Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(26,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.26");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.l (of order \(10\), degree \(4\), 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: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 53.5 | ||
Character | \(\chi\) | \(=\) | 99.53 |
Dual form | 99.3.l.a.71.5 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.296118 | + | 0.0962144i | 0.148059 | + | 0.0481072i | 0.382109 | − | 0.924117i | \(-0.375198\pi\) |
−0.234050 | + | 0.972225i | \(0.575198\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.15764 | − | 2.29416i | −0.789410 | − | 0.573540i | ||||
\(5\) | −5.65537 | + | 1.83754i | −1.13107 | + | 0.367508i | −0.813984 | − | 0.580887i | \(-0.802706\pi\) |
−0.317090 | + | 0.948396i | \(0.602706\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −7.01499 | − | 5.09669i | −1.00214 | − | 0.728099i | −0.0395956 | − | 0.999216i | \(-0.512607\pi\) |
−0.962546 | + | 0.271117i | \(0.912607\pi\) | |||||||
\(8\) | −1.44634 | − | 1.99072i | −0.180793 | − | 0.248840i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.85145 | −0.185145 | ||||||||
\(11\) | −0.122358 | + | 10.9993i | −0.0111235 | + | 0.999938i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.77807 | − | 17.7831i | 0.444467 | − | 1.36793i | −0.438601 | − | 0.898682i | \(-0.644526\pi\) |
0.883067 | − | 0.469246i | \(-0.155474\pi\) | |||||||
\(14\) | −1.58689 | − | 2.18416i | −0.113349 | − | 0.156012i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.58769 | + | 14.1195i | 0.286731 | + | 0.882467i | ||||
\(17\) | −9.12965 | + | 2.96640i | −0.537038 | + | 0.174494i | −0.564964 | − | 0.825116i | \(-0.691110\pi\) |
0.0279257 | + | 0.999610i | \(0.491110\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.66262 | + | 3.38759i | −0.245401 | + | 0.178294i | −0.703686 | − | 0.710511i | \(-0.748464\pi\) |
0.458285 | + | 0.888805i | \(0.348464\pi\) | |||||||
\(20\) | 22.0732 | + | 7.17203i | 1.10366 | + | 0.358601i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.09453 | + | 3.24532i | −0.0497512 | + | 0.147514i | ||||
\(23\) | − | 41.5830i | − | 1.80796i | −0.427578 | − | 0.903979i | \(-0.640633\pi\) | ||
0.427578 | − | 0.903979i | \(-0.359367\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.38122 | − | 6.08931i | 0.335249 | − | 0.243572i | ||||
\(26\) | 3.42197 | − | 4.70994i | 0.131614 | − | 0.181152i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 10.4582 | + | 32.1870i | 0.373507 | + | 1.14954i | ||||
\(29\) | −10.2118 | + | 14.0553i | −0.352129 | + | 0.484665i | −0.947935 | − | 0.318464i | \(-0.896833\pi\) |
0.595805 | + | 0.803129i | \(0.296833\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.22647 | + | 13.0077i | −0.136338 | + | 0.419604i | −0.995796 | − | 0.0916020i | \(-0.970801\pi\) |
0.859458 | + | 0.511206i | \(0.170801\pi\) | |||||||
\(32\) | 14.4651i | 0.452034i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.98886 | −0.0879076 | ||||||||
\(35\) | 49.0378 | + | 15.9333i | 1.40108 | + | 0.455238i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.83617 | + | 4.24023i | 0.157734 | + | 0.114601i | 0.663853 | − | 0.747863i | \(-0.268920\pi\) |
−0.506118 | + | 0.862464i | \(0.668920\pi\) | |||||||
\(38\) | −1.70662 | + | 0.554514i | −0.0449110 | + | 0.0145925i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 11.8376 | + | 8.60055i | 0.295941 | + | 0.215014i | ||||
\(41\) | −31.2326 | − | 42.9880i | −0.761771 | − | 1.04849i | −0.997065 | − | 0.0765632i | \(-0.975605\pi\) |
0.235294 | − | 0.971924i | \(-0.424395\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 43.3682 | 1.00856 | 0.504282 | − | 0.863539i | \(-0.331757\pi\) | ||||
0.504282 | + | 0.863539i | \(0.331757\pi\) | |||||||
\(44\) | 25.6206 | − | 34.4512i | 0.582285 | − | 0.782981i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.00089 | − | 12.3135i | 0.0869758 | − | 0.267684i | ||||
\(47\) | 11.0762 | + | 15.2451i | 0.235663 | + | 0.324363i | 0.910426 | − | 0.413672i | \(-0.135754\pi\) |
−0.674763 | + | 0.738035i | \(0.735754\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 8.09204 | + | 24.9047i | 0.165144 | + | 0.508260i | ||||
\(50\) | 3.06770 | − | 0.996758i | 0.0613541 | − | 0.0199352i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −59.0422 | + | 42.8967i | −1.13543 | + | 0.824937i | ||||
\(53\) | −51.8817 | − | 16.8574i | −0.978899 | − | 0.318064i | −0.224496 | − | 0.974475i | \(-0.572074\pi\) |
−0.754403 | + | 0.656411i | \(0.772074\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −19.5197 | − | 62.4300i | −0.354904 | − | 1.13509i | ||||
\(56\) | 21.3365i | 0.381008i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.37620 | + | 3.17949i | −0.0754517 | + | 0.0548189i | ||||
\(59\) | −20.7671 | + | 28.5835i | −0.351985 | + | 0.484466i | −0.947894 | − | 0.318586i | \(-0.896792\pi\) |
0.595909 | + | 0.803052i | \(0.296792\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −36.4184 | − | 112.084i | −0.597023 | − | 1.83745i | −0.544387 | − | 0.838834i | \(-0.683238\pi\) |
−0.0526365 | − | 0.998614i | \(-0.516762\pi\) | |||||||
\(62\) | −2.50306 | + | 3.44517i | −0.0403720 | + | 0.0555673i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 16.9590 | − | 52.1945i | 0.264985 | − | 0.815539i | ||||
\(65\) | 111.187i | 1.71057i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −91.5111 | −1.36584 | −0.682919 | − | 0.730494i | \(-0.739290\pi\) | ||||
−0.682919 | + | 0.730494i | \(0.739290\pi\) | |||||||
\(68\) | 35.6335 | + | 11.5780i | 0.524022 | + | 0.170265i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.9879 | + | 9.43628i | 0.185542 | + | 0.134804i | ||||
\(71\) | −110.147 | + | 35.7890i | −1.55137 | + | 0.504070i | −0.954485 | − | 0.298258i | \(-0.903594\pi\) |
−0.596883 | + | 0.802328i | \(0.703594\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 42.8336 | + | 31.1204i | 0.586762 | + | 0.426307i | 0.841156 | − | 0.540793i | \(-0.181876\pi\) |
−0.254394 | + | 0.967101i | \(0.581876\pi\) | |||||||
\(74\) | 1.32022 | + | 1.81713i | 0.0178408 | + | 0.0245558i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 22.4946 | 0.295981 | ||||||||
\(77\) | 56.9185 | − | 76.5365i | 0.739201 | − | 0.993981i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.633214 | − | 1.94883i | 0.00801537 | − | 0.0246688i | −0.946969 | − | 0.321325i | \(-0.895872\pi\) |
0.954984 | + | 0.296657i | \(0.0958717\pi\) | |||||||
\(80\) | −51.8902 | − | 71.4207i | −0.648627 | − | 0.892759i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.11246 | − | 15.7345i | −0.0623470 | − | 0.191884i | ||||
\(83\) | 27.4089 | − | 8.90568i | 0.330227 | − | 0.107297i | −0.139211 | − | 0.990263i | \(-0.544457\pi\) |
0.469438 | + | 0.882965i | \(0.344457\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 46.1806 | − | 33.5522i | 0.543302 | − | 0.394732i | ||||
\(86\) | 12.8421 | + | 4.17265i | 0.149327 | + | 0.0485192i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 22.0736 | − | 15.6652i | 0.250836 | − | 0.178014i | ||||
\(89\) | − | 134.980i | − | 1.51663i | −0.651891 | − | 0.758313i | \(-0.726024\pi\) | ||
0.651891 | − | 0.758313i | \(-0.273976\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −131.168 | + | 95.2991i | −1.44141 | + | 1.04724i | ||||
\(92\) | −95.3981 | + | 131.304i | −1.03694 | + | 1.42722i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.81306 | + | 5.58001i | 0.0192878 | + | 0.0593619i | ||||
\(95\) | 20.1440 | − | 27.7259i | 0.212042 | − | 0.291851i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.08284 | + | 9.48799i | −0.0317818 | + | 0.0978144i | −0.965689 | − | 0.259701i | \(-0.916376\pi\) |
0.933907 | + | 0.357515i | \(0.116376\pi\) | |||||||
\(98\) | 8.15330i | 0.0831970i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −40.4347 | −0.404347 | ||||||||
\(101\) | 163.987 | + | 53.2825i | 1.62363 | + | 0.527550i | 0.972795 | − | 0.231668i | \(-0.0744182\pi\) |
0.650837 | + | 0.759218i | \(0.274418\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 91.9355 | + | 66.7951i | 0.892578 | + | 0.648496i | 0.936549 | − | 0.350537i | \(-0.114001\pi\) |
−0.0439711 | + | 0.999033i | \(0.514001\pi\) | |||||||
\(104\) | −43.7582 | + | 14.2179i | −0.420752 | + | 0.136711i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.7411 | − | 9.98353i | −0.129633 | − | 0.0941842i | ||||
\(107\) | 48.8875 | + | 67.2879i | 0.456893 | + | 0.628859i | 0.973861 | − | 0.227146i | \(-0.0729395\pi\) |
−0.516968 | + | 0.856005i | \(0.672939\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 125.432 | 1.15075 | 0.575377 | − | 0.817888i | \(-0.304855\pi\) | ||||
0.575377 | + | 0.817888i | \(0.304855\pi\) | |||||||
\(110\) | 0.226540 | − | 20.3647i | 0.00205945 | − | 0.185134i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 39.7799 | − | 122.430i | 0.355178 | − | 1.09313i | ||||
\(113\) | −59.4756 | − | 81.8612i | −0.526333 | − | 0.724435i | 0.460233 | − | 0.887798i | \(-0.347766\pi\) |
−0.986566 | + | 0.163363i | \(0.947766\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 76.4105 | + | 235.167i | 0.664439 | + | 2.04493i | ||||
\(116\) | 64.4901 | − | 20.9541i | 0.555949 | − | 0.180639i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.89966 | + | 6.46598i | −0.0754208 | + | 0.0547964i | ||||
\(119\) | 79.1632 | + | 25.7217i | 0.665237 | + | 0.216149i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −120.970 | − | 2.69171i | −0.999753 | − | 0.0222455i | ||||
\(122\) | − | 36.6941i | − | 0.300771i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 43.1875 | − | 31.3775i | 0.348286 | − | 0.253045i | ||||
\(125\) | 51.1707 | − | 70.4305i | 0.409366 | − | 0.563444i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 38.3169 | + | 117.927i | 0.301708 | + | 0.928561i | 0.980885 | + | 0.194587i | \(0.0623366\pi\) |
−0.679178 | + | 0.733974i | \(0.737663\pi\) | |||||||
\(128\) | 44.0532 | − | 60.6340i | 0.344166 | − | 0.473703i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.6978 | + | 32.9245i | −0.0822909 | + | 0.253265i | ||||
\(131\) | 52.5607i | 0.401227i | 0.979670 | + | 0.200614i | \(0.0642935\pi\) | ||||
−0.979670 | + | 0.200614i | \(0.935706\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 49.9738 | 0.375743 | ||||||||
\(134\) | −27.0980 | − | 8.80469i | −0.202224 | − | 0.0657066i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 19.1099 | + | 13.8841i | 0.140514 | + | 0.102089i | ||||
\(137\) | −119.626 | + | 38.8689i | −0.873185 | + | 0.283715i | −0.711125 | − | 0.703066i | \(-0.751814\pi\) |
−0.162060 | + | 0.986781i | \(0.551814\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −43.4005 | − | 31.5323i | −0.312234 | − | 0.226851i | 0.420620 | − | 0.907237i | \(-0.361812\pi\) |
−0.732855 | + | 0.680385i | \(0.761812\pi\) | |||||||
\(140\) | −118.290 | − | 162.812i | −0.844928 | − | 1.16294i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −36.0599 | −0.253943 | ||||||||
\(143\) | 194.895 | + | 65.7307i | 1.36290 | + | 0.459655i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 31.9241 | − | 98.2523i | 0.220166 | − | 0.677602i | ||||
\(146\) | 9.68955 | + | 13.3365i | 0.0663668 | + | 0.0913460i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.70077 | − | 26.7782i | −0.0587890 | − | 0.180934i | ||||
\(149\) | 4.02993 | − | 1.30940i | 0.0270465 | − | 0.00878795i | −0.295462 | − | 0.955354i | \(-0.595474\pi\) |
0.322509 | + | 0.946566i | \(0.395474\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −76.3610 | + | 55.4795i | −0.505702 | + | 0.367414i | −0.811191 | − | 0.584782i | \(-0.801180\pi\) |
0.305489 | + | 0.952196i | \(0.401180\pi\) | |||||||
\(152\) | 13.4875 | + | 4.38236i | 0.0887336 | + | 0.0288313i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 24.2185 | − | 17.1874i | 0.157263 | − | 0.111607i | ||||
\(155\) | − | 81.3299i | − | 0.524709i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 120.287 | − | 87.3939i | 0.766162 | − | 0.556649i | −0.134632 | − | 0.990896i | \(-0.542985\pi\) |
0.900794 | + | 0.434247i | \(0.142985\pi\) | |||||||
\(158\) | 0.375011 | − | 0.516159i | 0.00237349 | − | 0.00326683i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −26.5802 | − | 81.8054i | −0.166126 | − | 0.511284i | ||||
\(161\) | −211.936 | + | 291.705i | −1.31637 | + | 1.81183i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −28.3527 | + | 87.2606i | −0.173943 | + | 0.535341i | −0.999584 | − | 0.0288552i | \(-0.990814\pi\) |
0.825641 | + | 0.564196i | \(0.190814\pi\) | |||||||
\(164\) | 207.393i | 1.26459i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.97310 | 0.0540548 | ||||||||
\(167\) | 13.5693 | + | 4.40895i | 0.0812536 | + | 0.0264009i | 0.349362 | − | 0.936988i | \(-0.386398\pi\) |
−0.268108 | + | 0.963389i | \(0.586398\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −146.127 | − | 106.168i | −0.864660 | − | 0.628212i | ||||
\(170\) | 16.9031 | − | 5.49215i | 0.0994300 | − | 0.0323068i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −136.941 | − | 99.4936i | −0.796170 | − | 0.578451i | ||||
\(173\) | −136.531 | − | 187.919i | −0.789197 | − | 1.08624i | −0.994208 | − | 0.107476i | \(-0.965723\pi\) |
0.205011 | − | 0.978760i | \(-0.434277\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −89.8295 | −0.513312 | ||||||||
\(176\) | −155.866 | + | 48.7339i | −0.885601 | + | 0.276897i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 12.9870 | − | 39.9698i | 0.0729606 | − | 0.224550i | ||||
\(179\) | 84.4401 | + | 116.222i | 0.471733 | + | 0.649284i | 0.976890 | − | 0.213743i | \(-0.0685655\pi\) |
−0.505157 | + | 0.863027i | \(0.668566\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −74.0732 | − | 227.974i | −0.409244 | − | 1.25952i | −0.917299 | − | 0.398199i | \(-0.869635\pi\) |
0.508055 | − | 0.861324i | \(-0.330365\pi\) | |||||||
\(182\) | −48.0103 | + | 15.5995i | −0.263793 | + | 0.0857114i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −82.7802 | + | 60.1433i | −0.449892 | + | 0.326866i | ||||
\(185\) | −40.7973 | − | 13.2558i | −0.220526 | − | 0.0716532i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −31.5113 | − | 100.783i | −0.168510 | − | 0.538946i | ||||
\(188\) | − | 73.5489i | − | 0.391218i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.63262 | − | 6.27197i | 0.0454349 | − | 0.0330104i | ||||
\(191\) | 22.0606 | − | 30.3638i | 0.115501 | − | 0.158973i | −0.747352 | − | 0.664428i | \(-0.768675\pi\) |
0.862853 | + | 0.505455i | \(0.168675\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 62.9072 | + | 193.608i | 0.325944 | + | 1.00315i | 0.971013 | + | 0.239028i | \(0.0768288\pi\) |
−0.645069 | + | 0.764125i | \(0.723171\pi\) | |||||||
\(194\) | −1.82576 | + | 2.51295i | −0.00941115 | + | 0.0129533i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 31.5837 | − | 97.2047i | 0.161141 | − | 0.495942i | ||||
\(197\) | − | 208.477i | − | 1.05826i | −0.848541 | − | 0.529129i | \(-0.822519\pi\) | ||
0.848541 | − | 0.529129i | \(-0.177481\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −249.874 | −1.25565 | −0.627825 | − | 0.778355i | \(-0.716055\pi\) | ||||
−0.627825 | + | 0.778355i | \(0.716055\pi\) | |||||||
\(200\) | −24.2442 | − | 7.87743i | −0.121221 | − | 0.0393872i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 43.4328 | + | 31.5558i | 0.215014 | + | 0.156217i | ||||
\(203\) | 143.271 | − | 46.5515i | 0.705767 | − | 0.229318i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 255.624 | + | 185.722i | 1.24695 | + | 0.905960i | ||||
\(206\) | 20.7971 | + | 28.6247i | 0.100957 | + | 0.138955i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 277.595 | 1.33459 | ||||||||
\(209\) | −36.6907 | − | 51.7002i | −0.175554 | − | 0.247369i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 37.5620 | − | 115.604i | 0.178019 | − | 0.547885i | −0.821740 | − | 0.569863i | \(-0.806996\pi\) |
0.999758 | + | 0.0219776i | \(0.00699627\pi\) | |||||||
\(212\) | 125.150 | + | 172.254i | 0.590331 | + | 0.812520i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.00238 | + | 24.6288i | 0.0373943 | + | 0.115088i | ||||
\(215\) | −245.263 | + | 79.6909i | −1.14076 | + | 0.370655i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 95.9451 | − | 69.7082i | 0.442143 | − | 0.321236i | ||||
\(218\) | 37.1427 | + | 12.0684i | 0.170379 | + | 0.0553595i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −81.5883 | + | 241.913i | −0.370856 | + | 1.09960i | ||||
\(221\) | 179.493i | 0.812186i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 58.0972 | − | 42.2101i | 0.260526 | − | 0.189283i | −0.449853 | − | 0.893103i | \(-0.648524\pi\) |
0.710379 | + | 0.703820i | \(0.248524\pi\) | |||||||
\(224\) | 73.7241 | − | 101.473i | 0.329125 | − | 0.453002i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.73555 | − | 29.9629i | −0.0430776 | − | 0.132579i | ||||
\(227\) | 137.568 | − | 189.346i | 0.606028 | − | 0.834125i | −0.390216 | − | 0.920723i | \(-0.627600\pi\) |
0.996243 | + | 0.0865981i | \(0.0275996\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 21.0536 | − | 64.7964i | 0.0919372 | − | 0.282954i | −0.894506 | − | 0.447056i | \(-0.852473\pi\) |
0.986443 | + | 0.164102i | \(0.0524726\pi\) | |||||||
\(230\) | 76.9889i | 0.334735i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 42.7498 | 0.184267 | ||||||||
\(233\) | 101.511 | + | 32.9829i | 0.435669 | + | 0.141558i | 0.518637 | − | 0.854995i | \(-0.326440\pi\) |
−0.0829673 | + | 0.996552i | \(0.526440\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −90.6533 | − | 65.8635i | −0.385759 | − | 0.280270i | ||||
\(236\) | 131.150 | − | 42.6133i | 0.555721 | − | 0.180565i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 20.9668 | + | 15.2333i | 0.0880959 | + | 0.0640054i | ||||
\(239\) | 204.895 | + | 282.014i | 0.857302 | + | 1.17997i | 0.982206 | + | 0.187806i | \(0.0601377\pi\) |
−0.124904 | + | 0.992169i | \(0.539862\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −377.429 | −1.56609 | −0.783047 | − | 0.621962i | \(-0.786336\pi\) | ||||
−0.783047 | + | 0.621962i | \(0.786336\pi\) | |||||||
\(242\) | −35.5624 | − | 12.4361i | −0.146952 | − | 0.0513889i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −142.143 | + | 437.472i | −0.582554 | + | 1.79292i | ||||
\(245\) | −91.5270 | − | 125.976i | −0.373580 | − | 0.514188i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 33.3009 | + | 102.489i | 0.134821 | + | 0.414937i | ||||
\(248\) | 32.0077 | − | 10.3999i | 0.129063 | − | 0.0419352i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 21.9290 | − | 15.9323i | 0.0877159 | − | 0.0637293i | ||||
\(251\) | −286.896 | − | 93.2182i | −1.14301 | − | 0.371387i | −0.324506 | − | 0.945884i | \(-0.605198\pi\) |
−0.818507 | + | 0.574497i | \(0.805198\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 457.385 | + | 5.08802i | 1.80785 | + | 0.0201107i | ||||
\(254\) | 38.6069i | 0.151996i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −158.718 | + | 115.316i | −0.619994 | + | 0.450452i | ||||
\(257\) | 8.80297 | − | 12.1162i | 0.0342528 | − | 0.0471449i | −0.791547 | − | 0.611108i | \(-0.790724\pi\) |
0.825800 | + | 0.563963i | \(0.190724\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −19.3296 | − | 59.4903i | −0.0746316 | − | 0.229692i | ||||
\(260\) | 255.081 | − | 351.089i | 0.981082 | − | 1.35034i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.05710 | + | 15.5642i | −0.0193019 | + | 0.0594052i | ||||
\(263\) | − | 470.671i | − | 1.78962i | −0.446443 | − | 0.894812i | \(-0.647309\pi\) | ||
0.446443 | − | 0.894812i | \(-0.352691\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 324.386 | 1.22410 | ||||||||
\(266\) | 14.7981 | + | 4.80820i | 0.0556320 | + | 0.0180759i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 288.959 | + | 209.941i | 1.07821 | + | 0.783362i | ||||
\(269\) | −190.046 | + | 61.7497i | −0.706491 | + | 0.229553i | −0.640156 | − | 0.768245i | \(-0.721130\pi\) |
−0.0663343 | + | 0.997797i | \(0.521130\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 70.6026 | + | 51.2958i | 0.260526 | + | 0.189283i | 0.710379 | − | 0.703819i | \(-0.248524\pi\) |
−0.449853 | + | 0.893103i | \(0.648524\pi\) | |||||||
\(272\) | −83.7680 | − | 115.297i | −0.307971 | − | 0.423885i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −39.1632 | −0.142931 | ||||||||
\(275\) | 65.9528 | + | 92.9328i | 0.239828 | + | 0.337937i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −92.4637 | + | 284.574i | −0.333804 | + | 1.02734i | 0.633504 | + | 0.773739i | \(0.281616\pi\) |
−0.967308 | + | 0.253604i | \(0.918384\pi\) | |||||||
\(278\) | −9.81780 | − | 13.5130i | −0.0353158 | − | 0.0486080i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −39.2066 | − | 120.666i | −0.140024 | − | 0.430949i | ||||
\(281\) | 284.085 | − | 92.3049i | 1.01098 | − | 0.328487i | 0.243735 | − | 0.969842i | \(-0.421627\pi\) |
0.767245 | + | 0.641354i | \(0.221627\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 165.458 | − | 120.212i | 0.584656 | − | 0.424777i | −0.255744 | − | 0.966745i | \(-0.582320\pi\) |
0.840400 | + | 0.541967i | \(0.182320\pi\) | |||||||
\(284\) | 429.911 | + | 139.686i | 1.51377 | + | 0.491854i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 51.3875 | + | 38.2157i | 0.179676 | + | 0.133621i | ||||
\(287\) | 460.743i | 1.60538i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −159.255 | + | 115.706i | −0.551055 | + | 0.400365i | ||||
\(290\) | 18.9066 | − | 26.0227i | 0.0651951 | − | 0.0897333i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −63.8579 | − | 196.534i | −0.218691 | − | 0.673063i | ||||
\(293\) | −60.4497 | + | 83.2019i | −0.206313 | + | 0.283965i | −0.899617 | − | 0.436680i | \(-0.856154\pi\) |
0.693304 | + | 0.720645i | \(0.256154\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 64.9224 | − | 199.811i | 0.220076 | − | 0.677324i | ||||
\(296\) | − | 17.7510i | − | 0.0599697i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.31932 | 0.00442724 | ||||||||
\(299\) | −739.473 | − | 240.270i | −2.47316 | − | 0.803577i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −304.228 | − | 221.035i | −1.01072 | − | 0.734334i | ||||
\(302\) | −27.9497 | + | 9.08142i | −0.0925488 | + | 0.0300709i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −69.2217 | − | 50.2925i | −0.227703 | − | 0.165436i | ||||
\(305\) | 411.919 | + | 566.958i | 1.35055 | + | 1.85888i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 39.5643 | 0.128874 | 0.0644369 | − | 0.997922i | \(-0.479475\pi\) | ||||
0.0644369 | + | 0.997922i | \(0.479475\pi\) | |||||||
\(308\) | −355.315 | + | 111.095i | −1.15362 | + | 0.360697i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.82510 | − | 24.0832i | 0.0252423 | − | 0.0776877i | ||||
\(311\) | −81.9693 | − | 112.821i | −0.263567 | − | 0.362769i | 0.656638 | − | 0.754206i | \(-0.271978\pi\) |
−0.920205 | + | 0.391437i | \(0.871978\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −69.8621 | − | 215.013i | −0.223201 | − | 0.686943i | −0.998469 | − | 0.0553107i | \(-0.982385\pi\) |
0.775268 | − | 0.631633i | \(-0.217615\pi\) | |||||||
\(314\) | 44.0278 | − | 14.3055i | 0.140216 | − | 0.0455589i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.47039 | + | 4.70102i | −0.0204759 | + | 0.0148766i | ||||
\(317\) | −334.945 | − | 108.830i | −1.05661 | − | 0.343313i | −0.271350 | − | 0.962481i | \(-0.587470\pi\) |
−0.785259 | + | 0.619167i | \(0.787470\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −153.349 | − | 114.042i | −0.480718 | − | 0.357499i | ||||
\(320\) | 326.342i | 1.01982i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −90.8241 | + | 65.9876i | −0.282062 | + | 0.204930i | ||||
\(323\) | 32.5191 | − | 44.7587i | 0.100678 | − | 0.138572i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −59.8594 | − | 184.228i | −0.184183 | − | 0.566856i | ||||
\(326\) | −16.7914 | + | 23.1114i | −0.0515075 | + | 0.0708940i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −40.4040 | + | 124.351i | −0.123183 | + | 0.379118i | ||||
\(329\) | − | 163.396i | − | 0.496644i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −84.8580 | −0.256369 | −0.128184 | − | 0.991750i | \(-0.540915\pi\) | ||||
−0.128184 | + | 0.991750i | \(0.540915\pi\) | |||||||
\(332\) | −106.978 | − | 34.7594i | −0.322224 | − | 0.104697i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.59392 | + | 2.61113i | 0.0107602 | + | 0.00781776i | ||||
\(335\) | 517.529 | − | 168.155i | 1.54486 | − | 0.501956i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −426.493 | − | 309.865i | −1.26556 | − | 0.919482i | −0.266542 | − | 0.963823i | \(-0.585881\pi\) |
−0.999016 | + | 0.0443415i | \(0.985881\pi\) | |||||||
\(338\) | −33.0560 | − | 45.4977i | −0.0977989 | − | 0.134609i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −222.796 | −0.655282 | ||||||||
\(341\) | −142.559 | − | 48.0799i | −0.418062 | − | 0.140997i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −61.1288 | + | 188.135i | −0.178218 | + | 0.548499i | ||||
\(344\) | −62.7254 | − | 86.3341i | −0.182341 | − | 0.250971i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −22.3487 | − | 68.7823i | −0.0645917 | − | 0.198793i | ||||
\(347\) | −120.136 | + | 39.0345i | −0.346212 | + | 0.112491i | −0.476961 | − | 0.878924i | \(-0.658262\pi\) |
0.130749 | + | 0.991416i | \(0.458262\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 365.235 | − | 265.359i | 1.04652 | − | 0.760340i | 0.0749713 | − | 0.997186i | \(-0.476113\pi\) |
0.971547 | + | 0.236845i | \(0.0761135\pi\) | |||||||
\(350\) | −26.6001 | − | 8.64290i | −0.0760003 | − | 0.0246940i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −159.106 | − | 1.76992i | −0.452006 | − | 0.00502818i | ||||
\(353\) | − | 145.710i | − | 0.412775i | −0.978470 | − | 0.206388i | \(-0.933829\pi\) | ||
0.978470 | − | 0.206388i | \(-0.0661708\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 557.159 | − | 404.800i | 1.56946 | − | 1.14028i | ||||
\(356\) | −309.665 | + | 426.217i | −0.869845 | + | 1.19724i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.8220 | + | 42.5397i | 0.0386089 | + | 0.118826i | ||||
\(359\) | −252.282 | + | 347.237i | −0.702736 | + | 0.967233i | 0.297187 | + | 0.954819i | \(0.403952\pi\) |
−0.999923 | + | 0.0124137i | \(0.996048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −101.291 | + | 311.741i | −0.280584 | + | 0.863549i | ||||
\(362\) | − | 74.6339i | − | 0.206171i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 632.812 | 1.73850 | ||||||||
\(365\) | −299.425 | − | 97.2891i | −0.820342 | − | 0.266545i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −107.083 | − | 77.8000i | −0.291778 | − | 0.211989i | 0.432260 | − | 0.901749i | \(-0.357716\pi\) |
−0.724038 | + | 0.689760i | \(0.757716\pi\) | |||||||
\(368\) | 587.130 | − | 190.770i | 1.59546 | − | 0.518397i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.8054 | − | 7.85058i | −0.0292038 | − | 0.0212178i | ||||
\(371\) | 278.033 | + | 382.679i | 0.749414 | + | 1.03148i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −478.180 | −1.28198 | −0.640992 | − | 0.767547i | \(-0.721477\pi\) | ||||
−0.640992 | + | 0.767547i | \(0.721477\pi\) | |||||||
\(374\) | 0.365711 | − | 32.8754i | 0.000977837 | − | 0.0879022i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 14.3287 | − | 44.0992i | 0.0381082 | − | 0.117285i | ||||
\(377\) | 190.942 | + | 262.809i | 0.506476 | + | 0.697105i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −81.6441 | − | 251.275i | −0.215420 | − | 0.662994i | −0.999124 | − | 0.0418592i | \(-0.986672\pi\) |
0.783704 | − | 0.621135i | \(-0.213328\pi\) | |||||||
\(380\) | −127.215 | + | 41.3347i | −0.334777 | + | 0.108775i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.45396 | − | 6.86871i | 0.0247486 | − | 0.0179809i | ||||
\(383\) | −224.859 | − | 73.0612i | −0.587100 | − | 0.190760i | 0.000379005 | − | 1.00000i | \(-0.499879\pi\) |
−0.587479 | + | 0.809240i | \(0.699879\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −181.256 | + | 537.432i | −0.470795 | + | 1.39593i | ||||
\(386\) | 63.3834i | 0.164206i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 31.5015 | − | 22.8871i | 0.0811893 | − | 0.0589875i | ||||
\(389\) | 300.486 | − | 413.583i | 0.772457 | − | 1.06320i | −0.223617 | − | 0.974677i | \(-0.571787\pi\) |
0.996074 | − | 0.0885193i | \(-0.0282135\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 123.352 | + | 379.638i | 0.315478 | + | 0.970942i | ||||
\(392\) | 37.8745 | − | 52.1298i | 0.0966187 | − | 0.132984i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 20.0585 | − | 61.7336i | 0.0509098 | − | 0.156684i | ||||
\(395\) | 12.1849i | 0.0308479i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 389.224 | 0.980413 | 0.490207 | − | 0.871606i | \(-0.336921\pi\) | ||||
0.490207 | + | 0.871606i | \(0.336921\pi\) | |||||||
\(398\) | −73.9921 | − | 24.0415i | −0.185910 | − | 0.0604058i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 124.428 | + | 90.4024i | 0.311071 | + | 0.226006i | ||||
\(401\) | 214.986 | − | 69.8532i | 0.536125 | − | 0.174198i | −0.0284257 | − | 0.999596i | \(-0.509049\pi\) |
0.564551 | + | 0.825398i | \(0.309049\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 206.897 | + | 150.319i | 0.513391 | + | 0.373000i | ||||
\(404\) | −395.573 | − | 544.459i | −0.979140 | − | 1.34767i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 46.9039 | 0.115527 | ||||||||
\(407\) | −47.3537 | + | 63.6751i | −0.116348 | + | 0.156450i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −56.1688 | + | 172.870i | −0.137332 | + | 0.422664i | −0.995945 | − | 0.0899593i | \(-0.971326\pi\) |
0.858614 | + | 0.512623i | \(0.171326\pi\) | |||||||
\(410\) | 57.8256 | + | 79.5902i | 0.141038 | + | 0.194122i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −137.061 | − | 421.829i | −0.332672 | − | 1.02386i | ||||
\(413\) | 291.363 | − | 94.6694i | 0.705478 | − | 0.229224i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −138.643 | + | 100.730i | −0.334079 | + | 0.242722i | ||||
\(416\) | 257.234 | + | 83.5803i | 0.618350 | + | 0.200914i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.89046 | − | 18.8395i | −0.0140920 | − | 0.0450706i | ||||
\(419\) | − | 171.909i | − | 0.410284i | −0.978732 | − | 0.205142i | \(-0.934234\pi\) | ||
0.978732 | − | 0.205142i | \(-0.0657656\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 97.7668 | − | 71.0318i | 0.232225 | − | 0.168722i | −0.465587 | − | 0.885002i | \(-0.654157\pi\) |
0.697813 | + | 0.716280i | \(0.254157\pi\) | |||||||
\(422\) | 22.2455 | − | 30.6183i | 0.0527145 | − | 0.0725552i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 41.4804 | + | 127.663i | 0.0978311 | + | 0.301093i | ||||
\(425\) | −58.4542 | + | 80.4553i | −0.137539 | + | 0.189307i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −315.784 | + | 971.884i | −0.739542 | + | 2.27608i | ||||
\(428\) | − | 324.627i | − | 0.758473i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −80.2942 | −0.186731 | ||||||||
\(431\) | −451.082 | − | 146.565i | −1.04659 | − | 0.340059i | −0.265263 | − | 0.964176i | \(-0.585459\pi\) |
−0.781331 | + | 0.624117i | \(0.785459\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −205.673 | − | 149.430i | −0.474996 | − | 0.345105i | 0.324389 | − | 0.945924i | \(-0.394841\pi\) |
−0.799385 | + | 0.600819i | \(0.794841\pi\) | |||||||
\(434\) | 35.1179 | − | 11.4105i | 0.0809169 | − | 0.0262915i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −396.070 | − | 287.761i | −0.908416 | − | 0.660003i | ||||
\(437\) | 140.866 | + | 193.886i | 0.322349 | + | 0.443675i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 515.246 | 1.17368 | 0.586841 | − | 0.809703i | \(-0.300372\pi\) | ||||
0.586841 | + | 0.809703i | \(0.300372\pi\) | |||||||
\(440\) | −96.0486 | + | 129.154i | −0.218292 | + | 0.293531i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.2698 | + | 53.1511i | −0.0390720 | + | 0.120251i | ||||
\(443\) | 309.199 | + | 425.576i | 0.697966 | + | 0.960668i | 0.999973 | + | 0.00736244i | \(0.00234356\pi\) |
−0.302007 | + | 0.953306i | \(0.597656\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 248.031 | + | 763.360i | 0.557372 | + | 1.71542i | ||||
\(446\) | 21.2648 | − | 6.90936i | 0.0476790 | − | 0.0154918i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −384.987 | + | 279.709i | −0.859345 | + | 0.624351i | ||||
\(449\) | 515.338 | + | 167.443i | 1.14775 | + | 0.372925i | 0.820293 | − | 0.571943i | \(-0.193810\pi\) |
0.327452 | + | 0.944868i | \(0.393810\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 476.660 | − | 338.277i | 1.05690 | − | 0.750061i | ||||
\(452\) | 394.935i | 0.873749i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 58.9542 | − | 42.8328i | 0.129855 | − | 0.0943453i | ||||
\(455\) | 566.687 | − | 779.978i | 1.24547 | − | 1.71424i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 37.8329 | + | 116.438i | 0.0827854 | + | 0.254787i | 0.983878 | − | 0.178839i | \(-0.0572340\pi\) |
−0.901093 | + | 0.433626i | \(0.857234\pi\) | |||||||
\(458\) | 12.4687 | − | 17.1617i | 0.0272242 | − | 0.0374709i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 298.235 | − | 917.871i | 0.648336 | − | 1.99537i | ||||
\(461\) | − | 308.300i | − | 0.668764i | −0.942438 | − | 0.334382i | \(-0.891472\pi\) | ||
0.942438 | − | 0.334382i | \(-0.108528\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 369.654 | 0.798389 | 0.399195 | − | 0.916866i | \(-0.369290\pi\) | ||||
0.399195 | + | 0.916866i | \(0.369290\pi\) | |||||||
\(464\) | −245.301 | − | 79.7032i | −0.528667 | − | 0.171774i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 26.8857 | + | 19.5336i | 0.0576947 | + | 0.0419177i | ||||
\(467\) | 103.523 | − | 33.6365i | 0.221676 | − | 0.0720269i | −0.196073 | − | 0.980589i | \(-0.562819\pi\) |
0.417749 | + | 0.908562i | \(0.362819\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 641.950 | + | 466.404i | 1.36876 | + | 0.994465i | ||||
\(470\) | −20.5070 | − | 28.2255i | −0.0436319 | − | 0.0600542i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 86.9382 | 0.184191 | ||||||||
\(473\) | −5.30645 | + | 477.021i | −0.0112187 | + | 1.00850i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.4503 | + | 56.7843i | −0.0388428 | + | 0.119546i | ||||
\(476\) | −190.959 | − | 262.833i | −0.401175 | − | 0.552170i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 33.5392 | + | 103.223i | 0.0701658 | + | 0.215948i | ||||
\(479\) | −287.864 | + | 93.5328i | −0.600969 | + | 0.195267i | −0.593673 | − | 0.804707i | \(-0.702323\pi\) |
−0.00729665 | + | 0.999973i | \(0.502323\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 109.126 | − | 79.2847i | 0.226873 | − | 0.164833i | ||||
\(482\) | −111.763 | − | 36.3141i | −0.231874 | − | 0.0753404i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 375.805 | + | 286.024i | 0.776456 | + | 0.590959i | ||||
\(485\) | − | 59.3229i | − | 0.122315i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −375.540 | + | 272.846i | −0.771130 | + | 0.560258i | −0.902304 | − | 0.431101i | \(-0.858125\pi\) |
0.131174 | + | 0.991359i | \(0.458125\pi\) | |||||||
\(488\) | −170.455 | + | 234.611i | −0.349293 | + | 0.480761i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.9820 | − | 46.1099i | −0.0305756 | − | 0.0941019i | ||||
\(491\) | 204.017 | − | 280.805i | 0.415513 | − | 0.571905i | −0.549039 | − | 0.835797i | \(-0.685006\pi\) |
0.964552 | + | 0.263892i | \(0.0850063\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 51.5361 | − | 158.612i | 0.104536 | − | 0.321728i | ||||
\(494\) | 33.5530i | 0.0679210i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −203.052 | −0.409379 | ||||||||
\(497\) | 955.087 | + | 310.326i | 1.92170 | + | 0.624399i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −368.064 | − | 267.414i | −0.737603 | − | 0.535900i | 0.154356 | − | 0.988015i | \(-0.450670\pi\) |
−0.891960 | + | 0.452115i | \(0.850670\pi\) | |||||||
\(500\) | −323.157 | + | 105.000i | −0.646315 | + | 0.210000i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −75.9860 | − | 55.2071i | −0.151367 | − | 0.109974i | ||||
\(503\) | −243.623 | − | 335.319i | −0.484341 | − | 0.666638i | 0.494991 | − | 0.868898i | \(-0.335171\pi\) |
−0.979332 | + | 0.202260i | \(0.935171\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1025.31 | −2.03033 | ||||||||
\(506\) | 134.950 | + | 45.5137i | 0.266700 | + | 0.0899480i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 149.553 | − | 460.277i | 0.294396 | − | 0.906056i | ||||
\(509\) | 88.1735 | + | 121.360i | 0.173229 | + | 0.238429i | 0.886800 | − | 0.462154i | \(-0.152923\pi\) |
−0.713571 | + | 0.700583i | \(0.752923\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −141.866 | − | 436.619i | −0.277625 | − | 0.854441i | ||||
\(512\) | −343.213 | + | 111.517i | −0.670337 | + | 0.217806i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.77247 | − | 2.74086i | 0.00733943 | − | 0.00533241i | ||||
\(515\) | −642.668 | − | 208.815i | −1.24790 | − | 0.405467i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −169.040 | + | 119.965i | −0.326964 | + | 0.232041i | ||||
\(518\) | − | 19.4759i | − | 0.0375983i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 221.343 | − | 160.815i | 0.425659 | − | 0.309260i | ||||
\(521\) | −256.909 | + | 353.605i | −0.493107 | + | 0.678704i | −0.980957 | − | 0.194224i | \(-0.937781\pi\) |
0.487850 | + | 0.872927i | \(0.337781\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −126.781 | − | 390.193i | −0.242412 | − | 0.746067i | −0.996051 | − | 0.0887790i | \(-0.971703\pi\) |
0.753639 | − | 0.657288i | \(-0.228297\pi\) | |||||||
\(524\) | 120.583 | − | 165.968i | 0.230120 | − | 0.316733i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 45.2854 | − | 139.374i | 0.0860938 | − | 0.264970i | ||||
\(527\) | − | 131.293i | − | 0.249134i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1200.15 | −2.26871 | ||||||||
\(530\) | 96.0564 | + | 31.2106i | 0.181238 | + | 0.0588879i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −157.799 | − | 114.648i | −0.296615 | − | 0.215504i | ||||
\(533\) | −944.922 | + | 307.024i | −1.77284 | + | 0.576030i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −400.121 | − | 290.705i | −0.747890 | − | 0.543374i | ||||
\(536\) | 132.357 | + | 182.173i | 0.246934 | + | 0.339875i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −62.2171 | −0.115645 | ||||||||
\(539\) | −274.925 | + | 85.9597i | −0.510066 | + | 0.159480i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −154.410 | + | 475.226i | −0.285416 | + | 0.878421i | 0.700857 | + | 0.713302i | \(0.252801\pi\) |
−0.986274 | + | 0.165119i | \(0.947199\pi\) | |||||||
\(542\) | 15.9713 | + | 21.9826i | 0.0294673 | + | 0.0405583i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −42.9093 | − | 132.061i | −0.0788773 | − | 0.242759i | ||||
\(545\) | −709.365 | + | 230.487i | −1.30159 | + | 0.422911i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 562.723 | − | 408.842i | 1.02874 | − | 0.747426i | 0.0606867 | − | 0.998157i | \(-0.480671\pi\) |
0.968057 | + | 0.250731i | \(0.0806709\pi\) | |||||||
\(548\) | 466.908 | + | 151.708i | 0.852022 | + | 0.276839i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.5883 | + | 33.8646i | 0.0192515 | + | 0.0615720i | ||||
\(551\) | − | 100.128i | − | 0.181720i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.3746 | + | 10.4437i | −0.0259938 | + | 0.0188856i | ||||
\(554\) | −54.7602 | + | 75.3710i | −0.0988452 | + | 0.136049i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 64.7031 | + | 199.136i | 0.116372 | + | 0.358157i | ||||
\(557\) | 254.943 | − | 350.898i | 0.457707 | − | 0.629979i | −0.516325 | − | 0.856393i | \(-0.672700\pi\) |
0.974031 | + | 0.226414i | \(0.0727002\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 250.585 | − | 771.220i | 0.448273 | − | 1.37964i | ||||
\(560\) | 765.484i | 1.36694i | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 93.0037 | 0.165487 | ||||||||
\(563\) | 639.745 | + | 207.866i | 1.13632 | + | 0.369211i | 0.815973 | − | 0.578091i | \(-0.196202\pi\) |
0.320343 | + | 0.947302i | \(0.396202\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 486.780 | + | 353.666i | 0.861557 | + | 0.625958i | ||||
\(566\) | 60.5610 | − | 19.6775i | 0.106998 | − | 0.0347658i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 230.556 | + | 167.509i | 0.405909 | + | 0.294910i | ||||
\(569\) | 319.271 | + | 439.438i | 0.561108 | + | 0.772299i | 0.991467 | − | 0.130359i | \(-0.0416129\pi\) |
−0.430359 | + | 0.902658i | \(0.641613\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 607.861 | 1.06456 | 0.532278 | − | 0.846570i | \(-0.321336\pi\) | ||||
0.532278 | + | 0.846570i | \(0.321336\pi\) | |||||||
\(572\) | −464.610 | − | 654.673i | −0.812256 | − | 1.14453i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −44.3301 | + | 136.434i | −0.0772302 | + | 0.237690i | ||||
\(575\) | −253.212 | − | 348.516i | −0.440369 | − | 0.606115i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 40.4970 | + | 124.637i | 0.0701854 | + | 0.216009i | 0.979997 | − | 0.199014i | \(-0.0637738\pi\) |
−0.909811 | + | 0.415022i | \(0.863774\pi\) | |||||||
\(578\) | −58.2907 | + | 18.9398i | −0.100849 | + | 0.0327678i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −326.211 | + | 237.006i | −0.562433 | + | 0.408632i | ||||
\(581\) | −237.663 | − | 77.2212i | −0.409058 | − | 0.132911i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 191.768 | − | 568.600i | 0.328933 | − | 0.975301i | ||||
\(584\) | − | 130.281i | − | 0.223083i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −25.9054 | + | 18.8214i | −0.0442072 | + | 0.0321184i | ||||
\(587\) | 78.5679 | − | 108.139i | 0.133846 | − | 0.184224i | −0.736833 | − | 0.676075i | \(-0.763680\pi\) |
0.870679 | + | 0.491851i | \(0.163680\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −24.3585 | − | 74.9677i | −0.0413557 | − | 0.127280i | ||||
\(590\) | 38.4493 | − | 52.9210i | 0.0651684 | − | 0.0896966i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −33.0952 | + | 101.857i | −0.0559040 | + | 0.172055i | ||||
\(593\) | − | 164.004i | − | 0.276567i | −0.990393 | − | 0.138283i | \(-0.955841\pi\) | ||
0.990393 | − | 0.138283i | \(-0.0441585\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −494.962 | −0.831869 | ||||||||
\(596\) | −15.7291 | − | 5.11068i | −0.0263910 | − | 0.00857497i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −195.854 | − | 142.296i | −0.327514 | − | 0.237953i | ||||
\(599\) | 40.7149 | − | 13.2291i | 0.0679714 | − | 0.0220852i | −0.274834 | − | 0.961492i | \(-0.588623\pi\) |
0.342805 | + | 0.939406i | \(0.388623\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 252.000 | + | 183.089i | 0.419301 | + | 0.304640i | 0.777356 | − | 0.629060i | \(-0.216560\pi\) |
−0.358056 | + | 0.933700i | \(0.616560\pi\) | |||||||
\(602\) | −68.8205 | − | 94.7233i | −0.114320 | − | 0.157348i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 368.399 | 0.609933 | ||||||||
\(605\) | 689.076 | − | 207.065i | 1.13897 | − | 0.342256i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 347.998 | − | 1071.03i | 0.573308 | − | 1.76446i | −0.0685637 | − | 0.997647i | \(-0.521842\pi\) |
0.641871 | − | 0.766812i | \(-0.278158\pi\) | |||||||
\(608\) | −49.0019 | − | 67.4453i | −0.0805952 | − | 0.110930i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 67.4269 | + | 207.519i | 0.110536 | + | 0.340195i | ||||
\(611\) | 335.103 | − | 108.881i | 0.548450 | − | 0.178202i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −377.693 | + | 274.410i | −0.616139 | + | 0.447651i | −0.851571 | − | 0.524240i | \(-0.824350\pi\) |
0.235432 | + | 0.971891i | \(0.424350\pi\) | |||||||
\(614\) | 11.7157 | + | 3.80665i | 0.0190809 | + | 0.00619976i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −234.687 | − | 2.61069i | −0.380985 | − | 0.00423813i | ||||
\(617\) | − | 130.650i | − | 0.211750i | −0.994379 | − | 0.105875i | \(-0.966236\pi\) | ||
0.994379 | − | 0.105875i | \(-0.0337644\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −887.453 | + | 644.773i | −1.43369 | + | 1.04164i | −0.444374 | + | 0.895841i | \(0.646574\pi\) |
−0.989315 | + | 0.145794i | \(0.953426\pi\) | |||||||
\(620\) | −186.584 | + | 256.810i | −0.300941 | + | 0.414210i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −13.4175 | − | 41.2949i | −0.0215716 | − | 0.0663905i | ||||
\(623\) | −687.950 | + | 946.881i | −1.10425 | + | 1.51987i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −240.004 | + | 738.656i | −0.384006 | + | 1.18185i | ||||
\(626\) | − | 70.3909i | − | 0.112446i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −580.320 | −0.924076 | ||||||||
\(629\) | −65.8604 | − | 21.3993i | −0.104707 | − | 0.0340212i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 939.823 | + | 682.821i | 1.48942 | + | 1.08213i | 0.974366 | + | 0.224967i | \(0.0722274\pi\) |
0.515052 | + | 0.857159i | \(0.327773\pi\) | |||||||
\(632\) | −4.79543 | + | 1.55813i | −0.00758770 | + | 0.00246539i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −88.7121 | − | 64.4531i | −0.139924 | − | 0.101661i | ||||
\(635\) | −433.392 | − | 596.513i | −0.682507 | − | 0.939391i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 489.639 | 0.768664 | ||||||||
\(638\) | −34.4368 | − | 48.5242i | −0.0539762 | − | 0.0760568i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −137.720 | + | 423.857i | −0.215187 | + | 0.662277i | ||||
\(641\) | 228.036 | + | 313.864i | 0.355750 | + | 0.489648i | 0.948958 | − | 0.315401i | \(-0.102139\pi\) |
−0.593208 | + | 0.805049i | \(0.702139\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −35.6219 | − | 109.633i | −0.0553995 | − | 0.170502i | 0.919528 | − | 0.393024i | \(-0.128571\pi\) |
−0.974928 | + | 0.222522i | \(0.928571\pi\) | |||||||
\(644\) | 1338.43 | − | 434.883i | 2.07831 | − | 0.675285i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.9359 | − | 10.1250i | 0.0215726 | − | 0.0156734i | ||||
\(647\) | −173.649 | − | 56.4219i | −0.268391 | − | 0.0872054i | 0.171730 | − | 0.985144i | \(-0.445064\pi\) |
−0.440121 | + | 0.897939i | \(0.645064\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −311.858 | − | 231.922i | −0.480521 | − | 0.357352i | ||||
\(650\) | − | 60.3125i | − | 0.0927885i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 289.717 | − | 210.492i | 0.444352 | − | 0.322840i | ||||
\(653\) | 6.35509 | − | 8.74703i | 0.00973214 | − | 0.0133951i | −0.804123 | − | 0.594463i | \(-0.797365\pi\) |
0.813855 | + | 0.581068i | \(0.197365\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −96.5825 | − | 297.250i | −0.147454 | − | 0.453817i | ||||
\(656\) | 463.682 | − | 638.203i | 0.706832 | − | 0.972871i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.7210 | − | 48.3844i | 0.0238921 | − | 0.0735325i | ||||
\(659\) | 875.394i | 1.32837i | 0.747569 | + | 0.664184i | \(0.231221\pi\) | ||||
−0.747569 | + | 0.664184i | \(0.768779\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1015.92 | 1.53695 | 0.768475 | − | 0.639880i | \(-0.221016\pi\) | ||||
0.768475 | + | 0.639880i | \(0.221016\pi\) | |||||||
\(662\) | −25.1279 | − | 8.16456i | −0.0379576 | − | 0.0123332i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −57.3714 | − | 41.6827i | −0.0864027 | − | 0.0627752i | ||||
\(665\) | −282.620 | + | 91.8289i | −0.424993 | + | 0.138089i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 584.461 | + | 424.636i | 0.876253 | + | 0.636635i | ||||
\(668\) | −32.7323 | − | 45.0521i | −0.0490004 | − | 0.0674433i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 169.428 | 0.252878 | ||||||||
\(671\) | 1237.31 | − | 386.863i | 1.84398 | − | 0.576547i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.1655 | + | 108.228i | −0.0522519 | + | 0.160815i | −0.973777 | − | 0.227503i | \(-0.926944\pi\) |
0.921525 | + | 0.388318i | \(0.126944\pi\) | |||||||
\(674\) | −96.4786 | − | 132.791i | −0.143143 | − | 0.197020i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 217.852 | + | 670.479i | 0.322266 | + | 0.991834i | ||||
\(677\) | 811.539 | − | 263.685i | 1.19873 | − | 0.389490i | 0.359435 | − | 0.933170i | \(-0.382969\pi\) |
0.839293 | + | 0.543680i | \(0.182969\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 69.9835 | − | 50.8460i | 0.103068 | − | 0.0748836i | ||||
\(680\) | −133.586 | − | 43.4048i | −0.196450 | − | 0.0638305i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −37.5883 | − | 27.9535i | −0.0551148 | − | 0.0409876i | ||||
\(683\) | − | 193.740i | − | 0.283661i | −0.989891 | − | 0.141830i | \(-0.954701\pi\) | ||
0.989891 | − | 0.141830i | \(-0.0452987\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 605.108 | − | 439.636i | 0.883369 | − | 0.641805i | ||||
\(686\) | −36.2026 | + | 49.8286i | −0.0527735 | + | 0.0726365i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 198.960 | + | 612.336i | 0.289186 | + | 0.890024i | ||||
\(689\) | −599.551 | + | 825.212i | −0.870176 | + | 1.19769i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −78.3885 | + | 241.255i | −0.113442 | + | 0.349139i | −0.991619 | − | 0.129197i | \(-0.958760\pi\) |
0.878177 | + | 0.478336i | \(0.158760\pi\) | |||||||
\(692\) | 906.604i | 1.31012i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −39.3300 | −0.0566714 | ||||||||
\(695\) | 303.388 | + | 98.5768i | 0.436530 | + | 0.141837i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 412.662 | + | 299.817i | 0.592055 | + | 0.430153i | ||||
\(698\) | 133.684 | − | 43.4365i | 0.191524 | − | 0.0622300i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 283.649 | + | 206.083i | 0.405213 | + | 0.294405i | ||||
\(701\) | −669.680 | − | 921.735i | −0.955321 | − | 1.31489i | −0.949123 | − | 0.314906i | \(-0.898027\pi\) |
−0.00619790 | − | 0.999981i | \(-0.501973\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −41.5761 | −0.0591409 | ||||||||
\(704\) | 572.029 | + | 192.924i | 0.812541 | + | 0.274040i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.0194 | − | 43.1472i | 0.0198575 | − | 0.0611150i | ||||
\(707\) | −878.802 | − | 1209.57i | −1.24300 | − | 1.71084i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 115.622 | + | 355.847i | 0.163077 | + | 0.501899i | 0.998889 | − | 0.0471157i | \(-0.0150029\pi\) |
−0.835812 | + | 0.549015i | \(0.815003\pi\) | |||||||
\(710\) | 203.932 | − | 66.2615i | 0.287228 | − | 0.0933261i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −268.707 | + | 195.227i | −0.377397 | + | 0.274195i | ||||
\(713\) | 540.901 | + | 175.749i | 0.758627 | + | 0.246493i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1222.98 | − | 13.6047i | −1.71047 | − | 0.0190275i | ||||
\(716\) | − | 560.706i | − | 0.783109i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −108.114 | + | 78.5497i | −0.150577 | + | 0.109401i | ||||
\(719\) | −445.256 | + | 612.843i | −0.619272 | + | 0.852354i | −0.997300 | − | 0.0734400i | \(-0.976602\pi\) |
0.378028 | + | 0.925794i | \(0.376602\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −304.493 | − | 937.134i | −0.422321 | − | 1.29977i | ||||
\(722\) | −59.9880 | + | 82.5664i | −0.0830859 | + | 0.114358i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −289.112 | + | 889.794i | −0.399326 | + | 1.22900i | ||||
\(725\) | 179.983i | 0.248252i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 845.080 | 1.16242 | 0.581211 | − | 0.813753i | \(-0.302579\pi\) | ||||
0.581211 | + | 0.813753i | \(0.302579\pi\) | |||||||
\(728\) | 379.428 | + | 123.284i | 0.521192 | + | 0.169346i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −79.3044 | − | 57.6180i | −0.108636 | − | 0.0789288i | ||||
\(731\) | −395.937 | + | 128.648i | −0.541637 | + | 0.175989i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1098.71 | − | 798.262i | −1.49893 | − | 1.08903i | −0.970806 | − | 0.239865i | \(-0.922897\pi\) |
−0.528121 | − | 0.849169i | \(-0.677103\pi\) | |||||||
\(734\) | −24.2235 | − | 33.3408i | −0.0330021 | − | 0.0454235i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 601.502 | 0.817258 | ||||||||
\(737\) | 11.1971 | − | 1006.56i | 0.0151928 | − | 1.36575i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 247.582 | − | 761.978i | 0.335023 | − | 1.03109i | −0.631688 | − | 0.775223i | \(-0.717638\pi\) |
0.966711 | − | 0.255871i | \(-0.0823623\pi\) | |||||||
\(740\) | 98.4122 | + | 135.453i | 0.132989 | + | 0.183044i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 45.5111 | + | 140.069i | 0.0613357 | + | 0.188772i | ||||
\(743\) | −849.861 | + | 276.136i | −1.14382 | + | 0.371651i | −0.818813 | − | 0.574060i | \(-0.805368\pi\) |
−0.325010 | + | 0.945711i | \(0.605368\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.3847 | + | 14.8103i | −0.0273620 | + | 0.0198796i | ||||
\(746\) | −141.598 | − | 46.0078i | −0.189809 | − | 0.0616727i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −131.711 | + | 390.528i | −0.176084 | + | 0.522096i | ||||
\(749\) | − | 721.189i | − | 0.962868i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −321.208 | + | 233.372i | −0.427708 | + | 0.310748i | −0.780732 | − | 0.624867i | \(-0.785153\pi\) |
0.353024 | + | 0.935614i | \(0.385153\pi\) | |||||||
\(752\) | −164.438 | + | 226.329i | −0.218667 | + | 0.300970i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 31.2552 | + | 96.1936i | 0.0414525 | + | 0.127578i | ||||
\(755\) | 329.904 | − | 454.073i | 0.436958 | − | 0.601422i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 183.281 | − | 564.081i | 0.242115 | − | 0.745153i | −0.753983 | − | 0.656894i | \(-0.771870\pi\) |
0.996098 | − | 0.0882586i | \(-0.0281302\pi\) | |||||||
\(758\) | − | 82.2622i | − | 0.108525i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −84.3296 | −0.110960 | ||||||||
\(761\) | −389.495 | − | 126.555i | −0.511820 | − | 0.166301i | 0.0417096 | − | 0.999130i | \(-0.486720\pi\) |
−0.553530 | + | 0.832829i | \(0.686720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −879.906 | − | 639.289i | −1.15322 | − | 0.837862i | ||||
\(764\) | −139.319 | + | 45.2674i | −0.182354 | + | 0.0592506i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −59.5552 | − | 43.2694i | −0.0777483 | − | 0.0564874i | ||||
\(767\) | 388.308 | + | 534.461i | 0.506269 | + | 0.696820i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 119.029 | 0.154784 | 0.0773921 | − | 0.997001i | \(-0.475341\pi\) | ||||
0.0773921 | + | 0.997001i | \(0.475341\pi\) | |||||||
\(770\) | −105.382 | + | 141.704i | −0.136859 | + | 0.184031i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 245.530 | − | 755.665i | 0.318045 | − | 0.978841i | ||||
\(773\) | 412.352 | + | 567.554i | 0.533444 | + | 0.734222i | 0.987650 | − | 0.156674i | \(-0.0500773\pi\) |
−0.454207 | + | 0.890896i | \(0.650077\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 43.7852 | + | 134.757i | 0.0564970 | + | 0.173880i | ||||
\(776\) | 23.3468 | − | 7.58583i | 0.0300861 | − | 0.00977556i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 128.772 | − | 93.5582i | 0.165516 | − | 0.120255i | ||||
\(779\) | 291.252 | + | 94.6334i | 0.373879 | + | 0.121481i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −380.177 | − | 1215.92i | −0.486782 | − | 1.55688i | ||||
\(782\) | 124.286i | 0.158933i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −314.518 | + | 228.511i | −0.401171 | + | 0.291468i | ||||
\(785\) | −519.680 | + | 715.278i | −0.662012 | + | 0.911182i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 475.616 | + | 1463.80i | 0.604341 | + | 1.85997i | 0.501261 | + | 0.865296i | \(0.332870\pi\) |
0.103080 | + | 0.994673i | \(0.467130\pi\) | |||||||
\(788\) | −478.279 | + | 658.295i | −0.606953 | + | 0.835400i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.17236 | + | 3.60817i | −0.00148401 | + | 0.00456730i | ||||
\(791\) | 877.384i | 1.10921i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2203.63 | −2.77885 | ||||||||
\(794\) | 115.256 | + | 37.4490i | 0.145159 | + | 0.0471649i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 789.013 | + | 573.251i | 0.991222 | + | 0.720165i | ||||
\(797\) | −941.317 | + | 305.853i | −1.18108 | + | 0.383755i | −0.832766 | − | 0.553625i | \(-0.813244\pi\) |
−0.348310 | + | 0.937380i | \(0.613244\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −146.345 | − | 106.326i | −0.183160 | − | 0.133073i | ||||
\(800\) | 88.0824 | + | 121.235i | 0.110103 | + | 0.151544i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 70.3821 | 0.0877582 | ||||||||
\(803\) | −347.545 | + | 467.333i | −0.432808 | + | 0.581984i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 662.556 | − | 2039.14i | 0.823051 | − | 2.53309i | ||||
\(806\) | 46.8028 | + | 64.4186i | 0.0580680 | + | 0.0799238i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −131.111 | − | 403.517i | −0.162266 | − | 0.499402i | ||||
\(809\) | −89.5017 | + | 29.0809i | −0.110632 | + | 0.0359467i | −0.363810 | − | 0.931473i | \(-0.618524\pi\) |
0.253178 | + | 0.967420i | \(0.418524\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 299.589 | − | 217.664i | 0.369407 | − | 0.268390i | −0.387558 | − | 0.921845i | \(-0.626681\pi\) |
0.756965 | + | 0.653455i | \(0.226681\pi\) | |||||||
\(812\) | −559.194 | − | 181.693i | −0.688663 | − | 0.223760i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −20.1487 | + | 14.2992i | −0.0247527 | + | 0.0175666i | ||||
\(815\) | − | 545.590i | − | 0.669436i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −202.210 | + | 146.914i | −0.247503 | + | 0.179821i | ||||
\(818\) | −33.2651 | + | 45.7855i | −0.0406664 | + | 0.0559725i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −381.093 | − | 1172.88i | −0.464748 | − | 1.43035i | ||||
\(821\) | −125.607 | + | 172.884i | −0.152993 | + | 0.210577i | −0.878633 | − | 0.477498i | \(-0.841544\pi\) |
0.725640 | + | 0.688075i | \(0.241544\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 32.2045 | − | 99.1154i | 0.0391307 | − | 0.120432i | −0.929583 | − | 0.368613i | \(-0.879833\pi\) |
0.968714 | + | 0.248181i | \(0.0798328\pi\) | |||||||
\(824\) | − | 279.627i | − | 0.339353i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 95.3861 | 0.115480 | ||||||||
\(827\) | 1264.20 | + | 410.763i | 1.52866 | + | 0.496690i | 0.948220 | − | 0.317615i | \(-0.102882\pi\) |
0.580436 | + | 0.814306i | \(0.302882\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 283.230 | + | 205.779i | 0.341653 | + | 0.248225i | 0.745359 | − | 0.666663i | \(-0.232278\pi\) |
−0.403706 | + | 0.914889i | \(0.632278\pi\) | |||||||
\(830\) | −50.7462 | + | 16.4884i | −0.0611400 | + | 0.0198656i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −830.188 | − | 603.167i | −0.997822 | − | 0.724960i | ||||
\(833\) | −147.755 | − | 203.367i | −0.177377 | − | 0.244138i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −84.8413 | −0.101606 | ||||||||
\(836\) | −2.75239 | + | 247.425i | −0.00329233 | + | 0.295963i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.5401 | − | 50.9053i | 0.0197376 | − | 0.0607461i | ||||
\(839\) | −906.466 | − | 1247.64i | −1.08041 | − | 1.48706i | −0.859066 | − | 0.511865i | \(-0.828955\pi\) |
−0.221347 | − | 0.975195i | \(-0.571045\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 166.613 | + | 512.781i | 0.198112 | + | 0.609727i | ||||
\(842\) | 35.7847 | − | 11.6272i | 0.0424997 | − | 0.0138090i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −383.821 | + | 278.862i | −0.454764 | + | 0.330405i | ||||
\(845\) | 1021.49 | + | 331.903i | 1.20887 | + | 0.392785i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 834.885 | + | 635.429i | 0.985697 | + | 0.750212i | ||||
\(848\) | − | 809.878i | − | 0.955044i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −25.0503 | + | 18.2001i | −0.0294709 | + | 0.0214119i | ||||
\(851\) | 176.321 | − | 242.686i | 0.207193 | − | 0.285177i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.4190 | + | 50.5324i | 0.0192485 | + | 0.0592408i | 0.960219 | − | 0.279247i | \(-0.0900847\pi\) |
−0.940971 | + | 0.338488i | \(0.890085\pi\) | |||||||
\(854\) | −187.019 | + | 257.409i | −0.218991 | + | 0.301416i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 63.2433 | − | 194.643i | 0.0738823 | − | 0.227386i | ||||
\(857\) | − | 668.807i | − | 0.780405i | −0.920729 | − | 0.390202i | \(-0.872405\pi\) | ||
0.920729 | − | 0.390202i | \(-0.127595\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 192.579 | 0.224189 | 0.112095 | − | 0.993698i | \(-0.464244\pi\) | ||||
0.112095 | + | 0.993698i | \(0.464244\pi\) | |||||||
\(860\) | 957.277 | + | 311.038i | 1.11311 | + | 0.361672i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −119.472 | − | 86.8012i | −0.138598 | − | 0.100697i | ||||
\(863\) | −809.418 | + | 262.996i | −0.937911 | + | 0.304746i | −0.737794 | − | 0.675026i | \(-0.764132\pi\) |
−0.200118 | + | 0.979772i | \(0.564132\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1117.44 | + | 811.869i | 1.29184 | + | 0.938577i | ||||
\(866\) | −46.5261 | − | 64.0377i | −0.0537253 | − | 0.0739465i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −462.882 | −0.533274 | ||||||||
\(869\) | 21.3583 | + | 7.20338i | 0.0245781 | + | 0.00828927i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −528.758 | + | 1627.35i | −0.607069 | + | 1.86837i | ||||
\(872\) | −181.418 | − | 249.700i | −0.208048 | − | 0.286354i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 23.0584 | + | 70.9664i | 0.0263826 | + | 0.0811973i | ||||
\(875\) | −717.925 | + | 233.268i | −0.820485 | + | 0.266592i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −356.476 | + | 258.995i | −0.406472 | + | 0.295319i | −0.772172 | − | 0.635414i | \(-0.780830\pi\) |
0.365700 | + | 0.930733i | \(0.380830\pi\) | |||||||
\(878\) | 152.573 | + | 49.5741i | 0.173774 | + | 0.0564625i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 791.928 | − | 562.018i | 0.899919 | − | 0.638657i | ||||
\(881\) | − | 448.427i | − | 0.508997i | −0.967073 | − | 0.254499i | \(-0.918090\pi\) | ||
0.967073 | − | 0.254499i | \(-0.0819104\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 251.468 | − | 182.702i | 0.284788 | − | 0.206911i | −0.436215 | − | 0.899842i | \(-0.643681\pi\) |
0.721003 | + | 0.692932i | \(0.243681\pi\) | |||||||
\(884\) | 411.786 | − | 566.775i | 0.465821 | − | 0.641148i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 50.6127 | + | 155.770i | 0.0571250 | + | 0.175813i | ||||
\(887\) | 759.909 | − | 1045.92i | 0.856718 | − | 1.17917i | −0.125624 | − | 0.992078i | \(-0.540093\pi\) |
0.982342 | − | 0.187093i | \(-0.0599066\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 332.246 | − | 1022.55i | 0.373730 | − | 1.15022i | ||||
\(890\) | 249.908i | 0.280796i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −280.287 | −0.314223 | ||||||||
\(893\) | −103.288 | − | 33.5603i | −0.115664 | − | 0.0375816i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −691.103 | − | 502.115i | −0.772182 | − | 0.561023i | ||||
\(896\) | −618.066 | + | 200.822i | −0.689806 | + | 0.224131i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 136.490 | + | 99.1658i | 0.151993 | + | 0.110430i | ||||
\(899\) | −139.668 | − | 192.236i | −0.155359 | − | 0.213833i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 523.667 | 0.581206 | ||||||||
\(902\) | 173.695 | − | 54.3083i | 0.192566 | − | 0.0602087i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −76.9406 | + | 236.799i | −0.0851113 | + | 0.261946i | ||||
\(905\) | 837.822 | + | 1153.16i | 0.925770 | + | 1.27421i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 252.009 | + | 775.605i | 0.277849 | + | 0.855132i | 0.988451 | + | 0.151538i | \(0.0484227\pi\) |
−0.710602 | + | 0.703594i | \(0.751577\pi\) | |||||||
\(908\) | −868.782 | + | 282.284i | −0.956808 | + | 0.310886i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 242.851 | − | 176.442i | 0.266869 | − | 0.193892i | ||||
\(911\) | 231.147 | + | 75.1044i | 0.253729 | + | 0.0824417i | 0.433120 | − | 0.901336i | \(-0.357413\pi\) |
−0.179391 | + | 0.983778i | \(0.557413\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 94.6027 | + | 302.569i | 0.103617 | + | 0.331400i | ||||
\(914\) | 38.1193i | 0.0417061i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −215.133 | + | 156.303i | −0.234861 | + | 0.170637i | ||||
\(917\) | 267.886 | − | 368.713i | 0.292133 | − | 0.402086i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −89.7023 | − | 276.075i | −0.0976086 | − | 0.300408i | 0.890316 | − | 0.455343i | \(-0.150483\pi\) |
−0.987925 | + | 0.154935i | \(0.950483\pi\) | |||||||
\(920\) | 357.637 | − | 492.245i | 0.388736 | − | 0.535049i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 29.6629 | − | 91.2931i | 0.0321724 | − | 0.0990164i | ||||
\(923\) | 2165.54i | 2.34620i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 74.7343 | 0.0807938 | ||||||||
\(926\) | 109.461 | + | 35.5661i | 0.118209 | + | 0.0384083i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −203.311 | − | 147.714i | −0.219085 | − | 0.159175i | ||||
\(929\) | 280.633 | − | 91.1833i | 0.302081 | − | 0.0981521i | −0.154055 | − | 0.988062i | \(-0.549233\pi\) |
0.456136 | + | 0.889910i | \(0.349233\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −122.097 | − | 88.7089i | −0.131146 | − | 0.0952835i | ||||
\(932\) | −244.867 | − | 337.031i | −0.262733 | − | 0.361621i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 33.8912 | 0.0362861 | ||||||||
\(935\) | 363.401 | + | 512.061i | 0.388664 | + | 0.547659i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −283.722 | + | 873.206i | −0.302798 | + | 0.931917i | 0.677692 | + | 0.735346i | \(0.262980\pi\) |
−0.980490 | + | 0.196570i | \(0.937020\pi\) | |||||||
\(938\) | 145.218 | + | 199.875i | 0.154816 | + | 0.213087i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 135.149 | + | 415.946i | 0.143776 | + | 0.442496i | ||||
\(941\) | 949.293 | − | 308.444i | 1.00881 | − | 0.327783i | 0.242431 | − | 0.970169i | \(-0.422055\pi\) |
0.766382 | + | 0.642385i | \(0.222055\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1787.57 | + | 1298.75i | −1.89562 | + | 1.37725i | ||||
\(944\) | −498.857 | − | 162.088i | −0.528450 | − | 0.171704i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −47.4676 | + | 140.744i | −0.0501772 | + | 0.148778i | ||||
\(947\) | 780.779i | 0.824476i | 0.911076 | + | 0.412238i | \(0.135253\pi\) | ||||
−0.911076 | + | 0.412238i | \(0.864747\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 800.912 | − | 581.897i | 0.843954 | − | 0.613169i | ||||
\(950\) | −10.9269 | + | 15.0396i | −0.0115020 | + | 0.0158312i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −63.2925 | − | 194.794i | −0.0664838 | − | 0.204616i | ||||
\(953\) | 54.7973 | − | 75.4220i | 0.0574998 | − | 0.0791417i | −0.779299 | − | 0.626653i | \(-0.784425\pi\) |
0.836799 | + | 0.547511i | \(0.184425\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −68.9661 | + | 212.256i | −0.0722158 | + | 0.222257i | ||||
\(956\) | − | 1360.56i | − | 1.42318i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −94.2409 | −0.0983725 | ||||||||
\(959\) | 1037.28 | + | 337.033i | 1.08163 | + | 0.351442i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 626.127 | + | 454.908i | 0.651537 | + | 0.473369i | ||||
\(962\) | 39.9425 | − | 12.9781i | 0.0415202 | − | 0.0134907i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1191.78 | + | 865.882i | 1.23629 | + | 0.898217i | ||||
\(965\) | −711.527 | − | 979.333i | −0.737334 | − | 1.01485i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 365.949 | 0.378437 | 0.189219 | − | 0.981935i | \(-0.439405\pi\) | ||||
0.189219 | + | 0.981935i | \(0.439405\pi\) | |||||||
\(968\) | 169.606 | + | 244.711i | 0.175213 | + | 0.252800i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.70772 | − | 17.5666i | 0.00588425 | − | 0.0181099i | ||||
\(971\) | −167.027 | − | 229.892i | −0.172015 | − | 0.236758i | 0.714302 | − | 0.699838i | \(-0.246744\pi\) |
−0.886317 | + | 0.463079i | \(0.846744\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 143.744 | + | 442.398i | 0.147733 | + | 0.454675i | ||||
\(974\) | −137.456 | + | 44.6621i | −0.141125 | + | 0.0458543i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1415.49 | − | 1028.42i | 1.45030 | − | 1.05371i | ||||
\(977\) | −839.782 | − | 272.862i | −0.859552 | − | 0.279285i | −0.154110 | − | 0.988054i | \(-0.549251\pi\) |
−0.705441 | + | 0.708768i | \(0.749251\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1484.68 | + | 16.5158i | 1.51653 | + | 0.0168701i | ||||
\(980\) | 607.765i | 0.620168i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 87.4305 | − | 63.5219i | 0.0890331 | − | 0.0646863i | ||||
\(983\) | 802.187 | − | 1104.12i | 0.816060 | − | 1.12321i | −0.174300 | − | 0.984693i | \(-0.555766\pi\) |
0.990360 | − | 0.138518i | \(-0.0442338\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 383.085 | + | 1179.01i | 0.388919 | + | 1.19697i | ||||
\(986\) | 30.5215 | − | 42.0092i | 0.0309549 | − | 0.0426057i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 129.975 | − | 400.022i | 0.131554 | − | 0.404881i | ||||
\(989\) | − | 1803.38i | − | 1.82344i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −842.288 | −0.849938 | −0.424969 | − | 0.905208i | \(-0.639715\pi\) | ||||
−0.424969 | + | 0.905208i | \(0.639715\pi\) | |||||||
\(992\) | −188.158 | − | 61.1363i | −0.189675 | − | 0.0616293i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 252.960 | + | 183.786i | 0.254487 | + | 0.184896i | ||||
\(995\) | 1413.13 | − | 459.154i | 1.42023 | − | 0.461461i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 296.438 | + | 215.375i | 0.297330 | + | 0.216023i | 0.726441 | − | 0.687229i | \(-0.241173\pi\) |
−0.429111 | + | 0.903252i | \(0.641173\pi\) | |||||||
\(998\) | −83.2611 | − | 114.599i | −0.0834280 | − | 0.114829i | ||||
\(999\) | 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 | 99.3.l.a.53.5 | yes | 32 | |
3.2 | odd | 2 | inner | 99.3.l.a.53.4 | ✓ | 32 | |
11.4 | even | 5 | 1089.3.b.i.485.9 | 16 | |||
11.5 | even | 5 | inner | 99.3.l.a.71.4 | yes | 32 | |
11.7 | odd | 10 | 1089.3.b.j.485.8 | 16 | |||
33.5 | odd | 10 | inner | 99.3.l.a.71.5 | yes | 32 | |
33.26 | odd | 10 | 1089.3.b.i.485.8 | 16 | |||
33.29 | even | 10 | 1089.3.b.j.485.9 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.l.a.53.4 | ✓ | 32 | 3.2 | odd | 2 | inner | |
99.3.l.a.53.5 | yes | 32 | 1.1 | even | 1 | trivial | |
99.3.l.a.71.4 | yes | 32 | 11.5 | even | 5 | inner | |
99.3.l.a.71.5 | yes | 32 | 33.5 | odd | 10 | inner | |
1089.3.b.i.485.8 | 16 | 33.26 | odd | 10 | |||
1089.3.b.i.485.9 | 16 | 11.4 | even | 5 | |||
1089.3.b.j.485.8 | 16 | 11.7 | odd | 10 | |||
1089.3.b.j.485.9 | 16 | 33.29 | even | 10 |