Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 43.25 |
Dual form | 43.2.g.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06783 | − | 0.514239i | −0.755069 | − | 0.363622i | 0.0164198 | − | 0.999865i | \(-0.494773\pi\) |
−0.771489 | + | 0.636243i | \(0.780487\pi\) | |||||||
\(3\) | −1.90223 | − | 1.29692i | −1.09825 | − | 0.748775i | −0.128218 | − | 0.991746i | \(-0.540926\pi\) |
−0.970034 | + | 0.242970i | \(0.921878\pi\) | |||||||
\(4\) | −0.371164 | − | 0.465425i | −0.185582 | − | 0.232712i | ||||
\(5\) | 2.37710 | − | 2.20563i | 1.06307 | − | 0.986388i | 0.0631405 | − | 0.998005i | \(-0.479888\pi\) |
0.999933 | + | 0.0116171i | \(0.00369791\pi\) | |||||||
\(6\) | 1.36433 | + | 2.36309i | 0.556985 | + | 0.964725i | ||||
\(7\) | −1.38418 | + | 2.39748i | −0.523173 | + | 0.906162i | 0.476464 | + | 0.879194i | \(0.341918\pi\) |
−0.999636 | + | 0.0269675i | \(0.991415\pi\) | |||||||
\(8\) | 0.684463 | + | 2.99883i | 0.241994 | + | 1.06025i | ||||
\(9\) | 0.840455 | + | 2.14144i | 0.280152 | + | 0.713814i | ||||
\(10\) | −3.67256 | + | 1.13283i | −1.16137 | + | 0.358234i | ||||
\(11\) | 3.47915 | − | 4.36271i | 1.04900 | − | 1.31541i | 0.101787 | − | 0.994806i | \(-0.467544\pi\) |
0.947215 | − | 0.320600i | \(-0.103885\pi\) | |||||||
\(12\) | 0.102421 | + | 1.36671i | 0.0295664 | + | 0.394536i | ||||
\(13\) | 1.57105 | + | 0.484606i | 0.435732 | + | 0.134406i | 0.504858 | − | 0.863202i | \(-0.331545\pi\) |
−0.0691260 | + | 0.997608i | \(0.522021\pi\) | |||||||
\(14\) | 2.71095 | − | 1.84829i | 0.724532 | − | 0.493977i | ||||
\(15\) | −7.38231 | + | 1.11270i | −1.90610 | + | 0.287299i | ||||
\(16\) | 0.546293 | − | 2.39346i | 0.136573 | − | 0.598366i | ||||
\(17\) | 0.555777 | + | 0.515686i | 0.134796 | + | 0.125072i | 0.744690 | − | 0.667411i | \(-0.232597\pi\) |
−0.609894 | + | 0.792483i | \(0.708788\pi\) | |||||||
\(18\) | 0.203753 | − | 2.71889i | 0.0480249 | − | 0.640848i | ||||
\(19\) | −0.795961 | + | 2.02807i | −0.182606 | + | 0.465272i | −0.992639 | − | 0.121112i | \(-0.961354\pi\) |
0.810033 | + | 0.586384i | \(0.199449\pi\) | |||||||
\(20\) | −1.90885 | − | 0.287713i | −0.426832 | − | 0.0643345i | ||||
\(21\) | 5.74237 | − | 2.76538i | 1.25309 | − | 0.603455i | ||||
\(22\) | −5.95861 | + | 2.86951i | −1.27038 | + | 0.611782i | ||||
\(23\) | 0.00139480 | 0.000210232i | 0.000290836 | 4.38364e-5i | 0.149188 | − | 0.988809i | \(-0.452334\pi\) | ||
−0.148897 | + | 0.988853i | \(0.547572\pi\) | |||||||
\(24\) | 2.58723 | − | 6.59215i | 0.528116 | − | 1.34562i | ||||
\(25\) | 0.412168 | − | 5.50000i | 0.0824336 | − | 1.10000i | ||||
\(26\) | −1.42841 | − | 1.32537i | −0.280135 | − | 0.259927i | ||||
\(27\) | −0.358374 | + | 1.57014i | −0.0689691 | + | 0.302174i | ||||
\(28\) | 1.62960 | − | 0.245623i | 0.307966 | − | 0.0464185i | ||||
\(29\) | −3.87133 | + | 2.63943i | −0.718888 | + | 0.490129i | −0.866665 | − | 0.498891i | \(-0.833741\pi\) |
0.147777 | + | 0.989021i | \(0.452788\pi\) | |||||||
\(30\) | 8.45524 | + | 2.60810i | 1.54371 | + | 0.476171i | ||||
\(31\) | 0.301429 | + | 4.02229i | 0.0541382 | + | 0.722424i | 0.956553 | + | 0.291557i | \(0.0941733\pi\) |
−0.902415 | + | 0.430867i | \(0.858208\pi\) | |||||||
\(32\) | 2.02149 | − | 2.53487i | 0.357352 | − | 0.448105i | ||||
\(33\) | −12.2762 | + | 3.78671i | −2.13701 | + | 0.659181i | ||||
\(34\) | −0.328289 | − | 0.836466i | −0.0563011 | − | 0.143453i | ||||
\(35\) | 1.99760 | + | 8.75205i | 0.337656 | + | 1.47937i | ||||
\(36\) | 0.684734 | − | 1.18599i | 0.114122 | − | 0.197666i | ||||
\(37\) | −0.999506 | − | 1.73120i | −0.164318 | − | 0.284607i | 0.772095 | − | 0.635507i | \(-0.219209\pi\) |
−0.936413 | + | 0.350900i | \(0.885876\pi\) | |||||||
\(38\) | 1.89286 | − | 1.75632i | 0.307063 | − | 0.284913i | ||||
\(39\) | −2.36001 | − | 2.95936i | −0.377904 | − | 0.473877i | ||||
\(40\) | 8.24135 | + | 5.61886i | 1.30307 | + | 0.888419i | ||||
\(41\) | 6.30781 | + | 3.03768i | 0.985115 | + | 0.474406i | 0.855861 | − | 0.517205i | \(-0.173028\pi\) |
0.129253 | + | 0.991612i | \(0.458742\pi\) | |||||||
\(42\) | −7.55393 | −1.16560 | ||||||||
\(43\) | 6.54912 | + | 0.330261i | 0.998731 | + | 0.0503643i | ||||
\(44\) | −3.32185 | −0.500787 | ||||||||
\(45\) | 6.72108 | + | 3.23670i | 1.00192 | + | 0.482499i | ||||
\(46\) | −0.00138130 | 0.000941752i | −0.000203661 | 0.000138854i | ||||||
\(47\) | −4.90255 | − | 6.14760i | −0.715110 | − | 0.896720i | 0.282940 | − | 0.959138i | \(-0.408690\pi\) |
−0.998050 | + | 0.0624180i | \(0.980119\pi\) | |||||||
\(48\) | −4.14330 | + | 3.84442i | −0.598034 | + | 0.554894i | ||||
\(49\) | −0.331936 | − | 0.574929i | −0.0474194 | − | 0.0821328i | ||||
\(50\) | −3.26844 | + | 5.66111i | −0.462227 | + | 0.800601i | ||||
\(51\) | −0.388413 | − | 1.70175i | −0.0543887 | − | 0.238293i | ||||
\(52\) | −0.357571 | − | 0.911075i | −0.0495861 | − | 0.126343i | ||||
\(53\) | −3.76860 | + | 1.16246i | −0.517657 | + | 0.159676i | −0.542565 | − | 0.840014i | \(-0.682547\pi\) |
0.0249081 | + | 0.999690i | \(0.492071\pi\) | |||||||
\(54\) | 1.19011 | − | 1.49235i | 0.161953 | − | 0.203083i | ||||
\(55\) | −1.35223 | − | 18.0443i | −0.182335 | − | 2.43310i | ||||
\(56\) | −8.13705 | − | 2.50995i | −1.08736 | − | 0.335406i | ||||
\(57\) | 4.14434 | − | 2.82557i | 0.548932 | − | 0.374255i | ||||
\(58\) | 5.49121 | − | 0.827667i | 0.721032 | − | 0.108678i | ||||
\(59\) | −0.811036 | + | 3.55338i | −0.105588 | + | 0.462611i | 0.894297 | + | 0.447473i | \(0.147676\pi\) |
−0.999885 | + | 0.0151380i | \(0.995181\pi\) | |||||||
\(60\) | 3.25793 | + | 3.02291i | 0.420597 | + | 0.390257i | ||||
\(61\) | −0.639001 | + | 8.52687i | −0.0818157 | + | 1.09175i | 0.793618 | + | 0.608416i | \(0.208195\pi\) |
−0.875434 | + | 0.483338i | \(0.839424\pi\) | |||||||
\(62\) | 1.74654 | − | 4.45012i | 0.221811 | − | 0.565166i | ||||
\(63\) | −6.29741 | − | 0.949182i | −0.793399 | − | 0.119586i | ||||
\(64\) | −7.88592 | + | 3.79766i | −0.985740 | + | 0.474707i | ||||
\(65\) | 4.80342 | − | 2.31320i | 0.595791 | − | 0.286918i | ||||
\(66\) | 15.0562 | + | 2.26935i | 1.85328 | + | 0.279338i | ||||
\(67\) | 3.43004 | − | 8.73959i | 0.419046 | − | 1.06771i | −0.553054 | − | 0.833145i | \(-0.686538\pi\) |
0.972100 | − | 0.234566i | \(-0.0753670\pi\) | |||||||
\(68\) | 0.0337286 | − | 0.450076i | 0.00409019 | − | 0.0545798i | ||||
\(69\) | −0.00238057 | − | 0.00220885i | −0.000286587 | − | 0.000265914i | ||||
\(70\) | 2.36756 | − | 10.3729i | 0.282977 | − | 1.23980i | ||||
\(71\) | 6.83052 | − | 1.02953i | 0.810633 | − | 0.122183i | 0.269370 | − | 0.963037i | \(-0.413184\pi\) |
0.541263 | + | 0.840853i | \(0.317946\pi\) | |||||||
\(72\) | −5.84656 | + | 3.98612i | −0.689024 | + | 0.469769i | ||||
\(73\) | −10.6150 | − | 3.27429i | −1.24239 | − | 0.383226i | −0.397220 | − | 0.917724i | \(-0.630025\pi\) |
−0.845170 | + | 0.534497i | \(0.820501\pi\) | |||||||
\(74\) | 0.177053 | + | 2.36261i | 0.0205820 | + | 0.274647i | ||||
\(75\) | −7.91708 | + | 9.92771i | −0.914186 | + | 1.14635i | ||||
\(76\) | 1.23935 | − | 0.382288i | 0.142163 | − | 0.0438515i | ||||
\(77\) | 5.64372 | + | 14.3800i | 0.643162 | + | 1.63875i | ||||
\(78\) | 0.998267 | + | 4.37370i | 0.113032 | + | 0.495224i | ||||
\(79\) | −3.26980 | + | 5.66346i | −0.367882 | + | 0.637190i | −0.989234 | − | 0.146342i | \(-0.953250\pi\) |
0.621353 | + | 0.783531i | \(0.286583\pi\) | |||||||
\(80\) | −3.98050 | − | 6.89443i | −0.445034 | − | 0.770821i | ||||
\(81\) | 7.77713 | − | 7.21613i | 0.864126 | − | 0.801792i | ||||
\(82\) | −5.17357 | − | 6.48745i | −0.571325 | − | 0.716419i | ||||
\(83\) | −4.71578 | − | 3.21516i | −0.517624 | − | 0.352910i | 0.276158 | − | 0.961112i | \(-0.410939\pi\) |
−0.793782 | + | 0.608202i | \(0.791891\pi\) | |||||||
\(84\) | −3.41843 | − | 1.64623i | −0.372982 | − | 0.179618i | ||||
\(85\) | 2.45855 | 0.266667 | ||||||||
\(86\) | −6.82350 | − | 3.72047i | −0.735797 | − | 0.401189i | ||||
\(87\) | 10.7873 | 1.15652 | ||||||||
\(88\) | 15.4644 | + | 7.44725i | 1.64851 | + | 0.793880i | ||||
\(89\) | −7.13427 | − | 4.86406i | −0.756231 | − | 0.515590i | 0.122755 | − | 0.992437i | \(-0.460827\pi\) |
−0.878986 | + | 0.476847i | \(0.841779\pi\) | |||||||
\(90\) | −5.51252 | − | 6.91248i | −0.581071 | − | 0.728640i | ||||
\(91\) | −3.33646 | + | 3.09578i | −0.349756 | + | 0.324526i | ||||
\(92\) | −0.000419851 | 0 | 0.000727204i | −4.37725e−5 | 0 | 7.58163e-5i | ||||
\(93\) | 4.64319 | − | 8.04224i | 0.481476 | − | 0.833941i | ||||
\(94\) | 2.07374 | + | 9.08566i | 0.213890 | + | 0.937115i | ||||
\(95\) | 2.58110 | + | 6.57654i | 0.264815 | + | 0.674739i | ||||
\(96\) | −7.13284 | + | 2.20019i | −0.727993 | + | 0.224556i | ||||
\(97\) | −11.0143 | + | 13.8115i | −1.11833 | + | 1.40234i | −0.213306 | + | 0.976986i | \(0.568423\pi\) |
−0.905026 | + | 0.425357i | \(0.860148\pi\) | |||||||
\(98\) | 0.0587992 | + | 0.784620i | 0.00593961 | + | 0.0792586i | ||||
\(99\) | 12.2666 | + | 3.78373i | 1.23284 | + | 0.380279i | ||||
\(100\) | −2.71282 | + | 1.84957i | −0.271282 | + | 0.184957i | ||||
\(101\) | −9.98838 | + | 1.50551i | −0.993881 | + | 0.149803i | −0.625794 | − | 0.779988i | \(-0.715225\pi\) |
−0.368086 | + | 0.929792i | \(0.619987\pi\) | |||||||
\(102\) | −0.460347 | + | 2.01691i | −0.0455812 | + | 0.199704i | ||||
\(103\) | 10.2237 | + | 9.48624i | 1.00737 | + | 0.934707i | 0.997869 | − | 0.0652474i | \(-0.0207837\pi\) |
0.00950588 | + | 0.999955i | \(0.496974\pi\) | |||||||
\(104\) | −0.377922 | + | 5.04302i | −0.0370583 | + | 0.494509i | ||||
\(105\) | 7.55080 | − | 19.2391i | 0.736883 | − | 1.87755i | ||||
\(106\) | 4.62200 | + | 0.696655i | 0.448929 | + | 0.0676651i | ||||
\(107\) | 6.73185 | − | 3.24189i | 0.650793 | − | 0.313405i | −0.0792013 | − | 0.996859i | \(-0.525237\pi\) |
0.729994 | + | 0.683453i | \(0.239523\pi\) | |||||||
\(108\) | 0.863797 | − | 0.415983i | 0.0831189 | − | 0.0400280i | ||||
\(109\) | 7.53258 | + | 1.13535i | 0.721490 | + | 0.108747i | 0.499515 | − | 0.866305i | \(-0.333512\pi\) |
0.221975 | + | 0.975052i | \(0.428750\pi\) | |||||||
\(110\) | −7.83514 | + | 19.9636i | −0.747051 | + | 1.90346i | ||||
\(111\) | −0.343928 | + | 4.58941i | −0.0326442 | + | 0.435607i | ||||
\(112\) | 4.98211 | + | 4.62272i | 0.470765 | + | 0.436806i | ||||
\(113\) | 1.43538 | − | 6.28879i | 0.135029 | − | 0.591600i | −0.861456 | − | 0.507831i | \(-0.830447\pi\) |
0.996485 | − | 0.0837684i | \(-0.0266956\pi\) | |||||||
\(114\) | −5.87846 | + | 0.886036i | −0.550569 | + | 0.0829849i | ||||
\(115\) | 0.00377927 | − | 0.00257667i | 0.000352419 | − | 0.000240275i | ||||
\(116\) | 2.66535 | + | 0.822152i | 0.247472 | + | 0.0763349i | ||||
\(117\) | 0.282643 | + | 3.77161i | 0.0261304 | + | 0.348686i | ||||
\(118\) | 2.69334 | − | 3.37734i | 0.247942 | − | 0.310909i | ||||
\(119\) | −2.00564 | + | 0.618659i | −0.183857 | + | 0.0567124i | ||||
\(120\) | −8.38973 | − | 21.3767i | −0.765874 | − | 1.95142i | ||||
\(121\) | −4.48106 | − | 19.6328i | −0.407369 | − | 1.78480i | ||||
\(122\) | 5.06719 | − | 8.77664i | 0.458762 | − | 0.794599i | ||||
\(123\) | −8.05927 | − | 13.9591i | −0.726680 | − | 1.25865i | ||||
\(124\) | 1.76019 | − | 1.63322i | 0.158070 | − | 0.146668i | ||||
\(125\) | −1.04209 | − | 1.30674i | −0.0932077 | − | 0.116879i | ||||
\(126\) | 6.23645 | + | 4.25194i | 0.555587 | + | 0.378793i | ||||
\(127\) | −6.89399 | − | 3.31997i | −0.611743 | − | 0.294600i | 0.102243 | − | 0.994759i | \(-0.467398\pi\) |
−0.713986 | + | 0.700159i | \(0.753112\pi\) | |||||||
\(128\) | 3.88928 | 0.343767 | ||||||||
\(129\) | −12.0296 | − | 9.12189i | −1.05915 | − | 0.803138i | ||||
\(130\) | −6.31877 | −0.554193 | ||||||||
\(131\) | −15.7172 | − | 7.56902i | −1.37322 | − | 0.661308i | −0.405678 | − | 0.914016i | \(-0.632965\pi\) |
−0.967543 | + | 0.252708i | \(0.918679\pi\) | |||||||
\(132\) | 6.31891 | + | 4.30816i | 0.549990 | + | 0.374977i | ||||
\(133\) | −3.76051 | − | 4.71553i | −0.326077 | − | 0.408888i | ||||
\(134\) | −8.15693 | + | 7.56853i | −0.704652 | + | 0.653821i | ||||
\(135\) | 2.61125 | + | 4.52283i | 0.224741 | + | 0.389263i | ||||
\(136\) | −1.16605 | + | 2.01965i | −0.0999876 | + | 0.173184i | ||||
\(137\) | −0.579094 | − | 2.53718i | −0.0494753 | − | 0.216766i | 0.944147 | − | 0.329524i | \(-0.106888\pi\) |
−0.993622 | + | 0.112759i | \(0.964031\pi\) | |||||||
\(138\) | 0.00140617 | + | 0.00358285i | 0.000119701 | + | 0.000304993i | ||||
\(139\) | 7.59006 | − | 2.34122i | 0.643780 | − | 0.198580i | 0.0443616 | − | 0.999016i | \(-0.485875\pi\) |
0.599419 | + | 0.800436i | \(0.295398\pi\) | |||||||
\(140\) | 3.33199 | − | 4.17818i | 0.281604 | − | 0.353120i | ||||
\(141\) | 1.35284 | + | 18.0523i | 0.113929 | + | 1.52028i | ||||
\(142\) | −7.82325 | − | 2.41315i | −0.656512 | − | 0.202507i | ||||
\(143\) | 7.58012 | − | 5.16804i | 0.633881 | − | 0.432173i | ||||
\(144\) | 5.58460 | − | 0.841743i | 0.465384 | − | 0.0701453i | ||||
\(145\) | −3.38095 | + | 14.8129i | −0.280773 | + | 1.23015i | ||||
\(146\) | 9.65121 | + | 8.95502i | 0.798740 | + | 0.741123i | ||||
\(147\) | −0.114219 | + | 1.52414i | −0.00942058 | + | 0.125709i | ||||
\(148\) | −0.434761 | + | 1.10775i | −0.0357371 | + | 0.0910566i | ||||
\(149\) | 18.4553 | + | 2.78168i | 1.51191 | + | 0.227884i | 0.852034 | − | 0.523487i | \(-0.175369\pi\) |
0.659880 | + | 0.751371i | \(0.270607\pi\) | |||||||
\(150\) | 13.5593 | − | 6.52982i | 1.10711 | − | 0.533157i | ||||
\(151\) | −8.42384 | + | 4.05671i | −0.685522 | + | 0.330130i | −0.744020 | − | 0.668158i | \(-0.767083\pi\) |
0.0584978 | + | 0.998288i | \(0.481369\pi\) | |||||||
\(152\) | −6.62666 | − | 0.998808i | −0.537493 | − | 0.0810140i | ||||
\(153\) | −0.637207 | + | 1.62358i | −0.0515151 | + | 0.131258i | ||||
\(154\) | 1.36822 | − | 18.2576i | 0.110254 | − | 1.47124i | ||||
\(155\) | 9.58821 | + | 8.89656i | 0.770143 | + | 0.714589i | ||||
\(156\) | −0.501408 | + | 2.19681i | −0.0401448 | + | 0.175886i | ||||
\(157\) | −1.46599 | + | 0.220962i | −0.116999 | + | 0.0176347i | −0.207280 | − | 0.978282i | \(-0.566461\pi\) |
0.0902820 | + | 0.995916i | \(0.471223\pi\) | |||||||
\(158\) | 6.40396 | − | 4.36615i | 0.509472 | − | 0.347352i | ||||
\(159\) | 8.67635 | + | 2.67630i | 0.688080 | + | 0.212244i | ||||
\(160\) | −0.785689 | − | 10.4843i | −0.0621142 | − | 0.828856i | ||||
\(161\) | −0.00243469 | + | 0.00305300i | −0.000191880 | + | 0.000240610i | ||||
\(162\) | −12.0155 | + | 3.70628i | −0.944024 | + | 0.291193i | ||||
\(163\) | 5.31184 | + | 13.5344i | 0.416056 | + | 1.06009i | 0.973258 | + | 0.229715i | \(0.0737796\pi\) |
−0.557202 | + | 0.830377i | \(0.688125\pi\) | |||||||
\(164\) | −0.927419 | − | 4.06329i | −0.0724193 | − | 0.317289i | ||||
\(165\) | −20.8297 | + | 36.0781i | −1.62159 | + | 2.80868i | ||||
\(166\) | 3.38228 | + | 5.85828i | 0.262516 | + | 0.454691i | ||||
\(167\) | −5.81721 | + | 5.39758i | −0.450149 | + | 0.417677i | −0.872393 | − | 0.488805i | \(-0.837433\pi\) |
0.422244 | + | 0.906482i | \(0.361243\pi\) | |||||||
\(168\) | 12.2233 | + | 15.3276i | 0.943051 | + | 1.18255i | ||||
\(169\) | −8.50774 | − | 5.80048i | −0.654441 | − | 0.446191i | ||||
\(170\) | −2.62531 | − | 1.26428i | −0.201352 | − | 0.0969661i | ||||
\(171\) | −5.01198 | −0.383275 | ||||||||
\(172\) | −2.27708 | − | 3.17070i | −0.173626 | − | 0.241764i | ||||
\(173\) | −1.73137 | −0.131634 | −0.0658169 | − | 0.997832i | \(-0.520965\pi\) | ||||
−0.0658169 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(174\) | −11.5190 | − | 5.54724i | −0.873250 | − | 0.420535i | ||||
\(175\) | 12.6156 | + | 8.60118i | 0.953651 | + | 0.650188i | ||||
\(176\) | −8.54136 | − | 10.7105i | −0.643829 | − | 0.807336i | ||||
\(177\) | 6.15122 | − | 5.70750i | 0.462354 | − | 0.429002i | ||||
\(178\) | 5.11688 | + | 8.86270i | 0.383527 | + | 0.664288i | ||||
\(179\) | 4.07203 | − | 7.05296i | 0.304358 | − | 0.527163i | −0.672761 | − | 0.739860i | \(-0.734892\pi\) |
0.977118 | + | 0.212698i | \(0.0682249\pi\) | |||||||
\(180\) | −0.988180 | − | 4.32950i | −0.0736546 | − | 0.322702i | ||||
\(181\) | −4.70194 | − | 11.9804i | −0.349493 | − | 0.890493i | −0.992231 | − | 0.124407i | \(-0.960297\pi\) |
0.642739 | − | 0.766086i | \(-0.277798\pi\) | |||||||
\(182\) | 5.15474 | − | 1.59003i | 0.382095 | − | 0.117861i | ||||
\(183\) | 12.2742 | − | 15.3913i | 0.907333 | − | 1.13776i | ||||
\(184\) | 0.000324238 | 0.00432666i | 2.39032e−5 | 0.000318966i | ||||||
\(185\) | −6.19431 | − | 1.91069i | −0.455414 | − | 0.140477i | ||||
\(186\) | −9.09376 | + | 6.20002i | −0.666787 | + | 0.454608i | ||||
\(187\) | 4.18342 | − | 0.630549i | 0.305922 | − | 0.0461103i | ||||
\(188\) | −1.04160 | + | 4.56353i | −0.0759662 | + | 0.332830i | ||||
\(189\) | −3.26832 | − | 3.03256i | −0.237735 | − | 0.220586i | ||||
\(190\) | 0.625740 | − | 8.34992i | 0.0453959 | − | 0.605767i | ||||
\(191\) | −5.39153 | + | 13.7374i | −0.390118 | + | 0.994003i | 0.592034 | + | 0.805913i | \(0.298325\pi\) |
−0.982152 | + | 0.188090i | \(0.939770\pi\) | |||||||
\(192\) | 19.9261 | + | 3.00337i | 1.43804 | + | 0.216750i | ||||
\(193\) | −15.7520 | + | 7.58576i | −1.13385 | + | 0.546035i | −0.904145 | − | 0.427225i | \(-0.859491\pi\) |
−0.229708 | + | 0.973260i | \(0.573777\pi\) | |||||||
\(194\) | 18.8638 | − | 9.08431i | 1.35434 | − | 0.652216i | ||||
\(195\) | −12.1372 | − | 1.82939i | −0.869165 | − | 0.131006i | ||||
\(196\) | −0.144384 | + | 0.367884i | −0.0103131 | + | 0.0262774i | ||||
\(197\) | −0.204205 | + | 2.72492i | −0.0145490 | + | 0.194143i | 0.985193 | + | 0.171447i | \(0.0548441\pi\) |
−0.999742 | + | 0.0226962i | \(0.992775\pi\) | |||||||
\(198\) | −11.1528 | − | 10.3483i | −0.792598 | − | 0.735423i | ||||
\(199\) | 0.867208 | − | 3.79949i | 0.0614747 | − | 0.269338i | −0.934845 | − | 0.355057i | \(-0.884461\pi\) |
0.996319 | + | 0.0857186i | \(0.0273186\pi\) | |||||||
\(200\) | 16.7757 | − | 2.52853i | 1.18622 | − | 0.178794i | ||||
\(201\) | −17.8592 | + | 12.1762i | −1.25969 | + | 0.858845i | ||||
\(202\) | 11.4401 | + | 3.52879i | 0.804920 | + | 0.248285i | ||||
\(203\) | −0.969336 | − | 12.9349i | −0.0680340 | − | 0.907851i | ||||
\(204\) | −0.647871 | + | 0.812405i | −0.0453601 | + | 0.0568797i | ||||
\(205\) | 21.6943 | − | 6.69181i | 1.51520 | − | 0.467376i | ||||
\(206\) | −6.03900 | − | 15.3871i | −0.420757 | − | 1.07207i | ||||
\(207\) | 0.000722065 | 0.00316357i | 5.01870e−5 | 0.000219883i | ||||||
\(208\) | 2.01814 | − | 3.49552i | 0.139933 | − | 0.242371i | ||||
\(209\) | 6.07864 | + | 10.5285i | 0.420468 | + | 0.728272i | ||||
\(210\) | −17.9565 | + | 16.6612i | −1.23911 | + | 1.14973i | ||||
\(211\) | −6.26808 | − | 7.85992i | −0.431512 | − | 0.541099i | 0.517772 | − | 0.855519i | \(-0.326762\pi\) |
−0.949284 | + | 0.314419i | \(0.898190\pi\) | |||||||
\(212\) | 1.93981 | + | 1.32254i | 0.133226 | + | 0.0908322i | ||||
\(213\) | −14.3284 | − | 6.90020i | −0.981767 | − | 0.472794i | ||||
\(214\) | −8.85557 | −0.605355 | ||||||||
\(215\) | 16.2964 | − | 13.6599i | 1.11140 | − | 0.931595i | ||||
\(216\) | −4.95388 | −0.337069 | ||||||||
\(217\) | −10.0606 | − | 4.84492i | −0.682957 | − | 0.328895i | ||||
\(218\) | −7.45966 | − | 5.08591i | −0.505232 | − | 0.344461i | ||||
\(219\) | 15.9456 | + | 19.9952i | 1.07751 | + | 1.35115i | ||||
\(220\) | −7.89637 | + | 7.32676i | −0.532373 | + | 0.493970i | ||||
\(221\) | 0.623252 | + | 1.07950i | 0.0419244 | + | 0.0726152i | ||||
\(222\) | 2.72731 | − | 4.72384i | 0.183045 | − | 0.317043i | ||||
\(223\) | 3.33401 | + | 14.6072i | 0.223262 | + | 0.978173i | 0.955004 | + | 0.296592i | \(0.0958501\pi\) |
−0.731743 | + | 0.681581i | \(0.761293\pi\) | |||||||
\(224\) | 3.27917 | + | 8.35520i | 0.219099 | + | 0.558255i | ||||
\(225\) | 12.1244 | − | 3.73987i | 0.808290 | − | 0.249324i | ||||
\(226\) | −4.76668 | + | 5.97723i | −0.317075 | + | 0.397599i | ||||
\(227\) | −0.663861 | − | 8.85861i | −0.0440620 | − | 0.587966i | −0.974916 | − | 0.222574i | \(-0.928554\pi\) |
0.930854 | − | 0.365392i | \(-0.119065\pi\) | |||||||
\(228\) | −2.85332 | − | 0.880132i | −0.188966 | − | 0.0582882i | ||||
\(229\) | 16.7625 | − | 11.4285i | 1.10770 | − | 0.755217i | 0.135829 | − | 0.990732i | \(-0.456630\pi\) |
0.971871 | + | 0.235515i | \(0.0756778\pi\) | |||||||
\(230\) | −0.00536064 | 0.000807986i | −0.000353470 | 5.32770e-5i | ||||||
\(231\) | 7.91398 | − | 34.6734i | 0.520702 | − | 2.28134i | ||||
\(232\) | −10.5650 | − | 9.80287i | −0.693625 | − | 0.643590i | ||||
\(233\) | 0.762419 | − | 10.1738i | 0.0499477 | − | 0.666506i | −0.914897 | − | 0.403687i | \(-0.867729\pi\) |
0.964845 | − | 0.262819i | \(-0.0846524\pi\) | |||||||
\(234\) | 1.63770 | − | 4.17278i | 0.107060 | − | 0.272783i | ||||
\(235\) | −25.2132 | − | 3.80028i | −1.64473 | − | 0.247903i | ||||
\(236\) | 1.95486 | − | 0.941410i | 0.127250 | − | 0.0612806i | ||||
\(237\) | 13.5650 | − | 6.53254i | 0.881139 | − | 0.424334i | ||||
\(238\) | 2.45982 | + | 0.370759i | 0.159447 | + | 0.0240327i | ||||
\(239\) | −2.91886 | + | 7.43713i | −0.188805 | + | 0.481068i | −0.993663 | − | 0.112400i | \(-0.964146\pi\) |
0.804858 | + | 0.593468i | \(0.202241\pi\) | |||||||
\(240\) | −1.36968 | + | 18.2772i | −0.0884127 | + | 1.17979i | ||||
\(241\) | 6.16388 | + | 5.71925i | 0.397051 | + | 0.368409i | 0.853280 | − | 0.521453i | \(-0.174610\pi\) |
−0.456229 | + | 0.889862i | \(0.650800\pi\) | |||||||
\(242\) | −5.31095 | + | 23.2688i | −0.341401 | + | 1.49577i | ||||
\(243\) | −19.3750 | + | 2.92031i | −1.24291 | + | 0.187338i | ||||
\(244\) | 4.20579 | − | 2.86746i | 0.269248 | − | 0.183570i | ||||
\(245\) | −2.05713 | − | 0.634540i | −0.131425 | − | 0.0405392i | ||||
\(246\) | 1.42762 | + | 19.0503i | 0.0910218 | + | 1.21460i | ||||
\(247\) | −2.23331 | + | 2.80049i | −0.142102 | + | 0.178191i | ||||
\(248\) | −11.8558 | + | 3.65704i | −0.752847 | + | 0.232223i | ||||
\(249\) | 4.80069 | + | 12.2320i | 0.304231 | + | 0.775168i | ||||
\(250\) | 0.440799 | + | 1.93126i | 0.0278786 | + | 0.122144i | ||||
\(251\) | 9.14704 | − | 15.8431i | 0.577356 | − | 1.00001i | −0.418425 | − | 0.908251i | \(-0.637418\pi\) |
0.995781 | − | 0.0917585i | \(-0.0292488\pi\) | |||||||
\(252\) | 1.89560 | + | 3.28327i | 0.119411 | + | 0.206827i | ||||
\(253\) | 0.00576989 | − | 0.00535367i | 0.000362750 | − | 0.000336583i | ||||
\(254\) | 5.65434 | + | 7.09032i | 0.354785 | + | 0.444886i | ||||
\(255\) | −4.67673 | − | 3.18854i | −0.292868 | − | 0.199674i | ||||
\(256\) | 11.6187 | + | 5.59529i | 0.726172 | + | 0.349706i | ||||
\(257\) | 19.1765 | 1.19620 | 0.598098 | − | 0.801423i | \(-0.295923\pi\) | ||||
0.598098 | + | 0.801423i | \(0.295923\pi\) | |||||||
\(258\) | 8.15471 | + | 15.9267i | 0.507690 | + | 0.991553i | ||||
\(259\) | 5.53401 | 0.343866 | ||||||||
\(260\) | −2.85948 | − | 1.37705i | −0.177337 | − | 0.0854011i | ||||
\(261\) | −8.90586 | − | 6.07191i | −0.551259 | − | 0.375842i | ||||
\(262\) | 12.8910 | + | 16.1648i | 0.796410 | + | 0.998666i | ||||
\(263\) | 10.1950 | − | 9.45955i | 0.628649 | − | 0.583301i | −0.300147 | − | 0.953893i | \(-0.597036\pi\) |
0.928796 | + | 0.370592i | \(0.120845\pi\) | |||||||
\(264\) | −19.7583 | − | 34.2224i | −1.21604 | − | 2.10624i | ||||
\(265\) | −6.39440 | + | 11.0754i | −0.392805 | + | 0.680358i | ||||
\(266\) | 1.59067 | + | 6.96918i | 0.0975302 | + | 0.427308i | ||||
\(267\) | 7.26272 | + | 18.5051i | 0.444471 | + | 1.13249i | ||||
\(268\) | −5.34073 | + | 1.64740i | −0.326237 | + | 0.100631i | ||||
\(269\) | −16.8908 | + | 21.1804i | −1.02985 | + | 1.29139i | −0.0740861 | + | 0.997252i | \(0.523604\pi\) |
−0.955763 | + | 0.294138i | \(0.904967\pi\) | |||||||
\(270\) | −0.462558 | − | 6.17241i | −0.0281504 | − | 0.375641i | ||||
\(271\) | 19.3810 | + | 5.97823i | 1.17731 | + | 0.363152i | 0.820842 | − | 0.571156i | \(-0.193505\pi\) |
0.356467 | + | 0.934308i | \(0.383981\pi\) | |||||||
\(272\) | 1.53789 | − | 1.04852i | 0.0932484 | − | 0.0635757i | ||||
\(273\) | 10.3617 | − | 1.56177i | 0.627118 | − | 0.0945228i | ||||
\(274\) | −0.686342 | + | 3.00706i | −0.0414635 | + | 0.181663i | ||||
\(275\) | −22.5609 | − | 20.9335i | −1.36047 | − | 1.26234i | ||||
\(276\) | −0.000144470 | 0.00192782i | −8.69608e−6 | 0.000116041i | ||||||
\(277\) | 6.37801 | − | 16.2509i | 0.383218 | − | 0.976423i | −0.600966 | − | 0.799274i | \(-0.705217\pi\) |
0.984184 | − | 0.177149i | \(-0.0566873\pi\) | |||||||
\(278\) | −9.30883 | − | 1.40308i | −0.558307 | − | 0.0841512i | ||||
\(279\) | −8.36017 | + | 4.02604i | −0.500510 | + | 0.241033i | ||||
\(280\) | −24.8786 | + | 11.9809i | −1.48678 | + | 0.715997i | ||||
\(281\) | −15.2324 | − | 2.29591i | −0.908688 | − | 0.136963i | −0.321966 | − | 0.946751i | \(-0.604344\pi\) |
−0.586722 | + | 0.809789i | \(0.699582\pi\) | |||||||
\(282\) | 7.83862 | − | 19.9725i | 0.466783 | − | 1.18934i | ||||
\(283\) | −1.21194 | + | 16.1722i | −0.0720423 | + | 0.961338i | 0.837691 | + | 0.546144i | \(0.183905\pi\) |
−0.909733 | + | 0.415193i | \(0.863714\pi\) | |||||||
\(284\) | −3.01441 | − | 2.79696i | −0.178872 | − | 0.165969i | ||||
\(285\) | 3.61938 | − | 15.8575i | 0.214394 | − | 0.939320i | ||||
\(286\) | −10.7519 | + | 1.62058i | −0.635772 | + | 0.0958272i | ||||
\(287\) | −16.0140 | + | 10.9181i | −0.945274 | + | 0.644477i | ||||
\(288\) | 7.12724 | + | 2.19846i | 0.419977 | + | 0.129546i | ||||
\(289\) | −1.22746 | − | 16.3793i | −0.0722032 | − | 0.963485i | ||||
\(290\) | 11.2277 | − | 14.0790i | 0.659310 | − | 0.826749i | ||||
\(291\) | 38.8640 | − | 11.9880i | 2.27825 | − | 0.702747i | ||||
\(292\) | 2.41596 | + | 6.15577i | 0.141384 | + | 0.360239i | ||||
\(293\) | 4.51144 | + | 19.7659i | 0.263561 | + | 1.15474i | 0.917357 | + | 0.398066i | \(0.130318\pi\) |
−0.653796 | + | 0.756671i | \(0.726824\pi\) | |||||||
\(294\) | 0.905738 | − | 1.56878i | 0.0528237 | − | 0.0914934i | ||||
\(295\) | 5.90953 | + | 10.2356i | 0.344066 | + | 0.595940i | ||||
\(296\) | 4.50744 | − | 4.18229i | 0.261989 | − | 0.243091i | ||||
\(297\) | 5.60323 | + | 7.02623i | 0.325132 | + | 0.407703i | ||||
\(298\) | −18.2766 | − | 12.4608i | −1.05874 | − | 0.721833i | ||||
\(299\) | 0.00208942 | + | 0.00100621i | 0.000120835 | + | 5.81908e-5i | ||||
\(300\) | 7.55913 | 0.436427 | ||||||||
\(301\) | −9.85698 | + | 15.2442i | −0.568147 | + | 0.878663i | ||||
\(302\) | 11.0813 | 0.637659 | ||||||||
\(303\) | 20.9527 | + | 10.0903i | 1.20370 | + | 0.579672i | ||||
\(304\) | 4.41930 | + | 3.01303i | 0.253464 | + | 0.172809i | ||||
\(305\) | 17.2882 | + | 21.6787i | 0.989917 | + | 1.24132i | ||||
\(306\) | 1.51533 | − | 1.40602i | 0.0866259 | − | 0.0803771i | ||||
\(307\) | −4.14771 | − | 7.18404i | −0.236722 | − | 0.410015i | 0.723050 | − | 0.690796i | \(-0.242740\pi\) |
−0.959772 | + | 0.280781i | \(0.909406\pi\) | |||||||
\(308\) | 4.59805 | − | 7.96405i | 0.261998 | − | 0.453794i | ||||
\(309\) | −7.14501 | − | 31.3043i | −0.406466 | − | 1.78084i | ||||
\(310\) | −5.66360 | − | 14.4306i | −0.321671 | − | 0.819605i | ||||
\(311\) | −28.6492 | + | 8.83711i | −1.62455 | + | 0.501107i | −0.967528 | − | 0.252766i | \(-0.918660\pi\) |
−0.657021 | + | 0.753872i | \(0.728184\pi\) | |||||||
\(312\) | 7.25927 | − | 9.10284i | 0.410975 | − | 0.515347i | ||||
\(313\) | −0.488509 | − | 6.51870i | −0.0276122 | − | 0.368459i | −0.993844 | − | 0.110786i | \(-0.964663\pi\) |
0.966232 | − | 0.257673i | \(-0.0829558\pi\) | |||||||
\(314\) | 1.67905 | + | 0.517918i | 0.0947543 | + | 0.0292278i | ||||
\(315\) | −17.0631 | + | 11.6334i | −0.961399 | + | 0.655471i | ||||
\(316\) | 3.84955 | − | 0.580226i | 0.216554 | − | 0.0326403i | ||||
\(317\) | 1.74389 | − | 7.64049i | 0.0979468 | − | 0.429133i | −0.902050 | − | 0.431631i | \(-0.857938\pi\) |
0.999997 | + | 0.00249843i | \(0.000795277\pi\) | |||||||
\(318\) | −7.88860 | − | 7.31955i | −0.442371 | − | 0.410460i | ||||
\(319\) | −1.95386 | + | 26.0724i | −0.109395 | + | 1.45978i | ||||
\(320\) | −10.3694 | + | 26.4208i | −0.579668 | + | 1.47697i | ||||
\(321\) | −17.0100 | − | 2.56384i | −0.949405 | − | 0.143100i | ||||
\(322\) | 0.00416980 | − | 0.00200807i | 0.000232374 | − | 0.000111905i | ||||
\(323\) | −1.48823 | + | 0.716692i | −0.0828071 | + | 0.0398778i | ||||
\(324\) | −6.24515 | − | 0.941305i | −0.346953 | − | 0.0522947i | ||||
\(325\) | 3.31287 | − | 8.44106i | 0.183765 | − | 0.468226i | ||||
\(326\) | 1.28776 | − | 17.1839i | 0.0713223 | − | 0.951729i | ||||
\(327\) | −12.8562 | − | 11.9288i | −0.710951 | − | 0.659666i | ||||
\(328\) | −4.79203 | + | 20.9952i | −0.264595 | + | 1.15927i | ||||
\(329\) | 21.5248 | − | 3.24434i | 1.18670 | − | 0.178866i | ||||
\(330\) | 40.7954 | − | 27.8138i | 2.24571 | − | 1.53110i | ||||
\(331\) | −23.1834 | − | 7.15112i | −1.27427 | − | 0.393061i | −0.417463 | − | 0.908694i | \(-0.637081\pi\) |
−0.856810 | + | 0.515633i | \(0.827557\pi\) | |||||||
\(332\) | 0.253910 | + | 3.38819i | 0.0139351 | + | 0.185951i | ||||
\(333\) | 2.86722 | − | 3.59538i | 0.157123 | − | 0.197025i | ||||
\(334\) | 8.98743 | − | 2.77225i | 0.491770 | − | 0.151691i | ||||
\(335\) | −11.1228 | − | 28.3403i | −0.607701 | − | 1.54840i | ||||
\(336\) | −3.48182 | − | 15.2549i | −0.189949 | − | 0.832221i | ||||
\(337\) | 16.5673 | − | 28.6953i | 0.902476 | − | 1.56313i | 0.0782058 | − | 0.996937i | \(-0.475081\pi\) |
0.824270 | − | 0.566197i | \(-0.191586\pi\) | |||||||
\(338\) | 6.10197 | + | 10.5689i | 0.331904 | + | 0.574874i | ||||
\(339\) | −10.8865 | + | 10.1012i | −0.591271 | + | 0.548619i | ||||
\(340\) | −0.912525 | − | 1.14427i | −0.0494886 | − | 0.0620568i | ||||
\(341\) | 18.5968 | + | 12.6791i | 1.00707 | + | 0.686611i | ||||
\(342\) | 5.35193 | + | 2.57735i | 0.289399 | + | 0.139367i | ||||
\(343\) | −17.5407 | −0.947111 | ||||||||
\(344\) | 3.49223 | + | 19.8657i | 0.188289 | + | 1.07109i | ||||
\(345\) | −0.0105308 | −0.000566957 | ||||||||
\(346\) | 1.84881 | + | 0.890340i | 0.0993926 | + | 0.0478650i | ||||
\(347\) | −3.01977 | − | 2.05885i | −0.162110 | − | 0.110525i | 0.479548 | − | 0.877516i | \(-0.340801\pi\) |
−0.641658 | + | 0.766991i | \(0.721753\pi\) | |||||||
\(348\) | −4.00384 | − | 5.02066i | −0.214629 | − | 0.269136i | ||||
\(349\) | 4.09206 | − | 3.79688i | 0.219043 | − | 0.203242i | −0.563017 | − | 0.826445i | \(-0.690359\pi\) |
0.782060 | + | 0.623203i | \(0.214169\pi\) | |||||||
\(350\) | −9.04825 | − | 15.6720i | −0.483649 | − | 0.837705i | ||||
\(351\) | −1.32392 | + | 2.29310i | −0.0706659 | + | 0.122397i | ||||
\(352\) | −4.02583 | − | 17.6383i | −0.214578 | − | 0.940126i | ||||
\(353\) | −1.50000 | − | 3.82194i | −0.0798369 | − | 0.203421i | 0.885382 | − | 0.464864i | \(-0.153897\pi\) |
−0.965219 | + | 0.261443i | \(0.915802\pi\) | |||||||
\(354\) | −9.50346 | + | 2.93143i | −0.505103 | + | 0.155804i | ||||
\(355\) | 13.9661 | − | 17.5129i | 0.741242 | − | 0.929488i | ||||
\(356\) | 0.384128 | + | 5.12583i | 0.0203587 | + | 0.271668i | ||||
\(357\) | 4.61754 | + | 1.42432i | 0.244386 | + | 0.0753832i | ||||
\(358\) | −7.97513 | + | 5.43735i | −0.421499 | + | 0.287373i | ||||
\(359\) | −2.63409 | + | 0.397026i | −0.139022 | + | 0.0209542i | −0.218185 | − | 0.975908i | \(-0.570014\pi\) |
0.0791625 | + | 0.996862i | \(0.474775\pi\) | |||||||
\(360\) | −5.10598 | + | 22.3708i | −0.269109 | + | 1.17904i | ||||
\(361\) | 10.4485 | + | 9.69475i | 0.549919 | + | 0.510250i | ||||
\(362\) | −1.13990 | + | 15.2109i | −0.0599117 | + | 0.799466i | ||||
\(363\) | −16.9381 | + | 43.1576i | −0.889021 | + | 2.26519i | ||||
\(364\) | 2.67923 | + | 0.403829i | 0.140430 | + | 0.0211664i | ||||
\(365\) | −32.4548 | + | 15.6294i | −1.69876 | + | 0.818080i | ||||
\(366\) | −21.0215 | + | 10.1234i | −1.09881 | + | 0.529160i | ||||
\(367\) | 2.72302 | + | 0.410430i | 0.142141 | + | 0.0214243i | 0.219727 | − | 0.975561i | \(-0.429483\pi\) |
−0.0775865 | + | 0.996986i | \(0.524721\pi\) | |||||||
\(368\) | 0.00126515 | − | 0.00322355i | 6.59505e−5 | − | 0.000168039i | ||||
\(369\) | −1.20359 | + | 16.0609i | −0.0626566 | + | 0.836095i | ||||
\(370\) | 5.63191 | + | 5.22564i | 0.292789 | + | 0.271668i | ||||
\(371\) | 2.42947 | − | 10.6442i | 0.126132 | − | 0.552619i | ||||
\(372\) | −5.46644 | + | 0.823933i | −0.283422 | + | 0.0427189i | ||||
\(373\) | 27.6542 | − | 18.8543i | 1.43188 | − | 0.976241i | 0.434751 | − | 0.900551i | \(-0.356836\pi\) |
0.997131 | − | 0.0756903i | \(-0.0241160\pi\) | |||||||
\(374\) | −4.79143 | − | 1.47796i | −0.247759 | − | 0.0764234i | ||||
\(375\) | 0.287561 | + | 3.83724i | 0.0148496 | + | 0.198154i | ||||
\(376\) | 15.0800 | − | 18.9097i | 0.777691 | − | 0.975194i | ||||
\(377\) | −7.36115 | + | 2.27061i | −0.379118 | + | 0.116943i | ||||
\(378\) | 1.93055 | + | 4.91895i | 0.0992966 | + | 0.253004i | ||||
\(379\) | 3.61567 | + | 15.8413i | 0.185725 | + | 0.813713i | 0.978838 | + | 0.204638i | \(0.0656018\pi\) |
−0.793113 | + | 0.609074i | \(0.791541\pi\) | |||||||
\(380\) | 2.10287 | − | 3.64228i | 0.107875 | − | 0.186845i | ||||
\(381\) | 8.80822 | + | 15.2563i | 0.451259 | + | 0.781603i | ||||
\(382\) | 12.8215 | − | 11.8967i | 0.656007 | − | 0.608686i | ||||
\(383\) | −21.5546 | − | 27.0287i | −1.10139 | − | 1.38110i | −0.917303 | − | 0.398191i | \(-0.869638\pi\) |
−0.184088 | − | 0.982910i | \(-0.558933\pi\) | |||||||
\(384\) | −7.39830 | − | 5.04407i | −0.377543 | − | 0.257404i | ||||
\(385\) | 45.1326 | + | 21.7347i | 2.30017 | + | 1.10770i | ||||
\(386\) | 20.7213 | 1.05469 | ||||||||
\(387\) | 4.79700 | + | 14.3021i | 0.243845 | + | 0.727018i | ||||
\(388\) | 10.5163 | 0.533884 | ||||||||
\(389\) | −16.7611 | − | 8.07174i | −0.849823 | − | 0.409253i | −0.0423114 | − | 0.999104i | \(-0.513472\pi\) |
−0.807512 | + | 0.589851i | \(0.799186\pi\) | |||||||
\(390\) | 12.0197 | + | 8.19492i | 0.608643 | + | 0.414966i | ||||
\(391\) | 0.000666784 | 0 | 0.000836120i | 3.37207e−5 | 0 | 4.22844e-5i | ||||
\(392\) | 1.49692 | − | 1.38894i | 0.0756058 | − | 0.0701519i | ||||
\(393\) | 20.0814 | + | 34.7819i | 1.01297 | + | 1.75452i | ||||
\(394\) | 1.61932 | − | 2.80474i | 0.0815801 | − | 0.141301i | ||||
\(395\) | 4.71885 | + | 20.6746i | 0.237431 | + | 1.04025i | ||||
\(396\) | −2.79186 | − | 7.11354i | −0.140296 | − | 0.357469i | ||||
\(397\) | 29.0394 | − | 8.95748i | 1.45745 | − | 0.449563i | 0.538057 | − | 0.842909i | \(-0.319159\pi\) |
0.919391 | + | 0.393346i | \(0.128682\pi\) | |||||||
\(398\) | −2.87987 | + | 3.61125i | −0.144355 | + | 0.181015i | ||||
\(399\) | 1.03770 | + | 13.8471i | 0.0519497 | + | 0.693221i | ||||
\(400\) | −12.9389 | − | 3.99112i | −0.646945 | − | 0.199556i | ||||
\(401\) | −31.2339 | + | 21.2949i | −1.55975 | + | 1.06342i | −0.593820 | + | 0.804598i | \(0.702381\pi\) |
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(402\) | 25.3321 | − | 3.81820i | 1.26345 | − | 0.190435i | ||||
\(403\) | −1.47566 | + | 6.46531i | −0.0735081 | + | 0.322060i | ||||
\(404\) | 4.40802 | + | 4.09005i | 0.219307 | + | 0.203487i | ||||
\(405\) | 2.57095 | − | 34.3070i | 0.127752 | − | 1.70473i | ||||
\(406\) | −5.61654 | + | 14.3107i | −0.278744 | + | 0.710229i | ||||
\(407\) | −11.0301 | − | 1.66252i | −0.546743 | − | 0.0824083i | ||||
\(408\) | 4.83740 | − | 2.32957i | 0.239487 | − | 0.115331i | ||||
\(409\) | −3.84798 | + | 1.85309i | −0.190271 | + | 0.0916294i | −0.526593 | − | 0.850117i | \(-0.676531\pi\) |
0.336323 | + | 0.941747i | \(0.390817\pi\) | |||||||
\(410\) | −26.6070 | − | 4.01036i | −1.31403 | − | 0.198058i | ||||
\(411\) | −2.18894 | + | 5.57733i | −0.107972 | + | 0.275109i | ||||
\(412\) | 0.620450 | − | 8.27933i | 0.0305674 | − | 0.407893i | ||||
\(413\) | −7.39653 | − | 6.86298i | −0.363960 | − | 0.337705i | ||||
\(414\) | 0.000855791 | − | 0.00374947i | 4.20598e−5 | − | 0.000184276i | ||||
\(415\) | −18.3014 | + | 2.75849i | −0.898378 | + | 0.135409i | ||||
\(416\) | 4.40428 | − | 3.00279i | 0.215937 | − | 0.147224i | ||||
\(417\) | −17.4744 | − | 5.39014i | −0.855725 | − | 0.263956i | ||||
\(418\) | −1.07677 | − | 14.3685i | −0.0526666 | − | 0.702787i | ||||
\(419\) | 7.59816 | − | 9.52780i | 0.371195 | − | 0.465463i | −0.560792 | − | 0.827957i | \(-0.689503\pi\) |
0.931986 | + | 0.362494i | \(0.118075\pi\) | |||||||
\(420\) | −11.7569 | + | 3.62654i | −0.573680 | + | 0.176957i | ||||
\(421\) | −3.62044 | − | 9.22474i | −0.176450 | − | 0.449586i | 0.815099 | − | 0.579322i | \(-0.196682\pi\) |
−0.991549 | + | 0.129735i | \(0.958587\pi\) | |||||||
\(422\) | 2.65135 | + | 11.6163i | 0.129066 | + | 0.565475i | ||||
\(423\) | 9.04437 | − | 15.6653i | 0.439752 | − | 0.761673i | ||||
\(424\) | −6.06549 | − | 10.5057i | −0.294566 | − | 0.510204i | ||||
\(425\) | 3.06535 | − | 2.84423i | 0.148691 | − | 0.137965i | ||||
\(426\) | 11.7519 | + | 14.7365i | 0.569383 | + | 0.713984i | ||||
\(427\) | −19.5585 | − | 13.3348i | −0.946502 | − | 0.645314i | ||||
\(428\) | −4.00748 | − | 1.92990i | −0.193709 | − | 0.0932852i | ||||
\(429\) | −21.1216 | −1.01976 | ||||||||
\(430\) | −24.4262 | + | 6.20616i | −1.17793 | + | 0.299288i | ||||
\(431\) | −20.4652 | −0.985772 | −0.492886 | − | 0.870094i | \(-0.664058\pi\) | ||||
−0.492886 | + | 0.870094i | \(0.664058\pi\) | |||||||
\(432\) | 3.56230 | + | 1.71551i | 0.171391 | + | 0.0825376i | ||||
\(433\) | −1.14039 | − | 0.777507i | −0.0548038 | − | 0.0373646i | 0.535608 | − | 0.844467i | \(-0.320082\pi\) |
−0.590412 | + | 0.807102i | \(0.701035\pi\) | |||||||
\(434\) | 8.25153 | + | 10.3471i | 0.396086 | + | 0.496676i | ||||
\(435\) | 25.6425 | − | 23.7927i | 1.22946 | − | 1.14077i | ||||
\(436\) | −2.26740 | − | 3.92725i | −0.108589 | − | 0.188081i | ||||
\(437\) | −0.00153657 | + | 0.00266142i | −7.35042e−5 | + | 0.000127313i | ||||
\(438\) | −6.74489 | − | 29.5513i | −0.322284 | − | 1.41202i | ||||
\(439\) | −3.75806 | − | 9.57538i | −0.179362 | − | 0.457008i | 0.812711 | − | 0.582667i | \(-0.197991\pi\) |
−0.992074 | + | 0.125659i | \(0.959896\pi\) | |||||||
\(440\) | 53.1863 | − | 16.4058i | 2.53556 | − | 0.782116i | ||||
\(441\) | 0.952202 | − | 1.19402i | 0.0453430 | − | 0.0568583i | ||||
\(442\) | −0.110403 | − | 1.47322i | −0.00525133 | − | 0.0700742i | ||||
\(443\) | 5.22921 | + | 1.61300i | 0.248447 | + | 0.0766358i | 0.416477 | − | 0.909146i | \(-0.363264\pi\) |
−0.168030 | + | 0.985782i | \(0.553741\pi\) | |||||||
\(444\) | 2.26368 | − | 1.54335i | 0.107429 | − | 0.0732441i | ||||
\(445\) | −27.6872 | + | 4.17318i | −1.31250 | + | 0.197828i | ||||
\(446\) | 3.95146 | − | 17.3125i | 0.187107 | − | 0.819770i | ||||
\(447\) | −31.4985 | − | 29.2263i | −1.48983 | − | 1.38236i | ||||
\(448\) | 1.81076 | − | 24.1630i | 0.0855506 | − | 1.14159i | ||||
\(449\) | 10.2240 | − | 26.0503i | 0.482499 | − | 1.22939i | −0.457805 | − | 0.889053i | \(-0.651364\pi\) |
0.940304 | − | 0.340335i | \(-0.110541\pi\) | |||||||
\(450\) | −14.8699 | − | 2.24128i | −0.700974 | − | 0.105655i | ||||
\(451\) | 35.1983 | − | 16.9506i | 1.65742 | − | 0.798173i | ||||
\(452\) | −3.45972 | + | 1.66611i | −0.162731 | + | 0.0783674i | ||||
\(453\) | 21.2853 | + | 3.20824i | 1.00007 | + | 0.150736i | ||||
\(454\) | −3.84655 | + | 9.80086i | −0.180528 | + | 0.459977i | ||||
\(455\) | −1.10296 | + | 14.7180i | −0.0517076 | + | 0.689990i | ||||
\(456\) | 11.3100 | + | 10.4942i | 0.529641 | + | 0.491435i | ||||
\(457\) | −8.19722 | + | 35.9144i | −0.383450 | + | 1.68000i | 0.303131 | + | 0.952949i | \(0.401968\pi\) |
−0.686581 | + | 0.727054i | \(0.740889\pi\) | |||||||
\(458\) | −23.7765 | + | 3.58373i | −1.11100 | + | 0.167457i | ||||
\(459\) | −1.00888 | + | 0.687840i | −0.0470903 | + | 0.0321056i | ||||
\(460\) | −0.00260197 | 0.000802602i | −0.000121318 | 3.74215e-5i | ||||||
\(461\) | 0.984869 | + | 13.1422i | 0.0458699 | + | 0.612092i | 0.972014 | + | 0.234922i | \(0.0754836\pi\) |
−0.926144 | + | 0.377170i | \(0.876897\pi\) | |||||||
\(462\) | −26.2812 | + | 32.9556i | −1.22271 | + | 1.53323i | ||||
\(463\) | 27.5468 | − | 8.49706i | 1.28021 | − | 0.394892i | 0.421253 | − | 0.906943i | \(-0.361591\pi\) |
0.858955 | + | 0.512052i | \(0.171114\pi\) | |||||||
\(464\) | 4.20250 | + | 10.7078i | 0.195096 | + | 0.497097i | ||||
\(465\) | −6.70086 | − | 29.3584i | −0.310745 | − | 1.36146i | ||||
\(466\) | −6.04589 | + | 10.4718i | −0.280070 | + | 0.485096i | ||||
\(467\) | 1.62410 | + | 2.81302i | 0.0751544 | + | 0.130171i | 0.901153 | − | 0.433500i | \(-0.142722\pi\) |
−0.825999 | + | 0.563672i | \(0.809388\pi\) | |||||||
\(468\) | 1.65049 | − | 1.53143i | 0.0762941 | − | 0.0707906i | ||||
\(469\) | 16.2052 | + | 20.3207i | 0.748286 | + | 0.938321i | ||||
\(470\) | 24.9691 | + | 17.0237i | 1.15174 | + | 0.785243i | ||||
\(471\) | 3.07521 | + | 1.48094i | 0.141698 | + | 0.0682383i | ||||
\(472\) | −11.2111 | −0.516033 | ||||||||
\(473\) | 24.2262 | − | 27.4229i | 1.11392 | − | 1.26090i | ||||
\(474\) | −17.8443 | −0.819617 | ||||||||
\(475\) | 10.8263 | + | 5.21369i | 0.496747 | + | 0.239221i | ||||
\(476\) | 1.03236 | + | 0.703852i | 0.0473182 | + | 0.0322610i | ||||
\(477\) | −5.65668 | − | 7.09325i | −0.259002 | − | 0.324778i | ||||
\(478\) | 6.94130 | − | 6.44058i | 0.317488 | − | 0.294585i | ||||
\(479\) | 11.1630 | + | 19.3348i | 0.510049 | + | 0.883431i | 0.999932 | + | 0.0116426i | \(0.00370604\pi\) |
−0.489883 | + | 0.871788i | \(0.662961\pi\) | |||||||
\(480\) | −12.1027 | + | 20.9625i | −0.552410 | + | 0.956802i | ||||
\(481\) | −0.731330 | − | 3.20417i | −0.0333458 | − | 0.146097i | ||||
\(482\) | −3.64091 | − | 9.27688i | −0.165839 | − | 0.422550i | ||||
\(483\) | 0.00859082 | − | 0.00264992i | 0.000390896 | − | 0.000120575i | ||||
\(484\) | −7.47438 | + | 9.37258i | −0.339745 | + | 0.426026i | ||||
\(485\) | 4.28091 | + | 57.1247i | 0.194386 | + | 2.59390i | ||||
\(486\) | 22.1909 | + | 6.84499i | 1.00660 | + | 0.310495i | ||||
\(487\) | −11.1751 | + | 7.61906i | −0.506393 | + | 0.345253i | −0.789414 | − | 0.613861i | \(-0.789616\pi\) |
0.283022 | + | 0.959114i | \(0.408663\pi\) | |||||||
\(488\) | −26.0080 | + | 3.92008i | −1.17733 | + | 0.177454i | ||||
\(489\) | 7.44860 | − | 32.6344i | 0.336837 | − | 1.47578i | ||||
\(490\) | 1.87035 | + | 1.73543i | 0.0844940 | + | 0.0783989i | ||||
\(491\) | 0.751481 | − | 10.0278i | 0.0339139 | − | 0.452549i | −0.954236 | − | 0.299055i | \(-0.903328\pi\) |
0.988150 | − | 0.153494i | \(-0.0490525\pi\) | |||||||
\(492\) | −3.50559 | + | 8.93209i | −0.158044 | + | 0.402690i | ||||
\(493\) | −3.51271 | − | 0.529456i | −0.158205 | − | 0.0238455i | ||||
\(494\) | 3.82492 | − | 1.84198i | 0.172091 | − | 0.0828747i | ||||
\(495\) | 37.5044 | − | 18.0612i | 1.68570 | − | 0.811789i | ||||
\(496\) | 9.79187 | + | 1.47589i | 0.439668 | + | 0.0662693i | ||||
\(497\) | −6.98641 | + | 17.8011i | −0.313383 | + | 0.798488i | ||||
\(498\) | 1.16384 | − | 15.5303i | 0.0521528 | − | 0.695931i | ||||
\(499\) | −17.9853 | − | 16.6880i | −0.805135 | − | 0.747056i | 0.165862 | − | 0.986149i | \(-0.446959\pi\) |
−0.970997 | + | 0.239093i | \(0.923150\pi\) | |||||||
\(500\) | −0.221404 | + | 0.970033i | −0.00990147 | + | 0.0433812i | ||||
\(501\) | 18.0659 | − | 2.72299i | 0.807124 | − | 0.121654i | ||||
\(502\) | −17.9146 | + | 12.2140i | −0.799569 | + | 0.545137i | ||||
\(503\) | −18.7167 | − | 5.77333i | −0.834535 | − | 0.257420i | −0.152099 | − | 0.988365i | \(-0.548603\pi\) |
−0.682436 | + | 0.730945i | \(0.739079\pi\) | |||||||
\(504\) | −1.46391 | − | 19.5345i | −0.0652078 | − | 0.870138i | ||||
\(505\) | −20.4228 | + | 25.6094i | −0.908803 | + | 1.13960i | ||||
\(506\) | −0.00891432 | + | 0.00274970i | −0.000396290 | + | 0.000122239i | ||||
\(507\) | 8.66092 | + | 22.0677i | 0.384645 | + | 0.980059i | ||||
\(508\) | 1.01360 | + | 4.44089i | 0.0449714 | + | 0.197033i | ||||
\(509\) | 2.13596 | − | 3.69959i | 0.0946747 | − | 0.163981i | −0.814798 | − | 0.579745i | \(-0.803152\pi\) |
0.909473 | + | 0.415763i | \(0.136486\pi\) | |||||||
\(510\) | 3.35427 | + | 5.80977i | 0.148530 | + | 0.257261i | ||||
\(511\) | 22.5431 | − | 20.9170i | 0.997250 | − | 0.925312i | ||||
\(512\) | −14.3794 | − | 18.0312i | −0.635484 | − | 0.796872i | ||||
\(513\) | −2.89911 | − | 1.97658i | −0.127999 | − | 0.0872681i | ||||
\(514\) | −20.4772 | − | 9.86130i | −0.903210 | − | 0.434963i | ||||
\(515\) | 45.2260 | 1.99290 | ||||||||
\(516\) | 0.219395 | + | 8.98458i | 0.00965833 | + | 0.395524i | ||||
\(517\) | −43.8769 | −1.92970 | ||||||||
\(518\) | −5.90937 | − | 2.84580i | −0.259643 | − | 0.125037i | ||||
\(519\) | 3.29347 | + | 2.24545i | 0.144567 | + | 0.0985642i | ||||
\(520\) | 10.2247 | + | 12.8213i | 0.448382 | + | 0.562253i | ||||
\(521\) | 2.62150 | − | 2.43239i | 0.114850 | − | 0.106565i | −0.620658 | − | 0.784082i | \(-0.713134\pi\) |
0.735507 | + | 0.677517i | \(0.236944\pi\) | |||||||
\(522\) | 6.38752 | + | 11.0635i | 0.279574 | + | 0.484236i | ||||
\(523\) | −0.344694 | + | 0.597027i | −0.0150724 | + | 0.0261062i | −0.873463 | − | 0.486890i | \(-0.838131\pi\) |
0.858391 | + | 0.512996i | \(0.171465\pi\) | |||||||
\(524\) | 2.31086 | + | 10.1245i | 0.100950 | + | 0.442292i | ||||
\(525\) | −12.8428 | − | 32.7228i | −0.560504 | − | 1.42814i | ||||
\(526\) | −15.7509 | + | 4.85852i | −0.686774 | + | 0.211842i | ||||
\(527\) | −1.90671 | + | 2.39094i | −0.0830576 | + | 0.104151i | ||||
\(528\) | 2.35695 | + | 31.4513i | 0.102573 | + | 1.36874i | ||||
\(529\) | −21.9782 | − | 6.77937i | −0.955573 | − | 0.294755i | ||||
\(530\) | 12.5235 | − | 8.53840i | 0.543988 | − | 0.370885i | ||||
\(531\) | −8.29100 | + | 1.24967i | −0.359799 | + | 0.0542310i | ||||
\(532\) | −0.798959 | + | 3.50047i | −0.0346393 | + | 0.151764i | ||||
\(533\) | 8.43783 | + | 7.82916i | 0.365483 | + | 0.339119i | ||||
\(534\) | 1.76071 | − | 23.4951i | 0.0761934 | − | 1.01673i | ||||
\(535\) | 8.85191 | − | 22.5543i | 0.382701 | − | 0.975107i | ||||
\(536\) | 28.5563 | + | 4.30417i | 1.23344 | + | 0.185912i | ||||
\(537\) | −16.8930 | + | 8.13525i | −0.728988 | + | 0.351062i | ||||
\(538\) | 28.9282 | − | 13.9311i | 1.24718 | − | 0.600612i | ||||
\(539\) | −3.66310 | − | 0.552124i | −0.157781 | − | 0.0237817i | ||||
\(540\) | 1.13583 | − | 2.89405i | 0.0488784 | − | 0.124540i | ||||
\(541\) | −2.98772 | + | 39.8684i | −0.128452 | + | 1.71408i | 0.445579 | + | 0.895243i | \(0.352998\pi\) |
−0.574031 | + | 0.818834i | \(0.694621\pi\) | |||||||
\(542\) | −17.6213 | − | 16.3502i | −0.756899 | − | 0.702300i | ||||
\(543\) | −6.59336 | + | 28.8874i | −0.282948 | + | 1.23968i | ||||
\(544\) | 2.43069 | − | 0.366368i | 0.104215 | − | 0.0157079i | ||||
\(545\) | 20.4099 | − | 13.9152i | 0.874263 | − | 0.596063i | ||||
\(546\) | −11.8676 | − | 3.66068i | −0.507888 | − | 0.156663i | ||||
\(547\) | 2.84068 | + | 37.9062i | 0.121459 | + | 1.62075i | 0.641853 | + | 0.766828i | \(0.278166\pi\) |
−0.520394 | + | 0.853926i | \(0.674215\pi\) | |||||||
\(548\) | −0.965926 | + | 1.21123i | −0.0412623 | + | 0.0517413i | ||||
\(549\) | −18.7969 | + | 5.79806i | −0.802231 | + | 0.247455i | ||||
\(550\) | 13.3264 | + | 33.9551i | 0.568239 | + | 1.44785i | ||||
\(551\) | −2.27153 | − | 9.95222i | −0.0967704 | − | 0.423979i | ||||
\(552\) | 0.00499454 | − | 0.00865080i | 0.000212582 | − | 0.000368203i | ||||
\(553\) | −9.05202 | − | 15.6786i | −0.384931 | − | 0.666720i | ||||
\(554\) | −15.1675 | + | 14.0734i | −0.644405 | + | 0.597920i | ||||
\(555\) | 9.30498 | + | 11.6681i | 0.394974 | + | 0.495282i | ||||
\(556\) | −3.90682 | − | 2.66362i | −0.165686 | − | 0.112963i | ||||
\(557\) | −33.9643 | − | 16.3563i | −1.43911 | − | 0.693040i | −0.458445 | − | 0.888723i | \(-0.651593\pi\) |
−0.980667 | + | 0.195683i | \(0.937308\pi\) | |||||||
\(558\) | 10.9976 | 0.465564 | ||||||||
\(559\) | 10.1290 | + | 3.69260i | 0.428410 | + | 0.156180i | ||||
\(560\) | 22.0390 | 0.931318 | ||||||||
\(561\) | −8.77558 | − | 4.22610i | −0.370505 | − | 0.178426i | ||||
\(562\) | 15.0849 | + | 10.2847i | 0.636319 | + | 0.433835i | ||||
\(563\) | −22.6446 | − | 28.3955i | −0.954357 | − | 1.19673i | −0.980391 | − | 0.197065i | \(-0.936859\pi\) |
0.0260336 | − | 0.999661i | \(-0.491712\pi\) | |||||||
\(564\) | 7.89988 | − | 7.33002i | 0.332645 | − | 0.308649i | ||||
\(565\) | −10.4587 | − | 18.1150i | −0.440001 | − | 0.762105i | ||||
\(566\) | 9.61052 | − | 16.6459i | 0.403960 | − | 0.699680i | ||||
\(567\) | 6.53552 | + | 28.6340i | 0.274466 | + | 1.20251i | ||||
\(568\) | 7.76264 | + | 19.7789i | 0.325713 | + | 0.829903i | ||||
\(569\) | 27.5039 | − | 8.48383i | 1.15302 | − | 0.355661i | 0.341444 | − | 0.939902i | \(-0.389084\pi\) |
0.811580 | + | 0.584241i | \(0.198608\pi\) | |||||||
\(570\) | −12.0195 | + | 15.0719i | −0.503439 | + | 0.631293i | ||||
\(571\) | −1.35501 | − | 18.0813i | −0.0567052 | − | 0.756679i | −0.950998 | − | 0.309197i | \(-0.899940\pi\) |
0.894293 | − | 0.447482i | \(-0.147679\pi\) | |||||||
\(572\) | −5.21880 | − | 1.60979i | −0.218209 | − | 0.0673085i | ||||
\(573\) | 28.0722 | − | 19.1393i | 1.17273 | − | 0.799556i | ||||
\(574\) | 22.7147 | − | 3.42369i | 0.948093 | − | 0.142902i | ||||
\(575\) | 0.00173117 | − | 0.00758474i | 7.21947e−5 | − | 0.000316306i | ||||
\(576\) | −14.7602 | − | 13.6955i | −0.615009 | − | 0.570645i | ||||
\(577\) | −0.994996 | + | 13.2773i | −0.0414222 | + | 0.552741i | 0.937430 | + | 0.348173i | \(0.113198\pi\) |
−0.978852 | + | 0.204568i | \(0.934421\pi\) | |||||||
\(578\) | −7.11214 | + | 18.1214i | −0.295826 | + | 0.753752i | ||||
\(579\) | 39.8020 | + | 5.99918i | 1.65411 | + | 0.249318i | ||||
\(580\) | 8.14918 | − | 3.92444i | 0.338376 | − | 0.162953i | ||||
\(581\) | 14.2358 | − | 6.85560i | 0.590600 | − | 0.284418i | ||||
\(582\) | −47.6648 | − | 7.18431i | −1.97577 | − | 0.297799i | ||||
\(583\) | −8.04004 | + | 20.4857i | −0.332984 | + | 0.848430i | ||||
\(584\) | 2.55347 | − | 34.0737i | 0.105663 | − | 1.40998i | ||||
\(585\) | 8.99065 | + | 8.34211i | 0.371718 | + | 0.344904i | ||||
\(586\) | 5.34696 | − | 23.4266i | 0.220881 | − | 0.967742i | ||||
\(587\) | 6.55180 | − | 0.987525i | 0.270422 | − | 0.0407595i | −0.0124315 | − | 0.999923i | \(-0.503957\pi\) |
0.282853 | + | 0.959163i | \(0.408719\pi\) | |||||||
\(588\) | 0.751766 | − | 0.512545i | 0.0310023 | − | 0.0211370i | ||||
\(589\) | −8.39743 | − | 2.59026i | −0.346010 | − | 0.106730i | ||||
\(590\) | −1.04682 | − | 13.9688i | −0.0430967 | − | 0.575085i | ||||
\(591\) | 3.92244 | − | 4.91859i | 0.161348 | − | 0.202324i | ||||
\(592\) | −4.68958 | + | 1.44654i | −0.192740 | + | 0.0594526i | ||||
\(593\) | 1.57645 | + | 4.01673i | 0.0647371 | + | 0.164947i | 0.959582 | − | 0.281431i | \(-0.0908089\pi\) |
−0.894844 | + | 0.446378i | \(0.852714\pi\) | |||||||
\(594\) | −2.37013 | − | 10.3842i | −0.0972475 | − | 0.426069i | ||||
\(595\) | −3.40309 | + | 5.89433i | −0.139513 | + | 0.241644i | ||||
\(596\) | −5.55526 | − | 9.62199i | −0.227552 | − | 0.394132i | ||||
\(597\) | −6.57725 | + | 6.10279i | −0.269189 | + | 0.249771i | ||||
\(598\) | −0.00171371 | − | 0.00214893i | −7.00789e−5 | − | 8.78762e-5i | ||||
\(599\) | 18.5509 | + | 12.6478i | 0.757968 | + | 0.516774i | 0.879549 | − | 0.475808i | \(-0.157844\pi\) |
−0.121581 | + | 0.992581i | \(0.538797\pi\) | |||||||
\(600\) | −35.1905 | − | 16.9468i | −1.43664 | − | 0.691852i | ||||
\(601\) | 3.82446 | 0.156003 | 0.0780015 | − | 0.996953i | \(-0.475146\pi\) | ||||
0.0780015 | + | 0.996953i | \(0.475146\pi\) | |||||||
\(602\) | 18.3647 | − | 11.2094i | 0.748491 | − | 0.456860i | ||||
\(603\) | 21.5981 | 0.879544 | ||||||||
\(604\) | 5.01471 | + | 2.41496i | 0.204046 | + | 0.0982633i | ||||
\(605\) | −53.9546 | − | 36.7856i | −2.19357 | − | 1.49555i | ||||
\(606\) | −17.1851 | − | 21.5494i | −0.698095 | − | 0.875384i | ||||
\(607\) | −17.0366 | + | 15.8077i | −0.691495 | + | 0.641613i | −0.945512 | − | 0.325586i | \(-0.894438\pi\) |
0.254018 | + | 0.967200i | \(0.418248\pi\) | |||||||
\(608\) | 3.53187 | + | 6.11738i | 0.143236 | + | 0.248093i | ||||
\(609\) | −14.9316 | + | 25.8622i | −0.605058 | + | 1.04799i | ||||
\(610\) | −7.31277 | − | 32.0393i | −0.296085 | − | 1.29723i | ||||
\(611\) | −4.72300 | − | 12.0340i | −0.191072 | − | 0.486844i | ||||
\(612\) | 0.992160 | − | 0.306041i | 0.0401057 | − | 0.0123710i | ||||
\(613\) | 2.06228 | − | 2.58602i | 0.0832947 | − | 0.104448i | −0.738438 | − | 0.674321i | \(-0.764436\pi\) |
0.821733 | + | 0.569873i | \(0.193008\pi\) | |||||||
\(614\) | 0.734726 | + | 9.80423i | 0.0296511 | + | 0.395667i | ||||
\(615\) | −49.9463 | − | 15.4064i | −2.01403 | − | 0.621245i | ||||
\(616\) | −39.2602 | + | 26.7671i | −1.58184 | + | 1.07848i | ||||
\(617\) | 34.6142 | − | 5.21724i | 1.39351 | − | 0.210038i | 0.591000 | − | 0.806672i | \(-0.298733\pi\) |
0.802514 | + | 0.596633i | \(0.203495\pi\) | |||||||
\(618\) | −8.46827 | + | 37.1019i | −0.340644 | + | 1.49246i | ||||
\(619\) | −13.1838 | − | 12.2328i | −0.529903 | − | 0.491678i | 0.369239 | − | 0.929334i | \(-0.379618\pi\) |
−0.899142 | + | 0.437656i | \(0.855809\pi\) | |||||||
\(620\) | 0.581881 | − | 7.76467i | 0.0233689 | − | 0.311837i | ||||
\(621\) | −0.000829954 | 0.00211469i | −3.33049e−5 | 8.48595e-5i | ||||||
\(622\) | 35.1368 | + | 5.29603i | 1.40886 | + | 0.212351i | ||||
\(623\) | 21.5366 | − | 10.3715i | 0.862847 | − | 0.415525i | ||||
\(624\) | −8.37237 | + | 4.03192i | −0.335163 | + | 0.161406i | ||||
\(625\) | 21.9097 | + | 3.30236i | 0.876390 | + | 0.132094i | ||||
\(626\) | −2.83053 | + | 7.21207i | −0.113131 | + | 0.288252i | ||||
\(627\) | 2.09165 | − | 27.9111i | 0.0835324 | − | 1.11466i | ||||
\(628\) | 0.646962 | + | 0.600293i | 0.0258166 | + | 0.0239543i | ||||
\(629\) | 0.337250 | − | 1.47759i | 0.0134471 | − | 0.0589154i | ||||
\(630\) | 24.2029 | − | 3.64800i | 0.964266 | − | 0.145340i | ||||
\(631\) | 20.8020 | − | 14.1826i | 0.828114 | − | 0.564599i | −0.0734225 | − | 0.997301i | \(-0.523392\pi\) |
0.901537 | + | 0.432702i | \(0.142440\pi\) | |||||||
\(632\) | −19.2218 | − | 5.92915i | −0.764603 | − | 0.235849i | ||||
\(633\) | 1.72965 | + | 23.0805i | 0.0687473 | + | 0.917369i | ||||
\(634\) | −5.79122 | + | 7.26196i | −0.229999 | + | 0.288409i | ||||
\(635\) | −23.7104 | + | 7.31368i | −0.940917 | + | 0.290235i | ||||
\(636\) | −1.97473 | − | 5.03153i | −0.0783032 | − | 0.199513i | ||||
\(637\) | −0.242875 | − | 1.06410i | −0.00962304 | − | 0.0421613i | ||||
\(638\) | 15.4939 | − | 26.8361i | 0.613408 | − | 1.06245i | ||||
\(639\) | 7.94543 | + | 13.7619i | 0.314316 | + | 0.544412i | ||||
\(640\) | 9.24522 | − | 8.57831i | 0.365449 | − | 0.339088i | ||||
\(641\) | 22.6472 | + | 28.3987i | 0.894511 | + | 1.12168i | 0.991974 | + | 0.126442i | \(0.0403557\pi\) |
−0.0974634 | + | 0.995239i | \(0.531073\pi\) | |||||||
\(642\) | 16.8453 | + | 11.4849i | 0.664832 | + | 0.453275i | ||||
\(643\) | −2.99826 | − | 1.44389i | −0.118240 | − | 0.0569413i | 0.373829 | − | 0.927498i | \(-0.378045\pi\) |
−0.492069 | + | 0.870556i | \(0.663759\pi\) | |||||||
\(644\) | 0.00232461 | 9.16024e−5 | ||||||||
\(645\) | −48.7151 | + | 4.84914i | −1.91816 | + | 0.190935i | ||||
\(646\) | 1.95772 | 0.0770255 | ||||||||
\(647\) | 37.9436 | + | 18.2727i | 1.49172 | + | 0.718372i | 0.989251 | − | 0.146226i | \(-0.0467126\pi\) |
0.502464 | + | 0.864598i | \(0.332427\pi\) | |||||||
\(648\) | 26.9631 | + | 18.3831i | 1.05921 | + | 0.722158i | ||||
\(649\) | 12.6807 | + | 15.9010i | 0.497759 | + | 0.624171i | ||||
\(650\) | −7.87830 | + | 7.31000i | −0.309012 | + | 0.286722i | ||||
\(651\) | 12.8541 | + | 22.2639i | 0.503791 | + | 0.872591i | ||||
\(652\) | 4.32766 | − | 7.49572i | 0.169484 | − | 0.293555i | ||||
\(653\) | −5.31138 | − | 23.2707i | −0.207850 | − | 0.910652i | −0.965994 | − | 0.258564i | \(-0.916751\pi\) |
0.758144 | − | 0.652088i | \(-0.226107\pi\) | |||||||
\(654\) | 7.59397 | + | 19.3491i | 0.296948 | + | 0.756610i | ||||
\(655\) | −54.0559 | + | 16.6740i | −2.11214 | + | 0.651509i | ||||
\(656\) | 10.7165 | − | 13.4381i | 0.418409 | − | 0.524668i | ||||
\(657\) | −1.90971 | − | 25.4833i | −0.0745048 | − | 0.994197i | ||||
\(658\) | −24.6531 | − | 7.60448i | −0.961079 | − | 0.296454i | ||||
\(659\) | −3.95025 | + | 2.69323i | −0.153880 | + | 0.104913i | −0.637812 | − | 0.770192i | \(-0.720160\pi\) |
0.483932 | + | 0.875105i | \(0.339208\pi\) | |||||||
\(660\) | 24.5229 | − | 3.69623i | 0.954553 | − | 0.143876i | ||||
\(661\) | 3.18440 | − | 13.9518i | 0.123859 | − | 0.542662i | −0.874481 | − | 0.485060i | \(-0.838798\pi\) |
0.998340 | − | 0.0576012i | \(-0.0183452\pi\) | |||||||
\(662\) | 21.0785 | + | 19.5580i | 0.819238 | + | 0.760142i | ||||
\(663\) | 0.214460 | − | 2.86177i | 0.00832893 | − | 0.111142i | ||||
\(664\) | 6.41395 | − | 16.3425i | 0.248910 | − | 0.634211i | ||||
\(665\) | −19.3398 | − | 2.91501i | −0.749966 | − | 0.113039i | ||||
\(666\) | −4.91058 | + | 2.36481i | −0.190281 | + | 0.0916346i | ||||
\(667\) | −0.00595462 | + | 0.00286759i | −0.000230564 | + | 0.000111034i | ||||
\(668\) | 4.67130 | + | 0.704086i | 0.180738 | + | 0.0272419i | ||||
\(669\) | 12.6023 | − | 32.1102i | 0.487234 | − | 1.24145i | ||||
\(670\) | −2.69650 | + | 35.9824i | −0.104175 | + | 1.39012i | ||||
\(671\) | 34.9771 | + | 32.4540i | 1.35028 | + | 1.25287i | ||||
\(672\) | 4.59826 | − | 20.1463i | 0.177382 | − | 0.777161i | ||||
\(673\) | −22.9150 | + | 3.45387i | −0.883307 | + | 0.133137i | −0.575003 | − | 0.818151i | \(-0.694999\pi\) |
−0.308303 | + | 0.951288i | \(0.599761\pi\) | |||||||
\(674\) | −32.4472 | + | 22.1222i | −1.24982 | + | 0.852114i | ||||
\(675\) | 8.48806 | + | 2.61822i | 0.326706 | + | 0.100775i | ||||
\(676\) | 0.458079 | + | 6.11264i | 0.0176184 | + | 0.235101i | ||||
\(677\) | 8.82015 | − | 11.0601i | 0.338986 | − | 0.425075i | −0.582895 | − | 0.812547i | \(-0.698080\pi\) |
0.921881 | + | 0.387472i | \(0.126652\pi\) | |||||||
\(678\) | 16.8193 | − | 5.18806i | 0.645940 | − | 0.199246i | ||||
\(679\) | −17.8669 | − | 45.5241i | −0.685669 | − | 1.74706i | ||||
\(680\) | 1.68279 | + | 7.37278i | 0.0645320 | + | 0.282733i | ||||
\(681\) | −10.2261 | + | 17.7121i | −0.391864 | + | 0.678728i | ||||
\(682\) | −13.3381 | − | 23.1023i | −0.510743 | − | 0.884632i | ||||
\(683\) | −34.9013 | + | 32.3837i | −1.33546 | + | 1.23913i | −0.387060 | + | 0.922054i | \(0.626509\pi\) |
−0.948401 | + | 0.317073i | \(0.897300\pi\) | |||||||
\(684\) | 1.86026 | + | 2.33270i | 0.0711290 | + | 0.0891929i | ||||
\(685\) | −6.97264 | − | 4.75386i | −0.266411 | − | 0.181636i | ||||
\(686\) | 18.7305 | + | 9.02014i | 0.715134 | + | 0.344390i | ||||
\(687\) | −46.7080 | −1.78202 | ||||||||
\(688\) | 4.36820 | − | 15.4947i | 0.166536 | − | 0.590728i | ||||
\(689\) | −6.48401 | −0.247021 | ||||||||
\(690\) | 0.0112450 | + | 0.00541533i | 0.000428092 | + | 0.000206158i | ||||
\(691\) | 34.1689 | + | 23.2959i | 1.29985 | + | 0.886220i | 0.997749 | − | 0.0670578i | \(-0.0213612\pi\) |
0.302096 | + | 0.953277i | \(0.402314\pi\) | |||||||
\(692\) | 0.642623 | + | 0.805824i | 0.0244289 | + | 0.0306328i | ||||
\(693\) | −26.0506 | + | 24.1714i | −0.989581 | + | 0.918197i | ||||
\(694\) | 2.16586 | + | 3.75138i | 0.0822149 | + | 0.142400i | ||||
\(695\) | 12.8785 | − | 22.3062i | 0.488509 | − | 0.846122i | ||||
\(696\) | 7.38349 | + | 32.3492i | 0.279871 | + | 1.22619i | ||||
\(697\) | 1.93925 | + | 4.94112i | 0.0734543 | + | 0.187158i | ||||
\(698\) | −6.32213 | + | 1.95012i | −0.239296 | + | 0.0738131i | ||||
\(699\) | −14.6448 | + | 18.3640i | −0.553919 | + | 0.694592i | ||||
\(700\) | −0.679258 | − | 9.06407i | −0.0256735 | − | 0.342590i | ||||
\(701\) | 45.7066 | + | 14.0986i | 1.72632 | + | 0.532498i | 0.989618 | − | 0.143725i | \(-0.0459079\pi\) |
0.736698 | + | 0.676222i | \(0.236384\pi\) | |||||||
\(702\) | 2.59293 | − | 1.76783i | 0.0978638 | − | 0.0667224i | ||||
\(703\) | 4.30656 | − | 0.649110i | 0.162425 | − | 0.0244816i | ||||
\(704\) | −10.8682 | + | 47.6166i | −0.409610 | + | 1.79462i | ||||
\(705\) | 43.0326 | + | 39.9284i | 1.62070 | + | 1.50379i | ||||
\(706\) | −0.363647 | + | 4.85253i | −0.0136860 | + | 0.182627i | ||||
\(707\) | 10.2163 | − | 26.0308i | 0.384225 | − | 0.978990i | ||||
\(708\) | −4.93952 | − | 0.744513i | −0.185638 | − | 0.0279805i | ||||
\(709\) | −26.2688 | + | 12.6504i | −0.986547 | + | 0.475096i | −0.856352 | − | 0.516392i | \(-0.827275\pi\) |
−0.130195 | + | 0.991488i | \(0.541560\pi\) | |||||||
\(710\) | −23.9192 | + | 11.5189i | −0.897671 | + | 0.432296i | ||||
\(711\) | −14.8761 | − | 2.24221i | −0.557898 | − | 0.0840896i | ||||
\(712\) | 9.70335 | − | 24.7237i | 0.363648 | − | 0.926561i | ||||
\(713\) | −0.000425181 | 0.00567365i | −1.59232e−5 | 0.000212480i | ||||||
\(714\) | −4.19830 | − | 3.89545i | −0.157117 | − | 0.145784i | ||||
\(715\) | 6.61995 | − | 29.0039i | 0.247572 | − | 1.08468i | ||||
\(716\) | −4.79401 | + | 0.722580i | −0.179160 | + | 0.0270041i | ||||
\(717\) | 15.1977 | − | 10.3616i | 0.567567 | − | 0.386961i | ||||
\(718\) | 3.01693 | + | 0.930599i | 0.112591 | + | 0.0347296i | ||||
\(719\) | 0.145367 | + | 1.93979i | 0.00542127 | + | 0.0723418i | 0.999258 | − | 0.0385100i | \(-0.0122612\pi\) |
−0.993837 | + | 0.110852i | \(0.964642\pi\) | |||||||
\(720\) | 11.4186 | − | 14.3185i | 0.425546 | − | 0.533618i | ||||
\(721\) | −36.8946 | + | 11.3805i | −1.37403 | + | 0.423831i | ||||
\(722\) | −6.17174 | − | 15.7253i | −0.229688 | − | 0.585236i | ||||
\(723\) | −4.30772 | − | 18.8734i | −0.160206 | − | 0.701908i | ||||
\(724\) | −3.83076 | + | 6.63507i | −0.142369 | + | 0.246591i | ||||
\(725\) | 12.9212 | + | 22.3802i | 0.479882 | + | 0.831180i | ||||
\(726\) | 40.2803 | − | 37.3747i | 1.49494 | − | 1.38710i | ||||
\(727\) | 5.86302 | + | 7.35200i | 0.217447 | + | 0.272670i | 0.878576 | − | 0.477602i | \(-0.158494\pi\) |
−0.661129 | + | 0.750272i | \(0.729922\pi\) | |||||||
\(728\) | −11.5674 | − | 7.88653i | −0.428717 | − | 0.292294i | ||||
\(729\) | 11.9673 | + | 5.76313i | 0.443232 | + | 0.213449i | ||||
\(730\) | 42.6934 | 1.58015 | ||||||||
\(731\) | 3.46954 | + | 3.56084i | 0.128326 | + | 0.131702i | ||||
\(732\) | −11.7192 | −0.433155 | ||||||||
\(733\) | 11.3172 | + | 5.45007i | 0.418010 | + | 0.201303i | 0.631053 | − | 0.775740i | \(-0.282623\pi\) |
−0.213043 | + | 0.977043i | \(0.568337\pi\) | |||||||
\(734\) | −2.69666 | − | 1.83855i | −0.0995356 | − | 0.0678622i | ||||
\(735\) | 3.09018 | + | 3.87496i | 0.113983 | + | 0.142930i | ||||
\(736\) | 0.00335248 | − | 0.00311065i | 0.000123574 | − | 0.000114660i | ||||
\(737\) | −26.1947 | − | 45.3706i | −0.964895 | − | 1.67125i | ||||
\(738\) | 9.54435 | − | 16.5313i | 0.351332 | − | 0.608526i | ||||
\(739\) | −9.29738 | − | 40.7345i | −0.342010 | − | 1.49844i | −0.794825 | − | 0.606838i | \(-0.792437\pi\) |
0.452815 | − | 0.891604i | \(-0.350420\pi\) | |||||||
\(740\) | 1.40982 | + | 3.59216i | 0.0518260 | + | 0.132050i | ||||
\(741\) | 7.88027 | − | 2.43074i | 0.289489 | − | 0.0892955i | ||||
\(742\) | −8.06792 | + | 10.1169i | −0.296183 | + | 0.371401i | ||||
\(743\) | 0.118093 | + | 1.57585i | 0.00433243 | + | 0.0578122i | 0.998951 | − | 0.0457926i | \(-0.0145813\pi\) |
−0.994619 | + | 0.103605i | \(0.966962\pi\) | |||||||
\(744\) | 27.2954 | + | 8.41952i | 1.00070 | + | 0.308674i | ||||
\(745\) | 50.0054 | − | 34.0931i | 1.83206 | − | 1.24908i | ||||
\(746\) | −39.2256 | + | 5.91231i | −1.43615 | + | 0.216465i | ||||
\(747\) | 2.92169 | − | 12.8008i | 0.106899 | − | 0.468356i | ||||
\(748\) | −1.84621 | − | 1.71303i | −0.0675040 | − | 0.0626345i | ||||
\(749\) | −1.54577 | + | 20.6269i | −0.0564812 | + | 0.753689i | ||||
\(750\) | 1.66619 | − | 4.24539i | 0.0608407 | − | 0.155020i | ||||
\(751\) | −6.12248 | − | 0.922815i | −0.223412 | − | 0.0336740i | 0.0363820 | − | 0.999338i | \(-0.488417\pi\) |
−0.259794 | + | 0.965664i | \(0.583655\pi\) | |||||||
\(752\) | −17.3923 | + | 8.37568i | −0.634231 | + | 0.305430i | ||||
\(753\) | −37.9470 | + | 18.2743i | −1.38286 | + | 0.665953i | ||||
\(754\) | 9.02808 | + | 1.36076i | 0.328783 | + | 0.0495561i | ||||
\(755\) | −11.0767 | + | 28.2231i | −0.403124 | + | 1.02714i | ||||
\(756\) | −0.198345 | + | 2.64673i | −0.00721375 | + | 0.0962607i | ||||
\(757\) | 4.19269 | + | 3.89025i | 0.152386 | + | 0.141394i | 0.752682 | − | 0.658385i | \(-0.228760\pi\) |
−0.600296 | + | 0.799778i | \(0.704950\pi\) | |||||||
\(758\) | 4.28529 | − | 18.7751i | 0.155649 | − | 0.681942i | ||||
\(759\) | −0.0179189 | + | 0.00270084i | −0.000650415 | + | 9.80343e-5i | ||||
\(760\) | −17.9553 | + | 12.2417i | −0.651305 | + | 0.444052i | ||||
\(761\) | 16.3236 | + | 5.03516i | 0.591729 | + | 0.182524i | 0.576136 | − | 0.817354i | \(-0.304560\pi\) |
0.0155937 | + | 0.999878i | \(0.495036\pi\) | |||||||
\(762\) | −1.56029 | − | 20.8206i | −0.0565234 | − | 0.754252i | ||||
\(763\) | −13.1485 | + | 16.4877i | −0.476006 | + | 0.596893i | ||||
\(764\) | 8.39487 | − | 2.58947i | 0.303716 | − | 0.0936838i | ||||
\(765\) | 2.06630 | + | 5.26485i | 0.0747073 | + | 0.190351i | ||||
\(766\) | 9.11747 | + | 39.9462i | 0.329427 | + | 1.44332i | ||||
\(767\) | −2.99617 | + | 5.18952i | −0.108185 | + | 0.187383i | ||||
\(768\) | −14.8449 | − | 25.7121i | −0.535668 | − | 0.927805i | ||||
\(769\) | 1.75024 | − | 1.62399i | 0.0631153 | − | 0.0585624i | −0.647985 | − | 0.761653i | \(-0.724388\pi\) |
0.711100 | + | 0.703091i | \(0.248197\pi\) | |||||||
\(770\) | −37.0170 | − | 46.4179i | −1.33400 | − | 1.67279i | ||||
\(771\) | −36.4780 | − | 24.8703i | −1.31372 | − | 0.895682i | ||||
\(772\) | 9.37717 | + | 4.51581i | 0.337492 | + | 0.162527i | ||||
\(773\) | 1.76858 | 0.0636114 | 0.0318057 | − | 0.999494i | \(-0.489874\pi\) | ||||
0.0318057 | + | 0.999494i | \(0.489874\pi\) | |||||||
\(774\) | 2.23234 | − | 17.7390i | 0.0802399 | − | 0.637616i | ||||
\(775\) | 22.2468 | 0.799130 | ||||||||
\(776\) | −48.9571 | − | 23.5765i | −1.75746 | − | 0.846348i | ||||
\(777\) | −10.5269 | − | 7.17715i | −0.377652 | − | 0.257479i | ||||
\(778\) | 13.7472 | + | 17.2385i | 0.492862 | + | 0.618029i | ||||
\(779\) | −11.1814 | + | 10.3748i | −0.400616 | + | 0.371717i | ||||
\(780\) | 3.65346 | + | 6.32797i | 0.130815 | + | 0.226578i | ||||
\(781\) | 19.2728 | − | 33.3815i | 0.689635 | − | 1.19448i | ||||
\(782\) | −0.000282045 | − | 0.00123572i | −1.00859e−5 | − | 4.41892e-5i | ||||
\(783\) | −2.75689 | − | 7.02443i | −0.0985231 | − | 0.251033i | ||||
\(784\) | −1.55741 | + | 0.480396i | −0.0556217 | + | 0.0171570i | ||||
\(785\) | −2.99744 | + | 3.75867i | −0.106983 | + | 0.134153i | ||||
\(786\) | −3.55722 | − | 47.4678i | −0.126882 | − | 1.69312i | ||||
\(787\) | 31.5189 | + | 9.72230i | 1.12353 | + | 0.346563i | 0.800205 | − | 0.599726i | \(-0.204724\pi\) |
0.323323 | + | 0.946289i | \(0.395200\pi\) | |||||||
\(788\) | 1.34404 | − | 0.916351i | 0.0478794 | − | 0.0326437i | ||||
\(789\) | −31.6614 | + | 4.77219i | −1.12718 | + | 0.169894i | ||||
\(790\) | 5.59278 | − | 24.5036i | 0.198982 | − | 0.871798i | ||||
\(791\) | 13.0904 | + | 12.1461i | 0.465442 | + | 0.431867i | ||||
\(792\) | −2.95076 | + | 39.3752i | −0.104851 | + | 1.39914i | ||||
\(793\) | −5.13608 | + | 13.0865i | −0.182387 | + | 0.464716i | ||||
\(794\) | −35.6154 | − | 5.36816i | −1.26394 | − | 0.190509i | ||||
\(795\) | 26.5275 | − | 12.7750i | 0.940834 | − | 0.453082i | ||||
\(796\) | −2.09025 | + | 1.00661i | −0.0740870 | + | 0.0356784i | ||||
\(797\) | 22.3286 | + | 3.36550i | 0.790921 | + | 0.119212i | 0.532065 | − | 0.846704i | \(-0.321416\pi\) |
0.258856 | + | 0.965916i | \(0.416654\pi\) | |||||||
\(798\) | 6.01263 | − | 15.3199i | 0.212845 | − | 0.542320i | ||||
\(799\) | 0.445506 | − | 5.94487i | 0.0157609 | − | 0.210314i | ||||
\(800\) | −13.1086 | − | 12.1630i | −0.463458 | − | 0.430026i | ||||
\(801\) | 4.42008 | − | 19.3657i | 0.156176 | − | 0.684252i | ||||
\(802\) | 44.3031 | − | 6.67762i | 1.56440 | − | 0.235795i | ||||
\(803\) | −51.2158 | + | 34.9184i | −1.80737 | + | 1.23224i | ||||
\(804\) | 12.2958 | + | 3.79276i | 0.433640 | + | 0.133760i | ||||
\(805\) | 0.000946286 | 0.0126273i | 3.33522e−5 | 0.000445054i | ||||||
\(806\) | 4.90047 | − | 6.14499i | 0.172612 | − | 0.216448i | ||||
\(807\) | 59.5993 | − | 18.3839i | 2.09799 | − | 0.647146i | ||||
\(808\) | −11.3514 | − | 28.9230i | −0.399342 | − | 1.01751i | ||||
\(809\) | 2.39510 | + | 10.4936i | 0.0842072 | + | 0.368936i | 0.999421 | − | 0.0340335i | \(-0.0108353\pi\) |
−0.915213 | + | 0.402969i | \(0.867978\pi\) | |||||||
\(810\) | −20.3873 | + | 35.3119i | −0.716337 | + | 1.24073i | ||||
\(811\) | −9.44394 | − | 16.3574i | −0.331621 | − | 0.574385i | 0.651208 | − | 0.758899i | \(-0.274262\pi\) |
−0.982830 | + | 0.184514i | \(0.940929\pi\) | |||||||
\(812\) | −5.66043 | + | 5.25211i | −0.198642 | + | 0.184313i | ||||
\(813\) | −29.1137 | − | 36.5074i | −1.02106 | − | 1.28037i | ||||
\(814\) | 10.9234 | + | 7.44742i | 0.382863 | + | 0.261032i | ||||
\(815\) | 42.4786 | + | 20.4566i | 1.48796 | + | 0.716563i | ||||
\(816\) | −4.28526 | −0.150014 | ||||||||
\(817\) | −5.88263 | + | 13.0192i | −0.205807 | + | 0.455485i | ||||
\(818\) | 5.06192 | 0.176986 | ||||||||
\(819\) | −9.43359 | − | 4.54298i | −0.329636 | − | 0.158744i | ||||
\(820\) | −11.1667 | − | 7.61331i | −0.389957 | − | 0.265868i | ||||
\(821\) | −29.5066 | − | 37.0001i | −1.02979 | − | 1.29131i | −0.955789 | − | 0.294053i | \(-0.904996\pi\) |
−0.0739969 | − | 0.997258i | \(-0.523576\pi\) | |||||||
\(822\) | 5.20549 | − | 4.82999i | 0.181562 | − | 0.168465i | ||||
\(823\) | −0.551677 | − | 0.955532i | −0.0192302 | − | 0.0333078i | 0.856250 | − | 0.516561i | \(-0.172788\pi\) |
−0.875480 | + | 0.483254i | \(0.839455\pi\) | |||||||
\(824\) | −21.4499 | + | 37.1522i | −0.747241 | + | 1.29426i | ||||
\(825\) | 15.7670 | + | 69.0799i | 0.548938 | + | 2.40505i | ||||
\(826\) | 4.36902 | + | 11.1321i | 0.152018 | + | 0.387334i | ||||
\(827\) | 21.0646 | − | 6.49756i | 0.732487 | − | 0.225942i | 0.0939973 | − | 0.995572i | \(-0.470035\pi\) |
0.638490 | + | 0.769630i | \(0.279559\pi\) | |||||||
\(828\) | 0.00120440 | − | 0.00151027i | 4.18558e−5 | − | 5.24855e-5i | ||||
\(829\) | −3.82921 | − | 51.0972i | −0.132994 | − | 1.77468i | −0.521518 | − | 0.853241i | \(-0.674634\pi\) |
0.388524 | − | 0.921439i | \(-0.372985\pi\) | |||||||
\(830\) | 20.9612 | + | 6.46568i | 0.727575 | + | 0.224427i | ||||
\(831\) | −33.2085 | + | 22.6412i | −1.15199 | + | 0.785414i | ||||
\(832\) | −14.2296 | + | 2.14476i | −0.493321 | + | 0.0743563i | ||||
\(833\) | 0.112001 | − | 0.490707i | 0.00388060 | − | 0.0170020i | ||||
\(834\) | 15.8878 | + | 14.7418i | 0.550151 | + | 0.510465i | ||||
\(835\) | −1.92304 | + | 25.6612i | −0.0665496 | + | 0.888043i | ||||
\(836\) | 2.64406 | − | 6.73695i | 0.0914467 | − | 0.233002i | ||||
\(837\) | −6.42358 | − | 0.968199i | −0.222031 | − | 0.0334659i | ||||
\(838\) | −13.0131 | + | 6.26678i | −0.449530 | + | 0.216482i | ||||
\(839\) | 10.0756 | − | 4.85214i | 0.347847 | − | 0.167514i | −0.251799 | − | 0.967780i | \(-0.581022\pi\) |
0.599646 | + | 0.800265i | \(0.295308\pi\) | |||||||
\(840\) | 62.8631 | + | 9.47509i | 2.16898 | + | 0.326922i | ||||
\(841\) | −2.57428 | + | 6.55915i | −0.0887682 | + | 0.226178i | ||||
\(842\) | −0.877709 | + | 11.7122i | −0.0302479 | + | 0.403630i | ||||
\(843\) | 25.9979 | + | 24.1225i | 0.895414 | + | 0.830823i | ||||
\(844\) | −1.33172 | + | 5.83464i | −0.0458396 | + | 0.200837i | ||||
\(845\) | −33.0175 | + | 4.97658i | −1.13584 | + | 0.171200i | ||||
\(846\) | −17.7135 | + | 12.0769i | −0.609004 | + | 0.415212i | ||||
\(847\) | 53.2718 | + | 16.4322i | 1.83044 | + | 0.564616i | ||||
\(848\) | 0.723546 | + | 9.65505i | 0.0248467 | + | 0.331556i | ||||
\(849\) | 23.2794 | − | 29.1914i | 0.798947 | − | 1.00185i | ||||
\(850\) | −4.73588 | + | 1.46082i | −0.162439 | + | 0.0501059i | ||||
\(851\) | −0.00103016 | − | 0.00262480i | −3.53133e−5 | − | 8.99769e-5i | ||||
\(852\) | 2.10667 | + | 9.22991i | 0.0721732 | + | 0.316211i | ||||
\(853\) | −10.4719 | + | 18.1379i | −0.358553 | + | 0.621031i | −0.987719 | − | 0.156239i | \(-0.950063\pi\) |
0.629167 | + | 0.777270i | \(0.283396\pi\) | |||||||
\(854\) | 14.0279 | + | 24.2970i | 0.480024 | + | 0.831425i | ||||
\(855\) | −11.9140 | + | 11.0546i | −0.407450 | + | 0.378058i | ||||
\(856\) | 14.3296 | + | 17.9687i | 0.489775 | + | 0.614159i | ||||
\(857\) | 6.50785 | + | 4.43698i | 0.222304 | + | 0.151564i | 0.669351 | − | 0.742946i | \(-0.266572\pi\) |
−0.447047 | + | 0.894510i | \(0.647524\pi\) | |||||||
\(858\) | 22.5543 | + | 10.8616i | 0.769991 | + | 0.370808i | ||||
\(859\) | −42.8104 | −1.46067 | −0.730337 | − | 0.683087i | \(-0.760637\pi\) | ||||
−0.730337 | + | 0.683087i | \(0.760637\pi\) | |||||||
\(860\) | −12.4063 | − | 2.51468i | −0.423050 | − | 0.0857499i | ||||
\(861\) | 44.6221 | 1.52072 | ||||||||
\(862\) | 21.8533 | + | 10.5240i | 0.744326 | + | 0.358448i | ||||
\(863\) | 0.563855 | + | 0.384430i | 0.0191939 | + | 0.0130861i | 0.572879 | − | 0.819640i | \(-0.305826\pi\) |
−0.553685 | + | 0.832726i | \(0.686779\pi\) | |||||||
\(864\) | 3.25565 | + | 4.08245i | 0.110759 | + | 0.138888i | ||||
\(865\) | −4.11565 | + | 3.81877i | −0.139936 | + | 0.129842i | ||||
\(866\) | 0.817920 | + | 1.41668i | 0.0277941 | + | 0.0481407i | ||||
\(867\) | −18.9076 | + | 32.7490i | −0.642137 | + | 1.11221i | ||||
\(868\) | 1.47918 | + | 6.48070i | 0.0502066 | + | 0.219969i | ||||
\(869\) | 13.3319 | + | 33.9692i | 0.452255 | + | 1.15233i | ||||
\(870\) | −39.6169 | + | 12.2202i | −1.34314 | + | 0.414303i | ||||
\(871\) | 9.62403 | − | 12.0682i | 0.326098 | − | 0.408914i | ||||
\(872\) | 1.75104 | + | 23.3660i | 0.0592977 | + | 0.791273i | ||||
\(873\) | −38.8335 | − | 11.9785i | −1.31431 | − | 0.405412i | ||||
\(874\) | 0.00300940 | − | 0.00205177i | 0.000101794 | − | 6.94023e-5i | ||||
\(875\) | 4.57534 | − | 0.689622i | 0.154675 | − | 0.0233135i | ||||
\(876\) | 3.38781 | − | 14.8430i | 0.114464 | − | 0.501498i | ||||
\(877\) | −25.4736 | − | 23.6361i | −0.860183 | − | 0.798133i | 0.120709 | − | 0.992688i | \(-0.461483\pi\) |
−0.980892 | + | 0.194555i | \(0.937674\pi\) | |||||||
\(878\) | −0.911072 | + | 12.1574i | −0.0307472 | + | 0.410293i | ||||
\(879\) | 17.0530 | − | 43.4502i | 0.575182 | − | 1.46554i | ||||
\(880\) | −43.9271 | − | 6.62095i | −1.48078 | − | 0.223192i | ||||
\(881\) | 3.50466 | − | 1.68776i | 0.118075 | − | 0.0568620i | −0.373914 | − | 0.927463i | \(-0.621984\pi\) |
0.491989 | + | 0.870602i | \(0.336270\pi\) | |||||||
\(882\) | −1.63080 | + | 0.785353i | −0.0549120 | + | 0.0264442i | ||||
\(883\) | 36.9489 | + | 5.56915i | 1.24343 | + | 0.187417i | 0.737613 | − | 0.675224i | \(-0.235953\pi\) |
0.505817 | + | 0.862641i | \(0.331191\pi\) | |||||||
\(884\) | 0.271099 | − | 0.690749i | 0.00911805 | − | 0.0232324i | ||||
\(885\) | 2.03346 | − | 27.1346i | 0.0683540 | − | 0.912120i | ||||
\(886\) | −4.75443 | − | 4.41147i | −0.159728 | − | 0.148206i | ||||
\(887\) | 0.0666391 | − | 0.291965i | 0.00223752 | − | 0.00980322i | −0.973797 | − | 0.227420i | \(-0.926971\pi\) |
0.976034 | + | 0.217617i | \(0.0698282\pi\) | |||||||
\(888\) | −13.9983 | + | 2.10990i | −0.469751 | + | 0.0708035i | ||||
\(889\) | 17.5021 | − | 11.9327i | 0.587002 | − | 0.400211i | ||||
\(890\) | 31.7112 | + | 9.78161i | 1.06296 | + | 0.327880i | ||||
\(891\) | −4.42409 | − | 59.0353i | −0.148212 | − | 1.97776i | ||||
\(892\) | 5.56110 | − | 6.97340i | 0.186200 | − | 0.233487i | ||||
\(893\) | 16.3700 | − | 5.04948i | 0.547802 | − | 0.168975i | ||||
\(894\) | 18.6057 | + | 47.4065i | 0.622267 | + | 1.58551i | ||||
\(895\) | −5.87658 | − | 25.7470i | −0.196432 | − | 0.860627i | ||||
\(896\) | −5.38348 | + | 9.32447i | −0.179850 | + | 0.311509i | ||||
\(897\) | −0.00266959 | − | 0.00462386i | −8.91349e−5 | − | 0.000154386i | ||||
\(898\) | −24.3135 | + | 22.5596i | −0.811353 | + | 0.752825i | ||||
\(899\) | −11.7835 | − | 14.7760i | −0.393001 | − | 0.492807i | ||||
\(900\) | −6.24075 | − | 4.25487i | −0.208025 | − | 0.141829i | ||||
\(901\) | −2.69397 | − | 1.29735i | −0.0897490 | − | 0.0432209i | ||||
\(902\) | −46.3024 | −1.54170 | ||||||||
\(903\) | 38.5207 | − | 16.2143i | 1.28189 | − | 0.539578i | ||||
\(904\) | 19.8415 | 0.659918 | ||||||||
\(905\) | −37.6012 | − | 18.1078i | −1.24991 | − | 0.601924i | ||||
\(906\) | −21.0792 | − | 14.3716i | −0.700310 | − | 0.477463i | ||||
\(907\) | −19.3860 | − | 24.3092i | −0.643700 | − | 0.807175i | 0.347760 | − | 0.937584i | \(-0.386942\pi\) |
−0.991460 | + | 0.130409i | \(0.958371\pi\) | |||||||
\(908\) | −3.87661 | + | 3.59697i | −0.128650 | + | 0.119370i | ||||
\(909\) | −11.6187 | − | 20.1242i | −0.385369 | − | 0.667479i | ||||
\(910\) | 8.74634 | − | 15.1491i | 0.289938 | − | 0.502188i | ||||
\(911\) | 6.55930 | + | 28.7382i | 0.217319 | + | 0.952139i | 0.959449 | + | 0.281882i | \(0.0909587\pi\) |
−0.742130 | + | 0.670256i | \(0.766184\pi\) | |||||||
\(912\) | −4.49887 | − | 11.4629i | −0.148972 | − | 0.379575i | ||||
\(913\) | −30.4337 | + | 9.38756i | −1.00721 | + | 0.310683i | ||||
\(914\) | 27.2218 | − | 34.1350i | 0.900417 | − | 1.12909i | ||||
\(915\) | −4.77059 | − | 63.6590i | −0.157711 | − | 2.10450i | ||||
\(916\) | −11.5408 | − | 3.55985i | −0.381317 | − | 0.117621i | ||||
\(917\) | 39.9021 | − | 27.2048i | 1.31768 | − | 0.898382i | ||||
\(918\) | 1.43102 | − | 0.215692i | 0.0472307 | − | 0.00711888i | ||||
\(919\) | −3.58384 | + | 15.7018i | −0.118220 | + | 0.517956i | 0.880792 | + | 0.473504i | \(0.157011\pi\) |
−0.999012 | + | 0.0444515i | \(0.985846\pi\) | |||||||
\(920\) | 0.0103138 | + | 0.00956977i | 0.000340035 | + | 0.000315506i | ||||
\(921\) | −1.42722 | + | 19.0449i | −0.0470285 | + | 0.627551i | ||||
\(922\) | 5.70655 | − | 14.5400i | 0.187935 | − | 0.478851i | ||||
\(923\) | 11.2300 | + | 1.69265i | 0.369641 | + | 0.0557144i | ||||
\(924\) | −19.0753 | + | 9.18616i | −0.627530 | + | 0.302202i | ||||
\(925\) | −9.93354 | + | 4.78374i | −0.326613 | + | 0.157288i | ||||
\(926\) | −33.7848 | − | 5.09223i | −1.11024 | − | 0.167341i | ||||
\(927\) | −11.7217 | + | 29.8663i | −0.384990 | + | 0.980939i | ||||
\(928\) | −1.13525 | + | 15.1489i | −0.0372664 | + | 0.497286i | ||||
\(929\) | −16.5691 | − | 15.3739i | −0.543616 | − | 0.504402i | 0.359880 | − | 0.932999i | \(-0.382818\pi\) |
−0.903496 | + | 0.428597i | \(0.859008\pi\) | |||||||
\(930\) | −7.94186 | + | 34.7956i | −0.260424 | + | 1.14099i | ||||
\(931\) | 1.43021 | − | 0.215569i | 0.0468732 | − | 0.00706499i | ||||
\(932\) | −5.01811 | + | 3.42129i | −0.164374 | + | 0.112068i | ||||
\(933\) | 65.9584 | + | 20.3455i | 2.15938 | + | 0.666080i | ||||
\(934\) | −0.287694 | − | 3.83900i | −0.00941362 | − | 0.125616i | ||||
\(935\) | 8.55366 | − | 10.7260i | 0.279735 | − | 0.350776i | ||||
\(936\) | −11.1170 | + | 3.42913i | −0.363369 | + | 0.112085i | ||||
\(937\) | 11.9474 | + | 30.4414i | 0.390304 | + | 0.994478i | 0.982095 | + | 0.188387i | \(0.0603258\pi\) |
−0.591791 | + | 0.806091i | \(0.701579\pi\) | |||||||
\(938\) | −6.85468 | − | 30.0323i | −0.223813 | − | 0.980590i | ||||
\(939\) | −7.52496 | + | 13.0336i | −0.245568 | + | 0.425336i | ||||
\(940\) | 7.58948 | + | 13.1454i | 0.247542 | + | 0.428755i | ||||
\(941\) | −0.214487 | + | 0.199015i | −0.00699209 | + | 0.00648771i | −0.683661 | − | 0.729800i | \(-0.739613\pi\) |
0.676669 | + | 0.736287i | \(0.263423\pi\) | |||||||
\(942\) | −2.52224 | − | 3.16279i | −0.0821790 | − | 0.103049i | ||||
\(943\) | 0.00815951 | + | 0.00556306i | 0.000265710 | + | 0.000181158i | ||||
\(944\) | 8.06183 | + | 3.88237i | 0.262390 | + | 0.126360i | ||||
\(945\) | −14.4578 | −0.470313 | ||||||||
\(946\) | −39.9713 | + | 16.8249i | −1.29958 | + | 0.547024i | ||||
\(947\) | 13.5390 | 0.439959 | 0.219979 | − | 0.975504i | \(-0.429401\pi\) | ||||
0.219979 | + | 0.975504i | \(0.429401\pi\) | |||||||
\(948\) | −8.07522 | − | 3.88882i | −0.262271 | − | 0.126303i | ||||
\(949\) | −15.0900 | − | 10.2882i | −0.489841 | − | 0.333968i | ||||
\(950\) | −8.87959 | − | 11.1347i | −0.288092 | − | 0.361256i | ||||
\(951\) | −13.2264 | + | 12.2723i | −0.428894 | + | 0.397956i | ||||
\(952\) | −3.22804 | − | 5.59114i | −0.104622 | − | 0.181210i | ||||
\(953\) | −6.90661 | + | 11.9626i | −0.223727 | + | 0.387507i | −0.955937 | − | 0.293573i | \(-0.905156\pi\) |
0.732210 | + | 0.681079i | \(0.238489\pi\) | |||||||
\(954\) | 2.39274 | + | 10.4833i | 0.0774677 | + | 0.339408i | ||||
\(955\) | 17.4834 | + | 44.5469i | 0.565749 | + | 1.44151i | ||||
\(956\) | 4.54480 | − | 1.40188i | 0.146989 | − | 0.0453402i | ||||
\(957\) | 37.5305 | − | 47.0617i | 1.21319 | − | 1.52129i | ||||
\(958\) | −1.97741 | − | 26.3867i | −0.0638872 | − | 0.852516i | ||||
\(959\) | 6.88440 | + | 2.12356i | 0.222309 | + | 0.0685732i | ||||
\(960\) | 53.9906 | − | 36.8102i | 1.74254 | − | 1.18804i | ||||
\(961\) | 14.5658 | − | 2.19544i | 0.469865 | − | 0.0708207i | ||||
\(962\) | −0.866773 | + | 3.79758i | −0.0279459 | + | 0.122439i | ||||
\(963\) | 12.6001 | + | 11.6912i | 0.406034 | + | 0.376744i | ||||
\(964\) | 0.374069 | − | 4.99160i | 0.0120479 | − | 0.160769i | ||||
\(965\) | −20.7127 | + | 52.7752i | −0.666767 | + | 1.69889i | ||||
\(966\) | −0.0105362 | − | 0.00158808i | −0.000338997 | − | 5.10956e-5i | ||||
\(967\) | 10.3525 | − | 4.98550i | 0.332914 | − | 0.160323i | −0.259958 | − | 0.965620i | \(-0.583709\pi\) |
0.592871 | + | 0.805297i | \(0.297994\pi\) | |||||||
\(968\) | 55.8083 | − | 26.8759i | 1.79375 | − | 0.863823i | ||||
\(969\) | 3.76044 | + | 0.566795i | 0.120803 | + | 0.0182081i | ||||
\(970\) | 24.8045 | − | 63.2008i | 0.796424 | − | 2.02926i | ||||
\(971\) | 3.68142 | − | 49.1251i | 0.118142 | − | 1.57650i | −0.551729 | − | 0.834023i | \(-0.686032\pi\) |
0.669872 | − | 0.742477i | \(-0.266349\pi\) | |||||||
\(972\) | 8.55049 | + | 7.93369i | 0.274257 | + | 0.254473i | ||||
\(973\) | −4.89301 | + | 21.4377i | −0.156863 | + | 0.687261i | ||||
\(974\) | 15.8511 | − | 2.38917i | 0.507903 | − | 0.0765540i | ||||
\(975\) | −17.2492 | + | 11.7603i | −0.552416 | + | 0.376631i | ||||
\(976\) | 20.0597 | + | 6.18759i | 0.642095 | + | 0.198060i | ||||
\(977\) | −2.57239 | − | 34.3262i | −0.0822982 | − | 1.09819i | −0.873560 | − | 0.486716i | \(-0.838195\pi\) |
0.791262 | − | 0.611477i | \(-0.209424\pi\) | |||||||
\(978\) | −24.7357 | + | 31.0176i | −0.790962 | + | 0.991834i | ||||
\(979\) | −46.0416 | + | 14.2020i | −1.47150 | + | 0.453897i | ||||
\(980\) | 0.468201 | + | 1.19296i | 0.0149561 | + | 0.0381076i | ||||
\(981\) | 3.89949 | + | 17.0848i | 0.124501 | + | 0.545476i | ||||
\(982\) | −5.95915 | + | 10.3215i | −0.190164 | + | 0.329374i | ||||
\(983\) | −23.3956 | − | 40.5224i | −0.746205 | − | 1.29247i | −0.949630 | − | 0.313375i | \(-0.898540\pi\) |
0.203424 | − | 0.979091i | \(-0.434793\pi\) | |||||||
\(984\) | 36.3446 | − | 33.7229i | 1.15862 | − | 1.07505i | ||||
\(985\) | 5.52476 | + | 6.92783i | 0.176033 | + | 0.220739i | ||||
\(986\) | 3.47871 | + | 2.37174i | 0.110785 | + | 0.0755317i | ||||
\(987\) | −45.1527 | − | 21.7444i | −1.43723 | − | 0.692131i | ||||
\(988\) | 2.13234 | 0.0678388 | ||||||||
\(989\) | 0.00906527 | + | 0.00183748i | 0.000288259 | + | 5.84285e-5i | ||||
\(990\) | −49.3360 | −1.56800 | ||||||||
\(991\) | −21.0704 | − | 10.1470i | −0.669325 | − | 0.322330i | 0.0681788 | − | 0.997673i | \(-0.478281\pi\) |
−0.737503 | + | 0.675343i | \(0.763995\pi\) | |||||||
\(992\) | 10.8053 | + | 7.36693i | 0.343069 | + | 0.233900i | ||||
\(993\) | 34.8256 | + | 43.6700i | 1.10516 | + | 1.38582i | ||||
\(994\) | 16.6143 | − | 15.4158i | 0.526974 | − | 0.488960i | ||||
\(995\) | −6.31882 | − | 10.9445i | −0.200320 | − | 0.346964i | ||||
\(996\) | 3.91121 | − | 6.77441i | 0.123931 | − | 0.214656i | ||||
\(997\) | 11.0399 | + | 48.3689i | 0.349637 | + | 1.53186i | 0.778007 | + | 0.628255i | \(0.216231\pi\) |
−0.428370 | + | 0.903603i | \(0.640912\pi\) | |||||||
\(998\) | 10.6237 | + | 27.0686i | 0.336286 | + | 0.856843i | ||||
\(999\) | 3.07642 | − | 0.948949i | 0.0973335 | − | 0.0300234i |
(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 | 43.2.g.a.25.1 | ✓ | 36 | |
3.2 | odd | 2 | 387.2.y.c.154.3 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.369.2 | 36 | |||
43.17 | even | 21 | 1849.2.a.n.1.14 | 18 | |||
43.26 | odd | 42 | 1849.2.a.o.1.5 | 18 | |||
43.31 | even | 21 | inner | 43.2.g.a.31.1 | yes | 36 | |
129.74 | odd | 42 | 387.2.y.c.289.3 | 36 | |||
172.31 | odd | 42 | 688.2.bg.c.289.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.25.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
43.2.g.a.31.1 | yes | 36 | 43.31 | even | 21 | inner | |
387.2.y.c.154.3 | 36 | 3.2 | odd | 2 | |||
387.2.y.c.289.3 | 36 | 129.74 | odd | 42 | |||
688.2.bg.c.289.2 | 36 | 172.31 | odd | 42 | |||
688.2.bg.c.369.2 | 36 | 4.3 | odd | 2 | |||
1849.2.a.n.1.14 | 18 | 43.17 | even | 21 | |||
1849.2.a.o.1.5 | 18 | 43.26 | odd | 42 |