Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 325.11 | ||
Character | \(\chi\) | \(=\) | 384.325 |
Dual form | 384.2.v.a.13.11 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.612256 | + | 1.27481i | −0.432931 | + | 0.901427i | ||||
\(3\) | −0.290285 | + | 0.956940i | −0.167596 | + | 0.552490i | ||||
\(4\) | −1.25028 | − | 1.56102i | −0.625142 | − | 0.780511i | ||||
\(5\) | 0.189500 | − | 1.92402i | 0.0847469 | − | 0.860450i | −0.855011 | − | 0.518610i | \(-0.826450\pi\) |
0.939758 | − | 0.341840i | \(-0.111050\pi\) | |||||||
\(6\) | −1.04219 | − | 0.955951i | −0.425472 | − | 0.390265i | ||||
\(7\) | 0.476963 | + | 0.713825i | 0.180275 | + | 0.269801i | 0.910591 | − | 0.413309i | \(-0.135627\pi\) |
−0.730316 | + | 0.683110i | \(0.760627\pi\) | |||||||
\(8\) | 2.75550 | − | 0.638130i | 0.974217 | − | 0.225613i | ||||
\(9\) | −0.831470 | − | 0.555570i | −0.277157 | − | 0.185190i | ||||
\(10\) | 2.33674 | + | 1.41957i | 0.738944 | + | 0.448908i | ||||
\(11\) | 1.06219 | + | 0.567753i | 0.320263 | + | 0.171184i | 0.623692 | − | 0.781670i | \(-0.285632\pi\) |
−0.303430 | + | 0.952854i | \(0.598132\pi\) | |||||||
\(12\) | 1.85674 | − | 0.743307i | 0.535996 | − | 0.214574i | ||||
\(13\) | 2.36283 | − | 0.232719i | 0.655332 | − | 0.0645445i | 0.235114 | − | 0.971968i | \(-0.424454\pi\) |
0.420218 | + | 0.907423i | \(0.361954\pi\) | |||||||
\(14\) | −1.20202 | + | 0.170993i | −0.321252 | + | 0.0456998i | ||||
\(15\) | 1.78617 | + | 0.739855i | 0.461187 | + | 0.191030i | ||||
\(16\) | −0.873578 | + | 3.90344i | −0.218395 | + | 0.975861i | ||||
\(17\) | 2.31292 | − | 0.958043i | 0.560966 | − | 0.232360i | −0.0841386 | − | 0.996454i | \(-0.526814\pi\) |
0.645104 | + | 0.764094i | \(0.276814\pi\) | |||||||
\(18\) | 1.21732 | − | 0.719815i | 0.286925 | − | 0.169662i | ||||
\(19\) | 5.82696 | + | 4.78206i | 1.33680 | + | 1.09708i | 0.987081 | + | 0.160223i | \(0.0512214\pi\) |
0.349714 | + | 0.936856i | \(0.386279\pi\) | |||||||
\(20\) | −3.24037 | + | 2.10976i | −0.724569 | + | 0.471758i | ||||
\(21\) | −0.821543 | + | 0.249212i | −0.179275 | + | 0.0543826i | ||||
\(22\) | −1.37411 | + | 1.00648i | −0.292961 | + | 0.214583i | ||||
\(23\) | −0.204164 | − | 1.02640i | −0.0425711 | − | 0.214019i | 0.953645 | − | 0.300935i | \(-0.0972989\pi\) |
−0.996216 | + | 0.0869159i | \(0.972299\pi\) | |||||||
\(24\) | −0.189227 | + | 2.82209i | −0.0386259 | + | 0.576057i | ||||
\(25\) | 1.23797 | + | 0.246247i | 0.247593 | + | 0.0492493i | ||||
\(26\) | −1.14999 | + | 3.15465i | −0.225531 | + | 0.618677i | ||||
\(27\) | 0.773010 | − | 0.634393i | 0.148766 | − | 0.122089i | ||||
\(28\) | 0.517958 | − | 1.63703i | 0.0978848 | − | 0.309370i | ||||
\(29\) | −0.377671 | − | 0.706573i | −0.0701317 | − | 0.131207i | 0.844412 | − | 0.535694i | \(-0.179950\pi\) |
−0.914544 | + | 0.404487i | \(0.867450\pi\) | |||||||
\(30\) | −2.03677 | + | 1.82404i | −0.371861 | + | 0.333024i | ||||
\(31\) | 2.13037 | + | 2.13037i | 0.382626 | + | 0.382626i | 0.872047 | − | 0.489421i | \(-0.162792\pi\) |
−0.489421 | + | 0.872047i | \(0.662792\pi\) | |||||||
\(32\) | −4.44130 | − | 3.50355i | −0.785118 | − | 0.619347i | ||||
\(33\) | −0.851643 | + | 0.851643i | −0.148252 | + | 0.148252i | ||||
\(34\) | −0.194777 | + | 3.53511i | −0.0334040 | + | 0.606266i | ||||
\(35\) | 1.46380 | − | 0.782418i | 0.247428 | − | 0.132253i | ||||
\(36\) | 0.172316 | + | 1.99256i | 0.0287194 | + | 0.332094i | ||||
\(37\) | −0.783750 | − | 0.955002i | −0.128848 | − | 0.157001i | 0.704590 | − | 0.709614i | \(-0.251131\pi\) |
−0.833438 | + | 0.552613i | \(0.813631\pi\) | |||||||
\(38\) | −9.66381 | + | 4.50042i | −1.56768 | + | 0.730064i | ||||
\(39\) | −0.463196 | + | 2.32864i | −0.0741707 | + | 0.372881i | ||||
\(40\) | −0.705611 | − | 5.42258i | −0.111567 | − | 0.857385i | ||||
\(41\) | −9.21349 | + | 1.83268i | −1.43891 | + | 0.286216i | −0.852043 | − | 0.523471i | \(-0.824637\pi\) |
−0.586862 | + | 0.809687i | \(0.699637\pi\) | |||||||
\(42\) | 0.185296 | − | 1.19989i | 0.0285918 | − | 0.185148i | ||||
\(43\) | 2.08700 | + | 6.87991i | 0.318264 | + | 1.04918i | 0.959471 | + | 0.281808i | \(0.0909341\pi\) |
−0.641207 | + | 0.767368i | \(0.721566\pi\) | |||||||
\(44\) | −0.441766 | − | 2.36796i | −0.0665987 | − | 0.356983i | ||||
\(45\) | −1.22649 | + | 1.49449i | −0.182835 | + | 0.222785i | ||||
\(46\) | 1.43347 | + | 0.368150i | 0.211353 | + | 0.0542808i | ||||
\(47\) | −2.53591 | − | 6.12224i | −0.369901 | − | 0.893020i | −0.993766 | − | 0.111488i | \(-0.964438\pi\) |
0.623865 | − | 0.781532i | \(-0.285562\pi\) | |||||||
\(48\) | −3.48177 | − | 1.96907i | −0.502551 | − | 0.284211i | ||||
\(49\) | 2.39673 | − | 5.78622i | 0.342390 | − | 0.826603i | ||||
\(50\) | −1.07187 | + | 1.42741i | −0.151585 | + | 0.201866i | ||||
\(51\) | 0.245385 | + | 2.49143i | 0.0343607 | + | 0.348870i | ||||
\(52\) | −3.31749 | − | 3.39747i | −0.460053 | − | 0.471144i | ||||
\(53\) | 1.02350 | − | 1.91484i | 0.140589 | − | 0.263023i | −0.801766 | − | 0.597638i | \(-0.796106\pi\) |
0.942355 | + | 0.334615i | \(0.108606\pi\) | |||||||
\(54\) | 0.335451 | + | 1.37385i | 0.0456491 | + | 0.186958i | ||||
\(55\) | 1.29366 | − | 1.93609i | 0.174436 | − | 0.261063i | ||||
\(56\) | 1.76978 | + | 1.66258i | 0.236497 | + | 0.222172i | ||||
\(57\) | −6.26762 | + | 4.18789i | −0.830167 | + | 0.554700i | ||||
\(58\) | 1.13198 | − | 0.0488553i | 0.148636 | − | 0.00641502i | ||||
\(59\) | 4.98169 | + | 0.490653i | 0.648560 | + | 0.0638776i | 0.416948 | − | 0.908930i | \(-0.363100\pi\) |
0.231613 | + | 0.972808i | \(0.425600\pi\) | |||||||
\(60\) | −1.07829 | − | 3.71328i | −0.139206 | − | 0.479382i | ||||
\(61\) | 4.04828 | + | 1.22803i | 0.518330 | + | 0.157234i | 0.538601 | − | 0.842561i | \(-0.318953\pi\) |
−0.0202714 | + | 0.999795i | \(0.506453\pi\) | |||||||
\(62\) | −4.02015 | + | 1.41149i | −0.510560 | + | 0.179259i | ||||
\(63\) | − | 0.858510i | − | 0.108162i | ||||||
\(64\) | 7.18558 | − | 3.51674i | 0.898197 | − | 0.439592i | ||||
\(65\) | − | 4.59025i | − | 0.569350i | ||||||
\(66\) | −0.564260 | − | 1.60711i | −0.0694556 | − | 0.197821i | ||||
\(67\) | 3.74011 | + | 1.13455i | 0.456927 | + | 0.138607i | 0.510354 | − | 0.859964i | \(-0.329514\pi\) |
−0.0534268 | + | 0.998572i | \(0.517014\pi\) | |||||||
\(68\) | −4.38734 | − | 2.41269i | −0.532043 | − | 0.292582i | ||||
\(69\) | 1.04147 | + | 0.102576i | 0.125378 | + | 0.0123487i | ||||
\(70\) | 0.101213 | + | 2.34511i | 0.0120973 | + | 0.280294i | ||||
\(71\) | 13.0171 | − | 8.69775i | 1.54485 | − | 1.03223i | 0.566797 | − | 0.823858i | \(-0.308182\pi\) |
0.978049 | − | 0.208375i | \(-0.0668175\pi\) | |||||||
\(72\) | −2.64564 | − | 1.00029i | −0.311792 | − | 0.117885i | ||||
\(73\) | −2.96864 | + | 4.44289i | −0.347453 | + | 0.520001i | −0.963500 | − | 0.267709i | \(-0.913733\pi\) |
0.616046 | + | 0.787710i | \(0.288733\pi\) | |||||||
\(74\) | 1.69730 | − | 0.414427i | 0.197307 | − | 0.0481761i | ||||
\(75\) | −0.595006 | + | 1.11318i | −0.0687054 | + | 0.128539i | ||||
\(76\) | 0.179547 | − | 15.0749i | 0.0205955 | − | 1.72921i | ||||
\(77\) | 0.101349 | + | 1.02902i | 0.0115498 | + | 0.117267i | ||||
\(78\) | −2.68499 | − | 2.01621i | −0.304015 | − | 0.228291i | ||||
\(79\) | 2.08586 | − | 5.03571i | 0.234678 | − | 0.566562i | −0.762039 | − | 0.647531i | \(-0.775802\pi\) |
0.996717 | + | 0.0809692i | \(0.0258015\pi\) | |||||||
\(80\) | 7.34478 | + | 2.42049i | 0.821171 | + | 0.270619i | ||||
\(81\) | 0.382683 | + | 0.923880i | 0.0425204 | + | 0.102653i | ||||
\(82\) | 3.30470 | − | 12.8675i | 0.364943 | − | 1.42098i | ||||
\(83\) | −5.32161 | + | 6.48441i | −0.584123 | + | 0.711756i | −0.978280 | − | 0.207287i | \(-0.933537\pi\) |
0.394157 | + | 0.919043i | \(0.371037\pi\) | |||||||
\(84\) | 1.41619 | + | 0.970860i | 0.154519 | + | 0.105930i | ||||
\(85\) | −1.40500 | − | 4.63167i | −0.152394 | − | 0.502375i | ||||
\(86\) | −10.0484 | − | 1.55174i | −1.08354 | − | 0.167329i | ||||
\(87\) | 0.785780 | − | 0.156301i | 0.0842444 | − | 0.0167573i | ||||
\(88\) | 3.28917 | + | 0.886628i | 0.350627 | + | 0.0945148i | ||||
\(89\) | −0.166186 | + | 0.835474i | −0.0176157 | + | 0.0885601i | −0.988593 | − | 0.150611i | \(-0.951876\pi\) |
0.970977 | + | 0.239171i | \(0.0768758\pi\) | |||||||
\(90\) | −1.15426 | − | 2.47856i | −0.121670 | − | 0.261263i | ||||
\(91\) | 1.29310 | + | 1.57565i | 0.135554 | + | 0.165173i | ||||
\(92\) | −1.34697 | + | 1.60200i | −0.140432 | + | 0.167020i | ||||
\(93\) | −2.65705 | + | 1.42022i | −0.275524 | + | 0.147270i | ||||
\(94\) | 9.35733 | + | 0.515569i | 0.965134 | + | 0.0531769i | ||||
\(95\) | 10.3050 | − | 10.3050i | 1.05727 | − | 1.05727i | ||||
\(96\) | 4.64193 | − | 3.23303i | 0.473765 | − | 0.329969i | ||||
\(97\) | −11.0074 | − | 11.0074i | −1.11763 | − | 1.11763i | −0.992088 | − | 0.125547i | \(-0.959931\pi\) |
−0.125547 | − | 0.992088i | \(-0.540069\pi\) | |||||||
\(98\) | 5.90892 | + | 6.59803i | 0.596891 | + | 0.666502i | ||||
\(99\) | −0.567753 | − | 1.06219i | −0.0570613 | − | 0.106754i | ||||
\(100\) | −1.16341 | − | 2.24037i | −0.116341 | − | 0.224037i | ||||
\(101\) | −3.79676 | + | 3.11592i | −0.377791 | + | 0.310045i | −0.804057 | − | 0.594553i | \(-0.797329\pi\) |
0.426265 | + | 0.904598i | \(0.359829\pi\) | |||||||
\(102\) | −3.32634 | − | 1.21258i | −0.329357 | − | 0.120063i | ||||
\(103\) | −8.67332 | − | 1.72523i | −0.854608 | − | 0.169992i | −0.251702 | − | 0.967805i | \(-0.580990\pi\) |
−0.602905 | + | 0.797813i | \(0.705990\pi\) | |||||||
\(104\) | 6.36228 | − | 2.14905i | 0.623873 | − | 0.210732i | ||||
\(105\) | 0.323808 | + | 1.62789i | 0.0316005 | + | 0.158866i | ||||
\(106\) | 1.81441 | + | 2.47714i | 0.176231 | + | 0.240601i | ||||
\(107\) | −10.3395 | + | 3.13647i | −0.999562 | + | 0.303214i | −0.747330 | − | 0.664453i | \(-0.768665\pi\) |
−0.252232 | + | 0.967667i | \(0.581165\pi\) | |||||||
\(108\) | −1.95678 | − | 0.413514i | −0.188292 | − | 0.0397904i | ||||
\(109\) | 3.81639 | + | 3.13203i | 0.365544 | + | 0.299994i | 0.799177 | − | 0.601095i | \(-0.205269\pi\) |
−0.433634 | + | 0.901089i | \(0.642769\pi\) | |||||||
\(110\) | 1.67610 | + | 2.83455i | 0.159810 | + | 0.270264i | ||||
\(111\) | 1.14139 | − | 0.472779i | 0.108336 | − | 0.0448742i | ||||
\(112\) | −3.20304 | + | 1.23821i | −0.302659 | + | 0.117000i | ||||
\(113\) | 11.9507 | + | 4.95014i | 1.12423 | + | 0.465670i | 0.865815 | − | 0.500365i | \(-0.166801\pi\) |
0.258412 | + | 0.966035i | \(0.416801\pi\) | |||||||
\(114\) | −1.50138 | − | 10.5541i | −0.140617 | − | 0.988481i | ||||
\(115\) | −2.01351 | + | 0.198313i | −0.187761 | + | 0.0184928i | ||||
\(116\) | −0.630779 | + | 1.47297i | −0.0585664 | + | 0.136762i | ||||
\(117\) | −2.09391 | − | 1.11922i | −0.193582 | − | 0.103472i | ||||
\(118\) | −3.67556 | + | 6.05030i | −0.338363 | + | 0.556975i | ||||
\(119\) | 1.78705 | + | 1.19407i | 0.163819 | + | 0.109460i | ||||
\(120\) | 5.39391 | + | 0.898864i | 0.492395 | + | 0.0820547i | ||||
\(121\) | −5.30537 | − | 7.94004i | −0.482306 | − | 0.721822i | ||||
\(122\) | −4.04410 | + | 4.40892i | −0.366135 | + | 0.399165i | ||||
\(123\) | 0.920772 | − | 9.34876i | 0.0830232 | − | 0.842949i | ||||
\(124\) | 0.661986 | − | 5.98913i | 0.0594481 | − | 0.537839i | ||||
\(125\) | 3.51447 | − | 11.5856i | 0.314343 | − | 1.03625i | ||||
\(126\) | 1.09444 | + | 0.525628i | 0.0975003 | + | 0.0468267i | ||||
\(127\) | −17.7242 | −1.57277 | −0.786386 | − | 0.617736i | \(-0.788050\pi\) | ||||
−0.786386 | + | 0.617736i | \(0.788050\pi\) | |||||||
\(128\) | 0.0837580 | + | 11.3134i | 0.00740323 | + | 0.999973i | ||||
\(129\) | −7.18948 | −0.632999 | ||||||||
\(130\) | 5.85170 | + | 2.81041i | 0.513228 | + | 0.246489i | ||||
\(131\) | −1.34537 | + | 4.43510i | −0.117546 | + | 0.387497i | −0.995894 | − | 0.0905244i | \(-0.971146\pi\) |
0.878348 | + | 0.478021i | \(0.158646\pi\) | |||||||
\(132\) | 2.39423 | + | 0.264637i | 0.208391 | + | 0.0230337i | ||||
\(133\) | −0.634313 | + | 6.44029i | −0.0550019 | + | 0.558444i | ||||
\(134\) | −3.73624 | + | 4.07330i | −0.322762 | + | 0.351879i | ||||
\(135\) | −1.07410 | − | 1.60751i | −0.0924441 | − | 0.138352i | ||||
\(136\) | 5.76190 | − | 4.11584i | 0.494079 | − | 0.352930i | ||||
\(137\) | −17.8468 | − | 11.9249i | −1.52476 | − | 1.01881i | −0.984110 | − | 0.177559i | \(-0.943180\pi\) |
−0.540646 | − | 0.841250i | \(-0.681820\pi\) | |||||||
\(138\) | −0.768412 | + | 1.26487i | −0.0654116 | + | 0.107673i | ||||
\(139\) | −6.58190 | − | 3.51810i | −0.558269 | − | 0.298401i | 0.168028 | − | 0.985782i | \(-0.446260\pi\) |
−0.726297 | + | 0.687381i | \(0.758760\pi\) | |||||||
\(140\) | −3.05154 | − | 1.30678i | −0.257902 | − | 0.110443i | ||||
\(141\) | 6.59475 | − | 0.649527i | 0.555379 | − | 0.0547000i | ||||
\(142\) | 3.11818 | + | 21.9196i | 0.261672 | + | 1.83945i | ||||
\(143\) | 2.64191 | + | 1.09431i | 0.220927 | + | 0.0915110i | ||||
\(144\) | 2.89499 | − | 2.76026i | 0.241249 | − | 0.230022i | ||||
\(145\) | −1.43103 | + | 0.592753i | −0.118841 | + | 0.0492254i | ||||
\(146\) | −3.84627 | − | 6.50464i | −0.318320 | − | 0.538328i | ||||
\(147\) | 4.84133 | + | 3.97318i | 0.399306 | + | 0.327702i | ||||
\(148\) | −0.510869 | + | 2.41747i | −0.0419932 | + | 0.198715i | ||||
\(149\) | −9.28237 | + | 2.81577i | −0.760441 | + | 0.230677i | −0.646608 | − | 0.762823i | \(-0.723813\pi\) |
−0.113833 | + | 0.993500i | \(0.536313\pi\) | |||||||
\(150\) | −1.05479 | − | 1.44007i | −0.0861236 | − | 0.117581i | ||||
\(151\) | 3.71798 | + | 18.6915i | 0.302565 | + | 1.52109i | 0.770562 | + | 0.637365i | \(0.219976\pi\) |
−0.467998 | + | 0.883730i | \(0.655024\pi\) | |||||||
\(152\) | 19.1078 | + | 9.45861i | 1.54984 | + | 0.767195i | ||||
\(153\) | −2.45538 | − | 0.488406i | −0.198506 | − | 0.0394853i | ||||
\(154\) | −1.37385 | − | 0.500820i | −0.110708 | − | 0.0403572i | ||||
\(155\) | 4.50259 | − | 3.69518i | 0.361657 | − | 0.296804i | ||||
\(156\) | 4.21419 | − | 2.18841i | 0.337405 | − | 0.175213i | ||||
\(157\) | 5.44340 | + | 10.1839i | 0.434430 | + | 0.812762i | 0.999928 | − | 0.0119877i | \(-0.00381589\pi\) |
−0.565498 | + | 0.824750i | \(0.691316\pi\) | |||||||
\(158\) | 5.14250 | + | 5.74223i | 0.409115 | + | 0.456827i | ||||
\(159\) | 1.53528 | + | 1.53528i | 0.121755 | + | 0.121755i | ||||
\(160\) | −7.58255 | + | 7.88124i | −0.599453 | + | 0.623067i | ||||
\(161\) | 0.635292 | − | 0.635292i | 0.0500681 | − | 0.0500681i | ||||
\(162\) | −1.41207 | − | 0.0778022i | −0.110943 | − | 0.00611272i | ||||
\(163\) | −11.4695 | + | 6.13055i | −0.898357 | + | 0.480182i | −0.854852 | − | 0.518871i | \(-0.826352\pi\) |
−0.0435049 | + | 0.999053i | \(0.513852\pi\) | |||||||
\(164\) | 14.3803 | + | 12.0911i | 1.12292 | + | 0.944155i | ||||
\(165\) | 1.47720 | + | 1.79997i | 0.115000 | + | 0.140127i | ||||
\(166\) | −5.00820 | − | 10.7542i | −0.388711 | − | 0.834685i | ||||
\(167\) | 1.88679 | − | 9.48552i | 0.146004 | − | 0.734012i | −0.836529 | − | 0.547923i | \(-0.815419\pi\) |
0.982533 | − | 0.186089i | \(-0.0595812\pi\) | |||||||
\(168\) | −2.10473 | + | 1.21096i | −0.162384 | + | 0.0934273i | ||||
\(169\) | −7.22139 | + | 1.43642i | −0.555492 | + | 0.110494i | ||||
\(170\) | 6.76472 | + | 1.04466i | 0.518830 | + | 0.0801216i | ||||
\(171\) | −2.18817 | − | 7.21342i | −0.167333 | − | 0.551624i | ||||
\(172\) | 8.13034 | − | 11.8597i | 0.619933 | − | 0.904293i | ||||
\(173\) | −3.32777 | + | 4.05490i | −0.253006 | + | 0.308288i | −0.883989 | − | 0.467508i | \(-0.845152\pi\) |
0.630983 | + | 0.775797i | \(0.282652\pi\) | |||||||
\(174\) | −0.281844 | + | 1.09742i | −0.0213665 | + | 0.0831950i | ||||
\(175\) | 0.414686 | + | 1.00114i | 0.0313473 | + | 0.0756792i | ||||
\(176\) | −3.14410 | + | 3.65022i | −0.236995 | + | 0.275146i | ||||
\(177\) | −1.91563 | + | 4.62475i | −0.143988 | + | 0.347617i | ||||
\(178\) | −0.963323 | − | 0.723380i | −0.0722041 | − | 0.0542196i | ||||
\(179\) | 1.24971 | + | 12.6886i | 0.0934080 | + | 0.948387i | 0.921652 | + | 0.388019i | \(0.126840\pi\) |
−0.828244 | + | 0.560368i | \(0.810660\pi\) | |||||||
\(180\) | 3.86639 | + | 0.0460499i | 0.288184 | + | 0.00343236i | ||||
\(181\) | 10.8003 | − | 20.2060i | 0.802781 | − | 1.50190i | −0.0610610 | − | 0.998134i | \(-0.519448\pi\) |
0.863842 | − | 0.503763i | \(-0.168052\pi\) | |||||||
\(182\) | −2.80037 | + | 0.683759i | −0.207577 | + | 0.0506836i | ||||
\(183\) | −2.35031 | + | 3.51749i | −0.173740 | + | 0.260020i | ||||
\(184\) | −1.21755 | − | 2.69797i | −0.0897591 | − | 0.198897i | ||||
\(185\) | −1.98597 | + | 1.32698i | −0.146011 | + | 0.0975616i | ||||
\(186\) | −0.183720 | − | 4.25678i | −0.0134710 | − | 0.312122i | ||||
\(187\) | 3.00070 | + | 0.295543i | 0.219433 | + | 0.0216122i | ||||
\(188\) | −6.38633 | + | 11.6132i | −0.465771 | + | 0.846977i | ||||
\(189\) | 0.821543 | + | 0.249212i | 0.0597585 | + | 0.0181275i | ||||
\(190\) | 6.82763 | + | 19.4462i | 0.495328 | + | 1.41078i | ||||
\(191\) | − | 14.4522i | − | 1.04573i | −0.852417 | − | 0.522863i | \(-0.824864\pi\) | ||
0.852417 | − | 0.522863i | \(-0.175136\pi\) | |||||||
\(192\) | 1.27944 | + | 7.89703i | 0.0923360 | + | 0.569919i | ||||
\(193\) | − | 8.31344i | − | 0.598414i | −0.954188 | − | 0.299207i | \(-0.903278\pi\) | ||
0.954188 | − | 0.299207i | \(-0.0967222\pi\) | |||||||
\(194\) | 20.7717 | − | 7.29302i | 1.49132 | − | 0.523608i | ||||
\(195\) | 4.39259 | + | 1.33248i | 0.314560 | + | 0.0954208i | ||||
\(196\) | −12.0290 | + | 3.49307i | −0.859215 | + | 0.249505i | ||||
\(197\) | −1.80037 | − | 0.177321i | −0.128271 | − | 0.0126336i | 0.0336777 | − | 0.999433i | \(-0.489278\pi\) |
−0.161949 | + | 0.986799i | \(0.551778\pi\) | |||||||
\(198\) | 1.70170 | − | 0.0734443i | 0.120935 | − | 0.00521946i | ||||
\(199\) | 1.95970 | − | 1.30943i | 0.138919 | − | 0.0928228i | −0.484169 | − | 0.874975i | \(-0.660878\pi\) |
0.623088 | + | 0.782152i | \(0.285878\pi\) | |||||||
\(200\) | 3.56835 | − | 0.111450i | 0.252321 | − | 0.00788072i | ||||
\(201\) | −2.17139 | + | 3.24972i | −0.153158 | + | 0.229218i | ||||
\(202\) | −1.64762 | − | 6.74789i | −0.115926 | − | 0.474780i | ||||
\(203\) | 0.324234 | − | 0.606600i | 0.0227568 | − | 0.0425749i | ||||
\(204\) | 3.58238 | − | 3.49805i | 0.250817 | − | 0.244913i | ||||
\(205\) | 1.78016 | + | 18.0743i | 0.124332 | + | 1.26236i | ||||
\(206\) | 7.50964 | − | 10.0006i | 0.523221 | − | 0.696772i | ||||
\(207\) | −0.400482 | + | 0.966849i | −0.0278354 | + | 0.0672006i | ||||
\(208\) | −1.15572 | + | 9.42648i | −0.0801344 | + | 0.653609i | ||||
\(209\) | 3.47431 | + | 8.38773i | 0.240323 | + | 0.580191i | ||||
\(210\) | −2.27351 | − | 0.583894i | −0.156887 | − | 0.0402925i | ||||
\(211\) | −17.3488 | + | 21.1395i | −1.19434 | + | 1.45531i | −0.336275 | + | 0.941764i | \(0.609167\pi\) |
−0.858064 | + | 0.513543i | \(0.828333\pi\) | |||||||
\(212\) | −4.26877 | + | 0.796382i | −0.293180 | + | 0.0546957i | ||||
\(213\) | 4.54456 | + | 14.9814i | 0.311388 | + | 1.02651i | ||||
\(214\) | 2.33205 | − | 15.1013i | 0.159416 | − | 1.03230i | ||||
\(215\) | 13.6326 | − | 2.71169i | 0.929735 | − | 0.184936i | ||||
\(216\) | 1.72521 | − | 2.24135i | 0.117385 | − | 0.152505i | ||||
\(217\) | −0.504605 | + | 2.53682i | −0.0342548 | + | 0.172211i | ||||
\(218\) | −6.32935 | + | 2.94757i | −0.428678 | + | 0.199634i | ||||
\(219\) | −3.38983 | − | 4.13052i | −0.229063 | − | 0.279114i | ||||
\(220\) | −4.63972 | + | 0.401241i | −0.312810 | + | 0.0270517i | ||||
\(221\) | 5.24209 | − | 2.80196i | 0.352621 | − | 0.188480i | ||||
\(222\) | −0.0961193 | + | 1.74452i | −0.00645111 | + | 0.117084i | ||||
\(223\) | −11.5721 | + | 11.5721i | −0.774928 | + | 0.774928i | −0.978963 | − | 0.204036i | \(-0.934594\pi\) |
0.204036 | + | 0.978963i | \(0.434594\pi\) | |||||||
\(224\) | 0.382593 | − | 4.84137i | 0.0255630 | − | 0.323478i | ||||
\(225\) | −0.892524 | − | 0.892524i | −0.0595016 | − | 0.0595016i | ||||
\(226\) | −13.6274 | + | 12.2041i | −0.906480 | + | 0.811806i | ||||
\(227\) | 1.52619 | + | 2.85531i | 0.101297 | + | 0.189513i | 0.927465 | − | 0.373911i | \(-0.121984\pi\) |
−0.826167 | + | 0.563425i | \(0.809484\pi\) | |||||||
\(228\) | 14.3737 | + | 4.54784i | 0.951921 | + | 0.301188i | ||||
\(229\) | 8.98251 | − | 7.37175i | 0.593581 | − | 0.487139i | −0.288982 | − | 0.957335i | \(-0.593317\pi\) |
0.882562 | + | 0.470196i | \(0.155817\pi\) | |||||||
\(230\) | 0.979973 | − | 2.68826i | 0.0646175 | − | 0.177259i | ||||
\(231\) | −1.01413 | − | 0.201722i | −0.0667246 | − | 0.0132724i | ||||
\(232\) | −1.49156 | − | 1.70596i | −0.0979256 | − | 0.112002i | ||||
\(233\) | 4.81874 | + | 24.2254i | 0.315686 | + | 1.58706i | 0.734254 | + | 0.678875i | \(0.237532\pi\) |
−0.418568 | + | 0.908186i | \(0.637468\pi\) | |||||||
\(234\) | 2.70881 | − | 1.98409i | 0.177080 | − | 0.129704i | ||||
\(235\) | −12.2599 | + | 3.71900i | −0.799747 | + | 0.242601i | ||||
\(236\) | −5.46260 | − | 8.38998i | −0.355585 | − | 0.546141i | ||||
\(237\) | 4.21338 | + | 3.45784i | 0.273689 | + | 0.224611i | ||||
\(238\) | −2.61635 | + | 1.54708i | −0.169593 | + | 0.100282i | ||||
\(239\) | −22.0976 | + | 9.15310i | −1.42937 | + | 0.592065i | −0.957196 | − | 0.289439i | \(-0.906531\pi\) |
−0.472175 | + | 0.881505i | \(0.656531\pi\) | |||||||
\(240\) | −4.44834 | + | 6.32588i | −0.287139 | + | 0.408334i | ||||
\(241\) | 10.8791 | + | 4.50628i | 0.700786 | + | 0.290275i | 0.704486 | − | 0.709718i | \(-0.251178\pi\) |
−0.00369982 | + | 0.999993i | \(0.501178\pi\) | |||||||
\(242\) | 13.3703 | − | 1.90200i | 0.859475 | − | 0.122265i | ||||
\(243\) | −0.995185 | + | 0.0980171i | −0.0638411 | + | 0.00628780i | ||||
\(244\) | −3.14452 | − | 7.85485i | −0.201307 | − | 0.502855i | ||||
\(245\) | −10.6787 | − | 5.70786i | −0.682234 | − | 0.364662i | ||||
\(246\) | 11.3541 | + | 6.89765i | 0.723914 | + | 0.439778i | ||||
\(247\) | 14.8810 | + | 9.94316i | 0.946855 | + | 0.632668i | ||||
\(248\) | 7.22970 | + | 4.51079i | 0.459086 | + | 0.286435i | ||||
\(249\) | −4.66041 | − | 6.97479i | −0.295341 | − | 0.442009i | ||||
\(250\) | 12.6177 | + | 11.5737i | 0.798016 | + | 0.731983i | ||||
\(251\) | 0.669459 | − | 6.79713i | 0.0422559 | − | 0.429031i | −0.950662 | − | 0.310229i | \(-0.899594\pi\) |
0.992918 | − | 0.118803i | \(-0.0379056\pi\) | |||||||
\(252\) | −1.34015 | + | 1.07338i | −0.0844217 | + | 0.0676167i | ||||
\(253\) | 0.365881 | − | 1.20615i | 0.0230028 | − | 0.0758299i | ||||
\(254\) | 10.8518 | − | 22.5950i | 0.680901 | − | 1.41774i | ||||
\(255\) | 4.84008 | 0.303098 | ||||||||
\(256\) | −14.4737 | − | 6.81992i | −0.904608 | − | 0.426245i | ||||
\(257\) | −9.48295 | −0.591530 | −0.295765 | − | 0.955261i | \(-0.595575\pi\) | ||||
−0.295765 | + | 0.955261i | \(0.595575\pi\) | |||||||
\(258\) | 4.40181 | − | 9.16523i | 0.274045 | − | 0.570602i | ||||
\(259\) | 0.307885 | − | 1.01496i | 0.0191310 | − | 0.0630666i | ||||
\(260\) | −7.16548 | + | 5.73911i | −0.444384 | + | 0.355925i | ||||
\(261\) | −0.0785288 | + | 0.797316i | −0.00486081 | + | 0.0493526i | ||||
\(262\) | −4.83020 | − | 4.43052i | −0.298411 | − | 0.273718i | ||||
\(263\) | −2.10764 | − | 3.15430i | −0.129963 | − | 0.194503i | 0.760781 | − | 0.649008i | \(-0.224816\pi\) |
−0.890744 | + | 0.454506i | \(0.849816\pi\) | |||||||
\(264\) | −1.80325 | + | 2.89016i | −0.110982 | + | 0.177877i | ||||
\(265\) | −3.49024 | − | 2.33210i | −0.214404 | − | 0.143260i | ||||
\(266\) | −7.82179 | − | 4.75174i | −0.479585 | − | 0.291348i | ||||
\(267\) | −0.751257 | − | 0.401555i | −0.0459762 | − | 0.0245748i | ||||
\(268\) | −2.90514 | − | 7.25690i | −0.177460 | − | 0.443286i | ||||
\(269\) | 21.9416 | − | 2.16106i | 1.33780 | − | 0.131762i | 0.596327 | − | 0.802742i | \(-0.296626\pi\) |
0.741476 | + | 0.670980i | \(0.234126\pi\) | |||||||
\(270\) | 2.70690 | − | 0.385070i | 0.164736 | − | 0.0234346i | ||||
\(271\) | −25.5722 | − | 10.5924i | −1.55340 | − | 0.643440i | −0.569475 | − | 0.822009i | \(-0.692854\pi\) |
−0.983928 | + | 0.178568i | \(0.942854\pi\) | |||||||
\(272\) | 1.71915 | + | 9.86528i | 0.104239 | + | 0.598171i | ||||
\(273\) | −1.88317 | + | 0.780035i | −0.113975 | + | 0.0472099i | ||||
\(274\) | 26.1288 | − | 15.4502i | 1.57850 | − | 0.933383i | ||||
\(275\) | 1.17515 | + | 0.964419i | 0.0708641 | + | 0.0581567i | ||||
\(276\) | −1.14201 | − | 1.75401i | −0.0687410 | − | 0.105579i | ||||
\(277\) | 26.7157 | − | 8.10412i | 1.60519 | − | 0.486930i | 0.644513 | − | 0.764593i | \(-0.277060\pi\) |
0.960678 | + | 0.277664i | \(0.0895601\pi\) | |||||||
\(278\) | 8.51471 | − | 6.23669i | 0.510679 | − | 0.374052i | ||||
\(279\) | −0.587768 | − | 2.95491i | −0.0351888 | − | 0.176906i | ||||
\(280\) | 3.53422 | − | 3.09005i | 0.211210 | − | 0.184666i | ||||
\(281\) | 9.01383 | + | 1.79296i | 0.537720 | + | 0.106959i | 0.456477 | − | 0.889735i | \(-0.349111\pi\) |
0.0812429 | + | 0.996694i | \(0.474111\pi\) | |||||||
\(282\) | −3.20966 | + | 8.80474i | −0.191132 | + | 0.524315i | ||||
\(283\) | 6.03263 | − | 4.95085i | 0.358603 | − | 0.294298i | −0.437790 | − | 0.899077i | \(-0.644239\pi\) |
0.796393 | + | 0.604779i | \(0.206739\pi\) | |||||||
\(284\) | −29.8525 | − | 9.44532i | −1.77142 | − | 0.560477i | ||||
\(285\) | 6.86989 | + | 12.8527i | 0.406937 | + | 0.761326i | ||||
\(286\) | −3.01257 | + | 2.69793i | −0.178137 | + | 0.159532i | ||||
\(287\) | −5.70270 | − | 5.70270i | −0.336620 | − | 0.336620i | ||||
\(288\) | 1.74633 | + | 5.38055i | 0.102904 | + | 0.317052i | ||||
\(289\) | −7.58906 | + | 7.58906i | −0.446415 | + | 0.446415i | ||||
\(290\) | 0.120511 | − | 2.18721i | 0.00707663 | − | 0.128437i | ||||
\(291\) | 13.7287 | − | 7.33816i | 0.804793 | − | 0.430171i | ||||
\(292\) | 10.6471 | − | 0.920757i | 0.623074 | − | 0.0538832i | ||||
\(293\) | −2.57738 | − | 3.14055i | −0.150572 | − | 0.183473i | 0.692262 | − | 0.721647i | \(-0.256614\pi\) |
−0.842834 | + | 0.538174i | \(0.819114\pi\) | |||||||
\(294\) | −8.02919 | + | 3.73918i | −0.468272 | + | 0.218073i | ||||
\(295\) | 1.88806 | − | 9.49191i | 0.109927 | − | 0.552640i | ||||
\(296\) | −2.76904 | − | 2.13138i | −0.160947 | − | 0.123884i | ||||
\(297\) | 1.18126 | − | 0.234968i | 0.0685438 | − | 0.0136342i | ||||
\(298\) | 2.09361 | − | 13.5572i | 0.121279 | − | 0.785350i | ||||
\(299\) | −0.721268 | − | 2.37770i | −0.0417120 | − | 0.137506i | ||||
\(300\) | 2.48162 | − | 0.462971i | 0.143276 | − | 0.0267297i | ||||
\(301\) | −3.91563 | + | 4.77121i | −0.225693 | + | 0.275008i | ||||
\(302\) | −26.1045 | − | 6.70429i | −1.50215 | − | 0.385789i | ||||
\(303\) | −1.87961 | − | 4.53777i | −0.107981 | − | 0.260688i | ||||
\(304\) | −23.7568 | + | 18.5677i | −1.36255 | + | 1.06493i | ||||
\(305\) | 3.12992 | − | 7.55629i | 0.179218 | − | 0.432672i | ||||
\(306\) | 2.12595 | − | 2.83112i | 0.121532 | − | 0.161844i | ||||
\(307\) | −1.16290 | − | 11.8071i | −0.0663704 | − | 0.673870i | −0.969597 | − | 0.244706i | \(-0.921308\pi\) |
0.903227 | − | 0.429163i | \(-0.141192\pi\) | |||||||
\(308\) | 1.47960 | − | 1.44477i | 0.0843080 | − | 0.0823234i | ||||
\(309\) | 4.16868 | − | 7.79904i | 0.237148 | − | 0.443672i | ||||
\(310\) | 1.95392 | + | 8.00235i | 0.110975 | + | 0.454503i | ||||
\(311\) | 3.08544 | − | 4.61769i | 0.174959 | − | 0.261845i | −0.733618 | − | 0.679562i | \(-0.762170\pi\) |
0.908577 | + | 0.417717i | \(0.137170\pi\) | |||||||
\(312\) | 0.209640 | + | 6.71216i | 0.0118686 | + | 0.380001i | ||||
\(313\) | 9.28404 | − | 6.20339i | 0.524765 | − | 0.350637i | −0.264801 | − | 0.964303i | \(-0.585306\pi\) |
0.789565 | + | 0.613667i | \(0.210306\pi\) | |||||||
\(314\) | −16.3153 | + | 0.704156i | −0.920724 | + | 0.0397378i | ||||
\(315\) | −1.65179 | − | 0.162688i | −0.0930681 | − | 0.00916641i | ||||
\(316\) | −10.4688 | + | 3.04000i | −0.588915 | + | 0.171013i | ||||
\(317\) | −29.8999 | − | 9.07003i | −1.67934 | − | 0.509424i | −0.700435 | − | 0.713716i | \(-0.747011\pi\) |
−0.978910 | + | 0.204293i | \(0.934511\pi\) | |||||||
\(318\) | −2.89717 | + | 1.01720i | −0.162465 | + | 0.0570420i | ||||
\(319\) | − | 0.964938i | − | 0.0540262i | ||||||
\(320\) | −5.40462 | − | 14.4917i | −0.302128 | − | 0.810108i | ||||
\(321\) | − | 10.8048i | − | 0.603065i | ||||||
\(322\) | 0.420916 | + | 1.19884i | 0.0234567 | + | 0.0668087i | ||||
\(323\) | 18.0587 | + | 5.47805i | 1.00481 | + | 0.304807i | ||||
\(324\) | 0.963733 | − | 1.75249i | 0.0535407 | − | 0.0973605i | ||||
\(325\) | 2.98241 | + | 0.293742i | 0.165434 | + | 0.0162939i | ||||
\(326\) | −0.793046 | − | 18.3749i | −0.0439227 | − | 1.01769i | ||||
\(327\) | −4.10500 | + | 2.74287i | −0.227007 | + | 0.151681i | ||||
\(328\) | −24.2183 | + | 10.9293i | −1.33723 | + | 0.603472i | ||||
\(329\) | 3.16067 | − | 4.73028i | 0.174253 | − | 0.260789i | ||||
\(330\) | −3.19904 | + | 0.781103i | −0.176101 | + | 0.0429983i | ||||
\(331\) | 10.0571 | − | 18.8155i | 0.552788 | − | 1.03419i | −0.438026 | − | 0.898962i | \(-0.644322\pi\) |
0.990814 | − | 0.135232i | \(-0.0431779\pi\) | |||||||
\(332\) | 16.7758 | + | 0.199805i | 0.920693 | + | 0.0109657i | ||||
\(333\) | 0.121094 | + | 1.22948i | 0.00663588 | + | 0.0673753i | ||||
\(334\) | 10.9370 | + | 8.21287i | 0.598449 | + | 0.449388i | ||||
\(335\) | 2.89165 | − | 6.98107i | 0.157988 | − | 0.381416i | ||||
\(336\) | −0.255104 | − | 3.42455i | −0.0139171 | − | 0.186825i | ||||
\(337\) | −11.1873 | − | 27.0084i | −0.609409 | − | 1.47124i | −0.863645 | − | 0.504101i | \(-0.831824\pi\) |
0.254236 | − | 0.967142i | \(-0.418176\pi\) | |||||||
\(338\) | 2.59017 | − | 10.0854i | 0.140887 | − | 0.548572i | ||||
\(339\) | −8.20609 | + | 9.99915i | −0.445694 | + | 0.543079i | ||||
\(340\) | −5.47348 | + | 7.98414i | −0.296841 | + | 0.433001i | ||||
\(341\) | 1.05334 | + | 3.47239i | 0.0570414 | + | 0.188040i | ||||
\(342\) | 10.5355 | + | 1.62696i | 0.569693 | + | 0.0879761i | ||||
\(343\) | 11.1676 | − | 2.22137i | 0.602994 | − | 0.119943i | ||||
\(344\) | 10.1410 | + | 17.6258i | 0.546766 | + | 0.950320i | ||||
\(345\) | 0.394717 | − | 1.98438i | 0.0212509 | − | 0.106835i | ||||
\(346\) | −3.13178 | − | 6.72491i | −0.168366 | − | 0.361534i | ||||
\(347\) | −0.885524 | − | 1.07901i | −0.0475374 | − | 0.0579245i | 0.748699 | − | 0.662910i | \(-0.230679\pi\) |
−0.796236 | + | 0.604986i | \(0.793179\pi\) | |||||||
\(348\) | −1.22644 | − | 1.03120i | −0.0657440 | − | 0.0552780i | ||||
\(349\) | 15.4992 | − | 8.28449i | 0.829653 | − | 0.443459i | −0.00116777 | − | 0.999999i | \(-0.500372\pi\) |
0.830820 | + | 0.556541i | \(0.187872\pi\) | |||||||
\(350\) | −1.53016 | − | 0.0843086i | −0.0817905 | − | 0.00450649i | ||||
\(351\) | 1.67886 | − | 1.67886i | 0.0896109 | − | 0.0896109i | ||||
\(352\) | −2.72835 | − | 6.24300i | −0.145422 | − | 0.332753i | ||||
\(353\) | 22.1434 | + | 22.1434i | 1.17858 | + | 1.17858i | 0.980107 | + | 0.198468i | \(0.0635965\pi\) |
0.198468 | + | 0.980107i | \(0.436404\pi\) | |||||||
\(354\) | −4.72282 | − | 5.27360i | −0.251015 | − | 0.280289i | ||||
\(355\) | −14.2679 | − | 26.6934i | −0.757264 | − | 1.41674i | ||||
\(356\) | 1.51197 | − | 0.785160i | 0.0801344 | − | 0.0416134i | ||||
\(357\) | −1.66141 | + | 1.36348i | −0.0879310 | + | 0.0721631i | ||||
\(358\) | −16.9406 | − | 6.17550i | −0.895341 | − | 0.326385i | ||||
\(359\) | −8.13745 | − | 1.61864i | −0.429478 | − | 0.0854285i | −0.0243822 | − | 0.999703i | \(-0.507762\pi\) |
−0.405096 | + | 0.914274i | \(0.632762\pi\) | |||||||
\(360\) | −2.42593 | + | 4.90073i | −0.127858 | + | 0.258291i | ||||
\(361\) | 7.37861 | + | 37.0948i | 0.388348 | + | 1.95236i | ||||
\(362\) | 19.1462 | + | 26.1396i | 1.00630 | + | 1.37387i | ||||
\(363\) | 9.13821 | − | 2.77205i | 0.479632 | − | 0.145495i | ||||
\(364\) | 0.842879 | − | 3.98857i | 0.0441788 | − | 0.209058i | ||||
\(365\) | 7.98567 | + | 6.55367i | 0.417989 | + | 0.343035i | ||||
\(366\) | −3.04514 | − | 5.14980i | −0.159172 | − | 0.269185i | ||||
\(367\) | −21.2161 | + | 8.78798i | −1.10747 | + | 0.458729i | −0.860066 | − | 0.510183i | \(-0.829578\pi\) |
−0.247404 | + | 0.968912i | \(0.579578\pi\) | |||||||
\(368\) | 4.18485 | + | 0.0996998i | 0.218150 | + | 0.00519721i | ||||
\(369\) | 8.67892 | + | 3.59492i | 0.451806 | + | 0.187144i | ||||
\(370\) | −0.475728 | − | 3.34419i | −0.0247319 | − | 0.173856i | ||||
\(371\) | 1.85503 | − | 0.182705i | 0.0963084 | − | 0.00948555i | ||||
\(372\) | 5.53907 | + | 2.37203i | 0.287188 | + | 0.122984i | ||||
\(373\) | −5.64765 | − | 3.01873i | −0.292424 | − | 0.156304i | 0.318661 | − | 0.947869i | \(-0.396767\pi\) |
−0.611085 | + | 0.791565i | \(0.709267\pi\) | |||||||
\(374\) | −2.21396 | + | 3.64437i | −0.114481 | + | 0.188446i | ||||
\(375\) | 10.0666 | + | 6.72627i | 0.519835 | + | 0.347343i | ||||
\(376\) | −10.8945 | − | 15.2516i | −0.561841 | − | 0.786541i | ||||
\(377\) | −1.05681 | − | 1.58162i | −0.0544283 | − | 0.0814576i | ||||
\(378\) | −0.820693 | + | 0.894730i | −0.0422119 | + | 0.0460199i | ||||
\(379\) | −0.646335 | + | 6.56234i | −0.0332000 | + | 0.337085i | 0.964209 | + | 0.265144i | \(0.0854194\pi\) |
−0.997409 | + | 0.0719413i | \(0.977081\pi\) | |||||||
\(380\) | −28.9705 | − | 3.20215i | −1.48616 | − | 0.164267i | ||||
\(381\) | 5.14507 | − | 16.9610i | 0.263590 | − | 0.868940i | ||||
\(382\) | 18.4238 | + | 8.84846i | 0.942645 | + | 0.452726i | ||||
\(383\) | −20.4199 | −1.04341 | −0.521704 | − | 0.853127i | \(-0.674703\pi\) | ||||
−0.521704 | + | 0.853127i | \(0.674703\pi\) | |||||||
\(384\) | −10.8506 | − | 3.20395i | −0.553715 | − | 0.163501i | ||||
\(385\) | 1.99906 | 0.101881 | ||||||||
\(386\) | 10.5981 | + | 5.08995i | 0.539427 | + | 0.259072i | ||||
\(387\) | 2.08700 | − | 6.87991i | 0.106088 | − | 0.349725i | ||||
\(388\) | −3.42042 | + | 30.9452i | −0.173645 | + | 1.57101i | ||||
\(389\) | −0.101027 | + | 1.02575i | −0.00512228 | + | 0.0520074i | −0.997406 | − | 0.0719800i | \(-0.977068\pi\) |
0.992284 | + | 0.123987i | \(0.0395682\pi\) | |||||||
\(390\) | −4.38805 | + | 4.78391i | −0.222198 | + | 0.242242i | ||||
\(391\) | −1.45555 | − | 2.17839i | −0.0736104 | − | 0.110166i | ||||
\(392\) | 2.91183 | − | 17.4734i | 0.147070 | − | 0.882538i | ||||
\(393\) | −3.85359 | − | 2.57488i | −0.194388 | − | 0.129886i | ||||
\(394\) | 1.32834 | − | 2.18657i | 0.0669209 | − | 0.110158i | ||||
\(395\) | −9.29357 | − | 4.96752i | −0.467610 | − | 0.249943i | ||||
\(396\) | −0.948251 | + | 2.21431i | −0.0476514 | + | 0.111274i | ||||
\(397\) | −3.28254 | + | 0.323302i | −0.164746 | + | 0.0162260i | −0.180054 | − | 0.983657i | \(-0.557627\pi\) |
0.0153079 | + | 0.999883i | \(0.495127\pi\) | |||||||
\(398\) | 0.469435 | + | 3.29995i | 0.0235307 | + | 0.165411i | ||||
\(399\) | −5.97884 | − | 2.47652i | −0.299316 | − | 0.123981i | ||||
\(400\) | −2.04267 | + | 4.61721i | −0.102133 | + | 0.230861i | ||||
\(401\) | 32.1087 | − | 13.2999i | 1.60343 | − | 0.664163i | 0.611535 | − | 0.791217i | \(-0.290552\pi\) |
0.991896 | + | 0.127054i | \(0.0405523\pi\) | |||||||
\(402\) | −2.81333 | − | 4.75778i | −0.140316 | − | 0.237296i | ||||
\(403\) | 5.52949 | + | 4.53793i | 0.275443 | + | 0.226051i | ||||
\(404\) | 9.61104 | + | 2.03104i | 0.478167 | + | 0.101048i | ||||
\(405\) | 1.85009 | − | 0.561217i | 0.0919315 | − | 0.0278871i | ||||
\(406\) | 0.574785 | + | 0.784732i | 0.0285261 | + | 0.0389456i | ||||
\(407\) | −0.290287 | − | 1.45937i | −0.0143890 | − | 0.0723383i | ||||
\(408\) | 2.26602 | + | 6.70856i | 0.112185 | + | 0.332123i | ||||
\(409\) | 18.1535 | + | 3.61096i | 0.897633 | + | 0.178550i | 0.622282 | − | 0.782793i | \(-0.286206\pi\) |
0.275351 | + | 0.961344i | \(0.411206\pi\) | |||||||
\(410\) | −24.1312 | − | 8.79672i | −1.19175 | − | 0.434439i | ||||
\(411\) | 16.5920 | − | 13.6167i | 0.818425 | − | 0.671664i | ||||
\(412\) | 8.15099 | + | 15.6963i | 0.401571 | + | 0.773300i | ||||
\(413\) | 2.02584 | + | 3.79008i | 0.0996849 | + | 0.186497i | ||||
\(414\) | −0.987352 | − | 1.10250i | −0.0485257 | − | 0.0541848i | ||||
\(415\) | 11.4677 | + | 11.4677i | 0.562928 | + | 0.562928i | ||||
\(416\) | −11.3094 | − | 7.24474i | −0.554488 | − | 0.355203i | ||||
\(417\) | 5.27723 | − | 5.27723i | 0.258427 | − | 0.258427i | ||||
\(418\) | −12.8199 | − | 0.706352i | −0.627043 | − | 0.0345488i | ||||
\(419\) | −32.9031 | + | 17.5871i | −1.60742 | + | 0.859185i | −0.609636 | + | 0.792681i | \(0.708684\pi\) |
−0.997786 | + | 0.0665039i | \(0.978816\pi\) | |||||||
\(420\) | 2.13633 | − | 2.54080i | 0.104242 | − | 0.123978i | ||||
\(421\) | −16.9760 | − | 20.6853i | −0.827358 | − | 1.00814i | −0.999733 | − | 0.0231068i | \(-0.992644\pi\) |
0.172375 | − | 0.985031i | \(-0.444856\pi\) | |||||||
\(422\) | −16.3270 | − | 35.0592i | −0.794787 | − | 1.70666i | ||||
\(423\) | −1.29280 | + | 6.49933i | −0.0628580 | + | 0.316008i | ||||
\(424\) | 1.59835 | − | 5.92946i | 0.0776225 | − | 0.287960i | ||||
\(425\) | 3.09923 | − | 0.616476i | 0.150335 | − | 0.0299035i | ||||
\(426\) | −21.8809 | − | 3.37901i | −1.06013 | − | 0.163714i | ||||
\(427\) | 1.05428 | + | 3.47549i | 0.0510201 | + | 0.168191i | ||||
\(428\) | 17.8235 | + | 12.2188i | 0.861530 | + | 0.590617i | ||||
\(429\) | −1.81410 | + | 2.21048i | −0.0875854 | + | 0.106723i | ||||
\(430\) | −4.88975 | + | 19.0392i | −0.235805 | + | 0.918153i | ||||
\(431\) | 7.97273 | + | 19.2479i | 0.384033 | + | 0.927138i | 0.991177 | + | 0.132546i | \(0.0423151\pi\) |
−0.607144 | + | 0.794592i | \(0.707685\pi\) | |||||||
\(432\) | 1.80103 | + | 3.57159i | 0.0866522 | + | 0.171838i | ||||
\(433\) | −6.06950 | + | 14.6531i | −0.291682 | + | 0.704182i | −0.999999 | − | 0.00171277i | \(-0.999455\pi\) |
0.708317 | + | 0.705895i | \(0.249455\pi\) | |||||||
\(434\) | −2.92502 | − | 2.19646i | −0.140405 | − | 0.105433i | ||||
\(435\) | −0.151822 | − | 1.54148i | −0.00727933 | − | 0.0739083i | ||||
\(436\) | 0.117595 | − | 9.87339i | 0.00563178 | − | 0.472850i | ||||
\(437\) | 3.71866 | − | 6.95712i | 0.177888 | − | 0.332804i | ||||
\(438\) | 7.34107 | − | 1.79245i | 0.350770 | − | 0.0856467i | ||||
\(439\) | 16.8952 | − | 25.2855i | 0.806364 | − | 1.20681i | −0.168871 | − | 0.985638i | \(-0.554012\pi\) |
0.975235 | − | 0.221171i | \(-0.0709879\pi\) | |||||||
\(440\) | 2.32919 | − | 6.16043i | 0.111040 | − | 0.293687i | ||||
\(441\) | −5.20746 | + | 3.47951i | −0.247974 | + | 0.165691i | ||||
\(442\) | 0.362460 | + | 8.39819i | 0.0172405 | + | 0.399461i | ||||
\(443\) | 13.6317 | + | 1.34260i | 0.647661 | + | 0.0637891i | 0.416513 | − | 0.909130i | \(-0.363252\pi\) |
0.231148 | + | 0.972919i | \(0.425752\pi\) | |||||||
\(444\) | −2.16508 | − | 1.19063i | −0.102750 | − | 0.0565046i | ||||
\(445\) | 1.57598 | + | 0.478068i | 0.0747086 | + | 0.0226626i | ||||
\(446\) | −7.66717 | − | 21.8374i | −0.363051 | − | 1.03403i | ||||
\(447\) | − | 9.70005i | − | 0.458796i | ||||||
\(448\) | 5.93759 | + | 3.45189i | 0.280525 | + | 0.163087i | ||||
\(449\) | 8.05576i | 0.380175i | 0.981767 | + | 0.190087i | \(0.0608771\pi\) | ||||
−0.981767 | + | 0.190087i | \(0.939123\pi\) | |||||||
\(450\) | 1.68425 | − | 0.591345i | 0.0793964 | − | 0.0278763i | ||||
\(451\) | −10.8270 | − | 3.28433i | −0.509823 | − | 0.154653i | ||||
\(452\) | −7.21449 | − | 24.8444i | −0.339341 | − | 1.16858i | ||||
\(453\) | −18.9659 | − | 1.86798i | −0.891098 | − | 0.0877655i | ||||
\(454\) | −4.57440 | + | 0.197428i | −0.214687 | + | 0.00926574i | ||||
\(455\) | 3.27663 | − | 2.18938i | 0.153611 | − | 0.102640i | ||||
\(456\) | −14.5980 | + | 15.5393i | −0.683615 | + | 0.727694i | ||||
\(457\) | 3.65779 | − | 5.47427i | 0.171104 | − | 0.256076i | −0.736000 | − | 0.676981i | \(-0.763288\pi\) |
0.907104 | + | 0.420906i | \(0.138288\pi\) | |||||||
\(458\) | 3.89799 | + | 15.9644i | 0.182141 | + | 0.745967i | ||||
\(459\) | 1.18014 | − | 2.20788i | 0.0550840 | − | 0.103055i | ||||
\(460\) | 2.82703 | + | 2.89519i | 0.131811 | + | 0.134989i | ||||
\(461\) | 3.69830 | + | 37.5494i | 0.172247 | + | 1.74885i | 0.561279 | + | 0.827627i | \(0.310310\pi\) |
−0.389032 | + | 0.921224i | \(0.627190\pi\) | |||||||
\(462\) | 0.878063 | − | 1.16931i | 0.0408512 | − | 0.0544014i | ||||
\(463\) | −8.15250 | + | 19.6819i | −0.378879 | + | 0.914695i | 0.613297 | + | 0.789852i | \(0.289843\pi\) |
−0.992177 | + | 0.124843i | \(0.960157\pi\) | |||||||
\(464\) | 3.08799 | − | 0.856970i | 0.143356 | − | 0.0397838i | ||||
\(465\) | 2.22904 | + | 5.38137i | 0.103369 | + | 0.249555i | ||||
\(466\) | −33.8331 | − | 8.68920i | −1.56729 | − | 0.402519i | ||||
\(467\) | −12.7731 | + | 15.5641i | −0.591070 | + | 0.720221i | −0.979542 | − | 0.201240i | \(-0.935503\pi\) |
0.388472 | + | 0.921460i | \(0.373003\pi\) | |||||||
\(468\) | 0.870861 | + | 4.66799i | 0.0402556 | + | 0.215778i | ||||
\(469\) | 0.974023 | + | 3.21092i | 0.0449762 | + | 0.148267i | ||||
\(470\) | 2.76518 | − | 17.9060i | 0.127548 | − | 0.825943i | ||||
\(471\) | −11.3255 | + | 2.25278i | −0.521852 | + | 0.103803i | ||||
\(472\) | 14.0401 | − | 1.82697i | 0.646250 | − | 0.0840930i | ||||
\(473\) | −1.68930 | + | 8.49267i | −0.0776740 | + | 0.390493i | ||||
\(474\) | −6.98776 | + | 3.25419i | −0.320958 | + | 0.149470i | ||||
\(475\) | 6.03600 | + | 7.35489i | 0.276951 | + | 0.337466i | ||||
\(476\) | −0.370354 | − | 4.28256i | −0.0169751 | − | 0.196291i | ||||
\(477\) | −1.91484 | + | 1.02350i | −0.0876744 | + | 0.0468629i | ||||
\(478\) | 1.86089 | − | 33.7742i | 0.0851151 | − | 1.54480i | ||||
\(479\) | 30.3688 | − | 30.3688i | 1.38758 | − | 1.38758i | 0.557219 | − | 0.830366i | \(-0.311869\pi\) |
0.830366 | − | 0.557219i | \(-0.188131\pi\) | |||||||
\(480\) | −5.34078 | − | 9.54385i | −0.243772 | − | 0.435615i | ||||
\(481\) | −2.07412 | − | 2.07412i | −0.0945716 | − | 0.0945716i | ||||
\(482\) | −12.4055 | + | 11.1098i | −0.565054 | + | 0.506039i | ||||
\(483\) | 0.423521 | + | 0.792353i | 0.0192709 | + | 0.0360533i | ||||
\(484\) | −5.76136 | + | 18.2091i | −0.261880 | + | 0.827687i | ||||
\(485\) | −23.2645 | + | 19.0926i | −1.05638 | + | 0.866953i | ||||
\(486\) | 0.484355 | − | 1.32868i | 0.0219708 | − | 0.0602703i | ||||
\(487\) | −3.66012 | − | 0.728043i | −0.165856 | − | 0.0329908i | 0.111464 | − | 0.993768i | \(-0.464446\pi\) |
−0.277320 | + | 0.960778i | \(0.589446\pi\) | |||||||
\(488\) | 11.9387 | + | 0.800516i | 0.540440 | + | 0.0362377i | ||||
\(489\) | −2.53717 | − | 12.7552i | −0.114735 | − | 0.576810i | ||||
\(490\) | 13.8145 | − | 10.1186i | 0.624076 | − | 0.457111i | ||||
\(491\) | −20.4660 | + | 6.20828i | −0.923616 | + | 0.280176i | −0.716053 | − | 0.698046i | \(-0.754053\pi\) |
−0.207563 | + | 0.978222i | \(0.566553\pi\) | |||||||
\(492\) | −15.7448 | + | 10.2513i | −0.709832 | + | 0.462162i | ||||
\(493\) | −1.55045 | − | 1.27242i | −0.0698288 | − | 0.0573070i | ||||
\(494\) | −21.7866 | + | 12.8827i | −0.980227 | + | 0.579619i | ||||
\(495\) | −2.15127 | + | 0.891085i | −0.0966924 | + | 0.0400513i | ||||
\(496\) | −10.1768 | + | 6.45474i | −0.456953 | + | 0.289826i | ||||
\(497\) | 12.4173 | + | 5.14343i | 0.556994 | + | 0.230714i | ||||
\(498\) | 11.7449 | − | 1.67078i | 0.526302 | − | 0.0748692i | ||||
\(499\) | −1.02227 | + | 0.100685i | −0.0457632 | + | 0.00450729i | −0.120873 | − | 0.992668i | \(-0.538569\pi\) |
0.0751096 | + | 0.997175i | \(0.476069\pi\) | |||||||
\(500\) | −22.4795 | + | 8.99919i | −1.00531 | + | 0.402456i | ||||
\(501\) | 8.52937 | + | 4.55904i | 0.381064 | + | 0.203683i | ||||
\(502\) | 8.25518 | + | 5.01502i | 0.368447 | + | 0.223831i | ||||
\(503\) | 12.9873 | + | 8.67786i | 0.579077 | + | 0.386927i | 0.810336 | − | 0.585966i | \(-0.199285\pi\) |
−0.231259 | + | 0.972892i | \(0.574285\pi\) | |||||||
\(504\) | −0.547841 | − | 2.36563i | −0.0244028 | − | 0.105373i | ||||
\(505\) | 5.27562 | + | 7.89552i | 0.234762 | + | 0.351346i | ||||
\(506\) | 1.31360 | + | 1.20490i | 0.0583966 | + | 0.0535644i | ||||
\(507\) | 0.721687 | − | 7.32741i | 0.0320512 | − | 0.325422i | ||||
\(508\) | 22.1603 | + | 27.6679i | 0.983206 | + | 1.22757i | ||||
\(509\) | 3.89781 | − | 12.8493i | 0.172767 | − | 0.569537i | −0.827204 | − | 0.561902i | \(-0.810070\pi\) |
0.999971 | − | 0.00763496i | \(-0.00243031\pi\) | |||||||
\(510\) | −2.96337 | + | 6.17018i | −0.131220 | + | 0.273220i | ||||
\(511\) | −4.58738 | −0.202934 | ||||||||
\(512\) | 17.5557 | − | 14.2757i | 0.775861 | − | 0.630903i | ||||
\(513\) | 7.53800 | 0.332811 | ||||||||
\(514\) | 5.80600 | − | 12.0890i | 0.256092 | − | 0.533221i | ||||
\(515\) | −4.96298 | + | 16.3608i | −0.218695 | + | 0.720941i | ||||
\(516\) | 8.98890 | + | 11.2229i | 0.395714 | + | 0.494062i | ||||
\(517\) | 0.782293 | − | 7.94276i | 0.0344052 | − | 0.349322i | ||||
\(518\) | 1.10538 | + | 1.01391i | 0.0485675 | + | 0.0445487i | ||||
\(519\) | −2.91430 | − | 4.36155i | −0.127923 | − | 0.191451i | ||||
\(520\) | −2.92918 | − | 12.6484i | −0.128453 | − | 0.554671i | ||||
\(521\) | 16.3814 | + | 10.9457i | 0.717682 | + | 0.479540i | 0.860008 | − | 0.510280i | \(-0.170458\pi\) |
−0.142326 | + | 0.989820i | \(0.545458\pi\) | |||||||
\(522\) | −0.968348 | − | 0.588271i | −0.0423834 | − | 0.0257479i | ||||
\(523\) | −15.4884 | − | 8.27873i | −0.677261 | − | 0.362003i | 0.0966319 | − | 0.995320i | \(-0.469193\pi\) |
−0.773893 | + | 0.633317i | \(0.781693\pi\) | |||||||
\(524\) | 8.60539 | − | 3.44498i | 0.375928 | − | 0.150495i | ||||
\(525\) | −1.07841 | + | 0.106214i | −0.0470657 | + | 0.00463556i | ||||
\(526\) | 5.31156 | − | 0.755597i | 0.231595 | − | 0.0329456i | ||||
\(527\) | 6.96837 | + | 2.88639i | 0.303547 | + | 0.125733i | ||||
\(528\) | −2.58036 | − | 4.06832i | −0.112296 | − | 0.177051i | ||||
\(529\) | 20.2374 | − | 8.38261i | 0.879887 | − | 0.364461i | ||||
\(530\) | 5.10991 | − | 3.02155i | 0.221960 | − | 0.131248i | ||||
\(531\) | −3.86953 | − | 3.17564i | −0.167923 | − | 0.137811i | ||||
\(532\) | 10.8465 | − | 7.06202i | 0.470256 | − | 0.306177i | ||||
\(533\) | −21.3434 | + | 6.47446i | −0.924487 | + | 0.280440i | ||||
\(534\) | 0.971869 | − | 0.711856i | 0.0420569 | − | 0.0308050i | ||||
\(535\) | 4.07530 | + | 20.4879i | 0.176190 | + | 0.885769i | ||||
\(536\) | 11.0299 | + | 0.739577i | 0.476418 | + | 0.0319449i | ||||
\(537\) | −12.5050 | − | 2.48739i | −0.539629 | − | 0.107339i | ||||
\(538\) | −10.6789 | + | 29.2945i | −0.460402 | + | 1.26298i | ||||
\(539\) | 5.83093 | − | 4.78532i | 0.251156 | − | 0.206118i | ||||
\(540\) | −1.16642 | + | 3.68654i | −0.0501948 | + | 0.158643i | ||||
\(541\) | 2.88580 | + | 5.39896i | 0.124070 | + | 0.232119i | 0.936286 | − | 0.351237i | \(-0.114239\pi\) |
−0.812216 | + | 0.583357i | \(0.801739\pi\) | |||||||
\(542\) | 29.1600 | − | 26.1145i | 1.25253 | − | 1.12171i | ||||
\(543\) | 16.2007 | + | 16.2007i | 0.695240 | + | 0.695240i | ||||
\(544\) | −13.6289 | − | 3.84849i | −0.584335 | − | 0.165003i | ||||
\(545\) | 6.74930 | − | 6.74930i | 0.289108 | − | 0.289108i | ||||
\(546\) | 0.158587 | − | 2.87827i | 0.00678688 | − | 0.123179i | ||||
\(547\) | 35.0379 | − | 18.7282i | 1.49811 | − | 0.800759i | 0.500238 | − | 0.865888i | \(-0.333246\pi\) |
0.997877 | + | 0.0651292i | \(0.0207460\pi\) | |||||||
\(548\) | 3.69862 | + | 42.7687i | 0.157997 | + | 1.82699i | ||||
\(549\) | −2.68377 | − | 3.27018i | −0.114540 | − | 0.139568i | ||||
\(550\) | −1.94894 | + | 0.907620i | −0.0831033 | + | 0.0387010i | ||||
\(551\) | 1.17820 | − | 5.92321i | 0.0501930 | − | 0.252337i | ||||
\(552\) | 2.93523 | − | 0.381946i | 0.124932 | − | 0.0162567i | ||||
\(553\) | 4.58950 | − | 0.912908i | 0.195165 | − | 0.0388208i | ||||
\(554\) | −6.02564 | + | 39.0193i | −0.256005 | + | 1.65777i | ||||
\(555\) | −0.693346 | − | 2.28566i | −0.0294309 | − | 0.0970207i | ||||
\(556\) | 2.73742 | + | 14.6731i | 0.116092 | + | 0.622278i | ||||
\(557\) | −11.6209 | + | 14.1601i | −0.492394 | + | 0.599984i | −0.958623 | − | 0.284680i | \(-0.908113\pi\) |
0.466228 | + | 0.884665i | \(0.345613\pi\) | |||||||
\(558\) | 4.12682 | + | 1.05987i | 0.174702 | + | 0.0448679i | ||||
\(559\) | 6.53231 | + | 15.7704i | 0.276287 | + | 0.667016i | ||||
\(560\) | 1.77538 | + | 6.39737i | 0.0750235 | + | 0.270338i | ||||
\(561\) | −1.15387 | + | 2.78570i | −0.0487165 | + | 0.117612i | ||||
\(562\) | −7.80446 | + | 10.3932i | −0.329211 | + | 0.438410i | ||||
\(563\) | −0.656972 | − | 6.67034i | −0.0276880 | − | 0.281121i | −0.999052 | − | 0.0435262i | \(-0.986141\pi\) |
0.971364 | − | 0.237595i | \(-0.0763592\pi\) | |||||||
\(564\) | −9.25924 | − | 9.48246i | −0.389884 | − | 0.399284i | ||||
\(565\) | 11.7888 | − | 22.0554i | 0.495961 | − | 0.927877i | ||||
\(566\) | 2.61788 | + | 10.7217i | 0.110038 | + | 0.450665i | ||||
\(567\) | −0.476963 | + | 0.713825i | −0.0200305 | + | 0.0299778i | ||||
\(568\) | 30.3183 | − | 32.2733i | 1.27213 | − | 1.35416i | ||||
\(569\) | 2.10121 | − | 1.40398i | 0.0880873 | − | 0.0588581i | −0.510747 | − | 0.859731i | \(-0.670631\pi\) |
0.598834 | + | 0.800873i | \(0.295631\pi\) | |||||||
\(570\) | −20.5908 | + | 0.888686i | −0.862456 | + | 0.0372230i | ||||
\(571\) | 27.0247 | + | 2.66170i | 1.13095 | + | 0.111389i | 0.646132 | − | 0.763226i | \(-0.276386\pi\) |
0.484819 | + | 0.874615i | \(0.338886\pi\) | |||||||
\(572\) | −1.59489 | − | 5.49227i | −0.0666855 | − | 0.229644i | ||||
\(573\) | 13.8299 | + | 4.19526i | 0.577753 | + | 0.175259i | ||||
\(574\) | 10.7614 | − | 3.77835i | 0.449171 | − | 0.157705i | ||||
\(575\) | − | 1.32092i | − | 0.0550864i | ||||||
\(576\) | −7.92839 | − | 1.06803i | −0.330349 | − | 0.0445014i | ||||
\(577\) | − | 21.1957i | − | 0.882391i | −0.897411 | − | 0.441195i | \(-0.854555\pi\) | ||
0.897411 | − | 0.441195i | \(-0.145445\pi\) | |||||||
\(578\) | −5.02816 | − | 14.3211i | −0.209144 | − | 0.595678i | ||||
\(579\) | 7.95546 | + | 2.41326i | 0.330618 | + | 0.100292i | ||||
\(580\) | 2.71450 | + | 1.49276i | 0.112713 | + | 0.0619836i | ||||
\(581\) | −7.16694 | − | 0.705882i | −0.297335 | − | 0.0292849i | ||||
\(582\) | 0.949261 | + | 21.9944i | 0.0393482 | + | 0.911696i | ||||
\(583\) | 2.17431 | − | 1.45283i | 0.0900506 | − | 0.0601699i | ||||
\(584\) | −5.34496 | + | 14.1368i | −0.221176 | + | 0.584984i | ||||
\(585\) | −2.55021 | + | 3.81665i | −0.105438 | + | 0.157799i | ||||
\(586\) | 5.58162 | − | 1.36285i | 0.230575 | − | 0.0562989i | ||||
\(587\) | 7.18553 | − | 13.4432i | 0.296579 | − | 0.554859i | −0.688859 | − | 0.724895i | \(-0.741888\pi\) |
0.985438 | + | 0.170036i | \(0.0543883\pi\) | |||||||
\(588\) | 0.149177 | − | 12.5250i | 0.00615195 | − | 0.516524i | ||||
\(589\) | 2.22602 | + | 22.6011i | 0.0917215 | + | 0.931264i | ||||
\(590\) | 10.9444 | + | 8.21840i | 0.450574 | + | 0.338346i | ||||
\(591\) | 0.692307 | − | 1.67138i | 0.0284777 | − | 0.0687513i | ||||
\(592\) | 4.41246 | − | 2.22505i | 0.181351 | − | 0.0914491i | ||||
\(593\) | 5.63142 | + | 13.5955i | 0.231255 | + | 0.558298i | 0.996325 | − | 0.0856480i | \(-0.0272960\pi\) |
−0.765071 | + | 0.643946i | \(0.777296\pi\) | |||||||
\(594\) | −0.423696 | + | 1.64975i | −0.0173845 | + | 0.0676900i | ||||
\(595\) | 2.63607 | − | 3.21206i | 0.108068 | − | 0.131681i | ||||
\(596\) | 16.0011 | + | 10.9695i | 0.655430 | + | 0.449326i | ||||
\(597\) | 0.684174 | + | 2.25542i | 0.0280014 | + | 0.0923081i | ||||
\(598\) | 3.47272 | + | 0.536283i | 0.142010 | + | 0.0219302i | ||||
\(599\) | −40.0418 | + | 7.96482i | −1.63607 | + | 0.325434i | −0.925659 | − | 0.378358i | \(-0.876489\pi\) |
−0.710406 | + | 0.703792i | \(0.751489\pi\) | |||||||
\(600\) | −0.929187 | + | 3.44705i | −0.0379339 | + | 0.140725i | ||||
\(601\) | 7.20469 | − | 36.2204i | 0.293886 | − | 1.47746i | −0.498205 | − | 0.867059i | \(-0.666007\pi\) |
0.792091 | − | 0.610403i | \(-0.208993\pi\) | |||||||
\(602\) | −3.68502 | − | 7.91289i | −0.150190 | − | 0.322505i | ||||
\(603\) | −2.47947 | − | 3.02124i | −0.100972 | − | 0.123034i | ||||
\(604\) | 24.5294 | − | 29.1736i | 0.998085 | − | 1.18706i | ||||
\(605\) | −16.2822 | + | 8.70302i | −0.661966 | + | 0.353828i | ||||
\(606\) | 6.93560 | + | 0.382137i | 0.281740 | + | 0.0155233i | ||||
\(607\) | 0.716922 | − | 0.716922i | 0.0290990 | − | 0.0290990i | −0.692408 | − | 0.721507i | \(-0.743450\pi\) |
0.721507 | + | 0.692408i | \(0.243450\pi\) | |||||||
\(608\) | −9.12503 | − | 41.6536i | −0.370069 | − | 1.68928i | ||||
\(609\) | 0.486359 | + | 0.486359i | 0.0197083 | + | 0.0197083i | ||||
\(610\) | 7.71652 | + | 8.61644i | 0.312433 | + | 0.348869i | ||||
\(611\) | −7.41670 | − | 13.8757i | −0.300048 | − | 0.561350i | ||||
\(612\) | 2.30752 | + | 4.44356i | 0.0932758 | + | 0.179620i | ||||
\(613\) | −33.4334 | + | 27.4381i | −1.35036 | + | 1.10821i | −0.366280 | + | 0.930505i | \(0.619369\pi\) |
−0.984083 | + | 0.177709i | \(0.943131\pi\) | |||||||
\(614\) | 15.7639 | + | 5.74652i | 0.636178 | + | 0.231911i | ||||
\(615\) | −17.8128 | − | 3.54318i | −0.718280 | − | 0.142875i | ||||
\(616\) | 0.935913 | + | 2.77078i | 0.0377090 | + | 0.111638i | ||||
\(617\) | 2.66985 | + | 13.4222i | 0.107484 | + | 0.540358i | 0.996580 | + | 0.0826370i | \(0.0263342\pi\) |
−0.889096 | + | 0.457721i | \(0.848666\pi\) | |||||||
\(618\) | 7.39001 | + | 10.0893i | 0.297270 | + | 0.405851i | ||||
\(619\) | 5.91832 | − | 1.79530i | 0.237877 | − | 0.0721593i | −0.169095 | − | 0.985600i | \(-0.554084\pi\) |
0.406973 | + | 0.913440i | \(0.366584\pi\) | |||||||
\(620\) | −11.3978 | − | 2.40862i | −0.457746 | − | 0.0967324i | ||||
\(621\) | −0.808963 | − | 0.663899i | −0.0324626 | − | 0.0266413i | ||||
\(622\) | 3.99760 | + | 6.76056i | 0.160289 | + | 0.271074i | ||||
\(623\) | −0.675647 | + | 0.279862i | −0.0270692 | + | 0.0112124i | ||||
\(624\) | −8.68509 | − | 3.84231i | −0.347682 | − | 0.153816i | ||||
\(625\) | −15.7944 | − | 6.54224i | −0.631775 | − | 0.261690i | ||||
\(626\) | 2.22394 | + | 15.6335i | 0.0888866 | + | 0.624839i | ||||
\(627\) | −9.03509 | + | 0.889879i | −0.360827 | + | 0.0355383i | ||||
\(628\) | 9.09147 | − | 21.2300i | 0.362789 | − | 0.847170i | ||||
\(629\) | −2.72769 | − | 1.45798i | −0.108760 | − | 0.0581334i | ||||
\(630\) | 1.21872 | − | 2.00612i | 0.0485549 | − | 0.0799257i | ||||
\(631\) | 26.4560 | + | 17.6773i | 1.05320 | + | 0.703724i | 0.956542 | − | 0.291594i | \(-0.0941857\pi\) |
0.0966548 | + | 0.995318i | \(0.469186\pi\) | |||||||
\(632\) | 2.53415 | − | 15.2070i | 0.100803 | − | 0.604901i | ||||
\(633\) | −15.1932 | − | 22.7382i | −0.603876 | − | 0.903764i | ||||
\(634\) | 29.8690 | − | 32.5635i | 1.18625 | − | 1.29326i | ||||
\(635\) | −3.35874 | + | 34.1019i | −0.133288 | + | 1.35329i | ||||
\(636\) | 0.477068 | − | 4.31614i | 0.0189170 | − | 0.171146i | ||||
\(637\) | 4.31651 | − | 14.2296i | 0.171026 | − | 0.563799i | ||||
\(638\) | 1.23011 | + | 0.590790i | 0.0487007 | + | 0.0233896i | ||||
\(639\) | −15.6555 | −0.619323 | ||||||||
\(640\) | 21.7831 | + | 1.98274i | 0.861054 | + | 0.0783745i | ||||
\(641\) | −28.5176 | −1.12638 | −0.563188 | − | 0.826329i | \(-0.690425\pi\) | ||||
−0.563188 | + | 0.826329i | \(0.690425\pi\) | |||||||
\(642\) | 13.7741 | + | 6.61531i | 0.543619 | + | 0.261085i | ||||
\(643\) | 7.29472 | − | 24.0475i | 0.287676 | − | 0.948339i | −0.687365 | − | 0.726312i | \(-0.741233\pi\) |
0.975041 | − | 0.222027i | \(-0.0712673\pi\) | |||||||
\(644\) | −1.78600 | − | 0.197409i | −0.0703783 | − | 0.00777901i | ||||
\(645\) | −1.36241 | + | 13.8327i | −0.0536447 | + | 0.544664i | ||||
\(646\) | −18.0400 | + | 19.6675i | −0.709776 | + | 0.773806i | ||||
\(647\) | 14.0235 | + | 20.9876i | 0.551319 | + | 0.825107i | 0.997561 | − | 0.0698051i | \(-0.0222377\pi\) |
−0.446241 | + | 0.894913i | \(0.647238\pi\) | |||||||
\(648\) | 1.64404 | + | 2.30155i | 0.0645840 | + | 0.0904134i | ||||
\(649\) | 5.01293 | + | 3.34953i | 0.196775 | + | 0.131481i | ||||
\(650\) | −2.20047 | + | 3.62216i | −0.0863094 | + | 0.142073i | ||||
\(651\) | −2.28111 | − | 1.21928i | −0.0894036 | − | 0.0477872i | ||||
\(652\) | 23.9100 | + | 10.2391i | 0.936388 | + | 0.400996i | ||||
\(653\) | −15.4043 | + | 1.51719i | −0.602816 | + | 0.0593722i | −0.394822 | − | 0.918758i | \(-0.629194\pi\) |
−0.207995 | + | 0.978130i | \(0.566694\pi\) | |||||||
\(654\) | −0.983332 | − | 6.91244i | −0.0384513 | − | 0.270298i | ||||
\(655\) | 8.27830 | + | 3.42898i | 0.323460 | + | 0.133981i | ||||
\(656\) | 0.894955 | − | 37.5653i | 0.0349421 | − | 1.46668i | ||||
\(657\) | 4.93667 | − | 2.04484i | 0.192598 | − | 0.0797767i | ||||
\(658\) | 4.09507 | + | 6.92540i | 0.159642 | + | 0.269980i | ||||
\(659\) | 14.1513 | + | 11.6137i | 0.551258 | + | 0.452406i | 0.868324 | − | 0.495998i | \(-0.165198\pi\) |
−0.317066 | + | 0.948404i | \(0.602698\pi\) | |||||||
\(660\) | 0.962875 | − | 4.55641i | 0.0374799 | − | 0.177358i | ||||
\(661\) | 37.6609 | − | 11.4243i | 1.46484 | − | 0.444354i | 0.545596 | − | 0.838048i | \(-0.316303\pi\) |
0.919241 | + | 0.393695i | \(0.128803\pi\) | |||||||
\(662\) | 17.8287 | + | 24.3408i | 0.692932 | + | 0.946033i | ||||
\(663\) | 1.15961 | + | 5.82973i | 0.0450354 | + | 0.226408i | ||||
\(664\) | −10.5258 | + | 21.2637i | −0.408481 | + | 0.825191i | ||||
\(665\) | 12.2711 | + | 2.44087i | 0.475852 | + | 0.0946528i | ||||
\(666\) | −1.64150 | − | 0.598388i | −0.0636068 | − | 0.0231870i | ||||
\(667\) | −0.648120 | + | 0.531899i | −0.0250953 | + | 0.0205952i | ||||
\(668\) | −17.1661 | + | 8.91428i | −0.664177 | + | 0.344904i | ||||
\(669\) | −7.71463 | − | 14.4331i | −0.298265 | − | 0.558014i | ||||
\(670\) | 7.12911 | + | 7.96051i | 0.275421 | + | 0.307541i | ||||
\(671\) | 3.60283 | + | 3.60283i | 0.139086 | + | 0.139086i | ||||
\(672\) | 4.52184 | + | 1.77149i | 0.174434 | + | 0.0683369i | ||||
\(673\) | −0.778490 | + | 0.778490i | −0.0300086 | + | 0.0300086i | −0.721952 | − | 0.691943i | \(-0.756755\pi\) |
0.691943 | + | 0.721952i | \(0.256755\pi\) | |||||||
\(674\) | 41.2801 | + | 2.27445i | 1.59005 | + | 0.0876085i | ||||
\(675\) | 1.11318 | − | 0.595006i | 0.0428462 | − | 0.0229018i | ||||
\(676\) | 11.2711 | + | 9.47681i | 0.433503 | + | 0.364493i | ||||
\(677\) | −14.1765 | − | 17.2741i | −0.544845 | − | 0.663896i | 0.425686 | − | 0.904871i | \(-0.360033\pi\) |
−0.970531 | + | 0.240975i | \(0.922533\pi\) | |||||||
\(678\) | −7.72279 | − | 16.5833i | −0.296592 | − | 0.636876i | ||||
\(679\) | 2.60724 | − | 13.1075i | 0.100057 | − | 0.503020i | ||||
\(680\) | −6.82709 | − | 11.8660i | −0.261807 | − | 0.455040i | ||||
\(681\) | −3.17539 | + | 0.631624i | −0.121681 | + | 0.0242039i | ||||
\(682\) | −5.07155 | − | 0.783185i | −0.194200 | − | 0.0299897i | ||||
\(683\) | 3.85256 | + | 12.7002i | 0.147414 | + | 0.485960i | 0.999286 | − | 0.0377913i | \(-0.0120322\pi\) |
−0.851871 | + | 0.523751i | \(0.824532\pi\) | |||||||
\(684\) | −8.52447 | + | 12.4346i | −0.325941 | + | 0.475449i | ||||
\(685\) | −26.3257 | + | 32.0779i | −1.00585 | + | 1.22564i | ||||
\(686\) | −4.00560 | + | 15.5966i | −0.152935 | + | 0.595482i | ||||
\(687\) | 4.44684 | + | 10.7356i | 0.169658 | + | 0.409590i | ||||
\(688\) | −28.6785 | + | 2.13633i | −1.09336 | + | 0.0814470i | ||||
\(689\) | 1.97274 | − | 4.76263i | 0.0751556 | − | 0.181442i | ||||
\(690\) | 2.28804 | + | 1.71814i | 0.0871041 | + | 0.0654084i | ||||
\(691\) | −4.74536 | − | 48.1804i | −0.180522 | − | 1.83287i | −0.478256 | − | 0.878220i | \(-0.658731\pi\) |
0.297734 | − | 0.954649i | \(-0.403769\pi\) | |||||||
\(692\) | 10.4904 | + | 0.124944i | 0.398787 | + | 0.00474967i | ||||
\(693\) | 0.487421 | − | 0.911901i | 0.0185156 | − | 0.0346403i | ||||
\(694\) | 1.91771 | − | 0.468242i | 0.0727951 | − | 0.0177742i | ||||
\(695\) | −8.01617 | + | 11.9971i | −0.304071 | + | 0.455074i | ||||
\(696\) | 2.06548 | − | 0.932118i | 0.0782917 | − | 0.0353319i | ||||
\(697\) | −19.5543 | + | 13.0658i | −0.740672 | + | 0.494901i | ||||
\(698\) | 1.07168 | + | 24.8308i | 0.0405636 | + | 0.939858i | ||||
\(699\) | −24.5811 | − | 2.42103i | −0.929743 | − | 0.0915717i | ||||
\(700\) | 1.04433 | − | 1.89905i | 0.0394719 | − | 0.0717772i | ||||
\(701\) | −27.9556 | − | 8.48025i | −1.05587 | − | 0.320294i | −0.285823 | − | 0.958282i | \(-0.592267\pi\) |
−0.770046 | + | 0.637988i | \(0.779767\pi\) | |||||||
\(702\) | 1.11234 | + | 3.16812i | 0.0419824 | + | 0.119573i | ||||
\(703\) | − | 9.31269i | − | 0.351235i | ||||||
\(704\) | 9.62909 | + | 0.344186i | 0.362910 | + | 0.0129720i | ||||
\(705\) | − | 12.8116i | − | 0.482511i | ||||||
\(706\) | −41.7861 | + | 14.6712i | −1.57264 | + | 0.552158i | ||||
\(707\) | −4.03513 | − | 1.22404i | −0.151757 | − | 0.0460349i | ||||
\(708\) | 9.61442 | − | 2.79190i | 0.361332 | − | 0.104926i | ||||
\(709\) | −15.0597 | − | 1.48325i | −0.565579 | − | 0.0557047i | −0.188813 | − | 0.982013i | \(-0.560464\pi\) |
−0.376766 | + | 0.926308i | \(0.622964\pi\) | |||||||
\(710\) | 42.7647 | − | 1.84570i | 1.60493 | − | 0.0692677i | ||||
\(711\) | −4.53202 | + | 3.02820i | −0.169964 | + | 0.113566i | ||||
\(712\) | 0.0752151 | + | 2.40820i | 0.00281880 | + | 0.0902511i | ||||
\(713\) | 1.75167 | − | 2.62156i | 0.0656006 | − | 0.0981782i | ||||
\(714\) | −0.720974 | − | 2.95278i | −0.0269818 | − | 0.110505i | ||||
\(715\) | 2.60613 | − | 4.87572i | 0.0974636 | − | 0.182342i | ||||
\(716\) | 18.2446 | − | 17.8151i | 0.681833 | − | 0.665783i | ||||
\(717\) | −2.34440 | − | 23.8030i | −0.0875530 | − | 0.888941i | ||||
\(718\) | 7.04566 | − | 9.38268i | 0.262942 | − | 0.350159i | ||||
\(719\) | −11.3883 | + | 27.4938i | −0.424712 | + | 1.02534i | 0.556227 | + | 0.831030i | \(0.312248\pi\) |
−0.980939 | + | 0.194315i | \(0.937752\pi\) | |||||||
\(720\) | −4.76221 | − | 6.09310i | −0.177477 | − | 0.227076i | ||||
\(721\) | −2.90534 | − | 7.01411i | −0.108200 | − | 0.261219i | ||||
\(722\) | −51.8064 | − | 13.3052i | −1.92803 | − | 0.495167i | ||||
\(723\) | −7.47028 | + | 9.10257i | −0.277823 | + | 0.338528i | ||||
\(724\) | −45.0454 | + | 8.40367i | −1.67410 | + | 0.312320i | ||||
\(725\) | −0.293552 | − | 0.967713i | −0.0109023 | − | 0.0359399i | ||||
\(726\) | −2.06109 | + | 13.3467i | −0.0764944 | + | 0.495342i | ||||
\(727\) | 16.0993 | − | 3.20235i | 0.597089 | − | 0.118768i | 0.112712 | − | 0.993628i | \(-0.464046\pi\) |
0.484377 | + | 0.874859i | \(0.339046\pi\) | |||||||
\(728\) | 4.56862 | + | 3.51654i | 0.169324 | + | 0.130332i | ||||
\(729\) | 0.195090 | − | 0.980785i | 0.00722557 | − | 0.0363254i | ||||
\(730\) | −13.2440 | + | 6.16769i | −0.490181 | + | 0.228276i | ||||
\(731\) | 11.4183 | + | 13.9132i | 0.422321 | + | 0.514600i | ||||
\(732\) | 8.42943 | − | 0.728974i | 0.311561 | − | 0.0269437i | ||||
\(733\) | −41.1515 | + | 21.9959i | −1.51996 | + | 0.812438i | −0.999150 | − | 0.0412312i | \(-0.986872\pi\) |
−0.520815 | + | 0.853669i | \(0.674372\pi\) | |||||||
\(734\) | 1.78666 | − | 32.4270i | 0.0659468 | − | 1.19690i | ||||
\(735\) | 8.56193 | − | 8.56193i | 0.315811 | − | 0.315811i | ||||
\(736\) | −2.68930 | + | 5.27385i | −0.0991289 | + | 0.194397i | ||||
\(737\) | 3.32857 | + | 3.32857i | 0.122609 | + | 0.122609i | ||||
\(738\) | −9.89657 | + | 8.86296i | −0.364298 | + | 0.326250i | ||||
\(739\) | −8.61034 | − | 16.1088i | −0.316737 | − | 0.592573i | 0.672294 | − | 0.740284i | \(-0.265309\pi\) |
−0.989030 | + | 0.147712i | \(0.952809\pi\) | |||||||
\(740\) | 4.55447 | + | 1.44104i | 0.167426 | + | 0.0529735i | ||||
\(741\) | −13.8347 | + | 11.3539i | −0.508232 | + | 0.417095i | ||||
\(742\) | −0.902840 | + | 2.47667i | −0.0331443 | + | 0.0909216i | ||||
\(743\) | −37.2994 | − | 7.41930i | −1.36838 | − | 0.272188i | −0.544410 | − | 0.838820i | \(-0.683246\pi\) |
−0.823971 | + | 0.566632i | \(0.808246\pi\) | |||||||
\(744\) | −6.41523 | + | 5.60898i | −0.235194 | + | 0.205635i | ||||
\(745\) | 3.65861 | + | 18.3931i | 0.134041 | + | 0.673871i | ||||
\(746\) | 7.30612 | − | 5.35144i | 0.267496 | − | 0.195930i | ||||
\(747\) | 8.02730 | − | 2.43506i | 0.293704 | − | 0.0890940i | ||||
\(748\) | −3.29037 | − | 5.05366i | −0.120308 | − | 0.184780i | ||||
\(749\) | −7.17047 | − | 5.88465i | −0.262003 | − | 0.215020i | ||||
\(750\) | −14.7380 | + | 8.71477i | −0.538157 | + | 0.318218i | ||||
\(751\) | −25.8691 | + | 10.7153i | −0.943978 | + | 0.391008i | −0.800964 | − | 0.598712i | \(-0.795679\pi\) |
−0.143014 | + | 0.989721i | \(0.545679\pi\) | |||||||
\(752\) | 26.1131 | − | 4.55054i | 0.952248 | − | 0.165941i | ||||
\(753\) | 6.31012 | + | 2.61374i | 0.229953 | + | 0.0952499i | ||||
\(754\) | 2.66330 | − | 0.378869i | 0.0969918 | − | 0.0137976i | ||||
\(755\) | 36.6675 | − | 3.61143i | 1.33447 | − | 0.131434i | ||||
\(756\) | −0.638136 | − | 1.59403i | −0.0232088 | − | 0.0579744i | ||||
\(757\) | −29.1373 | − | 15.5742i | −1.05901 | − | 0.566055i | −0.152532 | − | 0.988299i | \(-0.548743\pi\) |
−0.906483 | + | 0.422243i | \(0.861243\pi\) | |||||||
\(758\) | −7.97002 | − | 4.84179i | −0.289484 | − | 0.175862i | ||||
\(759\) | 1.04800 | + | 0.700253i | 0.0380401 | + | 0.0254176i | ||||
\(760\) | 21.8195 | − | 34.9714i | 0.791477 | − | 1.26855i | ||||
\(761\) | 8.93620 | + | 13.3740i | 0.323937 | + | 0.484806i | 0.957319 | − | 0.289033i | \(-0.0933338\pi\) |
−0.633382 | + | 0.773839i | \(0.718334\pi\) | |||||||
\(762\) | 18.4720 | + | 16.9435i | 0.669170 | + | 0.613798i | ||||
\(763\) | −0.415446 | + | 4.21809i | −0.0150402 | + | 0.152705i | ||||
\(764\) | −22.5602 | + | 18.0694i | −0.816200 | + | 0.653727i | ||||
\(765\) | −1.40500 | + | 4.63167i | −0.0507979 | + | 0.167458i | ||||
\(766\) | 12.5022 | − | 26.0315i | 0.451723 | − | 0.940556i | ||||
\(767\) | 11.8851 | 0.429145 | ||||||||
\(768\) | 10.7278 | − | 11.8708i | 0.387105 | − | 0.428349i | ||||
\(769\) | −28.0274 | −1.01070 | −0.505348 | − | 0.862916i | \(-0.668636\pi\) | ||||
−0.505348 | + | 0.862916i | \(0.668636\pi\) | |||||||
\(770\) | −1.22393 | + | 2.54842i | −0.0441076 | + | 0.0918386i | ||||
\(771\) | 2.75276 | − | 9.07462i | 0.0991381 | − | 0.326814i | ||||
\(772\) | −12.9775 | + | 10.3942i | −0.467069 | + | 0.374094i | ||||
\(773\) | 5.40040 | − | 54.8312i | 0.194239 | − | 1.97214i | −0.0372599 | − | 0.999306i | \(-0.511863\pi\) |
0.231499 | − | 0.972835i | \(-0.425637\pi\) | |||||||
\(774\) | 7.49280 | + | 6.87279i | 0.269323 | + | 0.247037i | ||||
\(775\) | 2.11273 | + | 3.16192i | 0.0758915 | + | 0.113580i | ||||
\(776\) | −37.3551 | − | 23.3068i | −1.34097 | − | 0.836666i | ||||
\(777\) | 0.881882 | + | 0.589255i | 0.0316374 | + | 0.0211394i | ||||
\(778\) | −1.24578 | − | 0.756810i | −0.0446633 | − | 0.0271330i | ||||
\(779\) | −62.4506 | − | 33.3805i | −2.23752 | − | 1.19598i | ||||
\(780\) | −3.41196 | − | 8.52291i | −0.122168 | − | 0.305169i | ||||
\(781\) | 18.7648 | − | 1.84817i | 0.671458 | − | 0.0661328i | ||||
\(782\) | 3.66820 | − | 0.521822i | 0.131175 | − | 0.0186603i | ||||
\(783\) | −0.740188 | − | 0.306596i | −0.0264522 | − | 0.0109568i | ||||
\(784\) | 20.4924 | + | 14.4102i | 0.731873 | + | 0.514651i | ||||
\(785\) | 20.6256 | − | 8.54339i | 0.736158 | − | 0.304927i | ||||
\(786\) | 5.64187 | − | 3.33610i | 0.201239 | − | 0.118995i | ||||
\(787\) | 24.0061 | + | 19.7013i | 0.855724 | + | 0.702275i | 0.956216 | − | 0.292663i | \(-0.0945415\pi\) |
−0.100491 | + | 0.994938i | \(0.532041\pi\) | |||||||
\(788\) | 1.97418 | + | 3.03213i | 0.0703272 | + | 0.108015i | ||||
\(789\) | 3.63030 | − | 1.10124i | 0.129242 | − | 0.0392051i | ||||
\(790\) | 12.0227 | − | 8.80615i | 0.427748 | − | 0.313309i | ||||
\(791\) | 2.16650 | + | 10.8917i | 0.0770319 | + | 0.387266i | ||||
\(792\) | −2.24226 | − | 2.56457i | −0.0796752 | − | 0.0911280i | ||||
\(793\) | 9.85120 | + | 1.95953i | 0.349826 | + | 0.0695848i | ||||
\(794\) | 1.59761 | − | 4.38256i | 0.0566969 | − | 0.155531i | ||||
\(795\) | 3.24485 | − | 2.66298i | 0.115083 | − | 0.0944461i | ||||
\(796\) | −4.49422 | − | 1.42197i | −0.159293 | − | 0.0504005i | ||||
\(797\) | −21.4792 | − | 40.1848i | −0.760834 | − | 1.42342i | −0.901237 | − | 0.433326i | \(-0.857340\pi\) |
0.140403 | − | 0.990094i | \(-0.455160\pi\) | |||||||
\(798\) | 6.81767 | − | 6.10563i | 0.241343 | − | 0.216137i | ||||
\(799\) | −11.7307 | − | 11.7307i | −0.415004 | − | 0.415004i | ||||
\(800\) | −4.63543 | − | 5.43093i | −0.163887 | − | 0.192013i | ||||
\(801\) | 0.602343 | − | 0.602343i | 0.0212828 | − | 0.0212828i | ||||
\(802\) | −2.70395 | + | 49.0754i | −0.0954799 | + | 1.73291i | ||||
\(803\) | −5.67573 | + | 3.03374i | −0.200292 | + | 0.107058i | ||||
\(804\) | 7.78774 | − | 0.673481i | 0.274653 | − | 0.0237519i | ||||
\(805\) | −1.10193 | − | 1.34271i | −0.0388379 | − | 0.0473242i | ||||
\(806\) | −9.17047 | + | 4.27067i | −0.323016 | + | 0.150428i | ||||
\(807\) | −4.30131 | + | 21.6241i | −0.151413 | + | 0.761205i | ||||
\(808\) | −8.47361 | + | 11.0087i | −0.298101 | + | 0.387286i | ||||
\(809\) | −38.3608 | + | 7.63043i | −1.34869 | + | 0.268272i | −0.816007 | − | 0.578042i | \(-0.803817\pi\) |
−0.532685 | + | 0.846313i | \(0.678817\pi\) | |||||||
\(810\) | −0.417281 | + | 2.70212i | −0.0146618 | + | 0.0949427i | ||||
\(811\) | 11.2045 | + | 36.9362i | 0.393442 | + | 1.29700i | 0.900411 | + | 0.435040i | \(0.143266\pi\) |
−0.506969 | + | 0.861964i | \(0.669234\pi\) | |||||||
\(812\) | −1.35230 | + | 0.252285i | −0.0474564 | + | 0.00885348i | ||||
\(813\) | 17.5595 | − | 21.3963i | 0.615838 | − | 0.750401i | ||||
\(814\) | 2.03815 | + | 0.523448i | 0.0714372 | + | 0.0183468i | ||||
\(815\) | 9.62188 | + | 23.2293i | 0.337040 | + | 0.813686i | ||||
\(816\) | −9.93953 | − | 1.21862i | −0.347953 | − | 0.0426601i | ||||
\(817\) | −20.7393 | + | 50.0690i | −0.725576 | + | 1.75169i | ||||
\(818\) | −15.7179 | + | 20.9315i | −0.549563 | + | 0.731851i | ||||
\(819\) | −0.199791 | − | 2.02852i | −0.00698127 | − | 0.0708821i | ||||
\(820\) | 25.9886 | − | 25.3768i | 0.907562 | − | 0.886198i | ||||
\(821\) | −9.08737 | + | 17.0013i | −0.317152 | + | 0.593349i | −0.989099 | − | 0.147250i | \(-0.952958\pi\) |
0.671948 | + | 0.740598i | \(0.265458\pi\) | |||||||
\(822\) | 7.20017 | + | 29.4886i | 0.251135 | + | 1.02853i | ||||
\(823\) | 2.42167 | − | 3.62429i | 0.0844141 | − | 0.126335i | −0.786860 | − | 0.617132i | \(-0.788294\pi\) |
0.871274 | + | 0.490797i | \(0.163294\pi\) | |||||||
\(824\) | −25.0003 | + | 0.780832i | −0.870926 | + | 0.0272016i | ||||
\(825\) | −1.26402 | + | 0.844591i | −0.0440075 | + | 0.0294049i | ||||
\(826\) | −6.07196 | + | 0.262061i | −0.211271 | + | 0.00911828i | ||||
\(827\) | −17.6998 | − | 1.74328i | −0.615484 | − | 0.0606199i | −0.214529 | − | 0.976718i | \(-0.568822\pi\) |
−0.400955 | + | 0.916098i | \(0.631322\pi\) | |||||||
\(828\) | 2.00999 | − | 0.583675i | 0.0698519 | − | 0.0202841i | ||||
\(829\) | 0.591082 | + | 0.179303i | 0.0205291 | + | 0.00622744i | 0.300533 | − | 0.953772i | \(-0.402836\pi\) |
−0.280003 | + | 0.959999i | \(0.590336\pi\) | |||||||
\(830\) | −21.6403 | + | 7.59798i | −0.751147 | + | 0.263730i | ||||
\(831\) | 27.9178i | 0.968459i | ||||||||
\(832\) | 16.1599 | − | 9.98168i | 0.560244 | − | 0.346052i | ||||
\(833\) | − | 15.6792i | − | 0.543254i | ||||||
\(834\) | 3.49645 | + | 9.95849i | 0.121072 | + | 0.344834i | ||||
\(835\) | −17.8928 | − | 5.42773i | −0.619207 | − | 0.187834i | ||||
\(836\) | 8.74955 | − | 15.9105i | 0.302610 | − | 0.550277i | ||||
\(837\) | 2.99829 | + | 0.295306i | 0.103636 | + | 0.0102073i | ||||
\(838\) | −2.27506 | − | 52.7130i | −0.0785906 | − | 1.82094i | ||||
\(839\) | 1.51148 | − | 1.00994i | 0.0521820 | − | 0.0348669i | −0.529206 | − | 0.848494i | \(-0.677510\pi\) |
0.581388 | + | 0.813627i | \(0.302510\pi\) | |||||||
\(840\) | 1.93106 | + | 4.27903i | 0.0666280 | + | 0.147641i | ||||
\(841\) | 15.7549 | − | 23.5789i | 0.543273 | − | 0.813066i | ||||
\(842\) | 36.7634 | − | 8.97645i | 1.26695 | − | 0.309349i | ||||
\(843\) | −4.33233 | + | 8.10523i | −0.149214 | + | 0.279159i | ||||
\(844\) | 54.6902 | + | 0.651377i | 1.88251 | + | 0.0224213i | ||||
\(845\) | 1.39526 | + | 14.1663i | 0.0479985 | + | 0.487337i | ||||
\(846\) | −7.49390 | − | 5.62733i | −0.257645 | − | 0.193472i | ||||
\(847\) | 3.13734 | − | 7.57421i | 0.107800 | − | 0.260253i | ||||
\(848\) | 6.58035 | + | 5.66794i | 0.225970 | + | 0.194638i | ||||
\(849\) | 2.98649 | + | 7.21003i | 0.102496 | + | 0.247447i | ||||
\(850\) | −1.11164 | + | 4.32838i | −0.0381288 | + | 0.148462i | ||||
\(851\) | −0.820202 | + | 0.999419i | −0.0281162 | + | 0.0342596i | ||||
\(852\) | 17.7043 | − | 25.8252i | 0.606540 | − | 0.884756i | ||||
\(853\) | 6.71196 | + | 22.1264i | 0.229813 | + | 0.757593i | 0.993683 | + | 0.112222i | \(0.0357969\pi\) |
−0.763870 | + | 0.645370i | \(0.776703\pi\) | |||||||
\(854\) | −5.07608 | − | 0.783886i | −0.173700 | − | 0.0268240i | ||||
\(855\) | −14.2935 | + | 2.84314i | −0.488826 | + | 0.0972335i | ||||
\(856\) | −26.4892 | + | 15.2405i | −0.905381 | + | 0.520910i | ||||
\(857\) | 8.68022 | − | 43.6384i | 0.296511 | − | 1.49066i | −0.489258 | − | 0.872139i | \(-0.662732\pi\) |
0.785768 | − | 0.618521i | \(-0.212268\pi\) | |||||||
\(858\) | −1.70726 | − | 3.66601i | −0.0582847 | − | 0.125156i | ||||
\(859\) | 5.14885 | + | 6.27389i | 0.175676 | + | 0.214062i | 0.853403 | − | 0.521252i | \(-0.174535\pi\) |
−0.677727 | + | 0.735314i | \(0.737035\pi\) | |||||||
\(860\) | −21.2776 | − | 17.8904i | −0.725561 | − | 0.610057i | ||||
\(861\) | 7.11255 | − | 3.80174i | 0.242395 | − | 0.129563i | ||||
\(862\) | −29.4188 | − | 1.62091i | −1.00201 | − | 0.0552085i | ||||
\(863\) | 34.8833 | − | 34.8833i | 1.18744 | − | 1.18744i | 0.209668 | − | 0.977773i | \(-0.432762\pi\) |
0.977773 | − | 0.209668i | \(-0.0672384\pi\) | |||||||
\(864\) | −5.65580 | + | 0.109244i | −0.192414 | + | 0.00371656i | ||||
\(865\) | 7.17111 | + | 7.17111i | 0.243825 | + | 0.243825i | ||||
\(866\) | −14.9638 | − | 16.7089i | −0.508491 | − | 0.567792i | ||||
\(867\) | −5.05929 | − | 9.46526i | −0.171822 | − | 0.321457i | ||||
\(868\) | 4.59093 | − | 2.38405i | 0.155826 | − | 0.0809198i | ||||
\(869\) | 5.07462 | − | 4.16464i | 0.172145 | − | 0.141276i | ||||
\(870\) | 2.05805 | + | 0.750235i | 0.0697744 | + | 0.0254354i | ||||
\(871\) | 9.10128 | + | 1.81036i | 0.308385 | + | 0.0613416i | ||||
\(872\) | 12.5147 | + | 6.19496i | 0.423801 | + | 0.209788i | ||||
\(873\) | 3.03694 | + | 15.2677i | 0.102785 | + | 0.516735i | ||||
\(874\) | 6.59224 | + | 9.00012i | 0.222986 | + | 0.304434i | ||||
\(875\) | 9.94639 | − | 3.01720i | 0.336249 | − | 0.102000i | ||||
\(876\) | −2.20958 | + | 10.4559i | −0.0746547 | + | 0.353273i | ||||
\(877\) | −43.8972 | − | 36.0255i | −1.48230 | − | 1.21649i | −0.921403 | − | 0.388609i | \(-0.872956\pi\) |
−0.560899 | − | 0.827884i | \(-0.689544\pi\) | |||||||
\(878\) | 21.8900 | + | 37.0194i | 0.738751 | + | 1.24934i | ||||
\(879\) | 3.75349 | − | 1.55475i | 0.126602 | − | 0.0524403i | ||||
\(880\) | 6.42731 | + | 6.74104i | 0.216665 | + | 0.227240i | ||||
\(881\) | −26.0395 | − | 10.7859i | −0.877293 | − | 0.363387i | −0.101847 | − | 0.994800i | \(-0.532475\pi\) |
−0.775447 | + | 0.631413i | \(0.782475\pi\) | |||||||
\(882\) | −1.24742 | − | 8.76888i | −0.0420028 | − | 0.295264i | ||||
\(883\) | −14.1645 | + | 1.39508i | −0.476674 | + | 0.0469483i | −0.333502 | − | 0.942750i | \(-0.608230\pi\) |
−0.143172 | + | 0.989698i | \(0.545730\pi\) | |||||||
\(884\) | −10.9280 | − | 4.67978i | −0.367549 | − | 0.157398i | ||||
\(885\) | 8.53512 | + | 4.56211i | 0.286905 | + | 0.153354i | ||||
\(886\) | −10.0577 | + | 16.5558i | −0.337894 | + | 0.556203i | ||||
\(887\) | −6.20753 | − | 4.14774i | −0.208429 | − | 0.139267i | 0.446975 | − | 0.894547i | \(-0.352501\pi\) |
−0.655403 | + | 0.755279i | \(0.727501\pi\) | |||||||
\(888\) | 2.84341 | − | 2.03110i | 0.0954185 | − | 0.0681593i | ||||
\(889\) | −8.45380 | − | 12.6520i | −0.283531 | − | 0.424334i | ||||
\(890\) | −1.57435 | + | 1.71638i | −0.0527724 | + | 0.0575331i | ||||
\(891\) | −0.118052 | + | 1.19861i | −0.00395490 | + | 0.0401548i | ||||
\(892\) | 32.5328 | + | 3.59590i | 1.08928 | + | 0.120400i | ||||
\(893\) | 14.5002 | − | 47.8009i | 0.485232 | − | 1.59960i | ||||
\(894\) | 12.3657 | + | 5.93892i | 0.413572 | + | 0.198627i | ||||
\(895\) | 24.6499 | 0.823956 | ||||||||
\(896\) | −8.03584 | + | 5.45586i | −0.268459 | + | 0.182267i | ||||
\(897\) | 2.48469 | 0.0829614 | ||||||||
\(898\) | −10.2696 | − | 4.93219i | −0.342700 | − | 0.164589i | ||||
\(899\) | 0.700683 | − | 2.30984i | 0.0233691 | − | 0.0770375i | ||||
\(900\) | −0.277341 | + | 2.50916i | −0.00924468 | + | 0.0836386i | ||||
\(901\) | 0.532782 | − | 5.40943i | 0.0177495 | − | 0.180214i | ||||
\(902\) | 10.8158 | − | 11.7915i | 0.360127 | − | 0.392614i | ||||
\(903\) | −3.42912 | − | 5.13203i | −0.114114 | − | 0.170783i | ||||
\(904\) | 36.0890 | + | 6.01402i | 1.20030 | + | 0.200023i | ||||
\(905\) | −36.8301 | − | 24.6091i | −1.22427 | − | 0.818034i | ||||
\(906\) | 13.9933 | − | 23.0343i | 0.464898 | − | 0.765263i | ||||
\(907\) | 20.1251 | + | 10.7571i | 0.668244 | + | 0.357184i | 0.770379 | − | 0.637587i | \(-0.220067\pi\) |
−0.102135 | + | 0.994771i | \(0.532567\pi\) | |||||||
\(908\) | 2.54902 | − | 5.95237i | 0.0845922 | − | 0.197536i | ||||
\(909\) | 4.88800 | − | 0.481426i | 0.162125 | − | 0.0159679i | ||||
\(910\) | 0.784901 | + | 5.51755i | 0.0260192 | + | 0.182905i | ||||
\(911\) | 13.0708 | + | 5.41408i | 0.433053 | + | 0.179377i | 0.588552 | − | 0.808460i | \(-0.299698\pi\) |
−0.155498 | + | 0.987836i | \(0.549698\pi\) | |||||||
\(912\) | −10.8719 | − | 28.1237i | −0.360006 | − | 0.931270i | ||||
\(913\) | −9.33411 | + | 3.86631i | −0.308914 | + | 0.127956i | ||||
\(914\) | 4.73915 | + | 8.01465i | 0.156757 | + | 0.265101i | ||||
\(915\) | 6.32235 | + | 5.18862i | 0.209010 | + | 0.171530i | ||||
\(916\) | −22.7382 | − | 4.80510i | −0.751290 | − | 0.158765i | ||||
\(917\) | −3.80758 | + | 1.15502i | −0.125737 | + | 0.0381420i | ||||
\(918\) | 2.09208 | + | 2.85624i | 0.0690490 | + | 0.0942699i | ||||
\(919\) | 0.819640 | + | 4.12061i | 0.0270374 | + | 0.135926i | 0.991946 | − | 0.126658i | \(-0.0404251\pi\) |
−0.964909 | + | 0.262585i | \(0.915425\pi\) | |||||||
\(920\) | −5.42168 | + | 1.83134i | −0.178748 | + | 0.0603773i | ||||
\(921\) | 11.6363 | + | 2.31461i | 0.383429 | + | 0.0762689i | ||||
\(922\) | −50.1327 | − | 18.2752i | −1.65103 | − | 0.601863i | ||||
\(923\) | 28.7331 | − | 23.5806i | 0.945761 | − | 0.776166i | ||||
\(924\) | 0.953053 | + | 1.83528i | 0.0313532 | + | 0.0603764i | ||||
\(925\) | −0.735089 | − | 1.37526i | −0.0241696 | − | 0.0452181i | ||||
\(926\) | −20.0993 | − | 22.4433i | −0.660503 | − | 0.737531i | ||||
\(927\) | 6.25312 | + | 6.25312i | 0.205379 | + | 0.205379i | ||||
\(928\) | −0.798167 | + | 4.46129i | −0.0262011 | + | 0.146449i | ||||
\(929\) | −7.17696 | + | 7.17696i | −0.235468 | + | 0.235468i | −0.814971 | − | 0.579502i | \(-0.803247\pi\) |
0.579502 | + | 0.814971i | \(0.303247\pi\) | |||||||
\(930\) | −8.22497 | − | 0.453178i | −0.269707 | − | 0.0148603i | ||||
\(931\) | 41.6357 | − | 22.2547i | 1.36455 | − | 0.729370i | ||||
\(932\) | 31.7916 | − | 37.8108i | 1.04137 | − | 1.23854i | ||||
\(933\) | 3.52319 | + | 4.29302i | 0.115344 | + | 0.140547i | ||||
\(934\) | −12.0209 | − | 25.8125i | −0.393334 | − | 0.844612i | ||||
\(935\) | 1.13726 | − | 5.71741i | 0.0371925 | − | 0.186979i | ||||
\(936\) | −6.48399 | − | 1.74782i | −0.211936 | − | 0.0571294i | ||||
\(937\) | −14.0247 | + | 2.78969i | −0.458168 | + | 0.0911352i | −0.418778 | − | 0.908089i | \(-0.637541\pi\) |
−0.0393898 | + | 0.999224i | \(0.512541\pi\) | |||||||
\(938\) | −4.68967 | − | 0.724213i | −0.153123 | − | 0.0236464i | ||||
\(939\) | 3.24126 | + | 10.6850i | 0.105775 | + | 0.348692i | ||||
\(940\) | 21.1338 | + | 14.4882i | 0.689308 | + | 0.472552i | ||||
\(941\) | 34.5436 | − | 42.0915i | 1.12609 | − | 1.37214i | 0.206885 | − | 0.978365i | \(-0.433667\pi\) |
0.919205 | − | 0.393779i | \(-0.128833\pi\) | |||||||
\(942\) | 4.06224 | − | 15.8171i | 0.132355 | − | 0.515351i | ||||
\(943\) | 3.76212 | + | 9.08257i | 0.122512 | + | 0.295769i | ||||
\(944\) | −6.26713 | + | 19.0171i | −0.203978 | + | 0.618954i | ||||
\(945\) | 0.635173 | − | 1.53344i | 0.0206622 | − | 0.0498829i | ||||
\(946\) | −9.79226 | − | 7.35323i | −0.318374 | − | 0.239074i | ||||
\(947\) | 2.65930 | + | 27.0004i | 0.0864158 | + | 0.877394i | 0.936481 | + | 0.350717i | \(0.114062\pi\) |
−0.850066 | + | 0.526677i | \(0.823438\pi\) | |||||||
\(948\) | 0.129828 | − | 10.9005i | 0.00421661 | − | 0.354031i | ||||
\(949\) | −5.98046 | + | 11.1887i | −0.194134 | + | 0.363199i | ||||
\(950\) | −13.0717 | + | 3.19168i | −0.424101 | + | 0.103552i | ||||
\(951\) | 17.3590 | − | 25.9795i | 0.562903 | − | 0.842443i | ||||
\(952\) | 5.68620 | + | 2.14989i | 0.184291 | + | 0.0696784i | ||||
\(953\) | 34.7073 | − | 23.1907i | 1.12428 | − | 0.751219i | 0.152780 | − | 0.988260i | \(-0.451178\pi\) |
0.971500 | + | 0.237041i | \(0.0761775\pi\) | |||||||
\(954\) | −0.132400 | − | 3.06770i | −0.00428660 | − | 0.0993204i | ||||
\(955\) | −27.8064 | − | 2.73869i | −0.899794 | − | 0.0886220i | ||||
\(956\) | 41.9164 | + | 23.0508i | 1.35567 | + | 0.745515i | ||||
\(957\) | 0.923389 | + | 0.280107i | 0.0298489 | + | 0.00905457i | ||||
\(958\) | 20.1210 | + | 57.3079i | 0.650079 | + | 1.85153i | ||||
\(959\) | − | 18.4272i | − | 0.595046i | ||||||
\(960\) | 15.4365 | − | 0.965197i | 0.498212 | − | 0.0311516i | ||||
\(961\) | − | 21.9230i | − | 0.707195i | ||||||
\(962\) | 3.91400 | − | 1.37421i | 0.126192 | − | 0.0443065i | ||||
\(963\) | 10.3395 | + | 3.13647i | 0.333187 | + | 0.101071i | ||||
\(964\) | −6.56760 | − | 22.6167i | −0.211528 | − | 0.728434i | ||||
\(965\) | −15.9953 | − | 1.57540i | −0.514906 | − | 0.0507138i | ||||
\(966\) | −1.26940 | + | 0.0547865i | −0.0408424 | + | 0.00176273i | ||||
\(967\) | −32.3460 | + | 21.6129i | −1.04018 | + | 0.695025i | −0.953556 | − | 0.301217i | \(-0.902607\pi\) |
−0.0866222 | + | 0.996241i | \(0.527607\pi\) | |||||||
\(968\) | −19.6857 | − | 18.4933i | −0.632723 | − | 0.594397i | ||||
\(969\) | −10.4843 | + | 15.6909i | −0.336805 | + | 0.504065i | ||||
\(970\) | −10.0957 | − | 41.3474i | −0.324153 | − | 1.32758i | ||||
\(971\) | 23.0982 | − | 43.2137i | 0.741257 | − | 1.38679i | −0.174336 | − | 0.984686i | \(-0.555778\pi\) |
0.915592 | − | 0.402108i | \(-0.131722\pi\) | |||||||
\(972\) | 1.39727 | + | 1.43096i | 0.0448175 | + | 0.0458979i | ||||
\(973\) | −0.628013 | − | 6.37632i | −0.0201332 | − | 0.204416i | ||||
\(974\) | 3.16905 | − | 4.22021i | 0.101543 | − | 0.135224i | ||||
\(975\) | −1.14684 | + | 2.76872i | −0.0367283 | + | 0.0886700i | ||||
\(976\) | −8.33005 | + | 14.7295i | −0.266638 | + | 0.471479i | ||||
\(977\) | 2.56954 | + | 6.20343i | 0.0822070 | + | 0.198465i | 0.959638 | − | 0.281237i | \(-0.0907447\pi\) |
−0.877431 | + | 0.479702i | \(0.840745\pi\) | |||||||
\(978\) | 17.8139 | + | 4.57504i | 0.569624 | + | 0.146294i | ||||
\(979\) | −0.650864 | + | 0.793080i | −0.0208017 | + | 0.0253470i | ||||
\(980\) | 4.44126 | + | 23.8061i | 0.141871 | + | 0.760456i | ||||
\(981\) | −1.43315 | − | 4.72446i | −0.0457569 | − | 0.150840i | ||||
\(982\) | 4.61603 | − | 29.8913i | 0.147303 | − | 0.953869i | ||||
\(983\) | −36.0036 | + | 7.16155i | −1.14833 | + | 0.228418i | −0.732334 | − | 0.680946i | \(-0.761569\pi\) |
−0.416001 | + | 0.909364i | \(0.636569\pi\) | |||||||
\(984\) | −3.42853 | − | 26.3481i | −0.109298 | − | 0.839946i | ||||
\(985\) | −0.682342 | + | 3.43036i | −0.0217412 | + | 0.109300i | ||||
\(986\) | 2.57137 | − | 1.19748i | 0.0818891 | − | 0.0381356i | ||||
\(987\) | 3.60910 | + | 4.39770i | 0.114879 | + | 0.139980i | ||||
\(988\) | −3.08398 | − | 35.6613i | −0.0981145 | − | 1.13454i | ||||
\(989\) | 6.63546 | − | 3.54673i | 0.210995 | − | 0.112779i | ||||
\(990\) | 0.181164 | − | 3.28803i | 0.00575776 | − | 0.104501i | ||||
\(991\) | −15.1208 | + | 15.1208i | −0.480329 | + | 0.480329i | −0.905237 | − | 0.424908i | \(-0.860306\pi\) |
0.424908 | + | 0.905237i | \(0.360306\pi\) | |||||||
\(992\) | −1.99774 | − | 16.9255i | −0.0634282 | − | 0.537385i | ||||
\(993\) | 15.0859 | + | 15.0859i | 0.478737 | + | 0.478737i | ||||
\(994\) | −14.1595 | + | 12.6807i | −0.449112 | + | 0.402206i | ||||
\(995\) | −2.14801 | − | 4.01864i | −0.0680964 | − | 0.127399i | ||||
\(996\) | −5.06097 | + | 15.9955i | −0.160363 | + | 0.506836i | ||||
\(997\) | −23.2167 | + | 19.0534i | −0.735279 | + | 0.603428i | −0.925693 | − | 0.378276i | \(-0.876517\pi\) |
0.190414 | + | 0.981704i | \(0.439017\pi\) | |||||||
\(998\) | 0.497539 | − | 1.36485i | 0.0157493 | − | 0.0432036i | ||||
\(999\) | −1.21169 | − | 0.241021i | −0.0383363 | − | 0.00762556i |
(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 | 384.2.v.a.325.11 | yes | 512 | |
128.13 | even | 32 | inner | 384.2.v.a.13.11 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.13.11 | ✓ | 512 | 128.13 | even | 32 | inner | |
384.2.v.a.325.11 | yes | 512 | 1.1 | even | 1 | trivial |