Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(214,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.q (of order \(15\), degree \(8\), not 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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} - 5 x^{14} + 16 x^{13} + 4 x^{12} - 29 x^{11} + 10 x^{10} - 156 x^{9} + 251 x^{8} + \cdots + 625 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 312.1 | ||
Root | \(-0.981435 + 1.08999i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.312 |
Dual form | 539.2.q.c.520.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.257844 | + | 2.45322i | −0.182323 | + | 1.73469i | 0.395448 | + | 0.918489i | \(0.370589\pi\) |
−0.577771 | + | 0.816199i | \(0.696077\pi\) | |||||||
\(3\) | −1.08268 | − | 1.20243i | −0.625083 | − | 0.694225i | 0.344556 | − | 0.938766i | \(-0.388030\pi\) |
−0.969639 | + | 0.244540i | \(0.921363\pi\) | |||||||
\(4\) | −3.99550 | − | 0.849271i | −1.99775 | − | 0.424635i | ||||
\(5\) | −3.16702 | − | 1.41005i | −1.41633 | − | 0.630592i | −0.451217 | − | 0.892414i | \(-0.649010\pi\) |
−0.965116 | + | 0.261822i | \(0.915677\pi\) | |||||||
\(6\) | 3.22899 | − | 2.34600i | 1.31823 | − | 0.957751i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.58914 | − | 4.89086i | 0.561845 | − | 1.72918i | ||||
\(9\) | 0.0399263 | − | 0.379874i | 0.0133088 | − | 0.126625i | ||||
\(10\) | 4.27575 | − | 7.40581i | 1.35211 | − | 2.34192i | ||||
\(11\) | −0.0978940 | + | 3.31518i | −0.0295161 | + | 0.999564i | ||||
\(12\) | 3.30464 | + | 5.72381i | 0.953969 | + | 1.65232i | ||||
\(13\) | 0.528896 | + | 0.384266i | 0.146689 | + | 0.106576i | 0.658709 | − | 0.752397i | \(-0.271103\pi\) |
−0.512020 | + | 0.858973i | \(0.671103\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.73337 | + | 5.33475i | 0.447553 | + | 1.37743i | ||||
\(16\) | 4.12537 | + | 1.83673i | 1.03134 | + | 0.459183i | ||||
\(17\) | 0.118865 | + | 1.13092i | 0.0288290 | + | 0.274289i | 0.999435 | + | 0.0336149i | \(0.0107020\pi\) |
−0.970606 | + | 0.240675i | \(0.922631\pi\) | |||||||
\(18\) | 0.921618 | + | 0.195896i | 0.217227 | + | 0.0461731i | ||||
\(19\) | 5.94325 | − | 1.26328i | 1.36347 | − | 0.289815i | 0.532643 | − | 0.846340i | \(-0.321199\pi\) |
0.830831 | + | 0.556525i | \(0.187866\pi\) | |||||||
\(20\) | 11.4563 | + | 8.32350i | 2.56171 | + | 1.86119i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.10762 | − | 1.09495i | −1.72855 | − | 0.233445i | ||||
\(23\) | 3.33354 | + | 5.77386i | 0.695091 | + | 1.20393i | 0.970150 | + | 0.242506i | \(0.0779694\pi\) |
−0.275059 | + | 0.961427i | \(0.588697\pi\) | |||||||
\(24\) | −7.60146 | + | 3.38439i | −1.55164 | + | 0.690835i | ||||
\(25\) | 4.69611 | + | 5.21556i | 0.939222 | + | 1.04311i | ||||
\(26\) | −1.07906 | + | 1.19842i | −0.211621 | + | 0.235029i | ||||
\(27\) | −4.42705 | + | 3.21644i | −0.851986 | + | 0.619004i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.41331 | − | 4.34973i | −0.262445 | − | 0.807724i | −0.992271 | − | 0.124090i | \(-0.960399\pi\) |
0.729826 | − | 0.683633i | \(-0.239601\pi\) | |||||||
\(30\) | −13.5343 | + | 2.87679i | −2.47100 | + | 0.525228i | ||||
\(31\) | 2.55456 | − | 1.13736i | 0.458812 | − | 0.204276i | −0.164298 | − | 0.986411i | \(-0.552536\pi\) |
0.623109 | + | 0.782135i | \(0.285869\pi\) | |||||||
\(32\) | −0.427051 | + | 0.739674i | −0.0754927 | + | 0.130757i | ||||
\(33\) | 4.09227 | − | 3.47155i | 0.712373 | − | 0.604320i | ||||
\(34\) | −2.80505 | −0.481063 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.482141 | + | 1.48388i | −0.0803569 | + | 0.247313i | ||||
\(37\) | −0.294256 | + | 0.326804i | −0.0483753 | + | 0.0537263i | −0.766847 | − | 0.641830i | \(-0.778175\pi\) |
0.718471 | + | 0.695556i | \(0.244842\pi\) | |||||||
\(38\) | 1.56666 | + | 14.9058i | 0.254146 | + | 2.41804i | ||||
\(39\) | −0.110569 | − | 1.05200i | −0.0177053 | − | 0.168454i | ||||
\(40\) | −11.9292 | + | 13.2487i | −1.88617 | + | 2.09480i | ||||
\(41\) | −1.82417 | + | 5.61423i | −0.284888 | + | 0.876795i | 0.701544 | + | 0.712626i | \(0.252494\pi\) |
−0.986432 | + | 0.164169i | \(0.947506\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.70820 | 1.32799 | 0.663994 | − | 0.747738i | \(-0.268860\pi\) | ||||
0.663994 | + | 0.747738i | \(0.268860\pi\) | |||||||
\(44\) | 3.20662 | − | 13.1627i | 0.483416 | − | 1.98435i | ||||
\(45\) | −0.662087 | + | 1.14677i | −0.0986981 | + | 0.170950i | ||||
\(46\) | −15.0241 | + | 6.68915i | −2.21518 | + | 0.986262i | ||||
\(47\) | 0.591489 | − | 0.125725i | 0.0862776 | − | 0.0183389i | −0.164571 | − | 0.986365i | \(-0.552624\pi\) |
0.250848 | + | 0.968026i | \(0.419291\pi\) | |||||||
\(48\) | −2.25789 | − | 6.94907i | −0.325898 | − | 1.00301i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −14.0058 | + | 10.1758i | −1.98072 | + | 1.43907i | ||||
\(51\) | 1.23117 | − | 1.36735i | 0.172398 | − | 0.191468i | ||||
\(52\) | −1.78686 | − | 1.98451i | −0.247793 | − | 0.275202i | ||||
\(53\) | 8.97327 | − | 3.99516i | 1.23257 | − | 0.548777i | 0.316044 | − | 0.948745i | \(-0.397645\pi\) |
0.916529 | + | 0.399968i | \(0.130979\pi\) | |||||||
\(54\) | −6.74915 | − | 11.6899i | −0.918442 | − | 1.59079i | ||||
\(55\) | 4.98459 | − | 10.3612i | 0.672122 | − | 1.39710i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.95362 | − | 5.77864i | −1.05348 | − | 0.765400i | ||||
\(58\) | 11.0352 | − | 2.34561i | 1.44900 | − | 0.307994i | ||||
\(59\) | −1.65704 | − | 0.352214i | −0.215728 | − | 0.0458544i | 0.0987798 | − | 0.995109i | \(-0.468506\pi\) |
−0.314508 | + | 0.949255i | \(0.601839\pi\) | |||||||
\(60\) | −2.39502 | − | 22.7871i | −0.309196 | − | 2.94180i | ||||
\(61\) | 6.26526 | + | 2.78947i | 0.802185 | + | 0.357156i | 0.766530 | − | 0.642209i | \(-0.221982\pi\) |
0.0356547 | + | 0.999364i | \(0.488648\pi\) | |||||||
\(62\) | 2.13152 | + | 6.56015i | 0.270703 | + | 0.833139i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.60222 | + | 4.07025i | 0.700277 | + | 0.508781i | ||||
\(65\) | −1.13319 | − | 1.96274i | −0.140555 | − | 0.243448i | ||||
\(66\) | 7.46132 | + | 10.9344i | 0.918425 | + | 1.34593i | ||||
\(67\) | 3.08914 | − | 5.35054i | 0.377398 | − | 0.653673i | −0.613285 | − | 0.789862i | \(-0.710152\pi\) |
0.990683 | + | 0.136189i | \(0.0434855\pi\) | |||||||
\(68\) | 0.485535 | − | 4.61956i | 0.0588798 | − | 0.560204i | ||||
\(69\) | 3.33354 | − | 10.2596i | 0.401311 | − | 1.23511i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.38234 | − | 3.18395i | 0.520088 | − | 0.377866i | −0.296549 | − | 0.955018i | \(-0.595836\pi\) |
0.816637 | + | 0.577152i | \(0.195836\pi\) | |||||||
\(72\) | −1.79446 | − | 0.798946i | −0.211479 | − | 0.0941566i | ||||
\(73\) | −6.55553 | − | 1.39342i | −0.767266 | − | 0.163088i | −0.192380 | − | 0.981321i | \(-0.561621\pi\) |
−0.574887 | + | 0.818233i | \(0.694954\pi\) | |||||||
\(74\) | −0.725850 | − | 0.806138i | −0.0843783 | − | 0.0937116i | ||||
\(75\) | 1.18700 | − | 11.2935i | 0.137063 | − | 1.30406i | ||||
\(76\) | −24.8191 | −2.84695 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.60929 | 0.295444 | ||||||||
\(79\) | −0.277393 | + | 2.63921i | −0.0312091 | + | 0.296935i | 0.967773 | + | 0.251825i | \(0.0810306\pi\) |
−0.998982 | + | 0.0451103i | \(0.985636\pi\) | |||||||
\(80\) | −10.4752 | − | 11.6339i | −1.17117 | − | 1.30071i | ||||
\(81\) | 7.53976 | + | 1.60263i | 0.837751 | + | 0.178070i | ||||
\(82\) | −13.3026 | − | 5.92269i | −1.46902 | − | 0.654052i | ||||
\(83\) | −5.41765 | + | 3.93615i | −0.594664 | + | 0.432049i | −0.843981 | − | 0.536373i | \(-0.819794\pi\) |
0.249317 | + | 0.968422i | \(0.419794\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.21821 | − | 3.74926i | 0.132133 | − | 0.406665i | ||||
\(86\) | −2.24536 | + | 21.3631i | −0.242123 | + | 2.30365i | ||||
\(87\) | −3.70010 | + | 6.40876i | −0.396692 | + | 0.687091i | ||||
\(88\) | 16.0585 | + | 5.74706i | 1.71184 | + | 0.612639i | ||||
\(89\) | 0.349107 | + | 0.604670i | 0.0370052 | + | 0.0640949i | 0.883935 | − | 0.467610i | \(-0.154885\pi\) |
−0.846930 | + | 0.531705i | \(0.821552\pi\) | |||||||
\(90\) | −2.64256 | − | 1.91993i | −0.278550 | − | 0.202378i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −8.41560 | − | 25.9006i | −0.877387 | − | 2.70032i | ||||
\(93\) | −4.13336 | − | 1.84029i | −0.428609 | − | 0.190829i | ||||
\(94\) | 0.155919 | + | 1.48347i | 0.0160818 | + | 0.153008i | ||||
\(95\) | −20.6036 | − | 4.37944i | −2.11389 | − | 0.449321i | ||||
\(96\) | 1.35177 | − | 0.287327i | 0.137964 | − | 0.0293252i | ||||
\(97\) | 12.0209 | + | 8.73372i | 1.22054 | + | 0.886775i | 0.996145 | − | 0.0877234i | \(-0.0279592\pi\) |
0.224396 | + | 0.974498i | \(0.427959\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.25544 | + | 0.169550i | 0.126177 | + | 0.0170404i | ||||
\(100\) | −14.3339 | − | 24.8271i | −1.43339 | − | 2.48271i | ||||
\(101\) | 7.87439 | − | 3.50590i | 0.783531 | − | 0.348851i | 0.0243278 | − | 0.999704i | \(-0.492255\pi\) |
0.759203 | + | 0.650854i | \(0.225589\pi\) | |||||||
\(102\) | 3.03696 | + | 3.37289i | 0.300704 | + | 0.333966i | ||||
\(103\) | −0.624271 | + | 0.693323i | −0.0615112 | + | 0.0683152i | −0.773115 | − | 0.634266i | \(-0.781302\pi\) |
0.711604 | + | 0.702581i | \(0.247969\pi\) | |||||||
\(104\) | 2.71988 | − | 1.97611i | 0.266706 | − | 0.193773i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.48729 | + | 23.0435i | 0.727230 | + | 2.23818i | ||||
\(107\) | −6.47741 | + | 1.37682i | −0.626194 | + | 0.133102i | −0.510070 | − | 0.860133i | \(-0.670380\pi\) |
−0.116125 | + | 0.993235i | \(0.537047\pi\) | |||||||
\(108\) | 20.4199 | − | 9.09154i | 1.96491 | − | 0.874834i | ||||
\(109\) | 2.06253 | − | 3.57242i | 0.197555 | − | 0.342175i | −0.750180 | − | 0.661234i | \(-0.770033\pi\) |
0.947735 | + | 0.319058i | \(0.103367\pi\) | |||||||
\(110\) | 24.1330 | + | 14.8999i | 2.30099 | + | 1.42065i | ||||
\(111\) | 0.711544 | 0.0675368 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.81749 | + | 17.9044i | −0.547264 | + | 1.68430i | 0.168282 | + | 0.985739i | \(0.446178\pi\) |
−0.715546 | + | 0.698566i | \(0.753822\pi\) | |||||||
\(114\) | 16.2271 | − | 18.0220i | 1.51980 | − | 1.68791i | ||||
\(115\) | −2.41596 | − | 22.9864i | −0.225290 | − | 2.14349i | ||||
\(116\) | 1.95280 | + | 18.5796i | 0.181313 | + | 1.72508i | ||||
\(117\) | 0.167089 | − | 0.185571i | 0.0154474 | − | 0.0171561i | ||||
\(118\) | 1.29131 | − | 3.97426i | 0.118875 | − | 0.365860i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 28.8461 | 2.63328 | ||||||||
\(121\) | −10.9808 | − | 0.649072i | −0.998258 | − | 0.0590066i | ||||
\(122\) | −8.45865 | + | 14.6508i | −0.765810 | + | 1.32642i | ||||
\(123\) | 8.72573 | − | 3.88494i | 0.786772 | − | 0.350294i | ||||
\(124\) | −11.1727 | + | 2.37482i | −1.00334 | + | 0.213265i | ||||
\(125\) | −2.16209 | − | 6.65422i | −0.193383 | − | 0.595171i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.44491 | − | 4.68250i | 0.571893 | − | 0.415505i | −0.263899 | − | 0.964550i | \(-0.585009\pi\) |
0.835792 | + | 0.549045i | \(0.185009\pi\) | |||||||
\(128\) | −12.5727 | + | 13.9634i | −1.11128 | + | 1.23420i | ||||
\(129\) | −9.42816 | − | 10.4710i | −0.830104 | − | 0.921923i | ||||
\(130\) | 5.10723 | − | 2.27388i | 0.447933 | − | 0.199433i | ||||
\(131\) | 2.40253 | + | 4.16130i | 0.209910 | + | 0.363574i | 0.951686 | − | 0.307073i | \(-0.0993496\pi\) |
−0.741776 | + | 0.670648i | \(0.766016\pi\) | |||||||
\(132\) | −19.2990 | + | 10.3952i | −1.67976 | + | 0.904783i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.3295 | + | 8.95793i | 1.06511 | + | 0.773848i | ||||
\(135\) | 18.5559 | − | 3.94417i | 1.59704 | − | 0.339460i | ||||
\(136\) | 5.72009 | + | 1.21584i | 0.490494 | + | 0.104258i | ||||
\(137\) | 2.28685 | + | 21.7579i | 0.195378 | + | 1.85890i | 0.451518 | + | 0.892262i | \(0.350883\pi\) |
−0.256140 | + | 0.966640i | \(0.582451\pi\) | |||||||
\(138\) | 24.3095 | + | 10.8233i | 2.06936 | + | 0.921338i | ||||
\(139\) | −6.12278 | − | 18.8440i | −0.519327 | − | 1.59832i | −0.775268 | − | 0.631632i | \(-0.782385\pi\) |
0.255941 | − | 0.966692i | \(-0.417615\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.791567 | − | 0.575107i | −0.0666620 | − | 0.0484328i | ||||
\(142\) | 6.68098 | + | 11.5718i | 0.560655 | + | 0.971083i | ||||
\(143\) | −1.32569 | + | 1.71577i | −0.110859 | + | 0.143480i | ||||
\(144\) | 0.862437 | − | 1.49379i | 0.0718698 | − | 0.124482i | ||||
\(145\) | −1.65734 | + | 15.7685i | −0.137634 | + | 1.30950i | ||||
\(146\) | 5.10867 | − | 15.7229i | 0.422796 | − | 1.30123i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.45325 | − | 1.05584i | 0.119456 | − | 0.0867899i | ||||
\(149\) | 2.88873 | + | 1.28615i | 0.236654 | + | 0.105365i | 0.521637 | − | 0.853167i | \(-0.325321\pi\) |
−0.284983 | + | 0.958532i | \(0.591988\pi\) | |||||||
\(150\) | 27.3994 | + | 5.82393i | 2.23715 | + | 0.475522i | ||||
\(151\) | 5.97404 | + | 6.63484i | 0.486160 | + | 0.539936i | 0.935454 | − | 0.353448i | \(-0.114991\pi\) |
−0.449294 | + | 0.893384i | \(0.648324\pi\) | |||||||
\(152\) | 3.26613 | − | 31.0751i | 0.264918 | − | 2.52053i | ||||
\(153\) | 0.434354 | 0.0351155 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −9.69406 | −0.778645 | ||||||||
\(156\) | −0.451650 | + | 4.29716i | −0.0361609 | + | 0.344048i | ||||
\(157\) | 0.762592 | + | 0.846944i | 0.0608615 | + | 0.0675935i | 0.772807 | − | 0.634642i | \(-0.218852\pi\) |
−0.711945 | + | 0.702235i | \(0.752186\pi\) | |||||||
\(158\) | −6.40305 | − | 1.36101i | −0.509399 | − | 0.108276i | ||||
\(159\) | −14.5191 | − | 6.46430i | −1.15144 | − | 0.512652i | ||||
\(160\) | 2.39545 | − | 1.74040i | 0.189377 | − | 0.137591i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.87567 | + | 18.0835i | −0.461636 | + | 1.42077i | ||||
\(163\) | 0.529675 | − | 5.03952i | 0.0414873 | − | 0.394726i | −0.953998 | − | 0.299812i | \(-0.903076\pi\) |
0.995486 | − | 0.0949133i | \(-0.0302574\pi\) | |||||||
\(164\) | 12.0565 | − | 20.8825i | 0.941454 | − | 1.63065i | ||||
\(165\) | −17.8553 | + | 5.22418i | −1.39004 | + | 0.406702i | ||||
\(166\) | −8.25933 | − | 14.3056i | −0.641048 | − | 1.11033i | ||||
\(167\) | 15.9432 | + | 11.5834i | 1.23372 | + | 0.896351i | 0.997164 | − | 0.0752658i | \(-0.0239805\pi\) |
0.236558 | + | 0.971617i | \(0.423981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.88515 | − | 11.9573i | −0.298858 | − | 0.919789i | ||||
\(170\) | 8.88365 | + | 3.95526i | 0.681345 | + | 0.303354i | ||||
\(171\) | −0.242593 | − | 2.30812i | −0.0185516 | − | 0.176506i | ||||
\(172\) | −34.7937 | − | 7.39562i | −2.65299 | − | 0.563911i | ||||
\(173\) | 14.0802 | − | 2.99285i | 1.07050 | − | 0.227542i | 0.361229 | − | 0.932477i | \(-0.382357\pi\) |
0.709271 | + | 0.704935i | \(0.249024\pi\) | |||||||
\(174\) | −14.7680 | − | 10.7296i | −1.11956 | − | 0.813409i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −6.49295 | + | 13.4965i | −0.489424 | + | 1.01734i | ||||
\(177\) | 1.37052 | + | 2.37381i | 0.103015 | + | 0.178426i | ||||
\(178\) | −1.57340 | + | 0.700525i | −0.117932 | + | 0.0525065i | ||||
\(179\) | −3.12096 | − | 3.46618i | −0.233271 | − | 0.259074i | 0.615132 | − | 0.788424i | \(-0.289103\pi\) |
−0.848404 | + | 0.529350i | \(0.822436\pi\) | |||||||
\(180\) | 3.61929 | − | 4.01963i | 0.269766 | − | 0.299605i | ||||
\(181\) | −8.01578 | + | 5.82381i | −0.595808 | + | 0.432880i | −0.844389 | − | 0.535731i | \(-0.820036\pi\) |
0.248580 | + | 0.968611i | \(0.420036\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.42909 | − | 10.5537i | −0.253486 | − | 0.780149i | ||||
\(184\) | 33.5366 | − | 7.12843i | 2.47235 | − | 0.525515i | ||||
\(185\) | 1.39272 | − | 0.620080i | 0.102395 | − | 0.0455892i | ||||
\(186\) | 5.58039 | − | 9.66553i | 0.409174 | − | 0.708711i | ||||
\(187\) | −3.76085 | + | 0.283348i | −0.275021 | + | 0.0207205i | ||||
\(188\) | −2.47007 | −0.180148 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.0562 | − | 49.4160i | 1.16484 | − | 3.58502i | ||||
\(191\) | 6.65313 | − | 7.38905i | 0.481404 | − | 0.534653i | −0.452696 | − | 0.891665i | \(-0.649538\pi\) |
0.934100 | + | 0.357012i | \(0.116204\pi\) | |||||||
\(192\) | −1.17118 | − | 11.1431i | −0.0845228 | − | 0.804181i | ||||
\(193\) | −0.387450 | − | 3.68634i | −0.0278893 | − | 0.265349i | −0.999577 | − | 0.0290801i | \(-0.990742\pi\) |
0.971688 | − | 0.236268i | \(-0.0759245\pi\) | |||||||
\(194\) | −24.5252 | + | 27.2380i | −1.76081 | + | 1.95558i | ||||
\(195\) | −1.13319 | + | 3.48760i | −0.0811495 | + | 0.249752i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.91982 | 0.421770 | 0.210885 | − | 0.977511i | \(-0.432365\pi\) | ||||
0.210885 | + | 0.977511i | \(0.432365\pi\) | |||||||
\(198\) | −0.739651 | + | 3.03615i | −0.0525647 | + | 0.215770i | ||||
\(199\) | −5.74211 | + | 9.94563i | −0.407047 | + | 0.705027i | −0.994557 | − | 0.104190i | \(-0.966775\pi\) |
0.587510 | + | 0.809217i | \(0.300108\pi\) | |||||||
\(200\) | 32.9714 | − | 14.6798i | 2.33143 | − | 1.03802i | ||||
\(201\) | −9.77821 | + | 2.07842i | −0.689702 | + | 0.146601i | ||||
\(202\) | 6.57039 | + | 20.2216i | 0.462291 | + | 1.42279i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −6.08039 | + | 4.41766i | −0.425713 | + | 0.309298i | ||||
\(205\) | 13.6935 | − | 15.2082i | 0.956397 | − | 1.06219i | ||||
\(206\) | −1.53991 | − | 1.71024i | −0.107291 | − | 0.119158i | ||||
\(207\) | 2.32643 | − | 1.03580i | 0.161698 | − | 0.0719927i | ||||
\(208\) | 1.47610 | + | 2.55668i | 0.102349 | + | 0.177274i | ||||
\(209\) | 3.60618 | + | 19.8266i | 0.249445 | + | 1.37143i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.05857 | − | 5.12835i | −0.485932 | − | 0.353050i | 0.317686 | − | 0.948196i | \(-0.397094\pi\) |
−0.803618 | + | 0.595146i | \(0.797094\pi\) | |||||||
\(212\) | −39.2457 | + | 8.34193i | −2.69541 | + | 0.572926i | ||||
\(213\) | −8.57314 | − | 1.82228i | −0.587422 | − | 0.124860i | ||||
\(214\) | −1.70747 | − | 16.2455i | −0.116720 | − | 1.11052i | ||||
\(215\) | −27.5790 | − | 12.2790i | −1.88087 | − | 0.837419i | ||||
\(216\) | 8.69598 | + | 26.7635i | 0.591686 | + | 1.82102i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 8.23210 | + | 5.98097i | 0.557548 | + | 0.405083i | ||||
\(219\) | 5.42202 | + | 9.39121i | 0.366386 | + | 0.634599i | ||||
\(220\) | −28.7154 | + | 37.1649i | −1.93599 | + | 2.50566i | ||||
\(221\) | −0.371708 | + | 0.643817i | −0.0250038 | + | 0.0433078i | ||||
\(222\) | −0.183467 | + | 1.74557i | −0.0123135 | + | 0.117155i | ||||
\(223\) | 3.19302 | − | 9.82712i | 0.213821 | − | 0.658072i | −0.785415 | − | 0.618970i | \(-0.787550\pi\) |
0.999235 | − | 0.0391023i | \(-0.0124498\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.16875 | − | 1.57569i | 0.144583 | − | 0.105046i | ||||
\(226\) | −42.4234 | − | 18.8881i | −2.82196 | − | 1.25642i | ||||
\(227\) | 12.9790 | + | 2.75877i | 0.861446 | + | 0.183106i | 0.617392 | − | 0.786656i | \(-0.288189\pi\) |
0.244054 | + | 0.969762i | \(0.421523\pi\) | |||||||
\(228\) | 26.8711 | + | 29.8434i | 1.77958 | + | 1.97642i | ||||
\(229\) | 0.260927 | − | 2.48255i | 0.0172425 | − | 0.164052i | −0.982512 | − | 0.186198i | \(-0.940383\pi\) |
0.999755 | + | 0.0221465i | \(0.00705002\pi\) | |||||||
\(230\) | 57.0135 | 3.75936 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −23.5199 | −1.54415 | ||||||||
\(233\) | 1.00388 | − | 9.55127i | 0.0657663 | − | 0.625725i | −0.911146 | − | 0.412084i | \(-0.864801\pi\) |
0.976912 | − | 0.213641i | \(-0.0685323\pi\) | |||||||
\(234\) | 0.412164 | + | 0.457755i | 0.0269440 | + | 0.0299244i | ||||
\(235\) | −2.05053 | − | 0.435855i | −0.133762 | − | 0.0284320i | ||||
\(236\) | 6.32157 | + | 2.81454i | 0.411499 | + | 0.183211i | ||||
\(237\) | 3.47381 | − | 2.52387i | 0.225648 | − | 0.163943i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.71914 | − | 5.29098i | 0.111202 | − | 0.342245i | −0.879934 | − | 0.475096i | \(-0.842413\pi\) |
0.991136 | + | 0.132851i | \(0.0424132\pi\) | |||||||
\(240\) | −2.64774 | + | 25.1916i | −0.170911 | + | 1.62611i | ||||
\(241\) | −7.51038 | + | 13.0084i | −0.483786 | + | 0.837942i | −0.999827 | − | 0.0186224i | \(-0.994072\pi\) |
0.516041 | + | 0.856564i | \(0.327405\pi\) | |||||||
\(242\) | 4.42365 | − | 26.7710i | 0.284363 | − | 1.72091i | ||||
\(243\) | 1.97214 | + | 3.41584i | 0.126513 | + | 0.219126i | ||||
\(244\) | −22.6639 | − | 16.4663i | −1.45090 | − | 1.05414i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7.28074 | + | 22.4078i | 0.464203 | + | 1.42867i | ||||
\(247\) | 3.62879 | + | 1.61564i | 0.230895 | + | 0.102801i | ||||
\(248\) | −1.50314 | − | 14.3014i | −0.0954494 | − | 0.908140i | ||||
\(249\) | 10.5985 | + | 2.25278i | 0.671654 | + | 0.142764i | ||||
\(250\) | 16.8817 | − | 3.58832i | 1.06769 | − | 0.226946i | ||||
\(251\) | −22.3394 | − | 16.2305i | −1.41005 | − | 1.02446i | −0.993315 | − | 0.115436i | \(-0.963173\pi\) |
−0.416738 | − | 0.909027i | \(-0.636827\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −19.4677 | + | 10.4861i | −1.22393 | + | 0.659253i | ||||
\(254\) | 9.82542 | + | 17.0181i | 0.616502 | + | 1.06781i | ||||
\(255\) | −5.82716 | + | 2.59442i | −0.364911 | + | 0.162469i | ||||
\(256\) | −21.7464 | − | 24.1519i | −1.35915 | − | 1.50949i | ||||
\(257\) | −19.0488 | + | 21.1558i | −1.18823 | + | 1.31966i | −0.252230 | + | 0.967667i | \(0.581164\pi\) |
−0.936001 | + | 0.351997i | \(0.885503\pi\) | |||||||
\(258\) | 28.1187 | − | 20.4295i | 1.75060 | − | 1.27188i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.86077 | + | 8.80454i | 0.177417 | + | 0.546034i | ||||
\(261\) | −1.70877 | + | 0.363211i | −0.105770 | + | 0.0224822i | ||||
\(262\) | −10.8281 | + | 4.82096i | −0.668959 | + | 0.297840i | ||||
\(263\) | −7.09017 | + | 12.2805i | −0.437199 | + | 0.757250i | −0.997472 | − | 0.0710574i | \(-0.977363\pi\) |
0.560274 | + | 0.828308i | \(0.310696\pi\) | |||||||
\(264\) | −10.4757 | − | 25.5315i | −0.644736 | − | 1.57136i | ||||
\(265\) | −34.0519 | −2.09179 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.349107 | − | 1.07444i | 0.0213650 | − | 0.0657546i | ||||
\(268\) | −16.8867 | + | 18.7546i | −1.03152 | + | 1.14562i | ||||
\(269\) | 2.52893 | + | 24.0611i | 0.154191 | + | 1.46703i | 0.748681 | + | 0.662930i | \(0.230687\pi\) |
−0.594490 | + | 0.804103i | \(0.702646\pi\) | |||||||
\(270\) | 4.89140 | + | 46.5386i | 0.297681 | + | 2.83225i | ||||
\(271\) | 4.98486 | − | 5.53624i | 0.302808 | − | 0.336303i | −0.572467 | − | 0.819928i | \(-0.694013\pi\) |
0.875275 | + | 0.483625i | \(0.160680\pi\) | |||||||
\(272\) | −1.58684 | + | 4.88381i | −0.0962166 | + | 0.296124i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −53.9665 | −3.26024 | ||||||||
\(275\) | −17.7502 | + | 15.0579i | −1.07038 | + | 0.908025i | ||||
\(276\) | −22.0323 | + | 38.1611i | −1.32619 | + | 2.29703i | ||||
\(277\) | −17.5300 | + | 7.80487i | −1.05328 | + | 0.468949i | −0.858988 | − | 0.511995i | \(-0.828907\pi\) |
−0.194289 | + | 0.980944i | \(0.562240\pi\) | |||||||
\(278\) | 47.8071 | − | 10.1617i | 2.86728 | − | 0.609459i | ||||
\(279\) | −0.330060 | − | 1.01582i | −0.0197602 | − | 0.0608155i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.53764 | − | 1.11716i | 0.0917279 | − | 0.0666442i | −0.540976 | − | 0.841038i | \(-0.681945\pi\) |
0.632704 | + | 0.774394i | \(0.281945\pi\) | |||||||
\(282\) | 1.61496 | − | 1.79360i | 0.0961697 | − | 0.106807i | ||||
\(283\) | 4.85238 | + | 5.38912i | 0.288444 | + | 0.320350i | 0.869900 | − | 0.493228i | \(-0.164183\pi\) |
−0.581456 | + | 0.813578i | \(0.697517\pi\) | |||||||
\(284\) | −20.2137 | + | 8.99971i | −1.19946 | + | 0.534035i | ||||
\(285\) | 17.0411 | + | 29.5160i | 1.00943 | + | 1.74838i | ||||
\(286\) | −3.86734 | − | 3.69460i | −0.228680 | − | 0.218466i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.263932 | + | 0.191758i | 0.0155523 | + | 0.0112994i | ||||
\(289\) | 15.3636 | − | 3.26564i | 0.903744 | − | 0.192097i | ||||
\(290\) | −38.2562 | − | 8.13161i | −2.24648 | − | 0.477505i | ||||
\(291\) | −2.51306 | − | 23.9102i | −0.147318 | − | 1.40164i | ||||
\(292\) | 25.0092 | + | 11.1348i | 1.46356 | + | 0.651617i | ||||
\(293\) | −1.01078 | − | 3.11088i | −0.0590507 | − | 0.181739i | 0.917180 | − | 0.398473i | \(-0.130460\pi\) |
−0.976231 | + | 0.216734i | \(0.930460\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.75122 | + | 3.45197i | 0.276627 | + | 0.200981i | ||||
\(296\) | 1.13074 | + | 1.95850i | 0.0657230 | + | 0.113836i | ||||
\(297\) | −10.2297 | − | 14.9913i | −0.593587 | − | 0.869886i | ||||
\(298\) | −3.90004 | + | 6.75507i | −0.225923 | + | 0.391310i | ||||
\(299\) | −0.455599 | + | 4.33474i | −0.0263480 | + | 0.250684i | ||||
\(300\) | −14.3339 | + | 44.1152i | −0.827569 | + | 2.54699i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −17.8171 | + | 12.9449i | −1.02526 | + | 0.744894i | ||||
\(303\) | −12.7410 | − | 5.67267i | −0.731953 | − | 0.325887i | ||||
\(304\) | 26.8384 | + | 5.70468i | 1.53929 | + | 0.327186i | ||||
\(305\) | −15.9089 | − | 17.6686i | −0.910941 | − | 1.01170i | ||||
\(306\) | −0.111995 | + | 1.06557i | −0.00640236 | + | 0.0609143i | ||||
\(307\) | 31.6121 | 1.80420 | 0.902099 | − | 0.431530i | \(-0.142026\pi\) | ||||
0.902099 | + | 0.431530i | \(0.142026\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.50956 | 0.0858758 | ||||||||
\(310\) | 2.49955 | − | 23.7816i | 0.141965 | − | 1.35071i | ||||
\(311\) | −6.04779 | − | 6.71676i | −0.342939 | − | 0.380872i | 0.546861 | − | 0.837224i | \(-0.315823\pi\) |
−0.889800 | + | 0.456351i | \(0.849156\pi\) | |||||||
\(312\) | −5.32089 | − | 1.13099i | −0.301236 | − | 0.0640297i | ||||
\(313\) | 13.2455 | + | 5.89729i | 0.748681 | + | 0.333334i | 0.745362 | − | 0.666660i | \(-0.232277\pi\) |
0.00331948 | + | 0.999994i | \(0.498943\pi\) | |||||||
\(314\) | −2.27437 | + | 1.65243i | −0.128350 | + | 0.0932518i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.34973 | − | 10.3094i | 0.188437 | − | 0.579950i | ||||
\(317\) | 1.92514 | − | 18.3165i | 0.108127 | − | 1.02876i | −0.797106 | − | 0.603839i | \(-0.793637\pi\) |
0.905233 | − | 0.424916i | \(-0.139697\pi\) | |||||||
\(318\) | 19.6020 | − | 33.9516i | 1.09922 | − | 1.90391i | ||||
\(319\) | 14.5585 | − | 4.25957i | 0.815118 | − | 0.238490i | ||||
\(320\) | −12.0031 | − | 20.7899i | −0.670992 | − | 1.16219i | ||||
\(321\) | 8.66846 | + | 6.29801i | 0.483826 | + | 0.351520i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.13511 | + | 6.57120i | 0.118801 | + | 0.365632i | ||||
\(324\) | −28.7641 | − | 12.8066i | −1.59800 | − | 0.711477i | ||||
\(325\) | 0.479595 | + | 4.56304i | 0.0266032 | + | 0.253112i | ||||
\(326\) | 12.2265 | + | 2.59882i | 0.677161 | + | 0.143935i | ||||
\(327\) | −6.52865 | + | 1.38771i | −0.361035 | + | 0.0767404i | ||||
\(328\) | 24.5596 | + | 17.8436i | 1.35608 | + | 0.985246i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −8.21217 | − | 45.1501i | −0.452065 | − | 2.48543i | ||||
\(331\) | 3.23826 | + | 5.60884i | 0.177991 | + | 0.308290i | 0.941192 | − | 0.337871i | \(-0.109707\pi\) |
−0.763201 | + | 0.646161i | \(0.776373\pi\) | |||||||
\(332\) | 24.9891 | − | 11.1259i | 1.37145 | − | 0.610611i | ||||
\(333\) | 0.112396 | + | 0.124828i | 0.00615925 | + | 0.00684054i | ||||
\(334\) | −32.5275 | + | 36.1255i | −1.77983 | + | 1.97670i | ||||
\(335\) | −17.3279 | + | 12.5894i | −0.946723 | + | 0.687834i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.93346 | + | 5.95059i | 0.105322 | + | 0.324149i | 0.989806 | − | 0.142422i | \(-0.0454891\pi\) |
−0.884484 | + | 0.466571i | \(0.845489\pi\) | |||||||
\(338\) | 30.3355 | − | 6.44802i | 1.65004 | − | 0.350726i | ||||
\(339\) | 27.8273 | − | 12.3895i | 1.51137 | − | 0.672906i | ||||
\(340\) | −8.05150 | + | 13.9456i | −0.436654 | + | 0.756307i | ||||
\(341\) | 3.52048 | + | 8.58015i | 0.190645 | + | 0.464641i | ||||
\(342\) | 5.72487 | 0.309566 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 13.8385 | − | 42.5906i | 0.746124 | − | 2.29633i | ||||
\(345\) | −25.0239 | + | 27.7918i | −1.34724 | + | 1.49626i | ||||
\(346\) | 3.71161 | + | 35.3136i | 0.199537 | + | 1.89847i | ||||
\(347\) | −2.37443 | − | 22.5912i | −0.127466 | − | 1.21276i | −0.852008 | − | 0.523528i | \(-0.824615\pi\) |
0.724542 | − | 0.689230i | \(-0.242051\pi\) | |||||||
\(348\) | 20.2265 | − | 22.4638i | 1.08426 | − | 1.20419i | ||||
\(349\) | 9.17597 | − | 28.2407i | 0.491178 | − | 1.51169i | −0.331651 | − | 0.943402i | \(-0.607606\pi\) |
0.822829 | − | 0.568289i | \(-0.192394\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.57742 | −0.190948 | ||||||||
\(352\) | −2.41035 | − | 1.48816i | −0.128472 | − | 0.0793192i | ||||
\(353\) | 3.41253 | − | 5.91068i | 0.181631 | − | 0.314594i | −0.760805 | − | 0.648980i | \(-0.775196\pi\) |
0.942436 | + | 0.334387i | \(0.108529\pi\) | |||||||
\(354\) | −6.17686 | + | 2.75011i | −0.328296 | + | 0.146167i | ||||
\(355\) | −18.3685 | + | 3.90434i | −0.974897 | + | 0.207221i | ||||
\(356\) | −0.881328 | − | 2.71245i | −0.0467103 | − | 0.143760i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.30801 | − | 6.76266i | 0.491944 | − | 0.357418i | ||||
\(359\) | −4.85769 | + | 5.39501i | −0.256379 | + | 0.284738i | −0.857570 | − | 0.514368i | \(-0.828027\pi\) |
0.601191 | + | 0.799106i | \(0.294693\pi\) | |||||||
\(360\) | 4.55654 | + | 5.06055i | 0.240151 | + | 0.266714i | ||||
\(361\) | 16.3689 | − | 7.28792i | 0.861523 | − | 0.383575i | ||||
\(362\) | −12.2202 | − | 21.1661i | −0.642282 | − | 1.11247i | ||||
\(363\) | 11.1082 | + | 13.9065i | 0.583030 | + | 0.729900i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.7967 | + | 13.6566i | 0.983863 | + | 0.714818i | ||||
\(366\) | 26.7746 | − | 5.69112i | 1.39953 | − | 0.297479i | ||||
\(367\) | 35.5426 | + | 7.55481i | 1.85531 | + | 0.394358i | 0.993591 | − | 0.113034i | \(-0.0360568\pi\) |
0.861716 | + | 0.507391i | \(0.169390\pi\) | |||||||
\(368\) | 3.14705 | + | 29.9421i | 0.164051 | + | 1.56084i | ||||
\(369\) | 2.05986 | + | 0.917111i | 0.107232 | + | 0.0477429i | ||||
\(370\) | 1.16209 | + | 3.57654i | 0.0604140 | + | 0.185935i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 14.9519 | + | 10.8632i | 0.775222 | + | 0.563232i | ||||
\(373\) | 7.14567 | + | 12.3767i | 0.369989 | + | 0.640839i | 0.989563 | − | 0.144098i | \(-0.0460282\pi\) |
−0.619575 | + | 0.784938i | \(0.712695\pi\) | |||||||
\(374\) | 0.274598 | − | 9.29926i | 0.0141991 | − | 0.480853i | ||||
\(375\) | −5.66042 | + | 9.80413i | −0.292303 | + | 0.506283i | ||||
\(376\) | 0.325054 | − | 3.09269i | 0.0167634 | − | 0.159493i | ||||
\(377\) | 0.923955 | − | 2.84364i | 0.0475861 | − | 0.146455i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.05917 | − | 1.49608i | 0.105773 | − | 0.0768482i | −0.533642 | − | 0.845711i | \(-0.679177\pi\) |
0.639414 | + | 0.768862i | \(0.279177\pi\) | |||||||
\(380\) | 78.6026 | + | 34.9961i | 4.03223 | + | 1.79526i | ||||
\(381\) | −12.6081 | − | 2.67994i | −0.645935 | − | 0.137298i | ||||
\(382\) | 16.4115 | + | 18.2268i | 0.839685 | + | 0.932565i | ||||
\(383\) | 2.41844 | − | 23.0100i | 0.123577 | − | 1.17575i | −0.740380 | − | 0.672188i | \(-0.765355\pi\) |
0.863957 | − | 0.503565i | \(-0.167979\pi\) | |||||||
\(384\) | 30.4023 | 1.55146 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.14330 | 0.465382 | ||||||||
\(387\) | 0.347687 | − | 3.30802i | 0.0176739 | − | 0.168156i | ||||
\(388\) | −40.6124 | − | 45.1046i | −2.06178 | − | 2.28984i | ||||
\(389\) | −29.6002 | − | 6.29171i | −1.50079 | − | 0.319002i | −0.617027 | − | 0.786942i | \(-0.711663\pi\) |
−0.883761 | + | 0.467939i | \(0.844997\pi\) | |||||||
\(390\) | −8.26367 | − | 3.67922i | −0.418447 | − | 0.186305i | ||||
\(391\) | −6.13356 | + | 4.45629i | −0.310188 | + | 0.225364i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.40253 | − | 7.39422i | 0.121191 | − | 0.372989i | ||||
\(394\) | −1.52639 | + | 14.5226i | −0.0768983 | + | 0.731639i | ||||
\(395\) | 4.59992 | − | 7.96730i | 0.231447 | − | 0.400878i | ||||
\(396\) | −4.87212 | − | 1.74365i | −0.244833 | − | 0.0876216i | ||||
\(397\) | 11.3370 | + | 19.6363i | 0.568989 | + | 0.985518i | 0.996666 | + | 0.0815862i | \(0.0259986\pi\) |
−0.427677 | + | 0.903931i | \(0.640668\pi\) | |||||||
\(398\) | −22.9182 | − | 16.6511i | −1.14879 | − | 0.834643i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.79361 | + | 30.1416i | 0.489680 | + | 1.50708i | ||||
\(401\) | −14.8164 | − | 6.59669i | −0.739896 | − | 0.329423i | 0.00194545 | − | 0.999998i | \(-0.499381\pi\) |
−0.741842 | + | 0.670575i | \(0.766047\pi\) | |||||||
\(402\) | −2.57758 | − | 24.5240i | −0.128558 | − | 1.22315i | ||||
\(403\) | 1.78814 | + | 0.380082i | 0.0890738 | + | 0.0189332i | ||||
\(404\) | −34.4396 | + | 7.32037i | −1.71343 | + | 0.364202i | ||||
\(405\) | −21.6188 | − | 15.7070i | −1.07425 | − | 0.780485i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.05461 | − | 1.00750i | −0.0522750 | − | 0.0499401i | ||||
\(408\) | −4.73103 | − | 8.19439i | −0.234221 | − | 0.405683i | ||||
\(409\) | −32.0302 | + | 14.2608i | −1.58379 | + | 0.705149i | −0.994691 | − | 0.102910i | \(-0.967185\pi\) |
−0.589101 | + | 0.808060i | \(0.700518\pi\) | |||||||
\(410\) | 33.7782 | + | 37.5145i | 1.66819 | + | 1.85271i | ||||
\(411\) | 23.6865 | − | 26.3065i | 1.16837 | − | 1.29761i | ||||
\(412\) | 3.08310 | − | 2.24000i | 0.151893 | − | 0.110357i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.94118 | + | 5.97432i | 0.0954036 | + | 0.293622i | ||||
\(415\) | 22.7079 | − | 4.82672i | 1.11469 | − | 0.236934i | ||||
\(416\) | −0.510097 | + | 0.227110i | −0.0250096 | + | 0.0111350i | ||||
\(417\) | −16.0296 | + | 27.7641i | −0.784975 | + | 1.35962i | ||||
\(418\) | −49.5688 | + | 3.73458i | −2.42449 | + | 0.182664i | ||||
\(419\) | 28.2633 | 1.38075 | 0.690376 | − | 0.723451i | \(-0.257445\pi\) | ||||
0.690376 | + | 0.723451i | \(0.257445\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.26279 | + | 13.1195i | −0.207756 | + | 0.639406i | 0.791833 | + | 0.610737i | \(0.209127\pi\) |
−0.999589 | + | 0.0286688i | \(0.990873\pi\) | |||||||
\(422\) | 14.4010 | − | 15.9939i | 0.701029 | − | 0.778571i | ||||
\(423\) | −0.0241436 | − | 0.229711i | −0.00117390 | − | 0.0111689i | ||||
\(424\) | −5.28000 | − | 50.2359i | −0.256420 | − | 2.43967i | ||||
\(425\) | −5.34020 | + | 5.93090i | −0.259038 | + | 0.287691i | ||||
\(426\) | 6.68098 | − | 20.5619i | 0.323694 | − | 0.996229i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 27.0498 | 1.30750 | ||||||||
\(429\) | 3.49839 | − | 0.263573i | 0.168904 | − | 0.0127254i | ||||
\(430\) | 37.2341 | − | 64.4913i | 1.79559 | − | 3.11005i | ||||
\(431\) | 25.7346 | − | 11.4578i | 1.23959 | − | 0.551902i | 0.320989 | − | 0.947083i | \(-0.395985\pi\) |
0.918603 | + | 0.395181i | \(0.129318\pi\) | |||||||
\(432\) | −24.1710 | + | 5.13770i | −1.16293 | + | 0.247188i | ||||
\(433\) | 4.38165 | + | 13.4853i | 0.210569 | + | 0.648064i | 0.999439 | + | 0.0335038i | \(0.0106666\pi\) |
−0.788870 | + | 0.614560i | \(0.789333\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 20.7549 | − | 15.0793i | 0.995122 | − | 0.722999i | ||||
\(436\) | −11.2748 | + | 12.5219i | −0.539966 | + | 0.599693i | ||||
\(437\) | 27.1060 | + | 30.1043i | 1.29666 | + | 1.44008i | ||||
\(438\) | −24.4367 | + | 10.8799i | −1.16763 | + | 0.519863i | ||||
\(439\) | −14.0093 | − | 24.2647i | −0.668625 | − | 1.15809i | −0.978289 | − | 0.207247i | \(-0.933550\pi\) |
0.309663 | − | 0.950846i | \(-0.399784\pi\) | |||||||
\(440\) | −42.7540 | − | 40.8443i | −2.03822 | − | 1.94718i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.48358 | − | 1.07789i | −0.0705668 | − | 0.0512698i | ||||
\(443\) | −16.9581 | + | 3.60456i | −0.805706 | + | 0.171258i | −0.592312 | − | 0.805708i | \(-0.701785\pi\) |
−0.213393 | + | 0.976966i | \(0.568452\pi\) | |||||||
\(444\) | −2.84298 | − | 0.604293i | −0.134922 | − | 0.0286785i | ||||
\(445\) | −0.253013 | − | 2.40726i | −0.0119940 | − | 0.114115i | ||||
\(446\) | 23.2848 | + | 10.3670i | 1.10257 | + | 0.490894i | ||||
\(447\) | −1.58106 | − | 4.86599i | −0.0747813 | − | 0.230153i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 23.8834 | + | 17.3523i | 1.12713 | + | 0.818906i | 0.985274 | − | 0.170982i | \(-0.0546940\pi\) |
0.141853 | + | 0.989888i | \(0.454694\pi\) | |||||||
\(450\) | 3.30631 | + | 5.72671i | 0.155861 | + | 0.269959i | ||||
\(451\) | −18.4336 | − | 6.59706i | −0.868005 | − | 0.310644i | ||||
\(452\) | 38.4495 | − | 66.5965i | 1.80851 | − | 3.13244i | ||||
\(453\) | 1.51001 | − | 14.3668i | 0.0709464 | − | 0.675010i | ||||
\(454\) | −10.1144 | + | 31.1290i | −0.474693 | + | 1.46096i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −40.9019 | + | 29.7170i | −1.91541 | + | 1.39163i | ||||
\(457\) | 8.85888 | + | 3.94423i | 0.414401 | + | 0.184503i | 0.603337 | − | 0.797486i | \(-0.293837\pi\) |
−0.188936 | + | 0.981989i | \(0.560504\pi\) | |||||||
\(458\) | 6.02297 | + | 1.28022i | 0.281435 | + | 0.0598208i | ||||
\(459\) | −4.16377 | − | 4.62434i | −0.194348 | − | 0.215846i | ||||
\(460\) | −9.86865 | + | 93.8939i | −0.460128 | + | 4.37783i | ||||
\(461\) | −19.2216 | −0.895240 | −0.447620 | − | 0.894224i | \(-0.647728\pi\) | ||||
−0.447620 | + | 0.894224i | \(0.647728\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.5327 | 0.954235 | 0.477117 | − | 0.878840i | \(-0.341682\pi\) | ||||
0.477117 | + | 0.878840i | \(0.341682\pi\) | |||||||
\(464\) | 2.15885 | − | 20.5401i | 0.100222 | − | 0.953550i | ||||
\(465\) | 10.4955 | + | 11.6565i | 0.486718 | + | 0.540555i | ||||
\(466\) | 23.1725 | + | 4.92547i | 1.07345 | + | 0.228168i | ||||
\(467\) | 30.7604 | + | 13.6954i | 1.42342 | + | 0.633748i | 0.966712 | − | 0.255868i | \(-0.0823612\pi\) |
0.456710 | + | 0.889616i | \(0.349028\pi\) | |||||||
\(468\) | −0.825206 | + | 0.599547i | −0.0381452 | + | 0.0277141i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 1.59796 | − | 4.91803i | 0.0737086 | − | 0.226852i | ||||
\(471\) | 0.192754 | − | 1.83393i | 0.00888164 | − | 0.0845032i | ||||
\(472\) | −4.35589 | + | 7.54462i | −0.200496 | + | 0.347269i | ||||
\(473\) | −0.852480 | + | 28.8693i | −0.0391971 | + | 1.32741i | ||||
\(474\) | 5.29590 | + | 9.17277i | 0.243249 | + | 0.421319i | ||||
\(475\) | 34.4988 | + | 25.0649i | 1.58292 | + | 1.15006i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.15938 | − | 3.56822i | −0.0530846 | − | 0.163378i | ||||
\(478\) | 12.5367 | + | 5.58168i | 0.573414 | + | 0.255300i | ||||
\(479\) | −1.48125 | − | 14.0931i | −0.0676800 | − | 0.643932i | −0.974803 | − | 0.223067i | \(-0.928393\pi\) |
0.907123 | − | 0.420865i | \(-0.138274\pi\) | |||||||
\(480\) | −4.68621 | − | 0.996085i | −0.213895 | − | 0.0454649i | ||||
\(481\) | −0.281210 | + | 0.0597731i | −0.0128221 | + | 0.00272542i | ||||
\(482\) | −29.9758 | − | 21.7787i | −1.36536 | − | 0.991993i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 43.3227 | + | 11.9191i | 1.96921 | + | 0.541776i | ||||
\(485\) | −25.7555 | − | 44.6099i | −1.16950 | − | 2.02563i | ||||
\(486\) | −8.88830 | + | 3.95733i | −0.403182 | + | 0.179508i | ||||
\(487\) | 18.5627 | + | 20.6159i | 0.841155 | + | 0.934197i | 0.998577 | − | 0.0533345i | \(-0.0169850\pi\) |
−0.157422 | + | 0.987531i | \(0.550318\pi\) | |||||||
\(488\) | 23.5993 | − | 26.2097i | 1.06829 | − | 1.18646i | ||||
\(489\) | −6.63315 | + | 4.81927i | −0.299962 | + | 0.217935i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.06393 | − | 3.27444i | −0.0480145 | − | 0.147774i | 0.924175 | − | 0.381970i | \(-0.124754\pi\) |
−0.972189 | + | 0.234196i | \(0.924754\pi\) | |||||||
\(492\) | −38.1630 | + | 8.11181i | −1.72052 | + | 0.365708i | ||||
\(493\) | 4.75122 | − | 2.11538i | 0.213984 | − | 0.0952719i | ||||
\(494\) | −4.89919 | + | 8.48564i | −0.220425 | + | 0.381787i | ||||
\(495\) | −3.73693 | − | 2.30720i | −0.167962 | − | 0.103701i | ||||
\(496\) | 12.6275 | 0.566992 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −8.25933 | + | 25.4196i | −0.370109 | + | 1.13908i | ||||
\(499\) | −1.73253 | + | 1.92417i | −0.0775589 | + | 0.0861379i | −0.780675 | − | 0.624937i | \(-0.785125\pi\) |
0.703116 | + | 0.711075i | \(0.251791\pi\) | |||||||
\(500\) | 2.98739 | + | 28.4232i | 0.133600 | + | 1.27112i | ||||
\(501\) | −3.33304 | − | 31.7117i | −0.148909 | − | 1.41678i | ||||
\(502\) | 45.5772 | − | 50.6186i | 2.03421 | − | 2.25922i | ||||
\(503\) | −7.07731 | + | 21.7817i | −0.315561 | + | 0.971198i | 0.659961 | + | 0.751300i | \(0.270573\pi\) |
−0.975523 | + | 0.219899i | \(0.929427\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −29.8818 | −1.32972 | ||||||||
\(506\) | −20.7050 | − | 50.4624i | −0.920448 | − | 2.24333i | ||||
\(507\) | −10.1715 | + | 17.6175i | −0.451730 | + | 0.782420i | ||||
\(508\) | −29.7274 | + | 13.2355i | −1.31894 | + | 0.587229i | ||||
\(509\) | 23.5719 | − | 5.01037i | 1.04481 | − | 0.222081i | 0.346627 | − | 0.938003i | \(-0.387327\pi\) |
0.698180 | + | 0.715923i | \(0.253994\pi\) | |||||||
\(510\) | −4.86218 | − | 14.9643i | −0.215301 | − | 0.662629i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 34.4547 | − | 25.0328i | 1.52270 | − | 1.10631i | ||||
\(513\) | −22.2478 | + | 24.7087i | −0.982264 | + | 1.09092i | ||||
\(514\) | −46.9883 | − | 52.1858i | −2.07256 | − | 2.30182i | ||||
\(515\) | 2.95469 | − | 1.31551i | 0.130199 | − | 0.0579685i | ||||
\(516\) | 28.7775 | + | 49.8441i | 1.26686 | + | 2.19427i | ||||
\(517\) | 0.358897 | + | 1.97320i | 0.0157843 | + | 0.0867813i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −18.8430 | − | 13.6903i | −0.827117 | − | 0.600936i | ||||
\(520\) | −11.4003 | + | 2.42321i | −0.499937 | + | 0.106265i | ||||
\(521\) | 32.7735 | + | 6.96623i | 1.43583 | + | 0.305196i | 0.859130 | − | 0.511757i | \(-0.171005\pi\) |
0.576704 | + | 0.816953i | \(0.304338\pi\) | |||||||
\(522\) | −0.450440 | − | 4.28565i | −0.0197152 | − | 0.187578i | ||||
\(523\) | −28.4637 | − | 12.6728i | −1.24463 | − | 0.554145i | −0.324547 | − | 0.945870i | \(-0.605212\pi\) |
−0.920082 | + | 0.391725i | \(0.871879\pi\) | |||||||
\(524\) | −6.06524 | − | 18.6669i | −0.264961 | − | 0.815466i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.2987 | − | 20.5602i | −1.23388 | − | 0.896467i | ||||
\(527\) | 1.58992 | + | 2.75382i | 0.0692579 | + | 0.119958i | ||||
\(528\) | 23.2585 | − | 6.80504i | 1.01219 | − | 0.296151i | ||||
\(529\) | −10.7250 | + | 18.5762i | −0.466304 | + | 0.807662i | ||||
\(530\) | 8.78006 | − | 83.5366i | 0.381381 | − | 3.62860i | ||||
\(531\) | −0.199956 | + | 0.615402i | −0.00867736 | + | 0.0267062i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.12215 | + | 2.26838i | −0.135235 | + | 0.0982543i | ||||
\(534\) | 2.54582 | + | 1.13347i | 0.110168 | + | 0.0490502i | ||||
\(535\) | 22.4554 | + | 4.77305i | 0.970833 | + | 0.206357i | ||||
\(536\) | −21.2597 | − | 23.6113i | −0.918280 | − | 1.01985i | ||||
\(537\) | −0.788859 | + | 7.50549i | −0.0340418 | + | 0.323886i | ||||
\(538\) | −59.6793 | −2.57296 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −77.4898 | −3.33463 | ||||||||
\(541\) | −2.36309 | + | 22.4833i | −0.101597 | + | 0.966633i | 0.818384 | + | 0.574671i | \(0.194870\pi\) |
−0.919982 | + | 0.391962i | \(0.871797\pi\) | |||||||
\(542\) | 12.2963 | + | 13.6564i | 0.528171 | + | 0.586594i | ||||
\(543\) | 15.6812 | + | 3.33315i | 0.672946 | + | 0.143039i | ||||
\(544\) | −0.887277 | − | 0.395041i | −0.0380417 | − | 0.0169372i | ||||
\(545\) | −11.5694 | + | 8.40563i | −0.495577 | + | 0.360058i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.48072 | + | 26.1010i | −0.362610 | + | 1.11600i | 0.588855 | + | 0.808239i | \(0.299579\pi\) |
−0.951464 | + | 0.307759i | \(0.900421\pi\) | |||||||
\(548\) | 9.34123 | − | 88.8759i | 0.399038 | − | 3.79659i | ||||
\(549\) | 1.30980 | − | 2.26863i | 0.0559007 | − | 0.0968229i | ||||
\(550\) | −32.3635 | − | 47.4278i | −1.37998 | − | 2.02233i | ||||
\(551\) | −13.8946 | − | 24.0661i | −0.591928 | − | 1.02525i | ||||
\(552\) | −44.8808 | − | 32.6078i | −1.91025 | − | 1.38788i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −14.6271 | − | 45.0174i | −0.621444 | − | 1.91261i | ||||
\(555\) | −2.25347 | − | 1.00331i | −0.0956545 | − | 0.0425881i | ||||
\(556\) | 8.45995 | + | 80.4910i | 0.358782 | + | 3.41358i | ||||
\(557\) | 29.5893 | + | 6.28941i | 1.25374 | + | 0.266491i | 0.786473 | − | 0.617625i | \(-0.211905\pi\) |
0.467268 | + | 0.884116i | \(0.345238\pi\) | |||||||
\(558\) | 2.57713 | − | 0.547786i | 0.109099 | − | 0.0231896i | ||||
\(559\) | 4.60574 | + | 3.34626i | 0.194802 | + | 0.141532i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.41249 | + | 4.21540i | 0.186296 | + | 0.177974i | ||||
\(562\) | 2.34417 | + | 4.06022i | 0.0988828 | + | 0.171270i | ||||
\(563\) | 6.81719 | − | 3.03521i | 0.287310 | − | 0.127919i | −0.258021 | − | 0.966139i | \(-0.583070\pi\) |
0.545331 | + | 0.838221i | \(0.316404\pi\) | |||||||
\(564\) | 2.67429 | + | 2.97010i | 0.112608 | + | 0.125064i | ||||
\(565\) | 43.6702 | − | 48.5006i | 1.83722 | − | 2.04044i | ||||
\(566\) | −14.4718 | + | 10.5144i | −0.608297 | + | 0.441954i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.60815 | − | 26.4932i | −0.361190 | − | 1.11163i | ||||
\(569\) | −34.8693 | + | 7.41170i | −1.46180 | + | 0.310715i | −0.869070 | − | 0.494688i | \(-0.835282\pi\) |
−0.592727 | + | 0.805403i | \(0.701949\pi\) | |||||||
\(570\) | −76.8032 | + | 34.1950i | −3.21693 | + | 1.43227i | ||||
\(571\) | −12.9451 | + | 22.4216i | −0.541737 | + | 0.938315i | 0.457068 | + | 0.889432i | \(0.348900\pi\) |
−0.998804 | + | 0.0488835i | \(0.984434\pi\) | |||||||
\(572\) | 6.75393 | − | 5.72949i | 0.282396 | − | 0.239562i | ||||
\(573\) | −16.0880 | −0.672087 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −14.4592 | + | 44.5010i | −0.602992 | + | 1.85582i | ||||
\(576\) | 1.76986 | − | 1.96562i | 0.0737440 | − | 0.0819010i | ||||
\(577\) | −0.853351 | − | 8.11909i | −0.0355255 | − | 0.338002i | −0.997820 | − | 0.0659930i | \(-0.978979\pi\) |
0.962295 | − | 0.272009i | \(-0.0876882\pi\) | |||||||
\(578\) | 4.04992 | + | 38.5324i | 0.168454 | + | 1.60274i | ||||
\(579\) | −4.01310 | + | 4.45699i | −0.166779 | + | 0.185226i | ||||
\(580\) | 20.0136 | − | 61.5955i | 0.831020 | − | 2.55762i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 59.3048 | 2.45826 | ||||||||
\(583\) | 12.3662 | + | 30.1391i | 0.512157 | + | 1.24823i | ||||
\(584\) | −17.2327 | + | 29.8479i | −0.713093 | + | 1.23511i | ||||
\(585\) | −0.790839 | + | 0.352104i | −0.0326972 | + | 0.0145577i | ||||
\(586\) | 7.89228 | − | 1.67756i | 0.326027 | − | 0.0692992i | ||||
\(587\) | −3.85140 | − | 11.8534i | −0.158964 | − | 0.489242i | 0.839577 | − | 0.543241i | \(-0.182803\pi\) |
−0.998541 | + | 0.0539994i | \(0.982803\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.7456 | − | 9.98673i | 0.566376 | − | 0.411496i | ||||
\(590\) | −9.69350 | + | 10.7657i | −0.399075 | + | 0.443218i | ||||
\(591\) | −6.40925 | − | 7.11819i | −0.263641 | − | 0.292803i | ||||
\(592\) | −1.81417 | + | 0.807719i | −0.0745618 | + | 0.0331970i | ||||
\(593\) | 11.8353 | + | 20.4994i | 0.486019 | + | 0.841809i | 0.999871 | − | 0.0160697i | \(-0.00511535\pi\) |
−0.513852 | + | 0.857879i | \(0.671782\pi\) | |||||||
\(594\) | 39.4147 | − | 21.2303i | 1.61720 | − | 0.871088i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −10.4497 | − | 7.59212i | −0.428034 | − | 0.310985i | ||||
\(597\) | 18.1758 | − | 3.86339i | 0.743886 | − | 0.158118i | ||||
\(598\) | −10.5166 | − | 2.23537i | −0.430055 | − | 0.0914111i | ||||
\(599\) | −4.07461 | − | 38.7673i | −0.166484 | − | 1.58399i | −0.684755 | − | 0.728774i | \(-0.740091\pi\) |
0.518271 | − | 0.855217i | \(-0.326576\pi\) | |||||||
\(600\) | −53.3488 | − | 23.7524i | −2.17796 | − | 0.969688i | ||||
\(601\) | 9.44078 | + | 29.0557i | 0.385097 | + | 1.18521i | 0.936410 | + | 0.350909i | \(0.114127\pi\) |
−0.551312 | + | 0.834299i | \(0.685873\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.90919 | − | 1.38711i | −0.0777483 | − | 0.0564875i | ||||
\(604\) | −18.2345 | − | 31.5831i | −0.741952 | − | 1.28510i | ||||
\(605\) | 33.8613 | + | 17.5391i | 1.37666 | + | 0.713066i | ||||
\(606\) | 17.2015 | − | 29.7939i | 0.698763 | − | 1.21029i | ||||
\(607\) | −3.93208 | + | 37.4112i | −0.159598 | + | 1.51848i | 0.562565 | + | 0.826753i | \(0.309814\pi\) |
−0.722164 | + | 0.691722i | \(0.756852\pi\) | |||||||
\(608\) | −1.60366 | + | 4.93555i | −0.0650369 | + | 0.200163i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 47.4470 | − | 34.4723i | 1.92107 | − | 1.39574i | ||||
\(611\) | 0.361148 | + | 0.160793i | 0.0146105 | + | 0.00650501i | ||||
\(612\) | −1.73546 | − | 0.368884i | −0.0701520 | − | 0.0149113i | ||||
\(613\) | 11.7949 | + | 13.0996i | 0.476392 | + | 0.529087i | 0.932660 | − | 0.360755i | \(-0.117481\pi\) |
−0.456269 | + | 0.889842i | \(0.650814\pi\) | |||||||
\(614\) | −8.15098 | + | 77.5514i | −0.328947 | + | 3.12972i | ||||
\(615\) | −33.1125 | −1.33522 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −44.4849 | −1.79089 | −0.895447 | − | 0.445168i | \(-0.853144\pi\) | ||||
−0.895447 | + | 0.445168i | \(0.853144\pi\) | |||||||
\(618\) | −0.389230 | + | 3.70328i | −0.0156571 | + | 0.148968i | ||||
\(619\) | −4.15145 | − | 4.61065i | −0.166861 | − | 0.185318i | 0.653915 | − | 0.756568i | \(-0.273125\pi\) |
−0.820776 | + | 0.571250i | \(0.806459\pi\) | |||||||
\(620\) | 38.7326 | + | 8.23288i | 1.55554 | + | 0.330640i | ||||
\(621\) | −33.3290 | − | 14.8390i | −1.33745 | − | 0.595470i | ||||
\(622\) | 18.0371 | − | 13.1047i | 0.723220 | − | 0.525450i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.47610 | − | 4.54297i | 0.0590913 | − | 0.181864i | ||||
\(625\) | 1.13263 | − | 10.7762i | 0.0453052 | − | 0.431050i | ||||
\(626\) | −17.8826 | + | 30.9736i | −0.714733 | + | 1.23795i | ||||
\(627\) | 19.9358 | − | 25.8020i | 0.796161 | − | 1.03043i | ||||
\(628\) | −2.32766 | − | 4.03162i | −0.0928836 | − | 0.160879i | ||||
\(629\) | −0.404567 | − | 0.293935i | −0.0161312 | − | 0.0117200i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.8457 | + | 42.6128i | 0.551190 | + | 1.69639i | 0.705799 | + | 0.708412i | \(0.250588\pi\) |
−0.154609 | + | 0.987976i | \(0.549412\pi\) | |||||||
\(632\) | 12.4672 | + | 5.55076i | 0.495919 | + | 0.220798i | ||||
\(633\) | 1.47564 | + | 14.0398i | 0.0586516 | + | 0.558032i | ||||
\(634\) | 44.4379 | + | 9.44558i | 1.76486 | + | 0.375132i | ||||
\(635\) | −27.0137 | + | 5.74194i | −1.07201 | + | 0.227862i | ||||
\(636\) | 52.5210 | + | 38.1587i | 2.08259 | + | 1.51309i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6.69585 | + | 36.8134i | 0.265091 | + | 1.45746i | ||||
\(639\) | −1.03453 | − | 1.79186i | −0.0409253 | − | 0.0708848i | ||||
\(640\) | 59.5071 | − | 26.4943i | 2.35222 | − | 1.04728i | ||||
\(641\) | −6.87574 | − | 7.63628i | −0.271575 | − | 0.301615i | 0.591894 | − | 0.806015i | \(-0.298380\pi\) |
−0.863470 | + | 0.504400i | \(0.831714\pi\) | |||||||
\(642\) | −17.6855 | + | 19.6417i | −0.697991 | + | 0.775197i | ||||
\(643\) | 13.3039 | − | 9.66588i | 0.524656 | − | 0.381185i | −0.293699 | − | 0.955898i | \(-0.594886\pi\) |
0.818355 | + | 0.574713i | \(0.194886\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 15.0945 | + | 46.4561i | 0.594346 | + | 1.82921i | ||||
\(646\) | −16.6711 | + | 3.54356i | −0.655917 | + | 0.139419i | ||||
\(647\) | −24.6371 | + | 10.9691i | −0.968584 | + | 0.431241i | −0.829172 | − | 0.558993i | \(-0.811188\pi\) |
−0.139412 | + | 0.990235i | \(0.544521\pi\) | |||||||
\(648\) | 19.8199 | − | 34.3291i | 0.778601 | − | 1.34858i | ||||
\(649\) | 1.32987 | − | 5.45889i | 0.0522018 | − | 0.214280i | ||||
\(650\) | −11.3178 | −0.443921 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.39623 | + | 19.6856i | −0.250496 | + | 0.770947i | ||||
\(653\) | 4.75486 | − | 5.28080i | 0.186072 | − | 0.206654i | −0.642891 | − | 0.765958i | \(-0.722265\pi\) |
0.828962 | + | 0.559304i | \(0.188932\pi\) | |||||||
\(654\) | −1.72098 | − | 16.3740i | −0.0672956 | − | 0.640275i | ||||
\(655\) | −1.74122 | − | 16.5666i | −0.0680350 | − | 0.647310i | ||||
\(656\) | −17.8372 | + | 19.8103i | −0.696427 | + | 0.773461i | ||||
\(657\) | −0.791062 | + | 2.43464i | −0.0308623 | + | 0.0949843i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −32.6279 | −1.27100 | −0.635502 | − | 0.772099i | \(-0.719207\pi\) | ||||
−0.635502 | + | 0.772099i | \(0.719207\pi\) | |||||||
\(660\) | 75.7778 | − | 5.70921i | 2.94965 | − | 0.222231i | ||||
\(661\) | 16.9082 | − | 29.2859i | 0.657654 | − | 1.13909i | −0.323567 | − | 0.946205i | \(-0.604882\pi\) |
0.981221 | − | 0.192885i | \(-0.0617846\pi\) | |||||||
\(662\) | −14.5947 | + | 6.49797i | −0.567238 | + | 0.252551i | ||||
\(663\) | 1.17659 | − | 0.250091i | 0.0456949 | − | 0.00971274i | ||||
\(664\) | 10.6418 | + | 32.7520i | 0.412981 | + | 1.27103i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.335211 | + | 0.243545i | −0.0129892 | + | 0.00943718i | ||||
\(667\) | 20.4034 | − | 22.6603i | 0.790022 | − | 0.877409i | ||||
\(668\) | −53.8637 | − | 59.8217i | −2.08405 | − | 2.31457i | ||||
\(669\) | −15.2735 | + | 6.80018i | −0.590506 | + | 0.262910i | ||||
\(670\) | −26.4168 | − | 45.7552i | −1.02057 | − | 1.76768i | ||||
\(671\) | −9.86094 | + | 20.4974i | −0.380677 | + | 0.791293i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.2138 | − | 13.9596i | −0.740638 | − | 0.538105i | 0.152273 | − | 0.988338i | \(-0.451341\pi\) |
−0.892911 | + | 0.450234i | \(0.851341\pi\) | |||||||
\(674\) | −15.0966 | + | 3.20889i | −0.581500 | + | 0.123602i | ||||
\(675\) | −37.5655 | − | 7.98479i | −1.44590 | − | 0.307335i | ||||
\(676\) | 5.36818 | + | 51.0748i | 0.206468 | + | 1.96442i | ||||
\(677\) | −41.6861 | − | 18.5599i | −1.60213 | − | 0.713313i | −0.605537 | − | 0.795817i | \(-0.707042\pi\) |
−0.996591 | + | 0.0825038i | \(0.973708\pi\) | |||||||
\(678\) | 23.2191 | + | 71.4611i | 0.891724 | + | 2.74445i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −16.4012 | − | 11.9162i | −0.628958 | − | 0.456965i | ||||
\(681\) | −10.7348 | − | 18.5932i | −0.411359 | − | 0.712494i | ||||
\(682\) | −21.9567 | + | 6.42418i | −0.840767 | + | 0.245994i | ||||
\(683\) | 14.4364 | − | 25.0045i | 0.552392 | − | 0.956771i | −0.445710 | − | 0.895178i | \(-0.647049\pi\) |
0.998101 | − | 0.0615931i | \(-0.0196181\pi\) | |||||||
\(684\) | −0.990936 | + | 9.42813i | −0.0378894 | + | 0.360494i | ||||
\(685\) | 23.4372 | − | 72.1322i | 0.895488 | − | 2.75603i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.26760 | + | 2.37405i | −0.124667 | + | 0.0905758i | ||||
\(688\) | 35.9246 | + | 15.9946i | 1.36961 | + | 0.609790i | ||||
\(689\) | 6.28113 | + | 1.33510i | 0.239292 | + | 0.0508631i | ||||
\(690\) | −61.7272 | − | 68.5550i | −2.34991 | − | 2.60984i | ||||
\(691\) | 2.82890 | − | 26.9152i | 0.107617 | − | 1.02390i | −0.798823 | − | 0.601567i | \(-0.794543\pi\) |
0.906439 | − | 0.422337i | \(-0.138790\pi\) | |||||||
\(692\) | −58.7994 | −2.23522 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 56.0334 | 2.12700 | ||||||||
\(695\) | −7.17994 | + | 68.3126i | −0.272351 | + | 2.59124i | ||||
\(696\) | 25.4644 | + | 28.2811i | 0.965225 | + | 1.07199i | ||||
\(697\) | −6.56610 | − | 1.39567i | −0.248709 | − | 0.0528647i | ||||
\(698\) | 66.9147 | + | 29.7923i | 2.53276 | + | 1.12766i | ||||
\(699\) | −12.5716 | + | 9.13384i | −0.475503 | + | 0.345473i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.9020 | − | 36.6305i | 0.449531 | − | 1.38352i | −0.427905 | − | 0.903823i | \(-0.640748\pi\) |
0.877437 | − | 0.479692i | \(-0.159252\pi\) | |||||||
\(702\) | 0.922415 | − | 8.77619i | 0.0348143 | − | 0.331236i | ||||
\(703\) | −1.33599 | + | 2.31400i | −0.0503878 | + | 0.0872743i | ||||
\(704\) | −14.0420 | + | 18.1739i | −0.529229 | + | 0.684955i | ||||
\(705\) | 1.69598 | + | 2.93752i | 0.0638742 | + | 0.110633i | ||||
\(706\) | 13.6203 | + | 9.89572i | 0.512606 | + | 0.372430i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −3.45991 | − | 10.6485i | −0.130031 | − | 0.400195i | ||||
\(709\) | −1.73084 | − | 0.770620i | −0.0650031 | − | 0.0289413i | 0.373978 | − | 0.927438i | \(-0.377994\pi\) |
−0.438981 | + | 0.898496i | \(0.644660\pi\) | |||||||
\(710\) | −4.84200 | − | 46.0686i | −0.181717 | − | 1.72892i | ||||
\(711\) | 0.991492 | + | 0.210748i | 0.0371839 | + | 0.00790368i | ||||
\(712\) | 3.51214 | − | 0.746528i | 0.131623 | − | 0.0279773i | ||||
\(713\) | 15.0827 | + | 10.9582i | 0.564851 | + | 0.410388i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.61778 | − | 3.56459i | 0.247491 | − | 0.133308i | ||||
\(716\) | 9.52608 | + | 16.4997i | 0.356006 | + | 0.616621i | ||||
\(717\) | −8.22333 | + | 3.66126i | −0.307106 | + | 0.136732i | ||||
\(718\) | −11.9826 | − | 13.3080i | −0.447187 | − | 0.496652i | ||||
\(719\) | 9.75407 | − | 10.8330i | 0.363765 | − | 0.404002i | −0.533281 | − | 0.845938i | \(-0.679041\pi\) |
0.897047 | + | 0.441936i | \(0.145708\pi\) | |||||||
\(720\) | −4.83766 | + | 3.51477i | −0.180289 | + | 0.130988i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 13.6582 | + | 42.0357i | 0.508307 | + | 1.56441i | ||||
\(723\) | 23.7730 | − | 5.05310i | 0.884127 | − | 0.187927i | ||||
\(724\) | 36.9731 | − | 16.4615i | 1.37409 | − | 0.611786i | ||||
\(725\) | 16.0492 | − | 27.7980i | 0.596052 | − | 1.03239i | ||||
\(726\) | −36.9798 | + | 23.6652i | −1.37245 | + | 0.878298i | ||||
\(727\) | 4.04780 | 0.150125 | 0.0750623 | − | 0.997179i | \(-0.476084\pi\) | ||||
0.0750623 | + | 0.997179i | \(0.476084\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 9.11803 | − | 28.0624i | 0.337705 | − | 1.03935i | ||||
\(730\) | −38.3492 | + | 42.5911i | −1.41937 | + | 1.57637i | ||||
\(731\) | 1.03510 | + | 9.84832i | 0.0382846 | + | 0.364253i | ||||
\(732\) | 4.73804 | + | 45.0794i | 0.175123 | + | 1.66618i | ||||
\(733\) | −15.7254 | + | 17.4648i | −0.580829 | + | 0.645076i | −0.959917 | − | 0.280285i | \(-0.909571\pi\) |
0.379088 | + | 0.925361i | \(0.376238\pi\) | |||||||
\(734\) | −27.6980 | + | 85.2457i | −1.02235 | + | 3.14648i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.69437 | −0.209897 | ||||||||
\(737\) | 17.4356 | + | 10.7648i | 0.642249 | + | 0.396528i | ||||
\(738\) | −2.78100 | + | 4.81683i | −0.102370 | + | 0.177310i | ||||
\(739\) | −29.8534 | + | 13.2916i | −1.09818 | + | 0.488939i | −0.874156 | − | 0.485645i | \(-0.838585\pi\) |
−0.224020 | + | 0.974585i | \(0.571918\pi\) | |||||||
\(740\) | −6.09124 | + | 1.29473i | −0.223919 | + | 0.0475953i | ||||
\(741\) | −1.98610 | − | 6.11260i | −0.0729614 | − | 0.224552i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.6479 | − | 10.6423i | 0.537379 | − | 0.390429i | −0.285731 | − | 0.958310i | \(-0.592237\pi\) |
0.823111 | + | 0.567881i | \(0.192237\pi\) | |||||||
\(744\) | −15.5691 | + | 17.2912i | −0.570790 | + | 0.633927i | ||||
\(745\) | −7.33514 | − | 8.14649i | −0.268739 | − | 0.298464i | ||||
\(746\) | −32.2051 | + | 14.3386i | −1.17911 | + | 0.524975i | ||||
\(747\) | 1.27893 | + | 2.21518i | 0.0467937 | + | 0.0810491i | ||||
\(748\) | 15.2671 | + | 2.06186i | 0.558222 | + | 0.0753892i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −22.5922 | − | 16.4142i | −0.824949 | − | 0.599361i | ||||
\(751\) | −8.94376 | + | 1.90105i | −0.326362 | + | 0.0693705i | −0.368179 | − | 0.929755i | \(-0.620019\pi\) |
0.0418168 | + | 0.999125i | \(0.486685\pi\) | |||||||
\(752\) | 2.67103 | + | 0.567746i | 0.0974026 | + | 0.0207036i | ||||
\(753\) | 4.67021 | + | 44.4341i | 0.170192 | + | 1.61927i | ||||
\(754\) | 6.73784 | + | 2.99988i | 0.245377 | + | 0.109249i | ||||
\(755\) | −9.56444 | − | 29.4363i | −0.348086 | − | 1.07130i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −38.3077 | − | 27.8322i | −1.39232 | − | 1.01158i | −0.995607 | − | 0.0936338i | \(-0.970152\pi\) |
−0.396710 | − | 0.917944i | \(-0.629848\pi\) | |||||||
\(758\) | 3.13926 | + | 5.43735i | 0.114023 | + | 0.197494i | ||||
\(759\) | 33.6860 | + | 12.0556i | 1.22273 | + | 0.437592i | ||||
\(760\) | −54.1613 | + | 93.8101i | −1.96464 | + | 3.40285i | ||||
\(761\) | −0.360443 | + | 3.42939i | −0.0130661 | + | 0.124315i | −0.999111 | − | 0.0421665i | \(-0.986574\pi\) |
0.986045 | + | 0.166482i | \(0.0532407\pi\) | |||||||
\(762\) | 9.82542 | − | 30.2395i | 0.355937 | − | 1.09546i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −32.8579 | + | 23.8727i | −1.18876 | + | 0.863683i | ||||
\(765\) | −1.37561 | − | 0.612460i | −0.0497352 | − | 0.0221435i | ||||
\(766\) | 55.8249 | + | 11.8659i | 2.01703 | + | 0.428734i | ||||
\(767\) | −0.741057 | − | 0.823027i | −0.0267580 | − | 0.0297178i | ||||
\(768\) | −5.49667 | + | 52.2973i | −0.198344 | + | 1.88712i | ||||
\(769\) | 34.9787 | 1.26137 | 0.630683 | − | 0.776041i | \(-0.282775\pi\) | ||||
0.630683 | + | 0.776041i | \(0.282775\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 46.0622 | 1.65889 | ||||||||
\(772\) | −1.58264 | + | 15.0578i | −0.0569605 | + | 0.541943i | ||||
\(773\) | 16.9821 | + | 18.8605i | 0.610804 | + | 0.678367i | 0.966627 | − | 0.256187i | \(-0.0824662\pi\) |
−0.355823 | + | 0.934553i | \(0.615799\pi\) | |||||||
\(774\) | 8.02564 | + | 1.70590i | 0.288476 | + | 0.0613174i | ||||
\(775\) | 17.9285 | + | 7.98226i | 0.644009 | + | 0.286731i | ||||
\(776\) | 61.8183 | − | 44.9137i | 2.21915 | − | 1.61231i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 23.0672 | − | 70.9934i | 0.826998 | − | 2.54524i | ||||
\(779\) | −3.74919 | + | 35.6712i | −0.134329 | + | 1.27805i | ||||
\(780\) | 7.48959 | − | 12.9723i | 0.268170 | − | 0.464484i | ||||
\(781\) | 10.1264 | + | 14.8399i | 0.362350 | + | 0.531014i | ||||
\(782\) | −9.35076 | − | 16.1960i | −0.334383 | − | 0.579168i | ||||
\(783\) | 20.2474 | + | 14.7106i | 0.723584 | + | 0.525715i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.22091 | − | 3.75758i | −0.0435762 | − | 0.134114i | ||||
\(786\) | 17.5202 | + | 7.80048i | 0.624923 | + | 0.278234i | ||||
\(787\) | −3.11026 | − | 29.5922i | −0.110869 | − | 1.05485i | −0.898582 | − | 0.438805i | \(-0.855402\pi\) |
0.787713 | − | 0.616042i | \(-0.211265\pi\) | |||||||
\(788\) | −23.6527 | − | 5.02753i | −0.842591 | − | 0.179098i | ||||
\(789\) | 22.4429 | − | 4.77038i | 0.798988 | − | 0.169830i | ||||
\(790\) | 18.3595 | + | 13.3389i | 0.653201 | + | 0.474578i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 2.82432 | − | 5.87075i | 0.100358 | − | 0.208608i | ||||
\(793\) | 2.24177 | + | 3.88287i | 0.0796077 | + | 0.137885i | ||||
\(794\) | −51.0953 | + | 22.7491i | −1.81330 | + | 0.807335i | ||||
\(795\) | 36.8671 | + | 40.9451i | 1.30754 | + | 1.45217i | ||||
\(796\) | 31.3892 | − | 34.8612i | 1.11256 | − | 1.23562i | ||||
\(797\) | 5.05094 | − | 3.66972i | 0.178913 | − | 0.129988i | −0.494724 | − | 0.869050i | \(-0.664731\pi\) |
0.673638 | + | 0.739062i | \(0.264731\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.212493 | + | 0.653985i | 0.00751745 | + | 0.0231363i | ||||
\(800\) | −5.86329 | + | 1.24628i | −0.207299 | + | 0.0440627i | ||||
\(801\) | 0.243637 | − | 0.108474i | 0.00860849 | − | 0.00383274i | ||||
\(802\) | 20.0034 | − | 34.6470i | 0.706346 | − | 1.22343i | ||||
\(803\) | 5.26119 | − | 21.5963i | 0.185663 | − | 0.762118i | ||||
\(804\) | 40.8340 | 1.44010 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.39349 | + | 4.28871i | −0.0490834 | + | 0.151063i | ||||
\(807\) | 26.1939 | − | 29.0913i | 0.922069 | − | 1.02406i | ||||
\(808\) | −4.63341 | − | 44.0839i | −0.163003 | − | 1.55087i | ||||
\(809\) | −4.09606 | − | 38.9714i | −0.144010 | − | 1.37016i | −0.792934 | − | 0.609307i | \(-0.791448\pi\) |
0.648925 | − | 0.760853i | \(-0.275219\pi\) | |||||||
\(810\) | 44.1069 | − | 48.9856i | 1.54976 | − | 1.72118i | ||||
\(811\) | −3.82591 | + | 11.7749i | −0.134346 | + | 0.413474i | −0.995488 | − | 0.0948906i | \(-0.969750\pi\) |
0.861142 | + | 0.508365i | \(0.169750\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −12.0539 | −0.422750 | ||||||||
\(814\) | 2.74355 | − | 2.32741i | 0.0961613 | − | 0.0815756i | ||||
\(815\) | −8.78345 | + | 15.2134i | −0.307671 | + | 0.532901i | ||||
\(816\) | 7.59049 | − | 3.37950i | 0.265720 | − | 0.118306i | ||||
\(817\) | 51.7550 | − | 11.0009i | 1.81068 | − | 0.384872i | ||||
\(818\) | −26.7260 | − | 82.2541i | −0.934452 | − | 2.87595i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −67.6284 | + | 49.1349i | −2.36168 | + | 1.71586i | ||||
\(821\) | 31.9167 | − | 35.4471i | 1.11390 | − | 1.23711i | 0.145060 | − | 0.989423i | \(-0.453662\pi\) |
0.968840 | − | 0.247688i | \(-0.0796709\pi\) | |||||||
\(822\) | 58.4282 | + | 64.8911i | 2.03792 | + | 2.26334i | ||||
\(823\) | −13.2653 | + | 5.90611i | −0.462401 | + | 0.205874i | −0.624696 | − | 0.780868i | \(-0.714777\pi\) |
0.162295 | + | 0.986742i | \(0.448110\pi\) | |||||||
\(824\) | 2.39890 | + | 4.15501i | 0.0835695 | + | 0.144747i | ||||
\(825\) | 37.3239 | + | 5.04068i | 1.29945 | + | 0.175494i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.0287 | + | 18.1844i | 0.870335 | + | 0.632335i | 0.930677 | − | 0.365843i | \(-0.119219\pi\) |
−0.0603420 | + | 0.998178i | \(0.519219\pi\) | |||||||
\(828\) | −10.1749 | + | 2.16275i | −0.353604 | + | 0.0751608i | ||||
\(829\) | −0.0839306 | − | 0.0178400i | −0.00291503 | − | 0.000619609i | 0.206454 | − | 0.978456i | \(-0.433808\pi\) |
−0.209369 | + | 0.977837i | \(0.567141\pi\) | |||||||
\(830\) | 5.98590 | + | 56.9521i | 0.207774 | + | 1.97683i | ||||
\(831\) | 28.3642 | + | 12.6285i | 0.983943 | + | 0.438080i | ||||
\(832\) | 1.39893 | + | 4.30548i | 0.0484993 | + | 0.149266i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −63.9784 | − | 46.4830i | −2.21539 | − | 1.60958i | ||||
\(835\) | −34.1592 | − | 59.1655i | −1.18213 | − | 2.04751i | ||||
\(836\) | 2.42964 | − | 82.2799i | 0.0840309 | − | 2.84571i | ||||
\(837\) | −7.65089 | + | 13.2517i | −0.264454 | + | 0.458047i | ||||
\(838\) | −7.28751 | + | 69.3360i | −0.251743 | + | 2.39517i | ||||
\(839\) | 3.30355 | − | 10.1673i | 0.114051 | − | 0.351014i | −0.877697 | − | 0.479217i | \(-0.840921\pi\) |
0.991748 | + | 0.128203i | \(0.0409208\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.53883 | − | 4.75074i | 0.225477 | − | 0.163819i | ||||
\(842\) | −31.0859 | − | 13.8403i | −1.07129 | − | 0.476970i | ||||
\(843\) | −3.00808 | − | 0.639387i | −0.103604 | − | 0.0220217i | ||||
\(844\) | 23.8472 | + | 26.4850i | 0.820854 | + | 0.911651i | ||||
\(845\) | −4.55596 | + | 43.3471i | −0.156730 | + | 1.49119i | ||||
\(846\) | 0.569756 | 0.0195886 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 44.3561 | 1.52319 | ||||||||
\(849\) | 1.22650 | − | 11.6693i | 0.0420933 | − | 0.400491i | ||||
\(850\) | −13.1728 | − | 14.6299i | −0.451825 | − | 0.501802i | ||||
\(851\) | −2.86784 | − | 0.609577i | −0.0983081 | − | 0.0208960i | ||||
\(852\) | 32.7064 | + | 14.5618i | 1.12050 | + | 0.498880i | ||||
\(853\) | −17.1514 | + | 12.4612i | −0.587252 | + | 0.426664i | −0.841331 | − | 0.540520i | \(-0.818228\pi\) |
0.254079 | + | 0.967183i | \(0.418228\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.48626 | + | 7.65192i | −0.0850283 | + | 0.261690i | ||||
\(856\) | −3.55968 | + | 33.8681i | −0.121667 | + | 1.15759i | ||||
\(857\) | 4.72680 | − | 8.18705i | 0.161464 | − | 0.279664i | −0.773930 | − | 0.633271i | \(-0.781712\pi\) |
0.935394 | + | 0.353607i | \(0.115045\pi\) | |||||||
\(858\) | −0.255434 | + | 8.65027i | −0.00872036 | + | 0.295315i | ||||
\(859\) | 19.4131 | + | 33.6244i | 0.662365 | + | 1.14725i | 0.979992 | + | 0.199035i | \(0.0637806\pi\) |
−0.317627 | + | 0.948216i | \(0.602886\pi\) | |||||||
\(860\) | 99.7640 | + | 72.4828i | 3.40192 | + | 2.47164i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.4730 | + | 66.0869i | 0.731372 | + | 2.25093i | ||||
\(863\) | −34.3535 | − | 15.2952i | −1.16941 | − | 0.520654i | −0.272191 | − | 0.962243i | \(-0.587748\pi\) |
−0.897217 | + | 0.441589i | \(0.854415\pi\) | |||||||
\(864\) | −0.488541 | − | 4.64816i | −0.0166205 | − | 0.158134i | ||||
\(865\) | −48.8124 | − | 10.3754i | −1.65967 | − | 0.352774i | ||||
\(866\) | −34.2123 | + | 7.27204i | −1.16258 | + | 0.247114i | ||||
\(867\) | −20.5606 | − | 14.9381i | −0.698274 | − | 0.507326i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.72231 | − | 1.17797i | −0.295884 | − | 0.0399599i | ||||
\(870\) | 31.6414 | + | 54.8045i | 1.07274 | + | 1.85805i | ||||
\(871\) | 3.68986 | − | 1.64283i | 0.125026 | − | 0.0556653i | ||||
\(872\) | −14.1945 | − | 15.7646i | −0.480688 | − | 0.533858i | ||||
\(873\) | 3.79766 | − | 4.21773i | 0.128531 | − | 0.142748i | ||||
\(874\) | −80.8416 | + | 58.7348i | −2.73451 | + | 1.98674i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.6880 | − | 42.1274i | −0.462475 | − | 1.42335i | ||||
\(877\) | −21.5277 | + | 4.57584i | −0.726937 | + | 0.154515i | −0.556493 | − | 0.830852i | \(-0.687854\pi\) |
−0.170444 | + | 0.985367i | \(0.554520\pi\) | |||||||
\(878\) | 63.1389 | − | 28.1113i | 2.13084 | − | 0.948709i | ||||
\(879\) | −2.64627 | + | 4.58347i | −0.0892564 | + | 0.154597i | ||||
\(880\) | 39.5940 | − | 33.5884i | 1.33471 | − | 1.13226i | ||||
\(881\) | −6.92969 | −0.233467 | −0.116734 | − | 0.993163i | \(-0.537242\pi\) | ||||
−0.116734 | + | 0.993163i | \(0.537242\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.0834 | − | 40.2666i | 0.440292 | − | 1.35508i | −0.447274 | − | 0.894397i | \(-0.647605\pi\) |
0.887566 | − | 0.460681i | \(-0.152395\pi\) | |||||||
\(884\) | 2.03194 | − | 2.25669i | 0.0683414 | − | 0.0759008i | ||||
\(885\) | −0.993276 | − | 9.45039i | −0.0333886 | − | 0.317672i | ||||
\(886\) | −4.47024 | − | 42.5315i | −0.150181 | − | 1.42887i | ||||
\(887\) | 5.39083 | − | 5.98712i | 0.181006 | − | 0.201028i | −0.645813 | − | 0.763496i | \(-0.723481\pi\) |
0.826819 | + | 0.562468i | \(0.190148\pi\) | |||||||
\(888\) | 1.13074 | − | 3.48006i | 0.0379452 | − | 0.116783i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 5.97077 | 0.200141 | ||||||||
\(891\) | −6.05109 | + | 24.8388i | −0.202719 | + | 0.832130i | ||||
\(892\) | −21.1036 | + | 36.5525i | −0.706601 | + | 1.22387i | ||||
\(893\) | 3.35654 | − | 1.49443i | 0.112322 | − | 0.0500091i | ||||
\(894\) | 12.3450 | − | 2.62401i | 0.412878 | − | 0.0877600i | ||||
\(895\) | 4.99666 | + | 15.3781i | 0.167020 | + | 0.514034i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 5.70550 | − | 4.14529i | 0.190501 | − | 0.138407i | ||||
\(898\) | −48.7272 | + | 54.1170i | −1.62605 | + | 1.80591i | ||||
\(899\) | −8.55759 | − | 9.50417i | −0.285412 | − | 0.316982i | ||||
\(900\) | −10.0034 | + | 4.45382i | −0.333448 | + | 0.148461i | ||||
\(901\) | 5.58483 | + | 9.67321i | 0.186058 | + | 0.322261i | ||||
\(902\) | 20.9370 | − | 43.5207i | 0.697127 | − | 1.44908i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 78.3232 | + | 56.9051i | 2.60499 | + | 1.89264i | ||||
\(905\) | 33.5980 | − | 7.14146i | 1.11683 | − | 0.237390i | ||||
\(906\) | 34.8555 | + | 7.40876i | 1.15800 | + | 0.246140i | ||||
\(907\) | −0.302536 | − | 2.87843i | −0.0100455 | − | 0.0955768i | 0.988350 | − | 0.152196i | \(-0.0486345\pi\) |
−0.998396 | + | 0.0566193i | \(0.981968\pi\) | |||||||
\(908\) | −49.5147 | − | 22.0454i | −1.64320 | − | 0.731601i | ||||
\(909\) | −1.01740 | − | 3.13125i | −0.0337452 | − | 0.103857i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.3826 | + | 11.9026i | 0.542779 | + | 0.394352i | 0.825116 | − | 0.564963i | \(-0.191110\pi\) |
−0.282337 | + | 0.959315i | \(0.591110\pi\) | |||||||
\(912\) | −22.1978 | − | 38.4477i | −0.735042 | − | 1.27313i | ||||
\(913\) | −12.5187 | − | 18.3458i | −0.414308 | − | 0.607157i | ||||
\(914\) | −11.9603 | + | 20.7158i | −0.395610 | + | 0.685217i | ||||
\(915\) | −4.02116 | + | 38.2588i | −0.132936 | + | 1.26480i | ||||
\(916\) | −3.15089 | + | 9.69745i | −0.104108 | + | 0.320413i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 12.4181 | − | 9.02229i | 0.409859 | − | 0.297780i | ||||
\(919\) | 17.1072 | + | 7.61660i | 0.564313 | + | 0.251248i | 0.669007 | − | 0.743256i | \(-0.266720\pi\) |
−0.104694 | + | 0.994505i | \(0.533386\pi\) | |||||||
\(920\) | −116.262 | − | 24.7124i | −3.83306 | − | 0.814742i | ||||
\(921\) | −34.2257 | − | 38.0114i | −1.12777 | − | 1.25252i | ||||
\(922\) | 4.95617 | − | 47.1548i | 0.163223 | − | 1.55296i | ||||
\(923\) | 3.54128 | 0.116563 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.08632 | −0.101478 | ||||||||
\(926\) | −5.29422 | + | 50.3712i | −0.173979 | + | 1.65530i | ||||
\(927\) | 0.238450 | + | 0.264826i | 0.00783173 | + | 0.00869802i | ||||
\(928\) | 3.82094 | + | 0.812165i | 0.125428 | + | 0.0266606i | ||||
\(929\) | −41.3563 | − | 18.4130i | −1.35686 | − | 0.604111i | −0.406036 | − | 0.913857i | \(-0.633089\pi\) |
−0.950819 | + | 0.309746i | \(0.899756\pi\) | |||||||
\(930\) | −31.3020 | + | 22.7423i | −1.02643 | + | 0.745748i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −12.1226 | + | 37.3096i | −0.397090 | + | 1.22212i | ||||
\(933\) | −1.52865 | + | 14.5441i | −0.0500458 | + | 0.476154i | ||||
\(934\) | −41.5292 | + | 71.9307i | −1.35888 | + | 2.35364i | ||||
\(935\) | 12.3102 | + | 4.40561i | 0.402587 | + | 0.144079i | ||||
\(936\) | −0.642076 | − | 1.11211i | −0.0209869 | − | 0.0363504i | ||||
\(937\) | −23.8336 | − | 17.3161i | −0.778609 | − | 0.565692i | 0.125952 | − | 0.992036i | \(-0.459801\pi\) |
−0.904561 | + | 0.426344i | \(0.859801\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.24952 | − | 22.3117i | −0.236579 | − | 0.728115i | ||||
\(940\) | 7.82276 | + | 3.48292i | 0.255150 | + | 0.113600i | ||||
\(941\) | −6.08717 | − | 57.9156i | −0.198436 | − | 1.88799i | −0.412178 | − | 0.911104i | \(-0.635232\pi\) |
0.213741 | − | 0.976890i | \(-0.431435\pi\) | |||||||
\(942\) | 4.44934 | + | 0.945736i | 0.144967 | + | 0.0308137i | ||||
\(943\) | −38.4967 | + | 8.18274i | −1.25363 | + | 0.266467i | ||||
\(944\) | −6.18897 | − | 4.49655i | −0.201434 | − | 0.146350i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −70.6028 | − | 9.53508i | −2.29550 | − | 0.310012i | ||||
\(947\) | −22.6821 | − | 39.2865i | −0.737069 | − | 1.27664i | −0.953810 | − | 0.300412i | \(-0.902876\pi\) |
0.216741 | − | 0.976229i | \(-0.430457\pi\) | |||||||
\(948\) | −16.0231 | + | 7.13392i | −0.520405 | + | 0.231699i | ||||
\(949\) | −2.93175 | − | 3.25604i | −0.0951686 | − | 0.105695i | ||||
\(950\) | −70.3849 | + | 78.1704i | −2.28359 | + | 2.53618i | ||||
\(951\) | −24.1087 | + | 17.5160i | −0.781777 | + | 0.567994i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −12.7740 | − | 39.3143i | −0.413790 | − | 1.27352i | −0.913328 | − | 0.407224i | \(-0.866497\pi\) |
0.499538 | − | 0.866292i | \(-0.333503\pi\) | |||||||
\(954\) | 9.05256 | − | 1.92418i | 0.293088 | − | 0.0622977i | ||||
\(955\) | −31.4895 | + | 14.0200i | −1.01898 | + | 0.453677i | ||||
\(956\) | −11.3623 | + | 19.6801i | −0.367484 | + | 0.636501i | ||||
\(957\) | −20.8840 | − | 12.8939i | −0.675083 | − | 0.416800i | ||||
\(958\) | 34.9555 | 1.12936 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −12.0031 | + | 36.9417i | −0.387398 | + | 1.19229i | ||||
\(961\) | −15.5109 | + | 17.2266i | −0.500351 | + | 0.555696i | ||||
\(962\) | −0.0741282 | − | 0.705282i | −0.00238999 | − | 0.0227392i | ||||
\(963\) | 0.264397 | + | 2.51557i | 0.00852006 | + | 0.0810630i | ||||
\(964\) | 41.0553 | − | 45.5966i | 1.32230 | − | 1.46857i | ||||
\(965\) | −3.97085 | + | 12.2210i | −0.127826 | + | 0.393409i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.52818 | −0.209932 | −0.104966 | − | 0.994476i | \(-0.533473\pi\) | ||||
−0.104966 | + | 0.994476i | \(0.533473\pi\) | |||||||
\(968\) | −20.6246 | + | 52.6743i | −0.662899 | + | 1.69302i | ||||
\(969\) | 5.58980 | − | 9.68182i | 0.179570 | − | 0.311025i | ||||
\(970\) | 116.079 | − | 51.6816i | 3.72706 | − | 1.65940i | ||||
\(971\) | −28.2281 | + | 6.00006i | −0.905881 | + | 0.192551i | −0.637218 | − | 0.770683i | \(-0.719915\pi\) |
−0.268663 | + | 0.963234i | \(0.586582\pi\) | |||||||
\(972\) | −4.97870 | − | 15.3229i | −0.159692 | − | 0.491482i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −55.3617 | + | 40.2226i | −1.77390 | + | 1.28882i | ||||
\(975\) | 4.96751 | − | 5.51698i | 0.159088 | − | 0.176685i | ||||
\(976\) | 20.7230 | + | 23.0152i | 0.663327 | + | 0.736700i | ||||
\(977\) | −8.20778 | + | 3.65434i | −0.262590 | + | 0.116913i | −0.533809 | − | 0.845605i | \(-0.679240\pi\) |
0.271219 | + | 0.962518i | \(0.412573\pi\) | |||||||
\(978\) | −10.1124 | − | 17.5152i | −0.323359 | − | 0.560074i | ||||
\(979\) | −2.03877 | + | 1.09816i | −0.0651593 | + | 0.0350973i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.27472 | − | 0.926136i | −0.0406986 | − | 0.0295692i | ||||
\(982\) | 8.30725 | − | 1.76576i | 0.265095 | − | 0.0563477i | ||||
\(983\) | −36.0759 | − | 7.66818i | −1.15064 | − | 0.244577i | −0.407176 | − | 0.913350i | \(-0.633487\pi\) |
−0.743467 | + | 0.668773i | \(0.766820\pi\) | |||||||
\(984\) | −5.13435 | − | 48.8501i | −0.163677 | − | 1.55728i | ||||
\(985\) | −18.7482 | − | 8.34722i | −0.597366 | − | 0.265965i | ||||
\(986\) | 3.96441 | + | 12.2012i | 0.126253 | + | 0.388566i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.1267 | − | 9.53713i | −0.417617 | − | 0.303417i | ||||
\(989\) | 29.0292 | + | 50.2800i | 0.923073 | + | 1.59881i | ||||
\(990\) | 6.62361 | − | 8.57261i | 0.210512 | − | 0.272455i | ||||
\(991\) | 1.49176 | − | 2.58380i | 0.0473873 | − | 0.0820772i | −0.841359 | − | 0.540477i | \(-0.818244\pi\) |
0.888746 | + | 0.458400i | \(0.151577\pi\) | |||||||
\(992\) | −0.249649 | + | 2.37525i | −0.00792636 | + | 0.0754143i | ||||
\(993\) | 3.23826 | − | 9.96635i | 0.102763 | − | 0.316273i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 32.2092 | − | 23.4013i | 1.02110 | − | 0.741872i | ||||
\(996\) | −40.4332 | − | 18.0020i | −1.28117 | − | 0.570416i | ||||
\(997\) | −61.4818 | − | 13.0684i | −1.94715 | − | 0.413879i | −0.993657 | − | 0.112457i | \(-0.964128\pi\) |
−0.953491 | − | 0.301422i | \(-0.902539\pi\) | |||||||
\(998\) | −4.27370 | − | 4.74642i | −0.135282 | − | 0.150245i | ||||
\(999\) | 0.251539 | − | 2.39323i | 0.00795834 | − | 0.0757186i |
(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 | 539.2.q.c.312.1 | 16 | ||
7.2 | even | 3 | inner | 539.2.q.c.422.2 | 16 | ||
7.3 | odd | 6 | 539.2.f.d.246.1 | 8 | |||
7.4 | even | 3 | 77.2.f.a.15.1 | ✓ | 8 | ||
7.5 | odd | 6 | 539.2.q.b.422.2 | 16 | |||
7.6 | odd | 2 | 539.2.q.b.312.1 | 16 | |||
11.3 | even | 5 | inner | 539.2.q.c.410.2 | 16 | ||
21.11 | odd | 6 | 693.2.m.g.631.2 | 8 | |||
77.3 | odd | 30 | 539.2.f.d.344.1 | 8 | |||
77.4 | even | 15 | 847.2.f.p.372.2 | 8 | |||
77.17 | even | 30 | 5929.2.a.bb.1.1 | 4 | |||
77.18 | odd | 30 | 847.2.f.s.372.1 | 8 | |||
77.25 | even | 15 | 77.2.f.a.36.1 | yes | 8 | ||
77.32 | odd | 6 | 847.2.f.q.323.2 | 8 | |||
77.38 | odd | 30 | 5929.2.a.bi.1.4 | 4 | |||
77.39 | odd | 30 | 847.2.a.k.1.1 | 4 | |||
77.46 | odd | 30 | 847.2.f.s.148.1 | 8 | |||
77.47 | odd | 30 | 539.2.q.b.520.1 | 16 | |||
77.53 | even | 15 | 847.2.f.p.148.2 | 8 | |||
77.58 | even | 15 | inner | 539.2.q.c.520.1 | 16 | ||
77.60 | even | 15 | 847.2.a.l.1.4 | 4 | |||
77.69 | odd | 10 | 539.2.q.b.410.2 | 16 | |||
77.74 | odd | 30 | 847.2.f.q.729.2 | 8 | |||
231.116 | even | 30 | 7623.2.a.co.1.4 | 4 | |||
231.137 | odd | 30 | 7623.2.a.ch.1.1 | 4 | |||
231.179 | odd | 30 | 693.2.m.g.190.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
77.2.f.a.15.1 | ✓ | 8 | 7.4 | even | 3 | ||
77.2.f.a.36.1 | yes | 8 | 77.25 | even | 15 | ||
539.2.f.d.246.1 | 8 | 7.3 | odd | 6 | |||
539.2.f.d.344.1 | 8 | 77.3 | odd | 30 | |||
539.2.q.b.312.1 | 16 | 7.6 | odd | 2 | |||
539.2.q.b.410.2 | 16 | 77.69 | odd | 10 | |||
539.2.q.b.422.2 | 16 | 7.5 | odd | 6 | |||
539.2.q.b.520.1 | 16 | 77.47 | odd | 30 | |||
539.2.q.c.312.1 | 16 | 1.1 | even | 1 | trivial | ||
539.2.q.c.410.2 | 16 | 11.3 | even | 5 | inner | ||
539.2.q.c.422.2 | 16 | 7.2 | even | 3 | inner | ||
539.2.q.c.520.1 | 16 | 77.58 | even | 15 | inner | ||
693.2.m.g.190.2 | 8 | 231.179 | odd | 30 | |||
693.2.m.g.631.2 | 8 | 21.11 | odd | 6 | |||
847.2.a.k.1.1 | 4 | 77.39 | odd | 30 | |||
847.2.a.l.1.4 | 4 | 77.60 | even | 15 | |||
847.2.f.p.148.2 | 8 | 77.53 | even | 15 | |||
847.2.f.p.372.2 | 8 | 77.4 | even | 15 | |||
847.2.f.q.323.2 | 8 | 77.32 | odd | 6 | |||
847.2.f.q.729.2 | 8 | 77.74 | odd | 30 | |||
847.2.f.s.148.1 | 8 | 77.46 | odd | 30 | |||
847.2.f.s.372.1 | 8 | 77.18 | odd | 30 | |||
5929.2.a.bb.1.1 | 4 | 77.17 | even | 30 | |||
5929.2.a.bi.1.4 | 4 | 77.38 | odd | 30 | |||
7623.2.a.ch.1.1 | 4 | 231.137 | odd | 30 | |||
7623.2.a.co.1.4 | 4 | 231.116 | even | 30 |