Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(347,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.347");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cy (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 347.14 | ||
Character | \(\chi\) | \(=\) | 504.347 |
Dual form | 504.2.cy.a.443.14 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28812 | − | 0.583745i | −0.910835 | − | 0.412770i | ||||
\(3\) | 0.0908862 | + | 1.72966i | 0.0524731 | + | 0.998622i | ||||
\(4\) | 1.31848 | + | 1.50386i | 0.659242 | + | 0.751931i | ||||
\(5\) | −0.177604 | −0.0794270 | −0.0397135 | − | 0.999211i | \(-0.512645\pi\) | ||||
−0.0397135 | + | 0.999211i | \(0.512645\pi\) | |||||||
\(6\) | 0.892611 | − | 2.28106i | 0.364407 | − | 0.931240i | ||||
\(7\) | 1.51672 | + | 2.16785i | 0.573267 | + | 0.819369i | ||||
\(8\) | −0.820487 | − | 2.70681i | −0.290086 | − | 0.957001i | ||||
\(9\) | −2.98348 | + | 0.314405i | −0.994493 | + | 0.104802i | ||||
\(10\) | 0.228775 | + | 0.103676i | 0.0723449 | + | 0.0327851i | ||||
\(11\) | − | 1.06437i | − | 0.320919i | −0.987042 | − | 0.160460i | \(-0.948702\pi\) | ||
0.987042 | − | 0.160460i | \(-0.0512976\pi\) | |||||||
\(12\) | −2.48135 | + | 2.41721i | −0.716303 | + | 0.697790i | ||||
\(13\) | 5.97129 | + | 3.44753i | 1.65614 | + | 0.956172i | 0.974472 | + | 0.224508i | \(0.0720775\pi\) |
0.681666 | + | 0.731664i | \(0.261256\pi\) | |||||||
\(14\) | −0.688244 | − | 3.67781i | −0.183941 | − | 0.982937i | ||||
\(15\) | −0.0161418 | − | 0.307196i | −0.00416778 | − | 0.0793175i | ||||
\(16\) | −0.523202 | + | 3.96563i | −0.130801 | + | 0.991409i | ||||
\(17\) | 4.15244 | + | 2.39741i | 1.00712 | + | 0.581458i | 0.910346 | − | 0.413849i | \(-0.135816\pi\) |
0.0967695 | + | 0.995307i | \(0.469149\pi\) | |||||||
\(18\) | 4.02660 | + | 1.33660i | 0.949078 | + | 0.315040i | ||||
\(19\) | −1.99683 | − | 3.45861i | −0.458104 | − | 0.793459i | 0.540757 | − | 0.841179i | \(-0.318138\pi\) |
−0.998861 | + | 0.0477199i | \(0.984805\pi\) | |||||||
\(20\) | −0.234168 | − | 0.267092i | −0.0523616 | − | 0.0597236i | ||||
\(21\) | −3.61180 | + | 2.82045i | −0.788159 | + | 0.615472i | ||||
\(22\) | −0.621320 | + | 1.37103i | −0.132466 | + | 0.292305i | ||||
\(23\) | −5.31404 | −1.10805 | −0.554026 | − | 0.832499i | \(-0.686909\pi\) | ||||
−0.554026 | + | 0.832499i | \(0.686909\pi\) | |||||||
\(24\) | 4.60730 | − | 1.66518i | 0.940460 | − | 0.339903i | ||||
\(25\) | −4.96846 | −0.993691 | ||||||||
\(26\) | −5.67924 | − | 7.92652i | −1.11379 | − | 1.55452i | ||||
\(27\) | −0.814972 | − | 5.13184i | −0.156842 | − | 0.987624i | ||||
\(28\) | −1.26037 | + | 5.13921i | −0.238187 | + | 0.971219i | ||||
\(29\) | 4.25714 | + | 7.37358i | 0.790531 | + | 1.36924i | 0.925639 | + | 0.378408i | \(0.123528\pi\) |
−0.135108 | + | 0.990831i | \(0.543138\pi\) | |||||||
\(30\) | −0.158531 | + | 0.405126i | −0.0289437 | + | 0.0739656i | ||||
\(31\) | −2.33155 | + | 1.34612i | −0.418758 | + | 0.241770i | −0.694546 | − | 0.719448i | \(-0.744395\pi\) |
0.275788 | + | 0.961219i | \(0.411061\pi\) | |||||||
\(32\) | 2.98886 | − | 4.80278i | 0.528362 | − | 0.849019i | ||||
\(33\) | 1.84100 | − | 0.0967364i | 0.320477 | − | 0.0168396i | ||||
\(34\) | −3.94935 | − | 5.51211i | −0.677308 | − | 0.945320i | ||||
\(35\) | −0.269376 | − | 0.385018i | −0.0455329 | − | 0.0650800i | ||||
\(36\) | −4.40649 | − | 4.07220i | −0.734415 | − | 0.678701i | ||||
\(37\) | −2.23738 | + | 1.29175i | −0.367823 | + | 0.212363i | −0.672507 | − | 0.740091i | \(-0.734782\pi\) |
0.304684 | + | 0.952453i | \(0.401449\pi\) | |||||||
\(38\) | 0.553200 | + | 5.62072i | 0.0897410 | + | 0.911802i | ||||
\(39\) | −5.42036 | + | 10.6417i | −0.867952 | + | 1.70403i | ||||
\(40\) | 0.145722 | + | 0.480740i | 0.0230407 | + | 0.0760117i | ||||
\(41\) | −5.82291 | − | 3.36186i | −0.909386 | − | 0.525034i | −0.0291525 | − | 0.999575i | \(-0.509281\pi\) |
−0.880234 | + | 0.474541i | \(0.842614\pi\) | |||||||
\(42\) | 6.29883 | − | 1.52469i | 0.971931 | − | 0.235265i | ||||
\(43\) | 3.04644 | + | 5.27660i | 0.464578 | + | 0.804673i | 0.999182 | − | 0.0404294i | \(-0.0128726\pi\) |
−0.534604 | + | 0.845103i | \(0.679539\pi\) | |||||||
\(44\) | 1.60066 | − | 1.40335i | 0.241309 | − | 0.211563i | ||||
\(45\) | 0.529878 | − | 0.0558396i | 0.0789896 | − | 0.00832408i | ||||
\(46\) | 6.84509 | + | 3.10204i | 1.00925 | + | 0.457371i | ||||
\(47\) | −5.03635 | + | 8.72321i | −0.734627 | + | 1.27241i | 0.220260 | + | 0.975441i | \(0.429310\pi\) |
−0.954887 | + | 0.296970i | \(0.904024\pi\) | |||||||
\(48\) | −6.90677 | − | 0.544543i | −0.996906 | − | 0.0785981i | ||||
\(49\) | −2.39911 | + | 6.57604i | −0.342730 | + | 0.939434i | ||||
\(50\) | 6.39995 | + | 2.90031i | 0.905089 | + | 0.410166i | ||||
\(51\) | −3.76932 | + | 7.40022i | −0.527811 | + | 1.03624i | ||||
\(52\) | 2.68844 | + | 13.5255i | 0.372820 | + | 1.87565i | ||||
\(53\) | 5.71335 | − | 9.89582i | 0.784789 | − | 1.35929i | −0.144336 | − | 0.989529i | \(-0.546105\pi\) |
0.929125 | − | 0.369766i | \(-0.120562\pi\) | |||||||
\(54\) | −1.94591 | + | 7.08614i | −0.264805 | + | 0.964302i | ||||
\(55\) | 0.189036i | 0.0254896i | ||||||||
\(56\) | 4.62349 | − | 5.88416i | 0.617840 | − | 0.786304i | ||||
\(57\) | 5.80075 | − | 3.76818i | 0.768328 | − | 0.499108i | ||||
\(58\) | −1.17940 | − | 11.9831i | −0.154862 | − | 1.57346i | ||||
\(59\) | 0.824821 | − | 0.476210i | 0.107383 | − | 0.0619973i | −0.445347 | − | 0.895358i | \(-0.646920\pi\) |
0.552729 | + | 0.833361i | \(0.313586\pi\) | |||||||
\(60\) | 0.440697 | − | 0.429307i | 0.0568937 | − | 0.0554233i | ||||
\(61\) | 8.88659 | + | 5.13067i | 1.13781 | + | 0.656915i | 0.945888 | − | 0.324495i | \(-0.105194\pi\) |
0.191923 | + | 0.981410i | \(0.438528\pi\) | |||||||
\(62\) | 3.78909 | − | 0.372928i | 0.481215 | − | 0.0473619i | ||||
\(63\) | −5.20669 | − | 5.99086i | −0.655981 | − | 0.754777i | ||||
\(64\) | −6.65360 | + | 4.44180i | −0.831700 | + | 0.555225i | ||||
\(65\) | −1.06053 | − | 0.612295i | −0.131542 | − | 0.0759458i | ||||
\(66\) | −2.42789 | − | 0.950067i | −0.298853 | − | 0.116945i | ||||
\(67\) | −0.876399 | − | 1.51797i | −0.107069 | − | 0.185449i | 0.807513 | − | 0.589850i | \(-0.200813\pi\) |
−0.914582 | + | 0.404401i | \(0.867480\pi\) | |||||||
\(68\) | 1.86955 | + | 9.40565i | 0.226716 | + | 1.14060i | ||||
\(69\) | −0.482972 | − | 9.19150i | −0.0581430 | − | 1.10653i | ||||
\(70\) | 0.122235 | + | 0.653195i | 0.0146099 | + | 0.0780717i | ||||
\(71\) | −1.88717 | −0.223966 | −0.111983 | − | 0.993710i | \(-0.535720\pi\) | ||||
−0.111983 | + | 0.993710i | \(0.535720\pi\) | |||||||
\(72\) | 3.29894 | + | 7.81774i | 0.388784 | + | 0.921329i | ||||
\(73\) | 3.09095 | − | 5.35368i | 0.361768 | − | 0.626601i | −0.626484 | − | 0.779434i | \(-0.715507\pi\) |
0.988252 | + | 0.152834i | \(0.0488399\pi\) | |||||||
\(74\) | 3.63606 | − | 0.357866i | 0.422683 | − | 0.0416011i | ||||
\(75\) | −0.451564 | − | 8.59376i | −0.0521421 | − | 0.992322i | ||||
\(76\) | 2.56848 | − | 7.56307i | 0.294625 | − | 0.867544i | ||||
\(77\) | 2.30739 | − | 1.61435i | 0.262951 | − | 0.183972i | ||||
\(78\) | 13.1941 | − | 10.5436i | 1.49393 | − | 1.19383i | ||||
\(79\) | 9.28765 | + | 5.36223i | 1.04494 | + | 0.603298i | 0.921229 | − | 0.389021i | \(-0.127186\pi\) |
0.123713 | + | 0.992318i | \(0.460520\pi\) | |||||||
\(80\) | 0.0929229 | − | 0.704313i | 0.0103891 | − | 0.0787446i | ||||
\(81\) | 8.80230 | − | 1.87604i | 0.978033 | − | 0.208449i | ||||
\(82\) | 5.53812 | + | 7.72956i | 0.611583 | + | 0.853587i | ||||
\(83\) | −1.04809 | + | 0.605117i | −0.115043 | + | 0.0664202i | −0.556417 | − | 0.830903i | \(-0.687824\pi\) |
0.441374 | + | 0.897323i | \(0.354491\pi\) | |||||||
\(84\) | −9.00366 | − | 1.71293i | −0.982380 | − | 0.186896i | ||||
\(85\) | −0.737491 | − | 0.425791i | −0.0799921 | − | 0.0461835i | ||||
\(86\) | −0.843986 | − | 8.57521i | −0.0910093 | − | 0.924689i | ||||
\(87\) | −12.3669 | + | 8.03358i | −1.32587 | + | 0.861290i | ||||
\(88\) | −2.88104 | + | 0.873301i | −0.307120 | + | 0.0930942i | ||||
\(89\) | −6.77199 | + | 3.90981i | −0.717829 | + | 0.414439i | −0.813953 | − | 0.580930i | \(-0.802689\pi\) |
0.0961239 | + | 0.995369i | \(0.469355\pi\) | |||||||
\(90\) | −0.715140 | − | 0.237386i | −0.0753824 | − | 0.0250227i | ||||
\(91\) | 1.58308 | + | 18.1738i | 0.165952 | + | 1.90513i | ||||
\(92\) | −7.00647 | − | 7.99158i | −0.730475 | − | 0.833179i | ||||
\(93\) | −2.54024 | − | 3.91045i | −0.263411 | − | 0.405495i | ||||
\(94\) | 11.5795 | − | 8.29656i | 1.19434 | − | 0.855725i | ||||
\(95\) | 0.354645 | + | 0.614263i | 0.0363858 | + | 0.0630220i | ||||
\(96\) | 8.57884 | + | 4.73323i | 0.875575 | + | 0.483083i | ||||
\(97\) | −5.90504 | − | 10.2278i | −0.599566 | − | 1.03848i | −0.992885 | − | 0.119077i | \(-0.962006\pi\) |
0.393319 | − | 0.919402i | \(-0.371327\pi\) | |||||||
\(98\) | 6.92906 | − | 7.07023i | 0.699941 | − | 0.714201i | ||||
\(99\) | 0.334643 | + | 3.17552i | 0.0336329 | + | 0.319152i | ||||
\(100\) | −6.55083 | − | 7.47187i | −0.655083 | − | 0.747187i | ||||
\(101\) | 1.37765 | 0.137082 | 0.0685408 | − | 0.997648i | \(-0.478166\pi\) | ||||
0.0685408 | + | 0.997648i | \(0.478166\pi\) | |||||||
\(102\) | 9.17517 | − | 7.33202i | 0.908477 | − | 0.725978i | ||||
\(103\) | − | 13.5979i | − | 1.33984i | −0.742434 | − | 0.669919i | \(-0.766329\pi\) | ||
0.742434 | − | 0.669919i | \(-0.233671\pi\) | |||||||
\(104\) | 4.43242 | − | 18.9918i | 0.434634 | − | 1.86230i | ||||
\(105\) | 0.641470 | − | 0.500923i | 0.0626011 | − | 0.0488851i | ||||
\(106\) | −13.1361 | + | 9.41181i | −1.27589 | + | 0.914156i | ||||
\(107\) | −1.21718 | + | 0.702739i | −0.117669 | + | 0.0679363i | −0.557679 | − | 0.830056i | \(-0.688308\pi\) |
0.440010 | + | 0.897993i | \(0.354975\pi\) | |||||||
\(108\) | 6.64306 | − | 7.99186i | 0.639229 | − | 0.769017i | ||||
\(109\) | −5.40909 | − | 3.12294i | −0.518097 | − | 0.299123i | 0.218059 | − | 0.975936i | \(-0.430027\pi\) |
−0.736156 | + | 0.676812i | \(0.763361\pi\) | |||||||
\(110\) | 0.110349 | − | 0.243501i | 0.0105214 | − | 0.0232169i | ||||
\(111\) | −2.43764 | − | 3.75251i | −0.231371 | − | 0.356173i | ||||
\(112\) | −9.39044 | + | 4.88054i | −0.887313 | + | 0.461168i | ||||
\(113\) | 12.8296 | + | 7.40717i | 1.20691 | + | 0.696808i | 0.962082 | − | 0.272760i | \(-0.0879365\pi\) |
0.244824 | + | 0.969568i | \(0.421270\pi\) | |||||||
\(114\) | −9.67169 | + | 1.46770i | −0.905837 | + | 0.137462i | ||||
\(115\) | 0.943794 | 0.0880093 | ||||||||
\(116\) | −5.47588 | + | 16.1241i | −0.508423 | + | 1.49708i | ||||
\(117\) | −18.8991 | − | 8.40822i | −1.74723 | − | 0.777340i | ||||
\(118\) | −1.34045 | + | 0.131929i | −0.123398 | + | 0.0121451i | ||||
\(119\) | 1.10088 | + | 12.6381i | 0.100917 | + | 1.15853i | ||||
\(120\) | −0.818275 | + | 0.295743i | −0.0746979 | + | 0.0269975i | ||||
\(121\) | 9.86712 | 0.897011 | ||||||||
\(122\) | −8.45195 | − | 11.7964i | −0.765203 | − | 1.06800i | ||||
\(123\) | 5.28567 | − | 10.3772i | 0.476593 | − | 0.935684i | ||||
\(124\) | −5.09848 | − | 1.73149i | −0.457857 | − | 0.155492i | ||||
\(125\) | 1.77044 | 0.158353 | ||||||||
\(126\) | 3.20968 | + | 10.7563i | 0.285941 | + | 0.958247i | ||||
\(127\) | − | 8.19860i | − | 0.727508i | −0.931495 | − | 0.363754i | \(-0.881495\pi\) | ||
0.931495 | − | 0.363754i | \(-0.118505\pi\) | |||||||
\(128\) | 11.1635 | − | 1.83755i | 0.986722 | − | 0.162418i | ||||
\(129\) | −8.84986 | + | 5.74890i | −0.779187 | + | 0.506162i | ||||
\(130\) | 1.00866 | + | 1.40778i | 0.0884650 | + | 0.123471i | ||||
\(131\) | − | 12.3743i | − | 1.08115i | −0.841297 | − | 0.540573i | \(-0.818207\pi\) | ||
0.841297 | − | 0.540573i | \(-0.181793\pi\) | |||||||
\(132\) | 2.57281 | + | 2.64107i | 0.223934 | + | 0.229875i | ||||
\(133\) | 4.46910 | − | 9.57456i | 0.387520 | − | 0.830220i | ||||
\(134\) | 0.242797 | + | 2.46691i | 0.0209745 | + | 0.213109i | ||||
\(135\) | 0.144742 | + | 0.911436i | 0.0124574 | + | 0.0784440i | ||||
\(136\) | 3.08231 | − | 13.2069i | 0.264306 | − | 1.13248i | ||||
\(137\) | 6.79477i | 0.580516i | 0.956948 | + | 0.290258i | \(0.0937411\pi\) | ||||
−0.956948 | + | 0.290258i | \(0.906259\pi\) | |||||||
\(138\) | −4.74337 | + | 12.1216i | −0.403782 | + | 1.03186i | ||||
\(139\) | 7.74862 | − | 13.4210i | 0.657229 | − | 1.13835i | −0.324101 | − | 0.946023i | \(-0.605062\pi\) |
0.981330 | − | 0.192332i | \(-0.0616050\pi\) | |||||||
\(140\) | 0.223847 | − | 0.912745i | 0.0189185 | − | 0.0771410i | ||||
\(141\) | −15.5460 | − | 7.91838i | −1.30921 | − | 0.666848i | ||||
\(142\) | 2.43089 | + | 1.10162i | 0.203996 | + | 0.0924463i | ||||
\(143\) | 3.66944 | − | 6.35565i | 0.306854 | − | 0.531487i | ||||
\(144\) | 0.314148 | − | 11.9959i | 0.0261790 | − | 0.999657i | ||||
\(145\) | −0.756085 | − | 1.30958i | −0.0627894 | − | 0.108755i | ||||
\(146\) | −7.10668 | + | 5.09183i | −0.588153 | + | 0.421403i | ||||
\(147\) | −11.5924 | − | 3.55199i | −0.956124 | − | 0.292963i | ||||
\(148\) | −4.89256 | − | 1.66156i | −0.402166 | − | 0.136579i | ||||
\(149\) | 12.3753 | 1.01382 | 0.506912 | − | 0.861998i | \(-0.330787\pi\) | ||||
0.506912 | + | 0.861998i | \(0.330787\pi\) | |||||||
\(150\) | −4.43490 | + | 11.3334i | −0.362108 | + | 0.925365i | ||||
\(151\) | − | 8.99145i | − | 0.731714i | −0.930671 | − | 0.365857i | \(-0.880776\pi\) | ||
0.930671 | − | 0.365857i | \(-0.119224\pi\) | |||||||
\(152\) | −7.72341 | + | 8.24277i | −0.626451 | + | 0.668577i | ||||
\(153\) | −13.1425 | − | 5.84709i | −1.06251 | − | 0.472709i | ||||
\(154\) | −3.91455 | + | 0.732545i | −0.315443 | + | 0.0590302i | ||||
\(155\) | 0.414092 | − | 0.239076i | 0.0332607 | − | 0.0192031i | ||||
\(156\) | −23.1502 | + | 5.87939i | −1.85350 | + | 0.470728i | ||||
\(157\) | 10.1235 | − | 5.84481i | 0.807944 | − | 0.466467i | −0.0382972 | − | 0.999266i | \(-0.512193\pi\) |
0.846241 | + | 0.532800i | \(0.178860\pi\) | |||||||
\(158\) | −8.83339 | − | 12.3288i | −0.702747 | − | 0.980825i | ||||
\(159\) | 17.6357 | + | 8.98279i | 1.39860 | + | 0.712382i | ||||
\(160\) | −0.530835 | + | 0.852993i | −0.0419662 | + | 0.0674350i | ||||
\(161\) | −8.05991 | − | 11.5200i | −0.635210 | − | 0.907904i | ||||
\(162\) | −12.4335 | − | 2.72174i | −0.976869 | − | 0.213840i | ||||
\(163\) | −7.96357 | − | 13.7933i | −0.623755 | − | 1.08038i | −0.988780 | − | 0.149378i | \(-0.952273\pi\) |
0.365025 | − | 0.930998i | \(-0.381060\pi\) | |||||||
\(164\) | −2.62164 | − | 13.1894i | −0.204716 | − | 1.02992i | ||||
\(165\) | −0.326969 | + | 0.0171808i | −0.0254545 | + | 0.00133752i | ||||
\(166\) | 1.70330 | − | 0.167641i | 0.132202 | − | 0.0130115i | ||||
\(167\) | −5.85315 | + | 10.1380i | −0.452930 | + | 0.784498i | −0.998567 | − | 0.0535237i | \(-0.982955\pi\) |
0.545636 | + | 0.838022i | \(0.316288\pi\) | |||||||
\(168\) | 10.5978 | + | 7.46230i | 0.817641 | + | 0.575729i | ||||
\(169\) | 17.2709 | + | 29.9140i | 1.32853 | + | 2.30108i | ||||
\(170\) | 0.701420 | + | 0.978974i | 0.0537965 | + | 0.0750839i | ||||
\(171\) | 7.04490 | + | 9.69087i | 0.538737 | + | 0.741079i | ||||
\(172\) | −3.91859 | + | 11.5385i | −0.298789 | + | 0.879805i | ||||
\(173\) | 10.2986 | − | 17.8377i | 0.782989 | − | 1.35618i | −0.147204 | − | 0.989106i | \(-0.547027\pi\) |
0.930193 | − | 0.367071i | \(-0.119639\pi\) | |||||||
\(174\) | 20.6196 | − | 3.12906i | 1.56316 | − | 0.237213i | ||||
\(175\) | −7.53577 | − | 10.7708i | −0.569650 | − | 0.814200i | ||||
\(176\) | 4.22090 | + | 0.556880i | 0.318162 | + | 0.0419764i | ||||
\(177\) | 0.898649 | + | 1.38338i | 0.0675466 | + | 0.103981i | ||||
\(178\) | 11.0054 | − | 1.08317i | 0.824892 | − | 0.0811872i | ||||
\(179\) | 6.69224 | + | 3.86377i | 0.500202 | + | 0.288792i | 0.728797 | − | 0.684730i | \(-0.240080\pi\) |
−0.228595 | + | 0.973522i | \(0.573413\pi\) | |||||||
\(180\) | 0.782611 | + | 0.723240i | 0.0583324 | + | 0.0539071i | ||||
\(181\) | − | 7.19456i | − | 0.534767i | −0.963590 | − | 0.267384i | \(-0.913841\pi\) | ||
0.963590 | − | 0.267384i | \(-0.0861591\pi\) | |||||||
\(182\) | 8.56966 | − | 24.3340i | 0.635225 | − | 1.80376i | ||||
\(183\) | −8.06668 | + | 15.8371i | −0.596306 | + | 1.17071i | ||||
\(184\) | 4.36010 | + | 14.3841i | 0.321431 | + | 1.06041i | ||||
\(185\) | 0.397368 | − | 0.229420i | 0.0292151 | − | 0.0168673i | ||||
\(186\) | 0.989417 | + | 6.51996i | 0.0725476 | + | 0.478067i | ||||
\(187\) | 2.55173 | − | 4.41973i | 0.186601 | − | 0.323203i | ||||
\(188\) | −19.7589 | + | 3.92744i | −1.44106 | + | 0.286438i | ||||
\(189\) | 9.88896 | − | 9.55031i | 0.719316 | − | 0.694683i | ||||
\(190\) | −0.0982507 | − | 0.998264i | −0.00712785 | − | 0.0724217i | ||||
\(191\) | −3.02233 | + | 5.23482i | −0.218688 | + | 0.378778i | −0.954407 | − | 0.298508i | \(-0.903511\pi\) |
0.735719 | + | 0.677287i | \(0.236844\pi\) | |||||||
\(192\) | −8.28754 | − | 11.1048i | −0.598102 | − | 0.801420i | ||||
\(193\) | −0.957760 | − | 1.65889i | −0.0689411 | − | 0.119409i | 0.829494 | − | 0.558515i | \(-0.188629\pi\) |
−0.898435 | + | 0.439106i | \(0.855295\pi\) | |||||||
\(194\) | 1.63593 | + | 16.6217i | 0.117453 | + | 1.19337i | ||||
\(195\) | 0.962678 | − | 1.89000i | 0.0689388 | − | 0.135346i | ||||
\(196\) | −13.0526 | + | 5.06247i | −0.932332 | + | 0.361605i | ||||
\(197\) | 6.01900 | 0.428836 | 0.214418 | − | 0.976742i | \(-0.431215\pi\) | ||||
0.214418 | + | 0.976742i | \(0.431215\pi\) | |||||||
\(198\) | 1.42264 | − | 4.28579i | 0.101102 | − | 0.304577i | ||||
\(199\) | 11.9097 | + | 6.87608i | 0.844257 | + | 0.487432i | 0.858709 | − | 0.512463i | \(-0.171267\pi\) |
−0.0144517 | + | 0.999896i | \(0.504600\pi\) | |||||||
\(200\) | 4.07656 | + | 13.4487i | 0.288256 | + | 0.950963i | ||||
\(201\) | 2.54592 | − | 1.65384i | 0.179576 | − | 0.116653i | ||||
\(202\) | −1.77458 | − | 0.804198i | −0.124859 | − | 0.0565831i | ||||
\(203\) | −9.52789 | + | 20.4125i | −0.668727 | + | 1.43268i | ||||
\(204\) | −16.0987 | + | 4.08853i | −1.12713 | + | 0.286255i | ||||
\(205\) | 1.03417 | + | 0.597080i | 0.0722298 | + | 0.0417019i | ||||
\(206\) | −7.93769 | + | 17.5156i | −0.553045 | + | 1.22037i | ||||
\(207\) | 15.8543 | − | 1.67076i | 1.10195 | − | 0.116126i | ||||
\(208\) | −16.7958 | + | 21.8762i | −1.16458 | + | 1.51684i | ||||
\(209\) | −3.68123 | + | 2.12536i | −0.254636 | + | 0.147014i | ||||
\(210\) | −1.11870 | + | 0.270792i | −0.0771975 | + | 0.0186864i | ||||
\(211\) | −8.08335 | + | 14.0008i | −0.556481 | + | 0.963853i | 0.441306 | + | 0.897357i | \(0.354515\pi\) |
−0.997787 | + | 0.0664965i | \(0.978818\pi\) | |||||||
\(212\) | 22.4149 | − | 4.45538i | 1.53946 | − | 0.305997i | ||||
\(213\) | −0.171517 | − | 3.26417i | −0.0117522 | − | 0.223657i | ||||
\(214\) | 1.97809 | − | 0.194686i | 0.135219 | − | 0.0133085i | ||||
\(215\) | −0.541061 | − | 0.937145i | −0.0369000 | − | 0.0639128i | ||||
\(216\) | −13.2222 | + | 6.41658i | −0.899659 | + | 0.436593i | ||||
\(217\) | −6.45449 | − | 3.01275i | −0.438159 | − | 0.204518i | ||||
\(218\) | 5.14453 | + | 7.18023i | 0.348432 | + | 0.486307i | ||||
\(219\) | 9.54099 | + | 4.85973i | 0.644721 | + | 0.328390i | ||||
\(220\) | −0.284284 | + | 0.249241i | −0.0191665 | + | 0.0168038i | ||||
\(221\) | 16.5303 | + | 28.6313i | 1.11195 | + | 1.92595i | ||||
\(222\) | 0.949456 | + | 6.25663i | 0.0637233 | + | 0.419918i | ||||
\(223\) | 16.6030 | − | 9.58573i | 1.11182 | − | 0.641908i | 0.172518 | − | 0.985006i | \(-0.444810\pi\) |
0.939300 | + | 0.343098i | \(0.111476\pi\) | |||||||
\(224\) | 14.9450 | − | 0.805082i | 0.998552 | − | 0.0537918i | ||||
\(225\) | 14.8233 | − | 1.56211i | 0.988219 | − | 0.104141i | ||||
\(226\) | −12.2021 | − | 17.0305i | −0.811671 | − | 1.13285i | ||||
\(227\) | 10.6633i | 0.707746i | 0.935294 | + | 0.353873i | \(0.115135\pi\) | ||||
−0.935294 | + | 0.353873i | \(0.884865\pi\) | |||||||
\(228\) | 13.3150 | + | 3.75524i | 0.881808 | + | 0.248697i | ||||
\(229\) | 12.8520i | 0.849287i | 0.905361 | + | 0.424643i | \(0.139601\pi\) | ||||
−0.905361 | + | 0.424643i | \(0.860399\pi\) | |||||||
\(230\) | −1.21572 | − | 0.550935i | −0.0801620 | − | 0.0363276i | ||||
\(231\) | 3.00200 | + | 3.84428i | 0.197517 | + | 0.252935i | ||||
\(232\) | 16.4659 | − | 17.5732i | 1.08104 | − | 1.15374i | ||||
\(233\) | 19.3586 | − | 11.1767i | 1.26822 | − | 0.732208i | 0.293571 | − | 0.955937i | \(-0.405156\pi\) |
0.974651 | + | 0.223729i | \(0.0718231\pi\) | |||||||
\(234\) | 19.4360 | + | 21.8630i | 1.27057 | + | 1.42923i | ||||
\(235\) | 0.894476 | − | 1.54928i | 0.0583492 | − | 0.101064i | ||||
\(236\) | 1.80367 | + | 0.612541i | 0.117409 | + | 0.0398730i | ||||
\(237\) | −8.43073 | + | 16.5519i | −0.547635 | + | 1.07516i | ||||
\(238\) | 5.95935 | − | 16.9219i | 0.386287 | − | 1.09689i | ||||
\(239\) | −6.58209 | + | 11.4005i | −0.425760 | + | 0.737438i | −0.996491 | − | 0.0836994i | \(-0.973326\pi\) |
0.570731 | + | 0.821137i | \(0.306660\pi\) | |||||||
\(240\) | 1.22667 | + | 0.0967131i | 0.0791813 | + | 0.00624281i | ||||
\(241\) | −12.5802 | −0.810362 | −0.405181 | − | 0.914236i | \(-0.632792\pi\) | ||||
−0.405181 | + | 0.914236i | \(0.632792\pi\) | |||||||
\(242\) | −12.7100 | − | 5.75988i | −0.817029 | − | 0.370259i | ||||
\(243\) | 4.04493 | + | 15.0545i | 0.259482 | + | 0.965748i | ||||
\(244\) | 4.00099 | + | 20.1289i | 0.256137 | + | 1.28862i | ||||
\(245\) | 0.426092 | − | 1.16793i | 0.0272220 | − | 0.0746164i | ||||
\(246\) | −12.8662 | + | 10.2816i | −0.820320 | + | 0.655530i | ||||
\(247\) | − | 27.5365i | − | 1.75210i | ||||||
\(248\) | 5.55669 | + | 5.20657i | 0.352850 | + | 0.330618i | ||||
\(249\) | −1.14191 | − | 1.75785i | −0.0723654 | − | 0.111399i | ||||
\(250\) | −2.28053 | − | 1.03348i | −0.144233 | − | 0.0653633i | ||||
\(251\) | 6.73502i | 0.425111i | 0.977149 | + | 0.212555i | \(0.0681786\pi\) | ||||
−0.977149 | + | 0.212555i | \(0.931821\pi\) | |||||||
\(252\) | 2.14449 | − | 15.7290i | 0.135090 | − | 0.990833i | ||||
\(253\) | 5.65609i | 0.355595i | ||||||||
\(254\) | −4.78589 | + | 10.5607i | −0.300293 | + | 0.662640i | ||||
\(255\) | 0.669447 | − | 1.31431i | 0.0419224 | − | 0.0823053i | ||||
\(256\) | −15.4525 | − | 4.14966i | −0.965782 | − | 0.259354i | ||||
\(257\) | − | 7.81437i | − | 0.487447i | −0.969845 | − | 0.243724i | \(-0.921631\pi\) | ||
0.969845 | − | 0.243724i | \(-0.0783690\pi\) | |||||||
\(258\) | 14.7555 | − | 2.23918i | 0.918639 | − | 0.139405i | ||||
\(259\) | −6.19380 | − | 2.89107i | −0.384864 | − | 0.179642i | ||||
\(260\) | −0.477479 | − | 2.40218i | −0.0296120 | − | 0.148977i | ||||
\(261\) | −15.0194 | − | 20.6605i | −0.929676 | − | 1.27885i | ||||
\(262\) | −7.22343 | + | 15.9395i | −0.446265 | + | 0.984746i | ||||
\(263\) | −19.3331 | −1.19213 | −0.596064 | − | 0.802937i | \(-0.703270\pi\) | ||||
−0.596064 | + | 0.802937i | \(0.703270\pi\) | |||||||
\(264\) | −1.77236 | − | 4.90386i | −0.109081 | − | 0.301812i | ||||
\(265\) | −1.01471 | + | 1.75754i | −0.0623334 | + | 0.107965i | ||||
\(266\) | −11.3458 | + | 9.72433i | −0.695656 | + | 0.596237i | ||||
\(267\) | −7.37814 | − | 11.3579i | −0.451535 | − | 0.695093i | ||||
\(268\) | 1.12730 | − | 3.31940i | 0.0688606 | − | 0.202765i | ||||
\(269\) | −3.49855 | + | 6.05967i | −0.213311 | + | 0.369465i | −0.952749 | − | 0.303760i | \(-0.901758\pi\) |
0.739438 | + | 0.673225i | \(0.235091\pi\) | |||||||
\(270\) | 0.345602 | − | 1.25853i | 0.0210326 | − | 0.0765916i | ||||
\(271\) | 2.17292 | − | 1.25454i | 0.131995 | − | 0.0762076i | −0.432548 | − | 0.901611i | \(-0.642385\pi\) |
0.564544 | + | 0.825403i | \(0.309052\pi\) | |||||||
\(272\) | −11.6798 | + | 15.2127i | −0.708194 | + | 0.922408i | ||||
\(273\) | −31.2907 | + | 4.38994i | −1.89380 | + | 0.265691i | ||||
\(274\) | 3.96641 | − | 8.75245i | 0.239620 | − | 0.528755i | ||||
\(275\) | 5.28827i | 0.318895i | ||||||||
\(276\) | 13.1860 | − | 12.8452i | 0.793701 | − | 0.773188i | ||||
\(277\) | 6.44559i | 0.387278i | 0.981073 | + | 0.193639i | \(0.0620291\pi\) | ||||
−0.981073 | + | 0.193639i | \(0.937971\pi\) | |||||||
\(278\) | −17.8156 | + | 12.7646i | −1.06851 | + | 0.765569i | ||||
\(279\) | 6.53289 | − | 4.74917i | 0.391114 | − | 0.284325i | ||||
\(280\) | −0.821150 | + | 1.04505i | −0.0490731 | + | 0.0624538i | ||||
\(281\) | 10.3178 | − | 5.95701i | 0.615511 | − | 0.355365i | −0.159608 | − | 0.987180i | \(-0.551023\pi\) |
0.775119 | + | 0.631815i | \(0.217690\pi\) | |||||||
\(282\) | 15.4027 | + | 19.2747i | 0.917217 | + | 1.14779i | ||||
\(283\) | −1.20455 | − | 2.08634i | −0.0716030 | − | 0.124020i | 0.828001 | − | 0.560727i | \(-0.189478\pi\) |
−0.899604 | + | 0.436707i | \(0.856145\pi\) | |||||||
\(284\) | −2.48820 | − | 2.83804i | −0.147647 | − | 0.168407i | ||||
\(285\) | −1.03024 | + | 0.669245i | −0.0610259 | + | 0.0396426i | ||||
\(286\) | −8.43674 | + | 6.04480i | −0.498875 | + | 0.357437i | ||||
\(287\) | −1.54374 | − | 17.7222i | −0.0911243 | − | 1.04611i | ||||
\(288\) | −7.40720 | + | 15.2687i | −0.436473 | + | 0.899717i | ||||
\(289\) | 2.99519 | + | 5.18781i | 0.176187 | + | 0.305166i | ||||
\(290\) | 0.209465 | + | 2.12825i | 0.0123002 | + | 0.124975i | ||||
\(291\) | 17.1540 | − | 11.1433i | 1.00559 | − | 0.653233i | ||||
\(292\) | 12.1266 | − | 2.41038i | 0.709653 | − | 0.141057i | ||||
\(293\) | 1.22450 | − | 2.12090i | 0.0715361 | − | 0.123904i | −0.828039 | − | 0.560671i | \(-0.810543\pi\) |
0.899575 | + | 0.436767i | \(0.143877\pi\) | |||||||
\(294\) | 12.8589 | + | 11.3424i | 0.749945 | + | 0.661500i | ||||
\(295\) | −0.146492 | + | 0.0845769i | −0.00852907 | + | 0.00492426i | ||||
\(296\) | 5.33226 | + | 4.99629i | 0.309931 | + | 0.290403i | ||||
\(297\) | −5.46217 | + | 0.867431i | −0.316947 | + | 0.0503335i | ||||
\(298\) | −15.9408 | − | 7.22401i | −0.923426 | − | 0.418476i | ||||
\(299\) | −31.7316 | − | 18.3203i | −1.83509 | − | 1.05949i | ||||
\(300\) | 12.3285 | − | 12.0098i | 0.711784 | − | 0.693388i | ||||
\(301\) | −6.81824 | + | 14.6073i | −0.392997 | + | 0.841954i | ||||
\(302\) | −5.24871 | + | 11.5820i | −0.302030 | + | 0.666471i | ||||
\(303\) | 0.125210 | + | 2.38288i | 0.00719310 | + | 0.136893i | ||||
\(304\) | 14.7603 | − | 6.10914i | 0.846562 | − | 0.350383i | ||||
\(305\) | −1.57829 | − | 0.911229i | −0.0903729 | − | 0.0521768i | ||||
\(306\) | 13.5158 | + | 15.2036i | 0.772649 | + | 0.869131i | ||||
\(307\) | 23.9520 | 1.36701 | 0.683507 | − | 0.729944i | \(-0.260454\pi\) | ||||
0.683507 | + | 0.729944i | \(0.260454\pi\) | |||||||
\(308\) | 5.47001 | + | 1.34150i | 0.311683 | + | 0.0764389i | ||||
\(309\) | 23.5198 | − | 1.23586i | 1.33799 | − | 0.0703055i | ||||
\(310\) | −0.672958 | + | 0.0662336i | −0.0382215 | + | 0.00376181i | ||||
\(311\) | 3.67115 | + | 6.35861i | 0.208172 | + | 0.360564i | 0.951139 | − | 0.308764i | \(-0.0999154\pi\) |
−0.742967 | + | 0.669328i | \(0.766582\pi\) | |||||||
\(312\) | 33.2523 | + | 5.94051i | 1.88254 | + | 0.336315i | ||||
\(313\) | 9.86512 | − | 17.0869i | 0.557610 | − | 0.965808i | −0.440086 | − | 0.897956i | \(-0.645052\pi\) |
0.997695 | − | 0.0678524i | \(-0.0216147\pi\) | |||||||
\(314\) | −16.4521 | + | 1.61924i | −0.928448 | + | 0.0913792i | ||||
\(315\) | 0.924729 | + | 1.06400i | 0.0521026 | + | 0.0599497i | ||||
\(316\) | 4.18156 | + | 21.0373i | 0.235231 | + | 1.18344i | ||||
\(317\) | −4.46717 | + | 7.73737i | −0.250901 | + | 0.434574i | −0.963774 | − | 0.266719i | \(-0.914060\pi\) |
0.712873 | + | 0.701293i | \(0.247394\pi\) | |||||||
\(318\) | −17.4732 | − | 21.8656i | −0.979847 | − | 1.22616i | ||||
\(319\) | 7.84821 | − | 4.53116i | 0.439415 | − | 0.253696i | ||||
\(320\) | 1.18171 | − | 0.788882i | 0.0660594 | − | 0.0440998i | ||||
\(321\) | −1.32613 | − | 2.04144i | −0.0740172 | − | 0.113942i | ||||
\(322\) | 3.65735 | + | 19.5440i | 0.203816 | + | 1.08915i | ||||
\(323\) | − | 19.1489i | − | 1.06547i | ||||||
\(324\) | 14.4270 | + | 10.7639i | 0.801500 | + | 0.597995i | ||||
\(325\) | −29.6681 | − | 17.1289i | −1.64569 | − | 0.950140i | ||||
\(326\) | 2.20622 | + | 22.4161i | 0.122191 | + | 1.24151i | ||||
\(327\) | 4.91002 | − | 9.63974i | 0.271525 | − | 0.533079i | ||||
\(328\) | −4.32228 | + | 18.5199i | −0.238658 | + | 1.02259i | ||||
\(329\) | −26.5493 | + | 2.31266i | −1.46371 | + | 0.127501i | ||||
\(330\) | 0.431203 | + | 0.168736i | 0.0237370 | + | 0.00928860i | ||||
\(331\) | 5.59361 | − | 9.68841i | 0.307452 | − | 0.532523i | −0.670352 | − | 0.742043i | \(-0.733857\pi\) |
0.977804 | + | 0.209520i | \(0.0671902\pi\) | |||||||
\(332\) | −2.29191 | − | 0.778351i | −0.125785 | − | 0.0427176i | ||||
\(333\) | 6.26904 | − | 4.55736i | 0.343541 | − | 0.249742i | ||||
\(334\) | 13.4575 | − | 9.64211i | 0.736362 | − | 0.527593i | ||||
\(335\) | 0.155652 | + | 0.269597i | 0.00850418 | + | 0.0147297i | ||||
\(336\) | −9.29516 | − | 15.7987i | −0.507093 | − | 0.861892i | ||||
\(337\) | 4.66503 | − | 8.08007i | 0.254120 | − | 0.440150i | −0.710536 | − | 0.703661i | \(-0.751547\pi\) |
0.964656 | + | 0.263512i | \(0.0848807\pi\) | |||||||
\(338\) | −4.78472 | − | 48.6145i | −0.260254 | − | 2.64428i | ||||
\(339\) | −11.6459 | + | 22.8641i | −0.632518 | + | 1.24181i | ||||
\(340\) | −0.332039 | − | 1.67048i | −0.0180074 | − | 0.0905946i | ||||
\(341\) | 1.43277 | + | 2.48162i | 0.0775887 | + | 0.134388i | ||||
\(342\) | −3.41765 | − | 16.5954i | −0.184805 | − | 0.897376i | ||||
\(343\) | −17.8946 | + | 4.77312i | −0.966219 | + | 0.257724i | ||||
\(344\) | 11.7832 | − | 12.5755i | 0.635305 | − | 0.678026i | ||||
\(345\) | 0.0857778 | + | 1.63245i | 0.00461812 | + | 0.0878880i | ||||
\(346\) | −23.6785 | + | 16.9653i | −1.27296 | + | 0.912059i | ||||
\(347\) | 13.3601 | − | 7.71347i | 0.717209 | − | 0.414081i | −0.0965154 | − | 0.995331i | \(-0.530770\pi\) |
0.813725 | + | 0.581251i | \(0.197436\pi\) | |||||||
\(348\) | −28.3869 | − | 8.00598i | −1.52170 | − | 0.429165i | ||||
\(349\) | −4.36795 | + | 2.52184i | −0.233811 | + | 0.134991i | −0.612329 | − | 0.790603i | \(-0.709767\pi\) |
0.378518 | + | 0.925594i | \(0.376434\pi\) | |||||||
\(350\) | 3.41951 | + | 18.2731i | 0.182780 | + | 0.976736i | ||||
\(351\) | 12.8257 | − | 33.4534i | 0.684587 | − | 1.78561i | ||||
\(352\) | −5.11193 | − | 3.18125i | −0.272467 | − | 0.169561i | ||||
\(353\) | − | 11.0234i | − | 0.586717i | −0.956003 | − | 0.293359i | \(-0.905227\pi\) | ||
0.956003 | − | 0.293359i | \(-0.0947730\pi\) | |||||||
\(354\) | −0.350022 | − | 2.30654i | −0.0186034 | − | 0.122591i | ||||
\(355\) | 0.335169 | 0.0177889 | ||||||||
\(356\) | −14.8086 | − | 5.02912i | −0.784853 | − | 0.266543i | ||||
\(357\) | −21.7596 | + | 3.05277i | −1.15164 | + | 0.161570i | ||||
\(358\) | −6.36493 | − | 8.88354i | −0.336397 | − | 0.469510i | ||||
\(359\) | 1.49840 | + | 2.59531i | 0.0790827 | + | 0.136975i | 0.902854 | − | 0.429946i | \(-0.141468\pi\) |
−0.823772 | + | 0.566922i | \(0.808134\pi\) | |||||||
\(360\) | −0.585905 | − | 1.38846i | −0.0308799 | − | 0.0731784i | ||||
\(361\) | 1.52536 | − | 2.64199i | 0.0802819 | − | 0.139052i | ||||
\(362\) | −4.19979 | + | 9.26742i | −0.220736 | + | 0.487085i | ||||
\(363\) | 0.896785 | + | 17.0668i | 0.0470690 | + | 0.895775i | ||||
\(364\) | −25.2436 | + | 26.3426i | −1.32312 | + | 1.38073i | ||||
\(365\) | −0.548965 | + | 0.950835i | −0.0287341 | + | 0.0497690i | ||||
\(366\) | 19.6357 | − | 15.6912i | 1.02637 | − | 0.820190i | ||||
\(367\) | − | 18.4857i | − | 0.964944i | −0.875911 | − | 0.482472i | \(-0.839739\pi\) | ||
0.875911 | − | 0.482472i | \(-0.160261\pi\) | |||||||
\(368\) | 2.78032 | − | 21.0735i | 0.144934 | − | 1.09853i | ||||
\(369\) | 18.4295 | + | 8.19929i | 0.959403 | + | 0.426838i | ||||
\(370\) | −0.645779 | + | 0.0635585i | −0.0335724 | + | 0.00330425i | ||||
\(371\) | 30.1182 | − | 2.62353i | 1.56366 | − | 0.136207i | ||||
\(372\) | 2.53151 | − | 8.97603i | 0.131253 | − | 0.465386i | ||||
\(373\) | 36.7373i | 1.90219i | 0.308905 | + | 0.951093i | \(0.400038\pi\) | ||||
−0.308905 | + | 0.951093i | \(0.599962\pi\) | |||||||
\(374\) | −5.86692 | + | 4.20356i | −0.303371 | + | 0.217361i | ||||
\(375\) | 0.160908 | + | 3.06227i | 0.00830927 | + | 0.158135i | ||||
\(376\) | 27.7443 | + | 6.47514i | 1.43080 | + | 0.333930i | ||||
\(377\) | 58.7064i | 3.02353i | ||||||||
\(378\) | −18.3131 | + | 6.52928i | −0.941923 | + | 0.335830i | ||||
\(379\) | −2.10691 | −0.108225 | −0.0541123 | − | 0.998535i | \(-0.517233\pi\) | ||||
−0.0541123 | + | 0.998535i | \(0.517233\pi\) | |||||||
\(380\) | −0.456173 | + | 1.34323i | −0.0234012 | + | 0.0689064i | ||||
\(381\) | 14.1808 | − | 0.745139i | 0.726506 | − | 0.0381746i | ||||
\(382\) | 6.94891 | − | 4.97879i | 0.355537 | − | 0.254737i | ||||
\(383\) | −18.2472 | −0.932386 | −0.466193 | − | 0.884683i | \(-0.654375\pi\) | ||||
−0.466193 | + | 0.884683i | \(0.654375\pi\) | |||||||
\(384\) | 4.19294 | + | 19.1421i | 0.213970 | + | 0.976840i | ||||
\(385\) | −0.409801 | + | 0.286715i | −0.0208854 | + | 0.0146124i | ||||
\(386\) | 0.265337 | + | 2.69593i | 0.0135053 | + | 0.137219i | ||||
\(387\) | −10.7480 | − | 14.7848i | −0.546351 | − | 0.751553i | ||||
\(388\) | 7.59555 | − | 22.3656i | 0.385606 | − | 1.13544i | ||||
\(389\) | −31.7283 | −1.60869 | −0.804344 | − | 0.594164i | \(-0.797483\pi\) | ||||
−0.804344 | + | 0.594164i | \(0.797483\pi\) | |||||||
\(390\) | −2.34332 | + | 1.87258i | −0.118659 | + | 0.0948220i | ||||
\(391\) | −22.0662 | − | 12.7399i | −1.11594 | − | 0.644287i | ||||
\(392\) | 19.7685 | + | 1.09837i | 0.998460 | + | 0.0554763i | ||||
\(393\) | 21.4034 | − | 1.12465i | 1.07966 | − | 0.0567312i | ||||
\(394\) | −7.75317 | − | 3.51356i | −0.390599 | − | 0.177011i | ||||
\(395\) | −1.64952 | − | 0.952353i | −0.0829966 | − | 0.0479181i | ||||
\(396\) | −4.33433 | + | 4.69013i | −0.217808 | + | 0.235688i | ||||
\(397\) | −18.5988 | + | 10.7380i | −0.933449 | + | 0.538927i | −0.887901 | − | 0.460035i | \(-0.847837\pi\) |
−0.0455483 | + | 0.998962i | \(0.514503\pi\) | |||||||
\(398\) | −11.3272 | − | 15.8094i | −0.567782 | − | 0.792455i | ||||
\(399\) | 16.9670 | + | 6.85984i | 0.849410 | + | 0.343422i | ||||
\(400\) | 2.59951 | − | 19.7031i | 0.129975 | − | 0.985154i | ||||
\(401\) | 26.1270i | 1.30472i | 0.757910 | + | 0.652359i | \(0.226220\pi\) | ||||
−0.757910 | + | 0.652359i | \(0.773780\pi\) | |||||||
\(402\) | −4.24486 | + | 0.644166i | −0.211714 | + | 0.0321281i | ||||
\(403\) | −18.5631 | −0.924695 | ||||||||
\(404\) | 1.81641 | + | 2.07180i | 0.0903699 | + | 0.103076i | ||||
\(405\) | −1.56332 | + | 0.333193i | −0.0776822 | + | 0.0165565i | ||||
\(406\) | 24.1887 | − | 20.7318i | 1.20047 | − | 1.02890i | ||||
\(407\) | 1.37490 | + | 2.38140i | 0.0681513 | + | 0.118041i | ||||
\(408\) | 23.1237 | + | 4.13104i | 1.14479 | + | 0.204517i | ||||
\(409\) | −11.9417 | − | 20.6836i | −0.590478 | − | 1.02274i | −0.994168 | − | 0.107842i | \(-0.965606\pi\) |
0.403690 | − | 0.914896i | \(-0.367727\pi\) | |||||||
\(410\) | −0.983592 | − | 1.37280i | −0.0485761 | − | 0.0677978i | ||||
\(411\) | −11.7527 | + | 0.617550i | −0.579716 | + | 0.0304615i | ||||
\(412\) | 20.4493 | − | 17.9286i | 1.00747 | − | 0.883277i | ||||
\(413\) | 2.28337 | + | 1.06581i | 0.112358 | + | 0.0524449i | ||||
\(414\) | −21.3975 | − | 7.10274i | −1.05163 | − | 0.349081i | ||||
\(415\) | 0.186146 | − | 0.107471i | 0.00913753 | − | 0.00527556i | ||||
\(416\) | 34.4051 | − | 18.3746i | 1.68685 | − | 0.900889i | ||||
\(417\) | 23.9181 | + | 12.1827i | 1.17127 | + | 0.596591i | ||||
\(418\) | 5.98252 | − | 0.588809i | 0.292615 | − | 0.0287996i | ||||
\(419\) | −3.21715 | − | 1.85742i | −0.157168 | − | 0.0907411i | 0.419353 | − | 0.907823i | \(-0.362257\pi\) |
−0.576521 | + | 0.817082i | \(0.695590\pi\) | |||||||
\(420\) | 1.59909 | + | 0.304224i | 0.0780274 | + | 0.0148446i | ||||
\(421\) | −12.4384 | + | 7.18131i | −0.606210 | + | 0.349995i | −0.771481 | − | 0.636253i | \(-0.780484\pi\) |
0.165271 | + | 0.986248i | \(0.447150\pi\) | |||||||
\(422\) | 18.5852 | − | 13.3160i | 0.904712 | − | 0.648213i | ||||
\(423\) | 12.2832 | − | 27.6090i | 0.597231 | − | 1.34239i | ||||
\(424\) | −31.4738 | − | 7.34555i | −1.52850 | − | 0.356731i | ||||
\(425\) | −20.6312 | − | 11.9114i | −1.00076 | − | 0.577790i | ||||
\(426\) | −1.68451 | + | 4.30475i | −0.0816146 | + | 0.208566i | ||||
\(427\) | 2.35597 | + | 27.0466i | 0.114013 | + | 1.30887i | ||||
\(428\) | −2.66165 | − | 0.903920i | −0.128656 | − | 0.0436926i | ||||
\(429\) | 11.3267 | + | 5.76926i | 0.546856 | + | 0.278542i | ||||
\(430\) | 0.149895 | + | 1.52299i | 0.00722859 | + | 0.0734452i | ||||
\(431\) | 7.05594 | − | 12.2212i | 0.339873 | − | 0.588677i | −0.644536 | − | 0.764574i | \(-0.722949\pi\) |
0.984409 | + | 0.175897i | \(0.0562827\pi\) | |||||||
\(432\) | 20.7774 | − | 0.546890i | 0.999654 | − | 0.0263123i | ||||
\(433\) | −11.8206 | −0.568064 | −0.284032 | − | 0.958815i | \(-0.591672\pi\) | ||||
−0.284032 | + | 0.958815i | \(0.591672\pi\) | |||||||
\(434\) | 6.55545 | + | 7.64854i | 0.314672 | + | 0.367142i | ||||
\(435\) | 2.19641 | − | 1.42680i | 0.105310 | − | 0.0684096i | ||||
\(436\) | −2.43532 | − | 12.2521i | −0.116631 | − | 0.586767i | ||||
\(437\) | 10.6112 | + | 18.3792i | 0.507603 | + | 0.879195i | ||||
\(438\) | −9.45306 | − | 11.8294i | −0.451685 | − | 0.565231i | ||||
\(439\) | −1.30016 | − | 0.750646i | −0.0620531 | − | 0.0358264i | 0.468652 | − | 0.883383i | \(-0.344740\pi\) |
−0.530706 | + | 0.847556i | \(0.678073\pi\) | |||||||
\(440\) | 0.511684 | − | 0.155102i | 0.0243936 | − | 0.00739419i | ||||
\(441\) | 5.09016 | − | 20.3738i | 0.242388 | − | 0.970179i | ||||
\(442\) | −4.57955 | − | 46.5299i | −0.217827 | − | 2.21320i | ||||
\(443\) | −1.06520 | − | 0.614992i | −0.0506091 | − | 0.0292192i | 0.474482 | − | 0.880265i | \(-0.342635\pi\) |
−0.525091 | + | 0.851046i | \(0.675969\pi\) | |||||||
\(444\) | 2.42927 | − | 8.61351i | 0.115288 | − | 0.408779i | ||||
\(445\) | 1.20273 | − | 0.694398i | 0.0570150 | − | 0.0329176i | ||||
\(446\) | −26.9822 | + | 2.65563i | −1.27764 | + | 0.125748i | ||||
\(447\) | 1.12474 | + | 21.4051i | 0.0531985 | + | 1.01243i | ||||
\(448\) | −19.7208 | − | 7.68701i | −0.931720 | − | 0.363177i | ||||
\(449\) | − | 30.5120i | − | 1.43995i | −0.693999 | − | 0.719976i | \(-0.744153\pi\) | ||
0.693999 | − | 0.719976i | \(-0.255847\pi\) | |||||||
\(450\) | −20.0060 | − | 6.64084i | −0.943091 | − | 0.313052i | ||||
\(451\) | −3.57826 | + | 6.19773i | −0.168494 | + | 0.291839i | ||||
\(452\) | 5.77624 | + | 29.0602i | 0.271692 | + | 1.36687i | ||||
\(453\) | 15.5522 | − | 0.817198i | 0.730706 | − | 0.0383953i | ||||
\(454\) | 6.22463 | − | 13.7355i | 0.292136 | − | 0.644640i | ||||
\(455\) | −0.281162 | − | 3.22774i | −0.0131811 | − | 0.151319i | ||||
\(456\) | −14.9592 | − | 12.6098i | −0.700528 | − | 0.590506i | ||||
\(457\) | −3.25696 | + | 5.64123i | −0.152354 | + | 0.263885i | −0.932093 | − | 0.362220i | \(-0.882019\pi\) |
0.779738 | + | 0.626106i | \(0.215352\pi\) | |||||||
\(458\) | 7.50232 | − | 16.5549i | 0.350560 | − | 0.773561i | ||||
\(459\) | 8.91903 | − | 23.2635i | 0.416305 | − | 1.08585i | ||||
\(460\) | 1.24438 | + | 1.41934i | 0.0580194 | + | 0.0661769i | ||||
\(461\) | −8.91194 | − | 15.4359i | −0.415071 | − | 0.718923i | 0.580365 | − | 0.814356i | \(-0.302910\pi\) |
−0.995436 | + | 0.0954329i | \(0.969576\pi\) | |||||||
\(462\) | −1.62284 | − | 6.70428i | −0.0755011 | − | 0.311911i | ||||
\(463\) | −5.67380 | − | 3.27577i | −0.263684 | − | 0.152238i | 0.362330 | − | 0.932050i | \(-0.381981\pi\) |
−0.626014 | + | 0.779812i | \(0.715315\pi\) | |||||||
\(464\) | −31.4683 | + | 13.0244i | −1.46088 | + | 0.604642i | ||||
\(465\) | 0.451157 | + | 0.694512i | 0.0209219 | + | 0.0322072i | ||||
\(466\) | −31.4604 | + | 3.09638i | −1.45737 | + | 0.143437i | ||||
\(467\) | 13.2243 | − | 7.63507i | 0.611949 | − | 0.353309i | −0.161779 | − | 0.986827i | \(-0.551723\pi\) |
0.773728 | + | 0.633518i | \(0.218390\pi\) | |||||||
\(468\) | −12.2734 | − | 39.5078i | −0.567338 | − | 1.82625i | ||||
\(469\) | 1.96147 | − | 4.20223i | 0.0905721 | − | 0.194041i | ||||
\(470\) | −2.05657 | + | 1.47350i | −0.0948626 | + | 0.0679677i | ||||
\(471\) | 11.0297 | + | 16.9791i | 0.508220 | + | 0.782354i | ||||
\(472\) | −1.96576 | − | 1.84191i | −0.0904816 | − | 0.0847806i | ||||
\(473\) | 5.61624 | − | 3.24254i | 0.258235 | − | 0.149092i | ||||
\(474\) | 20.5218 | − | 16.3993i | 0.942599 | − | 0.753246i | ||||
\(475\) | 9.92115 | + | 17.1839i | 0.455214 | + | 0.788453i | ||||
\(476\) | −17.5544 | + | 18.3186i | −0.804605 | + | 0.839634i | ||||
\(477\) | −13.9344 | + | 31.3203i | −0.638011 | + | 1.43406i | ||||
\(478\) | 15.1335 | − | 10.8429i | 0.692189 | − | 0.495943i | ||||
\(479\) | −29.2479 | −1.33637 | −0.668186 | − | 0.743995i | \(-0.732929\pi\) | ||||
−0.668186 | + | 0.743995i | \(0.732929\pi\) | |||||||
\(480\) | −1.52364 | − | 0.840641i | −0.0695442 | − | 0.0383698i | ||||
\(481\) | −17.8134 | −0.812221 | ||||||||
\(482\) | 16.2048 | + | 7.34363i | 0.738107 | + | 0.334493i | ||||
\(483\) | 19.1932 | − | 14.9880i | 0.873322 | − | 0.681976i | ||||
\(484\) | 13.0096 | + | 14.8388i | 0.591347 | + | 0.674490i | ||||
\(485\) | 1.04876 | + | 1.81651i | 0.0476217 | + | 0.0824833i | ||||
\(486\) | 3.57766 | − | 21.7532i | 0.162286 | − | 0.986744i | ||||
\(487\) | 15.0733 | + | 8.70255i | 0.683034 | + | 0.394350i | 0.800997 | − | 0.598668i | \(-0.204303\pi\) |
−0.117963 | + | 0.993018i | \(0.537636\pi\) | |||||||
\(488\) | 6.59641 | − | 28.2639i | 0.298605 | − | 1.27945i | ||||
\(489\) | 23.1340 | − | 15.0279i | 1.04616 | − | 0.679587i | ||||
\(490\) | −1.23063 | + | 1.25570i | −0.0555942 | + | 0.0567268i | ||||
\(491\) | −21.7732 | − | 12.5707i | −0.982609 | − | 0.567309i | −0.0795520 | − | 0.996831i | \(-0.525349\pi\) |
−0.903057 | + | 0.429521i | \(0.858682\pi\) | |||||||
\(492\) | 22.5750 | − | 5.73329i | 1.01776 | − | 0.258477i | ||||
\(493\) | 40.8245i | 1.83864i | ||||||||
\(494\) | −16.0743 | + | 35.4702i | −0.723216 | + | 1.59588i | ||||
\(495\) | −0.0594340 | − | 0.563986i | −0.00267136 | − | 0.0253493i | ||||
\(496\) | −4.11835 | − | 9.95035i | −0.184919 | − | 0.446784i | ||||
\(497\) | −2.86231 | − | 4.09109i | −0.128392 | − | 0.183510i | ||||
\(498\) | 0.444770 | + | 2.93090i | 0.0199306 | + | 0.131337i | ||||
\(499\) | 15.6750 | 0.701711 | 0.350855 | − | 0.936430i | \(-0.385891\pi\) | ||||
0.350855 | + | 0.936430i | \(0.385891\pi\) | |||||||
\(500\) | 2.33429 | + | 2.66250i | 0.104393 | + | 0.119070i | ||||
\(501\) | −18.0672 | − | 9.20259i | −0.807184 | − | 0.411141i | ||||
\(502\) | 3.93154 | − | 8.67549i | 0.175473 | − | 0.387206i | ||||
\(503\) | 6.80813 | 0.303560 | 0.151780 | − | 0.988414i | \(-0.451500\pi\) | ||||
0.151780 | + | 0.988414i | \(0.451500\pi\) | |||||||
\(504\) | −11.9441 | + | 19.0089i | −0.532031 | + | 0.846725i | ||||
\(505\) | −0.244677 | −0.0108880 | ||||||||
\(506\) | 3.30172 | − | 7.28570i | 0.146779 | − | 0.323889i | ||||
\(507\) | −50.1716 | + | 32.5916i | −2.22820 | + | 1.44744i | ||||
\(508\) | 12.3296 | − | 10.8097i | 0.547036 | − | 0.479604i | ||||
\(509\) | 29.6614 | 1.31472 | 0.657360 | − | 0.753577i | \(-0.271673\pi\) | ||||
0.657360 | + | 0.753577i | \(0.271673\pi\) | |||||||
\(510\) | −1.62955 | + | 1.30220i | −0.0721576 | + | 0.0576623i | ||||
\(511\) | 16.2941 | − | 1.41934i | 0.720807 | − | 0.0627880i | ||||
\(512\) | 17.4823 | + | 14.3656i | 0.772615 | + | 0.634875i | ||||
\(513\) | −16.1217 | + | 13.0661i | −0.711789 | + | 0.576881i | ||||
\(514\) | −4.56160 | + | 10.0658i | −0.201204 | + | 0.443984i | ||||
\(515\) | 2.41504i | 0.106419i | ||||||||
\(516\) | −20.3139 | − | 5.72915i | −0.894271 | − | 0.252212i | ||||
\(517\) | 9.28471 | + | 5.36053i | 0.408341 | + | 0.235756i | ||||
\(518\) | 6.29069 | + | 7.33963i | 0.276397 | + | 0.322485i | ||||
\(519\) | 31.7893 | + | 16.1919i | 1.39539 | + | 0.710747i | ||||
\(520\) | −0.787216 | + | 3.37302i | −0.0345217 | + | 0.147917i | ||||
\(521\) | −10.9369 | − | 6.31444i | −0.479156 | − | 0.276641i | 0.240909 | − | 0.970548i | \(-0.422555\pi\) |
−0.720065 | + | 0.693907i | \(0.755888\pi\) | |||||||
\(522\) | 7.28625 | + | 35.3805i | 0.318911 | + | 1.54856i | ||||
\(523\) | −4.83299 | − | 8.37099i | −0.211332 | − | 0.366038i | 0.740800 | − | 0.671726i | \(-0.234447\pi\) |
−0.952132 | + | 0.305688i | \(0.901113\pi\) | |||||||
\(524\) | 18.6092 | − | 16.3153i | 0.812948 | − | 0.712737i | ||||
\(525\) | 17.9451 | − | 14.0133i | 0.783187 | − | 0.611589i | ||||
\(526\) | 24.9032 | + | 11.2856i | 1.08583 | + | 0.492075i | ||||
\(527\) | −12.9088 | −0.562317 | ||||||||
\(528\) | −0.579595 | + | 7.35135i | −0.0252236 | + | 0.319926i | ||||
\(529\) | 5.23897 | 0.227781 | ||||||||
\(530\) | 2.33302 | − | 1.67158i | 0.101340 | − | 0.0726087i | ||||
\(531\) | −2.31111 | + | 1.68009i | −0.100294 | + | 0.0729098i | ||||
\(532\) | 20.2912 | − | 5.90300i | 0.879737 | − | 0.255927i | ||||
\(533\) | −23.1802 | − | 40.1493i | −1.00405 | − | 1.73906i | ||||
\(534\) | 2.87377 | + | 18.9373i | 0.124360 | + | 0.819496i | ||||
\(535\) | 0.216176 | − | 0.124809i | 0.00934610 | − | 0.00539597i | ||||
\(536\) | −3.38977 | + | 3.61772i | −0.146416 | + | 0.156262i | ||||
\(537\) | −6.07479 | + | 11.9265i | −0.262147 | + | 0.514666i | ||||
\(538\) | 8.04385 | − | 5.76330i | 0.346795 | − | 0.248473i | ||||
\(539\) | 6.99933 | + | 2.55354i | 0.301482 | + | 0.109989i | ||||
\(540\) | −1.17983 | + | 1.41939i | −0.0507720 | + | 0.0610807i | ||||
\(541\) | 18.8332 | − | 10.8734i | 0.809703 | − | 0.467482i | −0.0371499 | − | 0.999310i | \(-0.511828\pi\) |
0.846853 | + | 0.531828i | \(0.178495\pi\) | |||||||
\(542\) | −3.53130 | + | 0.347556i | −0.151682 | + | 0.0149288i | ||||
\(543\) | 12.4442 | − | 0.653886i | 0.534031 | − | 0.0280609i | ||||
\(544\) | 23.9253 | − | 12.7777i | 1.02579 | − | 0.547840i | ||||
\(545\) | 0.960676 | + | 0.554647i | 0.0411508 | + | 0.0237584i | ||||
\(546\) | 42.8686 | + | 12.6110i | 1.83461 | + | 0.539701i | ||||
\(547\) | 14.9320 | + | 25.8630i | 0.638446 | + | 1.10582i | 0.985774 | + | 0.168077i | \(0.0537559\pi\) |
−0.347328 | + | 0.937744i | \(0.612911\pi\) | |||||||
\(548\) | −10.2184 | + | 8.95879i | −0.436508 | + | 0.382700i | ||||
\(549\) | −28.1261 | − | 12.5133i | −1.20039 | − | 0.534053i | ||||
\(550\) | 3.08700 | − | 6.81190i | 0.131630 | − | 0.290460i | ||||
\(551\) | 17.0015 | − | 29.4475i | 0.724290 | − | 1.25451i | ||||
\(552\) | −24.4833 | + | 8.84882i | −1.04208 | + | 0.376631i | ||||
\(553\) | 2.46230 | + | 28.2672i | 0.104708 | + | 1.20204i | ||||
\(554\) | 3.76258 | − | 8.30267i | 0.159857 | − | 0.352747i | ||||
\(555\) | 0.432936 | + | 0.666462i | 0.0183771 | + | 0.0282897i | ||||
\(556\) | 30.3998 | − | 6.04252i | 1.28924 | − | 0.256260i | ||||
\(557\) | −0.0854227 | + | 0.147956i | −0.00361947 | + | 0.00626911i | −0.867829 | − | 0.496862i | \(-0.834485\pi\) |
0.864210 | + | 0.503131i | \(0.167819\pi\) | |||||||
\(558\) | −11.1874 | + | 2.30393i | −0.473602 | + | 0.0975333i | ||||
\(559\) | 42.0108i | 1.77687i | ||||||||
\(560\) | 1.66778 | − | 0.866804i | 0.0704766 | − | 0.0366292i | ||||
\(561\) | 7.87657 | + | 4.01195i | 0.332549 | + | 0.169385i | ||||
\(562\) | −16.7679 | + | 1.65033i | −0.707313 | + | 0.0696149i | ||||
\(563\) | 12.5813 | − | 7.26384i | 0.530240 | − | 0.306134i | −0.210874 | − | 0.977513i | \(-0.567631\pi\) |
0.741114 | + | 0.671379i | \(0.234298\pi\) | |||||||
\(564\) | −8.58896 | − | 33.8192i | −0.361660 | − | 1.42405i | ||||
\(565\) | −2.27859 | − | 1.31554i | −0.0958609 | − | 0.0553453i | ||||
\(566\) | 0.333708 | + | 3.39060i | 0.0140268 | + | 0.142517i | ||||
\(567\) | 17.4176 | + | 16.2366i | 0.731471 | + | 0.681873i | ||||
\(568\) | 1.54840 | + | 5.10820i | 0.0649693 | + | 0.214335i | ||||
\(569\) | 30.4584 | + | 17.5852i | 1.27688 | + | 0.737208i | 0.976274 | − | 0.216539i | \(-0.0694770\pi\) |
0.300608 | + | 0.953748i | \(0.402810\pi\) | |||||||
\(570\) | 1.71773 | − | 0.260669i | 0.0719479 | − | 0.0109182i | ||||
\(571\) | −6.79169 | − | 11.7636i | −0.284223 | − | 0.492289i | 0.688197 | − | 0.725524i | \(-0.258402\pi\) |
−0.972421 | + | 0.233234i | \(0.925069\pi\) | |||||||
\(572\) | 14.3961 | − | 2.86150i | 0.601932 | − | 0.119645i | ||||
\(573\) | −9.32917 | − | 4.75184i | −0.389732 | − | 0.198511i | ||||
\(574\) | −8.35672 | + | 23.7294i | −0.348803 | + | 0.990445i | ||||
\(575\) | 26.4026 | 1.10106 | ||||||||
\(576\) | 18.4544 | − | 15.3439i | 0.768932 | − | 0.639331i | ||||
\(577\) | −4.94177 | + | 8.55940i | −0.205729 | + | 0.356333i | −0.950365 | − | 0.311138i | \(-0.899290\pi\) |
0.744636 | + | 0.667471i | \(0.232623\pi\) | |||||||
\(578\) | −0.829785 | − | 8.43093i | −0.0345145 | − | 0.350680i | ||||
\(579\) | 2.78227 | − | 1.80737i | 0.115627 | − | 0.0751119i | ||||
\(580\) | 0.972539 | − | 2.86370i | 0.0403825 | − | 0.118909i | ||||
\(581\) | −2.90147 | − | 1.35431i | −0.120373 | − | 0.0561863i | ||||
\(582\) | −28.6012 | + | 4.34029i | −1.18556 | + | 0.179911i | ||||
\(583\) | −10.5328 | − | 6.08111i | −0.436224 | − | 0.251854i | ||||
\(584\) | −17.0275 | − | 3.97397i | −0.704601 | − | 0.164444i | ||||
\(585\) | 3.35657 | + | 1.49333i | 0.138777 | + | 0.0617418i | ||||
\(586\) | −2.81536 | + | 2.01717i | −0.116302 | + | 0.0833283i | ||||
\(587\) | 39.3640 | − | 22.7268i | 1.62473 | − | 0.938036i | 0.639094 | − | 0.769129i | \(-0.279310\pi\) |
0.985632 | − | 0.168907i | \(-0.0540237\pi\) | |||||||
\(588\) | −9.94267 | − | 22.1166i | −0.410029 | − | 0.912073i | ||||
\(589\) | 9.31139 | + | 5.37594i | 0.383669 | + | 0.221512i | ||||
\(590\) | 0.238069 | − | 0.0234312i | 0.00980116 | − | 0.000964645i | ||||
\(591\) | 0.547044 | + | 10.4109i | 0.0225024 | + | 0.428245i | ||||
\(592\) | −3.95201 | − | 9.54848i | −0.162427 | − | 0.392440i | ||||
\(593\) | 8.87482 | − | 5.12388i | 0.364445 | − | 0.210412i | −0.306584 | − | 0.951844i | \(-0.599186\pi\) |
0.671029 | + | 0.741431i | \(0.265853\pi\) | |||||||
\(594\) | 7.54227 | + | 2.07116i | 0.309463 | + | 0.0849809i | ||||
\(595\) | −0.195520 | − | 2.24457i | −0.00801554 | − | 0.0920185i | ||||
\(596\) | 16.3166 | + | 18.6107i | 0.668354 | + | 0.762325i | ||||
\(597\) | −10.8109 | + | 21.2248i | −0.442460 | + | 0.868671i | ||||
\(598\) | 30.1797 | + | 42.1218i | 1.23414 | + | 1.72249i | ||||
\(599\) | 9.72521 | + | 16.8446i | 0.397361 | + | 0.688250i | 0.993399 | − | 0.114706i | \(-0.0365926\pi\) |
−0.596038 | + | 0.802956i | \(0.703259\pi\) | |||||||
\(600\) | −22.8912 | + | 8.27337i | −0.934527 | + | 0.337759i | ||||
\(601\) | −17.0699 | − | 29.5660i | −0.696297 | − | 1.20602i | −0.969741 | − | 0.244134i | \(-0.921496\pi\) |
0.273444 | − | 0.961888i | \(-0.411837\pi\) | |||||||
\(602\) | 17.3096 | − | 14.8358i | 0.705488 | − | 0.604664i | ||||
\(603\) | 3.09198 | + | 4.25328i | 0.125915 | + | 0.173207i | ||||
\(604\) | 13.5219 | − | 11.8551i | 0.550198 | − | 0.482376i | ||||
\(605\) | −1.75244 | −0.0712469 | ||||||||
\(606\) | 1.22971 | − | 3.14251i | 0.0499535 | − | 0.127656i | ||||
\(607\) | 14.3802i | 0.583675i | 0.956468 | + | 0.291837i | \(0.0942666\pi\) | ||||
−0.956468 | + | 0.291837i | \(0.905733\pi\) | |||||||
\(608\) | −22.5792 | − | 0.746986i | −0.915707 | − | 0.0302943i | ||||
\(609\) | −36.1727 | − | 14.6248i | −1.46579 | − | 0.592628i | ||||
\(610\) | 1.50110 | + | 2.09509i | 0.0607778 | + | 0.0848277i | ||||
\(611\) | −60.1470 | + | 34.7259i | −2.43329 | + | 1.40486i | ||||
\(612\) | −8.53494 | − | 27.4738i | −0.345005 | − | 1.11056i | ||||
\(613\) | −13.8205 | − | 7.97928i | −0.558206 | − | 0.322280i | 0.194219 | − | 0.980958i | \(-0.437783\pi\) |
−0.752425 | + | 0.658678i | \(0.771116\pi\) | |||||||
\(614\) | −30.8530 | − | 13.9819i | −1.24512 | − | 0.564263i | ||||
\(615\) | −0.938756 | + | 1.84304i | −0.0378543 | + | 0.0743185i | ||||
\(616\) | −6.26292 | − | 4.92110i | −0.252340 | − | 0.198277i | ||||
\(617\) | −24.3905 | − | 14.0818i | −0.981923 | − | 0.566914i | −0.0790728 | − | 0.996869i | \(-0.525196\pi\) |
−0.902850 | + | 0.429955i | \(0.858529\pi\) | |||||||
\(618\) | −31.0176 | − | 12.1376i | −1.24771 | − | 0.488246i | ||||
\(619\) | −24.6832 | −0.992103 | −0.496051 | − | 0.868293i | \(-0.665217\pi\) | ||||
−0.496051 | + | 0.868293i | \(0.665217\pi\) | |||||||
\(620\) | 0.905511 | + | 0.307519i | 0.0363662 | + | 0.0123503i | ||||
\(621\) | 4.33079 | + | 27.2708i | 0.173789 | + | 1.09434i | ||||
\(622\) | −1.01705 | − | 10.3336i | −0.0407801 | − | 0.414341i | ||||
\(623\) | −18.7471 | − | 8.75053i | −0.751086 | − | 0.350583i | ||||
\(624\) | −39.3650 | − | 27.0629i | −1.57586 | − | 1.08338i | ||||
\(625\) | 24.5278 | 0.981114 | ||||||||
\(626\) | −22.6818 | + | 16.2512i | −0.906547 | + | 0.649528i | ||||
\(627\) | −4.01073 | − | 6.17413i | −0.160173 | − | 0.246571i | ||||
\(628\) | 22.1375 | + | 7.51808i | 0.883381 | + | 0.300004i | ||||
\(629\) | −12.3875 | −0.493920 | ||||||||
\(630\) | −0.570053 | − | 1.91036i | −0.0227115 | − | 0.0761107i | ||||
\(631\) | 20.8868i | 0.831489i | 0.909481 | + | 0.415745i | \(0.136479\pi\) | ||||
−0.909481 | + | 0.415745i | \(0.863521\pi\) | |||||||
\(632\) | 6.89411 | − | 29.5395i | 0.274233 | − | 1.17502i | ||||
\(633\) | −24.9513 | − | 12.7090i | −0.991726 | − | 0.505138i | ||||
\(634\) | 10.2709 | − | 7.35893i | 0.407909 | − | 0.292261i | ||||
\(635\) | 1.45610i | 0.0577837i | ||||||||
\(636\) | 9.74351 | + | 38.3653i | 0.386355 | + | 1.52128i | ||||
\(637\) | −36.9968 | + | 30.9964i | −1.46587 | + | 1.22812i | ||||
\(638\) | −12.7544 | + | 1.25531i | −0.504953 | + | 0.0496983i | ||||
\(639\) | 5.63032 | − | 0.593335i | 0.222732 | − | 0.0234720i | ||||
\(640\) | −1.98268 | + | 0.326356i | −0.0783723 | + | 0.0129003i | ||||
\(641\) | 23.9332i | 0.945304i | 0.881249 | + | 0.472652i | \(0.156703\pi\) | ||||
−0.881249 | + | 0.472652i | \(0.843297\pi\) | |||||||
\(642\) | 0.516523 | + | 3.40373i | 0.0203855 | + | 0.134335i | ||||
\(643\) | 17.6623 | − | 30.5920i | 0.696533 | − | 1.20643i | −0.273128 | − | 0.961978i | \(-0.588058\pi\) |
0.969661 | − | 0.244453i | \(-0.0786083\pi\) | |||||||
\(644\) | 6.69764 | − | 27.3099i | 0.263924 | − | 1.07616i | ||||
\(645\) | 1.57177 | − | 1.02103i | 0.0618884 | − | 0.0402029i | ||||
\(646\) | −11.1781 | + | 24.6660i | −0.439795 | + | 0.970470i | ||||
\(647\) | 6.88193 | − | 11.9199i | 0.270557 | − | 0.468618i | −0.698448 | − | 0.715661i | \(-0.746126\pi\) |
0.969005 | + | 0.247043i | \(0.0794589\pi\) | |||||||
\(648\) | −12.3003 | − | 22.2868i | −0.483200 | − | 0.875510i | ||||
\(649\) | −0.506863 | − | 0.877913i | −0.0198961 | − | 0.0344611i | ||||
\(650\) | 28.2170 | + | 39.3826i | 1.10676 | + | 1.54471i | ||||
\(651\) | 4.62442 | − | 11.4379i | 0.181245 | − | 0.448287i | ||||
\(652\) | 10.2434 | − | 30.1624i | 0.401163 | − | 1.18125i | ||||
\(653\) | 2.74626 | 0.107470 | 0.0537348 | − | 0.998555i | \(-0.482887\pi\) | ||||
0.0537348 | + | 0.998555i | \(0.482887\pi\) | |||||||
\(654\) | −11.9518 | + | 9.55090i | −0.467353 | + | 0.373470i | ||||
\(655\) | 2.19772i | 0.0858722i | ||||||||
\(656\) | 16.3785 | − | 21.3326i | 0.639472 | − | 0.832899i | ||||
\(657\) | −7.53856 | + | 16.9444i | −0.294107 | + | 0.661064i | ||||
\(658\) | 35.5486 | + | 12.5191i | 1.38583 | + | 0.488044i | ||||
\(659\) | −21.3999 | + | 12.3552i | −0.833620 | + | 0.481291i | −0.855091 | − | 0.518478i | \(-0.826499\pi\) |
0.0214702 | + | 0.999769i | \(0.493165\pi\) | |||||||
\(660\) | −0.456941 | − | 0.469064i | −0.0177864 | − | 0.0182583i | ||||
\(661\) | 5.67257 | − | 3.27506i | 0.220637 | − | 0.127385i | −0.385608 | − | 0.922663i | \(-0.626008\pi\) |
0.606245 | + | 0.795278i | \(0.292675\pi\) | |||||||
\(662\) | −12.8608 | + | 9.21455i | −0.499848 | + | 0.358134i | ||||
\(663\) | −48.0202 | + | 31.1941i | −1.86495 | + | 1.21148i | ||||
\(664\) | 2.49788 | + | 2.34049i | 0.0969366 | + | 0.0908288i | ||||
\(665\) | −0.793730 | + | 1.70048i | −0.0307795 | + | 0.0659418i | ||||
\(666\) | −10.7356 | + | 2.21088i | −0.415996 | + | 0.0856699i | ||||
\(667\) | −22.6226 | − | 39.1835i | −0.875950 | − | 1.51719i | ||||
\(668\) | −22.9634 | + | 4.56439i | −0.888479 | + | 0.176602i | ||||
\(669\) | 18.0891 | + | 27.8464i | 0.699364 | + | 1.07660i | ||||
\(670\) | −0.0431218 | − | 0.438134i | −0.00166594 | − | 0.0169266i | ||||
\(671\) | 5.46093 | − | 9.45860i | 0.210817 | − | 0.365145i | ||||
\(672\) | 2.75081 | + | 25.7766i | 0.106115 | + | 0.994354i | ||||
\(673\) | 4.04098 | + | 6.99918i | 0.155768 | + | 0.269798i | 0.933338 | − | 0.358998i | \(-0.116881\pi\) |
−0.777570 | + | 0.628796i | \(0.783548\pi\) | |||||||
\(674\) | −10.7258 | + | 7.68488i | −0.413142 | + | 0.296010i | ||||
\(675\) | 4.04916 | + | 25.4973i | 0.155852 | + | 0.981393i | ||||
\(676\) | −22.2152 | + | 65.4142i | −0.854431 | + | 2.51593i | ||||
\(677\) | −19.3748 | + | 33.5582i | −0.744635 | + | 1.28975i | 0.205730 | + | 0.978609i | \(0.434043\pi\) |
−0.950365 | + | 0.311137i | \(0.899290\pi\) | |||||||
\(678\) | 28.3480 | − | 22.6534i | 1.08870 | − | 0.869998i | ||||
\(679\) | 13.2161 | − | 28.3140i | 0.507186 | − | 1.08659i | ||||
\(680\) | −0.547431 | + | 2.34560i | −0.0209930 | + | 0.0899497i | ||||
\(681\) | −18.4439 | + | 0.969143i | −0.706771 | + | 0.0371376i | ||||
\(682\) | −0.396933 | − | 4.03299i | −0.0151994 | − | 0.154431i | ||||
\(683\) | 39.6953 | + | 22.9181i | 1.51890 | + | 0.876937i | 0.999752 | + | 0.0222527i | \(0.00708385\pi\) |
0.519148 | + | 0.854685i | \(0.326249\pi\) | |||||||
\(684\) | −5.28515 | + | 23.3718i | −0.202083 | + | 0.893644i | ||||
\(685\) | − | 1.20678i | − | 0.0461086i | ||||||
\(686\) | 25.8366 | + | 4.29757i | 0.986447 | + | 0.164082i | ||||
\(687\) | −22.2297 | + | 1.16807i | −0.848117 | + | 0.0445648i | ||||
\(688\) | −22.5190 | + | 9.32036i | −0.858527 | + | 0.355335i | ||||
\(689\) | 68.2322 | − | 39.3939i | 2.59944 | − | 1.50079i | ||||
\(690\) | 0.842441 | − | 2.15285i | 0.0320712 | − | 0.0819577i | ||||
\(691\) | 12.6720 | − | 21.9486i | 0.482066 | − | 0.834964i | −0.517722 | − | 0.855549i | \(-0.673220\pi\) |
0.999788 | + | 0.0205855i | \(0.00655304\pi\) | |||||||
\(692\) | 40.4040 | − | 8.03105i | 1.53593 | − | 0.305295i | ||||
\(693\) | −6.37648 | + | 5.54184i | −0.242222 | + | 0.210517i | ||||
\(694\) | −21.7121 | + | 2.13694i | −0.824180 | + | 0.0811170i | ||||
\(695\) | −1.37619 | + | 2.38362i | −0.0522017 | + | 0.0904160i | ||||
\(696\) | 31.8922 | + | 26.8834i | 1.20887 | + | 1.01901i | ||||
\(697\) | −16.1195 | − | 27.9199i | −0.610571 | − | 1.05754i | ||||
\(698\) | 7.09853 | − | 0.698649i | 0.268683 | − | 0.0264442i | ||||
\(699\) | 21.0913 | + | 32.4680i | 0.797747 | + | 1.22805i | ||||
\(700\) | 6.26209 | − | 25.5339i | 0.236685 | − | 0.965092i | ||||
\(701\) | 6.24632 | 0.235920 | 0.117960 | − | 0.993018i | \(-0.462364\pi\) | ||||
0.117960 | + | 0.993018i | \(0.462364\pi\) | |||||||
\(702\) | −36.0493 | + | 35.6049i | −1.36059 | + | 1.34382i | ||||
\(703\) | 8.93532 | + | 5.15881i | 0.337002 | + | 0.194568i | ||||
\(704\) | 4.72771 | + | 7.08188i | 0.178182 | + | 0.266909i | ||||
\(705\) | 2.76103 | + | 1.40634i | 0.103986 | + | 0.0529657i | ||||
\(706\) | −6.43486 | + | 14.1994i | −0.242179 | + | 0.534403i | ||||
\(707\) | 2.08952 | + | 2.98654i | 0.0785843 | + | 0.112320i | ||||
\(708\) | −0.895562 | + | 3.17541i | −0.0336573 | + | 0.119339i | ||||
\(709\) | −41.3213 | − | 23.8569i | −1.55185 | − | 0.895964i | −0.997991 | − | 0.0633563i | \(-0.979820\pi\) |
−0.553864 | − | 0.832607i | \(-0.686847\pi\) | |||||||
\(710\) | −0.431736 | − | 0.195653i | −0.0162028 | − | 0.00734273i | ||||
\(711\) | −29.3954 | − | 13.0780i | −1.10241 | − | 0.490464i | ||||
\(712\) | 16.1394 | + | 15.1225i | 0.604851 | + | 0.566740i | ||||
\(713\) | 12.3899 | − | 7.15332i | 0.464006 | − | 0.267894i | ||||
\(714\) | 29.8109 | + | 8.76971i | 1.11564 | + | 0.328198i | ||||
\(715\) | −0.651707 | + | 1.12879i | −0.0243725 | + | 0.0422144i | ||||
\(716\) | 3.01304 | + | 15.1585i | 0.112602 | + | 0.566501i | ||||
\(717\) | −20.3173 | − | 10.3487i | −0.758763 | − | 0.386478i | ||||
\(718\) | −0.415117 | − | 4.21774i | −0.0154920 | − | 0.157405i | ||||
\(719\) | −3.59122 | − | 6.22018i | −0.133930 | − | 0.231973i | 0.791258 | − | 0.611482i | \(-0.209426\pi\) |
−0.925188 | + | 0.379509i | \(0.876093\pi\) | |||||||
\(720\) | −0.0557939 | + | 2.13052i | −0.00207932 | + | 0.0793997i | ||||
\(721\) | 29.4781 | − | 20.6242i | 1.09782 | − | 0.768085i | ||||
\(722\) | −3.50709 | + | 2.51277i | −0.130520 | + | 0.0935158i | ||||
\(723\) | −1.14337 | − | 21.7595i | −0.0425223 | − | 0.809246i | ||||
\(724\) | 10.8196 | − | 9.48591i | 0.402108 | − | 0.352541i | ||||
\(725\) | −21.1514 | − | 36.6353i | −0.785543 | − | 1.36060i | ||||
\(726\) | 8.80750 | − | 22.5075i | 0.326877 | − | 0.835332i | ||||
\(727\) | −8.10429 | + | 4.67901i | −0.300571 | + | 0.173535i | −0.642700 | − | 0.766118i | \(-0.722186\pi\) |
0.342128 | + | 0.939653i | \(0.388852\pi\) | |||||||
\(728\) | 47.8940 | − | 19.1964i | 1.77507 | − | 0.711467i | ||||
\(729\) | −25.6716 | + | 8.36462i | −0.950801 | + | 0.309801i | ||||
\(730\) | 1.26218 | − | 0.904330i | 0.0467152 | − | 0.0334708i | ||||
\(731\) | 29.2143i | 1.08053i | ||||||||
\(732\) | −34.4526 | + | 8.74982i | −1.27341 | + | 0.323402i | ||||
\(733\) | − | 23.6140i | − | 0.872204i | −0.899897 | − | 0.436102i | \(-0.856359\pi\) | ||
0.899897 | − | 0.436102i | \(-0.143641\pi\) | |||||||
\(734\) | −10.7909 | + | 23.8117i | −0.398300 | + | 0.878905i | ||||
\(735\) | 2.05886 | + | 0.630847i | 0.0759420 | + | 0.0232692i | ||||
\(736\) | −15.8829 | + | 25.5221i | −0.585453 | + | 0.940758i | ||||
\(737\) | −1.61568 | + | 0.932812i | −0.0595142 | + | 0.0343606i | ||||
\(738\) | −18.9531 | − | 21.3198i | −0.697672 | − | 0.784792i | ||||
\(739\) | −16.8425 | + | 29.1720i | −0.619560 | + | 1.07311i | 0.370006 | + | 0.929029i | \(0.379355\pi\) |
−0.989566 | + | 0.144080i | \(0.953978\pi\) | |||||||
\(740\) | 0.868939 | + | 0.295099i | 0.0319429 | + | 0.0108481i | ||||
\(741\) | 47.6289 | − | 2.50268i | 1.74969 | − | 0.0919384i | ||||
\(742\) | −40.3272 | − | 14.2019i | −1.48046 | − | 0.521369i | ||||
\(743\) | 16.9812 | − | 29.4122i | 0.622978 | − | 1.07903i | −0.365950 | − | 0.930635i | \(-0.619256\pi\) |
0.988928 | − | 0.148395i | \(-0.0474108\pi\) | |||||||
\(744\) | −8.50060 | + | 10.0844i | −0.311647 | + | 0.369712i | ||||
\(745\) | −2.19790 | −0.0805249 | ||||||||
\(746\) | 21.4452 | − | 47.3219i | 0.785165 | − | 1.73258i | ||||
\(747\) | 2.93671 | − | 2.13488i | 0.107449 | − | 0.0781112i | ||||
\(748\) | 10.0111 | − | 1.98989i | 0.366041 | − | 0.0727575i | ||||
\(749\) | −3.36955 | − | 1.57280i | −0.123121 | − | 0.0574688i | ||||
\(750\) | 1.58031 | − | 4.03848i | 0.0577049 | − | 0.147464i | ||||
\(751\) | 24.5952i | 0.897491i | 0.893660 | + | 0.448745i | \(0.148129\pi\) | ||||
−0.893660 | + | 0.448745i | \(0.851871\pi\) | |||||||
\(752\) | −31.9581 | − | 24.5363i | −1.16539 | − | 0.894748i | ||||
\(753\) | −11.6493 | + | 0.612120i | −0.424525 | + | 0.0223069i | ||||
\(754\) | 34.2696 | − | 75.6206i | 1.24802 | − | 2.75394i | ||||
\(755\) | 1.59692i | 0.0581178i | ||||||||
\(756\) | 27.4008 | + | 2.27970i | 0.996557 | + | 0.0829119i | ||||
\(757\) | − | 0.811324i | − | 0.0294881i | −0.999891 | − | 0.0147440i | \(-0.995307\pi\) | ||
0.999891 | − | 0.0147440i | \(-0.00469334\pi\) | |||||||
\(758\) | 2.71394 | + | 1.22990i | 0.0985747 | + | 0.0446719i | ||||
\(759\) | −9.78314 | + | 0.514060i | −0.355106 | + | 0.0186592i | ||||
\(760\) | 1.37171 | − | 1.46395i | 0.0497571 | − | 0.0531030i | ||||
\(761\) | 4.87141i | 0.176588i | 0.996094 | + | 0.0882942i | \(0.0281416\pi\) | ||||
−0.996094 | + | 0.0882942i | \(0.971858\pi\) | |||||||
\(762\) | −18.7015 | − | 7.31816i | −0.677484 | − | 0.265109i | ||||
\(763\) | −1.43403 | − | 16.4627i | −0.0519154 | − | 0.595990i | ||||
\(764\) | −11.8573 | + | 2.35687i | −0.428983 | + | 0.0852684i | ||||
\(765\) | 2.33416 | + | 1.03847i | 0.0843917 | + | 0.0375458i | ||||
\(766\) | 23.5045 | + | 10.6517i | 0.849250 | + | 0.384861i | ||||
\(767\) | 6.56699 | 0.237120 | ||||||||
\(768\) | 5.77310 | − | 27.1048i | 0.208319 | − | 0.978061i | ||||
\(769\) | −10.8811 | + | 18.8466i | −0.392382 | + | 0.679626i | −0.992763 | − | 0.120088i | \(-0.961682\pi\) |
0.600381 | + | 0.799714i | \(0.295016\pi\) | |||||||
\(770\) | 0.695240 | − | 0.130103i | 0.0250547 | − | 0.00468859i | ||||
\(771\) | 13.5162 | − | 0.710218i | 0.486776 | − | 0.0255779i | ||||
\(772\) | 1.23195 | − | 3.62756i | 0.0443388 | − | 0.130559i | ||||
\(773\) | 20.7830 | − | 35.9972i | 0.747513 | − | 1.29473i | −0.201499 | − | 0.979489i | \(-0.564581\pi\) |
0.949012 | − | 0.315241i | \(-0.102085\pi\) | |||||||
\(774\) | 5.21410 | + | 25.3186i | 0.187417 | + | 0.910059i | ||||
\(775\) | 11.5842 | − | 6.68813i | 0.416116 | − | 0.240245i | ||||
\(776\) | −22.8398 | + | 24.3756i | −0.819899 | + | 0.875034i | ||||
\(777\) | 4.43764 | − | 10.9760i | 0.159200 | − | 0.393760i | ||||
\(778\) | 40.8697 | + | 18.5212i | 1.46525 | + | 0.664018i | ||||
\(779\) | 26.8522i | 0.962081i | ||||||||
\(780\) | 4.11158 | − | 1.04420i | 0.147218 | − | 0.0373885i | ||||
\(781\) | 2.00864i | 0.0718748i | ||||||||
\(782\) | 20.9870 | + | 29.2916i | 0.750493 | + | 1.04746i | ||||
\(783\) | 34.3706 | − | 27.8562i | 1.22831 | − | 0.995500i | ||||
\(784\) | −24.8229 | − | 12.9546i | −0.886534 | − | 0.462664i | ||||
\(785\) | −1.79798 | + | 1.03806i | −0.0641726 | + | 0.0370500i | ||||
\(786\) | −28.2265 | − | 11.0454i | −1.00681 | − | 0.393977i | ||||
\(787\) | 5.72076 | + | 9.90865i | 0.203923 | + | 0.353205i | 0.949789 | − | 0.312891i | \(-0.101297\pi\) |
−0.745866 | + | 0.666096i | \(0.767964\pi\) | |||||||
\(788\) | 7.93595 | + | 9.05175i | 0.282707 | + | 0.322455i | ||||
\(789\) | −1.75711 | − | 33.4397i | −0.0625548 | − | 1.19049i | ||||
\(790\) | 1.56885 | + | 2.18964i | 0.0558170 | + | 0.0779040i | ||||
\(791\) | 3.40132 | + | 39.0472i | 0.120937 | + | 1.38836i | ||||
\(792\) | 8.32095 | − | 3.51129i | 0.295672 | − | 0.124768i | ||||
\(793\) | 35.3763 | + | 61.2735i | 1.25625 | + | 2.17589i | ||||
\(794\) | 30.2257 | − | 2.97486i | 1.07267 | − | 0.105574i | ||||
\(795\) | −3.13217 | − | 1.59538i | −0.111087 | − | 0.0565823i | ||||
\(796\) | 5.36209 | + | 26.9766i | 0.190054 | + | 0.956159i | ||||
\(797\) | −2.37197 | + | 4.10838i | −0.0840196 | + | 0.145526i | −0.904973 | − | 0.425469i | \(-0.860109\pi\) |
0.820953 | + | 0.570995i | \(0.193443\pi\) | |||||||
\(798\) | −17.8510 | − | 18.7406i | −0.631919 | − | 0.663412i | ||||
\(799\) | −41.8263 | + | 24.1484i | −1.47971 | + | 0.854310i | ||||
\(800\) | −14.8500 | + | 23.8624i | −0.525028 | + | 0.843663i | ||||
\(801\) | 18.9748 | − | 13.7940i | 0.670442 | − | 0.487386i | ||||
\(802\) | 15.2515 | − | 33.6545i | 0.538548 | − | 1.18838i | ||||
\(803\) | −5.69829 | − | 3.28991i | −0.201088 | − | 0.116098i | ||||
\(804\) | 5.84390 | + | 1.64816i | 0.206099 | + | 0.0581260i | ||||
\(805\) | 1.43147 | + | 2.04600i | 0.0504528 | + | 0.0721120i | ||||
\(806\) | 23.9114 | + | 10.8361i | 0.842245 | + | 0.381686i | ||||
\(807\) | −10.7992 | − | 5.50059i | −0.380149 | − | 0.193630i | ||||
\(808\) | −1.13035 | − | 3.72904i | −0.0397654 | − | 0.131187i | ||||
\(809\) | −11.8570 | − | 6.84566i | −0.416871 | − | 0.240681i | 0.276867 | − | 0.960908i | \(-0.410704\pi\) |
−0.693738 | + | 0.720228i | \(0.744037\pi\) | |||||||
\(810\) | 2.20824 | + | 0.483392i | 0.0775897 | + | 0.0169847i | ||||
\(811\) | −1.28941 | −0.0452773 | −0.0226387 | − | 0.999744i | \(-0.507207\pi\) | ||||
−0.0226387 | + | 0.999744i | \(0.507207\pi\) | |||||||
\(812\) | −43.2599 | + | 12.5849i | −1.51813 | + | 0.441643i | ||||
\(813\) | 2.36741 | + | 3.64440i | 0.0830288 | + | 0.127815i | ||||
\(814\) | −0.380902 | − | 3.87011i | −0.0133506 | − | 0.135647i | ||||
\(815\) | 1.41436 | + | 2.44975i | 0.0495430 | + | 0.0858110i | ||||
\(816\) | −27.3745 | − | 18.8196i | −0.958298 | − | 0.658817i | ||||
\(817\) | 12.1664 | − | 21.0729i | 0.425650 | − | 0.737248i | ||||
\(818\) | 3.30832 | + | 33.6137i | 0.115673 | + | 1.17528i | ||||
\(819\) | −10.4370 | − | 53.7234i | −0.364699 | − | 1.87725i | ||||
\(820\) | 0.465614 | + | 2.34249i | 0.0162599 | + | 0.0818034i | ||||
\(821\) | 17.0149 | − | 29.4707i | 0.593825 | − | 1.02854i | −0.399886 | − | 0.916565i | \(-0.630950\pi\) |
0.993711 | − | 0.111971i | \(-0.0357163\pi\) | |||||||
\(822\) | 15.4993 | + | 6.06509i | 0.540600 | + | 0.211544i | ||||
\(823\) | −28.4227 | + | 16.4098i | −0.990752 | + | 0.572011i | −0.905499 | − | 0.424348i | \(-0.860503\pi\) |
−0.0852531 | + | 0.996359i | \(0.527170\pi\) | |||||||
\(824\) | −36.8068 | + | 11.1569i | −1.28223 | + | 0.388668i | ||||
\(825\) | −9.14693 | + | 0.480630i | −0.318455 | + | 0.0167334i | ||||
\(826\) | −2.31909 | − | 2.70579i | −0.0806915 | − | 0.0941464i | ||||
\(827\) | − | 31.3779i | − | 1.09112i | −0.838073 | − | 0.545558i | \(-0.816318\pi\) | ||
0.838073 | − | 0.545558i | \(-0.183682\pi\) | |||||||
\(828\) | 23.4162 | + | 21.6398i | 0.813771 | + | 0.752036i | ||||
\(829\) | 37.5509 | + | 21.6800i | 1.30420 | + | 0.752978i | 0.981121 | − | 0.193396i | \(-0.0619501\pi\) |
0.323075 | + | 0.946373i | \(0.395283\pi\) | |||||||
\(830\) | −0.302513 | + | 0.0297738i | −0.0105004 | + | 0.00103346i | ||||
\(831\) | −11.1487 | + | 0.585815i | −0.386745 | + | 0.0203217i | ||||
\(832\) | −55.0438 | + | 3.58481i | −1.90830 | + | 0.124281i | ||||
\(833\) | −25.7277 | + | 21.5550i | −0.891410 | + | 0.746835i | ||||
\(834\) | −23.6976 | − | 29.6548i | −0.820582 | − | 1.02686i | ||||
\(835\) | 1.03954 | − | 1.80054i | 0.0359749 | − | 0.0623103i | ||||
\(836\) | −8.04990 | − | 2.73381i | −0.278411 | − | 0.0945509i | ||||
\(837\) | 8.80822 | + | 10.8681i | 0.304457 | + | 0.375656i | ||||
\(838\) | 3.05980 | + | 4.27057i | 0.105699 | + | 0.147525i | ||||
\(839\) | −0.776590 | − | 1.34509i | −0.0268109 | − | 0.0464378i | 0.852309 | − | 0.523039i | \(-0.175202\pi\) |
−0.879120 | + | 0.476601i | \(0.841869\pi\) | |||||||
\(840\) | −1.88222 | − | 1.32533i | −0.0649427 | − | 0.0457284i | ||||
\(841\) | −21.7464 | + | 37.6659i | −0.749877 | + | 1.29883i | ||||
\(842\) | 20.2141 | − | 1.98951i | 0.696625 | − | 0.0685629i | ||||
\(843\) | 11.2414 | + | 17.3050i | 0.387174 | + | 0.596016i | ||||
\(844\) | −31.7130 | + | 6.30355i | −1.09161 | + | 0.216977i | ||||
\(845\) | −3.06738 | − | 5.31285i | −0.105521 | − | 0.182768i | ||||
\(846\) | −31.9388 | + | 28.3933i | −1.09808 | + | 0.976181i | ||||
\(847\) | 14.9657 | + | 21.3904i | 0.514227 | + | 0.734983i | ||||
\(848\) | 36.2540 | + | 27.8346i | 1.24497 | + | 0.955843i | ||||
\(849\) | 3.49919 | − | 2.27308i | 0.120092 | − | 0.0780121i | ||||
\(850\) | 19.6222 | + | 27.3867i | 0.673035 | + | 0.939356i | ||||
\(851\) | 11.8895 | − | 6.86441i | 0.407567 | − | 0.235309i | ||||
\(852\) | 4.68271 | − | 4.56169i | 0.160427 | − | 0.156281i | ||||
\(853\) | −30.1855 | + | 17.4276i | −1.03353 | + | 0.596710i | −0.917995 | − | 0.396593i | \(-0.870192\pi\) |
−0.115538 | + | 0.993303i | \(0.536859\pi\) | |||||||
\(854\) | 12.7535 | − | 36.2144i | 0.436417 | − | 1.23923i | ||||
\(855\) | −1.25120 | − | 1.72114i | −0.0427902 | − | 0.0588617i | ||||
\(856\) | 2.90086 | + | 2.71808i | 0.0991492 | + | 0.0929020i | ||||
\(857\) | − | 27.7990i | − | 0.949595i | −0.880095 | − | 0.474797i | \(-0.842521\pi\) | ||
0.880095 | − | 0.474797i | \(-0.157479\pi\) | |||||||
\(858\) | −11.2223 | − | 14.0433i | −0.383122 | − | 0.479432i | ||||
\(859\) | −30.7593 | −1.04949 | −0.524747 | − | 0.851258i | \(-0.675840\pi\) | ||||
−0.524747 | + | 0.851258i | \(0.675840\pi\) | |||||||
\(860\) | 0.695957 | − | 2.04929i | 0.0237319 | − | 0.0698803i | ||||
\(861\) | 30.5131 | − | 4.28086i | 1.03988 | − | 0.145891i | ||||
\(862\) | −16.2230 | + | 11.6235i | −0.552556 | + | 0.395898i | ||||
\(863\) | −26.5232 | − | 45.9395i | −0.902860 | − | 1.56380i | −0.823764 | − | 0.566933i | \(-0.808130\pi\) |
−0.0790960 | − | 0.996867i | \(-0.525203\pi\) | |||||||
\(864\) | −27.0830 | − | 11.4243i | −0.921381 | − | 0.388661i | ||||
\(865\) | −1.82908 | + | 3.16805i | −0.0621904 | + | 0.107717i | ||||
\(866\) | 15.2263 | + | 6.90024i | 0.517412 | + | 0.234480i | ||||
\(867\) | −8.70096 | + | 5.65217i | −0.295500 | + | 0.191958i | ||||
\(868\) | −3.97938 | − | 13.6789i | −0.135069 | − | 0.464293i | ||||
\(869\) | 5.70738 | − | 9.88548i | 0.193610 | − | 0.335342i | ||||
\(870\) | −3.66212 | + | 0.555733i | −0.124157 | + | 0.0188411i | ||||
\(871\) | − | 12.0856i | − | 0.409506i | ||||||
\(872\) | −4.01510 | + | 17.2037i | −0.135968 | + | 0.582590i | ||||
\(873\) | 20.8333 | + | 28.6580i | 0.705099 | + | 0.969925i | ||||
\(874\) | −2.93973 | − | 29.8687i | −0.0994377 | − | 1.01032i | ||||
\(875\) | 2.68526 | + | 3.83804i | 0.0907785 | + | 0.129749i | ||||
\(876\) | 5.27128 | + | 20.7558i | 0.178100 | + | 0.701274i | ||||
\(877\) | − | 4.97513i | − | 0.167998i | −0.996466 | − | 0.0839991i | \(-0.973231\pi\) | ||
0.996466 | − | 0.0839991i | \(-0.0267693\pi\) | |||||||
\(878\) | 1.23657 | + | 1.72588i | 0.0417321 | + | 0.0582456i | ||||
\(879\) | 3.77973 | + | 1.92522i | 0.127487 | + | 0.0649359i | ||||
\(880\) | −0.749649 | − | 0.0989042i | −0.0252707 | − | 0.00333406i | ||||
\(881\) | 17.9692i | 0.605399i | 0.953086 | + | 0.302699i | \(0.0978878\pi\) | ||||
−0.953086 | + | 0.302699i | \(0.902112\pi\) | |||||||
\(882\) | −18.4498 | + | 23.2724i | −0.621237 | + | 0.783623i | ||||
\(883\) | −10.4031 | −0.350091 | −0.175045 | − | 0.984560i | \(-0.556007\pi\) | ||||
−0.175045 | + | 0.984560i | \(0.556007\pi\) | |||||||
\(884\) | −21.2626 | + | 62.6092i | −0.715139 | + | 2.10578i | ||||
\(885\) | −0.159604 | − | 0.245694i | −0.00536502 | − | 0.00825893i | ||||
\(886\) | 1.01310 | + | 1.41398i | 0.0340357 | + | 0.0475037i | ||||
\(887\) | 53.4355 | 1.79419 | 0.897094 | − | 0.441841i | \(-0.145674\pi\) | ||||
0.897094 | + | 0.441841i | \(0.145674\pi\) | |||||||
\(888\) | −8.15727 | + | 9.67712i | −0.273740 | + | 0.324743i | ||||
\(889\) | 17.7733 | − | 12.4350i | 0.596097 | − | 0.417056i | ||||
\(890\) | −1.95461 | + | 0.192376i | −0.0655187 | + | 0.00644845i | ||||
\(891\) | −1.99680 | − | 9.36889i | −0.0668953 | − | 0.313870i | ||||
\(892\) | 36.3064 | + | 12.3300i | 1.21563 | + | 0.412837i | ||||
\(893\) | 40.2269 | 1.34614 | ||||||||
\(894\) | 11.0463 | − | 28.2288i | 0.369444 | − | 0.944112i | ||||
\(895\) | −1.18857 | − | 0.686221i | −0.0397295 | − | 0.0229378i | ||||
\(896\) | 20.9154 | + | 21.4137i | 0.698735 | + | 0.715381i | ||||
\(897\) | 28.8040 | − | 56.5502i | 0.961736 | − | 1.88816i | ||||
\(898\) | −17.8112 | + | 39.3030i | −0.594369 | + | 1.31156i | ||||
\(899\) | −19.8514 | − | 11.4612i | −0.662082 | − | 0.382253i | ||||
\(900\) | 21.8935 | + | 20.2326i | 0.729782 | + | 0.674419i | ||||
\(901\) | 47.4487 | − | 27.3945i | 1.58075 | − | 0.912644i | ||||
\(902\) | 8.22710 | − | 5.89460i | 0.273933 | − | 0.196269i | ||||
\(903\) | −25.8855 | − | 10.4657i | −0.861415 | − | 0.348275i | ||||
\(904\) | 9.52325 | − | 40.8047i | 0.316739 | − | 1.35714i | ||||
\(905\) | 1.27778i | 0.0424749i | ||||||||
\(906\) | −20.5101 | − | 8.02587i | −0.681401 | − | 0.266642i | ||||
\(907\) | −33.2499 | −1.10405 | −0.552023 | − | 0.833829i | \(-0.686144\pi\) | ||||
−0.552023 | + | 0.833829i | \(0.686144\pi\) | |||||||
\(908\) | −16.0361 | + | 14.0593i | −0.532176 | + | 0.466576i | ||||
\(909\) | −4.11020 | + | 0.433141i | −0.136327 | + | 0.0143664i | ||||
\(910\) | −1.52201 | + | 4.32182i | −0.0504540 | + | 0.143267i | ||||
\(911\) | −11.0891 | − | 19.2068i | −0.367397 | − | 0.636350i | 0.621761 | − | 0.783207i | \(-0.286418\pi\) |
−0.989158 | + | 0.146857i | \(0.953084\pi\) | |||||||
\(912\) | 11.9083 | + | 24.9752i | 0.394322 | + | 0.827010i | ||||
\(913\) | 0.644068 | + | 1.11556i | 0.0213155 | + | 0.0369196i | ||||
\(914\) | 7.48838 | − | 5.36532i | 0.247694 | − | 0.177469i | ||||
\(915\) | 1.43267 | − | 2.81274i | 0.0473628 | − | 0.0929862i | ||||
\(916\) | −19.3277 | + | 16.9452i | −0.638605 | + | 0.559885i | ||||
\(917\) | 26.8255 | − | 18.7684i | 0.885858 | − | 0.619786i | ||||
\(918\) | −25.0687 | + | 24.7597i | −0.827390 | + | 0.817190i | ||||
\(919\) | −14.5184 | + | 8.38221i | −0.478918 | + | 0.276504i | −0.719966 | − | 0.694010i | \(-0.755842\pi\) |
0.241047 | + | 0.970513i | \(0.422509\pi\) | |||||||
\(920\) | −0.774371 | − | 2.55467i | −0.0255303 | − | 0.0842249i | ||||
\(921\) | 2.17691 | + | 41.4290i | 0.0717315 | + | 1.36513i | ||||
\(922\) | 2.46896 | + | 25.0856i | 0.0813109 | + | 0.826149i | ||||
\(923\) | −11.2688 | − | 6.50606i | −0.370918 | − | 0.214150i | ||||
\(924\) | −1.82319 | + | 9.58321i | −0.0599786 | + | 0.315265i | ||||
\(925\) | 11.1163 | − | 6.41801i | 0.365502 | − | 0.211023i | ||||
\(926\) | 5.39630 | + | 7.53162i | 0.177333 | + | 0.247504i | ||||
\(927\) | 4.27524 | + | 40.5690i | 0.140417 | + | 1.33246i | ||||
\(928\) | 48.1377 | + | 1.59254i | 1.58020 | + | 0.0522776i | ||||
\(929\) | −13.0231 | − | 7.51888i | −0.427274 | − | 0.246686i | 0.270911 | − | 0.962604i | \(-0.412675\pi\) |
−0.698184 | + | 0.715918i | \(0.746008\pi\) | |||||||
\(930\) | −0.175724 | − | 1.15797i | −0.00576223 | − | 0.0379714i | ||||
\(931\) | 27.5345 | − | 4.83363i | 0.902408 | − | 0.158416i | ||||
\(932\) | 42.3321 | + | 14.3764i | 1.38663 | + | 0.470913i | ||||
\(933\) | −10.6646 | + | 6.92776i | −0.349144 | + | 0.226805i | ||||
\(934\) | −21.4914 | + | 2.11522i | −0.703220 | + | 0.0692120i | ||||
\(935\) | −0.453198 | + | 0.784962i | −0.0148212 | + | 0.0256710i | ||||
\(936\) | −7.25292 | + | 58.0552i | −0.237069 | + | 1.89759i | ||||
\(937\) | −28.0665 | −0.916894 | −0.458447 | − | 0.888722i | \(-0.651594\pi\) | ||||
−0.458447 | + | 0.888722i | \(0.651594\pi\) | |||||||
\(938\) | −4.97963 | + | 4.26796i | −0.162591 | + | 0.139354i | ||||
\(939\) | 30.4512 | + | 15.5104i | 0.993737 | + | 0.506162i | ||||
\(940\) | 3.50925 | − | 0.697529i | 0.114459 | − | 0.0227509i | ||||
\(941\) | 1.55290 | + | 2.68970i | 0.0506230 | + | 0.0876817i | 0.890227 | − | 0.455518i | \(-0.150546\pi\) |
−0.839603 | + | 0.543200i | \(0.817213\pi\) | |||||||
\(942\) | −4.29602 | − | 28.3095i | −0.139972 | − | 0.922374i | ||||
\(943\) | 30.9432 | + | 17.8650i | 1.00765 | + | 0.581766i | ||||
\(944\) | 1.45693 | + | 3.52009i | 0.0474190 | + | 0.114569i | ||||
\(945\) | −1.75632 | + | 1.69617i | −0.0571331 | + | 0.0551766i | ||||
\(946\) | −9.12719 | + | 0.898312i | −0.296750 | + | 0.0292066i | ||||
\(947\) | −32.7209 | − | 18.8914i | −1.06329 | − | 0.613889i | −0.136947 | − | 0.990578i | \(-0.543729\pi\) |
−0.926339 | + | 0.376690i | \(0.877062\pi\) | |||||||
\(948\) | −36.0075 | + | 9.14470i | −1.16947 | + | 0.297006i | ||||
\(949\) | 36.9139 | − | 21.3122i | 1.19828 | − | 0.691825i | ||||
\(950\) | −2.74855 | − | 27.9263i | −0.0891748 | − | 0.906050i | ||||
\(951\) | −13.7891 | − | 7.02349i | −0.447141 | − | 0.227752i | ||||
\(952\) | 33.3055 | − | 13.3492i | 1.07944 | − | 0.432651i | ||||
\(953\) | − | 11.1238i | − | 0.360337i | −0.983636 | − | 0.180168i | \(-0.942336\pi\) | ||
0.983636 | − | 0.180168i | \(-0.0576642\pi\) | |||||||
\(954\) | 36.2321 | − | 32.2100i | 1.17306 | − | 1.04284i | ||||
\(955\) | 0.536777 | − | 0.929726i | 0.0173697 | − | 0.0300852i | ||||
\(956\) | −25.8232 | + | 5.13283i | −0.835181 | + | 0.166008i | ||||
\(957\) | 8.55069 | + | 13.1629i | 0.276404 | + | 0.425498i | ||||
\(958\) | 37.6747 | + | 17.0733i | 1.21721 | + | 0.551614i | ||||
\(959\) | −14.7300 | + | 10.3058i | −0.475657 | + | 0.332791i | ||||
\(960\) | 1.47190 | + | 1.97226i | 0.0475054 | + | 0.0636544i | ||||
\(961\) | −11.8759 | + | 20.5697i | −0.383094 | + | 0.663539i | ||||
\(962\) | 22.9457 | + | 10.3985i | 0.739799 | + | 0.335260i | ||||
\(963\) | 3.41048 | − | 2.47929i | 0.109901 | − | 0.0798941i | ||||
\(964\) | −16.5868 | − | 18.9189i | −0.534225 | − | 0.609337i | ||||
\(965\) | 0.170102 | + | 0.294625i | 0.00547578 | + | 0.00948433i | ||||
\(966\) | −33.4722 | + | 8.10227i | −1.07695 | + | 0.260686i | ||||
\(967\) | −27.2608 | − | 15.7390i | −0.876648 | − | 0.506133i | −0.00709614 | − | 0.999975i | \(-0.502259\pi\) |
−0.869552 | + | 0.493842i | \(0.835592\pi\) | |||||||
\(968\) | −8.09585 | − | 26.7084i | −0.260210 | − | 0.858440i | ||||
\(969\) | 33.1212 | − | 1.74037i | 1.06400 | − | 0.0559087i | ||||
\(970\) | −0.290548 | − | 2.95208i | −0.00932893 | − | 0.0947855i | ||||
\(971\) | 38.1587 | − | 22.0309i | 1.22457 | − | 0.707006i | 0.258681 | − | 0.965963i | \(-0.416712\pi\) |
0.965889 | + | 0.258957i | \(0.0833789\pi\) | |||||||
\(972\) | −17.3067 | + | 25.9322i | −0.555114 | + | 0.831774i | ||||
\(973\) | 40.8472 | − | 3.55811i | 1.30950 | − | 0.114068i | ||||
\(974\) | −14.3360 | − | 20.0088i | −0.459356 | − | 0.641124i | ||||
\(975\) | 26.9308 | − | 52.8726i | 0.862476 | − | 1.69328i | ||||
\(976\) | −24.9959 | + | 32.5566i | −0.800098 | + | 1.04211i | ||||
\(977\) | −46.9235 | + | 27.0913i | −1.50122 | + | 0.866728i | −0.501217 | + | 0.865322i | \(0.667114\pi\) |
−0.999999 | + | 0.00140591i | \(0.999552\pi\) | |||||||
\(978\) | −38.5718 | + | 5.85334i | −1.23339 | + | 0.187169i | ||||
\(979\) | 4.16148 | + | 7.20789i | 0.133001 | + | 0.230365i | ||||
\(980\) | 2.31820 | − | 0.899115i | 0.0740523 | − | 0.0287212i | ||||
\(981\) | 17.1198 | + | 7.61658i | 0.546592 | + | 0.243179i | ||||
\(982\) | 20.7082 | + | 28.9025i | 0.660826 | + | 0.922317i | ||||
\(983\) | 1.12669 | 0.0359358 | 0.0179679 | − | 0.999839i | \(-0.494280\pi\) | ||||
0.0179679 | + | 0.999839i | \(0.494280\pi\) | |||||||
\(984\) | −32.4260 | − | 5.79289i | −1.03370 | − | 0.184671i | ||||
\(985\) | −1.06900 | −0.0340611 | ||||||||
\(986\) | 23.8311 | − | 52.5866i | 0.758936 | − | 1.67470i | ||||
\(987\) | −6.41309 | − | 45.7112i | −0.204131 | − | 1.45500i | ||||
\(988\) | 41.4110 | − | 36.3064i | 1.31746 | − | 1.15506i | ||||
\(989\) | −16.1889 | − | 28.0400i | −0.514777 | − | 0.891621i | ||||
\(990\) | −0.252666 | + | 0.761173i | −0.00803025 | + | 0.0241917i | ||||
\(991\) | −3.38453 | − | 1.95406i | −0.107513 | − | 0.0620728i | 0.445279 | − | 0.895392i | \(-0.353104\pi\) |
−0.552792 | + | 0.833319i | \(0.686438\pi\) | |||||||
\(992\) | −0.503565 | + | 15.2213i | −0.0159882 | + | 0.483276i | ||||
\(993\) | 17.2661 | + | 8.79452i | 0.547923 | + | 0.279086i | ||||
\(994\) | 1.29883 | + | 6.94065i | 0.0411964 | + | 0.220144i | ||||
\(995\) | −2.11521 | − | 1.22122i | −0.0670568 | − | 0.0387153i | ||||
\(996\) | 1.13798 | − | 4.03497i | 0.0360584 | − | 0.127853i | ||||
\(997\) | − | 33.0676i | − | 1.04726i | −0.851945 | − | 0.523631i | \(-0.824577\pi\) | ||
0.851945 | − | 0.523631i | \(-0.175423\pi\) | |||||||
\(998\) | −20.1912 | − | 9.15022i | −0.639143 | − | 0.289645i | ||||
\(999\) | 8.45247 | + | 10.4291i | 0.267424 | + | 0.329963i |
(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 | 504.2.cy.a.347.14 | yes | 184 | |
7.2 | even | 3 | 504.2.bt.a.275.50 | yes | 184 | ||
8.3 | odd | 2 | inner | 504.2.cy.a.347.19 | yes | 184 | |
9.2 | odd | 6 | 504.2.bt.a.11.43 | ✓ | 184 | ||
56.51 | odd | 6 | 504.2.bt.a.275.43 | yes | 184 | ||
63.2 | odd | 6 | inner | 504.2.cy.a.443.19 | yes | 184 | |
72.11 | even | 6 | 504.2.bt.a.11.50 | yes | 184 | ||
504.443 | even | 6 | inner | 504.2.cy.a.443.14 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bt.a.11.43 | ✓ | 184 | 9.2 | odd | 6 | ||
504.2.bt.a.11.50 | yes | 184 | 72.11 | even | 6 | ||
504.2.bt.a.275.43 | yes | 184 | 56.51 | odd | 6 | ||
504.2.bt.a.275.50 | yes | 184 | 7.2 | even | 3 | ||
504.2.cy.a.347.14 | yes | 184 | 1.1 | even | 1 | trivial | |
504.2.cy.a.347.19 | yes | 184 | 8.3 | odd | 2 | inner | |
504.2.cy.a.443.14 | yes | 184 | 504.443 | even | 6 | inner | |
504.2.cy.a.443.19 | yes | 184 | 63.2 | odd | 6 | inner |