110i | \(-0.158678\pi\) |
−0.853206 | + | 0.521575i | \(0.825345\pi\) | |||||||
\(398\) | 5.71458 | + | 32.4090i | 0.286446 | + | 1.62452i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 32.8892 | − | 11.9707i | 1.64446 | − | 0.598535i | ||||
\(401\) | −0.601535 | + | 3.41147i | −0.0300392 | + | 0.170361i | −0.996137 | − | 0.0878170i | \(-0.972011\pi\) |
0.966097 | + | 0.258178i | \(0.0831221\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.1511 | − | 16.0697i | 0.953985 | − | 0.800488i | ||||
\(404\) | 13.8564 | 0.689382 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | −2.65366 | + | 2.22668i | −0.131537 | + | 0.110373i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.868241 | − | 4.92404i | 0.0429317 | − | 0.243478i | −0.955788 | − | 0.294055i | \(-0.904995\pi\) |
0.998720 | + | 0.0505773i | \(0.0161061\pi\) | |||||||
\(410\) | 19.5311 | − | 7.10876i | 0.964574 | − | 0.351076i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.38919 | + | 7.87846i | 0.0684403 | + | 0.388144i | ||||
\(413\) | −1.73205 | − | 3.00000i | −0.0852286 | − | 0.147620i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0000 | + | 20.7846i | −0.589057 | + | 1.02028i | ||||
\(416\) | −24.4139 | − | 8.88594i | −1.19699 | − | 0.435669i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.59627 | + | 3.85673i | 0.224811 | + | 0.188639i | ||||
\(419\) | 29.1902 | + | 24.4935i | 1.42604 | + | 1.19659i | 0.948010 | + | 0.318239i | \(0.103092\pi\) |
0.478025 | + | 0.878346i | \(0.341353\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.8542 | + | 6.49838i | 0.870159 | + | 0.316712i | 0.738231 | − | 0.674548i | \(-0.235661\pi\) |
0.131927 | + | 0.991259i | \(0.457883\pi\) | |||||||
\(422\) | 4.33013 | − | 7.50000i | 0.210787 | − | 0.365094i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.00000 | − | 15.5885i | −0.437079 | − | 0.757042i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.87939 | − | 0.684040i | 0.0909498 | − | 0.0331030i | ||||
\(428\) | −1.80460 | + | 10.2344i | −0.0872289 | + | 0.494699i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.59627 | + | 3.85673i | −0.221652 | + | 0.185988i | ||||
\(431\) | 20.7846 | 1.00116 | 0.500580 | − | 0.865690i | \(-0.333120\pi\) | ||||
0.500580 | + | 0.865690i | \(0.333120\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.00000 | −0.0480569 | −0.0240285 | − | 0.999711i | \(-0.507649\pi\) | ||||
−0.0240285 | + | 0.999711i | \(0.507649\pi\) | |||||||
\(434\) | 6.63414 | − | 5.56670i | 0.318449 | − | 0.267210i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.95202 | − | 16.7417i | 0.141376 | − | 0.801784i | ||||
\(437\) | 6.51038 | − | 2.36959i | 0.311434 | − | 0.113353i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.47296 | + | 19.6962i | 0.165756 | + | 0.940046i | 0.948282 | + | 0.317429i | \(0.102820\pi\) |
−0.782527 | + | 0.622617i | \(0.786069\pi\) | |||||||
\(440\) | 10.3923 | + | 18.0000i | 0.495434 | + | 0.858116i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.0208 | − | 4.73917i | −0.618635 | − | 0.225165i | 0.0136422 | − | 0.999907i | \(-0.495657\pi\) |
−0.632277 | + | 0.774742i | \(0.717880\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 27.5776 | + | 23.1404i | 1.30730 | + | 1.09696i | ||||
\(446\) | 25.2097 | + | 21.1535i | 1.19372 | + | 1.00165i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.939693 | + | 0.342020i | 0.0443963 | + | 0.0161589i | ||||
\(449\) | −5.19615 | + | 9.00000i | −0.245222 | + | 0.424736i | −0.962194 | − | 0.272365i | \(-0.912194\pi\) |
0.716972 | + | 0.697102i | \(0.245527\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.00000 | + | 10.3923i | 0.282529 | + | 0.489355i | ||||
\(452\) | 3.00767 | + | 17.0574i | 0.141469 | + | 0.802311i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 22.5526 | − | 8.20848i | 1.05845 | − | 0.385243i | ||||
\(455\) | 3.00767 | − | 17.0574i | 0.141002 | − | 0.799662i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.0228 | − | 10.9274i | 0.609179 | − | 0.511162i | −0.285202 | − | 0.958467i | \(-0.592061\pi\) |
0.894381 | + | 0.447306i | \(0.147616\pi\) | |||||||
\(458\) | −8.66025 | −0.404667 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −24.0000 | −1.11901 | ||||||||
\(461\) | −21.2292 | + | 17.8135i | −0.988745 | + | 0.829655i | −0.985385 | − | 0.170339i | \(-0.945514\pi\) |
−0.00335908 | + | 0.999994i | \(0.501069\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.38309 | + | 30.5290i | −0.250174 | + | 1.41880i | 0.557990 | + | 0.829847i | \(0.311573\pi\) |
−0.808164 | + | 0.588957i | \(0.799539\pi\) | |||||||
\(464\) | 16.2760 | − | 5.92396i | 0.755592 | − | 0.275013i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.19615 | − | 9.00000i | −0.240449 | − | 0.416470i | 0.720393 | − | 0.693566i | \(-0.243961\pi\) |
−0.960842 | + | 0.277096i | \(0.910628\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.00000 | − | 6.92820i | 0.184703 | − | 0.319915i | ||||
\(470\) | −19.5311 | − | 7.10876i | −0.900905 | − | 0.327902i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.59627 | − | 3.85673i | −0.211560 | − | 0.177520i | ||||
\(473\) | −2.65366 | − | 2.22668i | −0.122015 | − | 0.102383i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.57785 | + | 2.39414i | 0.301812 | + | 0.109851i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.00000 | + | 10.3923i | 0.274434 | + | 0.475333i | ||||
\(479\) | 2.40614 | + | 13.6459i | 0.109939 | + | 0.623497i | 0.989132 | + | 0.147030i | \(0.0469715\pi\) |
−0.879193 | + | 0.476466i | \(0.841917\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.69846 | − | 1.71010i | 0.214231 | − | 0.0779739i | ||||
\(482\) | 5.71458 | − | 32.4090i | 0.260292 | − | 1.47619i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.766044 | − | 0.642788i | 0.0348202 | − | 0.0292176i | ||||
\(485\) | −58.8897 | −2.67404 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.0000 | −0.860972 | −0.430486 | − | 0.902597i | \(-0.641658\pi\) | ||||
−0.430486 | + | 0.902597i | \(0.641658\pi\) | |||||||
\(488\) | 2.65366 | − | 2.22668i | 0.120125 | − | 0.100797i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.25133 | + | 35.4531i | −0.282407 | + | 1.60161i | ||||
\(491\) | −35.8071 | + | 13.0327i | −1.61595 | + | 0.588158i | −0.982605 | − | 0.185710i | \(-0.940542\pi\) |
−0.633347 | + | 0.773868i | \(0.718319\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −4.33013 | − | 7.50000i | −0.194822 | − | 0.337441i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.5000 | − | 21.6506i | 0.561267 | − | 0.972142i | ||||
\(497\) | −9.76557 | − | 3.55438i | −0.438046 | − | 0.159436i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.4492 | − | 17.9981i | −0.960200 | − | 0.805704i | 0.0207856 | − | 0.999784i | \(-0.493383\pi\) |
−0.980986 | + | 0.194080i | \(0.937828\pi\) | |||||||
\(500\) | −5.30731 | − | 4.45336i | −0.237350 | − | 0.199160i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −33.8289 | − | 12.3127i | −1.50986 | − | 0.549544i | ||||
\(503\) | 20.7846 | − | 36.0000i | 0.926740 | − | 1.60516i | 0.138001 | − | 0.990432i | \(-0.455932\pi\) |
0.788739 | − | 0.614729i | \(-0.210734\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.0000 | + | 41.5692i | 1.06799 | + | 1.84981i | ||||
\(506\) | −7.21842 | − | 40.9377i | −0.320898 | − | 1.81990i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.9748 | + | 5.81434i | −0.708766 | + | 0.257970i | ||||
\(509\) | 4.81228 | − | 27.2918i | 0.213301 | − | 1.20969i | −0.670531 | − | 0.741882i | \(-0.733934\pi\) |
0.883831 | − | 0.467806i | \(-0.154955\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.53209 | + | 1.28558i | −0.0677756 | + | 0.0568705i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.00000 | 0.264649 | ||||||||
\(515\) | −21.2292 | + | 17.8135i | −0.935472 | + | 0.784955i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.08378 | − | 11.8177i | 0.0916445 | − | 0.519742i | ||||
\(518\) | 1.62760 | − | 0.592396i | 0.0715124 | − | 0.0260284i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.20945 | − | 29.5442i | −0.228449 | − | 1.29560i | ||||
\(521\) | −10.3923 | − | 18.0000i | −0.455295 | − | 0.788594i | 0.543410 | − | 0.839467i | \(-0.317133\pi\) |
−0.998705 | + | 0.0508731i | \(0.983800\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.0000 | + | 17.3205i | −0.437269 | + | 0.757373i | −0.997478 | − | 0.0709788i | \(-0.977388\pi\) |
0.560208 | + | 0.828352i | \(0.310721\pi\) | |||||||
\(524\) | 3.25519 | + | 1.18479i | 0.142204 | + | 0.0517579i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.3851 | − | 15.4269i | −0.801627 | − | 0.672645i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −23.4923 | − | 8.55050i | −1.02141 | − | 0.371761i | ||||
\(530\) | −31.1769 | + | 54.0000i | −1.35424 | + | 2.34561i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.500000 | − | 0.866025i | −0.0216777 | − | 0.0375470i | ||||
\(533\) | −3.00767 | − | 17.0574i | −0.130277 | − | 0.738837i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −33.8289 | + | 12.3127i | −1.46255 | + | 0.532326i | ||||
\(536\) | 2.40614 | − | 13.6459i | 0.103929 | − | 0.589413i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −20.7846 | −0.895257 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.0000 | 0.730887 | 0.365444 | − | 0.930834i | \(-0.380917\pi\) | ||||
0.365444 | + | 0.930834i | \(0.380917\pi\) | |||||||
\(542\) | 21.2292 | − | 17.8135i | 0.911874 | − | 0.765153i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 55.3382 | − | 20.1415i | 2.37043 | − | 0.862766i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.47296 | + | 19.6962i | 0.148493 | + | 0.842147i | 0.964496 | + | 0.264098i | \(0.0850744\pi\) |
−0.816003 | + | 0.578048i | \(0.803815\pi\) | |||||||
\(548\) | 3.46410 | + | 6.00000i | 0.147979 | + | 0.256307i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 21.0000 | − | 36.3731i | 0.895443 | − | 1.55095i | ||||
\(551\) | 3.25519 | + | 1.18479i | 0.138676 | + | 0.0504739i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.766044 | + | 0.642788i | 0.0325755 | + | 0.0273341i | ||||
\(554\) | −22.5561 | − | 18.9268i | −0.958316 | − | 0.804122i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.2160 | + | 4.44626i | 0.518074 | + | 0.188564i | ||||
\(557\) | 5.19615 | − | 9.00000i | 0.220168 | − | 0.381342i | −0.734691 | − | 0.678402i | \(-0.762673\pi\) |
0.954859 | + | 0.297060i | \(0.0960061\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.50000 | + | 4.33013i | 0.105739 | + | 0.183145i | ||||
\(560\) | −3.00767 | − | 17.0574i | −0.127097 | − | 0.720805i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 22.5526 | − | 8.20848i | 0.951325 | − | 0.346254i | ||||
\(563\) | −6.01535 | + | 34.1147i | −0.253517 | + | 1.43776i | 0.546335 | + | 0.837567i | \(0.316023\pi\) |
−0.799851 | + | 0.600198i | \(0.795088\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −45.9627 | + | 38.5673i | −1.93366 | + | 1.62254i | ||||
\(566\) | 22.5167 | 0.946446 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.0000 | −0.755263 | ||||||||
\(569\) | 18.5756 | − | 15.5868i | 0.778729 | − | 0.653431i | −0.164199 | − | 0.986427i | \(-0.552504\pi\) |
0.942928 | + | 0.332996i | \(0.108059\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.11958 | − | 40.3771i | 0.297945 | − | 1.68973i | −0.357041 | − | 0.934089i | \(-0.616214\pi\) |
0.654986 | − | 0.755641i | \(-0.272675\pi\) | |||||||
\(572\) | −16.2760 | + | 5.92396i | −0.680532 | + | 0.247693i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.04189 | − | 5.90885i | −0.0434876 | − | 0.246630i | ||||
\(575\) | −24.2487 | − | 42.0000i | −1.01124 | − | 1.75152i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.0000 | − | 29.4449i | 0.707719 | − | 1.22581i | −0.257982 | − | 0.966150i | \(-0.583058\pi\) |
0.965701 | − | 0.259656i | \(-0.0836092\pi\) | |||||||
\(578\) | −27.6691 | − | 10.0707i | −1.15088 | − | 0.418887i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.19253 | − | 7.71345i | −0.381699 | − | 0.320284i | ||||
\(581\) | 5.30731 | + | 4.45336i | 0.220184 | + | 0.184757i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −33.8289 | − | 12.3127i | −1.40105 | − | 0.509941i | ||||
\(584\) | −1.73205 | + | 3.00000i | −0.0716728 | + | 0.124141i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.0000 | − | 20.7846i | −0.495715 | − | 0.858604i | ||||
\(587\) | −1.20307 | − | 6.82295i | −0.0496560 | − | 0.281613i | 0.949862 | − | 0.312671i | \(-0.101224\pi\) |
−0.999518 | + | 0.0310575i | \(0.990113\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.69846 | − | 1.71010i | 0.193597 | − | 0.0704635i | ||||
\(590\) | −3.60921 | + | 20.4688i | −0.148589 | + | 0.842689i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.83022 | − | 3.21394i | 0.157421 | − | 0.132092i | ||||
\(593\) | −20.7846 | −0.853522 | −0.426761 | − | 0.904365i | \(-0.640345\pi\) | ||||
−0.426761 | + | 0.904365i | \(0.640345\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.30731 | − | 4.45336i | 0.217396 | − | 0.182417i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.4189 | + | 59.0885i | −0.426060 | + | 2.41631i | ||||
\(599\) | 22.7863 | − | 8.29355i | 0.931024 | − | 0.338865i | 0.168409 | − | 0.985717i | \(-0.446137\pi\) |
0.762616 | + | 0.646852i | \(0.223915\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.07769 | + | 34.4683i | 0.247914 | + | 1.40599i | 0.813627 | + | 0.581388i | \(0.197490\pi\) |
−0.565713 | + | 0.824602i | \(0.691399\pi\) | |||||||
\(602\) | 0.866025 | + | 1.50000i | 0.0352966 | + | 0.0611354i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | − | 13.8564i | 0.325515 | − | 0.563809i | ||||
\(605\) | 3.25519 | + | 1.18479i | 0.132342 | + | 0.0481687i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.95858 | − | 8.35624i | −0.404206 | − | 0.339169i | 0.417911 | − | 0.908488i | \(-0.362763\pi\) |
−0.822117 | + | 0.569319i | \(0.807207\pi\) | |||||||
\(608\) | −3.98048 | − | 3.34002i | −0.161430 | − | 0.135456i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.2763 | − | 4.10424i | −0.456565 | − | 0.166176i | ||||
\(611\) | −8.66025 | + | 15.0000i | −0.350356 | + | 0.606835i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.00000 | − | 1.73205i | −0.0403896 | − | 0.0699569i | 0.845124 | − | 0.534570i | \(-0.179527\pi\) |
−0.885514 | + | 0.464614i | \(0.846193\pi\) | |||||||
\(614\) | −6.01535 | − | 34.1147i | −0.242760 | − | 1.37676i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.63816 | − | 2.05212i | 0.227168 | − | 0.0826823i | ||||
\(617\) | 1.20307 | − | 6.82295i | 0.0484338 | − | 0.274682i | −0.950967 | − | 0.309292i | \(-0.899908\pi\) |
0.999401 | + | 0.0346105i | \(0.0110191\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.3209 | − | 12.8558i | 0.615799 | − | 0.516716i | −0.280681 | − | 0.959801i | \(-0.590560\pi\) |
0.896480 | + | 0.443085i | \(0.146116\pi\) | |||||||
\(620\) | −17.3205 | −0.695608 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 7.96097 | − | 6.68004i | 0.318949 | − | 0.267630i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.91013 | + | 10.8329i | −0.0764052 | + | 0.433315i | ||||
\(626\) | −1.62760 | + | 0.592396i | −0.0650518 | + | 0.0236769i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.25743 | − | 12.8025i | −0.0900811 | − | 0.510875i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.50000 | + | 14.7224i | −0.338380 | + | 0.586091i | −0.984128 | − | 0.177459i | \(-0.943212\pi\) |
0.645748 | + | 0.763550i | \(0.276545\pi\) | |||||||
\(632\) | 1.62760 | + | 0.592396i | 0.0647423 | + | 0.0235643i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 36.7701 | + | 30.8538i | 1.46033 | + | 1.22536i | ||||
\(635\) | −45.1121 | − | 37.8536i | −1.79022 | − | 1.50217i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.1908 | + | 10.2606i | 1.11696 | + | 0.406540i | ||||
\(638\) | 10.3923 | − | 18.0000i | 0.411435 | − | 0.712627i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.0000 | − | 36.3731i | −0.830098 | − | 1.43777i | ||||
\(641\) | 7.81995 | + | 44.3492i | 0.308870 | + | 1.75169i | 0.604707 | + | 0.796448i | \(0.293290\pi\) |
−0.295837 | + | 0.955238i | \(0.595599\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −41.3465 | + | 15.0489i | −1.63055 | + | 0.593470i | −0.985350 | − | 0.170547i | \(-0.945447\pi\) |
−0.645196 | + | 0.764017i | \(0.723224\pi\) | |||||||
\(644\) | −1.20307 | + | 6.82295i | −0.0474076 | + | 0.268862i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 20.7846 | 0.817127 | 0.408564 | − | 0.912730i | \(-0.366030\pi\) | ||||
0.408564 | + | 0.912730i | \(0.366030\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.0000 | −0.471041 | ||||||||
\(650\) | −46.4390 | + | 38.9669i | −1.82149 | + | 1.52841i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.173648 | + | 0.984808i | −0.00680059 | + | 0.0385680i | ||||
\(653\) | −16.2760 | + | 5.92396i | −0.636927 | + | 0.231823i | −0.640244 | − | 0.768172i | \(-0.721167\pi\) |
0.00331633 | + | 0.999995i | \(0.498944\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.08378 | + | 11.8177i | 0.0814199 | + | 0.461755i | ||||
\(656\) | −8.66025 | − | 15.0000i | −0.338126 | − | 0.585652i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.00000 | + | 5.19615i | −0.116952 | + | 0.202567i | ||||
\(659\) | 26.0415 | + | 9.47834i | 1.01443 | + | 0.369224i | 0.795134 | − | 0.606434i | \(-0.207400\pi\) |
0.219300 | + | 0.975658i | \(0.429623\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.66044 | − | 6.42788i | −0.297957 | − | 0.250015i | 0.481536 | − | 0.876426i | \(-0.340079\pi\) |
−0.779493 | + | 0.626411i | \(0.784523\pi\) | |||||||
\(662\) | 25.2097 | + | 21.1535i | 0.979804 | + | 0.822153i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.2763 | + | 4.10424i | 0.437606 | + | 0.159275i | ||||
\(665\) | 1.73205 | − | 3.00000i | 0.0671660 | − | 0.116335i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.0000 | − | 20.7846i | −0.464642 | − | 0.804783i | ||||
\(668\) | −4.21074 | − | 23.8803i | −0.162919 | − | 0.923957i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −45.1052 | + | 16.4170i | −1.74257 | + | 0.634243i | ||||
\(671\) | 1.20307 | − | 6.82295i | 0.0464440 | − | 0.263397i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −28.3436 | + | 23.7831i | −1.09257 | + | 0.916773i | −0.996903 | − | 0.0786409i | \(-0.974942\pi\) |
−0.0956642 | + | 0.995414i | \(0.530497\pi\) | |||||||
\(674\) | −8.66025 | −0.333581 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.0000 | 0.461538 | ||||||||
\(677\) | −13.2683 | + | 11.1334i | −0.509941 | + | 0.427892i | −0.861109 | − | 0.508421i | \(-0.830229\pi\) |
0.351167 | + | 0.936313i | \(0.385785\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.95202 | + | 16.7417i | −0.113288 | + | 0.642489i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.20945 | − | 29.5442i | −0.199480 | − | 1.13131i | ||||
\(683\) | 20.7846 | + | 36.0000i | 0.795301 | + | 1.37750i | 0.922648 | + | 0.385643i | \(0.126021\pi\) |
−0.127347 | + | 0.991858i | \(0.540646\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.0000 | + | 20.7846i | −0.458496 | + | 0.794139i | ||||
\(686\) | 21.1587 | + | 7.70115i | 0.807844 | + | 0.294031i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.83022 | + | 3.21394i | 0.146026 | + | 0.122530i | ||||
\(689\) | 39.8048 | + | 33.4002i | 1.51644 | + | 1.27245i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.9748 | − | 5.81434i | −0.607709 | − | 0.221188i | 0.0197915 | − | 0.999804i | \(-0.493700\pi\) |
−0.627501 | + | 0.778616i | \(0.715922\pi\) | |||||||
\(692\) | −6.92820 | + | 12.0000i | −0.263371 | + | 0.456172i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.0000 | − | 36.3731i | −0.797149 | − | 1.38070i | ||||
\(695\) | 7.81995 | + | 44.3492i | 0.296628 | + | 1.68226i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0.300767 | − | 1.70574i | 0.0113842 | − | 0.0645631i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.36231 | + | 4.49951i | −0.202676 | + | 0.170066i | ||||
\(701\) | 41.5692 | 1.57005 | 0.785024 | − | 0.619466i | \(-0.212651\pi\) | ||||
0.785024 | + | 0.619466i | \(0.212651\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.00000 | 0.0377157 | ||||||||
\(704\) | 2.65366 | − | 2.22668i | 0.100013 | − | 0.0839212i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.20945 | − | 29.5442i | 0.196060 | − | 1.11191i | ||||
\(707\) | 13.0208 | − | 4.73917i | 0.489696 | − | 0.178235i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.29932 | − | 18.7113i | −0.123908 | − | 0.702719i | −0.981950 | − | 0.189140i | \(-0.939430\pi\) |
0.858042 | − | 0.513580i | \(-0.171681\pi\) | |||||||
\(710\) | 31.1769 | + | 54.0000i | 1.17005 | + | 2.02658i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | − | 15.5885i | 0.337289 | − | 0.584202i | ||||
\(713\) | −32.5519 | − | 11.8479i | −1.21908 | − | 0.443708i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −45.9627 | − | 38.5673i | −1.71891 | − | 1.44233i | ||||
\(716\) | 15.9219 | + | 13.3601i | 0.595031 | + | 0.499290i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −50.7434 | − | 18.4691i | −1.89373 | − | 0.689260i | ||||
\(719\) | 5.19615 | − | 9.00000i | 0.193784 | − | 0.335643i | −0.752717 | − | 0.658344i | \(-0.771257\pi\) |
0.946501 | + | 0.322700i | \(0.104591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.00000 | + | 6.92820i | 0.148968 | + | 0.258020i | ||||
\(722\) | 5.41381 | + | 30.7033i | 0.201481 | + | 1.14266i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.9748 | + | 5.81434i | −0.593698 | + | 0.216088i | ||||
\(725\) | 4.21074 | − | 23.8803i | 0.156383 | − | 0.886893i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.2567 | + | 10.2846i | −0.454576 | + | 0.381435i | −0.841131 | − | 0.540832i | \(-0.818110\pi\) |
0.386555 | + | 0.922267i | \(0.373665\pi\) | |||||||
\(728\) | −8.66025 | −0.320970 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0000 | 0.444140 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.11958 | − | 40.3771i | 0.262968 | − | 1.49136i | −0.511793 | − | 0.859109i | \(-0.671019\pi\) |
0.774761 | − | 0.632254i | \(-0.217870\pi\) | |||||||
\(734\) | −26.0415 | + | 9.47834i | −0.961210 | + | 0.349852i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.25133 | + | 35.4531i | 0.230427 | + | 1.30682i | ||||
\(737\) | −13.8564 | − | 24.0000i | −0.510407 | − | 0.884051i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.50000 | − | 16.4545i | 0.349463 | − | 0.605288i | −0.636691 | − | 0.771119i | \(-0.719697\pi\) |
0.986154 | + | 0.165831i | \(0.0530307\pi\) | |||||||
\(740\) | −3.25519 | − | 1.18479i | −0.119663 | − | 0.0435538i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.7888 | + | 11.5702i | 0.506203 | + | 0.424755i | ||||
\(743\) | 5.30731 | + | 4.45336i | 0.194706 | + | 0.163378i | 0.734929 | − | 0.678144i | \(-0.237215\pi\) |
−0.540223 | + | 0.841522i | \(0.681660\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.5526 | + | 8.20848i | 0.826264 | + | 0.300736i | ||||
\(746\) | 19.9186 | − | 34.5000i | 0.729271 | − | 1.26313i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.80460 | + | 10.2344i | 0.0659388 | + | 0.373958i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.69846 | + | 1.71010i | −0.171449 | + | 0.0624025i | −0.426319 | − | 0.904573i | \(-0.640190\pi\) |
0.254869 | + | 0.966976i | \(0.417968\pi\) | |||||||
\(752\) | −3.00767 | + | 17.0574i | −0.109679 | + | 0.622018i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −22.9813 | + | 19.2836i | −0.836931 | + | 0.702268i | ||||
\(755\) | 55.4256 | 2.01715 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 38.0000 | 1.38113 | 0.690567 | − | 0.723269i | \(-0.257361\pi\) | ||||
0.690567 | + | 0.723269i | \(0.257361\pi\) | |||||||
\(758\) | 25.2097 | − | 21.1535i | 0.915659 | − | 0.768329i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.04189 | − | 5.90885i | 0.0377933 | − | 0.214336i | ||||
\(761\) | −26.0415 | + | 9.47834i | −0.944005 | + | 0.343590i | −0.767746 | − | 0.640754i | \(-0.778622\pi\) |
−0.176259 | + | 0.984344i | \(0.556399\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.95202 | − | 16.7417i | −0.106870 | − | 0.606091i | ||||
\(764\) | 3.46410 | + | 6.00000i | 0.125327 | + | 0.217072i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.0000 | − | 25.9808i | 0.541972 | − | 0.938723i | ||||
\(767\) | 16.2760 | + | 5.92396i | 0.587691 | + | 0.213902i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.95858 | − | 8.35624i | −0.359115 | − | 0.301334i | 0.445323 | − | 0.895370i | \(-0.353089\pi\) |
−0.804438 | + | 0.594037i | \(0.797533\pi\) | |||||||
\(770\) | −15.9219 | − | 13.3601i | −0.573787 | − | 0.481464i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.39693 | + | 3.42020i | 0.338203 | + | 0.123096i | ||||
\(773\) | 10.3923 | − | 18.0000i | 0.373785 | − | 0.647415i | −0.616359 | − | 0.787465i | \(-0.711393\pi\) |
0.990144 | + | 0.140050i | \(0.0447264\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.5000 | − | 30.3109i | −0.628619 | − | 1.08880i | ||||
\(776\) | 5.11305 | + | 28.9975i | 0.183548 | + | 1.04095i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.2763 | + | 4.10424i | −0.404275 | + | 0.147144i | ||||
\(779\) | 0.601535 | − | 3.41147i | 0.0215522 | − | 0.122229i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.5776 | + | 23.1404i | −0.986804 | + | 0.828027i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 |