Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(12,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.h (of order \(26\), 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: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 169.25 |
Dual form | 169.2.h.a.142.3 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{26}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68720 | − | 0.639871i | −1.19303 | − | 0.452457i | −0.323449 | − | 0.946245i | \(-0.604843\pi\) |
−0.869582 | + | 0.493788i | \(0.835612\pi\) | |||||||
\(3\) | 0.0407127 | + | 0.0589826i | 0.0235055 | + | 0.0340536i | 0.834560 | − | 0.550916i | \(-0.185722\pi\) |
−0.811055 | + | 0.584970i | \(0.801106\pi\) | |||||||
\(4\) | 0.940192 | + | 0.832938i | 0.470096 | + | 0.416469i | ||||
\(5\) | 0.654244 | + | 0.0794397i | 0.292587 | + | 0.0355265i | 0.265514 | − | 0.964107i | \(-0.414458\pi\) |
0.0270729 | + | 0.999633i | \(0.491381\pi\) | |||||||
\(6\) | −0.0309493 | − | 0.125566i | −0.0126350 | − | 0.0512622i | ||||
\(7\) | −0.153151 | − | 0.291806i | −0.0578858 | − | 0.110292i | 0.854794 | − | 0.518967i | \(-0.173683\pi\) |
−0.912680 | + | 0.408675i | \(0.865991\pi\) | |||||||
\(8\) | 0.623830 | + | 1.18861i | 0.220557 | + | 0.420237i | ||||
\(9\) | 1.06199 | − | 2.80025i | 0.353998 | − | 0.933415i | ||||
\(10\) | −1.05301 | − | 0.552663i | −0.332991 | − | 0.174767i | ||||
\(11\) | 3.29754 | − | 1.25059i | 0.994247 | − | 0.377068i | 0.196791 | − | 0.980445i | \(-0.436948\pi\) |
0.797456 | + | 0.603377i | \(0.206179\pi\) | |||||||
\(12\) | −0.0108510 | + | 0.0893661i | −0.00313242 | + | 0.0257978i | ||||
\(13\) | −3.47540 | − | 0.959994i | −0.963903 | − | 0.266254i | ||||
\(14\) | 0.0716793 | + | 0.590332i | 0.0191571 | + | 0.157773i | ||||
\(15\) | 0.0219505 | + | 0.0418232i | 0.00566760 | + | 0.0107987i | ||||
\(16\) | −0.594779 | − | 4.89844i | −0.148695 | − | 1.22461i | ||||
\(17\) | 4.33713 | − | 2.27630i | 1.05191 | − | 0.552084i | 0.152098 | − | 0.988365i | \(-0.451397\pi\) |
0.899810 | + | 0.436281i | \(0.143705\pi\) | |||||||
\(18\) | −3.58359 | + | 4.04504i | −0.844661 | + | 0.953425i | ||||
\(19\) | − | 4.67024i | − | 1.07143i | −0.844400 | − | 0.535713i | \(-0.820043\pi\) | ||
0.844400 | − | 0.535713i | \(-0.179957\pi\) | |||||||
\(20\) | 0.548947 | + | 0.619633i | 0.122748 | + | 0.138554i | ||||
\(21\) | 0.0109762 | − | 0.0209135i | 0.00239521 | − | 0.00456369i | ||||
\(22\) | −6.36384 | −1.35678 | ||||||||
\(23\) | 3.76934 | 0.785961 | 0.392980 | − | 0.919547i | \(-0.371444\pi\) | ||||
0.392980 | + | 0.919547i | \(0.371444\pi\) | |||||||
\(24\) | −0.0447094 | + | 0.0851866i | −0.00912626 | + | 0.0173886i | ||||
\(25\) | −4.43298 | − | 1.09263i | −0.886597 | − | 0.218526i | ||||
\(26\) | 5.24943 | + | 3.84351i | 1.02950 | + | 0.753775i | ||||
\(27\) | 0.417162 | − | 0.102821i | 0.0802829 | − | 0.0197879i | ||||
\(28\) | 0.0990641 | − | 0.401919i | 0.0187214 | − | 0.0759555i | ||||
\(29\) | 1.37597 | − | 3.62813i | 0.255511 | − | 0.673727i | −0.744470 | − | 0.667655i | \(-0.767298\pi\) |
0.999982 | − | 0.00607198i | \(-0.00193278\pi\) | |||||||
\(30\) | −0.0102735 | − | 0.0846097i | −0.00187567 | − | 0.0154475i | ||||
\(31\) | 1.62148 | + | 6.57861i | 0.291227 | + | 1.18155i | 0.916140 | + | 0.400859i | \(0.131288\pi\) |
−0.624913 | + | 0.780694i | \(0.714866\pi\) | |||||||
\(32\) | −1.48836 | + | 6.03852i | −0.263108 | + | 1.06747i | ||||
\(33\) | 0.208015 | + | 0.143583i | 0.0362108 | + | 0.0249945i | ||||
\(34\) | −8.77415 | + | 1.06537i | −1.50475 | + | 0.182710i | ||||
\(35\) | −0.0770175 | − | 0.203078i | −0.0130183 | − | 0.0343265i | ||||
\(36\) | 3.33091 | − | 1.74820i | 0.555151 | − | 0.291366i | ||||
\(37\) | 2.40265 | + | 9.74795i | 0.394994 | + | 1.60255i | 0.745843 | + | 0.666121i | \(0.232047\pi\) |
−0.350850 | + | 0.936432i | \(0.614107\pi\) | |||||||
\(38\) | −2.98835 | + | 7.87963i | −0.484774 | + | 1.27825i | ||||
\(39\) | −0.0848701 | − | 0.244072i | −0.0135901 | − | 0.0390828i | ||||
\(40\) | 0.313715 | + | 0.827197i | 0.0496026 | + | 0.130791i | ||||
\(41\) | −8.11133 | + | 5.59885i | −1.26678 | + | 0.874393i | −0.996096 | − | 0.0882764i | \(-0.971864\pi\) |
−0.270681 | + | 0.962669i | \(0.587249\pi\) | |||||||
\(42\) | −0.0319010 | + | 0.0282618i | −0.00492244 | + | 0.00436090i | ||||
\(43\) | 2.63216 | + | 0.648770i | 0.401401 | + | 0.0989365i | 0.434848 | − | 0.900504i | \(-0.356802\pi\) |
−0.0334467 | + | 0.999441i | \(0.510648\pi\) | |||||||
\(44\) | 4.14199 | + | 1.57085i | 0.624429 | + | 0.236815i | ||||
\(45\) | 0.917254 | − | 1.74768i | 0.136736 | − | 0.260529i | ||||
\(46\) | −6.35963 | − | 2.41189i | −0.937676 | − | 0.355614i | ||||
\(47\) | 5.36429 | + | 6.05503i | 0.782462 | + | 0.883217i | 0.995590 | − | 0.0938070i | \(-0.0299037\pi\) |
−0.213128 | + | 0.977024i | \(0.568365\pi\) | |||||||
\(48\) | 0.264708 | − | 0.234511i | 0.0382073 | − | 0.0338487i | ||||
\(49\) | 3.91476 | − | 5.67151i | 0.559251 | − | 0.810215i | ||||
\(50\) | 6.78019 | + | 4.68003i | 0.958864 | + | 0.661856i | ||||
\(51\) | 0.310838 | + | 0.163141i | 0.0435261 | + | 0.0228442i | ||||
\(52\) | −2.46793 | − | 3.79737i | −0.342240 | − | 0.526601i | ||||
\(53\) | −5.64437 | + | 2.96240i | −0.775314 | + | 0.406916i | −0.805476 | − | 0.592629i | \(-0.798090\pi\) |
0.0301615 | + | 0.999545i | \(0.490398\pi\) | |||||||
\(54\) | −0.769629 | − | 0.0934498i | −0.104733 | − | 0.0127169i | ||||
\(55\) | 2.25675 | − | 0.556238i | 0.304300 | − | 0.0750031i | ||||
\(56\) | 0.251302 | − | 0.364074i | 0.0335817 | − | 0.0486515i | ||||
\(57\) | 0.275463 | − | 0.190138i | 0.0364859 | − | 0.0251844i | ||||
\(58\) | −4.64307 | + | 5.24095i | −0.609666 | + | 0.688170i | ||||
\(59\) | 4.72673 | + | 0.573928i | 0.615367 | + | 0.0747191i | 0.422285 | − | 0.906463i | \(-0.361228\pi\) |
0.193083 | + | 0.981182i | \(0.438151\pi\) | |||||||
\(60\) | −0.0141984 | + | 0.0576053i | −0.00183301 | + | 0.00743681i | ||||
\(61\) | −4.77126 | − | 2.50415i | −0.610897 | − | 0.320623i | 0.130749 | − | 0.991416i | \(-0.458262\pi\) |
−0.741645 | + | 0.670792i | \(0.765954\pi\) | |||||||
\(62\) | 1.47370 | − | 12.1370i | 0.187160 | − | 1.54140i | ||||
\(63\) | −0.979773 | + | 0.118966i | −0.123440 | + | 0.0149883i | ||||
\(64\) | 0.768897 | − | 1.11394i | 0.0961122 | − | 0.139243i | ||||
\(65\) | −2.19750 | − | 0.904155i | −0.272566 | − | 0.112147i | ||||
\(66\) | −0.259089 | − | 0.375356i | −0.0318917 | − | 0.0462031i | ||||
\(67\) | −7.79129 | − | 8.79455i | −0.951858 | − | 1.07443i | −0.997149 | − | 0.0754513i | \(-0.975960\pi\) |
0.0452919 | − | 0.998974i | \(-0.485578\pi\) | |||||||
\(68\) | 5.97375 | + | 1.47240i | 0.724424 | + | 0.178554i | ||||
\(69\) | 0.153460 | + | 0.222325i | 0.0184744 | + | 0.0267648i | ||||
\(70\) | 0.391916i | 0.0468429i | ||||||||
\(71\) | −1.05635 | + | 0.729146i | −0.125366 | + | 0.0865337i | −0.629097 | − | 0.777326i | \(-0.716575\pi\) |
0.503732 | + | 0.863860i | \(0.331960\pi\) | |||||||
\(72\) | 3.99090 | − | 0.484583i | 0.470332 | − | 0.0571086i | ||||
\(73\) | −4.91959 | + | 1.86575i | −0.575794 | + | 0.218370i | −0.625274 | − | 0.780405i | \(-0.715013\pi\) |
0.0494801 | + | 0.998775i | \(0.484244\pi\) | |||||||
\(74\) | 2.18367 | − | 17.9841i | 0.253847 | − | 2.09061i | ||||
\(75\) | −0.116033 | − | 0.305953i | −0.0133983 | − | 0.0353284i | ||||
\(76\) | 3.89002 | − | 4.39092i | 0.446215 | − | 0.503673i | ||||
\(77\) | −0.869954 | − | 0.770712i | −0.0991404 | − | 0.0878308i | ||||
\(78\) | −0.0129817 | + | 0.466105i | −0.00146988 | + | 0.0527759i | ||||
\(79\) | 1.45245 | − | 1.28676i | 0.163413 | − | 0.144771i | −0.577453 | − | 0.816424i | \(-0.695954\pi\) |
0.740867 | + | 0.671652i | \(0.234415\pi\) | |||||||
\(80\) | − | 3.25203i | − | 0.363588i | ||||||
\(81\) | −6.70201 | − | 5.93747i | −0.744668 | − | 0.659718i | ||||
\(82\) | 17.2680 | − | 4.25618i | 1.90693 | − | 0.470016i | ||||
\(83\) | 2.13161 | + | 1.47134i | 0.233975 | + | 0.161501i | 0.679283 | − | 0.733876i | \(-0.262291\pi\) |
−0.445309 | + | 0.895377i | \(0.646906\pi\) | |||||||
\(84\) | 0.0277394 | − | 0.0105202i | 0.00302661 | − | 0.00114784i | ||||
\(85\) | 3.01837 | − | 1.14472i | 0.327388 | − | 0.124162i | ||||
\(86\) | −4.02586 | − | 2.77885i | −0.434120 | − | 0.299651i | ||||
\(87\) | 0.270016 | − | 0.0665530i | 0.0289488 | − | 0.00713523i | ||||
\(88\) | 3.54357 | + | 3.13933i | 0.377746 | + | 0.334654i | ||||
\(89\) | 3.65402i | 0.387325i | 0.981068 | + | 0.193662i | \(0.0620367\pi\) | ||||
−0.981068 | + | 0.193662i | \(0.937963\pi\) | |||||||
\(90\) | −2.66588 | + | 2.36177i | −0.281009 | + | 0.248952i | ||||
\(91\) | 0.252131 | + | 1.16117i | 0.0264305 | + | 0.121723i | ||||
\(92\) | 3.54390 | + | 3.13962i | 0.369477 | + | 0.327328i | ||||
\(93\) | −0.322008 | + | 0.363472i | −0.0333907 | + | 0.0376903i | ||||
\(94\) | −5.17620 | − | 13.6485i | −0.533884 | − | 1.40774i | ||||
\(95\) | 0.371002 | − | 3.05548i | 0.0380640 | − | 0.313485i | ||||
\(96\) | −0.416762 | + | 0.158057i | −0.0425356 | + | 0.0161316i | ||||
\(97\) | −4.73020 | + | 0.574351i | −0.480279 | + | 0.0583165i | −0.357096 | − | 0.934068i | \(-0.616233\pi\) |
−0.123183 | + | 0.992384i | \(0.539310\pi\) | |||||||
\(98\) | −10.2340 | + | 7.06403i | −1.03379 | + | 0.713575i | ||||
\(99\) | − | 10.5621i | − | 1.06153i | ||||||
\(100\) | −3.25776 | − | 4.71968i | −0.325776 | − | 0.471968i | ||||
\(101\) | 9.31468 | + | 2.29586i | 0.926846 | + | 0.228447i | 0.673720 | − | 0.738987i | \(-0.264695\pi\) |
0.253125 | + | 0.967433i | \(0.418541\pi\) | |||||||
\(102\) | −0.420058 | − | 0.474148i | −0.0415919 | − | 0.0469476i | ||||
\(103\) | 10.2787 | + | 14.8913i | 1.01279 | + | 1.46728i | 0.879322 | + | 0.476229i | \(0.157997\pi\) |
0.133470 | + | 0.991053i | \(0.457388\pi\) | |||||||
\(104\) | −1.02700 | − | 4.72976i | −0.100706 | − | 0.463792i | ||||
\(105\) | 0.00884250 | − | 0.0128106i | 0.000862939 | − | 0.00125018i | ||||
\(106\) | 11.4187 | − | 1.38649i | 1.10909 | − | 0.134667i | ||||
\(107\) | 0.361820 | − | 2.97985i | 0.0349784 | − | 0.288073i | −0.964715 | − | 0.263298i | \(-0.915190\pi\) |
0.999693 | − | 0.0247755i | \(-0.00788709\pi\) | |||||||
\(108\) | 0.477856 | + | 0.250798i | 0.0459817 | + | 0.0241331i | ||||
\(109\) | 2.02715 | − | 8.22449i | 0.194166 | − | 0.787763i | −0.790377 | − | 0.612621i | \(-0.790115\pi\) |
0.984543 | − | 0.175142i | \(-0.0560386\pi\) | |||||||
\(110\) | −4.16351 | − | 0.505541i | −0.396975 | − | 0.0482015i | ||||
\(111\) | −0.477140 | + | 0.538580i | −0.0452882 | + | 0.0511198i | ||||
\(112\) | −1.33830 | + | 0.923763i | −0.126458 | + | 0.0872874i | ||||
\(113\) | −6.79111 | + | 9.83862i | −0.638854 | + | 0.925540i | −0.999976 | − | 0.00697911i | \(-0.997778\pi\) |
0.361122 | + | 0.932519i | \(0.382394\pi\) | |||||||
\(114\) | −0.586425 | + | 0.144541i | −0.0549237 | + | 0.0135375i | ||||
\(115\) | 2.46607 | + | 0.299435i | 0.229962 | + | 0.0279224i | ||||
\(116\) | 4.31568 | − | 2.26505i | 0.400701 | − | 0.210304i | ||||
\(117\) | −6.37907 | + | 8.71247i | −0.589745 | + | 0.805468i | ||||
\(118\) | −7.60770 | − | 3.99283i | −0.700345 | − | 0.367570i | ||||
\(119\) | −1.32848 | − | 0.916980i | −0.121781 | − | 0.0840594i | ||||
\(120\) | −0.0360180 | + | 0.0521811i | −0.00328798 | + | 0.00476346i | ||||
\(121\) | 1.07619 | − | 0.953425i | 0.0978358 | − | 0.0866750i | ||||
\(122\) | 6.44774 | + | 7.27799i | 0.583751 | + | 0.658919i | ||||
\(123\) | −0.660468 | − | 0.250483i | −0.0595524 | − | 0.0225853i | ||||
\(124\) | −3.95507 | + | 7.53575i | −0.355175 | + | 0.676730i | ||||
\(125\) | −5.89457 | − | 2.23551i | −0.527226 | − | 0.199950i | ||||
\(126\) | 1.72920 | + | 0.426209i | 0.154049 | + | 0.0379697i | ||||
\(127\) | −8.50787 | + | 7.53732i | −0.754952 | + | 0.668829i | −0.950100 | − | 0.311945i | \(-0.899020\pi\) |
0.195149 | + | 0.980774i | \(0.437481\pi\) | |||||||
\(128\) | 8.22660 | − | 5.67841i | 0.727136 | − | 0.501906i | ||||
\(129\) | 0.0688964 | + | 0.181665i | 0.00606599 | + | 0.0159947i | ||||
\(130\) | 3.12908 | + | 2.93161i | 0.274439 | + | 0.257119i | ||||
\(131\) | −5.04950 | + | 13.3144i | −0.441177 | + | 1.16329i | 0.511495 | + | 0.859286i | \(0.329092\pi\) |
−0.952672 | + | 0.304001i | \(0.901677\pi\) | |||||||
\(132\) | 0.0759790 | + | 0.308259i | 0.00661312 | + | 0.0268305i | ||||
\(133\) | −1.36280 | + | 0.715254i | −0.118170 | + | 0.0620203i | ||||
\(134\) | 7.51810 | + | 19.8236i | 0.649465 | + | 1.71250i | ||||
\(135\) | 0.281094 | − | 0.0341310i | 0.0241927 | − | 0.00293753i | ||||
\(136\) | 5.41126 | + | 3.73512i | 0.464012 | + | 0.320284i | ||||
\(137\) | −0.316758 | + | 1.28514i | −0.0270624 | + | 0.109797i | −0.982920 | − | 0.184035i | \(-0.941084\pi\) |
0.955857 | + | 0.293831i | \(0.0949303\pi\) | |||||||
\(138\) | −0.116658 | − | 0.473302i | −0.00993062 | − | 0.0402901i | ||||
\(139\) | 1.23304 | + | 10.1550i | 0.104585 | + | 0.861337i | 0.946717 | + | 0.322065i | \(0.104377\pi\) |
−0.842132 | + | 0.539271i | \(0.818700\pi\) | |||||||
\(140\) | 0.0967404 | − | 0.255084i | 0.00817606 | − | 0.0215585i | ||||
\(141\) | −0.138746 | + | 0.562916i | −0.0116846 | + | 0.0474061i | ||||
\(142\) | 2.24884 | − | 0.554288i | 0.188718 | − | 0.0465148i | ||||
\(143\) | −12.6608 | + | 1.18069i | −1.05875 | + | 0.0987343i | ||||
\(144\) | −14.3485 | − | 3.53659i | −1.19571 | − | 0.294716i | ||||
\(145\) | 1.18844 | − | 2.26438i | 0.0986944 | − | 0.188046i | ||||
\(146\) | 9.49417 | 0.785743 | ||||||||
\(147\) | 0.493900 | 0.0407362 | ||||||||
\(148\) | −5.86048 | + | 11.1662i | −0.481728 | + | 0.917856i | ||||
\(149\) | 0.0468329 | + | 0.0528634i | 0.00383670 | + | 0.00433074i | 0.750426 | − | 0.660955i | \(-0.229848\pi\) |
−0.746589 | + | 0.665285i | \(0.768310\pi\) | |||||||
\(150\) | 0.590450i | 0.0482100i | ||||||||
\(151\) | 10.5204 | − | 11.8751i | 0.856136 | − | 0.966378i | −0.143593 | − | 0.989637i | \(-0.545866\pi\) |
0.999729 | + | 0.0232586i | \(0.00740412\pi\) | |||||||
\(152\) | 5.55109 | − | 2.91343i | 0.450252 | − | 0.236311i | ||||
\(153\) | −1.76820 | − | 14.5624i | −0.142951 | − | 1.17730i | ||||
\(154\) | 0.974631 | + | 1.85700i | 0.0785380 | + | 0.149642i | ||||
\(155\) | 0.538243 | + | 4.43283i | 0.0432327 | + | 0.356053i | ||||
\(156\) | 0.123503 | − | 0.300166i | 0.00988811 | − | 0.0240325i | ||||
\(157\) | 0.741200 | − | 6.10433i | 0.0591542 | − | 0.487179i | −0.932782 | − | 0.360441i | \(-0.882626\pi\) |
0.991936 | − | 0.126738i | \(-0.0404506\pi\) | |||||||
\(158\) | −3.27393 | + | 1.24164i | −0.260460 | + | 0.0987794i | ||||
\(159\) | −0.404527 | − | 0.212312i | −0.0320811 | − | 0.0168375i | ||||
\(160\) | −1.45345 | + | 3.83243i | −0.114905 | + | 0.302980i | ||||
\(161\) | −0.577279 | − | 1.09991i | −0.0454960 | − | 0.0866853i | ||||
\(162\) | 7.50843 | + | 14.3061i | 0.589918 | + | 1.12400i | ||||
\(163\) | 3.66798 | + | 14.8816i | 0.287299 | + | 1.16562i | 0.920220 | + | 0.391400i | \(0.128009\pi\) |
−0.632922 | + | 0.774216i | \(0.718145\pi\) | |||||||
\(164\) | −12.2897 | − | 1.49224i | −0.959664 | − | 0.116524i | ||||
\(165\) | 0.124687 | + | 0.110463i | 0.00970684 | + | 0.00859951i | ||||
\(166\) | −2.65499 | − | 3.84641i | −0.206067 | − | 0.298539i | ||||
\(167\) | −11.6004 | − | 4.39946i | −0.897668 | − | 0.340441i | −0.137756 | − | 0.990466i | \(-0.543989\pi\) |
−0.759912 | + | 0.650026i | \(0.774758\pi\) | |||||||
\(168\) | 0.0317052 | 0.00244611 | ||||||||
\(169\) | 11.1568 | + | 6.67273i | 0.858217 | + | 0.513287i | ||||
\(170\) | −5.82507 | −0.446763 | ||||||||
\(171\) | −13.0778 | − | 4.95976i | −1.00009 | − | 0.379282i | ||||
\(172\) | 1.93435 | + | 2.80239i | 0.147493 | + | 0.213681i | ||||
\(173\) | −12.2353 | − | 10.8395i | −0.930233 | − | 0.824114i | 0.0544417 | − | 0.998517i | \(-0.482662\pi\) |
−0.984674 | + | 0.174403i | \(0.944201\pi\) | |||||||
\(174\) | −0.498157 | − | 0.0604872i | −0.0377652 | − | 0.00458552i | ||||
\(175\) | 0.360081 | + | 1.46091i | 0.0272196 | + | 0.110434i | ||||
\(176\) | −8.08727 | − | 15.4090i | −0.609601 | − | 1.16150i | ||||
\(177\) | 0.158586 | + | 0.302161i | 0.0119201 | + | 0.0227118i | ||||
\(178\) | 2.33810 | − | 6.16506i | 0.175248 | − | 0.462091i | ||||
\(179\) | 9.41774 | + | 4.94281i | 0.703915 | + | 0.369443i | 0.778391 | − | 0.627780i | \(-0.216036\pi\) |
−0.0744761 | + | 0.997223i | \(0.523728\pi\) | |||||||
\(180\) | 2.31810 | − | 0.879141i | 0.172781 | − | 0.0655273i | ||||
\(181\) | −0.789062 | + | 6.49851i | −0.0586505 | + | 0.483031i | 0.933556 | + | 0.358430i | \(0.116688\pi\) |
−0.992207 | + | 0.124600i | \(0.960235\pi\) | |||||||
\(182\) | 0.317601 | − | 2.12045i | 0.0235422 | − | 0.157178i | ||||
\(183\) | −0.0465497 | − | 0.383372i | −0.00344106 | − | 0.0283396i | ||||
\(184\) | 2.35142 | + | 4.48026i | 0.173349 | + | 0.330289i | ||||
\(185\) | 0.797549 | + | 6.56841i | 0.0586370 | + | 0.482919i | ||||
\(186\) | 0.775868 | − | 0.407207i | 0.0568894 | − | 0.0298579i | ||||
\(187\) | 11.4551 | − | 12.9302i | 0.837683 | − | 0.945549i | ||||
\(188\) | 10.1610i | 0.741068i | ||||||||
\(189\) | −0.0938928 | − | 0.105983i | −0.00682969 | − | 0.00770913i | ||||
\(190\) | −2.58107 | + | 4.91781i | −0.187250 | + | 0.356776i | ||||
\(191\) | 24.9792 | 1.80743 | 0.903714 | − | 0.428137i | \(-0.140830\pi\) | ||||
0.903714 | + | 0.428137i | \(0.140830\pi\) | |||||||
\(192\) | 0.0970069 | 0.00700087 | ||||||||
\(193\) | −8.18622 | + | 15.5975i | −0.589257 | + | 1.12274i | 0.390133 | + | 0.920758i | \(0.372429\pi\) |
−0.979390 | + | 0.201977i | \(0.935263\pi\) | |||||||
\(194\) | 8.34832 | + | 2.05768i | 0.599374 | + | 0.147732i | ||||
\(195\) | −0.0361368 | − | 0.166425i | −0.00258781 | − | 0.0119179i | ||||
\(196\) | 8.40464 | − | 2.07156i | 0.600331 | − | 0.147968i | ||||
\(197\) | 4.27098 | − | 17.3280i | 0.304294 | − | 1.23457i | −0.597310 | − | 0.802010i | \(-0.703764\pi\) |
0.901605 | − | 0.432561i | \(-0.142390\pi\) | |||||||
\(198\) | −6.75835 | + | 17.8203i | −0.480295 | + | 1.26643i | ||||
\(199\) | −2.62956 | − | 21.6564i | −0.186405 | − | 1.53518i | −0.722706 | − | 0.691155i | \(-0.757102\pi\) |
0.536302 | − | 0.844026i | \(-0.319821\pi\) | |||||||
\(200\) | −1.46672 | − | 5.95070i | −0.103712 | − | 0.420778i | ||||
\(201\) | 0.201520 | − | 0.817600i | 0.0142141 | − | 0.0576691i | ||||
\(202\) | −14.2467 | − | 9.83378i | −1.00239 | − | 0.691902i | ||||
\(203\) | −1.26944 | + | 0.154138i | −0.0890973 | + | 0.0108184i | ||||
\(204\) | 0.156362 | + | 0.412292i | 0.0109475 | + | 0.0288662i | ||||
\(205\) | −5.75156 | + | 3.01865i | −0.401706 | + | 0.210832i | ||||
\(206\) | −7.81375 | − | 31.7016i | −0.544410 | − | 2.20876i | ||||
\(207\) | 4.00301 | − | 10.5551i | 0.278228 | − | 0.733628i | ||||
\(208\) | −2.63538 | + | 17.5950i | −0.182731 | + | 1.22000i | ||||
\(209\) | −5.84057 | − | 15.4003i | −0.404001 | − | 1.06526i | ||||
\(210\) | −0.0231162 | + | 0.0159559i | −0.00159517 | + | 0.00110107i | ||||
\(211\) | 8.84842 | − | 7.83902i | 0.609151 | − | 0.539660i | −0.301167 | − | 0.953571i | \(-0.597376\pi\) |
0.910317 | + | 0.413911i | \(0.135838\pi\) | |||||||
\(212\) | −7.77429 | − | 1.91619i | −0.533940 | − | 0.131604i | ||||
\(213\) | −0.0860138 | − | 0.0326207i | −0.00589357 | − | 0.00223514i | ||||
\(214\) | −2.51718 | + | 4.79609i | −0.172071 | + | 0.327854i | ||||
\(215\) | 1.67054 | + | 0.633552i | 0.113930 | + | 0.0432079i | ||||
\(216\) | 0.382452 | + | 0.431699i | 0.0260226 | + | 0.0293734i | ||||
\(217\) | 1.67134 | − | 1.48068i | 0.113458 | − | 0.100515i | ||||
\(218\) | −8.68283 | + | 12.5793i | −0.588076 | + | 0.851975i | ||||
\(219\) | −0.310337 | − | 0.214210i | −0.0209706 | − | 0.0144750i | ||||
\(220\) | 2.58509 | + | 1.35676i | 0.174287 | + | 0.0914726i | ||||
\(221\) | −17.2585 | + | 3.74744i | −1.16093 | + | 0.252080i | ||||
\(222\) | 1.14965 | − | 0.603385i | 0.0771597 | − | 0.0404965i | ||||
\(223\) | 16.0740 | + | 1.95174i | 1.07640 | + | 0.130698i | 0.639483 | − | 0.768806i | \(-0.279149\pi\) |
0.436913 | + | 0.899504i | \(0.356072\pi\) | |||||||
\(224\) | 1.99002 | − | 0.490495i | 0.132964 | − | 0.0327726i | ||||
\(225\) | −7.76744 | + | 11.2531i | −0.517829 | + | 0.750205i | ||||
\(226\) | 17.7534 | − | 12.2543i | 1.18094 | − | 0.815144i | ||||
\(227\) | 3.74017 | − | 4.22178i | 0.248244 | − | 0.280209i | −0.611160 | − | 0.791507i | \(-0.709297\pi\) |
0.859404 | + | 0.511298i | \(0.170835\pi\) | |||||||
\(228\) | 0.417361 | + | 0.0506768i | 0.0276404 | + | 0.00335615i | ||||
\(229\) | −2.00761 | + | 8.14520i | −0.132667 | + | 0.538250i | 0.866565 | + | 0.499064i | \(0.166323\pi\) |
−0.999232 | + | 0.0391860i | \(0.987524\pi\) | |||||||
\(230\) | −3.96915 | − | 2.08317i | −0.261718 | − | 0.137360i | ||||
\(231\) | 0.0100404 | − | 0.0826899i | 0.000660608 | − | 0.00544059i | ||||
\(232\) | 5.17080 | − | 0.627849i | 0.339480 | − | 0.0412203i | ||||
\(233\) | 4.14167 | − | 6.00025i | 0.271330 | − | 0.393089i | −0.663505 | − | 0.748172i | \(-0.730932\pi\) |
0.934835 | + | 0.355083i | \(0.115547\pi\) | |||||||
\(234\) | 16.3376 | − | 10.6179i | 1.06802 | − | 0.694114i | ||||
\(235\) | 3.02855 | + | 4.38761i | 0.197561 | + | 0.286216i | ||||
\(236\) | 3.96598 | + | 4.47667i | 0.258164 | + | 0.291406i | ||||
\(237\) | 0.135029 | + | 0.0332817i | 0.00877109 | + | 0.00216188i | ||||
\(238\) | 1.65466 | + | 2.39718i | 0.107255 | + | 0.155386i | ||||
\(239\) | 15.3967i | 0.995929i | 0.867197 | + | 0.497964i | \(0.165919\pi\) | ||||
−0.867197 | + | 0.497964i | \(0.834081\pi\) | |||||||
\(240\) | 0.191813 | − | 0.132399i | 0.0123815 | − | 0.00854631i | ||||
\(241\) | −21.5486 | + | 2.61647i | −1.38806 | + | 0.168542i | −0.780215 | − | 0.625511i | \(-0.784890\pi\) |
−0.607849 | + | 0.794053i | \(0.707967\pi\) | |||||||
\(242\) | −2.42583 | + | 0.919994i | −0.155938 | + | 0.0591395i | ||||
\(243\) | 0.232714 | − | 1.91657i | 0.0149286 | − | 0.122948i | ||||
\(244\) | −2.40010 | − | 6.32854i | −0.153651 | − | 0.405143i | ||||
\(245\) | 3.01175 | − | 3.39956i | 0.192414 | − | 0.217190i | ||||
\(246\) | 0.954067 | + | 0.845229i | 0.0608291 | + | 0.0538899i | ||||
\(247\) | −4.48340 | + | 16.2309i | −0.285272 | + | 1.03275i | ||||
\(248\) | −6.80786 | + | 6.03124i | −0.432300 | + | 0.382984i | ||||
\(249\) | 0.185630i | 0.0117638i | ||||||||
\(250\) | 8.51488 | + | 7.54353i | 0.538528 | + | 0.477095i | ||||
\(251\) | −8.36831 | + | 2.06260i | −0.528203 | + | 0.130190i | −0.494394 | − | 0.869238i | \(-0.664610\pi\) |
−0.0338091 | + | 0.999428i | \(0.510764\pi\) | |||||||
\(252\) | −1.02027 | − | 0.704239i | −0.0642707 | − | 0.0443629i | ||||
\(253\) | 12.4295 | − | 4.71391i | 0.781439 | − | 0.296361i | ||||
\(254\) | 19.1774 | − | 7.27303i | 1.20330 | − | 0.456350i | ||||
\(255\) | 0.190404 | + | 0.131427i | 0.0119236 | + | 0.00823026i | ||||
\(256\) | −20.1418 | + | 4.96451i | −1.25886 | + | 0.310282i | ||||
\(257\) | 17.2091 | + | 15.2459i | 1.07347 | + | 0.951015i | 0.998932 | − | 0.0462033i | \(-0.0147122\pi\) |
0.0745415 | + | 0.997218i | \(0.476251\pi\) | |||||||
\(258\) | − | 0.350590i | − | 0.0218268i | ||||||
\(259\) | 2.47654 | − | 2.19402i | 0.153885 | − | 0.136330i | ||||
\(260\) | −1.31297 | − | 2.68046i | −0.0814268 | − | 0.166235i | ||||
\(261\) | −8.69839 | − | 7.70611i | −0.538417 | − | 0.476996i | ||||
\(262\) | 17.0390 | − | 19.2331i | 1.05268 | − | 1.18823i | ||||
\(263\) | 3.22143 | + | 8.49420i | 0.198642 | + | 0.523775i | 0.996912 | − | 0.0785241i | \(-0.0250208\pi\) |
−0.798271 | + | 0.602299i | \(0.794252\pi\) | |||||||
\(264\) | −0.0408973 | + | 0.336820i | −0.00251706 | + | 0.0207298i | ||||
\(265\) | −3.92813 | + | 1.48974i | −0.241303 | + | 0.0915142i | ||||
\(266\) | 2.75699 | − | 0.334759i | 0.169042 | − | 0.0205254i | ||||
\(267\) | −0.215523 | + | 0.148765i | −0.0131898 | + | 0.00910426i | ||||
\(268\) | − | 14.7582i | − | 0.901502i | ||||||
\(269\) | 6.52433 | + | 9.45212i | 0.397795 | + | 0.576306i | 0.969787 | − | 0.243953i | \(-0.0784444\pi\) |
−0.571992 | + | 0.820259i | \(0.693829\pi\) | |||||||
\(270\) | −0.496102 | − | 0.122278i | −0.0301918 | − | 0.00744161i | ||||
\(271\) | 14.5947 | + | 16.4740i | 0.886564 | + | 1.00072i | 0.999974 | + | 0.00717530i | \(0.00228399\pi\) |
−0.113411 | + | 0.993548i | \(0.536178\pi\) | |||||||
\(272\) | −13.7300 | − | 19.8913i | −0.832501 | − | 1.20609i | ||||
\(273\) | −0.0582236 | + | 0.0621455i | −0.00352385 | + | 0.00376122i | ||||
\(274\) | 1.35676 | − | 1.96560i | 0.0819646 | − | 0.118746i | ||||
\(275\) | −15.9844 | + | 1.94086i | −0.963896 | + | 0.117038i | ||||
\(276\) | −0.0409011 | + | 0.336851i | −0.00246196 | + | 0.0202760i | ||||
\(277\) | −26.3640 | − | 13.8369i | −1.58406 | − | 0.831379i | −0.999804 | − | 0.0198090i | \(-0.993694\pi\) |
−0.584256 | − | 0.811570i | \(-0.698614\pi\) | |||||||
\(278\) | 4.41751 | − | 17.9225i | 0.264944 | − | 1.07492i | ||||
\(279\) | 20.1437 | + | 2.44589i | 1.20597 | + | 0.146432i | ||||
\(280\) | 0.193335 | − | 0.218230i | 0.0115540 | − | 0.0130417i | ||||
\(281\) | 22.8197 | − | 15.7513i | 1.36131 | − | 0.939643i | 0.361333 | − | 0.932437i | \(-0.382322\pi\) |
0.999974 | − | 0.00720608i | \(-0.00229379\pi\) | |||||||
\(282\) | 0.594287 | − | 0.860973i | 0.0353893 | − | 0.0512702i | ||||
\(283\) | −17.0550 | + | 4.20369i | −1.01382 | + | 0.249883i | −0.711020 | − | 0.703172i | \(-0.751766\pi\) |
−0.302796 | + | 0.953055i | \(0.597920\pi\) | |||||||
\(284\) | −1.60051 | − | 0.194337i | −0.0949725 | − | 0.0115318i | ||||
\(285\) | 0.195324 | − | 0.102514i | 0.0115700 | − | 0.00607241i | ||||
\(286\) | 22.1169 | + | 6.10925i | 1.30780 | + | 0.361247i | ||||
\(287\) | 2.87604 | + | 1.50946i | 0.169767 | + | 0.0891006i | ||||
\(288\) | 15.3287 | + | 10.5806i | 0.903253 | + | 0.623470i | ||||
\(289\) | 3.97205 | − | 5.75450i | 0.233650 | − | 0.338500i | ||||
\(290\) | −3.45404 | + | 3.06002i | −0.202828 | + | 0.179690i | ||||
\(291\) | −0.226456 | − | 0.255616i | −0.0132751 | − | 0.0149845i | ||||
\(292\) | −6.17941 | − | 2.34354i | −0.361623 | − | 0.137145i | ||||
\(293\) | −4.89485 | + | 9.32635i | −0.285960 | + | 0.544851i | −0.985486 | − | 0.169756i | \(-0.945702\pi\) |
0.699526 | + | 0.714607i | \(0.253394\pi\) | |||||||
\(294\) | −0.833309 | − | 0.316033i | −0.0485996 | − | 0.0184314i | ||||
\(295\) | 3.04684 | + | 0.750979i | 0.177394 | + | 0.0437237i | ||||
\(296\) | −10.0876 | + | 8.93688i | −0.586333 | + | 0.519445i | ||||
\(297\) | 1.24702 | − | 0.860758i | 0.0723596 | − | 0.0499462i | ||||
\(298\) | −0.0451907 | − | 0.119158i | −0.00261783 | − | 0.00690265i | ||||
\(299\) | −13.1000 | − | 3.61854i | −0.757590 | − | 0.209266i | ||||
\(300\) | 0.145747 | − | 0.384302i | 0.00841468 | − | 0.0221877i | ||||
\(301\) | −0.213805 | − | 0.867440i | −0.0123235 | − | 0.0499984i | ||||
\(302\) | −25.3485 | + | 13.3039i | −1.45864 | + | 0.765555i | ||||
\(303\) | 0.243810 | + | 0.642875i | 0.0140065 | + | 0.0369322i | ||||
\(304\) | −22.8769 | + | 2.77776i | −1.31208 | + | 0.159315i | ||||
\(305\) | −2.92264 | − | 2.01735i | −0.167350 | − | 0.115513i | ||||
\(306\) | −6.33478 | + | 25.7012i | −0.362135 | + | 1.46924i | ||||
\(307\) | −7.01209 | − | 28.4492i | −0.400201 | − | 1.62368i | −0.732683 | − | 0.680570i | \(-0.761732\pi\) |
0.332483 | − | 0.943109i | \(-0.392114\pi\) | |||||||
\(308\) | −0.175969 | − | 1.44923i | −0.0100268 | − | 0.0825778i | ||||
\(309\) | −0.459852 | + | 1.21253i | −0.0261600 | + | 0.0689784i | ||||
\(310\) | 1.92831 | − | 7.82348i | 0.109521 | − | 0.444344i | ||||
\(311\) | −8.53462 | + | 2.10359i | −0.483954 | + | 0.119284i | −0.473742 | − | 0.880664i | \(-0.657097\pi\) |
−0.0102124 | + | 0.999948i | \(0.503251\pi\) | |||||||
\(312\) | 0.237162 | − | 0.253137i | 0.0134266 | − | 0.0143310i | ||||
\(313\) | 18.3809 | + | 4.53050i | 1.03895 | + | 0.256079i | 0.721659 | − | 0.692249i | \(-0.243380\pi\) |
0.317293 | + | 0.948327i | \(0.397226\pi\) | |||||||
\(314\) | −5.15654 | + | 9.82496i | −0.291000 | + | 0.554455i | ||||
\(315\) | −0.650462 | −0.0366494 | ||||||||
\(316\) | 2.43737 | 0.137113 | ||||||||
\(317\) | 10.2424 | − | 19.5153i | 0.575271 | − | 1.09609i | −0.407835 | − | 0.913055i | \(-0.633716\pi\) |
0.983107 | − | 0.183033i | \(-0.0585914\pi\) | |||||||
\(318\) | 0.546667 | + | 0.617059i | 0.0306555 | + | 0.0346030i | ||||
\(319\) | − | 13.6847i | − | 0.766196i | ||||||
\(320\) | 0.591538 | − | 0.667708i | 0.0330680 | − | 0.0373260i | ||||
\(321\) | 0.190490 | − | 0.0999769i | 0.0106321 | − | 0.00558016i | ||||
\(322\) | 0.270183 | + | 2.22516i | 0.0150567 | + | 0.124003i | ||||
\(323\) | −10.6309 | − | 20.2554i | −0.591517 | − | 1.12704i | ||||
\(324\) | −1.35564 | − | 11.1647i | −0.0753135 | − | 0.620262i | ||||
\(325\) | 14.3575 | + | 8.05297i | 0.796409 | + | 0.446699i | ||||
\(326\) | 3.33367 | − | 27.4553i | 0.184635 | − | 1.52061i | ||||
\(327\) | 0.567632 | − | 0.215275i | 0.0313901 | − | 0.0119047i | ||||
\(328\) | −11.7149 | − | 6.14847i | −0.646849 | − | 0.339492i | ||||
\(329\) | 0.945344 | − | 2.49267i | 0.0521185 | − | 0.137425i | ||||
\(330\) | −0.139690 | − | 0.266156i | −0.00768966 | − | 0.0146514i | ||||
\(331\) | −10.0418 | − | 19.1331i | −0.551949 | − | 1.05165i | −0.988393 | − | 0.151919i | \(-0.951455\pi\) |
0.436444 | − | 0.899731i | \(-0.356238\pi\) | |||||||
\(332\) | 0.778585 | + | 3.15885i | 0.0427304 | + | 0.173364i | ||||
\(333\) | 29.8483 | + | 3.62423i | 1.63567 | + | 0.198607i | ||||
\(334\) | 16.7572 | + | 14.8456i | 0.916911 | + | 0.812313i | ||||
\(335\) | −4.39877 | − | 6.37272i | −0.240331 | − | 0.348179i | ||||
\(336\) | −0.108972 | − | 0.0413276i | −0.00594490 | − | 0.00225460i | ||||
\(337\) | 4.82536 | 0.262854 | 0.131427 | − | 0.991326i | \(-0.458044\pi\) | ||||
0.131427 | + | 0.991326i | \(0.458044\pi\) | |||||||
\(338\) | −14.5541 | − | 18.3972i | −0.791640 | − | 1.00067i | ||||
\(339\) | −0.856791 | −0.0465345 | ||||||||
\(340\) | 3.79133 | + | 1.43786i | 0.205614 | + | 0.0779789i | ||||
\(341\) | 13.5741 | + | 19.6654i | 0.735077 | + | 1.06494i | ||||
\(342\) | 18.8913 | + | 16.7362i | 1.02152 | + | 0.904992i | ||||
\(343\) | −4.54459 | − | 0.551813i | −0.245385 | − | 0.0297951i | ||||
\(344\) | 0.870888 | + | 3.53333i | 0.0469551 | + | 0.190505i | ||||
\(345\) | 0.0827389 | + | 0.157646i | 0.00445451 | + | 0.00848736i | ||||
\(346\) | 13.7075 | + | 26.1175i | 0.736921 | + | 1.40408i | ||||
\(347\) | 1.10386 | − | 2.91065i | 0.0592585 | − | 0.156252i | −0.902117 | − | 0.431491i | \(-0.857988\pi\) |
0.961376 | + | 0.275239i | \(0.0887570\pi\) | |||||||
\(348\) | 0.309301 | + | 0.162334i | 0.0165803 | + | 0.00870201i | ||||
\(349\) | −27.3443 | + | 10.3703i | −1.46371 | + | 0.555112i | −0.952552 | − | 0.304376i | \(-0.901552\pi\) |
−0.511157 | + | 0.859487i | \(0.670783\pi\) | |||||||
\(350\) | 0.327263 | − | 2.69525i | 0.0174929 | − | 0.144067i | ||||
\(351\) | −1.54851 | − | 0.0431282i | −0.0826535 | − | 0.00230201i | ||||
\(352\) | 2.64380 | + | 21.7736i | 0.140915 | + | 1.16054i | ||||
\(353\) | 0.0347175 | + | 0.0661486i | 0.00184782 | + | 0.00352074i | 0.886378 | − | 0.462962i | \(-0.153213\pi\) |
−0.884530 | + | 0.466483i | \(0.845521\pi\) | |||||||
\(354\) | −0.0742229 | − | 0.611280i | −0.00394490 | − | 0.0324892i | ||||
\(355\) | −0.749034 | + | 0.393124i | −0.0397546 | + | 0.0208648i | ||||
\(356\) | −3.04357 | + | 3.43548i | −0.161309 | + | 0.182080i | ||||
\(357\) | − | 0.115690i | − | 0.00612294i | ||||||
\(358\) | −12.7269 | − | 14.3657i | −0.672636 | − | 0.759249i | ||||
\(359\) | −14.2617 | + | 27.1734i | −0.752703 | + | 1.43416i | 0.143102 | + | 0.989708i | \(0.454292\pi\) |
−0.895805 | + | 0.444448i | \(0.853400\pi\) | |||||||
\(360\) | 2.64952 | 0.139642 | ||||||||
\(361\) | −2.81112 | −0.147954 | ||||||||
\(362\) | 5.48952 | − | 10.4594i | 0.288523 | − | 0.549734i | ||||
\(363\) | 0.100050 | + | 0.0246602i | 0.00525127 | + | 0.00129432i | ||||
\(364\) | −0.730127 | + | 1.30173i | −0.0382691 | + | 0.0682291i | ||||
\(365\) | −3.36683 | + | 0.829848i | −0.176228 | + | 0.0434362i | ||||
\(366\) | −0.166770 | + | 0.676611i | −0.00871719 | + | 0.0353670i | ||||
\(367\) | −5.66750 | + | 14.9440i | −0.295841 | + | 0.780069i | 0.701861 | + | 0.712314i | \(0.252353\pi\) |
−0.997702 | + | 0.0677552i | \(0.978416\pi\) | |||||||
\(368\) | −2.24192 | − | 18.4639i | −0.116868 | − | 0.962496i | ||||
\(369\) | 7.06397 | + | 28.6597i | 0.367736 | + | 1.49196i | ||||
\(370\) | 2.85731 | − | 11.5926i | 0.148544 | − | 0.602668i | ||||
\(371\) | 1.72889 | + | 1.19336i | 0.0897594 | + | 0.0619564i | ||||
\(372\) | −0.605499 | + | 0.0735209i | −0.0313937 | + | 0.00381188i | ||||
\(373\) | 0.145322 | + | 0.383181i | 0.00752447 | + | 0.0198404i | 0.938726 | − | 0.344665i | \(-0.112007\pi\) |
−0.931201 | + | 0.364505i | \(0.881238\pi\) | |||||||
\(374\) | −27.6008 | + | 14.4860i | −1.42720 | + | 0.749054i | ||||
\(375\) | −0.108127 | − | 0.438690i | −0.00558368 | − | 0.0226539i | ||||
\(376\) | −3.85066 | + | 10.1534i | −0.198583 | + | 0.523619i | ||||
\(377\) | −8.26503 | + | 11.2883i | −0.425671 | + | 0.581377i | ||||
\(378\) | 0.0906005 | + | 0.238894i | 0.00465999 | + | 0.0122874i | ||||
\(379\) | −13.5587 | + | 9.35891i | −0.696465 | + | 0.480735i | −0.862937 | − | 0.505311i | \(-0.831378\pi\) |
0.166472 | + | 0.986046i | \(0.446762\pi\) | |||||||
\(380\) | 2.89383 | − | 2.56371i | 0.148451 | − | 0.131516i | ||||
\(381\) | −0.790949 | − | 0.194951i | −0.0405215 | − | 0.00998766i | ||||
\(382\) | −42.1449 | − | 15.9834i | −2.15632 | − | 0.817784i | ||||
\(383\) | −1.57355 | + | 2.99815i | −0.0804047 | + | 0.153198i | −0.922339 | − | 0.386382i | \(-0.873725\pi\) |
0.841934 | + | 0.539580i | \(0.181417\pi\) | |||||||
\(384\) | 0.669855 | + | 0.254042i | 0.0341834 | + | 0.0129640i | ||||
\(385\) | −0.507937 | − | 0.573343i | −0.0258869 | − | 0.0292202i | ||||
\(386\) | 23.7922 | − | 21.0781i | 1.21099 | − | 1.07285i | ||||
\(387\) | 4.61205 | − | 6.68171i | 0.234444 | − | 0.339651i | ||||
\(388\) | −4.92570 | − | 3.39996i | −0.250064 | − | 0.172607i | ||||
\(389\) | 22.9003 | + | 12.0190i | 1.16109 | + | 0.609389i | 0.931444 | − | 0.363885i | \(-0.118550\pi\) |
0.229649 | + | 0.973273i | \(0.426242\pi\) | |||||||
\(390\) | −0.0455204 | + | 0.303915i | −0.00230501 | + | 0.0153893i | ||||
\(391\) | 16.3481 | − | 8.58014i | 0.826759 | − | 0.433916i | ||||
\(392\) | 9.18334 | + | 1.11506i | 0.463829 | + | 0.0563190i | ||||
\(393\) | −0.990898 | + | 0.244235i | −0.0499842 | + | 0.0123200i | ||||
\(394\) | −18.2937 | + | 26.5030i | −0.921624 | + | 1.33520i | ||||
\(395\) | 1.05248 | − | 0.726471i | 0.0529558 | − | 0.0365527i | ||||
\(396\) | 8.79753 | − | 9.93036i | 0.442093 | − | 0.499019i | ||||
\(397\) | 24.5311 | + | 2.97862i | 1.23118 | + | 0.149493i | 0.710154 | − | 0.704047i | \(-0.248625\pi\) |
0.521028 | + | 0.853539i | \(0.325549\pi\) | |||||||
\(398\) | −9.42070 | + | 38.2213i | −0.472217 | + | 1.91586i | ||||
\(399\) | −0.0976708 | − | 0.0512616i | −0.00488966 | − | 0.00256629i | ||||
\(400\) | −2.71555 | + | 22.3646i | −0.135778 | + | 1.11823i | ||||
\(401\) | −6.52706 | + | 0.792528i | −0.325946 | + | 0.0395770i | −0.281874 | − | 0.959451i | \(-0.590956\pi\) |
−0.0440716 | + | 0.999028i | \(0.514033\pi\) | |||||||
\(402\) | −0.863164 | + | 1.25051i | −0.0430507 | + | 0.0623697i | ||||
\(403\) | 0.680128 | − | 24.4199i | 0.0338796 | − | 1.21644i | ||||
\(404\) | 6.84528 | + | 9.91710i | 0.340565 | + | 0.493394i | ||||
\(405\) | −3.91309 | − | 4.41696i | −0.194443 | − | 0.219481i | ||||
\(406\) | 2.24043 | + | 0.552217i | 0.111191 | + | 0.0274061i | ||||
\(407\) | 20.1136 | + | 29.1395i | 0.996993 | + | 1.44439i | ||||
\(408\) | 0.471237i | 0.0233297i | ||||||||
\(409\) | 5.90260 | − | 4.07427i | 0.291865 | − | 0.201460i | −0.413130 | − | 0.910672i | \(-0.635565\pi\) |
0.704995 | + | 0.709212i | \(0.250949\pi\) | |||||||
\(410\) | 11.6356 | − | 1.41282i | 0.574641 | − | 0.0697740i | ||||
\(411\) | −0.0886967 | + | 0.0336382i | −0.00437508 | + | 0.00165925i | ||||
\(412\) | −2.73955 | + | 22.5622i | −0.134968 | + | 1.11156i | ||||
\(413\) | −0.556429 | − | 1.46718i | −0.0273801 | − | 0.0721954i | ||||
\(414\) | −13.5078 | + | 15.2471i | −0.663870 | + | 0.749355i | ||||
\(415\) | 1.27771 | + | 1.13195i | 0.0627204 | + | 0.0555654i | ||||
\(416\) | 10.9696 | − | 19.5575i | 0.537829 | − | 0.958883i | ||||
\(417\) | −0.548768 | + | 0.486166i | −0.0268733 | + | 0.0238076i | ||||
\(418\) | 29.7206i | 1.45368i | ||||||||
\(419\) | −0.597549 | − | 0.529382i | −0.0291922 | − | 0.0258620i | 0.648400 | − | 0.761299i | \(-0.275438\pi\) |
−0.677593 | + | 0.735437i | \(0.736977\pi\) | |||||||
\(420\) | 0.0189840 | − | 0.00467915i | 0.000926327 | − | 0.000228319i | ||||
\(421\) | −6.34030 | − | 4.37639i | −0.309007 | − | 0.213292i | 0.403461 | − | 0.914997i | \(-0.367807\pi\) |
−0.712468 | + | 0.701705i | \(0.752423\pi\) | |||||||
\(422\) | −19.9450 | + | 7.56415i | −0.970909 | + | 0.368217i | ||||
\(423\) | 22.6524 | − | 8.59093i | 1.10140 | − | 0.417705i | ||||
\(424\) | −7.04226 | − | 4.86092i | −0.342002 | − | 0.236067i | ||||
\(425\) | −21.7136 | + | 5.35192i | −1.05326 | + | 0.259606i | ||||
\(426\) | 0.124250 | + | 0.110075i | 0.00601991 | + | 0.00533317i | ||||
\(427\) | 1.77579i | 0.0859367i | ||||||||
\(428\) | 2.82221 | − | 2.50026i | 0.136417 | − | 0.120855i | ||||
\(429\) | −0.585098 | − | 0.698700i | −0.0282488 | − | 0.0337336i | ||||
\(430\) | −2.41314 | − | 2.13786i | −0.116372 | − | 0.103097i | ||||
\(431\) | −15.5599 | + | 17.5635i | −0.749495 | + | 0.846005i | −0.992273 | − | 0.124077i | \(-0.960403\pi\) |
0.242778 | + | 0.970082i | \(0.421941\pi\) | |||||||
\(432\) | −0.751783 | − | 1.98229i | −0.0361702 | − | 0.0953729i | ||||
\(433\) | 4.26993 | − | 35.1660i | 0.205200 | − | 1.68997i | −0.418428 | − | 0.908250i | \(-0.637419\pi\) |
0.623628 | − | 0.781721i | \(-0.285658\pi\) | |||||||
\(434\) | −3.76734 | + | 1.42876i | −0.180838 | + | 0.0685828i | ||||
\(435\) | 0.181943 | − | 0.0220919i | 0.00872352 | − | 0.00105923i | ||||
\(436\) | 8.75640 | − | 6.04411i | 0.419356 | − | 0.289460i | ||||
\(437\) | − | 17.6037i | − | 0.842099i | ||||||
\(438\) | 0.386534 | + | 0.559991i | 0.0184693 | + | 0.0267574i | ||||
\(439\) | 15.2356 | + | 3.75523i | 0.727154 | + | 0.179227i | 0.585481 | − | 0.810686i | \(-0.300906\pi\) |
0.141673 | + | 0.989914i | \(0.454752\pi\) | |||||||
\(440\) | 2.06898 | + | 2.33539i | 0.0986345 | + | 0.111335i | ||||
\(441\) | −11.7242 | − | 16.9854i | −0.558294 | − | 0.808828i | ||||
\(442\) | 31.5164 | + | 4.72053i | 1.49908 | + | 0.224533i | ||||
\(443\) | 3.60396 | − | 5.22124i | 0.171229 | − | 0.248068i | −0.727969 | − | 0.685610i | \(-0.759535\pi\) |
0.899198 | + | 0.437542i | \(0.144151\pi\) | |||||||
\(444\) | −0.897207 | + | 0.108941i | −0.0425796 | + | 0.00517010i | ||||
\(445\) | −0.290274 | + | 2.39062i | −0.0137603 | + | 0.113326i | ||||
\(446\) | −25.8712 | − | 13.5783i | −1.22504 | − | 0.642950i | ||||
\(447\) | −0.00121132 | + | 0.00491453i | −5.72936e−5 | + | 0.000232449i | ||||
\(448\) | −0.442812 | − | 0.0537671i | −0.0209209 | − | 0.00254026i | ||||
\(449\) | 23.9249 | − | 27.0056i | 1.12909 | − | 1.27447i | 0.171864 | − | 0.985121i | \(-0.445021\pi\) |
0.957222 | − | 0.289354i | \(-0.0934405\pi\) | |||||||
\(450\) | 20.3058 | − | 14.0160i | 0.957222 | − | 0.660723i | ||||
\(451\) | −19.7456 | + | 28.6064i | −0.929783 | + | 1.34702i | ||||
\(452\) | −14.5799 | + | 3.59362i | −0.685781 | + | 0.169030i | ||||
\(453\) | 1.12873 | + | 0.137053i | 0.0530326 | + | 0.00643932i | ||||
\(454\) | −9.01182 | + | 4.72977i | −0.422946 | + | 0.221979i | ||||
\(455\) | 0.0727126 | + | 0.779716i | 0.00340882 | + | 0.0365536i | ||||
\(456\) | 0.397842 | + | 0.208803i | 0.0186306 | + | 0.00977811i | ||||
\(457\) | 9.67187 | + | 6.67601i | 0.452431 | + | 0.312291i | 0.772399 | − | 0.635138i | \(-0.219057\pi\) |
−0.319968 | + | 0.947428i | \(0.603672\pi\) | |||||||
\(458\) | 8.59912 | − | 12.4580i | 0.401810 | − | 0.582123i | ||||
\(459\) | 1.57523 | − | 1.39554i | 0.0735256 | − | 0.0651380i | ||||
\(460\) | 2.06917 | + | 2.33561i | 0.0964754 | + | 0.108898i | ||||
\(461\) | −1.41283 | − | 0.535814i | −0.0658019 | − | 0.0249554i | 0.321484 | − | 0.946915i | \(-0.395818\pi\) |
−0.387286 | + | 0.921960i | \(0.626587\pi\) | |||||||
\(462\) | −0.0698510 | + | 0.133090i | −0.00324976 | + | 0.00619190i | ||||
\(463\) | −4.09867 | − | 1.55442i | −0.190481 | − | 0.0722401i | 0.257520 | − | 0.966273i | \(-0.417095\pi\) |
−0.448001 | + | 0.894033i | \(0.647864\pi\) | |||||||
\(464\) | −18.5906 | − | 4.58217i | −0.863047 | − | 0.212722i | ||||
\(465\) | −0.239546 | + | 0.212219i | −0.0111087 | + | 0.00984144i | ||||
\(466\) | −10.8272 | + | 7.47349i | −0.501561 | + | 0.346203i | ||||
\(467\) | −6.05640 | − | 15.9694i | −0.280257 | − | 0.738977i | −0.999043 | − | 0.0437453i | \(-0.986071\pi\) |
0.718786 | − | 0.695232i | \(-0.244698\pi\) | |||||||
\(468\) | −13.2545 | + | 2.87803i | −0.612689 | + | 0.133037i | ||||
\(469\) | −1.37305 | + | 3.62044i | −0.0634016 | + | 0.167176i | ||||
\(470\) | −2.30227 | − | 9.34066i | −0.106196 | − | 0.430852i | ||||
\(471\) | 0.390225 | − | 0.204806i | 0.0179806 | − | 0.00943696i | ||||
\(472\) | 2.26650 | + | 5.97626i | 0.104324 | + | 0.275080i | ||||
\(473\) | 9.49102 | − | 1.15242i | 0.436397 | − | 0.0529882i | ||||
\(474\) | −0.206526 | − | 0.142554i | −0.00948603 | − | 0.00654774i | ||||
\(475\) | −5.10285 | + | 20.7031i | −0.234135 | + | 0.949923i | ||||
\(476\) | −0.485235 | − | 1.96867i | −0.0222407 | − | 0.0902340i | ||||
\(477\) | 2.30115 | + | 18.9517i | 0.105362 | + | 0.867738i | ||||
\(478\) | 9.85189 | − | 25.9773i | 0.450615 | − | 1.18817i | ||||
\(479\) | −0.537860 | + | 2.18218i | −0.0245755 | + | 0.0997066i | −0.981949 | − | 0.189147i | \(-0.939428\pi\) |
0.957373 | + | 0.288853i | \(0.0932740\pi\) | |||||||
\(480\) | −0.285221 | + | 0.0703005i | −0.0130185 | + | 0.00320877i | ||||
\(481\) | 1.00779 | − | 36.1846i | 0.0459513 | − | 1.64987i | ||||
\(482\) | 38.0309 | + | 9.37379i | 1.73226 | + | 0.426964i | ||||
\(483\) | 0.0413731 | − | 0.0788298i | 0.00188254 | − | 0.00358688i | ||||
\(484\) | 1.80597 | 0.0820897 | ||||||||
\(485\) | −3.14034 | −0.142595 | ||||||||
\(486\) | −1.61900 | + | 3.08474i | −0.0734392 | + | 0.139927i | ||||
\(487\) | −22.0288 | − | 24.8653i | −0.998219 | − | 1.12676i | −0.991931 | − | 0.126776i | \(-0.959537\pi\) |
−0.00628722 | − | 0.999980i | \(-0.502001\pi\) | |||||||
\(488\) | − | 7.23332i | − | 0.327437i | ||||||
\(489\) | −0.728421 | + | 0.822217i | −0.0329403 | + | 0.0371819i | ||||
\(490\) | −7.25671 | + | 3.80862i | −0.327825 | + | 0.172056i | ||||
\(491\) | −4.38877 | − | 36.1448i | −0.198062 | − | 1.63119i | −0.664959 | − | 0.746879i | \(-0.731551\pi\) |
0.466897 | − | 0.884312i | \(-0.345372\pi\) | |||||||
\(492\) | −0.412331 | − | 0.785631i | −0.0185893 | − | 0.0354190i | ||||
\(493\) | −2.29097 | − | 18.8678i | −0.103180 | − | 0.849763i | ||||
\(494\) | 17.9501 | − | 24.5161i | 0.807614 | − | 1.10303i | ||||
\(495\) | 0.839046 | − | 6.91017i | 0.0377123 | − | 0.310589i | ||||
\(496\) | 31.2605 | − | 11.8556i | 1.40364 | − | 0.532330i | ||||
\(497\) | 0.374550 | + | 0.196579i | 0.0168009 | + | 0.00881778i | ||||
\(498\) | 0.118779 | − | 0.313196i | 0.00532263 | − | 0.0140346i | ||||
\(499\) | −6.95200 | − | 13.2459i | −0.311214 | − | 0.592969i | 0.678737 | − | 0.734382i | \(-0.262528\pi\) |
−0.989951 | + | 0.141413i | \(0.954836\pi\) | |||||||
\(500\) | −3.67998 | − | 7.01162i | −0.164574 | − | 0.313569i | ||||
\(501\) | −0.212793 | − | 0.863337i | −0.00950691 | − | 0.0385710i | ||||
\(502\) | 15.4388 | + | 1.87461i | 0.689068 | + | 0.0836681i | ||||
\(503\) | 20.8999 | + | 18.5157i | 0.931881 | + | 0.825575i | 0.984919 | − | 0.173018i | \(-0.0553518\pi\) |
−0.0530374 | + | 0.998593i | \(0.516890\pi\) | |||||||
\(504\) | −0.752616 | − | 1.09035i | −0.0335242 | − | 0.0485682i | ||||
\(505\) | 5.91170 | + | 2.24201i | 0.263067 | + | 0.0997682i | ||||
\(506\) | −23.9874 | −1.06637 | ||||||||
\(507\) | 0.0606499 | + | 0.929723i | 0.00269356 | + | 0.0412904i | ||||
\(508\) | −14.2771 | −0.633446 | ||||||||
\(509\) | −5.28161 | − | 2.00305i | −0.234103 | − | 0.0887837i | 0.234764 | − | 0.972052i | \(-0.424568\pi\) |
−0.468867 | + | 0.883269i | \(0.655338\pi\) | |||||||
\(510\) | −0.237155 | − | 0.343578i | −0.0105014 | − | 0.0152139i | ||||
\(511\) | 1.29788 | + | 1.14982i | 0.0574148 | + | 0.0508650i | ||||
\(512\) | 17.3136 | + | 2.10225i | 0.765158 | + | 0.0929070i | ||||
\(513\) | −0.480199 | − | 1.94825i | −0.0212013 | − | 0.0860172i | ||||
\(514\) | −19.2798 | − | 36.7345i | −0.850394 | − | 1.62029i | ||||
\(515\) | 5.54183 | + | 10.5591i | 0.244202 | + | 0.465288i | ||||
\(516\) | −0.0865396 | + | 0.228186i | −0.00380969 | + | 0.0100453i | ||||
\(517\) | 25.2614 | + | 13.2582i | 1.11099 | + | 0.583094i | ||||
\(518\) | −5.58231 | + | 2.11709i | −0.245272 | + | 0.0930196i | ||||
\(519\) | 0.141211 | − | 1.16298i | 0.00619847 | − | 0.0510490i | ||||
\(520\) | −0.296179 | − | 3.17601i | −0.0129883 | − | 0.139277i | ||||
\(521\) | 5.24338 | + | 43.1831i | 0.229717 | + | 1.89189i | 0.415959 | + | 0.909383i | \(0.363446\pi\) |
−0.186243 | + | 0.982504i | \(0.559631\pi\) | |||||||
\(522\) | 9.74503 | + | 18.5676i | 0.426528 | + | 0.812682i | ||||
\(523\) | −4.38425 | − | 36.1076i | −0.191710 | − | 1.57887i | −0.697736 | − | 0.716355i | \(-0.745809\pi\) |
0.506026 | − | 0.862518i | \(-0.331114\pi\) | |||||||
\(524\) | −15.8376 | + | 8.31221i | −0.691869 | + | 0.363121i | ||||
\(525\) | −0.0715082 | + | 0.0807160i | −0.00312087 | + | 0.00352274i | ||||
\(526\) | − | 16.3927i | − | 0.714757i | ||||||
\(527\) | 22.0075 | + | 24.8413i | 0.958660 | + | 1.08210i | ||||
\(528\) | 0.579608 | − | 1.10435i | 0.0252242 | − | 0.0480607i | ||||
\(529\) | −8.79211 | −0.382266 | ||||||||
\(530\) | 7.58079 | 0.329289 | ||||||||
\(531\) | 6.62689 | − | 12.6265i | 0.287583 | − | 0.547943i | ||||
\(532\) | −1.87706 | − | 0.462653i | −0.0813807 | − | 0.0200586i | ||||
\(533\) | 33.5650 | − | 11.6714i | 1.45386 | − | 0.505545i | ||||
\(534\) | 0.458821 | − | 0.113089i | 0.0198551 | − | 0.00489385i | ||||
\(535\) | 0.473437 | − | 1.92081i | 0.0204685 | − | 0.0830438i | ||||
\(536\) | 5.59284 | − | 14.7471i | 0.241574 | − | 0.636978i | ||||
\(537\) | 0.0918821 | + | 0.756718i | 0.00396501 | + | 0.0326548i | ||||
\(538\) | −4.95972 | − | 20.1224i | −0.213829 | − | 0.867537i | ||||
\(539\) | 5.81634 | − | 23.5978i | 0.250527 | − | 1.01643i | ||||
\(540\) | 0.292711 | + | 0.202044i | 0.0125963 | + | 0.00869459i | ||||
\(541\) | −12.9920 | + | 1.57751i | −0.558570 | + | 0.0678227i | −0.394953 | − | 0.918701i | \(-0.629239\pi\) |
−0.163617 | + | 0.986524i | \(0.552316\pi\) | |||||||
\(542\) | −14.0829 | − | 37.1336i | −0.604914 | − | 1.59503i | ||||
\(543\) | −0.415424 | + | 0.218031i | −0.0178275 | + | 0.00935661i | ||||
\(544\) | 7.29027 | + | 29.5778i | 0.312568 | + | 1.26814i | ||||
\(545\) | 1.97961 | − | 5.21979i | 0.0847970 | − | 0.223591i | ||||
\(546\) | 0.138000 | − | 0.0675964i | 0.00590586 | − | 0.00289286i | ||||
\(547\) | −7.21929 | − | 19.0357i | −0.308674 | − | 0.813907i | −0.996147 | − | 0.0876973i | \(-0.972049\pi\) |
0.687473 | − | 0.726210i | \(-0.258720\pi\) | |||||||
\(548\) | −1.36825 | + | 0.944436i | −0.0584488 | + | 0.0403443i | ||||
\(549\) | −12.0793 | + | 10.7013i | −0.515531 | + | 0.456721i | ||||
\(550\) | 28.2108 | + | 6.95334i | 1.20291 | + | 0.296491i | ||||
\(551\) | −16.9442 | − | 6.42610i | −0.721849 | − | 0.273761i | ||||
\(552\) | −0.168525 | + | 0.321097i | −0.00717288 | + | 0.0136668i | ||||
\(553\) | −0.597927 | − | 0.226764i | −0.0254265 | − | 0.00964298i | ||||
\(554\) | 35.6276 | + | 40.2152i | 1.51367 | + | 1.70858i | ||||
\(555\) | −0.354951 | + | 0.314459i | −0.0150668 | + | 0.0133480i | ||||
\(556\) | −7.29919 | + | 10.5747i | −0.309555 | + | 0.448467i | ||||
\(557\) | −12.5398 | − | 8.65558i | −0.531327 | − | 0.366749i | 0.271990 | − | 0.962300i | \(-0.412318\pi\) |
−0.803317 | + | 0.595552i | \(0.796934\pi\) | |||||||
\(558\) | −32.4215 | − | 17.0161i | −1.37251 | − | 0.720349i | ||||
\(559\) | −8.52500 | − | 4.78160i | −0.360569 | − | 0.202240i | ||||
\(560\) | −0.948960 | + | 0.498053i | −0.0401009 | + | 0.0210466i | ||||
\(561\) | 1.22903 | + | 0.149231i | 0.0518895 | + | 0.00630053i | ||||
\(562\) | −48.5802 | + | 11.9739i | −2.04923 | + | 0.505090i | ||||
\(563\) | −20.2500 | + | 29.3372i | −0.853436 | + | 1.23642i | 0.116532 | + | 0.993187i | \(0.462822\pi\) |
−0.969969 | + | 0.243229i | \(0.921793\pi\) | |||||||
\(564\) | −0.599322 | + | 0.413682i | −0.0252360 | + | 0.0174192i | ||||
\(565\) | −5.22462 | + | 5.89738i | −0.219801 | + | 0.248105i | ||||
\(566\) | 31.4651 | + | 3.82055i | 1.32258 | + | 0.160590i | ||||
\(567\) | −0.706163 | + | 2.86502i | −0.0296561 | + | 0.120319i | ||||
\(568\) | −1.52565 | − | 0.800724i | −0.0640149 | − | 0.0335976i | ||||
\(569\) | 5.24552 | − | 43.2007i | 0.219903 | − | 1.81107i | −0.296839 | − | 0.954927i | \(-0.595933\pi\) |
0.516743 | − | 0.856141i | \(-0.327144\pi\) | |||||||
\(570\) | −0.395147 | + | 0.0479796i | −0.0165509 | + | 0.00200964i | ||||
\(571\) | −9.07445 | + | 13.1466i | −0.379754 | + | 0.550168i | −0.965526 | − | 0.260308i | \(-0.916176\pi\) |
0.585772 | + | 0.810476i | \(0.300791\pi\) | |||||||
\(572\) | −12.8871 | − | 9.43562i | −0.538836 | − | 0.394523i | ||||
\(573\) | 1.01697 | + | 1.47333i | 0.0424845 | + | 0.0615494i | ||||
\(574\) | −3.88659 | − | 4.38706i | −0.162223 | − | 0.183112i | ||||
\(575\) | −16.7094 | − | 4.11850i | −0.696830 | − | 0.171753i | ||||
\(576\) | −2.30274 | − | 3.33610i | −0.0959476 | − | 0.139004i | ||||
\(577\) | 9.17968i | 0.382155i | 0.981575 | + | 0.191078i | \(0.0611982\pi\) | ||||
−0.981575 | + | 0.191078i | \(0.938802\pi\) | |||||||
\(578\) | −10.3838 | + | 7.16741i | −0.431908 | + | 0.298125i | ||||
\(579\) | −1.25327 | + | 0.152174i | −0.0520839 | + | 0.00632414i | ||||
\(580\) | 3.00345 | − | 1.13906i | 0.124711 | − | 0.0472968i | ||||
\(581\) | 0.102887 | − | 0.847355i | 0.00426849 | − | 0.0351542i | ||||
\(582\) | 0.218516 | + | 0.576179i | 0.00905777 | + | 0.0238834i | ||||
\(583\) | −14.9078 | + | 16.8274i | −0.617419 | + | 0.696922i | ||||
\(584\) | −5.28663 | − | 4.68355i | −0.218762 | − | 0.193807i | ||||
\(585\) | −4.86559 | + | 5.19333i | −0.201167 | + | 0.214718i | ||||
\(586\) | 14.2263 | − | 12.6034i | 0.587681 | − | 0.520640i | ||||
\(587\) | 22.2638i | 0.918924i | 0.888197 | + | 0.459462i | \(0.151958\pi\) | ||||
−0.888197 | + | 0.459462i | \(0.848042\pi\) | |||||||
\(588\) | 0.464361 | + | 0.411388i | 0.0191499 | + | 0.0169654i | ||||
\(589\) | 30.7237 | − | 7.57270i | 1.26595 | − | 0.312028i | ||||
\(590\) | −4.66011 | − | 3.21664i | −0.191854 | − | 0.132427i | ||||
\(591\) | 1.19593 | − | 0.453558i | 0.0491942 | − | 0.0186569i | ||||
\(592\) | 46.3207 | − | 17.5671i | 1.90377 | − | 0.722005i | ||||
\(593\) | 9.13330 | + | 6.30426i | 0.375060 | + | 0.258885i | 0.740650 | − | 0.671891i | \(-0.234518\pi\) |
−0.365591 | + | 0.930776i | \(0.619133\pi\) | |||||||
\(594\) | −2.65475 | + | 0.654338i | −0.108926 | + | 0.0268478i | ||||
\(595\) | −0.796303 | − | 0.705463i | −0.0326452 | − | 0.0289212i | ||||
\(596\) | 0.0887106i | 0.00363373i | ||||||||
\(597\) | 1.17029 | − | 1.03679i | 0.0478969 | − | 0.0424330i | ||||
\(598\) | 19.7869 | + | 14.4875i | 0.809145 | + | 0.592437i | ||||
\(599\) | 20.9579 | + | 18.5671i | 0.856315 | + | 0.758629i | 0.972081 | − | 0.234647i | \(-0.0753935\pi\) |
−0.115765 | + | 0.993277i | \(0.536932\pi\) | |||||||
\(600\) | 0.291273 | − | 0.328780i | 0.0118912 | − | 0.0134224i | ||||
\(601\) | 9.65153 | + | 25.4490i | 0.393694 | + | 1.03809i | 0.974568 | + | 0.224092i | \(0.0719418\pi\) |
−0.580874 | + | 0.813994i | \(0.697289\pi\) | |||||||
\(602\) | −0.194318 | + | 1.60035i | −0.00791981 | + | 0.0652255i | ||||
\(603\) | −32.9012 | + | 12.4778i | −1.33984 | + | 0.508134i | ||||
\(604\) | 19.7824 | − | 2.40201i | 0.804933 | − | 0.0977365i | ||||
\(605\) | 0.779834 | − | 0.538280i | 0.0317048 | − | 0.0218842i | ||||
\(606\) | − | 1.24067i | − | 0.0503986i | ||||||
\(607\) | −21.2694 | − | 30.8140i | −0.863298 | − | 1.25070i | −0.966661 | − | 0.256060i | \(-0.917576\pi\) |
0.103363 | − | 0.994644i | \(-0.467040\pi\) | |||||||
\(608\) | 28.2013 | + | 6.95100i | 1.14371 | + | 0.281900i | ||||
\(609\) | −0.0607739 | − | 0.0685995i | −0.00246268 | − | 0.00277979i | ||||
\(610\) | 3.64024 | + | 5.27379i | 0.147389 | + | 0.213530i | ||||
\(611\) | −12.8303 | − | 26.1934i | −0.519057 | − | 1.05967i | ||||
\(612\) | 10.4672 | − | 15.1643i | 0.423110 | − | 0.612980i | ||||
\(613\) | −6.70832 | + | 0.814538i | −0.270947 | + | 0.0328989i | −0.254882 | − | 0.966972i | \(-0.582037\pi\) |
−0.0160643 | + | 0.999871i | \(0.505114\pi\) | |||||||
\(614\) | −6.37299 | + | 52.4863i | −0.257193 | + | 2.11817i | ||||
\(615\) | −0.412210 | − | 0.216344i | −0.0166219 | − | 0.00872384i | ||||
\(616\) | 0.373371 | − | 1.51483i | 0.0150436 | − | 0.0610341i | ||||
\(617\) | −44.1267 | − | 5.35795i | −1.77648 | − | 0.215703i | −0.834413 | − | 0.551140i | \(-0.814193\pi\) |
−0.942063 | + | 0.335437i | \(0.891116\pi\) | |||||||
\(618\) | 1.55172 | − | 1.75153i | 0.0624195 | − | 0.0704571i | ||||
\(619\) | −5.52087 | + | 3.81078i | −0.221902 | + | 0.153168i | −0.673830 | − | 0.738886i | \(-0.735352\pi\) |
0.451927 | + | 0.892055i | \(0.350737\pi\) | |||||||
\(620\) | −3.18622 | + | 4.61603i | −0.127962 | + | 0.185384i | ||||
\(621\) | 1.57242 | − | 0.387568i | 0.0630992 | − | 0.0155526i | ||||
\(622\) | 15.7457 | + | 1.91187i | 0.631343 | + | 0.0766589i | ||||
\(623\) | 1.06626 | − | 0.559618i | 0.0427189 | − | 0.0224206i | ||||
\(624\) | −1.14509 | + | 0.560900i | −0.0458404 | + | 0.0224540i | ||||
\(625\) | 16.5345 | + | 8.67799i | 0.661381 | + | 0.347120i | ||||
\(626\) | −28.1134 | − | 19.4053i | −1.12364 | − | 0.775591i | ||||
\(627\) | 0.670564 | − | 0.971480i | 0.0267798 | − | 0.0387972i | ||||
\(628\) | 5.78140 | − | 5.12187i | 0.230703 | − | 0.204385i | ||||
\(629\) | 32.6099 | + | 36.8090i | 1.30024 | + | 1.46767i | ||||
\(630\) | 1.09746 | + | 0.416212i | 0.0437239 | + | 0.0165823i | ||||
\(631\) | −13.1080 | + | 24.9751i | −0.521820 | + | 0.994244i | 0.471826 | + | 0.881692i | \(0.343595\pi\) |
−0.993646 | + | 0.112553i | \(0.964097\pi\) | |||||||
\(632\) | 2.43553 | + | 0.923675i | 0.0968802 | + | 0.0367418i | ||||
\(633\) | 0.822609 | + | 0.202755i | 0.0326958 | + | 0.00805878i | ||||
\(634\) | −29.7683 | + | 26.3724i | −1.18225 | + | 1.04738i | ||||
\(635\) | −6.16499 | + | 4.25538i | −0.244650 | + | 0.168870i | ||||
\(636\) | −0.203491 | − | 0.536560i | −0.00806893 | − | 0.0212760i | ||||
\(637\) | −19.0500 | + | 15.9526i | −0.754787 | + | 0.632066i | ||||
\(638\) | −8.75645 | + | 23.0889i | −0.346671 | + | 0.914097i | ||||
\(639\) | 0.919951 | + | 3.73239i | 0.0363927 | + | 0.147651i | ||||
\(640\) | 5.83330 | − | 3.06155i | 0.230581 | − | 0.121018i | ||||
\(641\) | 7.65645 | + | 20.1884i | 0.302411 | + | 0.797393i | 0.996958 | + | 0.0779453i | \(0.0248360\pi\) |
−0.694546 | + | 0.719448i | \(0.744395\pi\) | |||||||
\(642\) | −0.385367 | + | 0.0467921i | −0.0152092 | + | 0.00184674i | ||||
\(643\) | −7.88819 | − | 5.44482i | −0.311080 | − | 0.214723i | 0.402287 | − | 0.915513i | \(-0.368215\pi\) |
−0.713367 | + | 0.700791i | \(0.752831\pi\) | |||||||
\(644\) | 0.373406 | − | 1.51497i | 0.0147143 | − | 0.0596981i | ||||
\(645\) | 0.0306437 | + | 0.124326i | 0.00120659 | + | 0.00489534i | ||||
\(646\) | 4.97555 | + | 40.9774i | 0.195761 | + | 1.61223i | ||||
\(647\) | −11.8038 | + | 31.1241i | −0.464056 | + | 1.22361i | 0.475041 | + | 0.879963i | \(0.342433\pi\) |
−0.939097 | + | 0.343651i | \(0.888336\pi\) | |||||||
\(648\) | 2.87641 | − | 11.6700i | 0.112996 | − | 0.458443i | ||||
\(649\) | 16.3043 | − | 4.01866i | 0.640001 | − | 0.157746i | ||||
\(650\) | −19.0711 | − | 22.7739i | −0.748030 | − | 0.893267i | ||||
\(651\) | 0.155379 | + | 0.0382975i | 0.00608979 | + | 0.00150100i | ||||
\(652\) | −8.94683 | + | 17.0468i | −0.350385 | + | 0.667602i | ||||
\(653\) | 31.3330 | 1.22616 | 0.613078 | − | 0.790022i | \(-0.289931\pi\) | ||||
0.613078 | + | 0.790022i | \(0.289931\pi\) | |||||||
\(654\) | −1.09546 | −0.0428358 | ||||||||
\(655\) | −4.36130 | + | 8.30977i | −0.170410 | + | 0.324689i | ||||
\(656\) | 32.2501 | + | 36.4028i | 1.25915 | + | 1.42129i | ||||
\(657\) | 15.7575i | 0.614757i | ||||||||
\(658\) | −3.18997 | + | 3.60073i | −0.124358 | + | 0.140371i | ||||
\(659\) | −3.29907 | + | 1.73148i | −0.128513 | + | 0.0674490i | −0.527755 | − | 0.849397i | \(-0.676966\pi\) |
0.399241 | + | 0.916846i | \(0.369274\pi\) | |||||||
\(660\) | 0.0252208 | + | 0.207712i | 0.000981720 | + | 0.00808519i | ||||
\(661\) | 7.00117 | + | 13.3396i | 0.272314 | + | 0.518851i | 0.982757 | − | 0.184904i | \(-0.0591975\pi\) |
−0.710443 | + | 0.703755i | \(0.751505\pi\) | |||||||
\(662\) | 4.69987 | + | 38.7069i | 0.182666 | + | 1.50439i | ||||
\(663\) | −0.923674 | − | 0.865382i | −0.0358725 | − | 0.0336086i | ||||
\(664\) | −0.419090 | + | 3.45152i | −0.0162639 | + | 0.133945i | ||||
\(665\) | −0.948425 | + | 0.359690i | −0.0367783 | + | 0.0139482i | ||||
\(666\) | −48.0410 | − | 25.2139i | −1.86155 | − | 0.977017i | ||||
\(667\) | 5.18649 | − | 13.6756i | 0.200822 | − | 0.529523i | ||||
\(668\) | −7.24215 | − | 13.7988i | −0.280207 | − | 0.533890i | ||||
\(669\) | 0.539298 | + | 1.02755i | 0.0208505 | + | 0.0397273i | ||||
\(670\) | 3.34389 | + | 13.5667i | 0.129186 | + | 0.524128i | ||||
\(671\) | −18.8651 | − | 2.29064i | −0.728279 | − | 0.0884291i | ||||
\(672\) | 0.109950 | + | 0.0974070i | 0.00424140 | + | 0.00375755i | ||||
\(673\) | 2.19947 | + | 3.18648i | 0.0847832 | + | 0.122830i | 0.863081 | − | 0.505066i | \(-0.168532\pi\) |
−0.778298 | + | 0.627896i | \(0.783916\pi\) | |||||||
\(674\) | −8.14136 | − | 3.08761i | −0.313593 | − | 0.118930i | ||||
\(675\) | −1.96162 | −0.0755027 | ||||||||
\(676\) | 4.93159 | + | 15.5666i | 0.189677 | + | 0.598715i | ||||
\(677\) | 7.14945 | 0.274776 | 0.137388 | − | 0.990517i | \(-0.456129\pi\) | ||||
0.137388 | + | 0.990517i | \(0.456129\pi\) | |||||||
\(678\) | 1.44558 | + | 0.548236i | 0.0555172 | + | 0.0210549i | ||||
\(679\) | 0.892036 | + | 1.29234i | 0.0342332 | + | 0.0495954i | ||||
\(680\) | 3.24357 | + | 2.87355i | 0.124385 | + | 0.110196i | ||||
\(681\) | 0.401284 | + | 0.0487247i | 0.0153772 | + | 0.00186713i | ||||
\(682\) | −10.3188 | − | 41.8652i | −0.395129 | − | 1.60310i | ||||
\(683\) | −20.0208 | − | 38.1464i | −0.766075 | − | 1.45963i | −0.884435 | − | 0.466663i | \(-0.845456\pi\) |
0.118361 | − | 0.992971i | \(-0.462236\pi\) | |||||||
\(684\) | −8.16449 | − | 15.5561i | −0.312177 | − | 0.594804i | ||||
\(685\) | −0.309328 | + | 0.815630i | −0.0118188 | + | 0.0311636i | ||||
\(686\) | 7.31454 | + | 3.83897i | 0.279271 | + | 0.146573i | ||||
\(687\) | −0.562160 | + | 0.213199i | −0.0214477 | + | 0.00813405i | ||||
\(688\) | 1.61241 | − | 13.2794i | 0.0614725 | − | 0.506271i | ||||
\(689\) | 22.4603 | − | 4.87695i | 0.855671 | − | 0.185797i | ||||
\(690\) | −0.0387242 | − | 0.318922i | −0.00147420 | − | 0.0121412i | ||||
\(691\) | 17.1746 | + | 32.7235i | 0.653354 | + | 1.24486i | 0.956448 | + | 0.291902i | \(0.0942880\pi\) |
−0.303094 | + | 0.952961i | \(0.598020\pi\) | |||||||
\(692\) | −2.47488 | − | 20.3825i | −0.0940809 | − | 0.774826i | ||||
\(693\) | −3.08207 | + | 1.61759i | −0.117078 | + | 0.0614473i | ||||
\(694\) | −3.72488 | + | 4.20452i | −0.141394 | + | 0.159601i | ||||
\(695\) | 6.74181i | 0.255731i | ||||||||
\(696\) | 0.247549 | + | 0.279426i | 0.00938334 | + | 0.0105916i | ||||
\(697\) | −22.4352 | + | 42.7467i | −0.849795 | + | 1.61915i | ||||
\(698\) | 52.7711 | 1.99742 | ||||||||
\(699\) | 0.522528 | 0.0197638 | ||||||||
\(700\) | −0.878299 | + | 1.67346i | −0.0331966 | + | 0.0632508i | ||||
\(701\) | −18.8590 | − | 4.64832i | −0.712293 | − | 0.175565i | −0.133512 | − | 0.991047i | \(-0.542625\pi\) |
−0.578782 | + | 0.815483i | \(0.696472\pi\) | |||||||
\(702\) | 2.58506 | + | 1.06361i | 0.0975667 | + | 0.0401435i | ||||
\(703\) | 45.5252 | − | 11.2210i | 1.71702 | − | 0.423207i | ||||
\(704\) | 1.14239 | − | 4.63484i | 0.0430553 | − | 0.174682i | ||||
\(705\) | −0.135492 | + | 0.357263i | −0.00510292 | + | 0.0134553i | ||||
\(706\) | −0.0162488 | − | 0.133821i | −0.000611531 | − | 0.00503641i | ||||
\(707\) | −0.756611 | − | 3.06969i | −0.0284553 | − | 0.115448i | ||||
\(708\) | −0.102579 | + | 0.416181i | −0.00385517 | + | 0.0156411i | ||||
\(709\) | −42.2805 | − | 29.1841i | −1.58788 | − | 1.09603i | −0.943523 | − | 0.331308i | \(-0.892510\pi\) |
−0.644356 | − | 0.764725i | \(-0.722875\pi\) | |||||||
\(710\) | 1.51532 | − | 0.183993i | 0.0568690 | − | 0.00690514i | ||||
\(711\) | −2.06075 | − | 5.43374i | −0.0772840 | − | 0.203781i | ||||
\(712\) | −4.34319 | + | 2.27948i | −0.162768 | + | 0.0854273i | ||||
\(713\) | 6.11191 | + | 24.7970i | 0.228893 | + | 0.928654i | ||||
\(714\) | −0.0740264 | + | 0.195192i | −0.00277037 | + | 0.00730486i | ||||
\(715\) | −8.37708 | − | 0.233313i | −0.313285 | − | 0.00872542i | ||||
\(716\) | 4.73743 | + | 12.4916i | 0.177046 | + | 0.466832i | ||||
\(717\) | −0.908136 | + | 0.626841i | −0.0339150 | + | 0.0234098i | ||||
\(718\) | 41.4498 | − | 36.7213i | 1.54689 | − | 1.37043i | ||||
\(719\) | −42.9134 | − | 10.5772i | −1.60040 | − | 0.394463i | −0.664656 | − | 0.747149i | \(-0.731422\pi\) |
−0.935742 | + | 0.352686i | \(0.885268\pi\) | |||||||
\(720\) | −9.10648 | − | 3.45363i | −0.339378 | − | 0.128709i | ||||
\(721\) | 2.77116 | − | 5.28001i | 0.103203 | − | 0.196638i | ||||
\(722\) | 4.74293 | + | 1.79876i | 0.176514 | + | 0.0669428i | ||||
\(723\) | −1.03163 | − | 1.16447i | −0.0383666 | − | 0.0433069i | ||||
\(724\) | −6.15472 | + | 5.45261i | −0.228739 | + | 0.202645i | ||||
\(725\) | −10.0639 | + | 14.5800i | −0.373763 | + | 0.541489i | ||||
\(726\) | −0.153026 | − | 0.105626i | −0.00567931 | − | 0.00392015i | ||||
\(727\) | −18.2408 | − | 9.57350i | −0.676513 | − | 0.355062i | 0.0912202 | − | 0.995831i | \(-0.470923\pi\) |
−0.767734 | + | 0.640769i | \(0.778616\pi\) | |||||||
\(728\) | −1.22289 | + | 1.02405i | −0.0453231 | + | 0.0379540i | ||||
\(729\) | −23.6621 | + | 12.4188i | −0.876373 | + | 0.459956i | ||||
\(730\) | 6.21151 | + | 0.754214i | 0.229898 | + | 0.0279147i | ||||
\(731\) | 12.8928 | − | 3.17780i | 0.476858 | − | 0.117535i | ||||
\(732\) | 0.275559 | − | 0.399216i | 0.0101850 | − | 0.0147554i | ||||
\(733\) | 5.84606 | − | 4.03524i | 0.215929 | − | 0.149045i | −0.455191 | − | 0.890394i | \(-0.650429\pi\) |
0.671120 | + | 0.741349i | \(0.265814\pi\) | |||||||
\(734\) | 19.1244 | − | 21.5870i | 0.705896 | − | 0.796792i | ||||
\(735\) | 0.323132 | + | 0.0392353i | 0.0119189 | + | 0.00144721i | ||||
\(736\) | −5.61013 | + | 22.7612i | −0.206792 | + | 0.838989i | ||||
\(737\) | −36.6905 | − | 19.2567i | −1.35151 | − | 0.709329i | ||||
\(738\) | 6.42014 | − | 52.8746i | 0.236329 | − | 1.94634i | ||||
\(739\) | 11.1160 | − | 1.34973i | 0.408909 | − | 0.0496505i | 0.0865020 | − | 0.996252i | \(-0.472431\pi\) |
0.322407 | + | 0.946601i | \(0.395508\pi\) | |||||||
\(740\) | −4.72122 | + | 6.83987i | −0.173556 | + | 0.251439i | ||||
\(741\) | −1.13987 | + | 0.396364i | −0.0418743 | + | 0.0145608i | ||||
\(742\) | −2.15338 | − | 3.11971i | −0.0790531 | − | 0.114528i | ||||
\(743\) | −17.4377 | − | 19.6832i | −0.639729 | − | 0.722105i | 0.335810 | − | 0.941930i | \(-0.390990\pi\) |
−0.975539 | + | 0.219825i | \(0.929451\pi\) | |||||||
\(744\) | −0.632904 | − | 0.155997i | −0.0232034 | − | 0.00571912i | ||||
\(745\) | 0.0264407 | + | 0.0383060i | 0.000968712 | + | 0.00140342i | ||||
\(746\) | − | 0.739491i | − | 0.0270747i | ||||||
\(747\) | 6.38388 | − | 4.40648i | 0.233574 | − | 0.161225i | ||||
\(748\) | 21.5401 | − | 2.61544i | 0.787583 | − | 0.0956299i | ||||
\(749\) | −0.924951 | + | 0.350788i | −0.0337970 | + | 0.0128175i | ||||
\(750\) | −0.0982725 | + | 0.809347i | −0.00358840 | + | 0.0295532i | ||||
\(751\) | −6.03822 | − | 15.9215i | −0.220338 | − | 0.580983i | 0.778578 | − | 0.627548i | \(-0.215942\pi\) |
−0.998915 | + | 0.0465658i | \(0.985172\pi\) | |||||||
\(752\) | 26.4697 | − | 29.8781i | 0.965250 | − | 1.08954i | ||||
\(753\) | −0.462354 | − | 0.409610i | −0.0168491 | − | 0.0149270i | ||||
\(754\) | 21.1678 | − | 13.7571i | 0.770887 | − | 0.501003i | ||||
\(755\) | 7.82625 | − | 6.93345i | 0.284826 | − | 0.252334i | ||||
\(756\) | − | 0.177851i | − | 0.00646839i | ||||||
\(757\) | 3.27955 | + | 2.90543i | 0.119197 | + | 0.105600i | 0.720616 | − | 0.693335i | \(-0.243859\pi\) |
−0.601419 | + | 0.798934i | \(0.705398\pi\) | |||||||
\(758\) | 28.8648 | − | 7.11453i | 1.04842 | − | 0.258411i | ||||
\(759\) | 0.784079 | + | 0.541211i | 0.0284603 | + | 0.0196447i | ||||
\(760\) | 3.86321 | − | 1.46512i | 0.140133 | − | 0.0531456i | ||||
\(761\) | 23.5689 | − | 8.93852i | 0.854373 | − | 0.324021i | 0.111755 | − | 0.993736i | \(-0.464353\pi\) |
0.742618 | + | 0.669715i | \(0.233584\pi\) | |||||||
\(762\) | 1.20975 | + | 0.835027i | 0.0438245 | + | 0.0302499i | ||||
\(763\) | −2.71041 | + | 0.668057i | −0.0981236 | + | 0.0241853i | ||||
\(764\) | 23.4852 | + | 20.8061i | 0.849665 | + | 0.752737i | ||||
\(765\) | − | 9.66787i | − | 0.349542i | ||||||
\(766\) | 4.57333 | − | 4.05161i | 0.165241 | − | 0.146391i | ||||
\(767\) | −15.8763 | − | 6.53226i | −0.573260 | − | 0.235866i | ||||
\(768\) | −1.11285 | − | 0.985896i | −0.0401564 | − | 0.0355755i | ||||
\(769\) | 11.9268 | − | 13.4626i | 0.430093 | − | 0.485474i | −0.493012 | − | 0.870022i | \(-0.664104\pi\) |
0.923105 | + | 0.384548i | \(0.125643\pi\) | |||||||
\(770\) | 0.490127 | + | 1.29236i | 0.0176630 | + | 0.0465734i | ||||
\(771\) | −0.198615 | + | 1.63574i | −0.00715293 | + | 0.0589097i | ||||
\(772\) | −20.6884 | + | 7.84607i | −0.744592 | + | 0.282386i | ||||
\(773\) | −26.8987 | + | 3.26610i | −0.967480 | + | 0.117473i | −0.588997 | − | 0.808135i | \(-0.700477\pi\) |
−0.378483 | + | 0.925608i | \(0.623554\pi\) | |||||||
\(774\) | −12.0569 | + | 8.32228i | −0.433376 | + | 0.299138i | ||||
\(775\) | − | 30.9345i | − | 1.11120i | ||||||
\(776\) | −3.63352 | − | 5.26406i | −0.130436 | − | 0.188969i | ||||
\(777\) | 0.230235 | + | 0.0567479i | 0.00825965 | + | 0.00203582i | ||||
\(778\) | −30.9469 | − | 34.9318i | −1.10950 | − | 1.25237i | ||||
\(779\) | 26.1479 | + | 37.8818i | 0.936847 | + | 1.35726i | ||||
\(780\) | 0.104646 | − | 0.186571i | 0.00374693 | − | 0.00668031i | ||||
\(781\) | −2.57150 | + | 3.72546i | −0.0920154 | + | 0.133307i | ||||
\(782\) | −33.0727 | + | 4.01575i | −1.18268 | + | 0.143603i | ||||
\(783\) | 0.200953 | − | 1.65500i | 0.00718148 | − | 0.0591448i | ||||
\(784\) | −30.1100 | − | 15.8029i | −1.07536 | − | 0.564390i | ||||
\(785\) | 0.969852 | − | 3.93484i | 0.0346155 | − | 0.140441i | ||||
\(786\) | 1.82812 | + | 0.221974i | 0.0652070 | + | 0.00791757i | ||||
\(787\) | −27.0139 | + | 30.4924i | −0.962941 | + | 1.08694i | 0.0332248 | + | 0.999448i | \(0.489422\pi\) |
−0.996166 | + | 0.0874876i | \(0.972116\pi\) | |||||||
\(788\) | 18.4487 | − | 12.7342i | 0.657208 | − | 0.453638i | ||||
\(789\) | −0.369857 | + | 0.535830i | −0.0131672 | + | 0.0190760i | ||||
\(790\) | −2.24059 | + | 0.552255i | −0.0797165 | + | 0.0196483i | ||||
\(791\) | 3.91103 | + | 0.474885i | 0.139060 | + | 0.0168850i | ||||
\(792\) | 12.5542 | − | 6.58893i | 0.446092 | − | 0.234127i | ||||
\(793\) | 14.1781 | + | 13.2833i | 0.503478 | + | 0.471704i | ||||
\(794\) | −39.4830 | − | 20.7223i | −1.40120 | − | 0.735407i | ||||
\(795\) | −0.247794 | − | 0.171040i | −0.00878834 | − | 0.00606615i | ||||
\(796\) | 15.5661 | − | 22.5514i | 0.551727 | − | 0.799315i | ||||
\(797\) | −7.05452 | + | 6.24976i | −0.249884 | + | 0.221378i | −0.778761 | − | 0.627321i | \(-0.784152\pi\) |
0.528877 | + | 0.848698i | \(0.322613\pi\) | |||||||
\(798\) | 0.131990 | + | 0.148985i | 0.00467238 | + | 0.00527403i | ||||
\(799\) | 37.0487 | + | 14.0507i | 1.31069 | + | 0.497079i | ||||
\(800\) | 13.1958 | − | 25.1424i | 0.466541 | − | 0.888919i | ||||
\(801\) | 10.2321 | + | 3.88054i | 0.361535 | + | 0.137112i | ||||
\(802\) | 11.5196 | + | 2.83932i | 0.406770 | + | 0.100260i | ||||
\(803\) | −13.8893 | + | 12.3048i | −0.490141 | + | 0.434227i | ||||
\(804\) | 0.870478 | − | 0.600847i | 0.0306994 | − | 0.0211903i | ||||
\(805\) | −0.290305 | − | 0.765471i | −0.0102319 | − | 0.0269793i | ||||
\(806\) | −16.7731 | + | 40.7661i | −0.590808 | + | 1.43593i | ||||
\(807\) | −0.291887 | + | 0.769643i | −0.0102749 | + | 0.0270927i | ||||
\(808\) | 3.08190 | + | 12.5037i | 0.108421 | + | 0.439880i | ||||
\(809\) | 5.49578 | − | 2.88441i | 0.193221 | − | 0.101410i | −0.365338 | − | 0.930875i | \(-0.619047\pi\) |
0.558559 | + | 0.829465i | \(0.311354\pi\) | |||||||
\(810\) | 3.77588 | + | 9.95617i | 0.132671 | + | 0.349824i | ||||
\(811\) | 5.77560 | − | 0.701285i | 0.202809 | − | 0.0246255i | −0.0185017 | − | 0.999829i | \(-0.505890\pi\) |
0.221311 | + | 0.975203i | \(0.428967\pi\) | |||||||
\(812\) | −1.32191 | − | 0.912446i | −0.0463898 | − | 0.0320206i | ||||
\(813\) | −0.377489 | + | 1.53153i | −0.0132391 | + | 0.0537132i | ||||
\(814\) | −15.2901 | − | 62.0344i | −0.535918 | − | 2.17430i | ||||
\(815\) | 1.21757 | + | 10.0276i | 0.0426496 | + | 0.351251i | ||||
\(816\) | 0.614255 | − | 1.61966i | 0.0215032 | − | 0.0566993i | ||||
\(817\) | 3.02991 | − | 12.2928i | 0.106003 | − | 0.430071i | ||||
\(818\) | −12.5659 | + | 3.09721i | −0.439356 | + | 0.108292i | ||||
\(819\) | 3.51931 | + | 0.527122i | 0.122975 | + | 0.0184191i | ||||
\(820\) | −7.92192 | − | 1.95258i | −0.276646 | − | 0.0681870i | ||||
\(821\) | 10.7647 | − | 20.5104i | 0.375691 | − | 0.715819i | −0.622052 | − | 0.782976i | \(-0.713701\pi\) |
0.997742 | + | 0.0671575i | \(0.0213930\pi\) | |||||||
\(822\) | 0.171173 | 0.00597035 | ||||||||
\(823\) | 6.98052 | 0.243326 | 0.121663 | − | 0.992571i | \(-0.461177\pi\) | ||||
0.121663 | + | 0.992571i | \(0.461177\pi\) | |||||||
\(824\) | −11.2877 | + | 21.5070i | −0.393227 | + | 0.749231i | ||||
\(825\) | −0.765245 | − | 0.863783i | −0.0266424 | − | 0.0300731i | ||||
\(826\) | 2.83148i | 0.0985197i | ||||||||
\(827\) | 34.8528 | − | 39.3407i | 1.21195 | − | 1.36801i | 0.301991 | − | 0.953311i | \(-0.402349\pi\) |
0.909959 | − | 0.414698i | \(-0.136113\pi\) | |||||||
\(828\) | 12.5553 | − | 6.58953i | 0.436327 | − | 0.229002i | ||||
\(829\) | −4.30613 | − | 35.4642i | −0.149558 | − | 1.23172i | −0.853359 | − | 0.521324i | \(-0.825438\pi\) |
0.703801 | − | 0.710397i | \(-0.251485\pi\) | |||||||
\(830\) | −1.43145 | − | 2.72740i | −0.0496864 | − | 0.0946696i | ||||
\(831\) | −0.257215 | − | 2.11835i | −0.00892268 | − | 0.0734849i | ||||
\(832\) | −3.74160 | + | 3.13325i | −0.129717 | + | 0.108626i | ||||
\(833\) | 4.06876 | − | 33.5092i | 0.140974 | − | 1.16103i | ||||
\(834\) | 1.23697 | − | 0.469119i | 0.0428326 | − | 0.0162443i | ||||
\(835\) | −7.24002 | − | 3.79986i | −0.250551 | − | 0.131499i | ||||
\(836\) | 7.33624 | − | 19.3441i | 0.253729 | − | 0.669029i | ||||
\(837\) | 1.35284 | + | 2.57762i | 0.0467610 | + | 0.0890957i | ||||
\(838\) | 0.669449 | + | 1.27553i | 0.0231257 | + | 0.0440624i | ||||
\(839\) | 11.3349 | + | 45.9875i | 0.391324 | + | 1.58766i | 0.754732 | + | 0.656033i | \(0.227767\pi\) |
−0.363408 | + | 0.931630i | \(0.618387\pi\) | |||||||
\(840\) | 0.0207430 | + | 0.00251865i | 0.000715700 | + | 8.69017e-5i | ||||
\(841\) | 10.4368 | + | 9.24616i | 0.359888 | + | 0.318833i | ||||
\(842\) | 7.89704 | + | 11.4408i | 0.272150 | + | 0.394277i | ||||
\(843\) | 1.85810 | + | 0.704685i | 0.0639964 | + | 0.0242706i | ||||
\(844\) | 14.8486 | 0.511111 | ||||||||
\(845\) | 6.76921 | + | 5.25189i | 0.232868 | + | 0.180671i | ||||
\(846\) | −43.7163 | −1.50300 | ||||||||
\(847\) | −0.443035 | − | 0.168021i | −0.0152229 | − | 0.00577328i | ||||
\(848\) | 17.8683 | + | 25.8867i | 0.613599 | + | 0.888952i | ||||
\(849\) | −0.942301 | − | 0.834805i | −0.0323397 | − | 0.0286504i | ||||
\(850\) | 40.0597 | + | 4.86413i | 1.37404 | + | 0.166838i | ||||
\(851\) | 9.05641 | + | 36.7433i | 0.310450 | + | 1.25954i | ||||
\(852\) | −0.0536985 | − | 0.102314i | −0.00183968 | − | 0.00350522i | ||||
\(853\) | 6.31116 | + | 12.0249i | 0.216090 | + | 0.411725i | 0.969238 | − | 0.246126i | \(-0.0791578\pi\) |
−0.753148 | + | 0.657851i | \(0.771465\pi\) | |||||||
\(854\) | 1.13628 | − | 2.99612i | 0.0388827 | − | 0.102525i | ||||
\(855\) | −8.16209 | − | 4.28379i | −0.279137 | − | 0.146503i | ||||
\(856\) | 3.76759 | − | 1.42886i | 0.128774 | − | 0.0488374i | ||||
\(857\) | 0.272324 | − | 2.24279i | 0.00930241 | − | 0.0766122i | −0.987318 | − | 0.158753i | \(-0.949253\pi\) |
0.996621 | + | 0.0821408i | \(0.0261757\pi\) | |||||||
\(858\) | 0.540100 | + | 1.55323i | 0.0184387 | + | 0.0530266i | ||||
\(859\) | −4.68855 | − | 38.6137i | −0.159971 | − | 1.31748i | −0.822637 | − | 0.568567i | \(-0.807498\pi\) |
0.662666 | − | 0.748915i | \(-0.269425\pi\) | |||||||
\(860\) | 1.04292 | + | 1.98712i | 0.0355632 | + | 0.0677601i | ||||
\(861\) | 0.0280594 | + | 0.231090i | 0.000956263 | + | 0.00787553i | ||||
\(862\) | 37.4911 | − | 19.6768i | 1.27695 | − | 0.670196i | ||||
\(863\) | −25.2355 | + | 28.4850i | −0.859026 | + | 0.969640i | −0.999792 | − | 0.0204030i | \(-0.993505\pi\) |
0.140766 | + | 0.990043i | \(0.455044\pi\) | |||||||
\(864\) | 2.67208i | 0.0909059i | ||||||||
\(865\) | −7.14379 | − | 8.06367i | −0.242896 | − | 0.274173i | ||||
\(866\) | −29.7059 | + | 56.6000i | −1.00945 | + | 1.92334i | ||||
\(867\) | 0.501128 | 0.0170192 | ||||||||
\(868\) | 2.80470 | 0.0951976 | ||||||||
\(869\) | 3.18030 | − | 6.05956i | 0.107884 | − | 0.205556i | ||||
\(870\) | −0.321111 | − | 0.0791468i | −0.0108867 | − | 0.00268333i | ||||
\(871\) | 18.6351 | + | 38.0442i | 0.631428 | + | 1.28908i | ||||
\(872\) | 11.0403 | − | 2.72119i | 0.373872 | − | 0.0921511i | ||||
\(873\) | −3.41512 | + | 13.8557i | −0.115584 | + | 0.468944i | ||||
\(874\) | −11.2641 | + | 29.7010i | −0.381014 | + | 1.00465i | ||||
\(875\) | 0.250426 | + | 2.06244i | 0.00846593 | + | 0.0697232i | ||||
\(876\) | −0.113353 | − | 0.459889i | −0.00382983 | − | 0.0155382i | ||||
\(877\) | −5.49845 | + | 22.3081i | −0.185669 | + | 0.753290i | 0.802077 | + | 0.597221i | \(0.203728\pi\) |
−0.987746 | + | 0.156069i | \(0.950118\pi\) | |||||||
\(878\) | −23.3026 | − | 16.0846i | −0.786424 | − | 0.542830i | ||||
\(879\) | −0.749375 | + | 0.0909906i | −0.0252758 | + | 0.00306904i | ||||
\(880\) | −4.06697 | − | 10.7237i | −0.137097 | − | 0.361496i | ||||
\(881\) | −6.25618 | + | 3.28349i | −0.210776 | + | 0.110624i | −0.566808 | − | 0.823850i | \(-0.691822\pi\) |
0.356032 | + | 0.934474i | \(0.384129\pi\) | |||||||
\(882\) | 8.91257 | + | 36.1597i | 0.300102 | + | 1.21756i | ||||
\(883\) | 10.6329 | − | 28.0367i | 0.357826 | − | 0.943509i | −0.628369 | − | 0.777916i | \(-0.716277\pi\) |
0.986194 | − | 0.165593i | \(-0.0529538\pi\) | |||||||
\(884\) | −19.3477 | − | 10.8519i | −0.650733 | − | 0.364990i | ||||
\(885\) | 0.0797505 | + | 0.210285i | 0.00268078 | + | 0.00706865i | ||||
\(886\) | −9.42152 | + | 6.50321i | −0.316522 | + | 0.218480i | ||||
\(887\) | −9.50203 | + | 8.41806i | −0.319047 | + | 0.282651i | −0.807411 | − | 0.589989i | \(-0.799132\pi\) |
0.488365 | + | 0.872640i | \(0.337594\pi\) | |||||||
\(888\) | −0.937815 | − | 0.231151i | −0.0314710 | − | 0.00775691i | ||||
\(889\) | 3.50242 | + | 1.32829i | 0.117468 | + | 0.0445496i | ||||
\(890\) | 2.01944 | − | 3.84772i | 0.0676917 | − | 0.128976i | ||||
\(891\) | −29.5255 | − | 11.1976i | −0.989143 | − | 0.375132i | ||||
\(892\) | 13.4870 | + | 15.2237i | 0.451578 | + | 0.509726i | ||||
\(893\) | 28.2784 | − | 25.0525i | 0.946302 | − | 0.838350i | ||||
\(894\) | 0.00518842 | − | 0.00751672i | 0.000173527 | − | 0.000251397i | ||||
\(895\) | 5.76885 | + | 3.98195i | 0.192831 | + | 0.133102i | ||||
\(896\) | −2.91691 | − | 1.53091i | −0.0974471 | − | 0.0511442i | ||||
\(897\) | −0.319904 | − | 0.919989i | −0.0106813 | − | 0.0307175i | ||||
\(898\) | −57.6463 | + | 30.2551i | −1.92368 | + | 1.00963i | ||||
\(899\) | 26.0992 | + | 3.16901i | 0.870456 | + | 0.105693i | ||||
\(900\) | −16.6760 | + | 4.11026i | −0.555867 | + | 0.137009i | ||||
\(901\) | −17.7371 | + | 25.6966i | −0.590908 | + | 0.856077i | ||||
\(902\) | 51.6192 | − | 35.6302i | 1.71873 | − | 1.18635i | ||||
\(903\) | 0.0424592 | − | 0.0479266i | 0.00141295 | − | 0.00159490i | ||||
\(904\) | −15.9308 | − | 1.93435i | −0.529849 | − | 0.0643354i | ||||
\(905\) | −1.03248 | + | 4.18893i | −0.0343208 | + | 0.139245i | ||||
\(906\) | −1.81671 | − | 0.953481i | −0.0603560 | − | 0.0316773i | ||||
\(907\) | −2.12615 | + | 17.5104i | −0.0705975 | + | 0.581423i | 0.913889 | + | 0.405964i | \(0.133064\pi\) |
−0.984487 | + | 0.175459i | \(0.943859\pi\) | |||||||
\(908\) | 7.03296 | − | 0.853956i | 0.233397 | − | 0.0283395i | ||||
\(909\) | 16.3211 | − | 23.6452i | 0.541337 | − | 0.784262i | ||||
\(910\) | 0.376237 | − | 1.36206i | 0.0124721 | − | 0.0451520i | ||||
\(911\) | 6.34934 | + | 9.19860i | 0.210363 | + | 0.304763i | 0.913935 | − | 0.405861i | \(-0.133028\pi\) |
−0.703572 | + | 0.710624i | \(0.748413\pi\) | |||||||
\(912\) | −1.09522 | − | 1.23625i | −0.0362664 | − | 0.0409363i | ||||
\(913\) | 8.86913 | + | 2.18605i | 0.293526 | + | 0.0723475i | ||||
\(914\) | −12.0466 | − | 17.4525i | −0.398466 | − | 0.577278i | ||||
\(915\) | − | 0.254517i | − | 0.00841406i | ||||||
\(916\) | −8.67198 | + | 5.98584i | −0.286530 | + | 0.197778i | ||||
\(917\) | 4.65857 | − | 0.565652i | 0.153839 | − | 0.0186795i | ||||
\(918\) | −3.55070 | + | 1.34660i | −0.117191 | + | 0.0444445i | ||||
\(919\) | 3.27508 | − | 26.9727i | 0.108035 | − | 0.889746i | −0.833428 | − | 0.552629i | \(-0.813625\pi\) |
0.941462 | − | 0.337118i | \(-0.109452\pi\) | |||||||
\(920\) | 1.18250 | + | 3.11798i | 0.0389857 | + | 0.102797i | ||||
\(921\) | 1.39252 | − | 1.57183i | 0.0458852 | − | 0.0517937i | ||||
\(922\) | 2.04087 | + | 1.80805i | 0.0672125 | + | 0.0595451i | ||||
\(923\) | 4.37122 | − | 1.51998i | 0.143880 | − | 0.0500309i | ||||
\(924\) | 0.0783154 | − | 0.0693814i | 0.00257639 | − | 0.00228248i | ||||
\(925\) | − | 45.8377i | − | 1.50714i | ||||||
\(926\) | 5.92065 | + | 5.24524i | 0.194565 | + | 0.172369i | ||||
\(927\) | 52.6152 | − | 12.9685i | 1.72811 | − | 0.425941i | ||||
\(928\) | 19.8606 | + | 13.7088i | 0.651956 | + | 0.450013i | ||||
\(929\) | −6.71654 | + | 2.54725i | −0.220362 | + | 0.0835725i | −0.462315 | − | 0.886716i | \(-0.652981\pi\) |
0.241953 | + | 0.970288i | \(0.422212\pi\) | |||||||
\(930\) | 0.539956 | − | 0.204778i | 0.0177058 | − | 0.00671494i | ||||
\(931\) | −26.4873 | − | 18.2829i | −0.868086 | − | 0.599196i | ||||
\(932\) | 8.89180 | − | 2.19163i | 0.291260 | − | 0.0717893i | ||||
\(933\) | −0.471543 | − | 0.417751i | −0.0154376 | − | 0.0136765i | ||||
\(934\) | 30.8190i | 1.00843i | ||||||||
\(935\) | 8.52164 | − | 7.54951i | 0.278687 | − | 0.246895i | ||||
\(936\) | −14.3352 | − | 2.14712i | −0.468560 | − | 0.0701808i | ||||
\(937\) | −5.61483 | − | 4.97430i | −0.183428 | − | 0.162503i | 0.566412 | − | 0.824122i | \(-0.308331\pi\) |
−0.749840 | + | 0.661619i | \(0.769870\pi\) | |||||||
\(938\) | 4.63323 | − | 5.22984i | 0.151280 | − | 0.170760i | ||||
\(939\) | 0.481118 | + | 1.26860i | 0.0157007 | + | 0.0413993i | ||||
\(940\) | −0.807187 | + | 6.64779i | −0.0263275 | + | 0.216827i | ||||
\(941\) | 5.92666 | − | 2.24768i | 0.193203 | − | 0.0732724i | −0.256106 | − | 0.966649i | \(-0.582439\pi\) |
0.449309 | + | 0.893376i | \(0.351670\pi\) | |||||||
\(942\) | −0.789438 | + | 0.0958551i | −0.0257213 | + | 0.00312313i | ||||
\(943\) | −30.5743 | + | 21.1039i | −0.995637 | + | 0.687238i | ||||
\(944\) | − | 23.4950i | − | 0.764696i | ||||||
\(945\) | −0.0530096 | − | 0.0767976i | −0.00172440 | − | 0.00249823i | ||||
\(946\) | −16.7507 | − | 4.12867i | −0.544611 | − | 0.134235i | ||||
\(947\) | −18.0792 | − | 20.4072i | −0.587494 | − | 0.663143i | 0.377318 | − | 0.926084i | \(-0.376846\pi\) |
−0.964812 | + | 0.262940i | \(0.915308\pi\) | |||||||
\(948\) | 0.0992319 | + | 0.143762i | 0.00322290 | + | 0.00466918i | ||||
\(949\) | 18.8886 | − | 1.76147i | 0.613151 | − | 0.0571796i | ||||
\(950\) | 21.8569 | − | 31.6651i | 0.709130 | − | 1.02735i | ||||
\(951\) | 1.56806 | − | 0.190397i | 0.0508478 | − | 0.00617404i | ||||
\(952\) | 0.261188 | − | 2.15108i | 0.00846515 | − | 0.0697168i | ||||
\(953\) | −22.2756 | − | 11.6912i | −0.721578 | − | 0.378714i | 0.0636064 | − | 0.997975i | \(-0.479740\pi\) |
−0.785185 | + | 0.619262i | \(0.787432\pi\) | |||||||
\(954\) | 8.24413 | − | 33.4477i | 0.266913 | − | 1.08291i | ||||
\(955\) | 16.3425 | + | 1.98434i | 0.528830 | + | 0.0642116i | ||||
\(956\) | −12.8245 | + | 14.4758i | −0.414773 | + | 0.468182i | ||||
\(957\) | 0.807159 | − | 0.557142i | 0.0260917 | − | 0.0180098i | ||||
\(958\) | 2.30380 | − | 3.33762i | 0.0744323 | − | 0.107834i | ||||
\(959\) | 0.423522 | − | 0.104389i | 0.0136762 | − | 0.00337089i | ||||
\(960\) | 0.0634662 | + | 0.00770620i | 0.00204836 | + | 0.000248716i | ||||
\(961\) | −13.1997 | + | 6.92776i | −0.425798 | + | 0.223476i | ||||
\(962\) | −24.8538 | + | 60.4058i | −0.801319 | + | 1.94756i | ||||
\(963\) | −7.96007 | − | 4.17777i | −0.256510 | − | 0.134627i | ||||
\(964\) | −22.4391 | − | 15.4886i | −0.722716 | − | 0.498855i | ||||
\(965\) | −6.59485 | + | 9.55429i | −0.212296 | + | 0.307564i | ||||
\(966\) | −0.120246 | + | 0.106528i | −0.00386884 | + | 0.00342749i | ||||
\(967\) | −10.0205 | − | 11.3108i | −0.322239 | − | 0.363732i | 0.564961 | − | 0.825117i | \(-0.308891\pi\) |
−0.887200 | + | 0.461385i | \(0.847353\pi\) | |||||||
\(968\) | 1.80461 | + | 0.684399i | 0.0580024 | + | 0.0219974i | ||||
\(969\) | 0.761905 | − | 1.45169i | 0.0244759 | − | 0.0466350i | ||||
\(970\) | 5.29838 | + | 2.00941i | 0.170121 | + | 0.0645183i | ||||
\(971\) | 3.69090 | + | 0.909726i | 0.118447 | + | 0.0291945i | 0.298093 | − | 0.954537i | \(-0.403649\pi\) |
−0.179647 | + | 0.983731i | \(0.557495\pi\) | |||||||
\(972\) | 1.81518 | − | 1.60811i | 0.0582220 | − | 0.0515802i | ||||
\(973\) | 2.77445 | − | 1.91506i | 0.0889447 | − | 0.0613941i | ||||
\(974\) | 21.2564 | + | 56.0484i | 0.681098 | + | 1.79591i | ||||
\(975\) | 0.109547 | + | 1.17470i | 0.00350831 | + | 0.0376205i | ||||
\(976\) | −9.42859 | + | 24.8611i | −0.301802 | + | 0.795786i | ||||
\(977\) | −14.1727 | − | 57.5009i | −0.453425 | − | 1.83962i | −0.537647 | − | 0.843170i | \(-0.680687\pi\) |
0.0842218 | − | 0.996447i | \(-0.473160\pi\) | |||||||
\(978\) | 1.75511 | − | 0.921150i | 0.0561221 | − | 0.0294551i | ||||
\(979\) | 4.56969 | + | 12.0493i | 0.146048 | + | 0.385097i | ||||
\(980\) | 5.66325 | − | 0.687643i | 0.180906 | − | 0.0219659i | ||||
\(981\) | −20.8778 | − | 14.4109i | −0.666576 | − | 0.460104i | ||||
\(982\) | −15.7233 | + | 63.7918i | −0.501749 | + | 2.03568i | ||||
\(983\) | −4.77252 | − | 19.3629i | −0.152220 | − | 0.617579i | −0.996641 | − | 0.0818992i | \(-0.973901\pi\) |
0.844421 | − | 0.535680i | \(-0.179945\pi\) | |||||||
\(984\) | −0.114294 | − | 0.941297i | −0.00364356 | − | 0.0300075i | ||||
\(985\) | 4.17080 | − | 10.9975i | 0.132893 | − | 0.350409i | ||||
\(986\) | −8.20764 | + | 33.2997i | −0.261385 | + | 1.06048i | ||||
\(987\) | 0.185511 | − | 0.0457244i | 0.00590489 | − | 0.00145543i | ||||
\(988\) | −17.7346 | + | 11.5258i | −0.564214 | + | 0.366685i | ||||
\(989\) | 9.92150 | + | 2.44543i | 0.315485 | + | 0.0777602i | ||||
\(990\) | −5.83726 | + | 11.1220i | −0.185520 | + | 0.353479i | ||||
\(991\) | 48.5026 | 1.54074 | 0.770368 | − | 0.637599i | \(-0.220072\pi\) | ||||
0.770368 | + | 0.637599i | \(0.220072\pi\) | |||||||
\(992\) | −42.1384 | −1.33790 | ||||||||
\(993\) | 0.719690 | − | 1.37125i | 0.0228387 | − | 0.0435154i | ||||
\(994\) | −0.506157 | − | 0.571333i | −0.0160543 | − | 0.0181216i | ||||
\(995\) | − | 14.3775i | − | 0.455796i | ||||||
\(996\) | −0.154618 | + | 0.174528i | −0.00489927 | + | 0.00553014i | ||||
\(997\) | −11.4813 | + | 6.02585i | −0.363616 | + | 0.190841i | −0.636630 | − | 0.771170i | \(-0.719672\pi\) |
0.273013 | + | 0.962010i | \(0.411980\pi\) | |||||||
\(998\) | 3.25374 | + | 26.7969i | 0.102995 | + | 0.848242i | ||||
\(999\) | 2.00459 | + | 3.81943i | 0.0634225 | + | 0.120841i |
(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 | 169.2.h.a.25.3 | ✓ | 168 | |
169.142 | even | 26 | inner | 169.2.h.a.142.3 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.h.a.25.3 | ✓ | 168 | 1.1 | even | 1 | trivial | |
169.2.h.a.142.3 | yes | 168 | 169.142 | even | 26 | inner |