Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 297) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 757.1 | ||
Character | \(\chi\) | \(=\) | 891.757 |
Dual form | 891.2.n.f.379.1 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.79145 | + | 0.380785i | −1.26675 | + | 0.269256i | −0.791812 | − | 0.610765i | \(-0.790862\pi\) |
−0.474936 | + | 0.880020i | \(0.657529\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.23721 | − | 0.550844i | 0.618607 | − | 0.275422i | ||||
\(5\) | 1.63692 | + | 0.347939i | 0.732054 | + | 0.155603i | 0.558833 | − | 0.829280i | \(-0.311249\pi\) |
0.173221 | + | 0.984883i | \(0.444583\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.432236 | + | 4.11245i | −0.163370 | + | 1.55436i | 0.538850 | + | 0.842402i | \(0.318859\pi\) |
−0.702220 | + | 0.711960i | \(0.747808\pi\) | |||||||
\(8\) | 0.956730 | − | 0.695105i | 0.338255 | − | 0.245757i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.06496 | −0.969225 | ||||||||
\(11\) | −1.92634 | − | 2.69985i | −0.580813 | − | 0.814037i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.54177 | − | 3.93353i | −0.982310 | − | 1.09097i | −0.995846 | − | 0.0910570i | \(-0.970975\pi\) |
0.0135361 | − | 0.999908i | \(-0.495691\pi\) | |||||||
\(14\) | −0.791630 | − | 7.53186i | −0.211572 | − | 2.01297i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.26166 | + | 3.62244i | −0.815414 | + | 0.905610i | ||||
\(17\) | −1.79348 | − | 5.51975i | −0.434982 | − | 1.33874i | −0.893105 | − | 0.449848i | \(-0.851478\pi\) |
0.458124 | − | 0.888889i | \(-0.348522\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.756141 | + | 0.549369i | −0.173471 | + | 0.126034i | −0.671133 | − | 0.741337i | \(-0.734192\pi\) |
0.497662 | + | 0.867371i | \(0.334192\pi\) | |||||||
\(20\) | 2.21688 | − | 0.471213i | 0.495710 | − | 0.105367i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.47901 | + | 4.10314i | 0.954928 | + | 0.874793i | ||||
\(23\) | −0.505016 | + | 0.874713i | −0.105303 | + | 0.182390i | −0.913862 | − | 0.406025i | \(-0.866915\pi\) |
0.808559 | + | 0.588415i | \(0.200248\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.00927 | − | 0.894586i | −0.401855 | − | 0.178917i | ||||
\(26\) | 7.84274 | + | 5.69808i | 1.53809 | + | 1.11749i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.73055 | + | 5.32608i | 0.327043 | + | 1.00654i | ||||
\(29\) | 0.437181 | − | 4.15950i | 0.0811825 | − | 0.772400i | −0.875882 | − | 0.482525i | \(-0.839720\pi\) |
0.957065 | − | 0.289875i | \(-0.0936136\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.863415 | + | 0.958919i | 0.155074 | + | 0.172227i | 0.815676 | − | 0.578510i | \(-0.196365\pi\) |
−0.660602 | + | 0.750737i | \(0.729699\pi\) | |||||||
\(32\) | 3.28115 | − | 5.68312i | 0.580031 | − | 1.00464i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.31477 | + | 9.20544i | 0.911475 | + | 1.57872i | ||||
\(35\) | −2.13842 | + | 6.58138i | −0.361459 | + | 1.11246i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.02034 | + | 5.82712i | 1.31854 | + | 0.957972i | 0.999949 | + | 0.0100784i | \(0.00320810\pi\) |
0.318586 | + | 0.947894i | \(0.396792\pi\) | |||||||
\(38\) | 1.14540 | − | 1.27210i | 0.185808 | − | 0.206361i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.80795 | − | 0.804949i | 0.285861 | − | 0.127274i | ||||
\(41\) | −0.145580 | − | 1.38510i | −0.0227358 | − | 0.216317i | −0.999991 | − | 0.00424999i | \(-0.998647\pi\) |
0.977255 | − | 0.212067i | \(-0.0680195\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.77814 | − | 6.54393i | −0.576161 | − | 0.997940i | −0.995914 | − | 0.0903017i | \(-0.971217\pi\) |
0.419754 | − | 0.907638i | \(-0.362116\pi\) | |||||||
\(44\) | −3.87049 | − | 2.27919i | −0.583499 | − | 0.343601i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.571634 | − | 1.75931i | 0.0842829 | − | 0.259396i | ||||
\(47\) | −5.38826 | − | 2.39901i | −0.785958 | − | 0.349931i | −0.0257983 | − | 0.999667i | \(-0.508213\pi\) |
−0.760160 | + | 0.649736i | \(0.774879\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −9.87841 | − | 2.09972i | −1.41120 | − | 0.299960i | ||||
\(50\) | 3.94016 | + | 0.837508i | 0.557223 | + | 0.118441i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.54869 | − | 2.91566i | −0.908140 | − | 0.404330i | ||||
\(53\) | −0.303205 | + | 0.933170i | −0.0416485 | + | 0.128181i | −0.969719 | − | 0.244224i | \(-0.921467\pi\) |
0.928070 | + | 0.372405i | \(0.121467\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.21389 | − | 5.08970i | −0.298520 | − | 0.686295i | ||||
\(56\) | 2.44505 | + | 4.23496i | 0.326734 | + | 0.565920i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.800686 | + | 7.61802i | 0.105135 | + | 1.00030i | ||||
\(59\) | −4.05985 | + | 1.80756i | −0.528548 | + | 0.235325i | −0.653620 | − | 0.756823i | \(-0.726750\pi\) |
0.125072 | + | 0.992148i | \(0.460084\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.41150 | − | 8.23130i | 0.948945 | − | 1.05391i | −0.0495336 | − | 0.998772i | \(-0.515774\pi\) |
0.998479 | − | 0.0551379i | \(-0.0175598\pi\) | |||||||
\(62\) | −1.91191 | − | 1.38908i | −0.242813 | − | 0.176414i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.701393 | + | 2.15867i | −0.0876742 | + | 0.269833i | ||||
\(65\) | −4.42897 | − | 7.67120i | −0.549346 | − | 0.951496i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.37586 | + | 2.38307i | −0.168089 | + | 0.291138i | −0.937748 | − | 0.347317i | \(-0.887093\pi\) |
0.769659 | + | 0.638455i | \(0.220426\pi\) | |||||||
\(68\) | −5.25943 | − | 5.84119i | −0.637800 | − | 0.708349i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.32479 | − | 12.6045i | 0.158342 | − | 1.50653i | ||||
\(71\) | −2.76800 | − | 8.51901i | −0.328501 | − | 1.01102i | −0.969836 | − | 0.243760i | \(-0.921619\pi\) |
0.641335 | − | 0.767261i | \(-0.278381\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.56397 | − | 6.94863i | −1.11938 | − | 0.813275i | −0.135263 | − | 0.990810i | \(-0.543188\pi\) |
−0.984115 | + | 0.177534i | \(0.943188\pi\) | |||||||
\(74\) | −16.5869 | − | 7.38498i | −1.92819 | − | 0.858487i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.632893 | + | 1.09620i | −0.0725978 | + | 0.125743i | ||||
\(77\) | 11.9357 | − | 6.75501i | 1.36019 | − | 0.769805i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.8992 | − | 2.31669i | 1.22625 | − | 0.260649i | 0.451131 | − | 0.892458i | \(-0.351021\pi\) |
0.775124 | + | 0.631809i | \(0.217687\pi\) | |||||||
\(80\) | −6.59947 | + | 4.79479i | −0.737843 | + | 0.536074i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.788227 | + | 2.42591i | 0.0870451 | + | 0.267897i | ||||
\(83\) | −9.51417 | + | 10.5666i | −1.04432 | + | 1.15983i | −0.0574403 | + | 0.998349i | \(0.518294\pi\) |
−0.986876 | + | 0.161482i | \(0.948373\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.01525 | − | 9.65942i | −0.110119 | − | 1.04771i | ||||
\(86\) | 9.26019 | + | 10.2845i | 0.998552 | + | 1.10900i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.71967 | − | 1.24402i | −0.396518 | − | 0.132613i | ||||
\(89\) | 7.12753 | 0.755517 | 0.377758 | − | 0.925904i | \(-0.376695\pi\) | ||||
0.377758 | + | 0.925904i | \(0.376695\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 17.7073 | − | 12.8651i | 1.85623 | − | 1.34863i | ||||
\(92\) | −0.142983 | + | 1.36039i | −0.0149070 | + | 0.141831i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.5663 | + | 2.24594i | 1.08983 | + | 0.231651i | ||||
\(95\) | −1.42889 | + | 0.636184i | −0.146601 | + | 0.0652711i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.42861 | − | 0.728774i | 0.348123 | − | 0.0739958i | −0.0305318 | − | 0.999534i | \(-0.509720\pi\) |
0.378655 | + | 0.925538i | \(0.376387\pi\) | |||||||
\(98\) | 18.4963 | 1.86840 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.97868 | −0.297868 | ||||||||
\(101\) | 15.1392 | − | 3.21794i | 1.50641 | − | 0.320197i | 0.620554 | − | 0.784164i | \(-0.286908\pi\) |
0.885852 | + | 0.463967i | \(0.153574\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.700591 | + | 0.311923i | −0.0690313 | + | 0.0307347i | −0.440962 | − | 0.897526i | \(-0.645363\pi\) |
0.371931 | + | 0.928261i | \(0.378696\pi\) | |||||||
\(104\) | −6.12273 | − | 1.30143i | −0.600383 | − | 0.127615i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.187841 | − | 1.78719i | 0.0182447 | − | 0.173587i | ||||
\(107\) | 1.45829 | − | 1.05951i | 0.140978 | − | 0.102427i | −0.515061 | − | 0.857154i | \(-0.672231\pi\) |
0.656039 | + | 0.754727i | \(0.272231\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.7233 | −1.50602 | −0.753009 | − | 0.658010i | \(-0.771399\pi\) | ||||
−0.753009 | + | 0.658010i | \(0.771399\pi\) | |||||||
\(110\) | 5.90415 | + | 8.27494i | 0.562939 | + | 0.788985i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.4873 | − | 14.9792i | −1.27443 | − | 1.41540i | ||||
\(113\) | −1.24607 | − | 11.8555i | −0.117220 | − | 1.11528i | −0.882087 | − | 0.471087i | \(-0.843862\pi\) |
0.764866 | − | 0.644189i | \(-0.222805\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.13102 | + | 1.25612i | −0.105468 | + | 0.117134i | ||||
\(116\) | −1.75035 | − | 5.38701i | −0.162516 | − | 0.500172i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.58474 | − | 4.78409i | 0.606174 | − | 0.440412i | ||||
\(119\) | 23.4749 | − | 4.98975i | 2.15194 | − | 0.457410i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.57843 | + | 10.4017i | −0.325312 | + | 0.945607i | ||||
\(122\) | −10.1430 | + | 17.5682i | −0.918303 | + | 1.59055i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.59644 | + | 0.710783i | 0.143365 | + | 0.0638302i | ||||
\(125\) | −9.74718 | − | 7.08174i | −0.871814 | − | 0.633410i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.10481 | − | 9.55562i | −0.275507 | − | 0.847924i | −0.989085 | − | 0.147348i | \(-0.952926\pi\) |
0.713577 | − | 0.700576i | \(-0.247074\pi\) | |||||||
\(128\) | −0.937370 | + | 8.91848i | −0.0828526 | + | 0.788290i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.8554 | + | 12.0561i | 0.952079 | + | 1.05739i | ||||
\(131\) | 2.50914 | − | 4.34597i | 0.219225 | − | 0.379709i | −0.735346 | − | 0.677692i | \(-0.762980\pi\) |
0.954571 | + | 0.297983i | \(0.0963138\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.93242 | − | 3.34705i | −0.167562 | − | 0.290226i | ||||
\(134\) | 1.55736 | − | 4.79306i | 0.134535 | − | 0.414057i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.55268 | − | 4.03426i | −0.476138 | − | 0.345935i | ||||
\(137\) | 2.68050 | − | 2.97700i | 0.229011 | − | 0.254342i | −0.617677 | − | 0.786432i | \(-0.711926\pi\) |
0.846688 | + | 0.532089i | \(0.178593\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.08484 | − | 0.483004i | 0.0920153 | − | 0.0409679i | −0.360213 | − | 0.932870i | \(-0.617296\pi\) |
0.452228 | + | 0.891902i | \(0.350629\pi\) | |||||||
\(140\) | 0.979625 | + | 9.32051i | 0.0827934 | + | 0.787727i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.20265 | + | 14.2074i | 0.688351 | + | 1.19226i | ||||
\(143\) | −3.79732 | + | 17.1396i | −0.317547 | + | 1.43328i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.16288 | − | 6.65667i | 0.179618 | − | 0.552806i | ||||
\(146\) | 19.7793 | + | 8.80632i | 1.63695 | + | 0.728816i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.1327 | + | 2.79144i | 1.07950 | + | 0.229455i | ||||
\(149\) | −20.0286 | − | 4.25721i | −1.64081 | − | 0.348764i | −0.707187 | − | 0.707027i | \(-0.750036\pi\) |
−0.933621 | + | 0.358263i | \(0.883369\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.118840 | − | 0.0529110i | −0.00967106 | − | 0.00430583i | 0.401895 | − | 0.915686i | \(-0.368352\pi\) |
−0.411566 | + | 0.911380i | \(0.635018\pi\) | |||||||
\(152\) | −0.341554 | + | 1.05119i | −0.0277037 | + | 0.0852632i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −18.8100 | + | 16.6462i | −1.51575 | + | 1.34139i | ||||
\(155\) | 1.07970 | + | 1.87009i | 0.0867234 | + | 0.150209i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.416822 | − | 3.96579i | −0.0332660 | − | 0.316505i | −0.998483 | − | 0.0550558i | \(-0.982466\pi\) |
0.965217 | − | 0.261449i | \(-0.0842003\pi\) | |||||||
\(158\) | −18.6432 | + | 8.30050i | −1.48318 | + | 0.660352i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.34837 | − | 8.16119i | 0.580940 | − | 0.645199i | ||||
\(161\) | −3.37893 | − | 2.45494i | −0.266297 | − | 0.193476i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.11733 | + | 12.6718i | −0.322494 | + | 0.992535i | 0.650065 | + | 0.759879i | \(0.274742\pi\) |
−0.972559 | + | 0.232656i | \(0.925258\pi\) | |||||||
\(164\) | −0.943090 | − | 1.63348i | −0.0736429 | − | 0.127553i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.0206 | − | 22.5523i | 1.01059 | − | 1.75040i | ||||
\(167\) | 4.22397 | + | 4.69120i | 0.326861 | + | 0.363016i | 0.884068 | − | 0.467358i | \(-0.154794\pi\) |
−0.557208 | + | 0.830373i | \(0.688127\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.56968 | + | 14.9345i | −0.120745 | + | 1.14881i | ||||
\(170\) | 5.49693 | + | 16.9178i | 0.421595 | + | 1.29754i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.27905 | − | 6.01508i | −0.631272 | − | 0.458646i | ||||
\(173\) | −16.9604 | − | 7.55127i | −1.28948 | − | 0.574112i | −0.356583 | − | 0.934264i | \(-0.616058\pi\) |
−0.932894 | + | 0.360152i | \(0.882725\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.54742 | − | 7.87637i | 0.343753 | − | 0.595398i | ||||
\(176\) | 16.0631 | + | 1.82796i | 1.21080 | + | 0.137787i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.7686 | + | 2.71406i | −0.957050 | + | 0.203427i | ||||
\(179\) | 2.70110 | − | 1.96246i | 0.201890 | − | 0.146681i | −0.482247 | − | 0.876035i | \(-0.660179\pi\) |
0.684137 | + | 0.729354i | \(0.260179\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.04906 | + | 18.6171i | 0.449623 | + | 1.38380i | 0.877333 | + | 0.479882i | \(0.159321\pi\) |
−0.427710 | + | 0.903916i | \(0.640679\pi\) | |||||||
\(182\) | −26.8230 | + | 29.7900i | −1.98825 | + | 2.20818i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.124854 | + | 1.18790i | 0.00920433 | + | 0.0875734i | ||||
\(185\) | 11.1012 | + | 12.3291i | 0.816176 | + | 0.906455i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.4477 | + | 15.4750i | −0.837137 | + | 1.13165i | ||||
\(188\) | −7.98791 | −0.582578 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.31754 | − | 1.68379i | 0.168132 | − | 0.122155i | ||||
\(191\) | 1.91685 | − | 18.2376i | 0.138698 | − | 1.31963i | −0.674775 | − | 0.738024i | \(-0.735759\pi\) |
0.813473 | − | 0.581603i | \(-0.197574\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.23546 | + | 1.75050i | 0.592801 | + | 0.126004i | 0.494537 | − | 0.869157i | \(-0.335338\pi\) |
0.0982641 | + | 0.995160i | \(0.468671\pi\) | |||||||
\(194\) | −5.86469 | + | 2.61113i | −0.421060 | + | 0.187468i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.3783 | + | 2.84365i | −0.955596 | + | 0.203118i | ||||
\(197\) | −26.5949 | −1.89481 | −0.947404 | − | 0.320040i | \(-0.896304\pi\) | ||||
−0.947404 | + | 0.320040i | \(0.896304\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.2454 | 1.08072 | 0.540361 | − | 0.841434i | \(-0.318288\pi\) | ||||
0.540361 | + | 0.841434i | \(0.318288\pi\) | |||||||
\(200\) | −2.54416 | + | 0.540778i | −0.179899 | + | 0.0382388i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −25.8958 | + | 11.5296i | −1.82202 | + | 0.811217i | ||||
\(203\) | 16.9168 | + | 3.59577i | 1.18733 | + | 0.252374i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.243628 | − | 2.31796i | 0.0170157 | − | 0.161893i | ||||
\(206\) | 1.13630 | − | 0.825570i | 0.0791697 | − | 0.0575202i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 25.8010 | 1.78898 | ||||||||
\(209\) | 2.93980 | + | 0.983201i | 0.203350 | + | 0.0680094i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0394 | + | 13.3711i | 0.828826 | + | 0.920504i | 0.997879 | − | 0.0651027i | \(-0.0207375\pi\) |
−0.169053 | + | 0.985607i | \(0.554071\pi\) | |||||||
\(212\) | 0.138901 | + | 1.32155i | 0.00953973 | + | 0.0907645i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.20901 | + | 2.45335i | −0.151005 | + | 0.167708i | ||||
\(215\) | −3.90764 | − | 12.0265i | −0.266499 | − | 0.820198i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.31671 | + | 3.13627i | −0.293037 | + | 0.212904i | ||||
\(218\) | 28.1675 | − | 5.98720i | 1.90775 | − | 0.405504i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.54268 | − | 5.07755i | −0.373687 | − | 0.342328i | ||||
\(221\) | −15.3600 | + | 26.6044i | −1.03323 | + | 1.78960i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.4219 | + | 5.08537i | 0.764869 | + | 0.340541i | 0.751816 | − | 0.659373i | \(-0.229178\pi\) |
0.0130529 | + | 0.999915i | \(0.495845\pi\) | |||||||
\(224\) | 21.9534 | + | 15.9500i | 1.46682 | + | 1.06571i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.74669 | + | 20.7642i | 0.448783 | + | 1.38121i | ||||
\(227\) | −2.70963 | + | 25.7804i | −0.179844 | + | 1.71110i | 0.417133 | + | 0.908845i | \(0.363035\pi\) |
−0.596977 | + | 0.802258i | \(0.703632\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.04988 | − | 2.27662i | −0.135460 | − | 0.150444i | 0.671598 | − | 0.740916i | \(-0.265608\pi\) |
−0.807058 | + | 0.590472i | \(0.798942\pi\) | |||||||
\(230\) | 1.54785 | − | 2.68096i | 0.102062 | − | 0.176777i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.47302 | − | 4.28340i | −0.162362 | − | 0.281219i | ||||
\(233\) | −0.0550372 | + | 0.169387i | −0.00360561 | + | 0.0110969i | −0.952843 | − | 0.303463i | \(-0.901857\pi\) |
0.949238 | + | 0.314560i | \(0.101857\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.98545 | − | 5.80177i | −0.520914 | − | 0.378466i | ||||
\(236\) | −4.02722 | + | 4.47269i | −0.262150 | + | 0.291147i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −40.1542 | + | 17.8778i | −2.60281 | + | 1.15885i | ||||
\(239\) | 0.670676 | + | 6.38106i | 0.0433824 | + | 0.412756i | 0.994564 | + | 0.104125i | \(0.0332042\pi\) |
−0.951182 | + | 0.308631i | \(0.900129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.44251 | − | 12.8908i | −0.479415 | − | 0.830370i | 0.520307 | − | 0.853979i | \(-0.325818\pi\) |
−0.999721 | + | 0.0236091i | \(0.992484\pi\) | |||||||
\(242\) | 2.44979 | − | 19.9967i | 0.157478 | − | 1.28544i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.63546 | − | 14.2665i | 0.296755 | − | 0.913317i | ||||
\(245\) | −15.4396 | − | 6.87416i | −0.986401 | − | 0.439174i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.83904 | + | 1.02857i | 0.307901 | + | 0.0654463i | ||||
\(248\) | 1.49260 | + | 0.317263i | 0.0947804 | + | 0.0201462i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20.1582 | + | 8.97503i | 1.27492 | + | 0.567630i | ||||
\(251\) | −3.45988 | + | 10.6484i | −0.218386 | + | 0.672123i | 0.780510 | + | 0.625143i | \(0.214960\pi\) |
−0.998896 | + | 0.0469795i | \(0.985040\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.33443 | − | 0.321525i | 0.209634 | − | 0.0202141i | ||||
\(254\) | 9.20076 | + | 15.9362i | 0.577307 | + | 0.999925i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.19128 | − | 20.8486i | −0.136955 | − | 1.30304i | ||||
\(257\) | −4.84328 | + | 2.15637i | −0.302115 | + | 0.134510i | −0.552195 | − | 0.833715i | \(-0.686210\pi\) |
0.250080 | + | 0.968225i | \(0.419543\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −27.4304 | + | 30.4646i | −1.70444 | + | 1.89298i | ||||
\(260\) | −9.70522 | − | 7.05126i | −0.601892 | − | 0.437300i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.84013 | + | 8.74104i | −0.175464 | + | 0.540023i | ||||
\(263\) | −3.48315 | − | 6.03300i | −0.214780 | − | 0.372011i | 0.738424 | − | 0.674336i | \(-0.235570\pi\) |
−0.953205 | + | 0.302326i | \(0.902237\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.821010 | + | 1.42203i | −0.0504342 | + | 0.0873546i | ||||
\(266\) | 4.73635 | + | 5.26025i | 0.290404 | + | 0.322527i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.389543 | + | 3.70625i | −0.0237951 | + | 0.226395i | ||||
\(269\) | −4.00525 | − | 12.3269i | −0.244204 | − | 0.751583i | −0.995766 | − | 0.0919210i | \(-0.970699\pi\) |
0.751562 | − | 0.659662i | \(-0.229301\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.10547 | − | 1.52971i | −0.127898 | − | 0.0929235i | 0.521997 | − | 0.852947i | \(-0.325187\pi\) |
−0.649895 | + | 0.760024i | \(0.725187\pi\) | |||||||
\(272\) | 25.8447 | + | 11.5068i | 1.56706 | + | 0.697701i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.66840 | + | 6.35385i | −0.221616 | + | 0.383850i | ||||
\(275\) | 1.45529 | + | 7.14802i | 0.0877573 | + | 0.431042i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.2080 | − | 2.59489i | 0.733509 | − | 0.155912i | 0.174011 | − | 0.984744i | \(-0.444327\pi\) |
0.559498 | + | 0.828832i | \(0.310994\pi\) | |||||||
\(278\) | −1.75953 | + | 1.27837i | −0.105529 | + | 0.0766716i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.52886 | + | 7.78302i | 0.151128 | + | 0.465125i | ||||
\(281\) | 12.2260 | − | 13.5784i | 0.729342 | − | 0.810017i | −0.258412 | − | 0.966035i | \(-0.583199\pi\) |
0.987754 | + | 0.156018i | \(0.0498659\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.14478 | + | 10.8918i | 0.0680499 | + | 0.647452i | 0.974384 | + | 0.224890i | \(0.0722023\pi\) |
−0.906334 | + | 0.422562i | \(0.861131\pi\) | |||||||
\(284\) | −8.11725 | − | 9.01512i | −0.481670 | − | 0.534949i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.276217 | − | 32.1507i | 0.0163330 | − | 1.90111i | ||||
\(287\) | 5.75910 | 0.339949 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.4978 | + | 9.80673i | −0.793988 | + | 0.576866i | ||||
\(290\) | −1.33994 | + | 12.7487i | −0.0786841 | + | 0.748629i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.6603 | − | 3.32870i | −0.916449 | − | 0.194797i | ||||
\(293\) | −19.8909 | + | 8.85598i | −1.16204 | + | 0.517372i | −0.894891 | − | 0.446284i | \(-0.852747\pi\) |
−0.267145 | + | 0.963656i | \(0.586080\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.27458 | + | 1.54626i | −0.423543 | + | 0.0900268i | ||||
\(296\) | 11.7238 | 0.681429 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 37.5014 | 2.17240 | ||||||||
\(299\) | 5.22936 | − | 1.11154i | 0.302422 | − | 0.0642817i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 28.5447 | − | 12.7089i | 1.64529 | − | 0.732529i | ||||
\(302\) | 0.233044 | + | 0.0495350i | 0.0134102 | + | 0.00285042i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.476220 | − | 4.53093i | 0.0273131 | − | 0.259867i | ||||
\(305\) | 14.9960 | − | 10.8953i | 0.858671 | − | 0.623861i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.26858 | 0.129475 | 0.0647374 | − | 0.997902i | \(-0.479379\pi\) | ||||
0.0647374 | + | 0.997902i | \(0.479379\pi\) | |||||||
\(308\) | 11.0460 | − | 14.9321i | 0.629406 | − | 0.850834i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.64633 | − | 2.93905i | −0.150302 | − | 0.166927i | ||||
\(311\) | −2.88807 | − | 27.4782i | −0.163768 | − | 1.55814i | −0.700042 | − | 0.714101i | \(-0.746836\pi\) |
0.536275 | − | 0.844043i | \(-0.319831\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.15423 | − | 6.83497i | 0.347858 | − | 0.386335i | −0.543672 | − | 0.839298i | \(-0.682966\pi\) |
0.891529 | + | 0.452963i | \(0.149633\pi\) | |||||||
\(314\) | 2.25683 | + | 6.94581i | 0.127360 | + | 0.391975i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.2085 | − | 8.87000i | 0.686782 | − | 0.498976i | ||||
\(317\) | −11.9564 | + | 2.54141i | −0.671539 | + | 0.142740i | −0.531048 | − | 0.847342i | \(-0.678201\pi\) |
−0.140491 | + | 0.990082i | \(0.544868\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.0722 | + | 6.83229i | −0.675914 | + | 0.382535i | ||||
\(320\) | −1.89921 | + | 3.28953i | −0.106169 | + | 0.183890i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.98800 | + | 3.11126i | 0.389426 | + | 0.173384i | ||||
\(323\) | 4.38850 | + | 3.18843i | 0.244183 | + | 0.177409i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.59750 | + | 11.0720i | 0.199553 | + | 0.614162i | ||||
\(326\) | 2.55076 | − | 24.2688i | 0.141273 | − | 1.34413i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.10207 | − | 1.22398i | −0.0608518 | − | 0.0675828i | ||||
\(329\) | 12.1948 | − | 21.1220i | 0.672321 | − | 1.16449i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.6995 | − | 27.1924i | −0.862924 | − | 1.49463i | −0.869094 | − | 0.494648i | \(-0.835297\pi\) |
0.00616924 | − | 0.999981i | \(-0.498036\pi\) | |||||||
\(332\) | −5.95055 | + | 18.3139i | −0.326579 | + | 1.00511i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.35338 | − | 6.79563i | −0.511794 | − | 0.371840i | ||||
\(335\) | −3.08135 | + | 3.42218i | −0.168352 | + | 0.186974i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.8368 | + | 8.38666i | −1.02610 | + | 0.456851i | −0.849588 | − | 0.527447i | \(-0.823149\pi\) |
−0.176515 | + | 0.984298i | \(0.556483\pi\) | |||||||
\(338\) | −2.87483 | − | 27.3522i | −0.156370 | − | 1.48776i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.57691 | − | 11.3915i | −0.356683 | − | 0.617793i | ||||
\(341\) | 0.925712 | − | 4.17830i | 0.0501301 | − | 0.226268i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.96009 | − | 12.1879i | 0.213825 | − | 0.658085i | ||||
\(344\) | −8.16337 | − | 3.63457i | −0.440140 | − | 0.195963i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 33.2592 | + | 7.06946i | 1.78803 | + | 0.380057i | ||||
\(347\) | 8.80923 | + | 1.87246i | 0.472904 | + | 0.100519i | 0.438198 | − | 0.898879i | \(-0.355617\pi\) |
0.0347067 | + | 0.999398i | \(0.488950\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.69178 | + | 2.53414i | 0.304674 | + | 0.135650i | 0.553379 | − | 0.832930i | \(-0.313338\pi\) |
−0.248705 | + | 0.968579i | \(0.580005\pi\) | |||||||
\(350\) | −5.14729 | + | 15.8417i | −0.275134 | + | 0.846777i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −21.6642 | + | 2.08899i | −1.15471 | + | 0.111344i | ||||
\(353\) | 5.04457 | + | 8.73745i | 0.268495 | + | 0.465047i | 0.968473 | − | 0.249117i | \(-0.0801403\pi\) |
−0.699978 | + | 0.714164i | \(0.746807\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.56690 | − | 14.9081i | −0.0831624 | − | 0.791238i | ||||
\(356\) | 8.81829 | − | 3.92615i | 0.467368 | − | 0.208086i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.09162 | + | 4.54420i | −0.216249 | + | 0.240168i | ||||
\(359\) | 10.0638 | + | 7.31180i | 0.531148 | + | 0.385902i | 0.820787 | − | 0.571234i | \(-0.193535\pi\) |
−0.289639 | + | 0.957136i | \(0.593535\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.60138 | + | 17.2393i | −0.294809 | + | 0.907330i | ||||
\(362\) | −17.9257 | − | 31.0483i | −0.942155 | − | 1.63186i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.8211 | − | 25.6709i | 0.776837 | − | 1.34552i | ||||
\(365\) | −13.2378 | − | 14.7020i | −0.692897 | − | 0.769540i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.76626 | + | 16.8048i | −0.0921979 | + | 0.877204i | 0.846483 | + | 0.532416i | \(0.178716\pi\) |
−0.938681 | + | 0.344788i | \(0.887951\pi\) | |||||||
\(368\) | −1.52141 | − | 4.68240i | −0.0793087 | − | 0.244087i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −24.5820 | − | 17.8599i | −1.27796 | − | 0.928491i | ||||
\(371\) | −3.70656 | − | 1.65027i | −0.192435 | − | 0.0856777i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.76122 | + | 8.24668i | −0.246527 | + | 0.426997i | −0.962560 | − | 0.271069i | \(-0.912623\pi\) |
0.716033 | + | 0.698067i | \(0.245956\pi\) | |||||||
\(374\) | 14.6153 | − | 32.0819i | 0.755740 | − | 1.65892i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.82267 | + | 1.45020i | −0.351852 | + | 0.0747885i | ||||
\(377\) | −17.9099 | + | 13.0123i | −0.922408 | + | 0.670168i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.67585 | − | 23.6238i | −0.394282 | − | 1.21348i | −0.929519 | − | 0.368774i | \(-0.879778\pi\) |
0.535237 | − | 0.844702i | \(-0.320222\pi\) | |||||||
\(380\) | −1.41741 | + | 1.57419i | −0.0727115 | + | 0.0807543i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.51066 | + | 33.4017i | 0.179621 | + | 1.70898i | ||||
\(383\) | 19.8218 | + | 22.0143i | 1.01284 | + | 1.12488i | 0.992145 | + | 0.125092i | \(0.0399225\pi\) |
0.0206991 | + | 0.999786i | \(0.493411\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.8881 | − | 6.90455i | 1.11552 | − | 0.351888i | ||||
\(386\) | −15.4200 | −0.784857 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.84049 | − | 2.79028i | 0.194971 | − | 0.141655i | ||||
\(389\) | −1.42659 | + | 13.5731i | −0.0723312 | + | 0.688186i | 0.896933 | + | 0.442165i | \(0.145790\pi\) |
−0.969265 | + | 0.246020i | \(0.920877\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.73393 | + | 1.21879i | 0.289977 | + | 0.0616366i | ||||
\(392\) | −10.9105 | + | 4.85767i | −0.551063 | + | 0.245349i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 47.6435 | − | 10.1269i | 2.40024 | − | 0.510188i | ||||
\(395\) | 18.6472 | 0.938242 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.1728 | 1.21320 | 0.606599 | − | 0.795008i | \(-0.292533\pi\) | ||||
0.606599 | + | 0.795008i | \(0.292533\pi\) | |||||||
\(398\) | −27.3115 | + | 5.80524i | −1.36900 | + | 0.290990i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.79415 | − | 4.36063i | 0.489707 | − | 0.218032i | ||||
\(401\) | −7.33275 | − | 1.55862i | −0.366180 | − | 0.0778339i | 0.0211470 | − | 0.999776i | \(-0.493268\pi\) |
−0.387327 | + | 0.921942i | \(0.626602\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.713925 | − | 6.79254i | 0.0355631 | − | 0.338360i | ||||
\(404\) | 16.9579 | − | 12.3206i | 0.843685 | − | 0.612973i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −31.6748 | −1.57200 | ||||||||
\(407\) | 0.282472 | − | 32.8788i | 0.0140016 | − | 1.62974i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.58844 | − | 5.09598i | −0.226884 | − | 0.251980i | 0.618945 | − | 0.785434i | \(-0.287560\pi\) |
−0.845829 | + | 0.533454i | \(0.820894\pi\) | |||||||
\(410\) | 0.446198 | + | 4.24529i | 0.0220361 | + | 0.209660i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.694960 | + | 0.771832i | −0.0342382 | + | 0.0380254i | ||||
\(413\) | −5.67870 | − | 17.4772i | −0.279431 | − | 0.859999i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.2505 | + | 13.9863i | −0.944969 | + | 0.686560i | ||||
\(416\) | −33.9758 | + | 7.22179i | −1.66580 | + | 0.354077i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.64090 | − | 0.641925i | −0.275906 | − | 0.0313976i | ||||
\(419\) | 2.37899 | − | 4.12054i | 0.116221 | − | 0.201301i | −0.802046 | − | 0.597262i | \(-0.796255\pi\) |
0.918267 | + | 0.395961i | \(0.129588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.22415 | − | 0.990257i | −0.108399 | − | 0.0482622i | 0.351821 | − | 0.936067i | \(-0.385563\pi\) |
−0.460219 | + | 0.887805i | \(0.652229\pi\) | |||||||
\(422\) | −26.6595 | − | 19.3693i | −1.29776 | − | 0.942881i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.358565 | + | 1.10355i | 0.0174135 | + | 0.0535932i | ||||
\(425\) | −1.33431 | + | 12.6951i | −0.0647235 | + | 0.615803i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 30.6473 | + | 34.0373i | 1.48313 | + | 1.64718i | ||||
\(428\) | 1.22059 | − | 2.11413i | 0.0589996 | − | 0.102190i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.5798 | + | 20.0569i | 0.558430 | + | 0.967228i | ||||
\(431\) | 0.292969 | − | 0.901665i | 0.0141118 | − | 0.0434317i | −0.943753 | − | 0.330652i | \(-0.892731\pi\) |
0.957864 | + | 0.287221i | \(0.0927313\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.63117 | − | 5.54437i | −0.366731 | − | 0.266446i | 0.389123 | − | 0.921186i | \(-0.372778\pi\) |
−0.755854 | + | 0.654740i | \(0.772778\pi\) | |||||||
\(434\) | 6.53894 | − | 7.26223i | 0.313879 | − | 0.348598i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −19.4531 | + | 8.66108i | −0.931634 | + | 0.414790i | ||||
\(437\) | −0.0986768 | − | 0.938847i | −0.00472035 | − | 0.0449111i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.66424 | − | 8.07871i | −0.222612 | − | 0.385576i | 0.732988 | − | 0.680241i | \(-0.238125\pi\) |
−0.955600 | + | 0.294666i | \(0.904792\pi\) | |||||||
\(440\) | −5.65596 | − | 3.33058i | −0.269638 | − | 0.158779i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.3862 | − | 53.5093i | 0.826979 | − | 2.54518i | ||||
\(443\) | −28.5290 | − | 12.7020i | −1.35546 | − | 0.603488i | −0.404991 | − | 0.914321i | \(-0.632725\pi\) |
−0.950465 | + | 0.310833i | \(0.899392\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.6672 | + | 2.47994i | 0.553079 | + | 0.117561i | ||||
\(446\) | −22.3983 | − | 4.76090i | −1.06059 | − | 0.225435i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.57425 | − | 3.81750i | −0.405095 | − | 0.180360i | ||||
\(449\) | 7.64865 | − | 23.5401i | 0.360962 | − | 1.11093i | −0.591509 | − | 0.806298i | \(-0.701468\pi\) |
0.952471 | − | 0.304629i | \(-0.0985324\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.45914 | + | 3.06123i | −0.162885 | + | 0.144148i | ||||
\(452\) | −8.07221 | − | 13.9815i | −0.379685 | − | 0.657633i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.96261 | − | 47.2161i | −0.232907 | − | 2.21596i | ||||
\(455\) | 33.4618 | − | 14.8982i | 1.56871 | − | 0.698437i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.57031 | + | 10.6289i | −0.447680 | + | 0.497199i | −0.924170 | − | 0.381981i | \(-0.875242\pi\) |
0.476490 | + | 0.879180i | \(0.341909\pi\) | |||||||
\(458\) | 4.53917 | + | 3.29790i | 0.212101 | + | 0.154101i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.707386 | + | 2.17711i | −0.0329820 | + | 0.101508i | ||||
\(461\) | 11.4337 | + | 19.8038i | 0.532522 | + | 0.922355i | 0.999279 | + | 0.0379694i | \(0.0120889\pi\) |
−0.466757 | + | 0.884386i | \(0.654578\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.3111 | − | 23.0556i | 0.618621 | − | 1.07148i | −0.371116 | − | 0.928586i | \(-0.621025\pi\) |
0.989738 | − | 0.142897i | \(-0.0456418\pi\) | |||||||
\(464\) | 13.6416 | + | 15.1505i | 0.633295 | + | 0.703346i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.0340965 | − | 0.324406i | 0.00157949 | − | 0.0150278i | ||||
\(467\) | 11.5834 | + | 35.6500i | 0.536015 | + | 1.64968i | 0.741445 | + | 0.671013i | \(0.234141\pi\) |
−0.205430 | + | 0.978672i | \(0.565859\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.20556 | − | 6.68823i | −0.425073 | − | 0.308834i | ||||
\(470\) | 16.5148 | + | 7.35286i | 0.761770 | + | 0.339162i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.62773 | + | 4.55137i | −0.120951 | + | 0.209494i | ||||
\(473\) | −10.3897 | + | 22.8063i | −0.477718 | + | 1.04863i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.01075 | − | 0.427399i | 0.0922597 | − | 0.0196104i | ||||
\(476\) | 26.2950 | − | 19.1044i | 1.20523 | − | 0.875649i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.63130 | − | 11.1760i | −0.166092 | − | 0.511178i | ||||
\(479\) | 1.67119 | − | 1.85605i | 0.0763588 | − | 0.0848051i | −0.703755 | − | 0.710443i | \(-0.748495\pi\) |
0.780114 | + | 0.625638i | \(0.215161\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.48503 | − | 52.1866i | −0.250096 | − | 2.37950i | ||||
\(482\) | 18.2415 | + | 20.2593i | 0.830880 | + | 0.922785i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.30241 | + | 14.8403i | 0.0592004 | + | 0.674557i | ||||
\(485\) | 5.86594 | 0.266359 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −28.4544 | + | 20.6733i | −1.28939 | + | 0.936797i | −0.999793 | − | 0.0203519i | \(-0.993521\pi\) |
−0.289597 | + | 0.957149i | \(0.593521\pi\) | |||||||
\(488\) | 1.36918 | − | 13.0269i | 0.0619800 | − | 0.589700i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 30.2769 | + | 6.43556i | 1.36777 | + | 0.290729i | ||||
\(491\) | 32.5003 | − | 14.4701i | 1.46672 | − | 0.653026i | 0.490823 | − | 0.871259i | \(-0.336696\pi\) |
0.975897 | + | 0.218234i | \(0.0700295\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.7435 | + | 5.04683i | −1.06935 | + | 0.227298i | ||||
\(494\) | −9.06057 | −0.407654 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.28979 | −0.282420 | ||||||||
\(497\) | 36.2305 | − | 7.70103i | 1.62516 | − | 0.345438i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.54396 | + | 2.46833i | −0.248182 | + | 0.110498i | −0.527058 | − | 0.849829i | \(-0.676705\pi\) |
0.278876 | + | 0.960327i | \(0.410038\pi\) | |||||||
\(500\) | −15.9603 | − | 3.39246i | −0.713766 | − | 0.151716i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.14346 | − | 20.3936i | 0.0956672 | − | 0.910212i | ||||
\(503\) | −4.89369 | + | 3.55547i | −0.218199 | + | 0.158531i | −0.691515 | − | 0.722362i | \(-0.743057\pi\) |
0.473317 | + | 0.880892i | \(0.343057\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.9013 | 1.15259 | ||||||||
\(506\) | −5.85104 | + | 1.84570i | −0.260111 | + | 0.0820513i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.10497 | − | 10.1121i | −0.403968 | − | 0.448652i | ||||
\(509\) | 0.508398 | + | 4.83708i | 0.0225343 | + | 0.214400i | 0.999995 | + | 0.00328056i | \(0.00104424\pi\) |
−0.977460 | + | 0.211119i | \(0.932289\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 32.7098 | − | 36.3279i | 1.44700 | − | 1.60705i | ||||
\(512\) | 6.32213 | + | 19.4575i | 0.279401 | + | 0.859909i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.85539 | − | 5.70728i | 0.346487 | − | 0.251737i | ||||
\(515\) | −1.25534 | + | 0.266831i | −0.0553170 | + | 0.0117580i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.90265 | + | 19.1688i | 0.171638 | + | 0.843044i | ||||
\(518\) | 37.5399 | − | 65.0210i | 1.64941 | − | 2.85686i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.56962 | − | 4.26067i | −0.419656 | − | 0.186843i | ||||
\(521\) | −20.5110 | − | 14.9021i | −0.898602 | − | 0.652873i | 0.0395043 | − | 0.999219i | \(-0.487422\pi\) |
−0.938107 | + | 0.346347i | \(0.887422\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.108444 | − | 0.333757i | −0.00474193 | − | 0.0145942i | 0.948658 | − | 0.316305i | \(-0.102442\pi\) |
−0.953399 | + | 0.301711i | \(0.902442\pi\) | |||||||
\(524\) | 0.710404 | − | 6.75904i | 0.0310341 | − | 0.295270i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.53718 | + | 9.48150i | 0.372239 | + | 0.413413i | ||||
\(527\) | 3.74448 | − | 6.48563i | 0.163112 | − | 0.282519i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.9899 | + | 19.0351i | 0.477823 | + | 0.827613i | ||||
\(530\) | 0.929312 | − | 2.86013i | 0.0403667 | − | 0.124236i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.23453 | − | 3.07656i | −0.183590 | − | 0.133386i | ||||
\(533\) | −4.93274 | + | 5.47836i | −0.213661 | + | 0.237294i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.75575 | − | 1.22694i | 0.119141 | − | 0.0530452i | ||||
\(536\) | 0.340151 | + | 3.23632i | 0.0146923 | + | 0.139788i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.8691 | + | 20.5579i | 0.511714 | + | 0.886314i | ||||
\(539\) | 13.3602 | + | 30.7151i | 0.575466 | + | 1.32299i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.14825 | − | 12.7670i | 0.178347 | − | 0.548896i | −0.821423 | − | 0.570319i | \(-0.806820\pi\) |
0.999771 | + | 0.0214230i | \(0.00681967\pi\) | |||||||
\(542\) | 4.35434 | + | 1.93868i | 0.187035 | + | 0.0832733i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −37.2541 | − | 7.91860i | −1.59726 | − | 0.339507i | ||||
\(545\) | −25.7378 | − | 5.47074i | −1.10249 | − | 0.234341i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.58250 | − | 1.59503i | −0.153177 | − | 0.0681987i | 0.328716 | − | 0.944429i | \(-0.393384\pi\) |
−0.481893 | + | 0.876230i | \(0.660051\pi\) | |||||||
\(548\) | 1.67650 | − | 5.15973i | 0.0716164 | − | 0.220413i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.32894 | − | 12.2512i | −0.227227 | − | 0.522393i | ||||
\(551\) | 1.95453 | + | 3.38534i | 0.0832658 | + | 0.144221i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.81627 | + | 45.8238i | 0.204809 | + | 1.94863i | ||||
\(554\) | −20.8820 | + | 9.29726i | −0.887191 | + | 0.395003i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.07613 | − | 1.19516i | 0.0456379 | − | 0.0506860i | ||||
\(557\) | 26.0314 | + | 18.9129i | 1.10299 | + | 0.801366i | 0.981545 | − | 0.191232i | \(-0.0612484\pi\) |
0.121441 | + | 0.992599i | \(0.461248\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.3595 | + | 38.0385i | −0.522749 | + | 1.60886i | ||||
\(560\) | −16.8658 | − | 29.2125i | −0.712712 | − | 1.23445i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.7319 | + | 28.9805i | −0.705792 | + | 1.22247i | ||||
\(563\) | −30.5760 | − | 33.9581i | −1.28863 | − | 1.43116i | −0.844829 | − | 0.535037i | \(-0.820298\pi\) |
−0.443797 | − | 0.896127i | \(-0.646369\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.08529 | − | 19.8402i | 0.0877286 | − | 0.834682i | ||||
\(566\) | −6.19826 | − | 19.0763i | −0.260532 | − | 0.801836i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.56983 | − | 6.22635i | −0.359582 | − | 0.261252i | ||||
\(569\) | −8.04097 | − | 3.58007i | −0.337095 | − | 0.150084i | 0.231207 | − | 0.972905i | \(-0.425733\pi\) |
−0.568302 | + | 0.822820i | \(0.692399\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.51717 | + | 11.2881i | −0.272735 | + | 0.472391i | −0.969561 | − | 0.244849i | \(-0.921262\pi\) |
0.696826 | + | 0.717240i | \(0.254595\pi\) | |||||||
\(572\) | 4.74313 | + | 23.2971i | 0.198320 | + | 0.974099i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.3172 | + | 2.19298i | −0.430630 | + | 0.0915332i | ||||
\(575\) | 1.79722 | − | 1.30576i | 0.0749493 | − | 0.0544539i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.05362 | + | 15.5534i | 0.210385 | + | 0.647498i | 0.999449 | + | 0.0331875i | \(0.0105659\pi\) |
−0.789064 | + | 0.614311i | \(0.789434\pi\) | |||||||
\(578\) | 20.4464 | − | 22.7081i | 0.850459 | − | 0.944530i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.990832 | − | 9.42714i | −0.0411421 | − | 0.391441i | ||||
\(581\) | −39.3421 | − | 43.6938i | −1.63219 | − | 1.81273i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.10350 | − | 0.978992i | 0.128534 | − | 0.0405457i | ||||
\(584\) | −13.9802 | −0.578503 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 32.2613 | − | 23.4392i | 1.33270 | − | 0.968265i | ||||
\(587\) | 1.99081 | − | 18.9413i | 0.0821695 | − | 0.781790i | −0.873396 | − | 0.487011i | \(-0.838087\pi\) |
0.955565 | − | 0.294779i | \(-0.0952461\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.17966 | − | 0.250745i | −0.0486072 | − | 0.0103318i | ||||
\(590\) | 12.4433 | − | 5.54010i | 0.512282 | − | 0.228083i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −47.2680 | + | 10.0471i | −1.94270 | + | 0.412934i | ||||
\(593\) | −25.8883 | −1.06311 | −0.531553 | − | 0.847025i | \(-0.678391\pi\) | ||||
−0.531553 | + | 0.847025i | \(0.678391\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 40.1628 | 1.64651 | ||||||||
\(596\) | −27.1248 | + | 5.76554i | −1.11107 | + | 0.236166i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.94490 | + | 3.98253i | −0.365784 | + | 0.162858i | ||||
\(599\) | 24.1766 | + | 5.13890i | 0.987831 | + | 0.209970i | 0.673374 | − | 0.739302i | \(-0.264844\pi\) |
0.314457 | + | 0.949272i | \(0.398178\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.06709 | − | 19.6670i | 0.0843183 | − | 0.802235i | −0.867884 | − | 0.496767i | \(-0.834520\pi\) |
0.952202 | − | 0.305468i | \(-0.0988130\pi\) | |||||||
\(602\) | −46.2970 | + | 33.6368i | −1.88693 | + | 1.37093i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.176176 | −0.00716851 | ||||||||
\(605\) | −9.47676 | + | 15.7817i | −0.385285 | + | 0.641616i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −28.0709 | − | 31.1759i | −1.13936 | − | 1.26539i | −0.959503 | − | 0.281699i | \(-0.909102\pi\) |
−0.179861 | − | 0.983692i | \(-0.557565\pi\) | |||||||
\(608\) | 0.641116 | + | 6.09981i | 0.0260007 | + | 0.247380i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.7159 | + | 25.2286i | −0.919742 | + | 1.02148i | ||||
\(611\) | 9.64739 | + | 29.6916i | 0.390292 | + | 1.20119i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.69282 | − | 6.31570i | 0.351100 | − | 0.255089i | −0.398231 | − | 0.917285i | \(-0.630376\pi\) |
0.749330 | + | 0.662197i | \(0.230376\pi\) | |||||||
\(614\) | −4.06406 | + | 0.863842i | −0.164012 | + | 0.0348618i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.72376 | − | 14.7592i | 0.270908 | − | 0.594667i | ||||
\(617\) | −13.4507 | + | 23.2974i | −0.541507 | + | 0.937917i | 0.457311 | + | 0.889307i | \(0.348813\pi\) |
−0.998818 | + | 0.0486102i | \(0.984521\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.57449 | − | 2.92715i | −0.264251 | − | 0.117652i | 0.270335 | − | 0.962766i | \(-0.412866\pi\) |
−0.534586 | + | 0.845114i | \(0.679532\pi\) | |||||||
\(620\) | 2.36595 | + | 1.71896i | 0.0950187 | + | 0.0690351i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.6371 | + | 48.1261i | 0.626992 | + | 1.92968i | ||||
\(623\) | −3.08078 | + | 29.3116i | −0.123429 | + | 1.17435i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.13286 | − | 6.81123i | −0.245314 | − | 0.272449i | ||||
\(626\) | −8.42236 | + | 14.5880i | −0.336625 | + | 0.583052i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.70023 | − | 4.67694i | −0.107751 | − | 0.186630i | ||||
\(629\) | 17.7800 | − | 54.7211i | 0.708933 | − | 2.18187i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.2414 | + | 16.1594i | 0.885418 | + | 0.643294i | 0.934679 | − | 0.355492i | \(-0.115687\pi\) |
−0.0492612 | + | 0.998786i | \(0.515687\pi\) | |||||||
\(632\) | 8.81723 | − | 9.79253i | 0.350731 | − | 0.389526i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 20.4516 | − | 9.10564i | 0.812237 | − | 0.361631i | ||||
\(635\) | −1.75756 | − | 16.7221i | −0.0697468 | − | 0.663596i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 26.7277 | + | 46.2938i | 1.05899 | + | 1.83423i | ||||
\(638\) | 19.0252 | − | 16.8366i | 0.753213 | − | 0.666569i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.63749 | + | 14.2727i | −0.183313 | + | 0.564179i | ||||
\(641\) | 12.4687 | + | 5.55141i | 0.492483 | + | 0.219267i | 0.637924 | − | 0.770099i | \(-0.279793\pi\) |
−0.145441 | + | 0.989367i | \(0.546460\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.3560 | − | 4.32680i | −0.802762 | − | 0.170632i | −0.211781 | − | 0.977317i | \(-0.567926\pi\) |
−0.590982 | + | 0.806685i | \(0.701260\pi\) | |||||||
\(644\) | −5.53275 | − | 1.17602i | −0.218021 | − | 0.0463418i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.07590 | − | 4.04085i | −0.357086 | − | 0.158985i | ||||
\(647\) | −4.99597 | + | 15.3760i | −0.196412 | + | 0.604494i | 0.803545 | + | 0.595244i | \(0.202944\pi\) |
−0.999957 | + | 0.00925026i | \(0.997056\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.7008 | + | 7.47903i | 0.498550 | + | 0.293578i | ||||
\(650\) | −10.6608 | − | 18.4650i | −0.418150 | − | 0.724257i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.88618 | + | 17.9458i | 0.0738685 | + | 0.702812i | ||||
\(653\) | 15.4314 | − | 6.87052i | 0.603879 | − | 0.268864i | −0.0819391 | − | 0.996637i | \(-0.526111\pi\) |
0.685818 | + | 0.727773i | \(0.259445\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.61940 | − | 6.24098i | 0.219568 | − | 0.243855i | ||||
\(656\) | 5.49229 | + | 3.99038i | 0.214438 | + | 0.155798i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.8035 | + | 42.4827i | −0.538115 | + | 1.65615i | ||||
\(659\) | 15.1724 | + | 26.2794i | 0.591033 | + | 1.02370i | 0.994094 | + | 0.108526i | \(0.0346131\pi\) |
−0.403060 | + | 0.915173i | \(0.632054\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.79563 | + | 13.5024i | −0.303215 | + | 0.525183i | −0.976862 | − | 0.213869i | \(-0.931393\pi\) |
0.673648 | + | 0.739053i | \(0.264727\pi\) | |||||||
\(662\) | 38.4794 | + | 42.7357i | 1.49555 | + | 1.66097i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.75762 | + | 16.7227i | −0.0682091 | + | 0.648966i | ||||
\(665\) | −1.99866 | − | 6.15123i | −0.0775046 | − | 0.238535i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.41759 | + | 2.48302i | 0.132329 | + | 0.0961430i | ||||
\(668\) | 7.81007 | + | 3.47727i | 0.302181 | + | 0.134540i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.21697 | − | 7.30401i | 0.162916 | − | 0.282178i | ||||
\(671\) | −36.5004 | − | 4.15368i | −1.40908 | − | 0.160351i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.52790 | − | 0.537322i | 0.0974435 | − | 0.0207122i | −0.158932 | − | 0.987290i | \(-0.550805\pi\) |
0.256375 | + | 0.966577i | \(0.417472\pi\) | |||||||
\(674\) | 30.5516 | − | 22.1971i | 1.17681 | − | 0.854999i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.28455 | + | 19.3419i | 0.241714 | + | 0.743918i | ||||
\(677\) | −1.95756 | + | 2.17409i | −0.0752351 | + | 0.0835571i | −0.779587 | − | 0.626294i | \(-0.784571\pi\) |
0.704352 | + | 0.709851i | \(0.251238\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.51508 | + | 14.4150i | 0.0581434 | + | 0.553198i | ||||
\(680\) | −7.68563 | − | 8.53575i | −0.294730 | − | 0.327331i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0673363 | + | 7.83772i | −0.00257844 | + | 0.300122i | ||||
\(683\) | 12.4096 | 0.474841 | 0.237420 | − | 0.971407i | \(-0.423698\pi\) | ||||
0.237420 | + | 0.971407i | \(0.423698\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.42359 | − | 3.94047i | 0.207225 | − | 0.150558i | ||||
\(686\) | −2.45334 | + | 23.3420i | −0.0936691 | + | 0.891202i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 36.0280 | + | 7.65798i | 1.37355 | + | 0.291958i | ||||
\(689\) | 4.74454 | − | 2.11240i | 0.180752 | − | 0.0804762i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.89426 | − | 0.827751i | 0.148145 | − | 0.0314891i | −0.133242 | − | 0.991083i | \(-0.542539\pi\) |
0.281387 | + | 0.959594i | \(0.409206\pi\) | |||||||
\(692\) | −25.1432 | −0.955803 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.4943 | −0.626116 | ||||||||
\(695\) | 1.94386 | − | 0.413181i | 0.0737349 | − | 0.0156728i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.38433 | + | 3.28772i | −0.279702 | + | 0.124531i | ||||
\(698\) | −11.1615 | − | 2.37245i | −0.422470 | − | 0.0897987i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.28749 | − | 12.2497i | 0.0486627 | − | 0.462995i | ||||
\(701\) | −20.6731 | + | 15.0199i | −0.780814 | + | 0.567295i | −0.905223 | − | 0.424936i | \(-0.860296\pi\) |
0.124409 | + | 0.992231i | \(0.460296\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.26575 | −0.349464 | ||||||||
\(704\) | 7.17921 | − | 2.26467i | 0.270577 | − | 0.0853528i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.3642 | − | 13.7318i | −0.465333 | − | 0.516804i | ||||
\(707\) | 6.68990 | + | 63.6501i | 0.251600 | + | 2.39381i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −32.9303 | + | 36.5728i | −1.23672 | + | 1.37352i | −0.334414 | + | 0.942426i | \(0.608538\pi\) |
−0.902308 | + | 0.431093i | \(0.858128\pi\) | |||||||
\(710\) | 8.48379 | + | 26.1104i | 0.318391 | + | 0.979907i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.81912 | − | 4.95438i | 0.255557 | − | 0.185673i | ||||
\(713\) | −1.27482 | + | 0.270971i | −0.0477423 | + | 0.0101479i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.1794 | + | 26.7349i | −0.455485 | + | 0.999830i | ||||
\(716\) | 2.26083 | − | 3.91587i | 0.0844912 | − | 0.146343i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.8131 | − | 9.26658i | −0.776738 | − | 0.345826i | ||||
\(719\) | −22.4358 | − | 16.3006i | −0.836716 | − | 0.607910i | 0.0847354 | − | 0.996403i | \(-0.472995\pi\) |
−0.921451 | + | 0.388494i | \(0.872995\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.979948 | − | 3.01597i | −0.0364952 | − | 0.112321i | ||||
\(722\) | 3.47015 | − | 33.0163i | 0.129146 | − | 1.22874i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 17.7391 | + | 19.7013i | 0.659268 | + | 0.732192i | ||||
\(725\) | −4.59945 | + | 7.96648i | −0.170819 | + | 0.295868i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.95086 | + | 17.2354i | 0.369057 | + | 0.639225i | 0.989418 | − | 0.145091i | \(-0.0463474\pi\) |
−0.620361 | + | 0.784316i | \(0.713014\pi\) | |||||||
\(728\) | 7.99852 | − | 24.6169i | 0.296445 | − | 0.912364i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 29.3132 | + | 21.2973i | 1.08493 | + | 0.788247i | ||||
\(731\) | −29.3449 | + | 32.5908i | −1.08536 | + | 1.20541i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.3269 | + | 7.71441i | −0.639982 | + | 0.284938i | −0.700960 | − | 0.713201i | \(-0.747245\pi\) |
0.0609779 | + | 0.998139i | \(0.480578\pi\) | |||||||
\(734\) | −3.23486 | − | 30.7776i | −0.119401 | − | 1.13602i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.31407 | + | 5.74014i | 0.122158 | + | 0.211584i | ||||
\(737\) | 9.08432 | − | 0.875963i | 0.334625 | − | 0.0322665i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.0601 | + | 34.0394i | −0.406851 | + | 1.25216i | 0.512488 | + | 0.858694i | \(0.328724\pi\) |
−0.919339 | + | 0.393465i | \(0.871276\pi\) | |||||||
\(740\) | 20.5260 | + | 9.13876i | 0.754550 | + | 0.335947i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.26853 | + | 1.54497i | 0.266836 | + | 0.0567178i | ||||
\(743\) | 35.3547 | + | 7.51487i | 1.29704 | + | 0.275694i | 0.804165 | − | 0.594407i | \(-0.202613\pi\) |
0.492874 | + | 0.870101i | \(0.335946\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −31.3040 | − | 13.9375i | −1.14689 | − | 0.510629i | ||||
\(746\) | 5.38930 | − | 16.5865i | 0.197316 | − | 0.607277i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.63892 | + | 25.4518i | −0.206179 | + | 0.930611i | ||||
\(749\) | 3.72685 | + | 6.45510i | 0.136176 | + | 0.235864i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.910960 | − | 8.66720i | −0.0332414 | − | 0.316271i | −0.998490 | − | 0.0549368i | \(-0.982504\pi\) |
0.965248 | − | 0.261334i | \(-0.0841624\pi\) | |||||||
\(752\) | 26.2649 | − | 11.6939i | 0.957783 | − | 0.426432i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 27.1299 | − | 30.1308i | 0.988012 | − | 1.09730i | ||||
\(755\) | −0.176122 | − | 0.127960i | −0.00640974 | − | 0.00465695i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.0628 | − | 30.9702i | 0.365740 | − | 1.12563i | −0.583777 | − | 0.811914i | \(-0.698426\pi\) |
0.949516 | − | 0.313717i | \(-0.101574\pi\) | |||||||
\(758\) | 22.7465 | + | 39.3981i | 0.826191 | + | 1.43101i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.924849 | + | 1.60188i | −0.0335478 | + | 0.0581065i | ||||
\(761\) | 28.6218 | + | 31.7878i | 1.03754 | + | 1.15231i | 0.988145 | + | 0.153526i | \(0.0490630\pi\) |
0.0493962 | + | 0.998779i | \(0.484270\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.79618 | − | 64.6613i | 0.246038 | − | 2.34090i | ||||
\(764\) | −7.67451 | − | 23.6197i | −0.277654 | − | 0.854531i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −43.8924 | − | 31.8897i | −1.58590 | − | 1.15222i | ||||
\(767\) | 21.4892 | + | 9.56759i | 0.775928 | + | 0.345466i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.00465 | − | 3.47215i | 0.0722894 | − | 0.125209i | −0.827615 | − | 0.561296i | \(-0.810303\pi\) |
0.899904 | + | 0.436087i | \(0.143636\pi\) | |||||||
\(770\) | −36.5823 | + | 20.7038i | −1.31834 | + | 0.746114i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.1533 | − | 2.37070i | 0.401415 | − | 0.0853235i | ||||
\(773\) | 16.5649 | − | 12.0351i | 0.595798 | − | 0.432872i | −0.248587 | − | 0.968610i | \(-0.579966\pi\) |
0.844385 | + | 0.535737i | \(0.179966\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.877001 | − | 2.69913i | −0.0315028 | − | 0.0969556i | ||||
\(776\) | 2.77368 | − | 3.08049i | 0.0995694 | − | 0.110583i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.61277 | − | 24.8589i | −0.0936724 | − | 0.891234i | ||||
\(779\) | 0.871012 | + | 0.967357i | 0.0312073 | + | 0.0346592i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.6680 | + | 23.8837i | −0.632211 | + | 0.854626i | ||||
\(782\) | −10.7362 | −0.383924 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 39.8261 | − | 28.9354i | 1.42236 | − | 1.03341i | ||||
\(785\) | 0.697548 | − | 6.63672i | 0.0248966 | − | 0.236875i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −30.8381 | − | 6.55485i | −1.09926 | − | 0.233655i | −0.377646 | − | 0.925950i | \(-0.623266\pi\) |
−0.721615 | + | 0.692295i | \(0.756600\pi\) | |||||||
\(788\) | −32.9036 | + | 14.6496i | −1.17214 | + | 0.521871i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −33.4056 | + | 7.10057i | −1.18852 | + | 0.252627i | ||||
\(791\) | 49.2940 | 1.75269 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −58.6279 | −2.08194 | ||||||||
\(794\) | −43.3045 | + | 9.20465i | −1.53682 | + | 0.326661i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 18.8619 | − | 8.39786i | 0.668542 | − | 0.297654i | ||||
\(797\) | −7.26346 | − | 1.54390i | −0.257285 | − | 0.0546876i | 0.0774634 | − | 0.996995i | \(-0.475318\pi\) |
−0.334748 | + | 0.942308i | \(0.608651\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.57821 | + | 34.0444i | −0.126588 | + | 1.20440i | ||||
\(800\) | −11.6768 | + | 8.48368i | −0.412836 | + | 0.299943i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.7298 | 0.484815 | ||||||||
\(803\) | −0.336837 | + | 39.2067i | −0.0118867 | + | 1.38358i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.67688 | − | 5.19420i | −0.164838 | − | 0.183072i | ||||
\(806\) | 1.30754 | + | 12.4404i | 0.0460560 | + | 0.438193i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.2473 | − | 13.6020i | 0.430859 | − | 0.478517i | ||||
\(809\) | 2.53499 | + | 7.80189i | 0.0891254 | + | 0.274300i | 0.985678 | − | 0.168637i | \(-0.0539366\pi\) |
−0.896553 | + | 0.442937i | \(0.853937\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.7432 | − | 24.5159i | 1.18488 | − | 0.860868i | 0.192169 | − | 0.981362i | \(-0.438448\pi\) |
0.992714 | + | 0.120494i | \(0.0384477\pi\) | |||||||
\(812\) | 22.9104 | − | 4.86976i | 0.803998 | − | 0.170895i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.0137 | + | 59.0083i | 0.421080 | + | 2.06824i | ||||
\(815\) | −11.1488 | + | 19.3102i | −0.390525 | + | 0.676408i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.45184 | + | 2.87254i | 0.225721 | + | 0.100498i | ||||
\(818\) | 10.1605 | + | 7.38200i | 0.355252 | + | 0.258106i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.975414 | − | 3.00202i | −0.0340629 | − | 0.104835i | ||||
\(821\) | 2.33650 | − | 22.2303i | 0.0815443 | − | 0.775842i | −0.874974 | − | 0.484170i | \(-0.839122\pi\) |
0.956518 | − | 0.291672i | \(-0.0942117\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.1253 | − | 17.9090i | −0.562094 | − | 0.624269i | 0.393368 | − | 0.919381i | \(-0.371310\pi\) |
−0.955463 | + | 0.295112i | \(0.904643\pi\) | |||||||
\(824\) | −0.453457 | + | 0.785410i | −0.0157969 | + | 0.0273611i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 16.8282 | + | 29.1473i | 0.585528 | + | 1.01416i | ||||
\(827\) | −9.19763 | + | 28.3074i | −0.319833 | + | 0.984344i | 0.653886 | + | 0.756593i | \(0.273137\pi\) |
−0.973719 | + | 0.227752i | \(0.926863\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −9.13755 | − | 6.63882i | −0.317360 | − | 0.230576i | 0.417688 | − | 0.908591i | \(-0.362841\pi\) |
−0.735048 | + | 0.678015i | \(0.762841\pi\) | |||||||
\(830\) | 29.1605 | − | 32.3861i | 1.01218 | − | 1.12414i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 10.9754 | − | 4.88654i | 0.380502 | − | 0.169410i | ||||
\(833\) | 6.12676 | + | 58.2922i | 0.212279 | + | 2.01970i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.28207 | + | 9.14881i | 0.182793 | + | 0.316607i | ||||
\(836\) | 4.17876 | − | 0.402940i | 0.144525 | − | 0.0139360i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.69282 | + | 8.28763i | −0.0930218 | + | 0.286292i | ||||
\(839\) | −4.36415 | − | 1.94305i | −0.150667 | − | 0.0670814i | 0.330018 | − | 0.943975i | \(-0.392945\pi\) |
−0.480685 | + | 0.876893i | \(0.659612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.2560 | + | 2.39253i | 0.388137 | + | 0.0825010i | ||||
\(842\) | 4.36154 | + | 0.927074i | 0.150309 | + | 0.0319491i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 22.2607 | + | 9.91110i | 0.766245 | + | 0.341154i | ||||
\(845\) | −7.76575 | + | 23.9005i | −0.267150 | + | 0.822202i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −41.2297 | − | 19.2121i | −1.41667 | − | 0.660136i | ||||
\(848\) | −2.39140 | − | 4.14202i | −0.0821210 | − | 0.142238i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.44375 | − | 23.2508i | −0.0838201 | − | 0.797495i | ||||
\(851\) | −9.14746 | + | 4.07271i | −0.313571 | + | 0.139611i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.443703 | + | 0.492782i | −0.0151921 | + | 0.0168725i | −0.750693 | − | 0.660651i | \(-0.770280\pi\) |
0.735501 | + | 0.677524i | \(0.236947\pi\) | |||||||
\(854\) | −67.8641 | − | 49.3062i | −2.32226 | − | 1.68722i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.658718 | − | 2.02733i | 0.0225145 | − | 0.0692926i | ||||
\(857\) | 21.3432 | + | 36.9675i | 0.729069 | + | 1.26279i | 0.957277 | + | 0.289173i | \(0.0933802\pi\) |
−0.228207 | + | 0.973613i | \(0.573286\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.8694 | − | 50.0032i | 0.985010 | − | 1.70609i | 0.343119 | − | 0.939292i | \(-0.388517\pi\) |
0.641891 | − | 0.766796i | \(-0.278150\pi\) | |||||||
\(860\) | −11.4593 | − | 12.7268i | −0.390758 | − | 0.433981i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.181499 | + | 1.72685i | −0.00618188 | + | 0.0588167i | ||||
\(863\) | −4.56726 | − | 14.0566i | −0.155471 | − | 0.478492i | 0.842737 | − | 0.538326i | \(-0.180943\pi\) |
−0.998208 | + | 0.0598337i | \(0.980943\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −25.1355 | − | 18.2620i | −0.854633 | − | 0.620927i | ||||
\(866\) | 15.7821 | + | 7.02664i | 0.536298 | + | 0.238775i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.61310 | + | 6.25808i | −0.122637 | + | 0.212413i | ||||
\(869\) | −27.2503 | − | 24.9635i | −0.924403 | − | 0.846828i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.2469 | − | 3.02826i | 0.482737 | − | 0.102609i | ||||
\(872\) | −15.0429 | + | 10.9293i | −0.509418 | + | 0.370114i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.534274 | + | 1.64433i | 0.0180721 | + | 0.0556201i | ||||
\(875\) | 33.3364 | − | 37.0238i | 1.12698 | − | 1.25163i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.69287 | − | 44.6497i | −0.158467 | − | 1.50771i | −0.727905 | − | 0.685678i | \(-0.759506\pi\) |
0.569438 | − | 0.822034i | \(-0.307161\pi\) | |||||||
\(878\) | 11.4320 | + | 12.6965i | 0.385812 | + | 0.428488i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 25.6581 | + | 8.58120i | 0.864933 | + | 0.289272i | ||||
\(881\) | −6.57023 | −0.221357 | −0.110678 | − | 0.993856i | \(-0.535302\pi\) | ||||
−0.110678 | + | 0.993856i | \(0.535302\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.4843 | − | 20.6950i | 0.958572 | − | 0.696443i | 0.00575336 | − | 0.999983i | \(-0.498169\pi\) |
0.952819 | + | 0.303540i | \(0.0981686\pi\) | |||||||
\(884\) | −4.34882 | + | 41.3763i | −0.146267 | + | 1.39164i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 55.9452 | + | 11.8915i | 1.87951 | + | 0.399503i | ||||
\(887\) | 1.01093 | − | 0.450094i | 0.0339437 | − | 0.0151127i | −0.389695 | − | 0.920944i | \(-0.627419\pi\) |
0.423638 | + | 0.905831i | \(0.360753\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 40.6391 | − | 8.63810i | 1.36299 | − | 0.289713i | ||||
\(890\) | −21.8456 | −0.732266 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 16.9326 | 0.566946 | ||||||||
\(893\) | 5.39223 | − | 1.14615i | 0.180444 | − | 0.0383545i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.10431 | − | 2.27258i | 0.170618 | − | 0.0759641i | ||||
\(896\) | −36.2717 | − | 7.70979i | −1.21175 | − | 0.257566i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.73847 | + | 45.0835i | −0.158125 | + | 1.50446i | ||||
\(899\) | 4.36609 | − | 3.17215i | 0.145617 | − | 0.105797i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.69466 | 0.189717 | ||||||||
\(902\) | 5.03122 | − | 6.80123i | 0.167521 | − | 0.226456i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.43300 | − | 10.4764i | −0.313737 | − | 0.348440i | ||||
\(905\) | 3.42424 | + | 32.5795i | 0.113826 | + | 1.08298i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.46799 | − | 10.5153i | 0.314379 | − | 0.349154i | −0.565159 | − | 0.824982i | \(-0.691185\pi\) |
0.879538 | + | 0.475829i | \(0.157852\pi\) | |||||||
\(908\) | 10.8486 | + | 33.3884i | 0.360022 | + | 1.10803i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −54.2723 | + | 39.4311i | −1.79911 | + | 1.30713i | ||||
\(911\) | −44.0310 | + | 9.35908i | −1.45881 | + | 0.310080i | −0.867933 | − | 0.496681i | \(-0.834552\pi\) |
−0.590878 | + | 0.806761i | \(0.701219\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 46.8557 | + | 5.33210i | 1.55070 | + | 0.176467i | ||||
\(914\) | 13.0974 | − | 22.6854i | 0.433224 | − | 0.750367i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.79021 | − | 1.68751i | −0.125232 | − | 0.0557569i | ||||
\(917\) | 16.7880 | + | 12.1972i | 0.554390 | + | 0.402788i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.438782 | + | 1.35043i | 0.0144741 | + | 0.0445466i | 0.958033 | − | 0.286659i | \(-0.0925446\pi\) |
−0.943559 | + | 0.331206i | \(0.892545\pi\) | |||||||
\(920\) | −0.208942 | + | 1.98795i | −0.00688860 | + | 0.0655407i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −28.0240 | − | 31.1238i | −0.922921 | − | 1.02501i | ||||
\(923\) | −23.7062 | + | 41.0604i | −0.780300 | + | 1.35152i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.9022 | − | 18.8832i | −0.358462 | − | 0.620874i | ||||
\(926\) | −15.0671 | + | 46.3717i | −0.495135 | + | 1.52387i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −22.2045 | − | 16.1325i | −0.728898 | − | 0.529576i | ||||
\(929\) | 5.15429 | − | 5.72442i | 0.169107 | − | 0.187812i | −0.652634 | − | 0.757673i | \(-0.726336\pi\) |
0.821741 | + | 0.569861i | \(0.193003\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.62300 | − | 3.83921i | 0.282607 | − | 0.125825i | ||||
\(932\) | 0.0252129 | + | 0.239885i | 0.000825877 | + | 0.00785770i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −34.3261 | − | 59.4545i | −1.12318 | − | 1.94541i | ||||
\(935\) | −24.1233 | + | 21.3483i | −0.788917 | + | 0.698166i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.9680 | − | 49.1445i | 0.521652 | − | 1.60548i | −0.249191 | − | 0.968454i | \(-0.580165\pi\) |
0.770843 | − | 0.637025i | \(-0.219835\pi\) | |||||||
\(938\) | 19.0381 | + | 8.47631i | 0.621616 | + | 0.276761i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.0756 | − | 2.77930i | −0.426479 | − | 0.0906509i | ||||
\(941\) | −9.91567 | − | 2.10764i | −0.323242 | − | 0.0687072i | 0.0434330 | − | 0.999056i | \(-0.486170\pi\) |
−0.366675 | + | 0.930349i | \(0.619504\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.28509 | + | 0.572159i | 0.0418483 | + | 0.0186320i | ||||
\(944\) | 6.69406 | − | 20.6022i | 0.217873 | − | 0.670545i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.92833 | − | 44.8126i | 0.322798 | − | 1.45698i | ||||
\(947\) | 0.504393 | + | 0.873634i | 0.0163906 | + | 0.0283893i | 0.874104 | − | 0.485738i | \(-0.161449\pi\) |
−0.857714 | + | 0.514127i | \(0.828116\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.54070 | + | 62.2306i | 0.212320 | + | 2.02009i | ||||
\(950\) | −3.43942 | + | 1.53133i | −0.111590 | + | 0.0496829i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 18.9908 | − | 21.0914i | 0.615494 | − | 0.683575i | ||||
\(953\) | 7.67300 | + | 5.57476i | 0.248553 | + | 0.180584i | 0.705085 | − | 0.709123i | \(-0.250909\pi\) |
−0.456532 | + | 0.889707i | \(0.650909\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 9.48330 | − | 29.1866i | 0.306872 | − | 0.944456i | ||||
\(956\) | 4.34474 | + | 7.52530i | 0.140519 | + | 0.243386i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.28711 | + | 3.96139i | −0.0738932 | + | 0.127987i | ||||
\(959\) | 11.0842 | + | 12.3102i | 0.357926 | + | 0.397517i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.06634 | − | 29.1743i | 0.0989142 | − | 0.941106i | ||||
\(962\) | 29.6980 | + | 91.4011i | 0.957503 | + | 2.94689i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −16.3088 | − | 11.8490i | −0.525271 | − | 0.381632i | ||||
\(965\) | 12.8717 | + | 5.73087i | 0.414356 | + | 0.184483i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.0451 | − | 38.1833i | 0.708923 | − | 1.22789i | −0.256334 | − | 0.966588i | \(-0.582515\pi\) |
0.965257 | − | 0.261303i | \(-0.0841521\pi\) | |||||||
\(968\) | 3.80666 | + | 12.4390i | 0.122351 | + | 0.399804i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −10.5086 | + | 2.23366i | −0.337410 | + | 0.0717186i | ||||
\(971\) | −12.7768 | + | 9.28287i | −0.410026 | + | 0.297902i | −0.773612 | − | 0.633659i | \(-0.781552\pi\) |
0.363586 | + | 0.931561i | \(0.381552\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.51742 | + | 4.67014i | 0.0486463 | + | 0.149718i | ||||
\(974\) | 43.1026 | − | 47.8702i | 1.38110 | − | 1.53386i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.64361 | + | 53.6954i | 0.180648 | + | 1.71875i | ||||
\(977\) | −40.2067 | − | 44.6541i | −1.28633 | − | 1.42861i | −0.848182 | − | 0.529705i | \(-0.822303\pi\) |
−0.438144 | − | 0.898905i | \(-0.644364\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.7300 | − | 19.2433i | −0.438814 | − | 0.615018i | ||||
\(980\) | −22.8887 | −0.731153 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −52.7128 | + | 38.2981i | −1.68213 | + | 1.22214i | ||||
\(983\) | −4.26622 | + | 40.5904i | −0.136071 | + | 1.29463i | 0.686985 | + | 0.726672i | \(0.258934\pi\) |
−0.823056 | + | 0.567960i | \(0.807733\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −43.5338 | − | 9.25339i | −1.38710 | − | 0.294838i | ||||
\(986\) | 40.6136 | − | 18.0823i | 1.29340 | − | 0.575858i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.55351 | − | 1.39299i | 0.208495 | − | 0.0443170i | ||||
\(989\) | 7.63208 | 0.242686 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.3336 | −0.391791 | −0.195895 | − | 0.980625i | \(-0.562761\pi\) | ||||
−0.195895 | + | 0.980625i | \(0.562761\pi\) | |||||||
\(992\) | 8.28265 | − | 1.76053i | 0.262975 | − | 0.0558970i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −61.9728 | + | 27.5920i | −1.96566 | + | 0.875167i | ||||
\(995\) | 24.9556 | + | 5.30448i | 0.791146 | + | 0.168163i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.335377 | − | 3.19090i | 0.0106215 | − | 0.101057i | −0.987927 | − | 0.154922i | \(-0.950487\pi\) |
0.998548 | + | 0.0538651i | \(0.0171541\pi\) | |||||||
\(998\) | 8.99185 | − | 6.53296i | 0.284632 | − | 0.206797i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.n.f.757.1 | 32 | ||
3.2 | odd | 2 | 891.2.n.i.757.4 | 32 | |||
9.2 | odd | 6 | 891.2.n.i.460.1 | 32 | |||
9.4 | even | 3 | 297.2.f.d.163.4 | yes | 16 | ||
9.5 | odd | 6 | 297.2.f.a.163.1 | yes | 16 | ||
9.7 | even | 3 | inner | 891.2.n.f.460.4 | 32 | ||
11.5 | even | 5 | inner | 891.2.n.f.676.4 | 32 | ||
33.5 | odd | 10 | 891.2.n.i.676.1 | 32 | |||
99.4 | even | 15 | 3267.2.a.be.1.8 | 8 | |||
99.5 | odd | 30 | 297.2.f.a.82.1 | ✓ | 16 | ||
99.16 | even | 15 | inner | 891.2.n.f.379.1 | 32 | ||
99.38 | odd | 30 | 891.2.n.i.379.4 | 32 | |||
99.40 | odd | 30 | 3267.2.a.bl.1.1 | 8 | |||
99.49 | even | 15 | 297.2.f.d.82.4 | yes | 16 | ||
99.59 | odd | 30 | 3267.2.a.bm.1.1 | 8 | |||
99.95 | even | 30 | 3267.2.a.bf.1.8 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.f.a.82.1 | ✓ | 16 | 99.5 | odd | 30 | ||
297.2.f.a.163.1 | yes | 16 | 9.5 | odd | 6 | ||
297.2.f.d.82.4 | yes | 16 | 99.49 | even | 15 | ||
297.2.f.d.163.4 | yes | 16 | 9.4 | even | 3 | ||
891.2.n.f.379.1 | 32 | 99.16 | even | 15 | inner | ||
891.2.n.f.460.4 | 32 | 9.7 | even | 3 | inner | ||
891.2.n.f.676.4 | 32 | 11.5 | even | 5 | inner | ||
891.2.n.f.757.1 | 32 | 1.1 | even | 1 | trivial | ||
891.2.n.i.379.4 | 32 | 99.38 | odd | 30 | |||
891.2.n.i.460.1 | 32 | 9.2 | odd | 6 | |||
891.2.n.i.676.1 | 32 | 33.5 | odd | 10 | |||
891.2.n.i.757.4 | 32 | 3.2 | odd | 2 | |||
3267.2.a.be.1.8 | 8 | 99.4 | even | 15 | |||
3267.2.a.bf.1.8 | 8 | 99.95 | even | 30 | |||
3267.2.a.bl.1.1 | 8 | 99.40 | odd | 30 | |||
3267.2.a.bm.1.1 | 8 | 99.59 | odd | 30 |