Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(665,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.665");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 12x^{14} + 97x^{12} - 444x^{10} + 1488x^{8} - 2796x^{6} + 3553x^{4} - 60x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 665.7 | ||
Root | \(1.78558 + 1.03090i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 927.665 |
Dual form | 927.2.o.a.881.7 |
$q$-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 \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78558 | + | 1.03090i | 1.26260 | + | 0.728960i | 0.973576 | − | 0.228363i | \(-0.0733374\pi\) |
0.289020 | + | 0.957323i | \(0.406671\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.12553 | + | 1.94948i | 0.562765 | + | 0.974738i | ||||
\(5\) | −1.67303 | − | 2.89778i | −0.748203 | − | 1.29593i | −0.948683 | − | 0.316228i | \(-0.897584\pi\) |
0.200480 | − | 0.979698i | \(-0.435750\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.774131 | + | 1.34083i | 0.292594 | + | 0.506788i | 0.974422 | − | 0.224725i | \(-0.0721482\pi\) |
−0.681828 | + | 0.731512i | \(0.738815\pi\) | |||||||
\(8\) | 0.517638i | 0.183013i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 6.89895i | − | 2.18164i | ||||||
\(11\) | −3.20526 | − | 5.55168i | −0.966423 | − | 1.67389i | −0.705743 | − | 0.708468i | \(-0.749387\pi\) |
−0.260680 | − | 0.965425i | \(-0.583947\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.81621 | 0.503726 | 0.251863 | − | 0.967763i | \(-0.418957\pi\) | ||||
0.251863 | + | 0.967763i | \(0.418957\pi\) | |||||||
\(14\) | 3.19222i | 0.853157i | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.71742 | − | 2.97467i | 0.429356 | − | 0.743667i | ||||
\(17\) | 2.81539 | − | 1.62546i | 0.682832 | − | 0.394233i | −0.118089 | − | 0.993003i | \(-0.537677\pi\) |
0.800921 | + | 0.598770i | \(0.204344\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0420802 | + | 0.0728851i | −0.00965387 | + | 0.0167210i | −0.870812 | − | 0.491616i | \(-0.836406\pi\) |
0.861158 | + | 0.508337i | \(0.169740\pi\) | |||||||
\(20\) | 3.76610 | − | 6.52307i | 0.842125 | − | 1.45860i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 13.2173i | − | 2.81793i | ||||||
\(23\) | − | 0.119021i | − | 0.0248176i | −0.999923 | − | 0.0124088i | \(-0.996050\pi\) | ||
0.999923 | − | 0.0124088i | \(-0.00394994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.09808 | + | 5.36603i | −0.619615 | + | 1.07321i | ||||
\(26\) | 3.24299 | + | 1.87234i | 0.636003 | + | 0.367196i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.74262 | + | 3.01830i | −0.329323 | + | 0.570405i | ||||
\(29\) | 0.858847 | + | 0.495856i | 0.159484 | + | 0.0920781i | 0.577618 | − | 0.816307i | \(-0.303982\pi\) |
−0.418134 | + | 0.908385i | \(0.637316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.46410i | − | 0.622171i | −0.950382 | − | 0.311086i | \(-0.899307\pi\) | ||
0.950382 | − | 0.311086i | \(-0.100693\pi\) | |||||||
\(32\) | 7.02977 | − | 4.05864i | 1.24270 | − | 0.717473i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.70280 | 1.14952 | ||||||||
\(35\) | 2.59029 | − | 4.48652i | 0.437839 | − | 0.758360i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.79790i | 1.28197i | 0.767555 | + | 0.640983i | \(0.221473\pi\) | ||||
−0.767555 | + | 0.640983i | \(0.778527\pi\) | |||||||
\(38\) | −0.150275 | + | 0.0867615i | −0.0243779 | + | 0.0140746i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.50000 | − | 0.866025i | 0.237171 | − | 0.136931i | ||||
\(41\) | 3.00085 | + | 1.73254i | 0.468654 | + | 0.270578i | 0.715676 | − | 0.698432i | \(-0.246119\pi\) |
−0.247022 | + | 0.969010i | \(0.579452\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.72502 | − | 4.46004i | −1.17805 | − | 0.680150i | −0.222490 | − | 0.974935i | \(-0.571419\pi\) |
−0.955564 | + | 0.294785i | \(0.904752\pi\) | |||||||
\(44\) | 7.21524 | − | 12.4972i | 1.08774 | − | 1.88402i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.122699 | − | 0.212521i | 0.0180910 | − | 0.0313346i | ||||
\(47\) | 0.755772 | + | 1.30904i | 0.110241 | + | 0.190943i | 0.915867 | − | 0.401481i | \(-0.131504\pi\) |
−0.805627 | + | 0.592424i | \(0.798171\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.30144 | − | 3.98621i | 0.328777 | − | 0.569459i | ||||
\(50\) | −11.0637 | + | 6.38764i | −1.56465 | + | 0.903349i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.04420 | + | 3.54066i | 0.283480 | + | 0.491001i | ||||
\(53\) | 2.30869 | + | 3.99876i | 0.317122 | + | 0.549272i | 0.979886 | − | 0.199556i | \(-0.0639500\pi\) |
−0.662764 | + | 0.748828i | \(0.730617\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.7250 | + | 18.5763i | −1.44616 | + | 2.50482i | ||||
\(56\) | −0.694067 | + | 0.400720i | −0.0927486 | + | 0.0535484i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.02236 | + | 1.77078i | 0.134242 | + | 0.232515i | ||||
\(59\) | 5.63407 | + | 3.25283i | 0.733493 | + | 0.423482i | 0.819699 | − | 0.572795i | \(-0.194141\pi\) |
−0.0862057 | + | 0.996277i | \(0.527474\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.54826 | −0.582345 | −0.291173 | − | 0.956671i | \(-0.594045\pi\) | ||||
−0.291173 | + | 0.956671i | \(0.594045\pi\) | |||||||
\(62\) | 3.57116 | − | 6.18543i | 0.453538 | − | 0.785550i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 9.86659 | 1.23332 | ||||||||
\(65\) | −3.03858 | − | 5.26298i | −0.376890 | − | 0.652792i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.948634 | − | 0.547694i | 0.115894 | − | 0.0669115i | −0.440932 | − | 0.897540i | \(-0.645352\pi\) |
0.556826 | + | 0.830629i | \(0.312019\pi\) | |||||||
\(68\) | 6.33761 | + | 3.65902i | 0.768548 | + | 0.443721i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.25035 | − | 5.34069i | 1.10563 | − | 0.638335i | ||||
\(71\) | 2.89778 | + | 5.01910i | 0.343903 | + | 0.595657i | 0.985154 | − | 0.171674i | \(-0.0549176\pi\) |
−0.641251 | + | 0.767331i | \(0.721584\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.49902i | 0.526570i | 0.964718 | + | 0.263285i | \(0.0848060\pi\) | ||||
−0.964718 | + | 0.263285i | \(0.915194\pi\) | |||||||
\(74\) | −8.03889 | + | 13.9238i | −0.934502 | + | 1.61861i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.189450 | −0.0217314 | ||||||||
\(77\) | 4.96259 | − | 8.59545i | 0.565539 | − | 0.979542i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 15.2958 | 1.72091 | 0.860455 | − | 0.509527i | \(-0.170179\pi\) | ||||
0.860455 | + | 0.509527i | \(0.170179\pi\) | |||||||
\(80\) | −11.4932 | −1.28498 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.57217 | + | 6.18719i | 0.394481 | + | 0.683261i | ||||
\(83\) | −14.8770 | − | 8.58925i | −1.63297 | − | 0.942793i | −0.983172 | − | 0.182682i | \(-0.941522\pi\) |
−0.649793 | − | 0.760111i | \(-0.725144\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.42047 | − | 5.43891i | −1.02179 | − | 0.589933i | ||||
\(86\) | −9.19575 | − | 15.9275i | −0.991604 | − | 1.71751i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.87376 | − | 1.65917i | 0.306344 | − | 0.176868i | ||||
\(89\) | −11.5911 | −1.22866 | −0.614328 | − | 0.789051i | \(-0.710573\pi\) | ||||
−0.614328 | + | 0.789051i | \(0.710573\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.40599 | + | 2.43524i | 0.147387 | + | 0.255282i | ||||
\(92\) | 0.232028 | − | 0.133962i | 0.0241906 | − | 0.0139665i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.11652i | 0.321444i | ||||||||
\(95\) | 0.281606 | 0.0288922 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.299322 | − | 0.518441i | 0.0303916 | − | 0.0526397i | −0.850430 | − | 0.526089i | \(-0.823658\pi\) |
0.880821 | + | 0.473449i | \(0.156991\pi\) | |||||||
\(98\) | 8.21882 | − | 4.74514i | 0.830226 | − | 0.479331i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −13.9479 | −1.39479 | ||||||||
\(101\) | −6.53064 | + | 11.3114i | −0.649823 | + | 1.12553i | 0.333342 | + | 0.942806i | \(0.391824\pi\) |
−0.983165 | + | 0.182721i | \(0.941510\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.0000 | + | 1.73205i | 0.985329 | + | 0.170664i | ||||
\(104\) | 0.940140i | 0.0921883i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.52015i | 0.924678i | ||||||||
\(107\) | 15.4372 | − | 8.91268i | 1.49237 | − | 0.861622i | 0.492410 | − | 0.870363i | \(-0.336116\pi\) |
0.999962 | + | 0.00874155i | \(0.00278256\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.87376 | + | 3.39122i | 0.562604 | + | 0.324820i | 0.754190 | − | 0.656656i | \(-0.228030\pi\) |
−0.191586 | + | 0.981476i | \(0.561363\pi\) | |||||||
\(110\) | −38.3007 | + | 22.1129i | −3.65183 | + | 2.10839i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.31805 | 0.502508 | ||||||||
\(113\) | −10.8217 | −1.01802 | −0.509012 | − | 0.860759i | \(-0.669989\pi\) | ||||
−0.509012 | + | 0.860759i | \(0.669989\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.344896 | + | 0.199126i | −0.0321617 | + | 0.0185686i | ||||
\(116\) | 2.23240i | 0.207273i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.70672 | + | 11.6164i | 0.617403 | + | 1.06937i | ||||
\(119\) | 4.35896 | + | 2.51665i | 0.399585 | + | 0.230700i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.0474 | + | 26.0629i | −1.36795 | + | 2.36935i | ||||
\(122\) | −8.12128 | − | 4.68883i | −0.735267 | − | 0.424506i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.75318 | − | 3.89895i | 0.606453 | − | 0.350136i | ||||
\(125\) | 4.00240 | 0.357986 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 4.73205i | − | 0.419902i | −0.977712 | − | 0.209951i | \(-0.932670\pi\) | ||
0.977712 | − | 0.209951i | \(-0.0673304\pi\) | |||||||
\(128\) | 3.55805 | + | 2.05424i | 0.314490 | + | 0.181571i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | − | 12.5300i | − | 1.09895i | ||||||
\(131\) | 9.36481 | + | 5.40678i | 0.818208 | + | 0.472392i | 0.849798 | − | 0.527109i | \(-0.176724\pi\) |
−0.0315904 | + | 0.999501i | \(0.510057\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.130302 | −0.0112987 | ||||||||
\(134\) | 2.25848 | 0.195103 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.841402 | + | 1.45735i | 0.0721497 | + | 0.124967i | ||||
\(137\) | 13.9216i | 1.18940i | 0.803947 | + | 0.594700i | \(0.202729\pi\) | ||||
−0.803947 | + | 0.594700i | \(0.797271\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.82309 | + | 13.5500i | 0.663546 | + | 1.14930i | 0.979677 | + | 0.200580i | \(0.0642826\pi\) |
−0.316131 | + | 0.948715i | \(0.602384\pi\) | |||||||
\(140\) | 11.6618 | 0.985603 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.9493i | 1.00277i | ||||||||
\(143\) | −5.82143 | − | 10.0830i | −0.486813 | − | 0.843184i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 3.31833i | − | 0.275572i | ||||||
\(146\) | −4.63806 | + | 8.03335i | −0.383848 | + | 0.664845i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −15.2018 | + | 8.77677i | −1.24958 | + | 0.721446i | ||||
\(149\) | 15.2672 | + | 8.81455i | 1.25074 | + | 0.722116i | 0.971257 | − | 0.238034i | \(-0.0765030\pi\) |
0.279485 | + | 0.960150i | \(0.409836\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.2949 | + | 9.98523i | 1.40744 | + | 0.812587i | 0.995141 | − | 0.0984614i | \(-0.0313921\pi\) |
0.412300 | + | 0.911048i | \(0.364725\pi\) | |||||||
\(152\) | −0.0377281 | − | 0.0217823i | −0.00306015 | − | 0.00176678i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 17.7222 | − | 10.2319i | 1.42809 | − | 0.824511i | ||||
\(155\) | −10.0382 | + | 5.79555i | −0.806287 | + | 0.465510i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.2661 | − | 7.65917i | −1.05875 | − | 0.611268i | −0.133662 | − | 0.991027i | \(-0.542674\pi\) |
−0.925085 | + | 0.379759i | \(0.876007\pi\) | |||||||
\(158\) | 27.3118 | + | 15.7685i | 2.17281 | + | 1.25447i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −23.5221 | − | 13.5805i | −1.85958 | − | 1.07363i | ||||
\(161\) | 0.159587 | − | 0.0921378i | 0.0125772 | − | 0.00726147i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.97028 | − | 10.3408i | 0.467629 | − | 0.809957i | −0.531687 | − | 0.846941i | \(-0.678442\pi\) |
0.999316 | + | 0.0369842i | \(0.0117751\pi\) | |||||||
\(164\) | 7.80012i | 0.609087i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −17.7094 | − | 30.6736i | −1.37452 | − | 2.38073i | ||||
\(167\) | 1.69962i | 0.131521i | 0.997835 | + | 0.0657603i | \(0.0209473\pi\) | ||||
−0.997835 | + | 0.0657603i | \(0.979053\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.70138 | −0.746260 | ||||||||
\(170\) | −11.2140 | − | 19.4232i | −0.860075 | − | 1.48969i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | − | 20.0796i | − | 1.53106i | ||||||
\(173\) | −8.95945 | − | 15.5182i | −0.681174 | − | 1.17983i | −0.974623 | − | 0.223853i | \(-0.928136\pi\) |
0.293449 | − | 0.955975i | \(-0.405197\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.59327 | −0.725183 | ||||||||
\(176\) | −22.0192 | −1.65976 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −20.6969 | − | 11.9493i | −1.55129 | − | 0.895640i | ||||
\(179\) | − | 7.27882i | − | 0.544045i | −0.962291 | − | 0.272022i | \(-0.912307\pi\) | ||
0.962291 | − | 0.272022i | \(-0.0876925\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.1173 | − | 10.4600i | −1.34665 | − | 0.777489i | −0.358876 | − | 0.933385i | \(-0.616840\pi\) |
−0.987773 | + | 0.155896i | \(0.950173\pi\) | |||||||
\(182\) | 5.79775i | 0.429758i | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0616097 | 0.00454193 | ||||||||
\(185\) | 22.5966 | − | 13.0461i | 1.66133 | − | 0.959171i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.0481 | − | 10.4201i | −1.31981 | − | 0.761992i | ||||
\(188\) | −1.70129 | + | 2.94672i | −0.124079 | + | 0.214912i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.502831 | + | 0.290309i | 0.0364792 | + | 0.0210613i | ||||
\(191\) | −10.1018 | − | 17.4968i | −0.730941 | − | 1.26603i | −0.956482 | − | 0.291793i | \(-0.905748\pi\) |
0.225541 | − | 0.974234i | \(-0.427585\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.0309i | 1.00997i | 0.863128 | + | 0.504984i | \(0.168502\pi\) | ||||
−0.863128 | + | 0.504984i | \(0.831498\pi\) | |||||||
\(194\) | 1.06893 | − | 0.617145i | 0.0767445 | − | 0.0443085i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.3614 | 0.740098 | ||||||||
\(197\) | 24.9416 | 1.77702 | 0.888508 | − | 0.458861i | \(-0.151743\pi\) | ||||
0.888508 | + | 0.458861i | \(0.151743\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.05137 | − | 1.18436i | 0.145417 | − | 0.0839568i | −0.425526 | − | 0.904946i | \(-0.639911\pi\) |
0.570943 | + | 0.820989i | \(0.306578\pi\) | |||||||
\(200\) | −2.77766 | − | 1.60368i | −0.196410 | − | 0.113397i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −23.3220 | + | 13.4649i | −1.64093 | + | 0.947390i | ||||
\(203\) | 1.53543i | 0.107766i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 11.5944i | − | 0.809788i | ||||||
\(206\) | 16.0702 | + | 13.4018i | 1.11967 | + | 0.933745i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.11921 | − | 5.40262i | 0.216278 | − | 0.374604i | ||||
\(209\) | 0.539513 | 0.0373189 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.2903 | − | 11.7146i | 1.39684 | − | 0.806466i | 0.402780 | − | 0.915297i | \(-0.368044\pi\) |
0.994060 | + | 0.108831i | \(0.0347108\pi\) | |||||||
\(212\) | −5.19699 | + | 9.00145i | −0.356931 | + | 0.618222i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 36.7525 | 2.51235 | ||||||||
\(215\) | 29.8472i | 2.03556i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.64479 | − | 2.68167i | 0.315309 | − | 0.182044i | ||||
\(218\) | 6.99204 | + | 12.1106i | 0.473561 | + | 0.820232i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −48.2853 | −3.25539 | ||||||||
\(221\) | 5.11334 | − | 2.95219i | 0.343960 | − | 0.198586i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.316211 | + | 0.547694i | 0.0211751 | + | 0.0366763i | 0.876419 | − | 0.481550i | \(-0.159926\pi\) |
−0.855244 | + | 0.518226i | \(0.826593\pi\) | |||||||
\(224\) | 10.8839 | + | 6.28384i | 0.727213 | + | 0.419857i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −19.3231 | − | 11.1562i | −1.28535 | − | 0.742099i | ||||
\(227\) | −6.42237 | − | 11.1239i | −0.426268 | − | 0.738318i | 0.570270 | − | 0.821457i | \(-0.306839\pi\) |
−0.996538 | + | 0.0831396i | \(0.973505\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.49617 | 0.297115 | 0.148558 | − | 0.988904i | \(-0.452537\pi\) | ||||
0.148558 | + | 0.988904i | \(0.452537\pi\) | |||||||
\(230\) | −0.821119 | −0.0541430 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.256674 | + | 0.444572i | −0.0168515 | + | 0.0291876i | ||||
\(233\) | 29.8545 | 1.95583 | 0.977915 | − | 0.209003i | \(-0.0670217\pi\) | ||||
0.977915 | + | 0.209003i | \(0.0670217\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.52886 | − | 4.38012i | 0.164965 | − | 0.285727i | ||||
\(236\) | 14.6446i | 0.953284i | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.18884 | + | 8.98734i | 0.336343 | + | 0.582563i | ||||
\(239\) | −1.28455 | + | 0.741635i | −0.0830906 | + | 0.0479724i | −0.540970 | − | 0.841042i | \(-0.681943\pi\) |
0.457879 | + | 0.889015i | \(0.348609\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 19.6005 | + | 11.3163i | 1.26258 | + | 0.728950i | 0.973573 | − | 0.228378i | \(-0.0733422\pi\) |
0.289005 | + | 0.957328i | \(0.406675\pi\) | |||||||
\(242\) | −53.7367 | + | 31.0249i | −3.45433 | + | 1.99436i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.11921 | − | 8.86672i | −0.327724 | − | 0.567634i | ||||
\(245\) | −15.4016 | −0.983969 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0764266 | + | 0.132375i | −0.00486291 | + | 0.00842280i | ||||
\(248\) | 1.79315 | 0.113865 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.14661 | + | 4.12610i | 0.451991 | + | 0.260957i | ||||
\(251\) | 11.5875 | + | 20.0701i | 0.731395 | + | 1.26681i | 0.956287 | + | 0.292429i | \(0.0944635\pi\) |
−0.224893 | + | 0.974384i | \(0.572203\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.660766 | + | 0.381493i | −0.0415420 | + | 0.0239843i | ||||
\(254\) | 4.87829 | − | 8.44945i | 0.306091 | − | 0.530166i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.63114 | − | 9.75343i | −0.351946 | − | 0.609589i | ||||
\(257\) | −9.06252 | − | 15.6967i | −0.565305 | − | 0.979136i | −0.997021 | − | 0.0771270i | \(-0.975425\pi\) |
0.431717 | − | 0.902009i | \(-0.357908\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.4557 | + | 6.03660i | −0.649685 | + | 0.375096i | ||||
\(260\) | 6.84003 | − | 11.8473i | 0.424201 | − | 0.734737i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.1477 | + | 19.3085i | 0.688710 | + | 1.19288i | ||||
\(263\) | −6.18214 | + | 10.7078i | −0.381207 | + | 0.660270i | −0.991235 | − | 0.132110i | \(-0.957825\pi\) |
0.610028 | + | 0.792380i | \(0.291158\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 7.72502 | − | 13.3801i | 0.474544 | − | 0.821934i | ||||
\(266\) | −0.232665 | − | 0.134329i | −0.0142656 | − | 0.00823627i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.13543 | + | 1.23289i | 0.130442 | + | 0.0753109i | ||||
\(269\) | −2.32557 | + | 1.34267i | −0.141792 | + | 0.0818639i | −0.569218 | − | 0.822187i | \(-0.692754\pi\) |
0.427426 | + | 0.904051i | \(0.359421\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.2820 | − | 10.5551i | 1.11056 | − | 0.641179i | 0.171582 | − | 0.985170i | \(-0.445112\pi\) |
0.938973 | + | 0.343991i | \(0.111779\pi\) | |||||||
\(272\) | − | 11.1665i | − | 0.677065i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −14.3518 | + | 24.8581i | −0.867025 | + | 1.50173i | ||||
\(275\) | 39.7206 | 2.39524 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.7539 | + | 8.51816i | −0.886475 | + | 0.511806i | −0.872788 | − | 0.488100i | \(-0.837690\pi\) |
−0.0136869 | + | 0.999906i | \(0.504357\pi\) | |||||||
\(278\) | 32.2595i | 1.93479i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.32239 | + | 1.34083i | 0.138790 | + | 0.0801302i | ||||
\(281\) | −2.02189 | + | 3.50201i | −0.120616 | + | 0.208912i | −0.920011 | − | 0.391893i | \(-0.871820\pi\) |
0.799395 | + | 0.600806i | \(0.205154\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.9476 | + | 6.89797i | 0.710213 | + | 0.410042i | 0.811140 | − | 0.584852i | \(-0.198848\pi\) |
−0.100927 | + | 0.994894i | \(0.532181\pi\) | |||||||
\(284\) | −6.52307 | + | 11.2983i | −0.387073 | + | 0.670430i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 24.0054i | − | 1.41947i | ||||||
\(287\) | 5.36486i | 0.316678i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.21573 | + | 5.56981i | −0.189161 | + | 0.327636i | ||||
\(290\) | 3.42088 | − | 5.92515i | 0.200881 | − | 0.347937i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.77072 | + | 5.06378i | −0.513268 | + | 0.296335i | ||||
\(293\) | 12.3111 | − | 21.3234i | 0.719220 | − | 1.24572i | −0.242090 | − | 0.970254i | \(-0.577833\pi\) |
0.961309 | − | 0.275471i | \(-0.0888338\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 21.7684i | − | 1.26740i | ||||||
\(296\) | −4.03649 | −0.234616 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 18.1739 | + | 31.4782i | 1.05279 | + | 1.82348i | ||||
\(299\) | − | 0.216167i | − | 0.0125013i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 13.8106i | − | 0.796031i | ||||||
\(302\) | 20.5876 | + | 35.6589i | 1.18469 | + | 2.05194i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.144539 | + | 0.250349i | 0.00828990 | + | 0.0143585i | ||||
\(305\) | 7.60939 | + | 13.1799i | 0.435712 | + | 0.754676i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.9950 | − | 9.23474i | −0.912885 | − | 0.527054i | −0.0315267 | − | 0.999503i | \(-0.510037\pi\) |
−0.881358 | + | 0.472449i | \(0.843370\pi\) | |||||||
\(308\) | 22.3422 | 1.27306 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −23.8987 | −1.35735 | ||||||||
\(311\) | 1.64161 | + | 0.947785i | 0.0930873 | + | 0.0537440i | 0.545821 | − | 0.837902i | \(-0.316218\pi\) |
−0.452734 | + | 0.891646i | \(0.649551\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.15355 | − | 1.99801i | −0.0652026 | − | 0.112934i | 0.831581 | − | 0.555403i | \(-0.187436\pi\) |
−0.896784 | + | 0.442469i | \(0.854103\pi\) | |||||||
\(314\) | −15.7917 | − | 27.3521i | −0.891180 | − | 1.54357i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 17.2159 | + | 29.8187i | 0.968468 | + | 1.67744i | ||||
\(317\) | − | 9.48079i | − | 0.532494i | −0.963905 | − | 0.266247i | \(-0.914216\pi\) | ||
0.963905 | − | 0.266247i | \(-0.0857838\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 6.35739i | − | 0.355946i | ||||||
\(320\) | −16.5071 | − | 28.5912i | −0.922777 | − | 1.59830i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.379941 | 0.0211733 | ||||||||
\(323\) | 0.273600i | 0.0152235i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.62676 | + | 9.74584i | −0.312117 | + | 0.540602i | ||||
\(326\) | 21.3208 | − | 12.3096i | 1.18085 | − | 0.681765i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.896830 | + | 1.55336i | −0.0495192 | + | 0.0857697i | ||||
\(329\) | −1.17013 | + | 2.02673i | −0.0645115 | + | 0.111737i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.85423i | 0.156883i | 0.996919 | + | 0.0784413i | \(0.0249943\pi\) | ||||
−0.996919 | + | 0.0784413i | \(0.975006\pi\) | |||||||
\(332\) | − | 38.6698i | − | 2.12228i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.75215 | + | 3.03481i | −0.0958733 | + | 0.166057i | ||||
\(335\) | −3.17419 | − | 1.83262i | −0.173425 | − | 0.100127i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.40811 | + | 14.5633i | −0.458019 | + | 0.793312i | −0.998856 | − | 0.0478154i | \(-0.984774\pi\) |
0.540837 | + | 0.841127i | \(0.318107\pi\) | |||||||
\(338\) | −17.3226 | − | 10.0012i | −0.942224 | − | 0.543993i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 24.4866i | − | 1.32797i | ||||||
\(341\) | −19.2316 | + | 11.1034i | −1.04145 | + | 0.601280i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.9643 | 0.969981 | ||||||||
\(344\) | 2.30869 | − | 3.99876i | 0.124476 | − | 0.215599i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 36.9454i | − | 1.98619i | ||||||
\(347\) | 3.46999 | − | 2.00340i | 0.186279 | − | 0.107548i | −0.403961 | − | 0.914776i | \(-0.632367\pi\) |
0.590239 | + | 0.807228i | \(0.299033\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.7999 | − | 8.54472i | 0.792220 | − | 0.457388i | −0.0485235 | − | 0.998822i | \(-0.515452\pi\) |
0.840743 | + | 0.541434i | \(0.182118\pi\) | |||||||
\(350\) | −17.1295 | − | 9.88975i | −0.915613 | − | 0.528629i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −45.0645 | − | 26.0180i | −2.40195 | − | 1.38676i | ||||
\(353\) | −12.8436 | + | 22.2458i | −0.683598 | + | 1.18403i | 0.290278 | + | 0.956942i | \(0.406252\pi\) |
−0.973875 | + | 0.227083i | \(0.927081\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.69615 | − | 16.7942i | 0.514618 | − | 0.891345i | ||||
\(356\) | −13.0461 | − | 22.5966i | −0.691444 | − | 1.19762i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.50378 | − | 12.9969i | 0.396587 | − | 0.686909i | ||||
\(359\) | −31.1572 | + | 17.9886i | −1.64441 | + | 0.949402i | −0.665174 | + | 0.746689i | \(0.731643\pi\) |
−0.979238 | + | 0.202713i | \(0.935024\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.49646 | + | 16.4483i | 0.499814 | + | 0.865703i | ||||
\(362\) | −21.5666 | − | 37.3545i | −1.13352 | − | 1.96331i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.16496 | + | 5.48187i | −0.165889 | + | 0.287328i | ||||
\(365\) | 13.0371 | − | 7.52700i | 0.682395 | − | 0.393981i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.25781 | + | 12.5709i | 0.378855 | + | 0.656195i | 0.990896 | − | 0.134630i | \(-0.0429847\pi\) |
−0.612041 | + | 0.790826i | \(0.709651\pi\) | |||||||
\(368\) | −0.354047 | − | 0.204409i | −0.0184560 | − | 0.0106556i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 53.7973 | 2.79679 | ||||||||
\(371\) | −3.57445 | + | 6.19113i | −0.185576 | + | 0.321428i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.85139 | 0.147639 | 0.0738196 | − | 0.997272i | \(-0.476481\pi\) | ||||
0.0738196 | + | 0.997272i | \(0.476481\pi\) | |||||||
\(374\) | −21.4842 | − | 37.2118i | −1.11092 | − | 1.92417i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.677607 | + | 0.391216i | −0.0349449 | + | 0.0201755i | ||||
\(377\) | 1.55985 | + | 0.900579i | 0.0803363 | + | 0.0463822i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.1623 | − | 15.1048i | 1.34387 | − | 0.775883i | 0.356496 | − | 0.934297i | \(-0.383971\pi\) |
0.987373 | + | 0.158414i | \(0.0506381\pi\) | |||||||
\(380\) | 0.316957 | + | 0.548985i | 0.0162595 | + | 0.0281623i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 41.6560i | − | 2.13131i | ||||||
\(383\) | −13.2487 | + | 22.9473i | −0.676974 | + | 1.17255i | 0.298913 | + | 0.954280i | \(0.403376\pi\) |
−0.975888 | + | 0.218274i | \(0.929957\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −33.2103 | −1.69255 | ||||||||
\(386\) | −14.4646 | + | 25.0534i | −0.736227 | + | 1.27518i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.34758 | 0.0684132 | ||||||||
\(389\) | 35.4703 | 1.79842 | 0.899209 | − | 0.437520i | \(-0.144143\pi\) | ||||
0.899209 | + | 0.437520i | \(0.144143\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.193464 | − | 0.335090i | −0.00978391 | − | 0.0169462i | ||||
\(392\) | 2.06342 | + | 1.19131i | 0.104218 | + | 0.0601705i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 44.5352 | + | 25.7124i | 2.24365 | + | 1.29537i | ||||
\(395\) | −25.5903 | − | 44.3238i | −1.28759 | − | 2.23017i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.43335 | + | 4.86900i | −0.423258 | + | 0.244368i | −0.696470 | − | 0.717586i | \(-0.745247\pi\) |
0.273212 | + | 0.961954i | \(0.411914\pi\) | |||||||
\(398\) | 4.88384 | 0.244805 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 10.6414 | + | 18.4315i | 0.532071 | + | 0.921574i | ||||
\(401\) | −23.4464 | + | 13.5368i | −1.17086 | + | 0.675996i | −0.953882 | − | 0.300181i | \(-0.902953\pi\) |
−0.216977 | + | 0.976177i | \(0.569620\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 6.29154i | − | 0.313404i | ||||||
\(404\) | −29.4017 | −1.46279 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.58288 | + | 2.74163i | −0.0785571 | + | 0.136065i | ||||
\(407\) | 43.2914 | − | 24.9943i | 2.14588 | − | 1.23892i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.75036 | −0.432678 | −0.216339 | − | 0.976318i | \(-0.569412\pi\) | ||||
−0.216339 | + | 0.976318i | \(0.569412\pi\) | |||||||
\(410\) | 11.9527 | − | 20.7027i | 0.590303 | − | 1.02244i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.87871 | + | 21.4442i | 0.388156 | + | 1.05648i | ||||
\(413\) | 10.0725i | 0.495634i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 57.4804i | 2.82160i | ||||||||
\(416\) | 12.7676 | − | 7.37135i | 0.625981 | − | 0.361410i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.963343 | + | 0.556186i | 0.0471187 | + | 0.0272040i | ||||
\(419\) | −12.0545 | + | 6.95969i | −0.588903 | + | 0.340003i | −0.764664 | − | 0.644430i | \(-0.777095\pi\) |
0.175761 | + | 0.984433i | \(0.443761\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.4614 | −0.899751 | −0.449876 | − | 0.893091i | \(-0.648532\pi\) | ||||
−0.449876 | + | 0.893091i | \(0.648532\pi\) | |||||||
\(422\) | 48.3065 | 2.35153 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.06991 | + | 1.19506i | −0.100524 | + | 0.0580374i | ||||
\(425\) | 20.1433i | 0.977091i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.52095 | − | 6.09847i | −0.170391 | − | 0.295125i | ||||
\(428\) | 34.7501 | + | 20.0630i | 1.67971 | + | 0.969781i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −30.7696 | + | 53.2945i | −1.48384 | + | 2.57009i | ||||
\(431\) | −11.5741 | − | 6.68229i | −0.557503 | − | 0.321875i | 0.194640 | − | 0.980875i | \(-0.437646\pi\) |
−0.752143 | + | 0.659000i | \(0.770980\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.02816 | + | 2.90301i | −0.241638 | + | 0.139510i | −0.615929 | − | 0.787801i | \(-0.711219\pi\) |
0.374291 | + | 0.927311i | \(0.377886\pi\) | |||||||
\(434\) | 11.0582 | 0.530810 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 15.2677i | 0.731188i | ||||||||
\(437\) | 0.00867485 | + | 0.00500843i | 0.000414974 | + | 0.000239586i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.0149i | 0.955259i | 0.878561 | + | 0.477629i | \(0.158504\pi\) | ||||
−0.878561 | + | 0.477629i | \(0.841496\pi\) | |||||||
\(440\) | −9.61579 | − | 5.55168i | −0.458415 | − | 0.264666i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.1737 | 0.579044 | ||||||||
\(443\) | −18.5714 | −0.882355 | −0.441178 | − | 0.897420i | \(-0.645439\pi\) | ||||
−0.441178 | + | 0.897420i | \(0.645439\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 19.3923 | + | 33.5885i | 0.919283 | + | 1.59225i | ||||
\(446\) | 1.30394i | 0.0617431i | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.63804 | + | 13.2295i | 0.360863 | + | 0.625034i | ||||
\(449\) | 18.6100 | 0.878261 | 0.439131 | − | 0.898423i | \(-0.355287\pi\) | ||||
0.439131 | + | 0.898423i | \(0.355287\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 22.2130i | − | 1.04597i | ||||||
\(452\) | −12.1802 | − | 21.0967i | −0.572908 | − | 0.992307i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 26.4834i | − | 1.24293i | ||||||
\(455\) | 4.70452 | − | 8.14847i | 0.220551 | − | 0.382006i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.28204 | − | 5.35899i | 0.434196 | − | 0.250683i | −0.266937 | − | 0.963714i | \(-0.586011\pi\) |
0.701132 | + | 0.713031i | \(0.252678\pi\) | |||||||
\(458\) | 8.02828 | + | 4.63513i | 0.375137 | + | 0.216585i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.776382 | − | 0.448244i | −0.0361990 | − | 0.0208995i | ||||
\(461\) | −1.70921 | − | 0.986812i | −0.0796058 | − | 0.0459604i | 0.459669 | − | 0.888090i | \(-0.347968\pi\) |
−0.539275 | + | 0.842130i | \(0.681301\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.55307 | − | 3.78342i | 0.304547 | − | 0.175830i | −0.339937 | − | 0.940448i | \(-0.610406\pi\) |
0.644484 | + | 0.764618i | \(0.277072\pi\) | |||||||
\(464\) | 2.95001 | − | 1.70319i | 0.136951 | − | 0.0790686i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 53.3075 | + | 30.7771i | 2.46942 | + | 1.42572i | ||||
\(467\) | 4.24454 | + | 2.45059i | 0.196414 | + | 0.113400i | 0.594982 | − | 0.803739i | \(-0.297159\pi\) |
−0.398568 | + | 0.917139i | \(0.630493\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.46873 | + | 0.847974i | 0.0678198 | + | 0.0391558i | ||||
\(470\) | 9.03097 | − | 5.21404i | 0.416568 | − | 0.240506i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.68379 | + | 2.91641i | −0.0775027 | + | 0.134239i | ||||
\(473\) | 57.1824i | 2.62925i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.260736 | − | 0.451607i | −0.0119634 | − | 0.0207212i | ||||
\(476\) | 11.3302i | 0.519321i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.05822 | −0.139880 | ||||||||
\(479\) | −16.2721 | − | 28.1841i | −0.743491 | − | 1.28776i | −0.950897 | − | 0.309509i | \(-0.899835\pi\) |
0.207406 | − | 0.978255i | \(-0.433498\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.1626i | 0.645761i | ||||||||
\(482\) | 23.3321 | + | 40.4125i | 1.06275 | + | 1.84074i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −67.7452 | −3.07933 | ||||||||
\(485\) | −2.00310 | −0.0909562 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.4622 | + | 12.3912i | 0.972546 | + | 0.561500i | 0.900011 | − | 0.435866i | \(-0.143558\pi\) |
0.0725344 | + | 0.997366i | \(0.476891\pi\) | |||||||
\(488\) | − | 2.35435i | − | 0.106577i | ||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −27.5007 | − | 15.8775i | −1.24235 | − | 0.717274i | ||||
\(491\) | − | 33.5220i | − | 1.51283i | −0.654093 | − | 0.756414i | \(-0.726950\pi\) | ||
0.654093 | − | 0.756414i | \(-0.273050\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.22398 | 0.145201 | ||||||||
\(494\) | −0.272932 | + | 0.157577i | −0.0122798 | + | 0.00708973i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.3045 | − | 5.94933i | −0.462688 | − | 0.267133i | ||||
\(497\) | −4.48652 | + | 7.77088i | −0.201248 | + | 0.348572i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.03282 | + | 1.17365i | 0.0910015 | + | 0.0525398i | 0.544810 | − | 0.838559i | \(-0.316602\pi\) |
−0.453809 | + | 0.891099i | \(0.649935\pi\) | |||||||
\(500\) | 4.50483 | + | 7.80259i | 0.201462 | + | 0.348942i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 47.7823i | 2.13263i | ||||||||
\(503\) | 33.4371 | − | 19.3049i | 1.49089 | − | 0.860764i | 0.490942 | − | 0.871193i | \(-0.336653\pi\) |
0.999946 | + | 0.0104284i | \(0.00331954\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 43.7039 | 1.94480 | ||||||||
\(506\) | −1.57313 | −0.0699343 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.22502 | − | 5.32607i | 0.409294 | − | 0.236306i | ||||
\(509\) | −13.2490 | − | 7.64931i | −0.587252 | − | 0.339050i | 0.176758 | − | 0.984254i | \(-0.443439\pi\) |
−0.764010 | + | 0.645204i | \(0.776772\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.03244 | + | 3.48283i | −0.266859 | + | 0.154071i | ||||
\(512\) | − | 31.4377i | − | 1.38936i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 37.3704i | − | 1.64834i | ||||||
\(515\) | −11.7112 | − | 31.8756i | −0.516058 | − | 1.40460i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.84490 | − | 8.39161i | 0.213078 | − | 0.369062i | ||||
\(518\) | −24.8926 | −1.09372 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.72432 | − | 1.57289i | 0.119469 | − | 0.0689756i | ||||
\(521\) | −6.20802 | + | 10.7526i | −0.271978 | + | 0.471080i | −0.969368 | − | 0.245612i | \(-0.921011\pi\) |
0.697390 | + | 0.716692i | \(0.254344\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.00424 | −0.306274 | −0.153137 | − | 0.988205i | \(-0.548938\pi\) | ||||
−0.153137 | + | 0.988205i | \(0.548938\pi\) | |||||||
\(524\) | 24.3420i | 1.06338i | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −22.0774 | + | 12.7464i | −0.962620 | + | 0.555769i | ||||
\(527\) | −5.63077 | − | 9.75279i | −0.245280 | − | 0.424838i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9858 | 0.999384 | ||||||||
\(530\) | 27.5873 | − | 15.9275i | 1.19831 | − | 0.691847i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.146659 | − | 0.254021i | −0.00635849 | − | 0.0110132i | ||||
\(533\) | 5.45018 | + | 3.14666i | 0.236074 | + | 0.136297i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −51.6539 | − | 29.8224i | −2.23319 | − | 1.28934i | ||||
\(536\) | 0.283507 | + | 0.491049i | 0.0122456 | + | 0.0212101i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.53665 | −0.238702 | ||||||||
\(539\) | −29.5069 | −1.27095 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.9258 | − | 20.6561i | 0.512730 | − | 0.888075i | −0.487161 | − | 0.873312i | \(-0.661967\pi\) |
0.999891 | − | 0.0147624i | \(-0.00469918\pi\) | |||||||
\(542\) | 43.5254 | 1.86958 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 13.1944 | − | 22.8533i | 0.565703 | − | 0.979827i | ||||
\(545\) | − | 22.6945i | − | 0.972124i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.4827 | − | 18.1566i | −0.448209 | − | 0.776320i | 0.550061 | − | 0.835125i | \(-0.314605\pi\) |
−0.998270 | + | 0.0588042i | \(0.981271\pi\) | |||||||
\(548\) | −27.1398 | + | 15.6692i | −1.15935 | + | 0.669353i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 70.9243 | + | 40.9481i | 3.02422 | + | 1.74603i | ||||
\(551\) | −0.0722810 | + | 0.0417315i | −0.00307927 | + | 0.00177782i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.8409 | + | 20.5091i | 0.503528 | + | 0.872136i | ||||
\(554\) | −35.1256 | −1.49235 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −17.6102 | + | 30.5018i | −0.746841 | + | 1.29357i | ||||
\(557\) | 12.6348 | 0.535353 | 0.267677 | − | 0.963509i | \(-0.413744\pi\) | ||||
0.267677 | + | 0.963509i | \(0.413744\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −14.0303 | − | 8.10037i | −0.593417 | − | 0.342609i | ||||
\(560\) | −8.89726 | − | 15.4105i | −0.375978 | − | 0.651213i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.22048 | + | 4.16875i | −0.304578 | + | 0.175848i | ||||
\(563\) | −22.1035 | + | 38.2843i | −0.931550 | + | 1.61349i | −0.150877 | + | 0.988552i | \(0.548210\pi\) |
−0.780673 | + | 0.624940i | \(0.785123\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.1051 | + | 31.3590i | 0.761689 | + | 1.31928i | ||||
\(566\) | 14.2223 | + | 24.6337i | 0.597808 | + | 1.03543i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.59808 | + | 1.50000i | −0.109013 | + | 0.0629386i | ||||
\(569\) | −19.5867 | + | 33.9252i | −0.821119 | + | 1.42222i | 0.0837313 | + | 0.996488i | \(0.473316\pi\) |
−0.904850 | + | 0.425731i | \(0.860017\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.14520 | + | 3.71560i | 0.0897739 | + | 0.155493i | 0.907415 | − | 0.420235i | \(-0.138052\pi\) |
−0.817642 | + | 0.575728i | \(0.804719\pi\) | |||||||
\(572\) | 13.1044 | − | 22.6975i | 0.547922 | − | 0.949029i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.53066 | + | 9.57939i | −0.230845 | + | 0.399836i | ||||
\(575\) | 0.638669 | + | 0.368736i | 0.0266343 | + | 0.0153773i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −28.7482 | − | 16.5978i | −1.19680 | − | 0.690975i | −0.236963 | − | 0.971519i | \(-0.576152\pi\) |
−0.959841 | + | 0.280544i | \(0.909485\pi\) | |||||||
\(578\) | −11.4839 | + | 6.63022i | −0.477667 | + | 0.275781i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.46900 | − | 3.73488i | 0.268611 | − | 0.155083i | ||||
\(581\) | − | 26.5968i | − | 1.10342i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.7999 | − | 25.6342i | 0.612949 | − | 1.06166i | ||||
\(584\) | −2.32886 | −0.0963690 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 43.9647 | − | 25.3831i | 1.81617 | − | 1.04856i | ||||
\(587\) | − | 11.9322i | − | 0.492493i | −0.969207 | − | 0.246246i | \(-0.920803\pi\) | ||
0.969207 | − | 0.246246i | \(-0.0791973\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.252481 | + | 0.145770i | 0.0104033 | + | 0.00600636i | ||||
\(590\) | 22.4411 | − | 38.8691i | 0.923886 | − | 1.60022i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 23.1962 | + | 13.3923i | 0.953356 | + | 0.550420i | ||||
\(593\) | −8.57511 | + | 14.8525i | −0.352138 | + | 0.609920i | −0.986624 | − | 0.163014i | \(-0.947878\pi\) |
0.634486 | + | 0.772934i | \(0.281212\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 16.8417i | − | 0.690443i | ||||||
\(596\) | 39.6842i | 1.62553i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.222848 | − | 0.385984i | 0.00911292 | − | 0.0157840i | ||||
\(599\) | −13.2793 | + | 23.0004i | −0.542577 | + | 0.939771i | 0.456178 | + | 0.889888i | \(0.349218\pi\) |
−0.998755 | + | 0.0498823i | \(0.984115\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.29819 | + | 0.749508i | −0.0529541 | + | 0.0305731i | −0.526243 | − | 0.850334i | \(-0.676400\pi\) |
0.473289 | + | 0.880907i | \(0.343067\pi\) | |||||||
\(602\) | 14.2374 | − | 24.6600i | 0.580275 | − | 1.00507i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 44.9547i | 1.82918i | ||||||||
\(605\) | 100.699 | 4.09401 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.5678 | − | 18.3040i | −0.428933 | − | 0.742934i | 0.567845 | − | 0.823135i | \(-0.307777\pi\) |
−0.996779 | + | 0.0802008i | \(0.974444\pi\) | |||||||
\(608\) | 0.683154i | 0.0277056i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 31.3782i | 1.27047i | ||||||||
\(611\) | 1.37264 | + | 2.37749i | 0.0555312 | + | 0.0961828i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.16220 | − | 2.01298i | −0.0469406 | − | 0.0813036i | 0.841600 | − | 0.540101i | \(-0.181614\pi\) |
−0.888541 | + | 0.458797i | \(0.848280\pi\) | |||||||
\(614\) | −19.0403 | − | 32.9787i | −0.768403 | − | 1.33091i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.44933 | + | 2.56882i | 0.179269 | + | 0.103501i | ||||
\(617\) | 9.14922 | 0.368334 | 0.184167 | − | 0.982895i | \(-0.441041\pi\) | ||||
0.184167 | + | 0.982895i | \(0.441041\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.2510 | 0.894345 | 0.447172 | − | 0.894448i | \(-0.352431\pi\) | ||||
0.447172 | + | 0.894448i | \(0.352431\pi\) | |||||||
\(620\) | −22.5966 | − | 13.0461i | −0.907501 | − | 0.523946i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.95415 | + | 3.38469i | 0.0783544 | + | 0.135714i | ||||
\(623\) | −8.97304 | − | 15.5418i | −0.359497 | − | 0.622667i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.79423 | + | 15.2321i | 0.351769 | + | 0.609282i | ||||
\(626\) | − | 4.75681i | − | 0.190120i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 34.4825i | − | 1.37600i | ||||||
\(629\) | 12.6752 | + | 21.9541i | 0.505394 | + | 0.875368i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −31.5198 | −1.25478 | −0.627391 | − | 0.778704i | \(-0.715877\pi\) | ||||
−0.627391 | + | 0.778704i | \(0.715877\pi\) | |||||||
\(632\) | 7.91768i | 0.314948i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.77380 | − | 16.9287i | 0.388167 | − | 0.672325i | ||||
\(635\) | −13.7124 | + | 7.91688i | −0.544161 | + | 0.314172i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.17991 | − | 7.23981i | 0.165614 | − | 0.286852i | ||||
\(638\) | 6.55387 | − | 11.3516i | 0.259470 | − | 0.449415i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 13.7472i | − | 0.543407i | ||||||
\(641\) | 20.0290i | 0.791099i | 0.918445 | + | 0.395549i | \(0.129446\pi\) | ||||
−0.918445 | + | 0.395549i | \(0.870554\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.13708 | + | 8.89768i | −0.202587 | + | 0.350890i | −0.949361 | − | 0.314187i | \(-0.898268\pi\) |
0.746775 | + | 0.665077i | \(0.231601\pi\) | |||||||
\(644\) | 0.359241 | + | 0.207408i | 0.0141561 | + | 0.00817301i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.282055 | + | 0.488534i | −0.0110973 | + | 0.0192211i | ||||
\(647\) | −26.3758 | − | 15.2281i | −1.03694 | − | 0.598677i | −0.117974 | − | 0.993017i | \(-0.537640\pi\) |
−0.918965 | + | 0.394339i | \(0.870973\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 41.7047i | − | 1.63705i | ||||||
\(650\) | −20.0941 | + | 11.6013i | −0.788154 | + | 0.455041i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.8789 | 1.05266 | ||||||||
\(653\) | 9.55028 | − | 16.5416i | 0.373731 | − | 0.647322i | −0.616405 | − | 0.787429i | \(-0.711412\pi\) |
0.990136 | + | 0.140108i | \(0.0447449\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 36.1829i | − | 1.41378i | ||||||
\(656\) | 10.3075 | − | 5.95102i | 0.402439 | − | 0.232348i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.17873 | + | 2.41259i | −0.162904 | + | 0.0940527i | ||||
\(659\) | −23.0728 | − | 13.3211i | −0.898790 | − | 0.518917i | −0.0219827 | − | 0.999758i | \(-0.506998\pi\) |
−0.876807 | + | 0.480842i | \(0.840331\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.6848 | − | 20.0253i | −1.34908 | − | 0.778894i | −0.360964 | − | 0.932580i | \(-0.617552\pi\) |
−0.988120 | + | 0.153686i | \(0.950886\pi\) | |||||||
\(662\) | −2.94244 | + | 5.09645i | −0.114361 | + | 0.198079i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.44612 | − | 7.70091i | 0.172543 | − | 0.298853i | ||||
\(665\) | 0.218000 | + | 0.377588i | 0.00845369 | + | 0.0146422i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0590172 | − | 0.102221i | 0.00228515 | − | 0.00395800i | ||||
\(668\) | −3.31337 | + | 1.91298i | −0.128198 | + | 0.0740152i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.77851 | − | 6.54458i | −0.145977 | − | 0.252839i | ||||
\(671\) | 14.5784 | + | 25.2505i | 0.562792 | + | 0.974784i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.6790 | − | 32.3529i | 0.720022 | − | 1.24711i | −0.240969 | − | 0.970533i | \(-0.577465\pi\) |
0.960991 | − | 0.276581i | \(-0.0892015\pi\) | |||||||
\(674\) | −30.0267 | + | 17.3359i | −1.15658 | + | 0.667755i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.9192 | − | 18.9126i | −0.419969 | − | 0.727407i | ||||
\(677\) | −34.5847 | − | 19.9675i | −1.32920 | − | 0.767412i | −0.344021 | − | 0.938962i | \(-0.611789\pi\) |
−0.985175 | + | 0.171550i | \(0.945122\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.926858 | 0.0355696 | ||||||||
\(680\) | 2.81539 | − | 4.87639i | 0.107965 | − | 0.187001i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −45.7860 | −1.75324 | ||||||||
\(683\) | 8.57337 | + | 14.8495i | 0.328051 | + | 0.568201i | 0.982125 | − | 0.188229i | \(-0.0602749\pi\) |
−0.654074 | + | 0.756431i | \(0.726942\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 40.3416 | − | 23.2913i | 1.54137 | − | 0.889913i | ||||
\(686\) | 32.0767 | + | 18.5195i | 1.22469 | + | 0.707077i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −26.5343 | + | 15.3196i | −1.01161 | + | 0.584053i | ||||
\(689\) | 4.19306 | + | 7.26260i | 0.159743 | + | 0.276683i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 33.4266i | − | 1.27161i | −0.771850 | − | 0.635805i | \(-0.780668\pi\) | ||
0.771850 | − | 0.635805i | \(-0.219332\pi\) | |||||||
\(692\) | 20.1683 | − | 34.9324i | 0.766682 | − | 1.32793i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.26125 | 0.313593 | ||||||||
\(695\) | 26.1766 | − | 45.3392i | 0.992934 | − | 1.71981i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.2647 | 0.426683 | ||||||||
\(698\) | 35.2352 | 1.33367 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.7975 | − | 18.7018i | −0.408108 | − | 0.706863i | ||||
\(701\) | 33.8015 | + | 19.5153i | 1.27666 | + | 0.737082i | 0.976233 | − | 0.216722i | \(-0.0695365\pi\) |
0.300430 | + | 0.953804i | \(0.402870\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.568351 | − | 0.328138i | −0.0214358 | − | 0.0123759i | ||||
\(704\) | −31.6250 | − | 54.7761i | −1.19191 | − | 2.06445i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −45.8667 | + | 26.4811i | −1.72621 | + | 0.996631i | ||||
\(707\) | −20.2223 | −0.760538 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.819137 | − | 1.41879i | −0.0307633 | − | 0.0532837i | 0.850234 | − | 0.526405i | \(-0.176460\pi\) |
−0.880997 | + | 0.473122i | \(0.843127\pi\) | |||||||
\(710\) | 34.6265 | − | 19.9916i | 1.29951 | − | 0.750272i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 6.00000i | − | 0.224860i | ||||||
\(713\) | −0.412300 | −0.0154408 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.4789 | + | 33.7384i | −0.728469 | + | 1.26175i | ||||
\(716\) | 14.1899 | − | 8.19254i | 0.530301 | − | 0.306169i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −74.1781 | −2.76830 | ||||||||
\(719\) | 8.24140 | − | 14.2745i | 0.307352 | − | 0.532350i | −0.670430 | − | 0.741973i | \(-0.733890\pi\) |
0.977782 | + | 0.209623i | \(0.0672236\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.41892 | + | 14.7492i | 0.201811 | + | 0.549288i | ||||
\(722\) | 39.1598i | 1.45738i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 47.0924i | − | 1.75017i | ||||||
\(725\) | −5.32155 | + | 3.07240i | −0.197637 | + | 0.114106i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.1840 | − | 9.92117i | −0.637318 | − | 0.367956i | 0.146263 | − | 0.989246i | \(-0.453276\pi\) |
−0.783581 | + | 0.621290i | \(0.786609\pi\) | |||||||
\(728\) | −1.26057 | + | 0.727792i | −0.0467199 | + | 0.0269738i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 31.0385 | 1.14879 | ||||||||
\(731\) | −28.9985 | −1.07255 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −33.0079 | + | 19.0571i | −1.21918 | + | 0.703891i | −0.964742 | − | 0.263199i | \(-0.915222\pi\) |
−0.254434 | + | 0.967090i | \(0.581889\pi\) | |||||||
\(734\) | 29.9284i | 1.10468i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.483063 | − | 0.836690i | −0.0178059 | − | 0.0308408i | ||||
\(737\) | −6.08124 | − | 3.51101i | −0.224005 | − | 0.129330i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.09596 | + | 3.63030i | −0.0771010 | + | 0.133543i | −0.901998 | − | 0.431740i | \(-0.857900\pi\) |
0.824897 | + | 0.565283i | \(0.191233\pi\) | |||||||
\(740\) | 50.8663 | + | 29.3676i | 1.86988 | + | 1.07958i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.7649 | + | 7.36984i | −0.468616 | + | 0.270555i | ||||
\(743\) | 17.3932 | 0.638096 | 0.319048 | − | 0.947738i | \(-0.396637\pi\) | ||||
0.319048 | + | 0.947738i | \(0.396637\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 58.9881i | − | 2.16116i | ||||||
\(746\) | 5.09138 | + | 2.93951i | 0.186409 | + | 0.107623i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 46.9125i | − | 1.71529i | ||||||
\(749\) | 23.9009 | + | 13.7992i | 0.873318 | + | 0.504211i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.9344 | 0.909870 | 0.454935 | − | 0.890525i | \(-0.349663\pi\) | ||||
0.454935 | + | 0.890525i | \(0.349663\pi\) | |||||||
\(752\) | 5.19193 | 0.189330 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.85682 | + | 3.21611i | 0.0676215 | + | 0.117124i | ||||
\(755\) | − | 66.8225i | − | 2.43192i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.7281 | − | 18.5816i | −0.389920 | − | 0.675361i | 0.602518 | − | 0.798105i | \(-0.294164\pi\) |
−0.992438 | + | 0.122744i | \(0.960831\pi\) | |||||||
\(758\) | 62.2866 | 2.26235 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.145770i | 0.00528764i | ||||||||
\(761\) | −12.6168 | − | 21.8529i | −0.457359 | − | 0.792168i | 0.541462 | − | 0.840725i | \(-0.317871\pi\) |
−0.998820 | + | 0.0485570i | \(0.984538\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.5010i | 0.380161i | ||||||||
\(764\) | 22.7398 | − | 39.3864i | 0.822696 | − | 1.42495i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −47.3130 | + | 27.3162i | −1.70949 | + | 0.986974i | ||||
\(767\) | 10.2327 | + | 5.90783i | 0.369480 | + | 0.213319i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.13090 | − | 1.80762i | −0.112903 | − | 0.0651846i | 0.442485 | − | 0.896776i | \(-0.354097\pi\) |
−0.555388 | + | 0.831591i | \(0.687430\pi\) | |||||||
\(770\) | −59.2996 | − | 34.2366i | −2.13701 | − | 1.23380i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −27.3530 | + | 15.7922i | −0.984455 | + | 0.568375i | ||||
\(773\) | −30.0031 | + | 17.3223i | −1.07914 | + | 0.623040i | −0.930663 | − | 0.365876i | \(-0.880769\pi\) |
−0.148474 | + | 0.988916i | \(0.547436\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 18.5885 | + | 10.7321i | 0.667717 | + | 0.385507i | ||||
\(776\) | 0.268365 | + | 0.154941i | 0.00963374 | + | 0.00556204i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 63.3351 | + | 36.5665i | 2.27067 | + | 1.31097i | ||||
\(779\) | −0.252553 | + | 0.145812i | −0.00904866 | + | 0.00522424i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.5763 | − | 32.1750i | 0.664711 | − | 1.15131i | ||||
\(782\) | − | 0.797773i | − | 0.0285283i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.90511 | − | 13.6920i | −0.282325 | − | 0.489002i | ||||
\(785\) | 51.2561i | 1.82941i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −43.6675 | −1.55658 | −0.778289 | − | 0.627906i | \(-0.783912\pi\) | ||||
−0.778289 | + | 0.627906i | \(0.783912\pi\) | |||||||
\(788\) | 28.0725 | + | 48.6230i | 1.00004 | + | 1.73212i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | − | 105.525i | − | 3.75441i | ||||||
\(791\) | −8.37745 | − | 14.5102i | −0.297868 | − | 0.515922i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.26060 | −0.293343 | ||||||||
\(794\) | −20.0779 | −0.712538 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.61775 | + | 2.66606i | 0.163672 | + | 0.0944959i | ||||
\(797\) | 30.6976i | 1.08736i | 0.839291 | + | 0.543682i | \(0.182970\pi\) | ||||
−0.839291 | + | 0.543682i | \(0.817030\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.25558 | + | 2.45696i | 0.150552 | + | 0.0869211i | ||||
\(800\) | 50.2959i | 1.77823i | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −55.8206 | −1.97110 | ||||||||
\(803\) | 24.9771 | − | 14.4205i | 0.881422 | − | 0.508889i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.533990 | − | 0.308299i | −0.0188207 | − | 0.0108661i | ||||
\(806\) | 6.48598 | − | 11.2340i | 0.228459 | − | 0.395702i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.85521 | − | 3.38051i | −0.205986 | − | 0.118926i | ||||
\(809\) | 18.5375 | + | 32.1079i | 0.651744 | + | 1.12885i | 0.982699 | + | 0.185207i | \(0.0592957\pi\) |
−0.330956 | + | 0.943646i | \(0.607371\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.3092i | 0.958955i | 0.877554 | + | 0.479478i | \(0.159174\pi\) | ||||
−0.877554 | + | 0.479478i | \(0.840826\pi\) | |||||||
\(812\) | −2.99328 | + | 1.72817i | −0.105044 | + | 0.0606469i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 103.067 | 3.61250 | ||||||||
\(815\) | −39.9539 | −1.39952 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.650141 | − | 0.375359i | 0.0227456 | − | 0.0131322i | ||||
\(818\) | −15.6245 | − | 9.02079i | −0.546297 | − | 0.315405i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 22.6030 | − | 13.0498i | 0.789331 | − | 0.455721i | ||||
\(821\) | 22.7819i | 0.795094i | 0.917582 | + | 0.397547i | \(0.130138\pi\) | ||||
−0.917582 | + | 0.397547i | \(0.869862\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 9.09264i | − | 0.316950i | −0.987363 | − | 0.158475i | \(-0.949342\pi\) | ||
0.987363 | − | 0.158475i | \(-0.0506577\pi\) | |||||||
\(824\) | −0.896575 | + | 5.17638i | −0.0312337 | + | 0.180328i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −10.3838 | + | 17.9852i | −0.361297 | + | 0.625785i | ||||
\(827\) | −4.07786 | −0.141801 | −0.0709005 | − | 0.997483i | \(-0.522587\pi\) | ||||
−0.0709005 | + | 0.997483i | \(0.522587\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.5670 | − | 12.4517i | 0.749051 | − | 0.432465i | −0.0762996 | − | 0.997085i | \(-0.524311\pi\) |
0.825351 | + | 0.564620i | \(0.190977\pi\) | |||||||
\(830\) | −59.2568 | + | 102.636i | −2.05683 | + | 3.56254i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17.9198 | 0.621258 | ||||||||
\(833\) | − | 14.9637i | − | 0.518460i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.92513 | − | 2.84352i | 0.170441 | − | 0.0984042i | ||||
\(836\) | 0.607238 | + | 1.05177i | 0.0210018 | + | 0.0363761i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −28.6991 | −0.991395 | ||||||||
\(839\) | −6.37140 | + | 3.67853i | −0.219965 | + | 0.126997i | −0.605934 | − | 0.795515i | \(-0.707201\pi\) |
0.385969 | + | 0.922512i | \(0.373867\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.0083 | − | 24.2630i | −0.483043 | − | 0.836655i | ||||
\(842\) | −32.9642 | − | 19.0319i | −1.13602 | − | 0.655883i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 45.6746 | + | 26.3703i | 1.57219 | + | 0.907702i | ||||
\(845\) | 16.2307 | + | 28.1124i | 0.558354 | + | 0.967097i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −46.5947 | −1.60101 | ||||||||
\(848\) | 15.8600 | 0.544634 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −20.7658 | + | 35.9674i | −0.712260 | + | 1.23367i | ||||
\(851\) | 0.928113 | 0.0318153 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.4219 | + | 45.7640i | −0.904667 | + | 1.56693i | −0.0833045 | + | 0.996524i | \(0.526547\pi\) |
−0.821363 | + | 0.570406i | \(0.806786\pi\) | |||||||
\(854\) | − | 14.5191i | − | 0.496832i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.61354 | + | 7.99089i | 0.157688 | + | 0.273123i | ||||
\(857\) | −36.8225 | + | 21.2595i | −1.25783 | + | 0.726210i | −0.972653 | − | 0.232264i | \(-0.925387\pi\) |
−0.285179 | + | 0.958474i | \(0.592053\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.4053 | − | 7.16222i | −0.423264 | − | 0.244372i | 0.273209 | − | 0.961955i | \(-0.411915\pi\) |
−0.696473 | + | 0.717583i | \(0.745248\pi\) | |||||||
\(860\) | −58.1863 | + | 33.5939i | −1.98414 | + | 1.14554i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −13.7776 | − | 23.8635i | −0.469267 | − | 0.812795i | ||||
\(863\) | −38.2577 | −1.30231 | −0.651153 | − | 0.758946i | \(-0.725715\pi\) | ||||
−0.651153 | + | 0.758946i | \(0.725715\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −29.9789 | + | 51.9250i | −1.01931 | + | 1.76550i | ||||
\(866\) | −11.9709 | −0.406788 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.4557 | + | 6.03660i | 0.354889 | + | 0.204895i | ||||
\(869\) | −49.0270 | − | 84.9172i | −1.66313 | − | 2.88062i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.72292 | − | 0.994728i | 0.0583789 | − | 0.0337051i | ||||
\(872\) | −1.75542 | + | 3.04048i | −0.0594461 | + | 0.102964i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.0103264 | + | 0.0178859i | 0.000349297 | + | 0.000604999i | ||||
\(875\) | 3.09839 | + | 5.36656i | 0.104745 | + | 0.181423i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.15201 | − | 2.39716i | 0.140203 | − | 0.0809465i | −0.428258 | − | 0.903657i | \(-0.640872\pi\) |
0.568461 | + | 0.822710i | \(0.307539\pi\) | |||||||
\(878\) | −20.6335 | + | 35.7382i | −0.696345 | + | 1.20611i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 36.8388 | + | 63.8067i | 1.24184 | + | 2.15092i | ||||
\(881\) | 7.48234 | − | 12.9598i | 0.252086 | − | 0.436626i | −0.712014 | − | 0.702166i | \(-0.752217\pi\) |
0.964100 | + | 0.265539i | \(0.0855500\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.0287 | + | 20.8343i | −0.404797 | + | 0.701130i | −0.994298 | − | 0.106638i | \(-0.965991\pi\) |
0.589500 | + | 0.807768i | \(0.299325\pi\) | |||||||
\(884\) | 11.5104 | + | 6.64555i | 0.387138 | + | 0.223514i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −33.1608 | − | 19.1454i | −1.11406 | − | 0.643202i | ||||
\(887\) | 15.9160 | − | 9.18910i | 0.534406 | − | 0.308540i | −0.208403 | − | 0.978043i | \(-0.566826\pi\) |
0.742809 | + | 0.669503i | \(0.233493\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.34490 | − | 3.66323i | 0.212801 | − | 0.122861i | ||||
\(890\) | 79.9665i | 2.68048i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.711811 | + | 1.23289i | −0.0238332 | + | 0.0412803i | ||||
\(893\) | −0.127212 | −0.00425700 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.0924 | + | 12.1777i | −0.705042 | + | 0.407056i | ||||
\(896\) | 6.36100i | 0.212506i | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 33.2297 | + | 19.1852i | 1.10889 | + | 0.640217i | ||||
\(899\) | 1.71769 | − | 2.97513i | 0.0572883 | − | 0.0992263i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9997 | + | 7.50538i | 0.433083 | + | 0.250040i | ||||
\(902\) | 22.8995 | − | 39.6631i | 0.762470 | − | 1.32064i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 5.60175i | − | 0.186311i | ||||||
\(905\) | 70.0000i | 2.32688i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.6020 | − | 33.9517i | 0.650875 | − | 1.12735i | −0.332036 | − | 0.943267i | \(-0.607736\pi\) |
0.982911 | − | 0.184082i | \(-0.0589310\pi\) | |||||||
\(908\) | 14.4571 | − | 25.0405i | 0.479777 | − | 0.830999i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 16.8006 | − | 9.69982i | 0.556934 | − | 0.321546i | ||||
\(911\) | 5.94709 | − | 10.3007i | 0.197036 | − | 0.341276i | −0.750530 | − | 0.660836i | \(-0.770202\pi\) |
0.947566 | + | 0.319560i | \(0.103535\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 110.123i | 3.64455i | ||||||||
\(914\) | 22.0984 | 0.730951 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.06058 | + | 8.76518i | 0.167206 | + | 0.289610i | ||||
\(917\) | 16.7422i | 0.552877i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 24.5353i | − | 0.809346i | −0.914462 | − | 0.404673i | \(-0.867385\pi\) | ||
0.914462 | − | 0.404673i | \(-0.132615\pi\) | |||||||
\(920\) | −0.103075 | − | 0.178531i | −0.00339829 | − | 0.00588600i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.03462 | − | 3.52406i | −0.0670066 | − | 0.116059i | ||||
\(923\) | 5.26298 | + | 9.11574i | 0.173233 | + | 0.300048i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −41.8437 | − | 24.1585i | −1.37581 | − | 0.794326i | ||||
\(926\) | 15.6014 | 0.512693 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.05000 | 0.264254 | ||||||||
\(929\) | −3.41962 | − | 1.97432i | −0.112194 | − | 0.0647753i | 0.442853 | − | 0.896594i | \(-0.353966\pi\) |
−0.555047 | + | 0.831819i | \(0.687300\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.193690 | + | 0.335482i | 0.00634795 | + | 0.0109950i | ||||
\(932\) | 33.6021 | + | 58.2005i | 1.10067 | + | 1.90642i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.05264 | + | 8.75144i | 0.165328 | + | 0.286356i | ||||
\(935\) | 69.7325i | 2.28050i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.8830i | 0.584212i | 0.956386 | + | 0.292106i | \(0.0943560\pi\) | ||||
−0.956386 | + | 0.292106i | \(0.905644\pi\) | |||||||
\(938\) | 1.74836 | + | 3.02825i | 0.0570860 | + | 0.0988759i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 11.3852 | 0.371346 | ||||||||
\(941\) | − | 36.2692i | − | 1.18234i | −0.806546 | − | 0.591171i | \(-0.798666\pi\) | ||
0.806546 | − | 0.591171i | \(-0.201334\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.206209 | − | 0.357164i | 0.00671508 | − | 0.0116309i | ||||
\(944\) | 19.3522 | − | 11.1730i | 0.629859 | − | 0.363649i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −58.9496 | + | 102.104i | −1.91662 | + | 3.31968i | ||||
\(947\) | −4.21565 | + | 7.30172i | −0.136990 | + | 0.237274i | −0.926356 | − | 0.376649i | \(-0.877076\pi\) |
0.789366 | + | 0.613923i | \(0.210410\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.17116i | 0.265247i | ||||||||
\(950\) | − | 1.07517i | − | 0.0348833i | ||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.30271 | + | 2.25636i | −0.0422211 | + | 0.0731291i | ||||
\(953\) | −28.7590 | − | 16.6040i | −0.931595 | − | 0.537857i | −0.0442793 | − | 0.999019i | \(-0.514099\pi\) |
−0.887316 | + | 0.461163i | \(0.847432\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −33.8013 | + | 58.5455i | −1.09378 | + | 1.89449i | ||||
\(956\) | −2.89160 | − | 1.66946i | −0.0935210 | − | 0.0539943i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 67.0999i | − | 2.16790i | ||||||
\(959\) | −18.6665 | + | 10.7771i | −0.602774 | + | 0.348012i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0000 | 0.612903 | ||||||||
\(962\) | −14.6003 | + | 25.2885i | −0.470734 | + | 0.815334i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 50.9475i | 1.64091i | ||||||||
\(965\) | 40.6585 | − | 23.4742i | 1.30884 | − | 0.755662i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −27.6180 | + | 15.9453i | −0.888136 | + | 0.512765i | −0.873332 | − | 0.487125i | \(-0.838046\pi\) |
−0.0148034 | + | 0.999890i | \(0.504712\pi\) | |||||||
\(968\) | −13.4911 | − | 7.78911i | −0.433622 | − | 0.250352i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.57670 | − | 2.06501i | −0.114841 | − | 0.0663034i | ||||
\(971\) | −1.10149 | + | 1.90784i | −0.0353486 | + | 0.0612256i | −0.883158 | − | 0.469075i | \(-0.844587\pi\) |
0.847810 | + | 0.530300i | \(0.177921\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.1122 | + | 20.9789i | −0.388299 | + | 0.672554i | ||||
\(974\) | 25.5483 | + | 44.2510i | 0.818621 | + | 1.41789i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.81130 | + | 13.5296i | −0.250033 | + | 0.433071i | ||||
\(977\) | −21.8001 | + | 12.5863i | −0.697448 | + | 0.402672i | −0.806396 | − | 0.591376i | \(-0.798585\pi\) |
0.108948 | + | 0.994047i | \(0.465252\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 37.1525 | + | 64.3501i | 1.18740 | + | 2.05664i | ||||
\(980\) | −17.3349 | − | 30.0249i | −0.553743 | − | 0.959112i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 34.5580 | − | 59.8562i | 1.10279 | − | 1.91009i | ||||
\(983\) | 5.95403 | − | 3.43756i | 0.189904 | − | 0.109641i | −0.402034 | − | 0.915625i | \(-0.631697\pi\) |
0.591938 | + | 0.805984i | \(0.298363\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −41.7281 | − | 72.2752i | −1.32957 | − | 2.30288i | ||||
\(986\) | 5.75668 | + | 3.32362i | 0.183330 | + | 0.105846i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.344082 | −0.0109467 | ||||||||
\(989\) | −0.530838 | + | 0.919438i | −0.0168797 | + | 0.0292364i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.98868 | 0.190237 | 0.0951183 | − | 0.995466i | \(-0.469677\pi\) | ||||
0.0951183 | + | 0.995466i | \(0.469677\pi\) | |||||||
\(992\) | −14.0595 | − | 24.3518i | −0.446391 | − | 0.773172i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −16.0221 | + | 9.25035i | −0.508189 | + | 0.293403i | ||||
\(995\) | −6.86400 | − | 3.96294i | −0.217604 | − | 0.125633i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.25458 | − | 5.34313i | 0.293095 | − | 0.169219i | −0.346242 | − | 0.938145i | \(-0.612542\pi\) |
0.639337 | + | 0.768927i | \(0.279209\pi\) | |||||||
\(998\) | 2.41984 | + | 4.19129i | 0.0765988 | + | 0.132673i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 927.2.o.a.665.7 | yes | 16 | |
3.2 | odd | 2 | inner | 927.2.o.a.665.2 | ✓ | 16 | |
103.57 | odd | 6 | inner | 927.2.o.a.881.2 | yes | 16 | |
309.263 | even | 6 | inner | 927.2.o.a.881.7 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.o.a.665.2 | ✓ | 16 | 3.2 | odd | 2 | inner | |
927.2.o.a.665.7 | yes | 16 | 1.1 | even | 1 | trivial | |
927.2.o.a.881.2 | yes | 16 | 103.57 | odd | 6 | inner | |
927.2.o.a.881.7 | yes | 16 | 309.263 | even | 6 | inner |