Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(109,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.839056.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 6x^{4} + 8x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Root | \(0.373087i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 360.109 |
Dual form | 360.2.d.f.109.2 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16170 | − | 0.806504i | −0.821447 | − | 0.570284i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.699104 | + | 1.87383i | 0.349552 | + | 0.936917i | ||||
\(5\) | 1.86081 | + | 1.23992i | 0.832178 | + | 0.554509i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.746175i | 0.282028i | 0.990008 | + | 0.141014i | \(0.0450362\pi\) | ||||
−0.990008 | + | 0.141014i | \(0.954964\pi\) | |||||||
\(8\) | 0.699104 | − | 2.74067i | 0.247170 | − | 0.968972i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.16170 | − | 2.94116i | −0.367362 | − | 0.930078i | ||||
\(11\) | 5.36068i | 1.61630i | 0.588974 | + | 0.808152i | \(0.299532\pi\) | ||||
−0.588974 | + | 0.808152i | \(0.700468\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.92520 | −0.811304 | −0.405652 | − | 0.914028i | \(-0.632955\pi\) | ||||
−0.405652 | + | 0.914028i | \(0.632955\pi\) | |||||||
\(14\) | 0.601793 | − | 0.866833i | 0.160836 | − | 0.231671i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.02251 | + | 2.62001i | −0.755627 | + | 0.655002i | ||||
\(17\) | − | 2.13466i | − | 0.517731i | −0.965913 | − | 0.258866i | \(-0.916651\pi\) | ||
0.965913 | − | 0.258866i | \(-0.0833487\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.73367i | 0.397730i | 0.980027 | + | 0.198865i | \(0.0637255\pi\) | ||||
−0.980027 | + | 0.198865i | \(0.936274\pi\) | |||||||
\(20\) | −1.02251 | + | 4.35367i | −0.228640 | + | 0.973511i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.32340 | − | 6.22751i | 0.921753 | − | 1.32771i | ||||
\(23\) | 7.49534i | 1.56289i | 0.623977 | + | 0.781443i | \(0.285516\pi\) | ||||
−0.623977 | + | 0.781443i | \(0.714484\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.92520 | + | 4.61450i | 0.385039 | + | 0.922900i | ||||
\(26\) | 3.39821 | + | 2.35918i | 0.666443 | + | 0.462674i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.39821 | + | 0.521653i | −0.264236 | + | 0.0985832i | ||||
\(29\) | − | 6.74916i | − | 1.25329i | −0.779306 | − | 0.626644i | \(-0.784428\pi\) | ||
0.779306 | − | 0.626644i | \(-0.215572\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.64681 | 0.475381 | 0.237690 | − | 0.971341i | \(-0.423610\pi\) | ||||
0.237690 | + | 0.971341i | \(0.423610\pi\) | |||||||
\(32\) | 5.62430 | − | 0.606006i | 0.994245 | − | 0.107128i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.72161 | + | 2.47984i | −0.295254 | + | 0.425289i | ||||
\(35\) | −0.925197 | + | 1.38849i | −0.156387 | + | 0.234697i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.07480 | −0.176697 | −0.0883483 | − | 0.996090i | \(-0.528159\pi\) | ||||
−0.0883483 | + | 0.996090i | \(0.528159\pi\) | |||||||
\(38\) | 1.39821 | − | 2.01400i | 0.226819 | − | 0.326714i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.69910 | − | 4.23302i | 0.742994 | − | 0.669299i | ||||
\(41\) | 11.2936 | 1.76377 | 0.881883 | − | 0.471468i | \(-0.156276\pi\) | ||||
0.881883 | + | 0.471468i | \(0.156276\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.44322 | 1.13508 | 0.567540 | − | 0.823346i | \(-0.307895\pi\) | ||||
0.567540 | + | 0.823346i | \(0.307895\pi\) | |||||||
\(44\) | −10.0450 | + | 3.74767i | −1.51434 | + | 0.564982i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.04502 | − | 8.70735i | 0.891289 | − | 1.28383i | ||||
\(47\) | − | 1.73367i | − | 0.252881i | −0.991974 | − | 0.126441i | \(-0.959645\pi\) | ||
0.991974 | − | 0.126441i | \(-0.0403553\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.44322 | 0.920460 | ||||||||
\(50\) | 1.48511 | − | 6.91335i | 0.210026 | − | 0.977696i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.04502 | − | 5.48133i | −0.283593 | − | 0.760124i | ||||
\(53\) | −7.72161 | −1.06064 | −0.530322 | − | 0.847796i | \(-0.677929\pi\) | ||||
−0.530322 | + | 0.847796i | \(0.677929\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.64681 | + | 9.97518i | −0.896255 | + | 1.34505i | ||||
\(56\) | 2.04502 | + | 0.521653i | 0.273277 | + | 0.0697089i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.44322 | + | 7.84052i | −0.714730 | + | 1.02951i | ||||
\(59\) | − | 6.85302i | − | 0.892188i | −0.894986 | − | 0.446094i | \(-0.852815\pi\) | ||
0.894986 | − | 0.446094i | \(-0.147185\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.45203i | 0.826098i | 0.910709 | + | 0.413049i | \(0.135536\pi\) | ||||
−0.910709 | + | 0.413049i | \(0.864464\pi\) | |||||||
\(62\) | −3.07480 | − | 2.13466i | −0.390500 | − | 0.271102i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.02251 | − | 3.83202i | −0.877813 | − | 0.479003i | ||||
\(65\) | −5.44322 | − | 3.62701i | −0.675149 | − | 0.449875i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.44322 | −0.909334 | −0.454667 | − | 0.890661i | \(-0.650242\pi\) | ||||
−0.454667 | + | 0.890661i | \(0.650242\pi\) | |||||||
\(68\) | 4.00000 | − | 1.49235i | 0.485071 | − | 0.180974i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.19462 | − | 0.866833i | 0.262308 | − | 0.103606i | ||||
\(71\) | −13.2936 | −1.57766 | −0.788831 | − | 0.614610i | \(-0.789313\pi\) | ||||
−0.788831 | + | 0.614610i | \(0.789313\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.690358i | 0.0808003i | 0.999184 | + | 0.0404002i | \(0.0128633\pi\) | ||||
−0.999184 | + | 0.0404002i | \(0.987137\pi\) | |||||||
\(74\) | 1.24860 | + | 0.866833i | 0.145147 | + | 0.100767i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.24860 | + | 1.21201i | −0.372640 | + | 0.139027i | ||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.64681 | −0.297789 | −0.148895 | − | 0.988853i | \(-0.547572\pi\) | ||||
−0.148895 | + | 0.988853i | \(0.547572\pi\) | |||||||
\(80\) | −8.87290 | + | 1.12766i | −0.992021 | + | 0.126076i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −13.1198 | − | 9.10834i | −1.44884 | − | 1.00585i | ||||
\(83\) | 5.85039 | 0.642164 | 0.321082 | − | 0.947051i | \(-0.395953\pi\) | ||||
0.321082 | + | 0.947051i | \(0.395953\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.64681 | − | 3.97219i | 0.287087 | − | 0.430844i | ||||
\(86\) | −8.64681 | − | 6.00299i | −0.932409 | − | 0.647319i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 14.6918 | + | 3.74767i | 1.56615 | + | 0.399503i | ||||
\(89\) | 7.59283 | 0.804838 | 0.402419 | − | 0.915456i | \(-0.368169\pi\) | ||||
0.402419 | + | 0.915456i | \(0.368169\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 2.18271i | − | 0.228810i | ||||||
\(92\) | −14.0450 | + | 5.24002i | −1.46429 | + | 0.546310i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.39821 | + | 2.01400i | −0.144214 | + | 0.207729i | ||||
\(95\) | −2.14961 | + | 3.22601i | −0.220545 | + | 0.330982i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 14.1887i | − | 1.44064i | −0.693641 | − | 0.720321i | \(-0.743994\pi\) | ||
0.693641 | − | 0.720321i | \(-0.256006\pi\) | |||||||
\(98\) | −7.48511 | − | 5.19648i | −0.756110 | − | 0.524924i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.30090 | + | 6.83351i | −0.730090 | + | 0.683351i | ||||
\(101\) | − | 7.43952i | − | 0.740260i | −0.928980 | − | 0.370130i | \(-0.879313\pi\) | ||
0.928980 | − | 0.370130i | \(-0.120687\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 7.19820i | − | 0.709260i | −0.935007 | − | 0.354630i | \(-0.884607\pi\) | ||
0.935007 | − | 0.354630i | \(-0.115393\pi\) | |||||||
\(104\) | −2.04502 | + | 8.01699i | −0.200530 | + | 0.786131i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.97021 | + | 6.22751i | 0.871264 | + | 0.604869i | ||||
\(107\) | 4.00000 | 0.386695 | 0.193347 | − | 0.981130i | \(-0.438066\pi\) | ||||
0.193347 | + | 0.981130i | \(0.438066\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 19.9504i | − | 1.91090i | −0.295158 | − | 0.955449i | \(-0.595372\pi\) | ||
0.295158 | − | 0.955449i | \(-0.404628\pi\) | |||||||
\(110\) | 15.7666 | − | 6.22751i | 1.50329 | − | 0.593770i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.95498 | − | 2.25532i | −0.184729 | − | 0.213108i | ||||
\(113\) | 12.0540i | 1.13395i | 0.823736 | + | 0.566973i | \(0.191886\pi\) | ||||
−0.823736 | + | 0.566973i | \(0.808114\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.29362 | + | 13.9474i | −0.866634 | + | 1.30060i | ||||
\(116\) | 12.6468 | − | 4.71836i | 1.17423 | − | 0.438089i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.52699 | + | 7.96117i | −0.508801 | + | 0.732885i | ||||
\(119\) | 1.59283 | 0.146014 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −17.7368 | −1.61244 | ||||||||
\(122\) | 5.20359 | − | 7.49534i | 0.471110 | − | 0.678596i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.85039 | + | 4.95968i | 0.166170 | + | 0.445392i | ||||
\(125\) | −2.13919 | + | 10.9738i | −0.191335 | + | 0.981525i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 4.21351i | − | 0.373888i | −0.982371 | − | 0.186944i | \(-0.940142\pi\) | ||
0.982371 | − | 0.186944i | \(-0.0598583\pi\) | |||||||
\(128\) | 5.06752 | + | 10.1153i | 0.447910 | + | 0.894079i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.39821 | + | 8.60348i | 0.298043 | + | 0.754576i | ||||
\(131\) | 10.3204i | 0.901694i | 0.892601 | + | 0.450847i | \(0.148878\pi\) | ||||
−0.892601 | + | 0.450847i | \(0.851122\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.29362 | −0.112171 | ||||||||
\(134\) | 8.64681 | + | 6.00299i | 0.746970 | + | 0.518579i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.85039 | − | 1.49235i | −0.501667 | − | 0.127968i | ||||
\(137\) | − | 15.0387i | − | 1.28484i | −0.766351 | − | 0.642422i | \(-0.777930\pi\) | ||
0.766351 | − | 0.642422i | \(-0.222070\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 9.47032i | − | 0.803262i | −0.915802 | − | 0.401631i | \(-0.868443\pi\) | ||
0.915802 | − | 0.401631i | \(-0.131557\pi\) | |||||||
\(140\) | −3.24860 | − | 0.762970i | −0.274557 | − | 0.0644827i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 15.4432 | + | 10.7214i | 1.29597 | + | 0.899716i | ||||
\(143\) | − | 15.6810i | − | 1.31131i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.36842 | − | 12.5589i | 0.694959 | − | 1.04296i | ||||
\(146\) | 0.556777 | − | 0.801991i | 0.0460792 | − | 0.0663732i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.751399 | − | 2.01400i | −0.0617646 | − | 0.165550i | ||||
\(149\) | − | 1.78948i | − | 0.146600i | −0.997310 | − | 0.0733000i | \(-0.976647\pi\) | ||
0.997310 | − | 0.0733000i | \(-0.0233531\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.6468 | 0.866425 | 0.433212 | − | 0.901292i | \(-0.357380\pi\) | ||||
0.433212 | + | 0.901292i | \(0.357380\pi\) | |||||||
\(152\) | 4.75140 | + | 1.21201i | 0.385389 | + | 0.0983071i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.64681 | + | 3.22601i | 0.374451 | + | 0.259960i | ||||
\(155\) | 4.92520 | + | 3.28183i | 0.395601 | + | 0.263603i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.92520 | 0.552691 | 0.276345 | − | 0.961058i | \(-0.410877\pi\) | ||||
0.276345 | + | 0.961058i | \(0.410877\pi\) | |||||||
\(158\) | 3.07480 | + | 2.13466i | 0.244618 | + | 0.169824i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 11.2171 | + | 5.84602i | 0.886792 | + | 0.462169i | ||||
\(161\) | −5.59283 | −0.440777 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.70079 | 0.603172 | 0.301586 | − | 0.953439i | \(-0.402484\pi\) | ||||
0.301586 | + | 0.953439i | \(0.402484\pi\) | |||||||
\(164\) | 7.89541 | + | 21.1624i | 0.616528 | + | 1.65250i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.79641 | − | 4.71836i | −0.527504 | − | 0.366216i | ||||
\(167\) | 3.22601i | 0.249637i | 0.992180 | + | 0.124818i | \(0.0398348\pi\) | ||||
−0.992180 | + | 0.124818i | \(0.960165\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.44322 | −0.341786 | ||||||||
\(170\) | −6.27839 | + | 2.47984i | −0.481530 | + | 0.190195i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.20359 | + | 13.9474i | 0.396770 | + | 1.06348i | ||||
\(173\) | 6.42799 | 0.488711 | 0.244356 | − | 0.969686i | \(-0.421424\pi\) | ||||
0.244356 | + | 0.969686i | \(0.421424\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.44322 | + | 1.43653i | −0.260283 | + | 0.108592i | ||||
\(176\) | −14.0450 | − | 16.2027i | −1.05868 | − | 1.22132i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.82061 | − | 6.12364i | −0.661132 | − | 0.458987i | ||||
\(179\) | − | 8.13765i | − | 0.608236i | −0.952634 | − | 0.304118i | \(-0.901638\pi\) | ||
0.952634 | − | 0.304118i | \(-0.0983618\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.49235i | 0.110925i | 0.998461 | + | 0.0554627i | \(0.0176634\pi\) | ||||
−0.998461 | + | 0.0554627i | \(0.982337\pi\) | |||||||
\(182\) | −1.76036 | + | 2.53566i | −0.130487 | + | 0.187955i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 20.5422 | + | 5.24002i | 1.51439 | + | 0.386299i | ||||
\(185\) | −2.00000 | − | 1.33267i | −0.147043 | − | 0.0979798i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.4432 | 0.836811 | ||||||||
\(188\) | 3.24860 | − | 1.21201i | 0.236929 | − | 0.0883951i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.09899 | − | 2.01400i | 0.369920 | − | 0.146111i | ||||
\(191\) | −6.88645 | −0.498286 | −0.249143 | − | 0.968467i | \(-0.580149\pi\) | ||||
−0.249143 | + | 0.968467i | \(0.580149\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.4830i | 1.18647i | 0.805028 | + | 0.593237i | \(0.202150\pi\) | ||||
−0.805028 | + | 0.593237i | \(0.797850\pi\) | |||||||
\(194\) | −11.4432 | + | 16.4830i | −0.821576 | + | 1.18341i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.50448 | + | 12.0735i | 0.321749 | + | 0.862395i | ||||
\(197\) | 13.5720 | 0.966965 | 0.483483 | − | 0.875354i | \(-0.339372\pi\) | ||||
0.483483 | + | 0.875354i | \(0.339372\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.05398 | −0.641820 | −0.320910 | − | 0.947110i | \(-0.603989\pi\) | ||||
−0.320910 | + | 0.947110i | \(0.603989\pi\) | |||||||
\(200\) | 13.9927 | − | 2.05031i | 0.989435 | − | 0.144979i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.00000 | + | 8.64251i | −0.422159 | + | 0.608085i | ||||
\(203\) | 5.03605 | 0.353462 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 21.0152 | + | 14.0032i | 1.46777 | + | 0.978025i | ||||
\(206\) | −5.80538 | + | 8.36217i | −0.404480 | + | 0.582620i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 8.84143 | − | 7.66404i | 0.613043 | − | 0.531406i | ||||
\(209\) | −9.29362 | −0.642853 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 2.53566i | − | 0.174562i | −0.996184 | − | 0.0872809i | \(-0.972182\pi\) | ||
0.996184 | − | 0.0872809i | \(-0.0278178\pi\) | |||||||
\(212\) | −5.39821 | − | 14.4690i | −0.370750 | − | 0.993736i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.64681 | − | 3.22601i | −0.317649 | − | 0.220526i | ||||
\(215\) | 13.8504 | + | 9.22900i | 0.944589 | + | 0.629413i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.97498i | 0.134070i | ||||||||
\(218\) | −16.0900 | + | 23.1764i | −1.08975 | + | 1.56970i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −23.3386 | − | 5.48133i | −1.57349 | − | 0.369551i | ||||
\(221\) | 6.24430i | 0.420037i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 12.1579i | − | 0.814152i | −0.913394 | − | 0.407076i | \(-0.866548\pi\) | ||
0.913394 | − | 0.407076i | \(-0.133452\pi\) | |||||||
\(224\) | 0.452186 | + | 4.19671i | 0.0302130 | + | 0.280405i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.72161 | − | 14.0032i | 0.646672 | − | 0.931478i | ||||
\(227\) | −20.7368 | −1.37635 | −0.688176 | − | 0.725544i | \(-0.741588\pi\) | ||||
−0.688176 | + | 0.725544i | \(0.741588\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.9504i | 1.31836i | 0.751987 | + | 0.659178i | \(0.229096\pi\) | ||||
−0.751987 | + | 0.659178i | \(0.770904\pi\) | |||||||
\(230\) | 22.0450 | − | 8.70735i | 1.45361 | − | 0.574146i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −18.4972 | − | 4.71836i | −1.21440 | − | 0.309776i | ||||
\(233\) | − | 13.3386i | − | 0.873844i | −0.899499 | − | 0.436922i | \(-0.856069\pi\) | ||
0.899499 | − | 0.436922i | \(-0.143931\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.14961 | − | 3.22601i | 0.140225 | − | 0.210442i | ||||
\(236\) | 12.8414 | − | 4.79097i | 0.835906 | − | 0.311866i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.85039 | − | 1.28462i | −0.119943 | − | 0.0832697i | ||||
\(239\) | 22.8864 | 1.48040 | 0.740201 | − | 0.672386i | \(-0.234731\pi\) | ||||
0.740201 | + | 0.672386i | \(0.234731\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.59283 | 0.231435 | 0.115717 | − | 0.993282i | \(-0.463083\pi\) | ||||
0.115717 | + | 0.993282i | \(0.463083\pi\) | |||||||
\(242\) | 20.6049 | + | 14.3048i | 1.32453 | + | 0.919549i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.0900 | + | 4.51064i | −0.773985 | + | 0.288764i | ||||
\(245\) | 11.9896 | + | 7.98908i | 0.765987 | + | 0.510404i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 5.07131i | − | 0.322680i | ||||||
\(248\) | 1.85039 | − | 7.25402i | 0.117500 | − | 0.460631i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.3355 | − | 11.0230i | 0.716920 | − | 0.697155i | ||||
\(251\) | − | 8.82801i | − | 0.557219i | −0.960404 | − | 0.278609i | \(-0.910127\pi\) | ||
0.960404 | − | 0.278609i | \(-0.0898735\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −40.1801 | −2.52610 | ||||||||
\(254\) | −3.39821 | + | 4.89484i | −0.213222 | + | 0.307129i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.27111 | − | 15.8380i | 0.141944 | − | 0.989875i | ||||
\(257\) | 22.2927i | 1.39058i | 0.718728 | + | 0.695291i | \(0.244725\pi\) | ||||
−0.718728 | + | 0.695291i | \(0.755275\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 0.801991i | − | 0.0498333i | ||||||
\(260\) | 2.99104 | − | 12.7354i | 0.185496 | − | 0.789813i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.32340 | − | 11.9892i | 0.514222 | − | 0.740694i | ||||
\(263\) | − | 21.2014i | − | 1.30733i | −0.756783 | − | 0.653667i | \(-0.773230\pi\) | ||
0.756783 | − | 0.653667i | \(-0.226770\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.3684 | − | 9.57418i | −0.882645 | − | 0.588137i | ||||
\(266\) | 1.50280 | + | 1.04331i | 0.0921424 | + | 0.0639693i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.20359 | − | 13.9474i | −0.317860 | − | 0.851971i | ||||
\(269\) | − | 14.6935i | − | 0.895881i | −0.894063 | − | 0.447940i | \(-0.852158\pi\) | ||
0.894063 | − | 0.447940i | \(-0.147842\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.2396 | −1.22947 | −0.614735 | − | 0.788734i | \(-0.710737\pi\) | ||||
−0.614735 | + | 0.788734i | \(0.710737\pi\) | |||||||
\(272\) | 5.59283 | + | 6.45203i | 0.339115 | + | 0.391212i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.1288 | + | 17.4705i | −0.732727 | + | 1.05543i | ||||
\(275\) | −24.7368 | + | 10.3204i | −1.49169 | + | 0.622341i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.518027 | 0.0311252 | 0.0155626 | − | 0.999879i | \(-0.495046\pi\) | ||||
0.0155626 | + | 0.999879i | \(0.495046\pi\) | |||||||
\(278\) | −7.63785 | + | 11.0017i | −0.458088 | + | 0.659837i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.15857 | + | 3.50635i | 0.188761 | + | 0.209545i | ||||
\(281\) | −13.7008 | −0.817320 | −0.408660 | − | 0.912687i | \(-0.634004\pi\) | ||||
−0.408660 | + | 0.912687i | \(0.634004\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.0305 | 1.07180 | 0.535900 | − | 0.844282i | \(-0.319973\pi\) | ||||
0.535900 | + | 0.844282i | \(0.319973\pi\) | |||||||
\(284\) | −9.29362 | − | 24.9100i | −0.551475 | − | 1.47814i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −12.6468 | + | 18.2167i | −0.747821 | + | 1.07718i | ||||
\(287\) | 8.42701i | 0.497431i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.4432 | 0.731954 | ||||||||
\(290\) | −19.8504 | + | 7.84052i | −1.16566 | + | 0.460411i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.29362 | + | 0.482632i | −0.0757032 | + | 0.0282439i | ||||
\(293\) | −15.9792 | −0.933513 | −0.466757 | − | 0.884386i | \(-0.654578\pi\) | ||||
−0.466757 | + | 0.884386i | \(0.654578\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.49720 | − | 12.7521i | 0.494726 | − | 0.742459i | ||||
\(296\) | −0.751399 | + | 2.94568i | −0.0436742 | + | 0.171214i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.44322 | + | 2.07884i | −0.0836037 | + | 0.120424i | ||||
\(299\) | − | 21.9253i | − | 1.26797i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.55394i | 0.320124i | ||||||||
\(302\) | −12.3684 | − | 8.58669i | −0.711723 | − | 0.494108i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.54222 | − | 5.24002i | −0.260514 | − | 0.300536i | ||||
\(305\) | −8.00000 | + | 12.0060i | −0.458079 | + | 0.687460i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.5872 | −1.28912 | −0.644561 | − | 0.764553i | \(-0.722960\pi\) | ||||
−0.644561 | + | 0.764553i | \(0.722960\pi\) | |||||||
\(308\) | −2.79641 | − | 7.49534i | −0.159341 | − | 0.427086i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.07480 | − | 7.78470i | −0.174637 | − | 0.442141i | ||||
\(311\) | 18.5872 | 1.05399 | 0.526993 | − | 0.849870i | \(-0.323320\pi\) | ||||
0.526993 | + | 0.849870i | \(0.323320\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 29.3871i | 1.66106i | 0.556977 | + | 0.830528i | \(0.311961\pi\) | ||||
−0.556977 | + | 0.830528i | \(0.688039\pi\) | |||||||
\(314\) | −8.04502 | − | 5.58520i | −0.454007 | − | 0.315191i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.85039 | − | 4.95968i | −0.104093 | − | 0.279004i | ||||
\(317\) | 5.57201 | 0.312955 | 0.156478 | − | 0.987682i | \(-0.449986\pi\) | ||||
0.156478 | + | 0.987682i | \(0.449986\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 36.1801 | 2.02569 | ||||||||
\(320\) | −8.31613 | − | 15.8380i | −0.464886 | − | 0.885371i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.49720 | + | 4.51064i | 0.362075 | + | 0.251368i | ||||
\(323\) | 3.70079 | 0.205917 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.63158 | − | 13.4983i | −0.312384 | − | 0.748752i | ||||
\(326\) | −8.94602 | − | 6.21071i | −0.495474 | − | 0.343980i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.89541 | − | 30.9520i | 0.435951 | − | 1.70904i | ||||
\(329\) | 1.29362 | 0.0713194 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 13.7396i | − | 0.755199i | −0.925969 | − | 0.377599i | \(-0.876750\pi\) | ||
0.925969 | − | 0.377599i | \(-0.123250\pi\) | |||||||
\(332\) | 4.09003 | + | 10.9627i | 0.224470 | + | 0.601655i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.60179 | − | 3.74767i | 0.142364 | − | 0.205063i | ||||
\(335\) | −13.8504 | − | 9.22900i | −0.756728 | − | 0.504234i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.7523i | 1.13045i | 0.824936 | + | 0.565226i | \(0.191211\pi\) | ||||
−0.824936 | + | 0.565226i | \(0.808789\pi\) | |||||||
\(338\) | 5.16170 | + | 3.58348i | 0.280760 | + | 0.194915i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.29362 | + | 2.18271i | 0.504017 | + | 0.118374i | ||||
\(341\) | 14.1887i | 0.768360i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0310i | 0.541623i | ||||||||
\(344\) | 5.20359 | − | 20.3994i | 0.280559 | − | 1.09986i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.46742 | − | 5.18420i | −0.401451 | − | 0.278704i | ||||
\(347\) | 4.73684 | 0.254287 | 0.127143 | − | 0.991884i | \(-0.459419\pi\) | ||||
0.127143 | + | 0.991884i | \(0.459419\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.482632i | 0.0258347i | 0.999917 | + | 0.0129174i | \(0.00411184\pi\) | ||||
−0.999917 | + | 0.0129174i | \(0.995888\pi\) | |||||||
\(350\) | 5.15857 | + | 1.10815i | 0.275737 | + | 0.0592330i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.24860 | + | 30.1500i | 0.173151 | + | 1.60700i | ||||
\(353\) | − | 2.13466i | − | 0.113617i | −0.998385 | − | 0.0568083i | \(-0.981908\pi\) | ||
0.998385 | − | 0.0568083i | \(-0.0180924\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −24.7368 | − | 16.4830i | −1.31290 | − | 0.874828i | ||||
\(356\) | 5.30818 | + | 14.2277i | 0.281333 | + | 0.754067i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.56304 | + | 9.45352i | −0.346868 | + | 0.499634i | ||||
\(359\) | −9.59283 | −0.506290 | −0.253145 | − | 0.967428i | \(-0.581465\pi\) | ||||
−0.253145 | + | 0.967428i | \(0.581465\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.9944 | 0.841811 | ||||||||
\(362\) | 1.20359 | − | 1.73367i | 0.0632590 | − | 0.0911194i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.09003 | − | 1.52594i | 0.214376 | − | 0.0799809i | ||||
\(365\) | −0.855989 | + | 1.28462i | −0.0448045 | + | 0.0672402i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 34.0832i | 1.77913i | 0.456809 | + | 0.889565i | \(0.348992\pi\) | ||||
−0.456809 | + | 0.889565i | \(0.651008\pi\) | |||||||
\(368\) | −19.6378 | − | 22.6547i | −1.02369 | − | 1.18096i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.24860 | + | 3.16117i | 0.0649117 | + | 0.164342i | ||||
\(371\) | − | 5.76167i | − | 0.299131i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.33796 | 0.224611 | 0.112306 | − | 0.993674i | \(-0.464176\pi\) | ||||
0.112306 | + | 0.993674i | \(0.464176\pi\) | |||||||
\(374\) | −13.2936 | − | 9.22900i | −0.687397 | − | 0.477220i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.75140 | − | 1.21201i | −0.245035 | − | 0.0625047i | ||||
\(377\) | 19.7426i | 1.01680i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 6.90107i | − | 0.354484i | −0.984167 | − | 0.177242i | \(-0.943282\pi\) | ||
0.984167 | − | 0.177242i | \(-0.0567176\pi\) | |||||||
\(380\) | −7.54781 | − | 1.77269i | −0.387195 | − | 0.0909369i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.00000 | + | 5.55394i | 0.409316 | + | 0.284165i | ||||
\(383\) | 22.3744i | 1.14328i | 0.820506 | + | 0.571639i | \(0.193692\pi\) | ||||
−0.820506 | + | 0.571639i | \(0.806308\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.44322 | − | 4.95968i | −0.379342 | − | 0.252769i | ||||
\(386\) | 13.2936 | − | 19.1484i | 0.676627 | − | 0.974626i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 26.5872 | − | 9.91936i | 1.34976 | − | 0.503579i | ||||
\(389\) | 11.0185i | 0.558659i | 0.960195 | + | 0.279330i | \(0.0901122\pi\) | ||||
−0.960195 | + | 0.279330i | \(0.909888\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | 4.50448 | − | 17.6587i | 0.227511 | − | 0.891900i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.7666 | − | 10.9459i | −0.794311 | − | 0.551445i | ||||
\(395\) | −4.92520 | − | 3.28183i | −0.247814 | − | 0.165127i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 25.2549 | 1.26751 | 0.633753 | − | 0.773536i | \(-0.281514\pi\) | ||||
0.633753 | + | 0.773536i | \(0.281514\pi\) | |||||||
\(398\) | 10.5180 | + | 7.30207i | 0.527221 | + | 0.366020i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.9090 | − | 8.90333i | −0.895448 | − | 0.445167i | ||||
\(401\) | −7.29362 | −0.364226 | −0.182113 | − | 0.983278i | \(-0.558294\pi\) | ||||
−0.182113 | + | 0.983278i | \(0.558294\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.74244 | −0.385678 | ||||||||
\(404\) | 13.9404 | − | 5.20100i | 0.693562 | − | 0.258759i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.85039 | − | 4.06160i | −0.290350 | − | 0.201574i | ||||
\(407\) | − | 5.76167i | − | 0.285595i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.8504 | −0.783752 | −0.391876 | − | 0.920018i | \(-0.628174\pi\) | ||||
−0.391876 | + | 0.920018i | \(0.628174\pi\) | |||||||
\(410\) | −13.1198 | − | 33.2164i | −0.647942 | − | 1.64044i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.4882 | − | 5.03229i | 0.664518 | − | 0.247923i | ||||
\(413\) | 5.11355 | 0.251622 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.8864 | + | 7.25402i | 0.534395 | + | 0.356086i | ||||
\(416\) | −16.4522 | + | 1.77269i | −0.806635 | + | 0.0869131i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 10.7964 | + | 7.49534i | 0.528070 | + | 0.366609i | ||||
\(419\) | 8.02602i | 0.392097i | 0.980594 | + | 0.196048i | \(0.0628109\pi\) | ||||
−0.980594 | + | 0.196048i | \(0.937189\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 22.9351i | − | 1.11779i | −0.829240 | − | 0.558893i | \(-0.811226\pi\) | ||
0.829240 | − | 0.558893i | \(-0.188774\pi\) | |||||||
\(422\) | −2.04502 | + | 2.94568i | −0.0995498 | + | 0.143393i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.39821 | + | 21.1624i | −0.262160 | + | 1.02774i | ||||
\(425\) | 9.85039 | − | 4.10964i | 0.477814 | − | 0.199347i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.81434 | −0.232982 | ||||||||
\(428\) | 2.79641 | + | 7.49534i | 0.135170 | + | 0.362301i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.64681 | − | 21.8917i | −0.416986 | − | 1.05571i | ||||
\(431\) | 35.0665 | 1.68909 | 0.844547 | − | 0.535481i | \(-0.179870\pi\) | ||||
0.844547 | + | 0.535481i | \(0.179870\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 17.0773i | − | 0.820682i | −0.911932 | − | 0.410341i | \(-0.865410\pi\) | ||
0.911932 | − | 0.410341i | \(-0.134590\pi\) | |||||||
\(434\) | 1.59283 | − | 2.29434i | 0.0764583 | − | 0.110132i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 37.3836 | − | 13.9474i | 1.79035 | − | 0.667958i | ||||
\(437\) | −12.9944 | −0.621607 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.53885 | −0.407537 | −0.203769 | − | 0.979019i | \(-0.565319\pi\) | ||||
−0.203769 | + | 0.979019i | \(0.565319\pi\) | |||||||
\(440\) | 22.6918 | + | 25.1904i | 1.08179 | + | 1.20090i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.03605 | − | 7.25402i | 0.239541 | − | 0.345039i | ||||
\(443\) | 20.7368 | 0.985237 | 0.492619 | − | 0.870245i | \(-0.336040\pi\) | ||||
0.492619 | + | 0.870245i | \(0.336040\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.1288 | + | 9.41450i | 0.669769 | + | 0.446290i | ||||
\(446\) | −9.80538 | + | 14.1238i | −0.464298 | + | 0.668783i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.85936 | − | 5.24002i | 0.135092 | − | 0.247568i | ||||
\(449\) | −2.00000 | −0.0943858 | −0.0471929 | − | 0.998886i | \(-0.515028\pi\) | ||||
−0.0471929 | + | 0.998886i | \(0.515028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 60.5414i | 2.85078i | ||||||||
\(452\) | −22.5872 | + | 8.42701i | −1.06241 | + | 0.396373i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 24.0900 | + | 16.7243i | 1.13060 | + | 0.784912i | ||||
\(455\) | 2.70638 | − | 4.06160i | 0.126877 | − | 0.190411i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.28462i | 0.0600921i | 0.999549 | + | 0.0300461i | \(0.00956540\pi\) | ||||
−0.999549 | + | 0.0300461i | \(0.990435\pi\) | |||||||
\(458\) | 16.0900 | − | 23.1764i | 0.751838 | − | 1.08296i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −32.6323 | − | 7.66404i | −1.52149 | − | 0.357338i | ||||
\(461\) | 15.7033i | 0.731374i | 0.930738 | + | 0.365687i | \(0.119166\pi\) | ||||
−0.930738 | + | 0.365687i | \(0.880834\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.7215i | − | 0.870064i | −0.900415 | − | 0.435032i | \(-0.856737\pi\) | ||
0.900415 | − | 0.435032i | \(-0.143263\pi\) | |||||||
\(464\) | 17.6829 | + | 20.3994i | 0.820906 | + | 0.947018i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.7577 | + | 15.4955i | −0.498339 | + | 0.717817i | ||||
\(467\) | 2.14961 | 0.0994719 | 0.0497360 | − | 0.998762i | \(-0.484162\pi\) | ||||
0.0497360 | + | 0.998762i | \(0.484162\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 5.55394i | − | 0.256457i | ||||||
\(470\) | −5.09899 | + | 2.01400i | −0.235199 | + | 0.0928990i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.7819 | − | 4.79097i | −0.864505 | − | 0.220522i | ||||
\(473\) | 39.9007i | 1.83464i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.00000 | + | 3.33765i | −0.367065 | + | 0.153142i | ||||
\(476\) | 1.11355 | + | 2.98470i | 0.0510396 | + | 0.136803i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −26.5872 | − | 18.4580i | −1.21607 | − | 0.844249i | ||||
\(479\) | −12.1801 | −0.556521 | −0.278261 | − | 0.960506i | \(-0.589758\pi\) | ||||
−0.278261 | + | 0.960506i | \(0.589758\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.14401 | 0.143355 | ||||||||
\(482\) | −4.17380 | − | 2.89763i | −0.190111 | − | 0.131983i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.3999 | − | 33.2359i | −0.563631 | − | 1.51072i | ||||
\(485\) | 17.5928 | − | 26.4024i | 0.798849 | − | 1.19887i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 25.7678i | 1.16765i | 0.811879 | + | 0.583826i | \(0.198445\pi\) | ||||
−0.811879 | + | 0.583826i | \(0.801555\pi\) | |||||||
\(488\) | 17.6829 | + | 4.51064i | 0.800466 | + | 0.204187i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.48511 | − | 18.9506i | −0.338143 | − | 0.856100i | ||||
\(491\) | − | 16.7724i | − | 0.756927i | −0.925616 | − | 0.378464i | \(-0.876453\pi\) | ||
0.925616 | − | 0.378464i | \(-0.123547\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.4072 | −0.648866 | ||||||||
\(494\) | −4.09003 | + | 5.89135i | −0.184019 | + | 0.265065i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | + | 6.93466i | −0.359211 | + | 0.311375i | ||||
\(497\) | − | 9.91936i | − | 0.444944i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.6224i | 0.788888i | 0.918920 | + | 0.394444i | \(0.129063\pi\) | ||||
−0.918920 | + | 0.394444i | \(0.870937\pi\) | |||||||
\(500\) | −22.0586 | + | 3.66332i | −0.986489 | + | 0.163828i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.11982 | + | 10.2555i | −0.317773 | + | 0.457726i | ||||
\(503\) | − | 27.1263i | − | 1.20950i | −0.796414 | − | 0.604752i | \(-0.793272\pi\) | ||
0.796414 | − | 0.604752i | \(-0.206728\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.22441 | − | 13.8435i | 0.410481 | − | 0.616028i | ||||
\(506\) | 46.6773 | + | 32.4054i | 2.07506 | + | 1.44059i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.89541 | − | 2.94568i | 0.350302 | − | 0.130693i | ||||
\(509\) | 15.9782i | 0.708220i | 0.935204 | + | 0.354110i | \(0.115216\pi\) | ||||
−0.935204 | + | 0.354110i | \(0.884784\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.515128 | −0.0227879 | ||||||||
\(512\) | −15.4118 | + | 16.5674i | −0.681110 | + | 0.732181i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.9792 | − | 25.8975i | 0.793027 | − | 1.14229i | ||||
\(515\) | 8.92520 | − | 13.3945i | 0.393291 | − | 0.590230i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.29362 | 0.408733 | ||||||||
\(518\) | −0.646809 | + | 0.931674i | −0.0284191 | + | 0.0409354i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −13.7458 | + | 12.3824i | −0.602793 | + | 0.543004i | ||||
\(521\) | −0.886447 | −0.0388359 | −0.0194180 | − | 0.999811i | \(-0.506181\pi\) | ||||
−0.0194180 | + | 0.999811i | \(0.506181\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 41.7729 | 1.82660 | 0.913301 | − | 0.407286i | \(-0.133525\pi\) | ||||
0.913301 | + | 0.407286i | \(0.133525\pi\) | |||||||
\(524\) | −19.3386 | + | 7.21500i | −0.844812 | + | 0.315189i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.0990 | + | 24.6297i | −0.745552 | + | 1.07391i | ||||
\(527\) | − | 5.65004i | − | 0.246120i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −33.1801 | −1.44261 | ||||||||
\(530\) | 8.97021 | + | 22.7105i | 0.389641 | + | 0.986482i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.904373 | − | 2.42402i | −0.0392095 | − | 0.105095i | ||||
\(533\) | −33.0361 | −1.43095 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.44322 | + | 4.95968i | 0.321799 | + | 0.214426i | ||||
\(536\) | −5.20359 | + | 20.3994i | −0.224761 | + | 0.881120i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.8504 | + | 17.0695i | −0.510907 | + | 0.735919i | ||||
\(539\) | 34.5400i | 1.48774i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.47705i | 0.192483i | 0.995358 | + | 0.0962417i | \(0.0306822\pi\) | ||||
−0.995358 | + | 0.0962417i | \(0.969318\pi\) | |||||||
\(542\) | 23.5124 | + | 16.3233i | 1.00995 | + | 0.701148i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.29362 | − | 12.0060i | −0.0554634 | − | 0.514752i | ||||
\(545\) | 24.7368 | − | 37.1237i | 1.05961 | − | 1.59021i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.3297 | −0.612692 | −0.306346 | − | 0.951920i | \(-0.599107\pi\) | ||||
−0.306346 | + | 0.951920i | \(0.599107\pi\) | |||||||
\(548\) | 28.1801 | − | 10.5136i | 1.20379 | − | 0.449120i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 37.0602 | + | 7.96117i | 1.58025 | + | 0.339466i | ||||
\(551\) | 11.7008 | 0.498470 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 1.97498i | − | 0.0839848i | ||||||
\(554\) | −0.601793 | − | 0.417790i | −0.0255677 | − | 0.0177502i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.7458 | − | 6.62073i | 0.752590 | − | 0.280782i | ||||
\(557\) | −2.68556 | −0.113791 | −0.0568954 | − | 0.998380i | \(-0.518120\pi\) | ||||
−0.0568954 | + | 0.998380i | \(0.518120\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −21.7729 | −0.920895 | ||||||||
\(560\) | −0.841431 | − | 6.62073i | −0.0355569 | − | 0.279777i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.9162 | + | 11.0497i | 0.671386 | + | 0.466105i | ||||
\(563\) | −20.7368 | −0.873954 | −0.436977 | − | 0.899473i | \(-0.643951\pi\) | ||||
−0.436977 | + | 0.899473i | \(0.643951\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.9460 | + | 22.4302i | −0.628784 | + | 0.943645i | ||||
\(566\) | −20.9460 | − | 14.5416i | −0.880427 | − | 0.611230i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.29362 | + | 36.4334i | −0.389952 | + | 1.52871i | ||||
\(569\) | 4.40717 | 0.184758 | 0.0923791 | − | 0.995724i | \(-0.470553\pi\) | ||||
0.0923791 | + | 0.995724i | \(0.470553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 23.6590i | − | 0.990098i | −0.868865 | − | 0.495049i | \(-0.835150\pi\) | ||
0.868865 | − | 0.495049i | \(-0.164850\pi\) | |||||||
\(572\) | 29.3836 | − | 10.9627i | 1.22859 | − | 0.458372i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.79641 | − | 9.78968i | 0.283677 | − | 0.408613i | ||||
\(575\) | −34.5872 | + | 14.4300i | −1.44239 | + | 0.601772i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 6.56366i | − | 0.273249i | −0.990623 | − | 0.136624i | \(-0.956375\pi\) | ||
0.990623 | − | 0.136624i | \(-0.0436253\pi\) | |||||||
\(578\) | −14.4553 | − | 10.0355i | −0.601262 | − | 0.417422i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 29.3836 | + | 6.90107i | 1.22009 | + | 0.286551i | ||||
\(581\) | 4.36542i | 0.181108i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 41.3931i | − | 1.71433i | ||||||
\(584\) | 1.89204 | + | 0.482632i | 0.0782933 | + | 0.0199715i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.5630 | + | 12.8873i | 0.766832 | + | 0.532368i | ||||
\(587\) | 16.2992 | 0.672741 | 0.336370 | − | 0.941730i | \(-0.390801\pi\) | ||||
0.336370 | + | 0.941730i | \(0.390801\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.58868i | 0.189073i | ||||||||
\(590\) | −20.1559 | + | 7.96117i | −0.829804 | + | 0.327756i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.24860 | − | 2.81599i | 0.133517 | − | 0.115737i | ||||
\(593\) | − | 16.3233i | − | 0.670319i | −0.942161 | − | 0.335160i | \(-0.891210\pi\) | ||
0.942161 | − | 0.335160i | \(-0.108790\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.96395 | + | 1.97498i | 0.121510 | + | 0.0809663i | ||||
\(596\) | 3.35319 | − | 1.25103i | 0.137352 | − | 0.0512443i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −17.6829 | + | 25.4707i | −0.723106 | + | 1.04157i | ||||
\(599\) | −25.5928 | −1.04569 | −0.522847 | − | 0.852426i | \(-0.675130\pi\) | ||||
−0.522847 | + | 0.852426i | \(0.675130\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.9225 | 1.22056 | 0.610282 | − | 0.792184i | \(-0.291056\pi\) | ||||
0.610282 | + | 0.792184i | \(0.291056\pi\) | |||||||
\(602\) | 4.47928 | − | 6.45203i | 0.182562 | − | 0.262965i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.44322 | + | 19.9504i | 0.302860 | + | 0.811768i | ||||
\(605\) | −33.0048 | − | 21.9923i | −1.34184 | − | 0.894113i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 20.6965i | − | 0.840046i | −0.907513 | − | 0.420023i | \(-0.862022\pi\) | ||
0.907513 | − | 0.420023i | \(-0.137978\pi\) | |||||||
\(608\) | 1.05061 | + | 9.75065i | 0.0426079 | + | 0.395441i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.9765 | − | 7.49534i | 0.768335 | − | 0.303477i | ||||
\(611\) | 5.07131i | 0.205163i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.6676 | 0.915537 | 0.457769 | − | 0.889071i | \(-0.348649\pi\) | ||||
0.457769 | + | 0.889071i | \(0.348649\pi\) | |||||||
\(614\) | 26.2396 | + | 18.2167i | 1.05895 | + | 0.735166i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.79641 | + | 10.9627i | −0.112671 | + | 0.441698i | ||||
\(617\) | − | 22.1966i | − | 0.893603i | −0.894633 | − | 0.446802i | \(-0.852563\pi\) | ||
0.894633 | − | 0.446802i | \(-0.147437\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 16.8204i | − | 0.676070i | −0.941133 | − | 0.338035i | \(-0.890238\pi\) | ||
0.941133 | − | 0.338035i | \(-0.109762\pi\) | |||||||
\(620\) | −2.70638 | + | 11.5233i | −0.108691 | + | 0.462789i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.5928 | − | 14.9907i | −0.865794 | − | 0.601071i | ||||
\(623\) | 5.66558i | 0.226987i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.5872 | + | 17.7676i | −0.703489 | + | 0.710706i | ||||
\(626\) | 23.7008 | − | 34.1390i | 0.947274 | − | 1.36447i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.84143 | + | 12.9767i | 0.193194 | + | 0.517825i | ||||
\(629\) | 2.29434i | 0.0914813i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.1205 | −1.75641 | −0.878204 | − | 0.478285i | \(-0.841258\pi\) | ||||
−0.878204 | + | 0.478285i | \(0.841258\pi\) | |||||||
\(632\) | −1.85039 | + | 7.25402i | −0.0736047 | + | 0.288549i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6.47301 | − | 4.49384i | −0.257076 | − | 0.178473i | ||||
\(635\) | 5.22441 | − | 7.84052i | 0.207324 | − | 0.311141i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −18.8477 | −0.746773 | ||||||||
\(638\) | −42.0305 | − | 29.1794i | −1.66400 | − | 1.15522i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.11254 | + | 25.1060i | −0.123034 | + | 0.992402i | ||||
\(641\) | 1.18566 | 0.0468307 | 0.0234154 | − | 0.999726i | \(-0.492546\pi\) | ||||
0.0234154 | + | 0.999726i | \(0.492546\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.5872 | −0.890754 | −0.445377 | − | 0.895343i | \(-0.646930\pi\) | ||||
−0.445377 | + | 0.895343i | \(0.646930\pi\) | |||||||
\(644\) | −3.90997 | − | 10.4800i | −0.154074 | − | 0.412971i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.29921 | − | 2.98470i | −0.169150 | − | 0.117431i | ||||
\(647\) | 19.7090i | 0.774842i | 0.921903 | + | 0.387421i | \(0.126634\pi\) | ||||
−0.921903 | + | 0.387421i | \(0.873366\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 36.7368 | 1.44205 | ||||||||
\(650\) | −4.34423 | + | 20.2229i | −0.170395 | + | 0.793208i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.38365 | + | 14.4300i | 0.210840 | + | 0.565122i | ||||
\(653\) | 44.4585 | 1.73979 | 0.869897 | − | 0.493234i | \(-0.164185\pi\) | ||||
0.869897 | + | 0.493234i | \(0.164185\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.7964 | + | 19.2042i | −0.499997 | + | 0.750369i | ||||
\(656\) | −34.1350 | + | 29.5894i | −1.33275 | + | 1.15527i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.50280 | − | 1.04331i | −0.0585852 | − | 0.0406723i | ||||
\(659\) | 41.5863i | 1.61997i | 0.586448 | + | 0.809987i | \(0.300526\pi\) | ||||
−0.586448 | + | 0.809987i | \(0.699474\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.0060i | 0.466978i | 0.972359 | + | 0.233489i | \(0.0750143\pi\) | ||||
−0.972359 | + | 0.233489i | \(0.924986\pi\) | |||||||
\(662\) | −11.0811 | + | 15.9614i | −0.430678 | + | 0.620356i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.09003 | − | 16.0340i | 0.158724 | − | 0.622239i | ||||
\(665\) | −2.40717 | − | 1.60398i | −0.0933461 | − | 0.0621997i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 50.5872 | 1.95875 | ||||||||
\(668\) | −6.04502 | + | 2.25532i | −0.233889 | + | 0.0872609i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.64681 | + | 21.8917i | 0.334055 | + | 0.845752i | ||||
\(671\) | −34.5872 | −1.33523 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 14.5080i | − | 0.559244i | −0.960110 | − | 0.279622i | \(-0.909791\pi\) | ||
0.960110 | − | 0.279622i | \(-0.0902091\pi\) | |||||||
\(674\) | 16.7368 | − | 24.1080i | 0.644679 | − | 0.928607i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.10627 | − | 8.32586i | −0.119472 | − | 0.320226i | ||||
\(677\) | 43.8600 | 1.68568 | 0.842839 | − | 0.538166i | \(-0.180883\pi\) | ||||
0.842839 | + | 0.538166i | \(0.180883\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.5872 | 0.406301 | ||||||||
\(680\) | −9.03605 | − | 10.0310i | −0.346517 | − | 0.384671i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.4432 | − | 16.4830i | 0.438184 | − | 0.631168i | ||||
\(683\) | −5.33527 | −0.204148 | −0.102074 | − | 0.994777i | \(-0.532548\pi\) | ||||
−0.102074 | + | 0.994777i | \(0.532548\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 18.6468 | − | 27.9841i | 0.712458 | − | 1.06922i | ||||
\(686\) | 8.09003 | − | 11.6530i | 0.308879 | − | 0.444915i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −22.4972 | + | 19.5013i | −0.857698 | + | 0.743480i | ||||
\(689\) | 22.5872 | 0.860505 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 39.7710i | − | 1.51296i | −0.654016 | − | 0.756480i | \(-0.726917\pi\) | ||
0.654016 | − | 0.756480i | \(-0.273083\pi\) | |||||||
\(692\) | 4.49383 | + | 12.0450i | 0.170830 | + | 0.457882i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.50280 | − | 3.82028i | −0.208883 | − | 0.145016i | ||||
\(695\) | 11.7424 | − | 17.6224i | 0.445416 | − | 0.668457i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 24.1080i | − | 0.913157i | ||||||
\(698\) | 0.389245 | − | 0.560675i | 0.0147331 | − | 0.0212219i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.09899 | − | 5.44774i | −0.192724 | − | 0.205905i | ||||
\(701\) | − | 27.5015i | − | 1.03872i | −0.854556 | − | 0.519359i | \(-0.826171\pi\) | ||
0.854556 | − | 0.519359i | \(-0.173829\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1.86335i | − | 0.0702775i | ||||||
\(704\) | 20.5422 | − | 37.6454i | 0.774214 | − | 1.41881i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.72161 | + | 2.47984i | −0.0647937 | + | 0.0933300i | ||||
\(707\) | 5.55118 | 0.208774 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.111632i | 0.00419244i | 0.999998 | + | 0.00209622i | \(0.000667249\pi\) | ||||
−0.999998 | + | 0.00209622i | \(0.999333\pi\) | |||||||
\(710\) | 15.4432 | + | 39.0987i | 0.579574 | + | 1.46735i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.30818 | − | 20.8094i | 0.198932 | − | 0.779866i | ||||
\(713\) | 19.8387i | 0.742966i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 19.4432 | − | 29.1794i | 0.727135 | − | 1.09125i | ||||
\(716\) | 15.2486 | − | 5.68906i | 0.569867 | − | 0.212610i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 11.1440 | + | 7.73665i | 0.415891 | + | 0.288729i | ||||
\(719\) | 10.7064 | 0.399281 | 0.199640 | − | 0.979869i | \(-0.436023\pi\) | ||||
0.199640 | + | 0.979869i | \(0.436023\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.37112 | 0.200031 | ||||||||
\(722\) | −18.5807 | − | 12.8995i | −0.691503 | − | 0.480071i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.79641 | + | 1.04331i | −0.103928 | + | 0.0387742i | ||||
\(725\) | 31.1440 | − | 12.9935i | 1.15666 | − | 0.482565i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 25.6562i | − | 0.951536i | −0.879571 | − | 0.475768i | \(-0.842170\pi\) | ||
0.879571 | − | 0.475768i | \(-0.157830\pi\) | |||||||
\(728\) | −5.98207 | − | 1.52594i | −0.221710 | − | 0.0565551i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.03046 | − | 0.801991i | 0.0751506 | − | 0.0296830i | ||||
\(731\) | − | 15.8888i | − | 0.587667i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.3684 | −1.12168 | −0.560842 | − | 0.827923i | \(-0.689522\pi\) | ||||
−0.560842 | + | 0.827923i | \(0.689522\pi\) | |||||||
\(734\) | 27.4882 | − | 39.5945i | 1.01461 | − | 1.46146i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.54222 | + | 42.1560i | 0.167428 | + | 1.55389i | ||||
\(737\) | − | 39.9007i | − | 1.46976i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.1917i | 0.742763i | 0.928480 | + | 0.371381i | \(0.121116\pi\) | ||||
−0.928480 | + | 0.371381i | \(0.878884\pi\) | |||||||
\(740\) | 1.09899 | − | 4.67934i | 0.0403999 | − | 0.172016i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.64681 | + | 6.69335i | −0.170590 | + | 0.245720i | ||||
\(743\) | 46.3863i | 1.70175i | 0.525369 | + | 0.850875i | \(0.323927\pi\) | ||||
−0.525369 | + | 0.850875i | \(0.676073\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.21881 | − | 3.32988i | 0.0812911 | − | 0.121997i | ||||
\(746\) | −5.03942 | − | 3.49858i | −0.184506 | − | 0.128092i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.00000 | + | 21.4427i | 0.292509 | + | 0.784023i | ||||
\(749\) | 2.98470i | 0.109059i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.1261 | −0.989845 | −0.494922 | − | 0.868937i | \(-0.664804\pi\) | ||||
−0.494922 | + | 0.868937i | \(0.664804\pi\) | |||||||
\(752\) | 4.54222 | + | 5.24002i | 0.165638 | + | 0.191084i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 15.9225 | − | 22.9351i | 0.579863 | − | 0.835245i | ||||
\(755\) | 19.8116 | + | 13.2012i | 0.721020 | + | 0.480441i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −45.2549 | −1.64482 | −0.822408 | − | 0.568898i | \(-0.807370\pi\) | ||||
−0.822408 | + | 0.568898i | \(0.807370\pi\) | |||||||
\(758\) | −5.56574 | + | 8.01699i | −0.202157 | + | 0.291190i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.33863 | + | 8.14667i | 0.266200 | + | 0.295511i | ||||
\(761\) | −16.8864 | −0.612133 | −0.306067 | − | 0.952010i | \(-0.599013\pi\) | ||||
−0.306067 | + | 0.952010i | \(0.599013\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.8864 | 0.538926 | ||||||||
\(764\) | −4.81434 | − | 12.9041i | −0.174177 | − | 0.466852i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.0450 | − | 25.9924i | 0.651993 | − | 0.939142i | ||||
\(767\) | 20.0464i | 0.723835i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −16.3297 | −0.588863 | −0.294431 | − | 0.955673i | \(-0.595130\pi\) | ||||
−0.294431 | + | 0.955673i | \(0.595130\pi\) | |||||||
\(770\) | 4.64681 | + | 11.7647i | 0.167459 | + | 0.423969i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −30.8864 | + | 11.5233i | −1.11163 | + | 0.414734i | ||||
\(773\) | −41.3144 | −1.48598 | −0.742989 | − | 0.669304i | \(-0.766592\pi\) | ||||
−0.742989 | + | 0.669304i | \(0.766592\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.09563 | + | 12.2137i | 0.183040 | + | 0.438729i | ||||
\(776\) | −38.8864 | − | 9.91936i | −1.39594 | − | 0.356084i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.88645 | − | 12.8002i | 0.318595 | − | 0.458909i | ||||
\(779\) | 19.5794i | 0.701503i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 71.2628i | − | 2.54998i | ||||||
\(782\) | −18.5872 | − | 12.9041i | −0.664678 | − | 0.461448i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.4747 | + | 16.8813i | −0.695525 | + | 0.602904i | ||||
\(785\) | 12.8864 | + | 8.58669i | 0.459937 | + | 0.306472i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.4849 | −0.409391 | −0.204696 | − | 0.978826i | \(-0.565620\pi\) | ||||
−0.204696 | + | 0.978826i | \(0.565620\pi\) | |||||||
\(788\) | 9.48824 | + | 25.4317i | 0.338005 | + | 0.905966i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.07480 | + | 7.78470i | 0.109397 | + | 0.276967i | ||||
\(791\) | −8.99440 | −0.319804 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 18.8735i | − | 0.670216i | ||||||
\(794\) | −29.3386 | − | 20.3681i | −1.04119 | − | 0.722838i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.32967 | − | 16.9657i | −0.224349 | − | 0.601332i | ||||
\(797\) | −45.4945 | −1.61150 | −0.805749 | − | 0.592257i | \(-0.798237\pi\) | ||||
−0.805749 | + | 0.592257i | \(0.798237\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.70079 | −0.130924 | ||||||||
\(800\) | 13.6243 | + | 24.7867i | 0.481692 | + | 0.876341i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.47301 | + | 5.88233i | 0.299192 | + | 0.207712i | ||||
\(803\) | −3.70079 | −0.130598 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.4072 | − | 6.93466i | −0.366805 | − | 0.244415i | ||||
\(806\) | 8.99440 | + | 6.24430i | 0.316814 | + | 0.219946i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.3892 | − | 5.20100i | −0.717291 | − | 0.182970i | ||||
\(809\) | −36.0721 | −1.26823 | −0.634114 | − | 0.773240i | \(-0.718635\pi\) | ||||
−0.634114 | + | 0.773240i | \(0.718635\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.5230i | 1.56341i | 0.623646 | + | 0.781707i | \(0.285651\pi\) | ||||
−0.623646 | + | 0.781707i | \(0.714349\pi\) | |||||||
\(812\) | 3.52072 | + | 9.43673i | 0.123553 | + | 0.331164i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.64681 | + | 6.69335i | −0.162871 | + | 0.234602i | ||||
\(815\) | 14.3297 | + | 9.54836i | 0.501946 | + | 0.334464i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.9041i | 0.451456i | ||||||||
\(818\) | 18.4134 | + | 12.7834i | 0.643811 | + | 0.446961i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.5478 | + | 49.1687i | −0.403267 | + | 1.71705i | ||||
\(821\) | − | 34.1613i | − | 1.19224i | −0.802897 | − | 0.596118i | \(-0.796709\pi\) | ||
0.802897 | − | 0.596118i | \(-0.203291\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.12689i | 0.0741388i | 0.999313 | + | 0.0370694i | \(0.0118023\pi\) | ||||
−0.999313 | + | 0.0370694i | \(0.988198\pi\) | |||||||
\(824\) | −19.7279 | − | 5.03229i | −0.687253 | − | 0.175308i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.94043 | − | 4.12410i | −0.206694 | − | 0.143496i | ||||
\(827\) | −38.5872 | −1.34181 | −0.670905 | − | 0.741543i | \(-0.734094\pi\) | ||||
−0.670905 | + | 0.741543i | \(0.734094\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 34.2351i | 1.18904i | 0.804083 | + | 0.594518i | \(0.202657\pi\) | ||||
−0.804083 | + | 0.594518i | \(0.797343\pi\) | |||||||
\(830\) | −6.79641 | − | 17.2070i | −0.235907 | − | 0.597263i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 20.5422 | + | 11.2094i | 0.712173 | + | 0.388617i | ||||
\(833\) | − | 13.7541i | − | 0.476551i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.00000 | + | 6.00299i | −0.138426 | + | 0.207742i | ||||
\(836\) | −6.49720 | − | 17.4147i | −0.224710 | − | 0.602300i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.47301 | − | 9.32384i | 0.223606 | − | 0.322087i | ||||
\(839\) | −41.5928 | −1.43594 | −0.717972 | − | 0.696072i | \(-0.754929\pi\) | ||||
−0.717972 | + | 0.696072i | \(0.754929\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.5512 | −0.570730 | ||||||||
\(842\) | −18.4972 | + | 26.6437i | −0.637456 | + | 0.918202i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.75140 | − | 1.77269i | 0.163550 | − | 0.0610184i | ||||
\(845\) | −8.26798 | − | 5.50924i | −0.284427 | − | 0.189524i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 13.2348i | − | 0.454752i | ||||||
\(848\) | 23.3386 | − | 20.2307i | 0.801452 | − | 0.694725i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −14.7577 | − | 3.17020i | −0.506184 | − | 0.108737i | ||||
\(851\) | − | 8.05601i | − | 0.276156i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.1828 | 0.793763 | 0.396881 | − | 0.917870i | \(-0.370092\pi\) | ||||
0.396881 | + | 0.917870i | \(0.370092\pi\) | |||||||
\(854\) | 5.59283 | + | 3.88278i | 0.191383 | + | 0.132866i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.79641 | − | 10.9627i | 0.0955795 | − | 0.374696i | ||||
\(857\) | − | 9.38868i | − | 0.320711i | −0.987059 | − | 0.160356i | \(-0.948736\pi\) | ||
0.987059 | − | 0.160356i | \(-0.0512641\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.98769i | 0.306656i | 0.988175 | + | 0.153328i | \(0.0489991\pi\) | ||||
−0.988175 | + | 0.153328i | \(0.951001\pi\) | |||||||
\(860\) | −7.61076 | + | 32.4054i | −0.259525 | + | 1.10501i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −40.7368 | − | 28.2813i | −1.38750 | − | 0.963264i | ||||
\(863\) | − | 12.2473i | − | 0.416903i | −0.978033 | − | 0.208451i | \(-0.933158\pi\) | ||
0.978033 | − | 0.208451i | \(-0.0668423\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 11.9612 | + | 7.97020i | 0.406695 | + | 0.270995i | ||||
\(866\) | −13.7729 | + | 19.8387i | −0.468022 | + | 0.674147i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.70079 | + | 1.38072i | −0.125613 | + | 0.0468646i | ||||
\(869\) | − | 14.1887i | − | 0.481318i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.7729 | 0.737746 | ||||||||
\(872\) | −54.6773 | − | 13.9474i | −1.85161 | − | 0.472317i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 15.0956 | + | 10.4800i | 0.510617 | + | 0.354492i | ||||
\(875\) | −8.18836 | − | 1.59621i | −0.276817 | − | 0.0539618i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 26.1109 | 0.881701 | 0.440850 | − | 0.897581i | \(-0.354677\pi\) | ||||
0.440850 | + | 0.897581i | \(0.354677\pi\) | |||||||
\(878\) | 9.91960 | + | 6.88661i | 0.334770 | + | 0.232412i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6.04502 | − | 47.5647i | −0.203777 | − | 1.60341i | ||||
\(881\) | 38.4793 | 1.29640 | 0.648200 | − | 0.761470i | \(-0.275522\pi\) | ||||
0.648200 | + | 0.761470i | \(0.275522\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.58723 | −0.221678 | −0.110839 | − | 0.993838i | \(-0.535354\pi\) | ||||
−0.110839 | + | 0.993838i | \(0.535354\pi\) | |||||||
\(884\) | −11.7008 | + | 4.36542i | −0.393540 | + | 0.146825i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −24.0900 | − | 16.7243i | −0.809320 | − | 0.561865i | ||||
\(887\) | − | 50.9595i | − | 1.71105i | −0.517760 | − | 0.855526i | \(-0.673234\pi\) | ||
0.517760 | − | 0.855526i | \(-0.326766\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.14401 | 0.105447 | ||||||||
\(890\) | −8.82061 | − | 22.3318i | −0.295667 | − | 0.748562i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 22.7819 | − | 8.49962i | 0.762793 | − | 0.284588i | ||||
\(893\) | 3.00560 | 0.100578 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.0900 | − | 15.1426i | 0.337273 | − | 0.506161i | ||||
\(896\) | −7.54781 | + | 3.78126i | −0.252155 | + | 0.126323i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.32340 | + | 1.61301i | 0.0775330 | + | 0.0538268i | ||||
\(899\) | − | 17.8637i | − | 0.595789i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.4830i | 0.549129i | ||||||||
\(902\) | 48.8269 | − | 70.3311i | 1.62576 | − | 2.34177i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.0361 | + | 8.42701i | 1.09876 | + | 0.280278i | ||||
\(905\) | −1.85039 | + | 2.77697i | −0.0615092 | + | 0.0923097i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −24.5568 | −0.815394 | −0.407697 | − | 0.913117i | \(-0.633668\pi\) | ||||
−0.407697 | + | 0.913117i | \(0.633668\pi\) | |||||||
\(908\) | −14.4972 | − | 38.8574i | −0.481107 | − | 1.28953i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.41970 | + | 2.53566i | −0.212811 | + | 0.0840562i | ||||
\(911\) | −16.0000 | −0.530104 | −0.265052 | − | 0.964234i | \(-0.585389\pi\) | ||||
−0.265052 | + | 0.964234i | \(0.585389\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 31.3621i | 1.03793i | ||||||||
\(914\) | 1.03605 | − | 1.49235i | 0.0342696 | − | 0.0493625i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −37.3836 | + | 13.9474i | −1.23519 | + | 0.460834i | ||||
\(917\) | −7.70079 | −0.254302 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −28.7548 | −0.948532 | −0.474266 | − | 0.880382i | \(-0.657287\pi\) | ||||
−0.474266 | + | 0.880382i | \(0.657287\pi\) | |||||||
\(920\) | 31.7279 | + | 35.2214i | 1.04604 | + | 1.16121i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.6647 | − | 18.2425i | 0.417091 | − | 0.600785i | ||||
\(923\) | 38.8864 | 1.27996 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.06921 | − | 4.95968i | −0.0680351 | − | 0.163073i | ||||
\(926\) | −15.0990 | + | 21.7489i | −0.496184 | + | 0.714712i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.09003 | − | 37.9593i | −0.134262 | − | 1.24608i | ||||
\(929\) | 28.2880 | 0.928100 | 0.464050 | − | 0.885809i | \(-0.346396\pi\) | ||||
0.464050 | + | 0.885809i | \(0.346396\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.1704i | 0.366095i | ||||||||
\(932\) | 24.9944 | − | 9.32510i | 0.818719 | − | 0.305454i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.49720 | − | 1.73367i | −0.0817110 | − | 0.0567273i | ||||
\(935\) | 21.2936 | + | 14.1887i | 0.696376 | + | 0.464020i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 33.9313i | − | 1.10849i | −0.832354 | − | 0.554244i | \(-0.813008\pi\) | ||
0.832354 | − | 0.554244i | \(-0.186992\pi\) | |||||||
\(938\) | −4.47928 | + | 6.45203i | −0.146254 | + | 0.210666i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 7.54781 | + | 1.77269i | 0.246183 | + | 0.0578187i | ||||
\(941\) | − | 38.8016i | − | 1.26490i | −0.774603 | − | 0.632448i | \(-0.782050\pi\) | ||
0.774603 | − | 0.632448i | \(-0.217950\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 84.6495i | 2.75657i | ||||||||
\(944\) | 17.9550 | + | 20.7133i | 0.584385 | + | 0.674161i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 32.1801 | − | 46.3527i | 1.04626 | − | 1.50706i | ||||
\(947\) | −17.7729 | −0.577541 | −0.288771 | − | 0.957398i | \(-0.593247\pi\) | ||||
−0.288771 | + | 0.957398i | \(0.593247\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 2.01943i | − | 0.0655536i | ||||||
\(950\) | 11.9854 | + | 2.57468i | 0.388859 | + | 0.0835336i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.11355 | − | 4.36542i | 0.0360905 | − | 0.141484i | ||||
\(953\) | − | 46.3047i | − | 1.49996i | −0.661463 | − | 0.749978i | \(-0.730064\pi\) | ||
0.661463 | − | 0.749978i | \(-0.269936\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.8143 | − | 8.53864i | −0.414662 | − | 0.276304i | ||||
\(956\) | 16.0000 | + | 42.8854i | 0.517477 | + | 1.38701i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 14.1496 | + | 9.82327i | 0.457153 | + | 0.317375i | ||||
\(959\) | 11.2215 | 0.362361 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.9944 | −0.774013 | ||||||||
\(962\) | −3.65240 | − | 2.53566i | −0.117758 | − | 0.0817528i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.51176 | + | 6.73237i | 0.0808984 | + | 0.216835i | ||||
\(965\) | −20.4376 | + | 30.6717i | −0.657911 | + | 0.987357i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.28482i | 0.298580i | 0.988793 | + | 0.149290i | \(0.0476987\pi\) | ||||
−0.988793 | + | 0.149290i | \(0.952301\pi\) | |||||||
\(968\) | −12.3999 | + | 48.6108i | −0.398548 | + | 1.56241i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −41.7312 | + | 16.4830i | −1.33991 | + | 0.529238i | ||||
\(971\) | 20.9301i | 0.671678i | 0.941919 | + | 0.335839i | \(0.109020\pi\) | ||||
−0.941919 | + | 0.335839i | \(0.890980\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.06651 | 0.226542 | ||||||||
\(974\) | 20.7819 | − | 29.9346i | 0.665894 | − | 0.959165i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.9044 | − | 19.5013i | −0.541096 | − | 0.624222i | ||||
\(977\) | 30.8314i | 0.986383i | 0.869921 | + | 0.493192i | \(0.164170\pi\) | ||||
−0.869921 | + | 0.493192i | \(0.835830\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 40.7027i | 1.30086i | ||||||||
\(980\) | −6.58825 | + | 28.0517i | −0.210454 | + | 0.896079i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.5270 | + | 19.4845i | −0.431664 | + | 0.621776i | ||||
\(983\) | 31.3285i | 0.999223i | 0.866250 | + | 0.499612i | \(0.166524\pi\) | ||||
−0.866250 | + | 0.499612i | \(0.833476\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 25.2549 | + | 16.8282i | 0.804687 | + | 0.536191i | ||||
\(986\) | 16.7368 | + | 11.6194i | 0.533010 | + | 0.370038i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.50280 | − | 3.54537i | 0.302324 | − | 0.112793i | ||||
\(989\) | 55.7895i | 1.77400i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 31.3420 | 0.995611 | 0.497806 | − | 0.867289i | \(-0.334139\pi\) | ||||
0.497806 | + | 0.867289i | \(0.334139\pi\) | |||||||
\(992\) | 14.8864 | − | 1.60398i | 0.472645 | − | 0.0509265i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.00000 | + | 11.5233i | −0.253745 | + | 0.365498i | ||||
\(995\) | −16.8477 | − | 11.2262i | −0.534108 | − | 0.355895i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.9557 | 0.663672 | 0.331836 | − | 0.943337i | \(-0.392332\pi\) | ||||
0.331836 | + | 0.943337i | \(0.392332\pi\) | |||||||
\(998\) | 14.2125 | − | 20.4720i | 0.449890 | − | 0.648030i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))