Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 128.5 | ||
Character | \(\chi\) | \(=\) | 735.128 |
Dual form | 735.2.y.i.557.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.907300 | + | 0.243110i | −0.641558 | + | 0.171905i | −0.564909 | − | 0.825153i | \(-0.691089\pi\) |
−0.0766491 | + | 0.997058i | \(0.524422\pi\) | |||||||
\(3\) | 0.315275 | + | 1.70312i | 0.182024 | + | 0.983294i | ||||
\(4\) | −0.967960 | + | 0.558852i | −0.483980 | + | 0.279426i | ||||
\(5\) | 2.12501 | + | 0.695932i | 0.950335 | + | 0.311230i | ||||
\(6\) | −0.700094 | − | 1.46859i | −0.285812 | − | 0.599550i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.07075 | − | 2.07075i | 0.732120 | − | 0.732120i | ||||
\(9\) | −2.80120 | + | 1.07390i | −0.933734 | + | 0.357966i | ||||
\(10\) | −2.09721 | − | 0.114806i | −0.663197 | − | 0.0363049i | ||||
\(11\) | −0.630122 | + | 0.363801i | −0.189989 | + | 0.109690i | −0.591977 | − | 0.805955i | \(-0.701653\pi\) |
0.401988 | + | 0.915645i | \(0.368319\pi\) | |||||||
\(12\) | −1.25696 | − | 1.47235i | −0.362854 | − | 0.425032i | ||||
\(13\) | 1.44243 | + | 1.44243i | 0.400058 | + | 0.400058i | 0.878253 | − | 0.478196i | \(-0.158709\pi\) |
−0.478196 | + | 0.878253i | \(0.658709\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.515288 | + | 3.83855i | −0.133047 | + | 0.991110i | ||||
\(16\) | −0.257666 | + | 0.446291i | −0.0644165 | + | 0.111573i | ||||
\(17\) | −1.90004 | + | 7.09105i | −0.460828 | + | 1.71983i | 0.209538 | + | 0.977801i | \(0.432804\pi\) |
−0.670365 | + | 0.742031i | \(0.733863\pi\) | |||||||
\(18\) | 2.28046 | − | 1.65535i | 0.537509 | − | 0.390170i | ||||
\(19\) | −0.664374 | − | 0.383576i | −0.152418 | − | 0.0879985i | 0.421851 | − | 0.906665i | \(-0.361380\pi\) |
−0.574269 | + | 0.818667i | \(0.694714\pi\) | |||||||
\(20\) | −2.44585 | + | 0.513933i | −0.546908 | + | 0.114919i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.483266 | − | 0.483266i | 0.103033 | − | 0.103033i | ||||
\(23\) | 0.840245 | + | 3.13584i | 0.175203 | + | 0.653867i | 0.996517 | + | 0.0833906i | \(0.0265749\pi\) |
−0.821314 | + | 0.570477i | \(0.806758\pi\) | |||||||
\(24\) | 4.17958 | + | 2.87387i | 0.853152 | + | 0.586626i | ||||
\(25\) | 4.03136 | + | 2.95773i | 0.806272 | + | 0.591545i | ||||
\(26\) | −1.65938 | − | 0.958046i | −0.325432 | − | 0.187888i | ||||
\(27\) | −2.71212 | − | 4.43220i | −0.521948 | − | 0.852977i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.07354 | −0.756437 | −0.378219 | − | 0.925716i | \(-0.623463\pi\) | ||||
−0.378219 | + | 0.925716i | \(0.623463\pi\) | |||||||
\(30\) | −0.465670 | − | 3.60799i | −0.0850194 | − | 0.658726i | ||||
\(31\) | 0.209930 | + | 0.363609i | 0.0377045 | + | 0.0653060i | 0.884262 | − | 0.466991i | \(-0.154662\pi\) |
−0.846557 | + | 0.532297i | \(0.821329\pi\) | |||||||
\(32\) | −1.39061 | + | 5.18983i | −0.245827 | + | 0.917440i | ||||
\(33\) | −0.818257 | − | 0.958473i | −0.142440 | − | 0.166849i | ||||
\(34\) | − | 6.89563i | − | 1.18259i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.11130 | − | 2.60495i | 0.351884 | − | 0.434158i | ||||
\(37\) | −1.63050 | − | 6.08510i | −0.268052 | − | 1.00038i | −0.960356 | − | 0.278778i | \(-0.910071\pi\) |
0.692303 | − | 0.721607i | \(-0.256596\pi\) | |||||||
\(38\) | 0.696038 | + | 0.186503i | 0.112912 | + | 0.0302548i | ||||
\(39\) | −2.00186 | + | 2.91138i | −0.320554 | + | 0.466194i | ||||
\(40\) | 5.84146 | − | 2.95927i | 0.923616 | − | 0.467901i | ||||
\(41\) | 4.44452i | 0.694117i | 0.937843 | + | 0.347058i | \(0.112819\pi\) | ||||
−0.937843 | + | 0.347058i | \(0.887181\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.15881 | − | 5.15881i | −0.786711 | − | 0.786711i | 0.194243 | − | 0.980953i | \(-0.437775\pi\) |
−0.980953 | + | 0.194243i | \(0.937775\pi\) | |||||||
\(44\) | 0.406622 | − | 0.704289i | 0.0613005 | − | 0.106176i | ||||
\(45\) | −6.69995 | + | 0.332604i | −0.998770 | + | 0.0495816i | ||||
\(46\) | −1.52471 | − | 2.64087i | −0.224806 | − | 0.389376i | ||||
\(47\) | 6.79316 | − | 1.82022i | 0.990885 | − | 0.265507i | 0.273263 | − | 0.961939i | \(-0.411897\pi\) |
0.717622 | + | 0.696433i | \(0.245231\pi\) | |||||||
\(48\) | −0.841320 | − | 0.298131i | −0.121434 | − | 0.0430315i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.37671 | − | 1.70348i | −0.618960 | − | 0.240909i | ||||
\(51\) | −12.6759 | − | 1.00036i | −1.77498 | − | 0.140078i | ||||
\(52\) | −2.20232 | − | 0.590109i | −0.305406 | − | 0.0818334i | ||||
\(53\) | −5.26849 | − | 1.41169i | −0.723683 | − | 0.193910i | −0.121869 | − | 0.992546i | \(-0.538889\pi\) |
−0.601814 | + | 0.798636i | \(0.705555\pi\) | |||||||
\(54\) | 3.53822 | + | 3.36199i | 0.481491 | + | 0.457509i | ||||
\(55\) | −1.59220 | + | 0.334560i | −0.214692 | + | 0.0451121i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.443814 | − | 1.25244i | 0.0587846 | − | 0.165889i | ||||
\(58\) | 3.69592 | − | 0.990320i | 0.485298 | − | 0.130035i | ||||
\(59\) | 0.807790 | + | 1.39913i | 0.105165 | + | 0.182152i | 0.913806 | − | 0.406152i | \(-0.133130\pi\) |
−0.808640 | + | 0.588303i | \(0.799796\pi\) | |||||||
\(60\) | −1.64640 | − | 4.00353i | −0.212550 | − | 0.516854i | ||||
\(61\) | −4.78904 | + | 8.29486i | −0.613174 | + | 1.06205i | 0.377528 | + | 0.925998i | \(0.376774\pi\) |
−0.990702 | + | 0.136050i | \(0.956559\pi\) | |||||||
\(62\) | −0.278866 | − | 0.278866i | −0.0354160 | − | 0.0354160i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 6.07747i | − | 0.759683i | ||||||
\(65\) | 2.06135 | + | 4.06901i | 0.255679 | + | 0.504699i | ||||
\(66\) | 0.975419 | + | 0.670696i | 0.120066 | + | 0.0825570i | ||||
\(67\) | −6.90351 | − | 1.84979i | −0.843397 | − | 0.225988i | −0.188847 | − | 0.982006i | \(-0.560475\pi\) |
−0.654550 | + | 0.756019i | \(0.727142\pi\) | |||||||
\(68\) | −2.12368 | − | 7.92569i | −0.257534 | − | 0.961131i | ||||
\(69\) | −5.07578 | + | 2.41969i | −0.611053 | + | 0.291296i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.06501i | 0.838462i | 0.907880 | + | 0.419231i | \(0.137700\pi\) | ||||
−0.907880 | + | 0.419231i | \(0.862300\pi\) | |||||||
\(72\) | −3.57681 | + | 8.02436i | −0.421531 | + | 0.945680i | ||||
\(73\) | 4.08458 | − | 15.2439i | 0.478064 | − | 1.78416i | −0.131381 | − | 0.991332i | \(-0.541941\pi\) |
0.609445 | − | 0.792828i | \(-0.291392\pi\) | |||||||
\(74\) | 2.95870 | + | 5.12462i | 0.343942 | + | 0.595726i | ||||
\(75\) | −3.76636 | + | 7.79837i | −0.434902 | + | 0.900478i | ||||
\(76\) | 0.857449 | 0.0983562 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.10850 | − | 3.12817i | 0.125513 | − | 0.354196i | ||||
\(79\) | 5.80845 | + | 3.35351i | 0.653502 | + | 0.377300i | 0.789797 | − | 0.613369i | \(-0.210186\pi\) |
−0.136294 | + | 0.990668i | \(0.543519\pi\) | |||||||
\(80\) | −0.858131 | + | 0.769055i | −0.0959420 | + | 0.0859830i | ||||
\(81\) | 6.69348 | − | 6.01642i | 0.743720 | − | 0.668491i | ||||
\(82\) | −1.08051 | − | 4.03251i | −0.119322 | − | 0.445316i | ||||
\(83\) | 1.83008 | − | 1.83008i | 0.200877 | − | 0.200877i | −0.599499 | − | 0.800376i | \(-0.704633\pi\) |
0.800376 | + | 0.599499i | \(0.204633\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.97250 | + | 13.7463i | −0.973204 | + | 1.49099i | ||||
\(86\) | 5.93475 | + | 3.42643i | 0.639960 | + | 0.369481i | ||||
\(87\) | −1.28428 | − | 6.93771i | −0.137690 | − | 0.743800i | ||||
\(88\) | −0.551483 | + | 2.05816i | −0.0587883 | + | 0.219401i | ||||
\(89\) | −6.94977 | + | 12.0373i | −0.736674 | + | 1.27596i | 0.217311 | + | 0.976102i | \(0.430271\pi\) |
−0.953985 | + | 0.299854i | \(0.903062\pi\) | |||||||
\(90\) | 5.99801 | − | 1.93060i | 0.632246 | − | 0.203503i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.56579 | − | 2.56579i | −0.267502 | − | 0.267502i | ||||
\(93\) | −0.553082 | + | 0.472171i | −0.0573519 | + | 0.0489618i | ||||
\(94\) | −5.72092 | + | 3.30298i | −0.590068 | + | 0.340676i | ||||
\(95\) | −1.14486 | − | 1.27746i | −0.117460 | − | 0.131065i | ||||
\(96\) | −9.27730 | − | 0.732146i | −0.946860 | − | 0.0747244i | ||||
\(97\) | −5.62554 | + | 5.62554i | −0.571187 | + | 0.571187i | −0.932460 | − | 0.361273i | \(-0.882342\pi\) |
0.361273 | + | 0.932460i | \(0.382342\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.37441 | − | 1.69577i | 0.138134 | − | 0.170431i | ||||
\(100\) | −5.55512 | − | 0.610029i | −0.555512 | − | 0.0610029i | ||||
\(101\) | −4.57480 | + | 2.64126i | −0.455209 | + | 0.262815i | −0.710028 | − | 0.704174i | \(-0.751318\pi\) |
0.254818 | + | 0.966989i | \(0.417984\pi\) | |||||||
\(102\) | 11.7441 | − | 2.17402i | 1.16283 | − | 0.215260i | ||||
\(103\) | 7.01482 | − | 1.87961i | 0.691190 | − | 0.185204i | 0.103909 | − | 0.994587i | \(-0.466865\pi\) |
0.587281 | + | 0.809383i | \(0.300198\pi\) | |||||||
\(104\) | 5.97381 | 0.585780 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.12330 | 0.497619 | ||||||||
\(107\) | 17.6912 | − | 4.74035i | 1.71028 | − | 0.458267i | 0.734783 | − | 0.678302i | \(-0.237284\pi\) |
0.975492 | + | 0.220035i | \(0.0706173\pi\) | |||||||
\(108\) | 5.10217 | + | 2.77451i | 0.490956 | + | 0.266978i | ||||
\(109\) | 5.47383 | − | 3.16032i | 0.524298 | − | 0.302704i | −0.214393 | − | 0.976747i | \(-0.568777\pi\) |
0.738691 | + | 0.674044i | \(0.235444\pi\) | |||||||
\(110\) | 1.36327 | − | 0.690626i | 0.129982 | − | 0.0658486i | ||||
\(111\) | 9.84958 | − | 4.69541i | 0.934880 | − | 0.445668i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.98925 | − | 7.98925i | 0.751566 | − | 0.751566i | −0.223206 | − | 0.974771i | \(-0.571652\pi\) |
0.974771 | + | 0.223206i | \(0.0716521\pi\) | |||||||
\(114\) | −0.0981924 | + | 1.24423i | −0.00919656 | + | 0.116533i | ||||
\(115\) | −0.396797 | + | 7.24845i | −0.0370015 | + | 0.675921i | ||||
\(116\) | 3.94302 | − | 2.27650i | 0.366100 | − | 0.211368i | ||||
\(117\) | −5.58956 | − | 2.49151i | −0.516755 | − | 0.230340i | ||||
\(118\) | −1.07305 | − | 1.07305i | −0.0987824 | − | 0.0987824i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 6.88164 | + | 9.01570i | 0.628205 | + | 0.823017i | ||||
\(121\) | −5.23530 | + | 9.06780i | −0.475936 | + | 0.824346i | ||||
\(122\) | 2.32853 | − | 8.69020i | 0.210815 | − | 0.786774i | ||||
\(123\) | −7.56953 | + | 1.40125i | −0.682521 | + | 0.126346i | ||||
\(124\) | −0.406407 | − | 0.234639i | −0.0364964 | − | 0.0210712i | ||||
\(125\) | 6.50831 | + | 9.09076i | 0.582121 | + | 0.813102i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.07524 | + | 1.07524i | −0.0954126 | + | 0.0954126i | −0.753202 | − | 0.657789i | \(-0.771492\pi\) |
0.657789 | + | 0.753202i | \(0.271492\pi\) | |||||||
\(128\) | −1.30372 | − | 4.86556i | −0.115234 | − | 0.430059i | ||||
\(129\) | 7.15960 | − | 10.4125i | 0.630368 | − | 0.916768i | ||||
\(130\) | −2.85948 | − | 3.19068i | −0.250793 | − | 0.279841i | ||||
\(131\) | 9.65210 | + | 5.57264i | 0.843308 | + | 0.486884i | 0.858387 | − | 0.513002i | \(-0.171467\pi\) |
−0.0150794 | + | 0.999886i | \(0.504800\pi\) | |||||||
\(132\) | 1.32768 | + | 0.470479i | 0.115560 | + | 0.0409499i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.71326 | 0.579937 | ||||||||
\(135\) | −2.67879 | − | 11.3059i | −0.230554 | − | 0.973060i | ||||
\(136\) | 10.7493 | + | 18.6183i | 0.921742 | + | 1.59650i | ||||
\(137\) | −2.98501 | + | 11.1402i | −0.255026 | + | 0.951771i | 0.713050 | + | 0.701114i | \(0.247313\pi\) |
−0.968076 | + | 0.250657i | \(0.919353\pi\) | |||||||
\(138\) | 4.01701 | − | 3.42936i | 0.341951 | − | 0.291926i | ||||
\(139\) | 1.33168i | 0.112952i | 0.998404 | + | 0.0564760i | \(0.0179864\pi\) | ||||
−0.998404 | + | 0.0564760i | \(0.982014\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.24176 | + | 10.9957i | 0.441436 | + | 0.926003i | ||||
\(142\) | −1.71758 | − | 6.41009i | −0.144136 | − | 0.537922i | ||||
\(143\) | −1.43366 | − | 0.384149i | −0.119889 | − | 0.0321241i | ||||
\(144\) | 0.242504 | − | 1.52686i | 0.0202086 | − | 0.127238i | ||||
\(145\) | −8.65632 | − | 2.83490i | −0.718868 | − | 0.235426i | ||||
\(146\) | 14.8238i | 1.22682i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.97893 | + | 4.97893i | 0.409265 | + | 0.409265i | ||||
\(149\) | −0.650455 | + | 1.12662i | −0.0532873 | + | 0.0922963i | −0.891439 | − | 0.453141i | \(-0.850303\pi\) |
0.838151 | + | 0.545438i | \(0.183637\pi\) | |||||||
\(150\) | 1.52136 | − | 7.99110i | 0.124218 | − | 0.652471i | ||||
\(151\) | 1.58575 | + | 2.74659i | 0.129046 | + | 0.223515i | 0.923307 | − | 0.384062i | \(-0.125475\pi\) |
−0.794261 | + | 0.607577i | \(0.792142\pi\) | |||||||
\(152\) | −2.17004 | + | 0.581460i | −0.176013 | + | 0.0471627i | ||||
\(153\) | −2.29267 | − | 21.9039i | −0.185352 | − | 1.77083i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.193056 | + | 0.918770i | 0.0155066 | + | 0.0737974i | ||||
\(156\) | 0.310688 | − | 3.93684i | 0.0248750 | − | 0.315200i | ||||
\(157\) | −4.17033 | − | 1.11744i | −0.332829 | − | 0.0891812i | 0.0885346 | − | 0.996073i | \(-0.471782\pi\) |
−0.421363 | + | 0.906892i | \(0.638448\pi\) | |||||||
\(158\) | −6.08529 | − | 1.63055i | −0.484119 | − | 0.129719i | ||||
\(159\) | 0.743244 | − | 9.41792i | 0.0589431 | − | 0.746890i | ||||
\(160\) | −6.56683 | + | 10.0607i | −0.519153 | + | 0.795366i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −4.61034 | + | 7.08596i | −0.362223 | + | 0.556725i | ||||
\(163\) | 9.23320 | − | 2.47403i | 0.723200 | − | 0.193781i | 0.121601 | − | 0.992579i | \(-0.461197\pi\) |
0.601599 | + | 0.798798i | \(0.294530\pi\) | |||||||
\(164\) | −2.48383 | − | 4.30211i | −0.193954 | − | 0.335939i | ||||
\(165\) | −1.07177 | − | 2.60622i | −0.0834375 | − | 0.202894i | ||||
\(166\) | −1.21552 | + | 2.10534i | −0.0943426 | + | 0.163406i | ||||
\(167\) | 5.52186 | + | 5.52186i | 0.427294 | + | 0.427294i | 0.887706 | − | 0.460411i | \(-0.152298\pi\) |
−0.460411 | + | 0.887706i | \(0.652298\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 8.83880i | − | 0.679908i | ||||||
\(170\) | 4.79889 | − | 14.6533i | 0.368058 | − | 1.12386i | ||||
\(171\) | 2.27297 | + | 0.361005i | 0.173818 | + | 0.0276067i | ||||
\(172\) | 7.87652 | + | 2.11051i | 0.600579 | + | 0.160925i | ||||
\(173\) | 3.46278 | + | 12.9233i | 0.263271 | + | 0.982539i | 0.963300 | + | 0.268426i | \(0.0865034\pi\) |
−0.700030 | + | 0.714114i | \(0.746830\pi\) | |||||||
\(174\) | 2.85186 | + | 5.98236i | 0.216199 | + | 0.453522i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 0.374957i | − | 0.0282634i | ||||||
\(177\) | −2.12821 | + | 1.81687i | −0.159966 | + | 0.136564i | ||||
\(178\) | 3.37912 | − | 12.6110i | 0.253276 | − | 0.945238i | ||||
\(179\) | −6.35437 | − | 11.0061i | −0.474948 | − | 0.822633i | 0.524641 | − | 0.851324i | \(-0.324200\pi\) |
−0.999588 | + | 0.0286903i | \(0.990866\pi\) | |||||||
\(180\) | 6.29941 | − | 4.06623i | 0.469530 | − | 0.303079i | ||||
\(181\) | 9.56008 | 0.710595 | 0.355298 | − | 0.934753i | \(-0.384380\pi\) | ||||
0.355298 | + | 0.934753i | \(0.384380\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.6370 | − | 5.54113i | −1.15592 | − | 0.409612i | ||||
\(184\) | 8.23346 | + | 4.75359i | 0.606979 | + | 0.350439i | ||||
\(185\) | 0.769986 | − | 14.0656i | 0.0566105 | − | 1.03413i | ||||
\(186\) | 0.387022 | − | 0.562861i | 0.0283778 | − | 0.0412710i | ||||
\(187\) | −1.38247 | − | 5.15946i | −0.101096 | − | 0.377297i | ||||
\(188\) | −5.55827 | + | 5.55827i | −0.405379 | + | 0.405379i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.34930 | + | 0.880716i | 0.0978882 | + | 0.0638938i | ||||
\(191\) | 4.05391 | + | 2.34053i | 0.293331 | + | 0.169355i | 0.639443 | − | 0.768839i | \(-0.279165\pi\) |
−0.346112 | + | 0.938193i | \(0.612498\pi\) | |||||||
\(192\) | 10.3506 | − | 1.91607i | 0.746992 | − | 0.138281i | ||||
\(193\) | 1.86008 | − | 6.94190i | 0.133891 | − | 0.499689i | −0.866109 | − | 0.499856i | \(-0.833386\pi\) |
1.00000 | 0.000166726i | \(5.30705e-5\pi\) | ||||||||
\(194\) | 3.73643 | − | 6.47168i | 0.268260 | − | 0.464640i | ||||
\(195\) | −6.28010 | + | 4.79357i | −0.449727 | + | 0.343275i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.81705 | + | 3.81705i | 0.271954 | + | 0.271954i | 0.829886 | − | 0.557933i | \(-0.188405\pi\) |
−0.557933 | + | 0.829886i | \(0.688405\pi\) | |||||||
\(198\) | −0.834747 | + | 1.87271i | −0.0593229 | + | 0.133087i | ||||
\(199\) | 10.1820 | − | 5.87860i | 0.721785 | − | 0.416723i | −0.0936244 | − | 0.995608i | \(-0.529845\pi\) |
0.815409 | + | 0.578885i | \(0.196512\pi\) | |||||||
\(200\) | 14.4726 | − | 2.22322i | 1.02337 | − | 0.157205i | ||||
\(201\) | 0.973901 | − | 12.3407i | 0.0686937 | − | 0.870443i | ||||
\(202\) | 3.50860 | − | 3.50860i | 0.246864 | − | 0.246864i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 12.8288 | − | 6.11565i | 0.898197 | − | 0.428181i | ||||
\(205\) | −3.09308 | + | 9.44466i | −0.216030 | + | 0.659643i | ||||
\(206\) | −5.90759 | + | 3.41075i | −0.411601 | + | 0.237638i | ||||
\(207\) | −5.72127 | − | 7.88178i | −0.397656 | − | 0.547822i | ||||
\(208\) | −1.01541 | + | 0.272077i | −0.0704058 | + | 0.0188652i | ||||
\(209\) | 0.558182 | 0.0386103 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.4378 | 1.75121 | 0.875606 | − | 0.483025i | \(-0.160462\pi\) | ||||
0.875606 | + | 0.483025i | \(0.160462\pi\) | |||||||
\(212\) | 5.88861 | − | 1.57785i | 0.404432 | − | 0.108367i | ||||
\(213\) | −12.0325 | + | 2.22742i | −0.824455 | + | 0.152620i | ||||
\(214\) | −14.8988 | + | 8.60184i | −1.01846 | + | 0.588010i | ||||
\(215\) | −7.37235 | − | 14.5527i | −0.502790 | − | 0.992486i | ||||
\(216\) | −14.7941 | − | 3.56184i | −1.00661 | − | 0.242353i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.19810 | + | 4.19810i | −0.284331 | + | 0.284331i | ||||
\(219\) | 27.2498 | + | 2.15050i | 1.84137 | + | 0.145318i | ||||
\(220\) | 1.35421 | − | 1.21364i | 0.0913011 | − | 0.0818238i | ||||
\(221\) | −12.9690 | + | 7.48766i | −0.872389 | + | 0.503674i | ||||
\(222\) | −7.79502 | + | 6.65468i | −0.523168 | + | 0.446633i | ||||
\(223\) | 7.63840 | + | 7.63840i | 0.511505 | + | 0.511505i | 0.914987 | − | 0.403482i | \(-0.132200\pi\) |
−0.403482 | + | 0.914987i | \(0.632200\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.4690 | − | 3.95592i | −0.964597 | − | 0.263728i | ||||
\(226\) | −5.30638 | + | 9.19092i | −0.352975 | + | 0.611371i | ||||
\(227\) | −0.209579 | + | 0.782158i | −0.0139102 | + | 0.0519137i | −0.972532 | − | 0.232769i | \(-0.925221\pi\) |
0.958622 | + | 0.284682i | \(0.0918881\pi\) | |||||||
\(228\) | 0.270332 | + | 1.46034i | 0.0179032 | + | 0.0967130i | ||||
\(229\) | 14.0174 | + | 8.09297i | 0.926299 | + | 0.534799i | 0.885639 | − | 0.464374i | \(-0.153721\pi\) |
0.0406596 | + | 0.999173i | \(0.487054\pi\) | |||||||
\(230\) | −1.40216 | − | 6.67298i | −0.0924556 | − | 0.440004i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.43527 | + | 8.43527i | −0.553803 | + | 0.553803i | ||||
\(233\) | 3.42317 | + | 12.7754i | 0.224259 | + | 0.836946i | 0.982700 | + | 0.185204i | \(0.0592947\pi\) |
−0.758441 | + | 0.651742i | \(0.774039\pi\) | |||||||
\(234\) | 5.67712 | + | 0.901670i | 0.371125 | + | 0.0589440i | ||||
\(235\) | 15.7023 | + | 0.859581i | 1.02431 | + | 0.0560729i | ||||
\(236\) | −1.56382 | − | 0.902869i | −0.101796 | − | 0.0587718i | ||||
\(237\) | −3.88016 | + | 10.9497i | −0.252043 | + | 0.711263i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.0827799 | −0.00535459 | −0.00267729 | − | 0.999996i | \(-0.500852\pi\) | ||||
−0.00267729 | + | 0.999996i | \(0.500852\pi\) | |||||||
\(240\) | −1.58034 | − | 1.21903i | −0.102010 | − | 0.0786882i | ||||
\(241\) | 7.25921 | + | 12.5733i | 0.467607 | + | 0.809919i | 0.999315 | − | 0.0370088i | \(-0.0117830\pi\) |
−0.531708 | + | 0.846928i | \(0.678450\pi\) | |||||||
\(242\) | 2.54551 | − | 9.49997i | 0.163632 | − | 0.610681i | ||||
\(243\) | 12.3569 | + | 9.50294i | 0.792698 | + | 0.609614i | ||||
\(244\) | − | 10.7055i | − | 0.685347i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.52718 | − | 3.11158i | 0.416158 | − | 0.198387i | ||||
\(247\) | −0.405030 | − | 1.51159i | −0.0257714 | − | 0.0961803i | ||||
\(248\) | 1.18765 | + | 0.318231i | 0.0754160 | + | 0.0202077i | ||||
\(249\) | 3.69381 | + | 2.53986i | 0.234086 | + | 0.160957i | ||||
\(250\) | −8.11505 | − | 6.66581i | −0.513241 | − | 0.421583i | ||||
\(251\) | − | 16.4075i | − | 1.03563i | −0.855493 | − | 0.517815i | \(-0.826746\pi\) | ||
0.855493 | − | 0.517815i | \(-0.173254\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.67028 | − | 1.67028i | −0.105009 | − | 0.105009i | ||||
\(254\) | 0.714167 | − | 1.23697i | 0.0448108 | − | 0.0776146i | ||||
\(255\) | −26.2403 | − | 10.9473i | −1.64323 | − | 0.685549i | ||||
\(256\) | 8.44320 | + | 14.6241i | 0.527700 | + | 0.914004i | ||||
\(257\) | 1.33133 | − | 0.356728i | 0.0830459 | − | 0.0222521i | −0.217057 | − | 0.976159i | \(-0.569646\pi\) |
0.300103 | + | 0.953907i | \(0.402979\pi\) | |||||||
\(258\) | −3.96452 | + | 11.1878i | −0.246820 | + | 0.696523i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.26927 | − | 2.78665i | −0.264769 | − | 0.172821i | ||||
\(261\) | 11.4108 | − | 4.37457i | 0.706311 | − | 0.270779i | ||||
\(262\) | −10.1121 | − | 2.70953i | −0.624729 | − | 0.167396i | ||||
\(263\) | 19.1314 | + | 5.12625i | 1.17969 | + | 0.316098i | 0.794805 | − | 0.606865i | \(-0.207573\pi\) |
0.384888 | + | 0.922963i | \(0.374240\pi\) | |||||||
\(264\) | −3.67916 | − | 0.290352i | −0.226437 | − | 0.0178699i | ||||
\(265\) | −10.2132 | − | 6.66637i | −0.627390 | − | 0.409512i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −22.6921 | − | 8.04118i | −1.38873 | − | 0.492112i | ||||
\(268\) | 7.71607 | − | 2.06752i | 0.471334 | − | 0.126294i | ||||
\(269\) | 0.835235 | + | 1.44667i | 0.0509252 | + | 0.0882050i | 0.890364 | − | 0.455249i | \(-0.150450\pi\) |
−0.839439 | + | 0.543454i | \(0.817116\pi\) | |||||||
\(270\) | 5.17906 | + | 9.60663i | 0.315187 | + | 0.584641i | ||||
\(271\) | 0.646739 | − | 1.12018i | 0.0392866 | − | 0.0680464i | −0.845714 | − | 0.533637i | \(-0.820825\pi\) |
0.885000 | + | 0.465591i | \(0.154158\pi\) | |||||||
\(272\) | −2.67509 | − | 2.67509i | −0.162201 | − | 0.162201i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 10.8332i | − | 0.654457i | ||||||
\(275\) | −3.61627 | − | 0.397116i | −0.218069 | − | 0.0239470i | ||||
\(276\) | 3.56091 | − | 5.17877i | 0.214342 | − | 0.311725i | ||||
\(277\) | −11.3088 | − | 3.03017i | −0.679477 | − | 0.182065i | −0.0974572 | − | 0.995240i | \(-0.531071\pi\) |
−0.582020 | + | 0.813174i | \(0.697738\pi\) | |||||||
\(278\) | −0.323746 | − | 1.20824i | −0.0194170 | − | 0.0724653i | ||||
\(279\) | −0.978534 | − | 0.793099i | −0.0585833 | − | 0.0474816i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.3020i | 0.853186i | 0.904444 | + | 0.426593i | \(0.140286\pi\) | ||||
−0.904444 | + | 0.426593i | \(0.859714\pi\) | |||||||
\(282\) | −7.42902 | − | 8.70205i | −0.442391 | − | 0.518199i | ||||
\(283\) | −2.70377 | + | 10.0906i | −0.160722 | + | 0.599823i | 0.837825 | + | 0.545939i | \(0.183827\pi\) |
−0.998547 | + | 0.0538844i | \(0.982840\pi\) | |||||||
\(284\) | −3.94829 | − | 6.83864i | −0.234288 | − | 0.405799i | ||||
\(285\) | 1.81472 | − | 2.35258i | 0.107495 | − | 0.139355i | ||||
\(286\) | 1.39415 | 0.0824380 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.67797 | − | 16.0311i | −0.0988753 | − | 0.944644i | ||||
\(289\) | −31.9504 | − | 18.4466i | −1.87943 | − | 1.08509i | ||||
\(290\) | 8.54308 | + | 0.467668i | 0.501667 | + | 0.0274624i | ||||
\(291\) | −11.3545 | − | 7.80735i | −0.665615 | − | 0.457675i | ||||
\(292\) | 4.56535 | + | 17.0381i | 0.267167 | + | 0.997081i | ||||
\(293\) | 9.37059 | − | 9.37059i | 0.547436 | − | 0.547436i | −0.378262 | − | 0.925698i | \(-0.623478\pi\) |
0.925698 | + | 0.378262i | \(0.123478\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.742863 | + | 3.53534i | 0.0432511 | + | 0.205836i | ||||
\(296\) | −15.9771 | − | 9.22436i | −0.928648 | − | 0.536155i | ||||
\(297\) | 3.32141 | + | 1.80615i | 0.192728 | + | 0.104804i | ||||
\(298\) | 0.316265 | − | 1.18032i | 0.0183207 | − | 0.0683738i | ||||
\(299\) | −3.31123 | + | 5.73521i | −0.191493 | + | 0.331676i | ||||
\(300\) | −0.712442 | − | 9.65334i | −0.0411329 | − | 0.557336i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.10647 | − | 2.10647i | −0.121214 | − | 0.121214i | ||||
\(303\) | −5.94069 | − | 6.95868i | −0.341284 | − | 0.399766i | ||||
\(304\) | 0.342373 | − | 0.197669i | 0.0196364 | − | 0.0113371i | ||||
\(305\) | −15.9494 | + | 14.2938i | −0.913262 | + | 0.818463i | ||||
\(306\) | 7.40521 | + | 19.3161i | 0.423328 | + | 1.10423i | ||||
\(307\) | 16.7040 | − | 16.7040i | 0.953350 | − | 0.953350i | −0.0456091 | − | 0.998959i | \(-0.514523\pi\) |
0.998959 | + | 0.0456091i | \(0.0145229\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.41280 | + | 11.3544i | 0.307923 | + | 0.645932i | ||||
\(310\) | −0.398522 | − | 0.786666i | −0.0226346 | − | 0.0446796i | ||||
\(311\) | −13.5200 | + | 7.80578i | −0.766649 | + | 0.442625i | −0.831678 | − | 0.555258i | \(-0.812619\pi\) |
0.0650288 | + | 0.997883i | \(0.479286\pi\) | |||||||
\(312\) | 1.88339 | + | 10.1741i | 0.106626 | + | 0.575994i | ||||
\(313\) | −15.8163 | + | 4.23797i | −0.893991 | + | 0.239544i | −0.676434 | − | 0.736504i | \(-0.736475\pi\) |
−0.217557 | + | 0.976048i | \(0.569809\pi\) | |||||||
\(314\) | 4.05540 | 0.228860 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.49647 | −0.421709 | ||||||||
\(317\) | −23.2486 | + | 6.22945i | −1.30577 | + | 0.349881i | −0.843630 | − | 0.536924i | \(-0.819586\pi\) |
−0.462143 | + | 0.886805i | \(0.652919\pi\) | |||||||
\(318\) | 1.61525 | + | 8.72557i | 0.0905787 | + | 0.489306i | ||||
\(319\) | 2.56683 | − | 1.48196i | 0.143715 | − | 0.0829737i | ||||
\(320\) | 4.22950 | − | 12.9147i | 0.236436 | − | 0.721953i | ||||
\(321\) | 13.6510 | + | 28.6357i | 0.761922 | + | 1.59829i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.98230 | − | 3.98230i | 0.221581 | − | 0.221581i | ||||
\(324\) | −3.11673 | + | 9.56432i | −0.173152 | + | 0.531351i | ||||
\(325\) | 1.54864 | + | 10.0813i | 0.0859029 | + | 0.559207i | ||||
\(326\) | −7.77582 | + | 4.48937i | −0.430663 | + | 0.248643i | ||||
\(327\) | 7.10815 | + | 8.32620i | 0.393081 | + | 0.460440i | ||||
\(328\) | 9.20347 | + | 9.20347i | 0.508177 | + | 0.508177i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.60602 | + | 2.10406i | 0.0884085 | + | 0.115825i | ||||
\(331\) | −4.82052 | + | 8.34938i | −0.264960 | + | 0.458923i | −0.967553 | − | 0.252668i | \(-0.918692\pi\) |
0.702594 | + | 0.711591i | \(0.252025\pi\) | |||||||
\(332\) | −0.748700 | + | 2.79418i | −0.0410902 | + | 0.153351i | ||||
\(333\) | 11.1021 | + | 15.2946i | 0.608394 | + | 0.838140i | ||||
\(334\) | −6.35241 | − | 3.66756i | −0.347588 | − | 0.200680i | ||||
\(335\) | −13.3827 | − | 8.73519i | −0.731176 | − | 0.477255i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.92766 | + | 1.92766i | −0.105006 | + | 0.105006i | −0.757658 | − | 0.652652i | \(-0.773656\pi\) |
0.652652 | + | 0.757658i | \(0.273656\pi\) | |||||||
\(338\) | 2.14880 | + | 8.01945i | 0.116880 | + | 0.436200i | ||||
\(339\) | 16.1254 | + | 11.0878i | 0.875813 | + | 0.602207i | ||||
\(340\) | 1.00289 | − | 18.3201i | 0.0543892 | − | 0.993549i | ||||
\(341\) | −0.264562 | − | 0.152745i | −0.0143269 | − | 0.00827162i | ||||
\(342\) | −2.15003 | + | 0.225042i | −0.116260 | + | 0.0121689i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −21.3652 | −1.15193 | ||||||||
\(345\) | −12.4700 | + | 1.60946i | −0.671365 | + | 0.0866506i | ||||
\(346\) | −6.28357 | − | 10.8835i | −0.337807 | − | 0.585099i | ||||
\(347\) | 7.09301 | − | 26.4715i | 0.380773 | − | 1.42106i | −0.463951 | − | 0.885861i | \(-0.653569\pi\) |
0.844724 | − | 0.535202i | \(-0.179765\pi\) | |||||||
\(348\) | 5.12029 | + | 5.99769i | 0.274476 | + | 0.321510i | ||||
\(349\) | 4.09834i | 0.219379i | 0.993966 | + | 0.109690i | \(0.0349857\pi\) | ||||
−0.993966 | + | 0.109690i | \(0.965014\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.48108 | − | 10.3052i | 0.132430 | − | 0.550049i | ||||
\(352\) | −1.01181 | − | 3.77613i | −0.0539297 | − | 0.201268i | ||||
\(353\) | 28.5015 | + | 7.63696i | 1.51698 | + | 0.406474i | 0.918747 | − | 0.394846i | \(-0.129202\pi\) |
0.598236 | + | 0.801320i | \(0.295869\pi\) | |||||||
\(354\) | 1.48922 | − | 2.16584i | 0.0791514 | − | 0.115113i | ||||
\(355\) | −4.91676 | + | 15.0132i | −0.260955 | + | 0.796820i | ||||
\(356\) | − | 15.5356i | − | 0.823383i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.44101 | + | 8.44101i | 0.446121 | + | 0.446121i | ||||
\(359\) | −14.3554 | + | 24.8643i | −0.757650 | + | 1.31229i | 0.186396 | + | 0.982475i | \(0.440319\pi\) |
−0.944046 | + | 0.329814i | \(0.893014\pi\) | |||||||
\(360\) | −13.1852 | + | 14.5626i | −0.694920 | + | 0.767519i | ||||
\(361\) | −9.20574 | − | 15.9448i | −0.484513 | − | 0.839200i | ||||
\(362\) | −8.67386 | + | 2.32415i | −0.455888 | + | 0.122155i | ||||
\(363\) | −17.0941 | − | 6.05746i | −0.897206 | − | 0.317934i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 19.2885 | − | 29.5508i | 1.00961 | − | 1.54676i | ||||
\(366\) | 15.5345 | + | 1.22596i | 0.812003 | + | 0.0640817i | ||||
\(367\) | −29.6717 | − | 7.95050i | −1.54885 | − | 0.415013i | −0.619737 | − | 0.784810i | \(-0.712761\pi\) |
−0.929113 | + | 0.369797i | \(0.879427\pi\) | |||||||
\(368\) | −1.61600 | − | 0.433005i | −0.0842397 | − | 0.0225720i | ||||
\(369\) | −4.77296 | − | 12.4500i | −0.248471 | − | 0.648121i | ||||
\(370\) | 2.72089 | + | 12.9489i | 0.141453 | + | 0.673184i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.271487 | − | 0.766133i | 0.0140760 | − | 0.0397222i | ||||
\(373\) | 23.4885 | − | 6.29374i | 1.21619 | − | 0.325877i | 0.407003 | − | 0.913427i | \(-0.366574\pi\) |
0.809188 | + | 0.587550i | \(0.199907\pi\) | |||||||
\(374\) | 2.50864 | + | 4.34509i | 0.129719 | + | 0.224679i | ||||
\(375\) | −13.4307 | + | 13.9505i | −0.693558 | + | 0.720400i | ||||
\(376\) | 10.2977 | − | 17.8361i | 0.531064 | − | 0.919829i | ||||
\(377\) | −5.87579 | − | 5.87579i | −0.302618 | − | 0.302618i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.45766i | 0.434441i | 0.976123 | + | 0.217220i | \(0.0696990\pi\) | ||||
−0.976123 | + | 0.217220i | \(0.930301\pi\) | |||||||
\(380\) | 1.82209 | + | 0.596726i | 0.0934713 | + | 0.0306114i | ||||
\(381\) | −2.17026 | − | 1.49227i | −0.111186 | − | 0.0764512i | ||||
\(382\) | −4.24712 | − | 1.13801i | −0.217302 | − | 0.0582258i | ||||
\(383\) | −2.64013 | − | 9.85308i | −0.134904 | − | 0.503469i | −0.999998 | − | 0.00185953i | \(-0.999408\pi\) |
0.865094 | − | 0.501610i | \(-0.167259\pi\) | |||||||
\(384\) | 7.87559 | − | 3.75438i | 0.401899 | − | 0.191590i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 6.75059i | 0.343596i | ||||||||
\(387\) | 19.9909 | + | 8.91083i | 1.01619 | + | 0.452963i | ||||
\(388\) | 2.30145 | − | 8.58914i | 0.116839 | − | 0.436048i | ||||
\(389\) | 8.33093 | + | 14.4296i | 0.422395 | + | 0.731609i | 0.996173 | − | 0.0874014i | \(-0.0278563\pi\) |
−0.573778 | + | 0.819011i | \(0.694523\pi\) | |||||||
\(390\) | 4.53257 | − | 5.87596i | 0.229516 | − | 0.297541i | ||||
\(391\) | −23.8329 | −1.20528 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.44779 | + | 18.1956i | −0.325248 | + | 0.917844i | ||||
\(394\) | −4.39118 | − | 2.53525i | −0.221224 | − | 0.127724i | ||||
\(395\) | 10.0092 | + | 11.1685i | 0.503619 | + | 0.561951i | ||||
\(396\) | −0.382694 | + | 2.40953i | −0.0192311 | + | 0.121083i | ||||
\(397\) | −2.47392 | − | 9.23281i | −0.124163 | − | 0.463381i | 0.875646 | − | 0.482954i | \(-0.160436\pi\) |
−0.999808 | + | 0.0195726i | \(0.993769\pi\) | |||||||
\(398\) | −7.80901 | + | 7.80901i | −0.391430 | + | 0.391430i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.35875 | + | 1.03705i | −0.117937 | + | 0.0518526i | ||||
\(401\) | −17.1970 | − | 9.92869i | −0.858777 | − | 0.495815i | 0.00482553 | − | 0.999988i | \(-0.498464\pi\) |
−0.863603 | + | 0.504173i | \(0.831797\pi\) | |||||||
\(402\) | 2.11652 | + | 11.4334i | 0.105562 | + | 0.570249i | ||||
\(403\) | −0.221671 | + | 0.827288i | −0.0110422 | + | 0.0412101i | ||||
\(404\) | 2.95215 | − | 5.11327i | 0.146875 | − | 0.254394i | ||||
\(405\) | 18.4107 | − | 8.12677i | 0.914837 | − | 0.403822i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.24118 | + | 3.24118i | 0.160659 | + | 0.160659i | ||||
\(408\) | −28.3201 | + | 24.1771i | −1.40205 | + | 1.19695i | ||||
\(409\) | −22.7311 | + | 13.1238i | −1.12398 | + | 0.648930i | −0.942414 | − | 0.334448i | \(-0.891450\pi\) |
−0.181566 | + | 0.983379i | \(0.558117\pi\) | |||||||
\(410\) | 0.510259 | − | 9.32110i | 0.0251999 | − | 0.460336i | ||||
\(411\) | −19.9141 | − | 1.57158i | −0.982292 | − | 0.0775206i | ||||
\(412\) | −5.73963 | + | 5.73963i | −0.282771 | + | 0.282771i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 7.10705 | + | 5.76024i | 0.349293 | + | 0.283100i | ||||
\(415\) | 5.16255 | − | 2.61533i | 0.253420 | − | 0.128382i | ||||
\(416\) | −9.49181 | + | 5.48010i | −0.465374 | + | 0.268684i | ||||
\(417\) | −2.26801 | + | 0.419847i | −0.111065 | + | 0.0205600i | ||||
\(418\) | −0.506439 | + | 0.135700i | −0.0247707 | + | 0.00663730i | ||||
\(419\) | −23.9293 | −1.16902 | −0.584511 | − | 0.811386i | \(-0.698714\pi\) | ||||
−0.584511 | + | 0.811386i | \(0.698714\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.89428 | −0.482218 | −0.241109 | − | 0.970498i | \(-0.577511\pi\) | ||||
−0.241109 | + | 0.970498i | \(0.577511\pi\) | |||||||
\(422\) | −23.0798 | + | 6.18420i | −1.12350 | + | 0.301042i | ||||
\(423\) | −17.0743 | + | 12.3940i | −0.830181 | + | 0.602616i | ||||
\(424\) | −13.8330 | + | 7.98647i | −0.671788 | + | 0.387857i | ||||
\(425\) | −28.6331 | + | 22.9668i | −1.38891 | + | 1.11405i | ||||
\(426\) | 10.3756 | − | 4.94617i | 0.502700 | − | 0.239643i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −14.4752 | + | 14.4752i | −0.699687 | + | 0.699687i | ||||
\(429\) | 0.202252 | − | 2.56280i | 0.00976480 | − | 0.123733i | ||||
\(430\) | 10.2269 | + | 11.4114i | 0.493183 | + | 0.550306i | ||||
\(431\) | 27.8066 | − | 16.0542i | 1.33940 | − | 0.773302i | 0.352680 | − | 0.935744i | \(-0.385271\pi\) |
0.986718 | + | 0.162443i | \(0.0519372\pi\) | |||||||
\(432\) | 2.67687 | − | 0.0683684i | 0.128791 | − | 0.00328938i | ||||
\(433\) | −13.5310 | − | 13.5310i | −0.650257 | − | 0.650257i | 0.302798 | − | 0.953055i | \(-0.402079\pi\) |
−0.953055 | + | 0.302798i | \(0.902079\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.09905 | − | 15.6365i | 0.100642 | − | 0.749712i | ||||
\(436\) | −3.53230 | + | 6.11812i | −0.169166 | + | 0.293005i | ||||
\(437\) | 0.644596 | − | 2.40567i | 0.0308352 | − | 0.115079i | ||||
\(438\) | −25.2466 | + | 4.67357i | −1.20633 | + | 0.223312i | ||||
\(439\) | 29.4491 | + | 17.0025i | 1.40553 | + | 0.811483i | 0.994953 | − | 0.100343i | \(-0.0319941\pi\) |
0.410577 | + | 0.911826i | \(0.365327\pi\) | |||||||
\(440\) | −2.60425 | + | 3.98983i | −0.124153 | + | 0.190208i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.94645 | − | 9.94645i | 0.473104 | − | 0.473104i | ||||
\(443\) | −6.89265 | − | 25.7237i | −0.327480 | − | 1.22217i | −0.911796 | − | 0.410644i | \(-0.865304\pi\) |
0.584316 | − | 0.811526i | \(-0.301363\pi\) | |||||||
\(444\) | −6.90996 | + | 10.0494i | −0.327932 | + | 0.476924i | ||||
\(445\) | −23.1455 | + | 20.7430i | −1.09720 | + | 0.983310i | ||||
\(446\) | −8.78730 | − | 5.07335i | −0.416091 | − | 0.240230i | ||||
\(447\) | −2.12384 | − | 0.752604i | −0.100454 | − | 0.0355969i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.5069 | 0.637430 | 0.318715 | − | 0.947851i | \(-0.396749\pi\) | ||||
0.318715 | + | 0.947851i | \(0.396749\pi\) | |||||||
\(450\) | 14.0894 | + | 0.0716561i | 0.664181 | + | 0.00337790i | ||||
\(451\) | −1.61692 | − | 2.80059i | −0.0761378 | − | 0.131875i | ||||
\(452\) | −3.26847 | + | 12.1981i | −0.153736 | + | 0.573750i | ||||
\(453\) | −4.17782 | + | 3.56664i | −0.196291 | + | 0.167575i | ||||
\(454\) | − | 0.760603i | − | 0.0356969i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.67445 | − | 3.51251i | −0.0784135 | − | 0.164488i | ||||
\(457\) | 3.39846 | + | 12.6832i | 0.158973 | + | 0.593297i | 0.998732 | + | 0.0503372i | \(0.0160296\pi\) |
−0.839759 | + | 0.542959i | \(0.817304\pi\) | |||||||
\(458\) | −14.6855 | − | 3.93497i | −0.686209 | − | 0.183869i | ||||
\(459\) | 36.5821 | − | 10.8104i | 1.70751 | − | 0.504588i | ||||
\(460\) | −3.66672 | − | 7.23796i | −0.170962 | − | 0.337471i | ||||
\(461\) | − | 4.02367i | − | 0.187401i | −0.995600 | − | 0.0937006i | \(-0.970130\pi\) | ||
0.995600 | − | 0.0937006i | \(-0.0298696\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.2088 | − | 12.2088i | −0.567392 | − | 0.567392i | 0.364005 | − | 0.931397i | \(-0.381409\pi\) |
−0.931397 | + | 0.364005i | \(0.881409\pi\) | |||||||
\(464\) | 1.04961 | − | 1.81798i | 0.0487270 | − | 0.0843977i | ||||
\(465\) | −1.50390 | + | 0.618462i | −0.0697419 | + | 0.0286805i | ||||
\(466\) | −6.21168 | − | 10.7589i | −0.287750 | − | 0.498398i | ||||
\(467\) | 29.1344 | − | 7.80654i | 1.34818 | − | 0.361244i | 0.488717 | − | 0.872442i | \(-0.337465\pi\) |
0.859462 | + | 0.511199i | \(0.170798\pi\) | |||||||
\(468\) | 6.80285 | − | 0.712051i | 0.314462 | − | 0.0329146i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −14.4557 | + | 3.03750i | −0.666791 | + | 0.140109i | ||||
\(471\) | 0.588323 | − | 7.45486i | 0.0271085 | − | 0.343502i | ||||
\(472\) | 4.56998 | + | 1.22452i | 0.210350 | + | 0.0563632i | ||||
\(473\) | 5.12746 | + | 1.37390i | 0.235761 | + | 0.0631719i | ||||
\(474\) | 0.858472 | − | 10.8780i | 0.0394309 | − | 0.499644i | ||||
\(475\) | −1.54381 | − | 3.51137i | −0.0708351 | − | 0.161113i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 16.2741 | − | 1.70340i | 0.745141 | − | 0.0779935i | ||||
\(478\) | 0.0751063 | − | 0.0201247i | 0.00343528 | − | 0.000920481i | ||||
\(479\) | 6.48360 | + | 11.2299i | 0.296243 | + | 0.513108i | 0.975273 | − | 0.221002i | \(-0.0709328\pi\) |
−0.679030 | + | 0.734110i | \(0.737599\pi\) | |||||||
\(480\) | −19.2048 | − | 8.01218i | −0.876577 | − | 0.365704i | ||||
\(481\) | 6.42545 | − | 11.1292i | 0.292975 | − | 0.507448i | ||||
\(482\) | −9.64299 | − | 9.64299i | −0.439226 | − | 0.439226i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 11.7030i | − | 0.531955i | ||||||
\(485\) | −15.8693 | + | 8.03935i | −0.720590 | + | 0.365048i | ||||
\(486\) | −13.5217 | − | 5.61792i | −0.613358 | − | 0.254834i | ||||
\(487\) | 28.1934 | + | 7.55441i | 1.27757 | + | 0.342323i | 0.832925 | − | 0.553386i | \(-0.186665\pi\) |
0.444641 | + | 0.895709i | \(0.353331\pi\) | |||||||
\(488\) | 7.25967 | + | 27.0935i | 0.328630 | + | 1.22646i | ||||
\(489\) | 7.12455 | + | 14.9452i | 0.322183 | + | 0.675846i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 17.3154i | − | 0.781432i | −0.920511 | − | 0.390716i | \(-0.872227\pi\) | ||
0.920511 | − | 0.390716i | \(-0.127773\pi\) | |||||||
\(492\) | 6.54391 | − | 5.58659i | 0.295022 | − | 0.251863i | ||||
\(493\) | 7.73989 | − | 28.8857i | 0.348587 | − | 1.30094i | ||||
\(494\) | 0.734968 | + | 1.27300i | 0.0330678 | + | 0.0572750i | ||||
\(495\) | 4.10079 | − | 2.64703i | 0.184317 | − | 0.118975i | ||||
\(496\) | −0.216367 | −0.00971516 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.96886 | − | 1.40641i | −0.177849 | − | 0.0630227i | ||||
\(499\) | −14.5814 | − | 8.41859i | −0.652754 | − | 0.376868i | 0.136756 | − | 0.990605i | \(-0.456332\pi\) |
−0.789511 | + | 0.613737i | \(0.789666\pi\) | |||||||
\(500\) | −11.3802 | − | 5.16230i | −0.508937 | − | 0.230865i | ||||
\(501\) | −7.66346 | + | 11.1453i | −0.342378 | + | 0.497934i | ||||
\(502\) | 3.98883 | + | 14.8865i | 0.178030 | + | 0.664417i | ||||
\(503\) | −2.89757 | + | 2.89757i | −0.129196 | + | 0.129196i | −0.768748 | − | 0.639552i | \(-0.779120\pi\) |
0.639552 | + | 0.768748i | \(0.279120\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.5596 | + | 2.42897i | −0.514397 | + | 0.108088i | ||||
\(506\) | 1.92151 | + | 1.10938i | 0.0854213 | + | 0.0493180i | ||||
\(507\) | 15.0535 | − | 2.78665i | 0.668549 | − | 0.123760i | ||||
\(508\) | 0.439891 | − | 1.64170i | 0.0195170 | − | 0.0728385i | ||||
\(509\) | 1.72948 | − | 2.99555i | 0.0766579 | − | 0.132775i | −0.825148 | − | 0.564916i | \(-0.808908\pi\) |
0.901806 | + | 0.432141i | \(0.142242\pi\) | |||||||
\(510\) | 26.4692 | + | 3.55324i | 1.17208 | + | 0.157340i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −4.09210 | − | 4.09210i | −0.180847 | − | 0.180847i | ||||
\(513\) | 0.101777 | + | 3.98494i | 0.00449357 | + | 0.175940i | ||||
\(514\) | −1.12119 | + | 0.647319i | −0.0494536 | + | 0.0285520i | ||||
\(515\) | 16.2147 | + | 0.887628i | 0.714503 | + | 0.0391136i | ||||
\(516\) | −1.11117 | + | 14.0800i | −0.0489164 | + | 0.619838i | ||||
\(517\) | −3.61832 | + | 3.61832i | −0.159134 | + | 0.159134i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.9181 | + | 9.97191i | −0.918204 | + | 0.437718i | ||||
\(520\) | 12.6944 | + | 4.15736i | 0.556687 | + | 0.182312i | ||||
\(521\) | 31.2875 | − | 18.0638i | 1.37073 | − | 0.791392i | 0.379710 | − | 0.925105i | \(-0.376024\pi\) |
0.991020 | + | 0.133714i | \(0.0426903\pi\) | |||||||
\(522\) | −9.28953 | + | 6.74314i | −0.406592 | + | 0.295139i | ||||
\(523\) | 4.71576 | − | 1.26359i | 0.206206 | − | 0.0552527i | −0.154237 | − | 0.988034i | \(-0.549292\pi\) |
0.360443 | + | 0.932781i | \(0.382625\pi\) | |||||||
\(524\) | −12.4571 | −0.544192 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.6042 | −0.811181 | ||||||||
\(527\) | −2.97724 | + | 0.797749i | −0.129691 | + | 0.0347505i | ||||
\(528\) | 0.638594 | − | 0.118214i | 0.0277913 | − | 0.00514462i | ||||
\(529\) | 10.7911 | − | 6.23025i | 0.469179 | − | 0.270881i | ||||
\(530\) | 10.8871 | + | 3.56547i | 0.472905 | + | 0.154874i | ||||
\(531\) | −3.76531 | − | 3.05177i | −0.163401 | − | 0.132436i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.41090 | + | 6.41090i | −0.277687 | + | 0.277687i | ||||
\(534\) | 22.5434 | + | 1.77908i | 0.975549 | + | 0.0769885i | ||||
\(535\) | 40.8930 | + | 2.23858i | 1.76796 | + | 0.0967822i | ||||
\(536\) | −18.1259 | + | 10.4650i | −0.782918 | + | 0.452018i | ||||
\(537\) | 16.7413 | − | 14.2922i | 0.722439 | − | 0.616752i | ||||
\(538\) | −1.10951 | − | 1.10951i | −0.0478343 | − | 0.0478343i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 8.91130 | + | 9.44664i | 0.383481 | + | 0.406519i | ||||
\(541\) | 16.1283 | − | 27.9350i | 0.693408 | − | 1.20102i | −0.277306 | − | 0.960782i | \(-0.589442\pi\) |
0.970714 | − | 0.240237i | \(-0.0772251\pi\) | |||||||
\(542\) | −0.314458 | + | 1.17357i | −0.0135071 | + | 0.0504093i | ||||
\(543\) | 3.01405 | + | 16.2819i | 0.129345 | + | 0.698724i | ||||
\(544\) | −34.1591 | − | 19.7218i | −1.46456 | − | 0.845564i | ||||
\(545\) | 13.8313 | − | 2.90630i | 0.592469 | − | 0.124492i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.2554 | − | 21.2554i | 0.908817 | − | 0.908817i | −0.0873598 | − | 0.996177i | \(-0.527843\pi\) |
0.996177 | + | 0.0873598i | \(0.0278430\pi\) | |||||||
\(548\) | −3.33635 | − | 12.4514i | −0.142522 | − | 0.531899i | ||||
\(549\) | 4.50723 | − | 28.3786i | 0.192364 | − | 1.21117i | ||||
\(550\) | 3.37759 | − | 0.518849i | 0.144021 | − | 0.0221238i | ||||
\(551\) | 2.70635 | + | 1.56251i | 0.115294 | + | 0.0665653i | ||||
\(552\) | −5.50011 | + | 15.5212i | −0.234100 | + | 0.660627i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 10.9971 | 0.467222 | ||||||||
\(555\) | 24.1982 | − | 3.12317i | 1.02715 | − | 0.132571i | ||||
\(556\) | −0.744214 | − | 1.28902i | −0.0315617 | − | 0.0546665i | ||||
\(557\) | −1.97731 | + | 7.37940i | −0.0837811 | + | 0.312675i | −0.995081 | − | 0.0990688i | \(-0.968414\pi\) |
0.911299 | + | 0.411744i | \(0.135080\pi\) | |||||||
\(558\) | 1.08064 | + | 0.481687i | 0.0457469 | + | 0.0203914i | ||||
\(559\) | − | 14.8824i | − | 0.629459i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.35130 | − | 3.98116i | 0.352592 | − | 0.168085i | ||||
\(562\) | −3.47696 | − | 12.9762i | −0.146667 | − | 0.547368i | ||||
\(563\) | 6.32147 | + | 1.69383i | 0.266418 | + | 0.0713866i | 0.389555 | − | 0.921003i | \(-0.372629\pi\) |
−0.123137 | + | 0.992390i | \(0.539295\pi\) | |||||||
\(564\) | −11.2188 | − | 7.71400i | −0.472395 | − | 0.324818i | ||||
\(565\) | 22.5372 | − | 11.4173i | 0.948149 | − | 0.480329i | ||||
\(566\) | − | 9.81251i | − | 0.412450i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.6298 | + | 14.6298i | 0.613855 | + | 0.613855i | ||||
\(569\) | 10.0777 | − | 17.4551i | 0.422481 | − | 0.731758i | −0.573701 | − | 0.819065i | \(-0.694493\pi\) |
0.996181 | + | 0.0873070i | \(0.0278261\pi\) | |||||||
\(570\) | −1.07456 | + | 2.57567i | −0.0450084 | + | 0.107883i | ||||
\(571\) | 8.94741 | + | 15.4974i | 0.374438 | + | 0.648545i | 0.990243 | − | 0.139354i | \(-0.0445025\pi\) |
−0.615805 | + | 0.787898i | \(0.711169\pi\) | |||||||
\(572\) | 1.60241 | − | 0.429364i | 0.0670001 | − | 0.0179526i | ||||
\(573\) | −2.70809 | + | 7.64219i | −0.113132 | + | 0.319257i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.88762 | + | 15.1269i | −0.245531 | + | 0.630835i | ||||
\(576\) | 6.52659 | + | 17.0242i | 0.271941 | + | 0.709342i | ||||
\(577\) | 13.7842 | + | 3.69346i | 0.573844 | + | 0.153761i | 0.534059 | − | 0.845447i | \(-0.320666\pi\) |
0.0397848 | + | 0.999208i | \(0.487333\pi\) | |||||||
\(578\) | 33.4731 | + | 8.96910i | 1.39230 | + | 0.373066i | ||||
\(579\) | 12.4093 | + | 0.979317i | 0.515713 | + | 0.0406990i | ||||
\(580\) | 9.96326 | − | 2.09353i | 0.413702 | − | 0.0869290i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 12.2000 | + | 4.32321i | 0.505707 | + | 0.179203i | ||||
\(583\) | 3.83337 | − | 1.02715i | 0.158762 | − | 0.0425401i | ||||
\(584\) | −23.1081 | − | 40.0243i | −0.956219 | − | 1.65622i | ||||
\(585\) | −10.1440 | − | 9.18444i | −0.419401 | − | 0.379730i | ||||
\(586\) | −6.22385 | + | 10.7800i | −0.257105 | + | 0.445319i | ||||
\(587\) | 3.21441 | + | 3.21441i | 0.132673 | + | 0.132673i | 0.770325 | − | 0.637652i | \(-0.220094\pi\) |
−0.637652 | + | 0.770325i | \(0.720094\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 0.322096i | − | 0.0132717i | ||||||
\(590\) | −1.53348 | − | 3.02702i | −0.0631323 | − | 0.124620i | ||||
\(591\) | −5.29746 | + | 7.70430i | −0.217908 | + | 0.316913i | ||||
\(592\) | 3.13585 | + | 0.840248i | 0.128883 | + | 0.0345340i | ||||
\(593\) | −10.2065 | − | 38.0911i | −0.419130 | − | 1.56421i | −0.776417 | − | 0.630219i | \(-0.782965\pi\) |
0.357287 | − | 0.933995i | \(-0.383702\pi\) | |||||||
\(594\) | −3.45261 | − | 0.831254i | −0.141662 | − | 0.0341068i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 1.45403i | − | 0.0595594i | ||||||
\(597\) | 13.2221 | + | 15.4878i | 0.541143 | + | 0.633873i | ||||
\(598\) | 1.60999 | − | 6.00855i | 0.0658373 | − | 0.245708i | ||||
\(599\) | −22.6620 | − | 39.2518i | −0.925945 | − | 1.60378i | −0.790034 | − | 0.613063i | \(-0.789937\pi\) |
−0.135911 | − | 0.990721i | \(-0.543396\pi\) | |||||||
\(600\) | 8.34926 | + | 23.9476i | 0.340857 | + | 0.977658i | ||||
\(601\) | 10.2265 | 0.417148 | 0.208574 | − | 0.978007i | \(-0.433118\pi\) | ||||
0.208574 | + | 0.978007i | \(0.433118\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 21.3246 | − | 2.23204i | 0.868405 | − | 0.0908955i | ||||
\(604\) | −3.06988 | − | 1.77239i | −0.124912 | − | 0.0721177i | ||||
\(605\) | −17.4356 | + | 15.6258i | −0.708860 | + | 0.635278i | ||||
\(606\) | 7.08172 | + | 4.86937i | 0.287675 | + | 0.197805i | ||||
\(607\) | −9.10857 | − | 33.9936i | −0.369705 | − | 1.37976i | −0.860929 | − | 0.508725i | \(-0.830117\pi\) |
0.491223 | − | 0.871034i | \(-0.336550\pi\) | |||||||
\(608\) | 2.91458 | − | 2.91458i | 0.118202 | − | 0.118202i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.9959 | − | 16.8463i | 0.445213 | − | 0.682086i | ||||
\(611\) | 12.4242 | + | 7.17311i | 0.502629 | + | 0.290193i | ||||
\(612\) | 14.4603 | + | 19.9208i | 0.584521 | + | 0.805253i | ||||
\(613\) | −1.33856 | + | 4.99557i | −0.0540639 | + | 0.201769i | −0.987675 | − | 0.156519i | \(-0.949973\pi\) |
0.933611 | + | 0.358288i | \(0.116639\pi\) | |||||||
\(614\) | −11.0947 | + | 19.2165i | −0.447744 | + | 0.775515i | ||||
\(615\) | −17.0605 | − | 2.29021i | −0.687946 | − | 0.0923501i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 21.2024 | + | 21.2024i | 0.853575 | + | 0.853575i | 0.990572 | − | 0.136996i | \(-0.0437449\pi\) |
−0.136996 | + | 0.990572i | \(0.543745\pi\) | |||||||
\(618\) | −7.67141 | − | 8.98598i | −0.308590 | − | 0.361469i | ||||
\(619\) | −12.7897 | + | 7.38415i | −0.514063 | + | 0.296794i | −0.734502 | − | 0.678606i | \(-0.762584\pi\) |
0.220439 | + | 0.975401i | \(0.429251\pi\) | |||||||
\(620\) | −0.700327 | − | 0.781442i | −0.0281258 | − | 0.0313835i | ||||
\(621\) | 11.6198 | − | 12.2289i | 0.466287 | − | 0.490729i | ||||
\(622\) | 10.3690 | − | 10.3690i | 0.415761 | − | 0.415761i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.783512 | − | 1.64358i | −0.0313656 | − | 0.0657957i | ||||
\(625\) | 7.50370 | + | 23.8473i | 0.300148 | + | 0.953893i | ||||
\(626\) | 13.3199 | − | 7.69022i | 0.532368 | − | 0.307363i | ||||
\(627\) | 0.175981 | + | 0.950648i | 0.00702800 | + | 0.0379652i | ||||
\(628\) | 4.66119 | − | 1.24896i | 0.186002 | − | 0.0498391i | ||||
\(629\) | 46.2478 | 1.84402 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.8644 | −1.38793 | −0.693965 | − | 0.720009i | \(-0.744138\pi\) | ||||
−0.693965 | + | 0.720009i | \(0.744138\pi\) | |||||||
\(632\) | 18.9721 | − | 5.08356i | 0.754670 | − | 0.202213i | ||||
\(633\) | 8.01991 | + | 43.3236i | 0.318763 | + | 1.72196i | ||||
\(634\) | 19.5791 | − | 11.3040i | 0.777583 | − | 0.448938i | ||||
\(635\) | −3.03321 | + | 1.53661i | −0.120369 | + | 0.0609786i | ||||
\(636\) | 4.54379 | + | 9.53153i | 0.180173 | + | 0.377950i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.96860 | + | 1.96860i | −0.0779377 | + | 0.0779377i | ||||
\(639\) | −7.58711 | − | 19.7905i | −0.300141 | − | 0.782901i | ||||
\(640\) | 0.615670 | − | 11.2467i | 0.0243365 | − | 0.444564i | ||||
\(641\) | 31.5849 | − | 18.2355i | 1.24753 | − | 0.720260i | 0.276912 | − | 0.960895i | \(-0.410689\pi\) |
0.970616 | + | 0.240635i | \(0.0773558\pi\) | |||||||
\(642\) | −19.3472 | − | 22.6625i | −0.763571 | − | 0.894416i | ||||
\(643\) | 23.1512 | + | 23.1512i | 0.912995 | + | 0.912995i | 0.996507 | − | 0.0835116i | \(-0.0266136\pi\) |
−0.0835116 | + | 0.996507i | \(0.526614\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 22.4606 | − | 17.1441i | 0.884386 | − | 0.675047i | ||||
\(646\) | −2.64500 | + | 4.58128i | −0.104066 | + | 0.180248i | ||||
\(647\) | 2.76815 | − | 10.3309i | 0.108827 | − | 0.406148i | −0.889924 | − | 0.456109i | \(-0.849243\pi\) |
0.998751 | + | 0.0499604i | \(0.0159095\pi\) | |||||||
\(648\) | 1.40202 | − | 26.3190i | 0.0550765 | − | 1.03391i | ||||
\(649\) | −1.01801 | − | 0.587749i | −0.0399605 | − | 0.0230712i | ||||
\(650\) | −3.85594 | − | 8.77024i | −0.151242 | − | 0.343997i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.55475 | + | 7.55475i | −0.295867 | + | 0.295867i | ||||
\(653\) | −0.194929 | − | 0.727486i | −0.00762817 | − | 0.0284687i | 0.962007 | − | 0.273025i | \(-0.0880243\pi\) |
−0.969635 | + | 0.244557i | \(0.921358\pi\) | |||||||
\(654\) | −8.47341 | − | 5.82630i | −0.331336 | − | 0.227826i | ||||
\(655\) | 16.6327 | + | 18.5591i | 0.649892 | + | 0.725166i | ||||
\(656\) | −1.98355 | − | 1.14520i | −0.0774445 | − | 0.0447126i | ||||
\(657\) | 4.92864 | + | 47.0876i | 0.192284 | + | 1.83706i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.95212 | −0.309771 | −0.154885 | − | 0.987932i | \(-0.549501\pi\) | ||||
−0.154885 | + | 0.987932i | \(0.549501\pi\) | |||||||
\(660\) | 2.49392 | + | 1.92375i | 0.0970758 | + | 0.0748819i | ||||
\(661\) | −11.3090 | − | 19.5878i | −0.439870 | − | 0.761877i | 0.557809 | − | 0.829969i | \(-0.311642\pi\) |
−0.997679 | + | 0.0680919i | \(0.978309\pi\) | |||||||
\(662\) | 2.34383 | − | 8.74731i | 0.0910957 | − | 0.339974i | ||||
\(663\) | −16.8411 | − | 19.7270i | −0.654056 | − | 0.766134i | ||||
\(664\) | − | 7.57926i | − | 0.294132i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −13.7913 | − | 11.1778i | −0.534401 | − | 0.433130i | ||||
\(667\) | −3.42277 | − | 12.7740i | −0.132530 | − | 0.494610i | ||||
\(668\) | −8.43084 | − | 2.25904i | −0.326199 | − | 0.0874048i | ||||
\(669\) | −10.6009 | + | 15.4173i | −0.409854 | + | 0.596066i | ||||
\(670\) | 14.2658 | + | 4.67197i | 0.551134 | + | 0.180494i | ||||
\(671\) | − | 6.96903i | − | 0.269037i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.5657 | + | 19.5657i | 0.754203 | + | 0.754203i | 0.975261 | − | 0.221058i | \(-0.0709509\pi\) |
−0.221058 | + | 0.975261i | \(0.570951\pi\) | |||||||
\(674\) | 1.28033 | − | 2.21760i | 0.0493165 | − | 0.0854187i | ||||
\(675\) | 2.17569 | − | 25.8895i | 0.0837424 | − | 0.996487i | ||||
\(676\) | 4.93958 | + | 8.55560i | 0.189984 | + | 0.329062i | ||||
\(677\) | −41.5349 | + | 11.1292i | −1.59632 | + | 0.427731i | −0.943927 | − | 0.330154i | \(-0.892899\pi\) |
−0.652388 | + | 0.757885i | \(0.726233\pi\) | |||||||
\(678\) | −17.3262 | − | 6.13971i | −0.665408 | − | 0.235794i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 9.88528 | + | 47.0448i | 0.379083 | + | 1.80409i | ||||
\(681\) | −1.39818 | − | 0.110342i | −0.0535784 | − | 0.00422830i | ||||
\(682\) | 0.277171 | + | 0.0742679i | 0.0106134 | + | 0.00284386i | ||||
\(683\) | −40.7282 | − | 10.9131i | −1.55842 | − | 0.417578i | −0.626258 | − | 0.779616i | \(-0.715414\pi\) |
−0.932163 | + | 0.362039i | \(0.882081\pi\) | |||||||
\(684\) | −2.40189 | + | 0.920814i | −0.0918386 | + | 0.0352082i | ||||
\(685\) | −14.0960 | + | 21.5957i | −0.538580 | + | 0.825129i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.36392 | + | 26.4248i | −0.357256 | + | 1.00817i | ||||
\(688\) | 3.63158 | − | 0.973078i | 0.138453 | − | 0.0370982i | ||||
\(689\) | −5.56316 | − | 9.63568i | −0.211940 | − | 0.367090i | ||||
\(690\) | 10.9228 | − | 4.49186i | 0.415824 | − | 0.171002i | ||||
\(691\) | −3.78240 | + | 6.55130i | −0.143889 | + | 0.249223i | −0.928958 | − | 0.370185i | \(-0.879294\pi\) |
0.785069 | + | 0.619409i | \(0.212628\pi\) | |||||||
\(692\) | −10.5740 | − | 10.5740i | −0.401965 | − | 0.401965i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 25.7420i | 0.977151i | ||||||||
\(695\) | −0.926762 | + | 2.82985i | −0.0351541 | + | 0.107342i | ||||
\(696\) | −17.0257 | − | 11.7068i | −0.645356 | − | 0.443745i | ||||
\(697\) | −31.5163 | − | 8.44476i | −1.19376 | − | 0.319868i | ||||
\(698\) | −0.996350 | − | 3.71843i | −0.0377124 | − | 0.140745i | ||||
\(699\) | −20.6788 | + | 9.85782i | −0.782143 | + | 0.372857i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 39.5039i | − | 1.49204i | −0.665923 | − | 0.746020i | \(-0.731962\pi\) | ||
0.665923 | − | 0.746020i | \(-0.268038\pi\) | |||||||
\(702\) | 0.254205 | + | 9.95306i | 0.00959437 | + | 0.375654i | ||||
\(703\) | −1.25084 | + | 4.66820i | −0.0471764 | + | 0.176065i | ||||
\(704\) | 2.21099 | + | 3.82954i | 0.0833298 | + | 0.144331i | ||||
\(705\) | 3.48658 | + | 27.0139i | 0.131312 | + | 1.01740i | ||||
\(706\) | −27.7161 | −1.04311 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 1.04466 | − | 2.94801i | 0.0392607 | − | 0.110793i | ||||
\(709\) | 17.8431 | + | 10.3017i | 0.670112 | + | 0.386889i | 0.796119 | − | 0.605140i | \(-0.206883\pi\) |
−0.126007 | + | 0.992029i | \(0.540216\pi\) | |||||||
\(710\) | 0.811108 | − | 14.8168i | 0.0304403 | − | 0.556066i | ||||
\(711\) | −19.8720 | − | 3.15618i | −0.745258 | − | 0.118366i | ||||
\(712\) | 10.5351 | + | 39.3175i | 0.394819 | + | 1.47349i | ||||
\(713\) | −0.963825 | + | 0.963825i | −0.0360955 | + | 0.0360955i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.77921 | − | 1.81405i | −0.103937 | − | 0.0678417i | ||||
\(716\) | 12.3015 | + | 7.10230i | 0.459730 | + | 0.265425i | ||||
\(717\) | −0.0260984 | − | 0.140984i | −0.000974664 | − | 0.00526513i | ||||
\(718\) | 6.97990 | − | 26.0494i | 0.260488 | − | 0.972153i | ||||
\(719\) | 3.53101 | − | 6.11588i | 0.131684 | − | 0.228084i | −0.792642 | − | 0.609688i | \(-0.791295\pi\) |
0.924326 | + | 0.381604i | \(0.124628\pi\) | |||||||
\(720\) | 1.57791 | − | 3.07583i | 0.0588053 | − | 0.114629i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 12.2287 | + | 12.2287i | 0.455106 | + | 0.455106i | ||||
\(723\) | −19.1252 | + | 16.3273i | −0.711273 | + | 0.607220i | ||||
\(724\) | −9.25377 | + | 5.34267i | −0.343914 | + | 0.198559i | ||||
\(725\) | −16.4219 | − | 12.0484i | −0.609894 | − | 0.447467i | ||||
\(726\) | 16.9821 | + | 1.34019i | 0.630264 | + | 0.0497392i | ||||
\(727\) | 8.73967 | − | 8.73967i | 0.324136 | − | 0.324136i | −0.526215 | − | 0.850351i | \(-0.676389\pi\) |
0.850351 | + | 0.526215i | \(0.176389\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −12.2888 | + | 24.0413i | −0.455140 | + | 0.890420i | ||||
\(730\) | −10.3163 | + | 31.5007i | −0.381825 | + | 1.16589i | ||||
\(731\) | 46.3833 | − | 26.7794i | 1.71555 | − | 0.990472i | ||||
\(732\) | 18.2326 | − | 3.37516i | 0.673897 | − | 0.124750i | ||||
\(733\) | −38.7958 | + | 10.3953i | −1.43296 | + | 0.383959i | −0.890061 | − | 0.455841i | \(-0.849338\pi\) |
−0.542895 | + | 0.839801i | \(0.682672\pi\) | |||||||
\(734\) | 28.8540 | 1.06502 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.4429 | −0.642954 | ||||||||
\(737\) | 5.02300 | − | 1.34591i | 0.185025 | − | 0.0495772i | ||||
\(738\) | 7.35724 | + | 10.1355i | 0.270824 | + | 0.373094i | ||||
\(739\) | −19.1703 | + | 11.0680i | −0.705192 | + | 0.407143i | −0.809278 | − | 0.587426i | \(-0.800141\pi\) |
0.104086 | + | 0.994568i | \(0.466808\pi\) | |||||||
\(740\) | 7.11529 | + | 14.0453i | 0.261563 | + | 0.516315i | ||||
\(741\) | 2.44672 | − | 1.16638i | 0.0898825 | − | 0.0428481i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 24.6420 | − | 24.6420i | 0.904028 | − | 0.904028i | −0.0917535 | − | 0.995782i | \(-0.529247\pi\) |
0.995782 | + | 0.0917535i | \(0.0292472\pi\) | |||||||
\(744\) | −0.167546 | + | 2.12304i | −0.00614254 | + | 0.0778344i | ||||
\(745\) | −2.16628 | + | 1.94141i | −0.0793662 | + | 0.0711278i | ||||
\(746\) | −19.7811 | + | 11.4206i | −0.724237 | + | 0.418139i | ||||
\(747\) | −3.16110 | + | 7.09174i | −0.115659 | + | 0.259473i | ||||
\(748\) | 4.22155 | + | 4.22155i | 0.154355 | + | 0.154355i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 8.79417 | − | 15.9224i | 0.321118 | − | 0.581405i | ||||
\(751\) | −8.99819 | + | 15.5853i | −0.328349 | + | 0.568717i | −0.982184 | − | 0.187920i | \(-0.939825\pi\) |
0.653836 | + | 0.756637i | \(0.273159\pi\) | |||||||
\(752\) | −0.938019 | + | 3.50073i | −0.0342060 | + | 0.127659i | ||||
\(753\) | 27.9438 | − | 5.17286i | 1.01833 | − | 0.188510i | ||||
\(754\) | 6.75957 | + | 3.90264i | 0.246169 | + | 0.142126i | ||||
\(755\) | 1.45829 | + | 6.94012i | 0.0530726 | + | 0.252577i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.1895 | − | 22.1895i | 0.806492 | − | 0.806492i | −0.177609 | − | 0.984101i | \(-0.556836\pi\) |
0.984101 | + | 0.177609i | \(0.0568362\pi\) | |||||||
\(758\) | −2.05614 | − | 7.67364i | −0.0746825 | − | 0.278719i | ||||
\(759\) | 2.31808 | − | 3.37127i | 0.0841409 | − | 0.122369i | ||||
\(760\) | −5.01602 | − | 0.274589i | −0.181950 | − | 0.00996037i | ||||
\(761\) | −19.5072 | − | 11.2625i | −0.707135 | − | 0.408265i | 0.102864 | − | 0.994695i | \(-0.467199\pi\) |
−0.809999 | + | 0.586431i | \(0.800533\pi\) | |||||||
\(762\) | 2.33187 | + | 0.826322i | 0.0844746 | + | 0.0299345i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −5.23203 | −0.189288 | ||||||||
\(765\) | 10.3717 | − | 48.1417i | 0.374989 | − | 1.74057i | ||||
\(766\) | 4.79077 | + | 8.29786i | 0.173098 | + | 0.299814i | ||||
\(767\) | −0.852970 | + | 3.18333i | −0.0307990 | + | 0.114943i | ||||
\(768\) | −22.2445 | + | 18.9904i | −0.802680 | + | 0.685255i | ||||
\(769\) | 26.8027i | 0.966531i | 0.875474 | + | 0.483265i | \(0.160549\pi\) | ||||
−0.875474 | + | 0.483265i | \(0.839451\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.02728 | + | 2.15494i | 0.0369967 | + | 0.0776082i | ||||
\(772\) | 2.07901 | + | 7.75899i | 0.0748253 | + | 0.279252i | ||||
\(773\) | −23.2480 | − | 6.22929i | −0.836174 | − | 0.224052i | −0.184768 | − | 0.982782i | \(-0.559153\pi\) |
−0.651405 | + | 0.758730i | \(0.725820\pi\) | |||||||
\(774\) | −20.3041 | − | 3.22480i | −0.729815 | − | 0.115913i | ||||
\(775\) | −0.229154 | + | 2.08675i | −0.00823145 | + | 0.0749583i | ||||
\(776\) | 23.2981i | 0.836355i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −11.0666 | − | 11.0666i | −0.396758 | − | 0.396758i | ||||
\(779\) | 1.70481 | − | 2.95282i | 0.0610812 | − | 0.105796i | ||||
\(780\) | 3.39999 | − | 8.14963i | 0.121739 | − | 0.291803i | ||||
\(781\) | −2.57026 | − | 4.45182i | −0.0919711 | − | 0.159299i | ||||
\(782\) | 21.6236 | − | 5.79402i | 0.773258 | − | 0.207194i | ||||
\(783\) | 11.0479 | + | 18.0547i | 0.394821 | + | 0.645224i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.08435 | − | 5.27683i | −0.288543 | − | 0.188338i | ||||
\(786\) | 1.42655 | − | 18.0764i | 0.0508834 | − | 0.644762i | ||||
\(787\) | 25.6646 | + | 6.87680i | 0.914844 | + | 0.245132i | 0.685380 | − | 0.728186i | \(-0.259636\pi\) |
0.229464 | + | 0.973317i | \(0.426303\pi\) | |||||||
\(788\) | −5.82792 | − | 1.56159i | −0.207611 | − | 0.0556292i | ||||
\(789\) | −2.69893 | + | 34.1992i | −0.0960845 | + | 1.21752i | ||||
\(790\) | −11.7966 | − | 7.69988i | −0.419703 | − | 0.273949i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −0.665444 | − | 6.35757i | −0.0236455 | − | 0.225906i | ||||
\(793\) | −18.8726 | + | 5.05690i | −0.670186 | + | 0.179576i | ||||
\(794\) | 4.48918 | + | 7.77549i | 0.159315 | + | 0.275942i | ||||
\(795\) | 8.13363 | − | 19.4960i | 0.288470 | − | 0.691450i | ||||
\(796\) | −6.57053 | + | 11.3805i | −0.232886 | + | 0.403371i | ||||
\(797\) | 19.6457 | + | 19.6457i | 0.695888 | + | 0.695888i | 0.963521 | − | 0.267633i | \(-0.0862415\pi\) |
−0.267633 | + | 0.963521i | \(0.586241\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 51.6292i | 1.82651i | ||||||||
\(800\) | −20.9561 | + | 16.8090i | −0.740911 | + | 0.594288i | ||||
\(801\) | 6.54081 | − | 41.1824i | 0.231108 | − | 1.45511i | ||||
\(802\) | 18.0166 | + | 4.82754i | 0.636189 | + | 0.170466i | ||||
\(803\) | 2.97195 | + | 11.0915i | 0.104878 | + | 0.391410i | ||||
\(804\) | 5.95390 | + | 12.4895i | 0.209978 | + | 0.440472i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 0.804489i | − | 0.0283369i | ||||||
\(807\) | −2.20052 | + | 1.87860i | −0.0774618 | + | 0.0661298i | ||||
\(808\) | −4.00387 | + | 14.9426i | −0.140855 | + | 0.525680i | ||||
\(809\) | 19.2730 | + | 33.3818i | 0.677603 | + | 1.17364i | 0.975701 | + | 0.219107i | \(0.0703144\pi\) |
−0.298098 | + | 0.954535i | \(0.596352\pi\) | |||||||
\(810\) | −14.7284 | + | 11.8493i | −0.517502 | + | 0.416341i | ||||
\(811\) | −26.0551 | −0.914919 | −0.457460 | − | 0.889230i | \(-0.651241\pi\) | ||||
−0.457460 | + | 0.889230i | \(0.651241\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.11170 | + | 0.748305i | 0.0740607 | + | 0.0262442i | ||||
\(814\) | −3.72869 | − | 2.15276i | −0.130690 | − | 0.0754542i | ||||
\(815\) | 21.3424 | + | 1.16833i | 0.747593 | + | 0.0409250i | ||||
\(816\) | 3.71260 | − | 5.39938i | 0.129967 | − | 0.189016i | ||||
\(817\) | 1.44858 | + | 5.40617i | 0.0506794 | + | 0.189138i | ||||
\(818\) | 17.4334 | − | 17.4334i | 0.609544 | − | 0.609544i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.28419 | − | 10.8706i | −0.0797672 | − | 0.379618i | ||||
\(821\) | 11.8022 | + | 6.81400i | 0.411899 | + | 0.237810i | 0.691605 | − | 0.722276i | \(-0.256904\pi\) |
−0.279706 | + | 0.960086i | \(0.590237\pi\) | |||||||
\(822\) | 18.4502 | − | 3.41543i | 0.643524 | − | 0.119127i | ||||
\(823\) | 8.18923 | − | 30.5626i | 0.285459 | − | 1.06535i | −0.663045 | − | 0.748580i | \(-0.730736\pi\) |
0.948504 | − | 0.316766i | \(-0.102597\pi\) | |||||||
\(824\) | 10.6337 | − | 18.4181i | 0.370443 | − | 0.641625i | ||||
\(825\) | −0.463785 | − | 6.28413i | −0.0161469 | − | 0.218785i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −0.690034 | − | 0.690034i | −0.0239948 | − | 0.0239948i | 0.695008 | − | 0.719002i | \(-0.255401\pi\) |
−0.719002 | + | 0.695008i | \(0.755401\pi\) | |||||||
\(828\) | 9.94271 | + | 4.43190i | 0.345533 | + | 0.154019i | ||||
\(829\) | −12.2802 | + | 7.08996i | −0.426508 | + | 0.246244i | −0.697858 | − | 0.716236i | \(-0.745863\pi\) |
0.271350 | + | 0.962481i | \(0.412530\pi\) | |||||||
\(830\) | −4.04817 | + | 3.62796i | −0.140514 | + | 0.125928i | ||||
\(831\) | 1.59536 | − | 20.2155i | 0.0553426 | − | 0.701266i | ||||
\(832\) | 8.76631 | − | 8.76631i | 0.303917 | − | 0.303917i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 1.95570 | − | 0.932305i | 0.0677203 | − | 0.0322831i | ||||
\(835\) | 7.89119 | + | 15.5769i | 0.273086 | + | 0.539060i | ||||
\(836\) | −0.540298 | + | 0.311941i | −0.0186866 | + | 0.0107887i | ||||
\(837\) | 1.04223 | − | 1.91660i | 0.0360248 | − | 0.0662474i | ||||
\(838\) | 21.7110 | − | 5.81746i | 0.749996 | − | 0.200961i | ||||
\(839\) | −57.1107 | −1.97168 | −0.985840 | − | 0.167690i | \(-0.946369\pi\) | ||||
−0.985840 | + | 0.167690i | \(0.946369\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.4063 | −0.427803 | ||||||||
\(842\) | 8.97709 | − | 2.40540i | 0.309371 | − | 0.0828957i | ||||
\(843\) | −24.3580 | + | 4.50906i | −0.838933 | + | 0.155300i | ||||
\(844\) | −24.6228 | + | 14.2160i | −0.847552 | + | 0.489334i | ||||
\(845\) | 6.15120 | − | 18.7826i | 0.211608 | − | 0.646140i | ||||
\(846\) | 12.4784 | − | 15.3960i | 0.429017 | − | 0.529326i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.98753 | − | 1.98753i | 0.0682522 | − | 0.0682522i | ||||
\(849\) | −18.0379 | − | 1.42351i | −0.619058 | − | 0.0488549i | ||||
\(850\) | 20.3954 | − | 27.7988i | 0.699556 | − | 0.953490i | ||||
\(851\) | 17.7119 | − | 10.2260i | 0.607155 | − | 0.350541i | ||||
\(852\) | 10.4022 | − | 8.88045i | 0.356374 | − | 0.304239i | ||||
\(853\) | 27.4480 | + | 27.4480i | 0.939802 | + | 0.939802i | 0.998288 | − | 0.0584858i | \(-0.0186272\pi\) |
−0.0584858 | + | 0.998288i | \(0.518627\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.57885 | + | 2.34897i | 0.156593 | + | 0.0803331i | ||||
\(856\) | 26.8180 | − | 46.4501i | 0.916620 | − | 1.58763i | ||||
\(857\) | −4.45470 | + | 16.6252i | −0.152170 | + | 0.567905i | 0.847162 | + | 0.531335i | \(0.178310\pi\) |
−0.999331 | + | 0.0365692i | \(0.988357\pi\) | |||||||
\(858\) | 0.439542 | + | 2.37440i | 0.0150057 | + | 0.0810608i | ||||
\(859\) | −14.8376 | − | 8.56649i | −0.506252 | − | 0.292285i | 0.225040 | − | 0.974350i | \(-0.427749\pi\) |
−0.731292 | + | 0.682065i | \(0.761082\pi\) | |||||||
\(860\) | 15.2689 | + | 9.96638i | 0.520667 | + | 0.339851i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.3260 | + | 21.3260i | −0.726367 | + | 0.726367i | ||||
\(863\) | −3.92508 | − | 14.6486i | −0.133611 | − | 0.498644i | 0.866388 | − | 0.499371i | \(-0.166435\pi\) |
−1.00000 | 0.000726566i | \(0.999769\pi\) | ||||||||
\(864\) | 26.7738 | − | 7.91199i | 0.910865 | − | 0.269171i | ||||
\(865\) | −1.63526 | + | 29.8720i | −0.0556006 | + | 1.01568i | ||||
\(866\) | 15.5662 | + | 8.98713i | 0.528960 | + | 0.305395i | ||||
\(867\) | 21.3435 | − | 60.2309i | 0.724862 | − | 2.04555i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.88005 | −0.165544 | ||||||||
\(870\) | 1.89693 | + | 14.6973i | 0.0643118 | + | 0.498285i | ||||
\(871\) | −7.28962 | − | 12.6260i | −0.246999 | − | 0.427816i | ||||
\(872\) | 4.79070 | − | 17.8791i | 0.162234 | − | 0.605464i | ||||
\(873\) | 9.71702 | − | 21.7995i | 0.328871 | − | 0.737803i | ||||
\(874\) | 2.33937i | 0.0791304i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −27.5786 | + | 13.1470i | −0.931793 | + | 0.444197i | ||||
\(877\) | −1.59460 | − | 5.95111i | −0.0538456 | − | 0.200955i | 0.933763 | − | 0.357892i | \(-0.116505\pi\) |
−0.987609 | + | 0.156938i | \(0.949838\pi\) | |||||||
\(878\) | −30.8527 | − | 8.26695i | −1.04123 | − | 0.278996i | ||||
\(879\) | 18.9135 | + | 13.0049i | 0.637937 | + | 0.438644i | ||||
\(880\) | 0.260944 | − | 0.796788i | 0.00879643 | − | 0.0268597i | ||||
\(881\) | 22.1697i | 0.746915i | 0.927647 | + | 0.373457i | \(0.121828\pi\) | ||||
−0.927647 | + | 0.373457i | \(0.878172\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.3373 | + | 18.3373i | 0.617098 | + | 0.617098i | 0.944786 | − | 0.327688i | \(-0.106269\pi\) |
−0.327688 | + | 0.944786i | \(0.606269\pi\) | |||||||
\(884\) | 8.36898 | − | 14.4955i | 0.281479 | − | 0.487536i | ||||
\(885\) | −5.78689 | + | 2.37979i | −0.194524 | + | 0.0799956i | ||||
\(886\) | 12.5074 | + | 21.6635i | 0.420194 | + | 0.727798i | ||||
\(887\) | −8.79908 | + | 2.35771i | −0.295444 | + | 0.0791641i | −0.403497 | − | 0.914981i | \(-0.632205\pi\) |
0.108052 | + | 0.994145i | \(0.465539\pi\) | |||||||
\(888\) | 10.6730 | − | 30.1190i | 0.358162 | − | 1.01073i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 15.9571 | − | 24.4470i | 0.534883 | − | 0.819465i | ||||
\(891\) | −2.02893 | + | 6.22617i | −0.0679717 | + | 0.208585i | ||||
\(892\) | −11.6624 | − | 3.12493i | −0.390486 | − | 0.104630i | ||||
\(893\) | −5.21139 | − | 1.39639i | −0.174393 | − | 0.0467284i | ||||
\(894\) | 2.10992 | + | 0.166511i | 0.0705664 | + | 0.00556896i | ||||
\(895\) | −5.84363 | − | 27.8103i | −0.195331 | − | 0.929595i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −10.8117 | − | 3.83123i | −0.360991 | − | 0.127921i | ||||
\(898\) | −12.2548 | + | 3.28367i | −0.408949 | + | 0.109577i | ||||
\(899\) | −0.855156 | − | 1.48117i | −0.0285211 | − | 0.0493999i | ||||
\(900\) | 16.2161 | − | 4.25683i | 0.540538 | − | 0.141894i | ||||
\(901\) | 20.0207 | − | 34.6769i | 0.666986 | − | 1.15525i | ||||
\(902\) | 2.14788 | + | 2.14788i | 0.0715167 | + | 0.0715167i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 33.0875i | − | 1.10047i | ||||||
\(905\) | 20.3153 | + | 6.65316i | 0.675303 | + | 0.221159i | ||||
\(906\) | 2.92345 | − | 4.25169i | 0.0971251 | − | 0.141253i | ||||
\(907\) | −41.1437 | − | 11.0244i | −1.36615 | − | 0.366060i | −0.500081 | − | 0.865979i | \(-0.666696\pi\) |
−0.866072 | + | 0.499919i | \(0.833363\pi\) | |||||||
\(908\) | −0.234247 | − | 0.874221i | −0.00777376 | − | 0.0290121i | ||||
\(909\) | 9.97849 | − | 12.3116i | 0.330966 | − | 0.408349i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.4223i | 0.610358i | 0.952295 | + | 0.305179i | \(0.0987163\pi\) | ||||
−0.952295 | + | 0.305179i | \(0.901284\pi\) | |||||||
\(912\) | 0.444595 | + | 0.520781i | 0.0147220 | + | 0.0172448i | ||||
\(913\) | −0.487388 | + | 1.81896i | −0.0161302 | + | 0.0601987i | ||||
\(914\) | −6.16685 | − | 10.6813i | −0.203981 | − | 0.353306i | ||||
\(915\) | −29.3725 | − | 22.6572i | −0.971026 | − | 0.749025i | ||||
\(916\) | −18.0911 | −0.597746 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −30.5628 | + | 18.7018i | −1.00872 | + | 0.617251i | ||||
\(919\) | 10.2581 | + | 5.92250i | 0.338382 | + | 0.195365i | 0.659556 | − | 0.751655i | \(-0.270744\pi\) |
−0.321174 | + | 0.947020i | \(0.604077\pi\) | |||||||
\(920\) | 14.1880 | + | 15.8314i | 0.467766 | + | 0.521945i | ||||
\(921\) | 33.7153 | + | 23.1825i | 1.11096 | + | 0.763891i | ||||
\(922\) | 0.978197 | + | 3.65068i | 0.0322152 | + | 0.120229i | ||||
\(923\) | −10.1908 | + | 10.1908i | −0.335433 | + | 0.335433i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.4250 | − | 29.3538i | 0.375650 | − | 0.965147i | ||||
\(926\) | 14.0451 | + | 8.10897i | 0.461552 | + | 0.266477i | ||||
\(927\) | −17.6314 | + | 12.7984i | −0.579091 | + | 0.420354i | ||||
\(928\) | 5.66470 | − | 21.1410i | 0.185953 | − | 0.693986i | ||||
\(929\) | −7.93709 | + | 13.7474i | −0.260407 | + | 0.451039i | −0.966350 | − | 0.257230i | \(-0.917190\pi\) |
0.705943 | + | 0.708269i | \(0.250524\pi\) | |||||||
\(930\) | 1.21414 | − | 0.926746i | 0.0398132 | − | 0.0303892i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −10.4531 | − | 10.4531i | −0.342401 | − | 0.342401i | ||||
\(933\) | −17.5567 | − | 20.5652i | −0.574779 | − | 0.673273i | ||||
\(934\) | −24.5358 | + | 14.1658i | −0.802836 | + | 0.463518i | ||||
\(935\) | 0.652859 | − | 11.9260i | 0.0213508 | − | 0.390023i | ||||
\(936\) | −16.7339 | + | 6.41527i | −0.546963 | + | 0.209690i | ||||
\(937\) | 12.9594 | − | 12.9594i | 0.423365 | − | 0.423365i | −0.462996 | − | 0.886360i | \(-0.653226\pi\) |
0.886360 | + | 0.462996i | \(0.153226\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.2042 | − | 25.6009i | −0.398270 | − | 0.835453i | ||||
\(940\) | −15.6796 | + | 7.94322i | −0.511412 | + | 0.259079i | ||||
\(941\) | −40.5338 | + | 23.4022i | −1.32136 | + | 0.762890i | −0.983946 | − | 0.178464i | \(-0.942887\pi\) |
−0.337418 | + | 0.941355i | \(0.609554\pi\) | |||||||
\(942\) | 1.27857 | + | 6.90682i | 0.0416580 | + | 0.225036i | ||||
\(943\) | −13.9373 | + | 3.73448i | −0.453860 | + | 0.121612i | ||||
\(944\) | −0.832560 | −0.0270975 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.98615 | −0.162114 | ||||||||
\(947\) | 5.52955 | − | 1.48164i | 0.179686 | − | 0.0481468i | −0.167854 | − | 0.985812i | \(-0.553684\pi\) |
0.347540 | + | 0.937665i | \(0.387017\pi\) | |||||||
\(948\) | −2.36345 | − | 12.7673i | −0.0767612 | − | 0.414664i | ||||
\(949\) | 27.8799 | − | 16.0965i | 0.905020 | − | 0.522514i | ||||
\(950\) | 2.25435 | + | 2.81055i | 0.0731409 | + | 0.0911863i | ||||
\(951\) | −17.9392 | − | 37.6311i | −0.581718 | − | 1.22027i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.51927 | + | 2.51927i | −0.0816072 | + | 0.0816072i | −0.746732 | − | 0.665125i | \(-0.768378\pi\) |
0.665125 | + | 0.746732i | \(0.268378\pi\) | |||||||
\(954\) | −14.3514 | + | 5.50191i | −0.464644 | + | 0.178131i | ||||
\(955\) | 6.98577 | + | 7.79489i | 0.226054 | + | 0.252237i | ||||
\(956\) | 0.0801276 | − | 0.0462617i | 0.00259151 | − | 0.00149621i | ||||
\(957\) | 3.33320 | + | 3.90438i | 0.107747 | + | 0.126211i | ||||
\(958\) | −8.61268 | − | 8.61268i | −0.278263 | − | 0.278263i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 23.3287 | + | 3.13165i | 0.752930 | + | 0.101074i | ||||
\(961\) | 15.4119 | − | 26.6941i | 0.497157 | − | 0.861101i | ||||
\(962\) | −3.12419 | + | 11.6596i | −0.100728 | + | 0.375921i | ||||
\(963\) | −44.4661 | + | 32.2773i | −1.43290 | + | 1.04012i | ||||
\(964\) | −14.0532 | − | 8.11364i | −0.452625 | − | 0.261323i | ||||
\(965\) | 8.78377 | − | 13.4571i | 0.282760 | − | 0.433201i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.0826 | − | 37.0826i | 1.19250 | − | 1.19250i | 0.216132 | − | 0.976364i | \(-0.430656\pi\) |
0.976364 | − | 0.216132i | \(-0.0693443\pi\) | |||||||
\(968\) | 7.93615 | + | 29.6181i | 0.255077 | + | 0.951962i | ||||
\(969\) | 8.03783 | + | 5.52679i | 0.258212 | + | 0.177546i | ||||
\(970\) | 12.4438 | − | 11.1521i | 0.399547 | − | 0.358073i | ||||
\(971\) | 28.9850 | + | 16.7345i | 0.930174 | + | 0.537036i | 0.886867 | − | 0.462025i | \(-0.152877\pi\) |
0.0433076 | + | 0.999062i | \(0.486210\pi\) | |||||||
\(972\) | −17.2718 | − | 2.29276i | −0.553992 | − | 0.0735404i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −27.4165 | −0.878480 | ||||||||
\(975\) | −16.6813 | + | 5.81587i | −0.534229 | + | 0.186257i | ||||
\(976\) | −2.46795 | − | 4.27461i | −0.0789971 | − | 0.136827i | ||||
\(977\) | −8.21340 | + | 30.6528i | −0.262770 | + | 0.980671i | 0.700831 | + | 0.713327i | \(0.252813\pi\) |
−0.963601 | + | 0.267344i | \(0.913854\pi\) | |||||||
\(978\) | −10.0974 | − | 11.8277i | −0.322881 | − | 0.378209i | ||||
\(979\) | − | 10.1133i | − | 0.323223i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.9394 | + | 14.7310i | −0.381197 | + | 0.470326i | ||||
\(982\) | 4.20955 | + | 15.7102i | 0.134332 | + | 0.501334i | ||||
\(983\) | −18.3689 | − | 4.92194i | −0.585877 | − | 0.156985i | −0.0463090 | − | 0.998927i | \(-0.514746\pi\) |
−0.539568 | + | 0.841942i | \(0.681413\pi\) | |||||||
\(984\) | −12.7729 | + | 18.5762i | −0.407187 | + | 0.592188i | ||||
\(985\) | 5.45488 | + | 10.7677i | 0.173807 | + | 0.343087i | ||||
\(986\) | 28.0896i | 0.894556i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.23681 | + | 1.23681i | 0.0393481 | + | 0.0393481i | ||||
\(989\) | 11.8425 | − | 20.5118i | 0.376570 | − | 0.652239i | ||||
\(990\) | −3.07712 | + | 3.39860i | −0.0977974 | + | 0.108014i | ||||
\(991\) | −26.0658 | − | 45.1472i | −0.828007 | − | 1.43415i | −0.899600 | − | 0.436716i | \(-0.856142\pi\) |
0.0715929 | − | 0.997434i | \(-0.477192\pi\) | |||||||
\(992\) | −2.17900 | + | 0.583860i | −0.0691832 | + | 0.0185376i | ||||
\(993\) | −15.7397 | − | 5.57754i | −0.499486 | − | 0.176998i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 25.7280 | − | 5.40610i | 0.815634 | − | 0.171385i | ||||
\(996\) | −4.99487 | − | 0.394185i | −0.158268 | − | 0.0124902i | ||||
\(997\) | 16.3803 | + | 4.38908i | 0.518768 | + | 0.139003i | 0.508697 | − | 0.860946i | \(-0.330128\pi\) |
0.0100712 | + | 0.999949i | \(0.496794\pi\) | |||||||
\(998\) | 15.2764 | + | 4.09329i | 0.483565 | + | 0.129571i | ||||
\(999\) | −22.5483 | + | 23.7302i | −0.713396 | + | 0.750792i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))