Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,2,Mod(7,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.w (of order \(12\), degree \(4\), 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: | \(1.24566627153\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 156.67 |
Dual form | 156.2.w.c.7.5 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.806088 | − | 1.16199i | 0.569990 | − | 0.821652i | ||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | −0.700446 | − | 1.87333i | −0.350223 | − | 0.936666i | ||||
\(5\) | −0.922964 | + | 0.922964i | −0.412762 | + | 0.412762i | −0.882700 | − | 0.469937i | \(-0.844276\pi\) |
0.469937 | + | 0.882700i | \(0.344276\pi\) | |||||||
\(6\) | 0.117097 | − | 1.40936i | 0.0478046 | − | 0.575368i | ||||
\(7\) | −0.757268 | − | 2.82616i | −0.286220 | − | 1.06819i | −0.947943 | − | 0.318440i | \(-0.896841\pi\) |
0.661723 | − | 0.749749i | \(-0.269826\pi\) | |||||||
\(8\) | −2.74142 | − | 0.696159i | −0.969237 | − | 0.246129i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0.328486 | + | 1.81647i | 0.103876 | + | 0.574417i | ||||
\(11\) | 6.23908 | + | 1.67176i | 1.88115 | + | 0.504054i | 0.999482 | + | 0.0321934i | \(0.0102493\pi\) |
0.881673 | + | 0.471860i | \(0.156417\pi\) | |||||||
\(12\) | −1.54327 | − | 1.27213i | −0.445504 | − | 0.367233i | ||||
\(13\) | −1.11510 | + | 3.42878i | −0.309273 | + | 0.950973i | ||||
\(14\) | −3.89440 | − | 1.39820i | −1.04082 | − | 0.373684i | ||||
\(15\) | −0.337828 | + | 1.26079i | −0.0872269 | + | 0.325535i | ||||
\(16\) | −3.01875 | + | 2.62434i | −0.754688 | + | 0.656084i | ||||
\(17\) | 4.26744 | + | 2.46381i | 1.03501 | + | 0.597561i | 0.918415 | − | 0.395619i | \(-0.129470\pi\) |
0.116591 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(18\) | −0.603270 | − | 1.27909i | −0.142192 | − | 0.301484i | ||||
\(19\) | −5.87432 | + | 1.57402i | −1.34766 | + | 0.361105i | −0.859271 | − | 0.511520i | \(-0.829083\pi\) |
−0.488391 | + | 0.872625i | \(0.662416\pi\) | |||||||
\(20\) | 2.37551 | + | 1.08253i | 0.531179 | + | 0.242062i | ||||
\(21\) | −2.06889 | − | 2.06889i | −0.451470 | − | 0.451470i | ||||
\(22\) | 6.97182 | − | 5.90218i | 1.48640 | − | 1.25835i | ||||
\(23\) | −1.59497 | − | 2.76257i | −0.332574 | − | 0.576036i | 0.650442 | − | 0.759556i | \(-0.274584\pi\) |
−0.983016 | + | 0.183521i | \(0.941251\pi\) | |||||||
\(24\) | −2.72222 | + | 0.767817i | −0.555670 | + | 0.156730i | ||||
\(25\) | 3.29627i | 0.659255i | ||||||||
\(26\) | 3.08535 | + | 4.05963i | 0.605086 | + | 0.796160i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −4.76392 | + | 3.39819i | −0.900296 | + | 0.642197i | ||||
\(29\) | 1.83272 | + | 3.17437i | 0.340328 | + | 0.589465i | 0.984494 | − | 0.175421i | \(-0.0561286\pi\) |
−0.644166 | + | 0.764886i | \(0.722795\pi\) | |||||||
\(30\) | 1.19271 | + | 1.40886i | 0.217758 | + | 0.257222i | ||||
\(31\) | −1.77808 | − | 1.77808i | −0.319353 | − | 0.319353i | 0.529165 | − | 0.848519i | \(-0.322505\pi\) |
−0.848519 | + | 0.529165i | \(0.822505\pi\) | |||||||
\(32\) | 0.616076 | + | 5.62321i | 0.108908 | + | 0.994052i | ||||
\(33\) | 6.23908 | − | 1.67176i | 1.08609 | − | 0.291016i | ||||
\(34\) | 6.30285 | − | 2.97268i | 1.08093 | − | 0.509811i | ||||
\(35\) | 3.30738 | + | 1.90952i | 0.559049 | + | 0.322767i | ||||
\(36\) | −1.97258 | − | 0.330063i | −0.328763 | − | 0.0550104i | ||||
\(37\) | 1.65532 | − | 6.17774i | 0.272133 | − | 1.01561i | −0.685606 | − | 0.727973i | \(-0.740463\pi\) |
0.957738 | − | 0.287640i | \(-0.0928708\pi\) | |||||||
\(38\) | −2.90622 | + | 8.09471i | −0.471451 | + | 1.31314i | ||||
\(39\) | 0.748687 | + | 3.52696i | 0.119886 | + | 0.564766i | ||||
\(40\) | 3.17276 | − | 1.88770i | 0.501657 | − | 0.298472i | ||||
\(41\) | −8.16771 | − | 2.18853i | −1.27558 | − | 0.341791i | −0.443415 | − | 0.896316i | \(-0.646233\pi\) |
−0.832167 | + | 0.554525i | \(0.812900\pi\) | |||||||
\(42\) | −4.07175 | + | 0.736326i | −0.628284 | + | 0.113618i | ||||
\(43\) | 0.803327 | − | 1.39140i | 0.122506 | − | 0.212187i | −0.798249 | − | 0.602327i | \(-0.794240\pi\) |
0.920755 | + | 0.390140i | \(0.127574\pi\) | |||||||
\(44\) | −1.23838 | − | 12.8589i | −0.186693 | − | 1.93855i | ||||
\(45\) | 0.337828 | + | 1.26079i | 0.0503605 | + | 0.187948i | ||||
\(46\) | −4.49577 | − | 0.373532i | −0.662865 | − | 0.0550743i | ||||
\(47\) | −1.94917 | + | 1.94917i | −0.284316 | + | 0.284316i | −0.834828 | − | 0.550511i | \(-0.814433\pi\) |
0.550511 | + | 0.834828i | \(0.314433\pi\) | |||||||
\(48\) | −1.30215 | + | 3.78212i | −0.187949 | + | 0.545902i | ||||
\(49\) | −1.35156 | + | 0.780323i | −0.193080 | + | 0.111475i | ||||
\(50\) | 3.83024 | + | 2.65709i | 0.541678 | + | 0.375769i | ||||
\(51\) | 4.92762 | 0.690004 | ||||||||
\(52\) | 7.20432 | − | 0.312724i | 0.999059 | − | 0.0433670i | ||||
\(53\) | 2.19902 | 0.302059 | 0.151029 | − | 0.988529i | \(-0.451741\pi\) | ||||
0.151029 | + | 0.988529i | \(0.451741\pi\) | |||||||
\(54\) | −1.16199 | − | 0.806088i | −0.158127 | − | 0.109695i | ||||
\(55\) | −7.30143 | + | 4.21548i | −0.984524 | + | 0.568415i | ||||
\(56\) | 0.108529 | + | 8.27487i | 0.0145028 | + | 1.10578i | ||||
\(57\) | −4.30030 | + | 4.30030i | −0.569589 | + | 0.569589i | ||||
\(58\) | 5.16592 | + | 0.429212i | 0.678319 | + | 0.0563583i | ||||
\(59\) | 0.998196 | + | 3.72532i | 0.129954 | + | 0.484995i | 0.999968 | − | 0.00803240i | \(-0.00255682\pi\) |
−0.870014 | + | 0.493028i | \(0.835890\pi\) | |||||||
\(60\) | 2.59851 | − | 0.250252i | 0.335467 | − | 0.0323074i | ||||
\(61\) | 1.35734 | − | 2.35098i | 0.173789 | − | 0.301012i | −0.765952 | − | 0.642897i | \(-0.777732\pi\) |
0.939742 | + | 0.341886i | \(0.111066\pi\) | |||||||
\(62\) | −3.49941 | + | 0.632826i | −0.444425 | + | 0.0803690i | ||||
\(63\) | −2.82616 | − | 0.757268i | −0.356063 | − | 0.0954068i | ||||
\(64\) | 7.03073 | + | 3.81692i | 0.878841 | + | 0.477115i | ||||
\(65\) | −2.13545 | − | 4.19384i | −0.264870 | − | 0.520182i | ||||
\(66\) | 3.08668 | − | 8.59734i | 0.379944 | − | 1.05826i | ||||
\(67\) | 1.55464 | − | 5.80201i | 0.189930 | − | 0.708829i | −0.803591 | − | 0.595182i | \(-0.797080\pi\) |
0.993521 | − | 0.113647i | \(-0.0362533\pi\) | |||||||
\(68\) | 1.62642 | − | 9.72010i | 0.197233 | − | 1.17874i | ||||
\(69\) | −2.76257 | − | 1.59497i | −0.332574 | − | 0.192012i | ||||
\(70\) | 4.88488 | − | 2.30391i | 0.583854 | − | 0.275369i | ||||
\(71\) | −6.51621 | + | 1.74601i | −0.773332 | + | 0.207214i | −0.623843 | − | 0.781550i | \(-0.714430\pi\) |
−0.149489 | + | 0.988763i | \(0.547763\pi\) | |||||||
\(72\) | −1.97360 | + | 2.02606i | −0.232591 | + | 0.238773i | ||||
\(73\) | −7.04372 | − | 7.04372i | −0.824405 | − | 0.824405i | 0.162332 | − | 0.986736i | \(-0.448099\pi\) |
−0.986736 | + | 0.162332i | \(0.948099\pi\) | |||||||
\(74\) | −5.84414 | − | 6.90326i | −0.679367 | − | 0.802488i | ||||
\(75\) | 1.64814 | + | 2.85466i | 0.190310 | + | 0.329627i | ||||
\(76\) | 7.06331 | + | 9.90205i | 0.810217 | + | 1.13584i | ||||
\(77\) | − | 18.8986i | − | 2.15370i | ||||||
\(78\) | 4.70181 | + | 1.97307i | 0.532375 | + | 0.223407i | ||||
\(79\) | − | 3.26039i | − | 0.366822i | −0.983036 | − | 0.183411i | \(-0.941286\pi\) | ||
0.983036 | − | 0.183411i | \(-0.0587139\pi\) | |||||||
\(80\) | 0.364032 | − | 5.20837i | 0.0407000 | − | 0.582313i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −9.12695 | + | 7.72666i | −1.00790 | + | 0.853267i | ||||
\(83\) | −1.56980 | − | 1.56980i | −0.172308 | − | 0.172308i | 0.615684 | − | 0.787993i | \(-0.288880\pi\) |
−0.787993 | + | 0.615684i | \(0.788880\pi\) | |||||||
\(84\) | −2.42658 | + | 5.32488i | −0.264762 | + | 0.580992i | ||||
\(85\) | −6.21270 | + | 1.66469i | −0.673862 | + | 0.180561i | ||||
\(86\) | −0.969246 | − | 2.05505i | −0.104516 | − | 0.221602i | ||||
\(87\) | 3.17437 | + | 1.83272i | 0.340328 | + | 0.196488i | ||||
\(88\) | −15.9401 | − | 8.92638i | −1.69922 | − | 0.951555i | ||||
\(89\) | −2.53716 | + | 9.46880i | −0.268938 | + | 1.00369i | 0.690858 | + | 0.722991i | \(0.257233\pi\) |
−0.959796 | + | 0.280700i | \(0.909434\pi\) | |||||||
\(90\) | 1.73735 | + | 0.623756i | 0.183133 | + | 0.0657496i | ||||
\(91\) | 10.5347 | + | 0.554944i | 1.10434 | + | 0.0581740i | ||||
\(92\) | −4.05802 | + | 4.92294i | −0.423078 | + | 0.513252i | ||||
\(93\) | −2.42891 | − | 0.650824i | −0.251866 | − | 0.0674873i | ||||
\(94\) | 0.693718 | + | 3.83613i | 0.0715515 | + | 0.395666i | ||||
\(95\) | 3.96903 | − | 6.87456i | 0.407214 | − | 0.705315i | ||||
\(96\) | 3.34514 | + | 4.56180i | 0.341412 | + | 0.465587i | ||||
\(97\) | −1.76604 | − | 6.59095i | −0.179314 | − | 0.669209i | −0.995776 | − | 0.0918106i | \(-0.970735\pi\) |
0.816462 | − | 0.577399i | \(-0.195932\pi\) | |||||||
\(98\) | −0.182747 | + | 2.19951i | −0.0184602 | + | 0.222184i | ||||
\(99\) | 4.56733 | − | 4.56733i | 0.459034 | − | 0.459034i | ||||
\(100\) | 6.17502 | − | 2.30886i | 0.617502 | − | 0.230886i | ||||
\(101\) | 6.90398 | − | 3.98602i | 0.686972 | − | 0.396623i | −0.115505 | − | 0.993307i | \(-0.536849\pi\) |
0.802477 | + | 0.596683i | \(0.203515\pi\) | |||||||
\(102\) | 3.97209 | − | 5.72584i | 0.393295 | − | 0.566943i | ||||
\(103\) | −13.6446 | −1.34444 | −0.672220 | − | 0.740352i | \(-0.734659\pi\) | ||||
−0.672220 | + | 0.740352i | \(0.734659\pi\) | |||||||
\(104\) | 5.44393 | − | 8.62344i | 0.533821 | − | 0.845597i | ||||
\(105\) | 3.81903 | 0.372699 | ||||||||
\(106\) | 1.77260 | − | 2.55524i | 0.172170 | − | 0.248187i | ||||
\(107\) | −1.28577 | + | 0.742339i | −0.124300 | + | 0.0717646i | −0.560861 | − | 0.827910i | \(-0.689530\pi\) |
0.436561 | + | 0.899675i | \(0.356196\pi\) | |||||||
\(108\) | −1.87333 | + | 0.700446i | −0.180262 | + | 0.0674004i | ||||
\(109\) | −11.4283 | + | 11.4283i | −1.09463 | + | 1.09463i | −0.0996053 | + | 0.995027i | \(0.531758\pi\) |
−0.995027 | + | 0.0996053i | \(0.968242\pi\) | |||||||
\(110\) | −0.987239 | + | 11.8822i | −0.0941295 | + | 1.13293i | ||||
\(111\) | −1.65532 | − | 6.17774i | −0.157116 | − | 0.586365i | ||||
\(112\) | 9.70280 | + | 6.54416i | 0.916829 | + | 0.618365i | ||||
\(113\) | 0.511720 | − | 0.886326i | 0.0481386 | − | 0.0833785i | −0.840952 | − | 0.541110i | \(-0.818004\pi\) |
0.889091 | + | 0.457731i | \(0.151338\pi\) | |||||||
\(114\) | 1.53049 | + | 8.46333i | 0.143344 | + | 0.792664i | ||||
\(115\) | 4.02185 | + | 1.07765i | 0.375040 | + | 0.100492i | ||||
\(116\) | 4.66293 | − | 5.65677i | 0.432942 | − | 0.525218i | ||||
\(117\) | 2.41186 | + | 2.68010i | 0.222977 | + | 0.247775i | ||||
\(118\) | 5.13342 | + | 1.84304i | 0.472570 | + | 0.169665i | ||||
\(119\) | 3.73152 | − | 13.9262i | 0.342068 | − | 1.27662i | ||||
\(120\) | 1.80384 | − | 3.22118i | 0.164667 | − | 0.294052i | ||||
\(121\) | 26.6051 | + | 15.3605i | 2.41865 | + | 1.39641i | ||||
\(122\) | −1.63768 | − | 3.47231i | −0.148269 | − | 0.314368i | ||||
\(123\) | −8.16771 | + | 2.18853i | −0.736458 | + | 0.197333i | ||||
\(124\) | −2.08549 | + | 4.57640i | −0.187283 | + | 0.410972i | ||||
\(125\) | −7.65716 | − | 7.65716i | −0.684878 | − | 0.684878i | ||||
\(126\) | −3.15807 | + | 2.67355i | −0.281343 | + | 0.238179i | ||||
\(127\) | 4.05853 | + | 7.02958i | 0.360136 | + | 0.623774i | 0.987983 | − | 0.154563i | \(-0.0493968\pi\) |
−0.627847 | + | 0.778337i | \(0.716064\pi\) | |||||||
\(128\) | 10.1026 | − | 5.09287i | 0.892953 | − | 0.450150i | ||||
\(129\) | − | 1.60665i | − | 0.141458i | ||||||
\(130\) | −6.59456 | − | 0.899233i | −0.578381 | − | 0.0788679i | ||||
\(131\) | 6.93662i | 0.606055i | 0.952982 | + | 0.303028i | \(0.0979974\pi\) | ||||
−0.952982 | + | 0.303028i | \(0.902003\pi\) | |||||||
\(132\) | −7.50190 | − | 10.5169i | −0.652956 | − | 0.915379i | ||||
\(133\) | 8.89687 | + | 15.4098i | 0.771457 | + | 1.33620i | ||||
\(134\) | −5.48871 | − | 6.48341i | −0.474152 | − | 0.560082i | ||||
\(135\) | 0.922964 | + | 0.922964i | 0.0794361 | + | 0.0794361i | ||||
\(136\) | −9.98363 | − | 9.72514i | −0.856089 | − | 0.833924i | ||||
\(137\) | 8.03913 | − | 2.15408i | 0.686829 | − | 0.184035i | 0.101505 | − | 0.994835i | \(-0.467634\pi\) |
0.585324 | + | 0.810800i | \(0.300967\pi\) | |||||||
\(138\) | −4.08021 | + | 1.92439i | −0.347331 | + | 0.163815i | ||||
\(139\) | 9.25550 | + | 5.34366i | 0.785041 | + | 0.453244i | 0.838214 | − | 0.545342i | \(-0.183600\pi\) |
−0.0531727 | + | 0.998585i | \(0.516933\pi\) | |||||||
\(140\) | 1.26052 | − | 7.53333i | 0.106533 | − | 0.636683i | ||||
\(141\) | −0.713447 | + | 2.66262i | −0.0600831 | + | 0.224233i | ||||
\(142\) | −3.22378 | + | 8.97922i | −0.270534 | + | 0.753519i | ||||
\(143\) | −12.6893 | + | 19.5283i | −1.06113 | + | 1.63304i | ||||
\(144\) | 0.763366 | + | 3.92648i | 0.0636138 | + | 0.327207i | ||||
\(145\) | −4.62137 | − | 1.23829i | −0.383784 | − | 0.102835i | ||||
\(146\) | −13.8626 | + | 2.50688i | −1.14728 | + | 0.207471i | ||||
\(147\) | −0.780323 | + | 1.35156i | −0.0643600 | + | 0.111475i | ||||
\(148\) | −12.7324 | + | 1.22620i | −1.04660 | + | 0.100793i | ||||
\(149\) | 4.08855 | + | 15.2587i | 0.334947 | + | 1.25004i | 0.903927 | + | 0.427687i | \(0.140672\pi\) |
−0.568980 | + | 0.822351i | \(0.692662\pi\) | |||||||
\(150\) | 4.64563 | + | 0.385983i | 0.379314 | + | 0.0315154i | ||||
\(151\) | −1.19577 | + | 1.19577i | −0.0973104 | + | 0.0973104i | −0.754086 | − | 0.656776i | \(-0.771920\pi\) |
0.656776 | + | 0.754086i | \(0.271920\pi\) | |||||||
\(152\) | 17.1997 | − | 0.225583i | 1.39508 | − | 0.0182972i | ||||
\(153\) | 4.26744 | − | 2.46381i | 0.345002 | − | 0.199187i | ||||
\(154\) | −21.9600 | − | 15.2340i | −1.76959 | − | 1.22759i | ||||
\(155\) | 3.28222 | 0.263634 | ||||||||
\(156\) | 6.08276 | − | 3.87299i | 0.487011 | − | 0.310087i | ||||
\(157\) | 6.37074 | 0.508440 | 0.254220 | − | 0.967146i | \(-0.418181\pi\) | ||||
0.254220 | + | 0.967146i | \(0.418181\pi\) | |||||||
\(158\) | −3.78854 | − | 2.62816i | −0.301400 | − | 0.209085i | ||||
\(159\) | 1.90441 | − | 1.09951i | 0.151029 | − | 0.0871969i | ||||
\(160\) | −5.75864 | − | 4.62140i | −0.455260 | − | 0.365354i | ||||
\(161\) | −6.59965 | + | 6.59965i | −0.520125 | + | 0.520125i | ||||
\(162\) | −1.40936 | − | 0.117097i | −0.110730 | − | 0.00920000i | ||||
\(163\) | −2.76497 | − | 10.3190i | −0.216569 | − | 0.808246i | −0.985608 | − | 0.169045i | \(-0.945932\pi\) |
0.769040 | − | 0.639201i | \(-0.220735\pi\) | |||||||
\(164\) | 1.62119 | + | 16.8338i | 0.126594 | + | 1.31450i | ||||
\(165\) | −4.21548 | + | 7.30143i | −0.328175 | + | 0.568415i | ||||
\(166\) | −3.08950 | + | 0.558699i | −0.239792 | + | 0.0433634i | ||||
\(167\) | −7.08854 | − | 1.89937i | −0.548528 | − | 0.146978i | −0.0260972 | − | 0.999659i | \(-0.508308\pi\) |
−0.522431 | + | 0.852682i | \(0.674975\pi\) | |||||||
\(168\) | 4.23142 | + | 7.11198i | 0.326461 | + | 0.548701i | ||||
\(169\) | −10.5131 | − | 7.64687i | −0.808701 | − | 0.588221i | ||||
\(170\) | −3.07363 | + | 8.56099i | −0.235737 | + | 0.656598i | ||||
\(171\) | −1.57402 | + | 5.87432i | −0.120368 | + | 0.449221i | ||||
\(172\) | −3.16925 | − | 0.530296i | −0.241653 | − | 0.0404347i | ||||
\(173\) | 11.6048 | + | 6.70004i | 0.882297 | + | 0.509394i | 0.871415 | − | 0.490546i | \(-0.163203\pi\) |
0.0108819 | + | 0.999941i | \(0.496536\pi\) | |||||||
\(174\) | 4.68843 | − | 2.21125i | 0.355429 | − | 0.167635i | ||||
\(175\) | 9.31580 | − | 2.49616i | 0.704209 | − | 0.188692i | ||||
\(176\) | −23.2215 | + | 11.3268i | −1.75039 | + | 0.853792i | ||||
\(177\) | 2.72712 | + | 2.72712i | 0.204983 | + | 0.204983i | ||||
\(178\) | 8.95749 | + | 10.5808i | 0.671392 | + | 0.793067i | ||||
\(179\) | −10.1189 | − | 17.5265i | −0.756326 | − | 1.30999i | −0.944713 | − | 0.327899i | \(-0.893659\pi\) |
0.188387 | − | 0.982095i | \(-0.439674\pi\) | |||||||
\(180\) | 2.12525 | − | 1.51598i | 0.158407 | − | 0.112995i | ||||
\(181\) | − | 7.21615i | − | 0.536372i | −0.963367 | − | 0.268186i | \(-0.913576\pi\) | ||
0.963367 | − | 0.268186i | \(-0.0864242\pi\) | |||||||
\(182\) | 9.13675 | − | 11.7939i | 0.677261 | − | 0.874224i | ||||
\(183\) | − | 2.71468i | − | 0.200675i | ||||||
\(184\) | 2.44929 | + | 8.68371i | 0.180564 | + | 0.640171i | ||||
\(185\) | 4.17403 | + | 7.22963i | 0.306881 | + | 0.531533i | ||||
\(186\) | −2.71416 | + | 2.29775i | −0.199012 | + | 0.168479i | ||||
\(187\) | 22.5060 | + | 22.5060i | 1.64580 | + | 1.64580i | ||||
\(188\) | 5.01674 | + | 2.28616i | 0.365884 | + | 0.166735i | ||||
\(189\) | −2.82616 | + | 0.757268i | −0.205573 | + | 0.0550831i | ||||
\(190\) | −4.78879 | − | 10.1535i | −0.347415 | − | 0.736610i | ||||
\(191\) | −1.27416 | − | 0.735635i | −0.0921947 | − | 0.0532287i | 0.453194 | − | 0.891412i | \(-0.350285\pi\) |
−0.545389 | + | 0.838183i | \(0.683618\pi\) | |||||||
\(192\) | 7.99725 | − | 0.209812i | 0.577152 | − | 0.0151419i | ||||
\(193\) | 5.87057 | − | 21.9093i | 0.422573 | − | 1.57706i | −0.346593 | − | 0.938016i | \(-0.612662\pi\) |
0.769166 | − | 0.639049i | \(-0.220672\pi\) | |||||||
\(194\) | −9.08220 | − | 3.26076i | −0.652064 | − | 0.234109i | ||||
\(195\) | −3.94627 | − | 2.56425i | −0.282598 | − | 0.183630i | ||||
\(196\) | 2.40850 | + | 1.98535i | 0.172036 | + | 0.141810i | ||||
\(197\) | 25.9643 | + | 6.95710i | 1.84988 | + | 0.495673i | 0.999533 | − | 0.0305553i | \(-0.00972758\pi\) |
0.850343 | + | 0.526228i | \(0.176394\pi\) | |||||||
\(198\) | −1.62553 | − | 8.98886i | −0.115521 | − | 0.638810i | ||||
\(199\) | −9.25911 | + | 16.0373i | −0.656361 | + | 1.13685i | 0.325190 | + | 0.945649i | \(0.394572\pi\) |
−0.981551 | + | 0.191202i | \(0.938762\pi\) | |||||||
\(200\) | 2.29473 | − | 9.03646i | 0.162262 | − | 0.638974i | ||||
\(201\) | −1.55464 | − | 5.80201i | −0.109656 | − | 0.409242i | ||||
\(202\) | 0.933500 | − | 11.2354i | 0.0656808 | − | 0.790523i | ||||
\(203\) | 7.58342 | − | 7.58342i | 0.532252 | − | 0.532252i | ||||
\(204\) | −3.45153 | − | 9.23106i | −0.241655 | − | 0.646304i | ||||
\(205\) | 9.55845 | − | 5.51857i | 0.667591 | − | 0.385434i | ||||
\(206\) | −10.9987 | + | 15.8549i | −0.766317 | + | 1.10466i | ||||
\(207\) | −3.18994 | −0.221716 | ||||||||
\(208\) | −5.63207 | − | 13.2770i | −0.390514 | − | 0.920597i | ||||
\(209\) | −39.2818 | −2.71718 | ||||||||
\(210\) | 3.07847 | − | 4.43768i | 0.212435 | − | 0.306229i | ||||
\(211\) | 13.7143 | − | 7.91795i | 0.944130 | − | 0.545094i | 0.0528778 | − | 0.998601i | \(-0.483161\pi\) |
0.891253 | + | 0.453507i | \(0.149827\pi\) | |||||||
\(212\) | −1.54029 | − | 4.11950i | −0.105788 | − | 0.282928i | ||||
\(213\) | −4.77020 | + | 4.77020i | −0.326848 | + | 0.326848i | ||||
\(214\) | −0.173851 | + | 2.09244i | −0.0118842 | + | 0.143036i | ||||
\(215\) | 0.542773 | + | 2.02566i | 0.0370168 | + | 0.138149i | ||||
\(216\) | −0.696159 | + | 2.74142i | −0.0473676 | + | 0.186530i | ||||
\(217\) | −3.67867 | + | 6.37164i | −0.249724 | + | 0.432535i | ||||
\(218\) | 4.06737 | + | 22.4918i | 0.275477 | + | 1.52334i | ||||
\(219\) | −9.62189 | − | 2.57818i | −0.650187 | − | 0.174217i | ||||
\(220\) | 13.0112 | + | 10.7253i | 0.877218 | + | 0.723099i | ||||
\(221\) | −13.2065 | + | 11.8847i | −0.888364 | + | 0.799454i | ||||
\(222\) | −8.51280 | − | 3.05633i | −0.571342 | − | 0.205127i | ||||
\(223\) | 3.04406 | − | 11.3606i | 0.203845 | − | 0.760761i | −0.785953 | − | 0.618286i | \(-0.787827\pi\) |
0.989798 | − | 0.142475i | \(-0.0455060\pi\) | |||||||
\(224\) | 15.4256 | − | 5.99940i | 1.03066 | − | 0.400852i | ||||
\(225\) | 2.85466 | + | 1.64814i | 0.190310 | + | 0.109876i | ||||
\(226\) | −0.617411 | − | 1.30907i | −0.0410696 | − | 0.0870781i | ||||
\(227\) | 19.7539 | − | 5.29304i | 1.31111 | − | 0.351312i | 0.465471 | − | 0.885063i | \(-0.345885\pi\) |
0.845641 | + | 0.533751i | \(0.179218\pi\) | |||||||
\(228\) | 11.0680 | + | 5.04377i | 0.732998 | + | 0.334032i | ||||
\(229\) | −2.34169 | − | 2.34169i | −0.154743 | − | 0.154743i | 0.625489 | − | 0.780233i | \(-0.284899\pi\) |
−0.780233 | + | 0.625489i | \(0.784899\pi\) | |||||||
\(230\) | 4.49419 | − | 3.80468i | 0.296338 | − | 0.250873i | ||||
\(231\) | −9.44932 | − | 16.3667i | −0.621719 | − | 1.07685i | ||||
\(232\) | −2.81439 | − | 9.97813i | −0.184774 | − | 0.655096i | ||||
\(233\) | − | 4.82769i | − | 0.316272i | −0.987417 | − | 0.158136i | \(-0.949451\pi\) | ||
0.987417 | − | 0.158136i | \(-0.0505485\pi\) | |||||||
\(234\) | 5.05842 | − | 0.642172i | 0.330679 | − | 0.0419801i | ||||
\(235\) | − | 3.59804i | − | 0.234710i | ||||||
\(236\) | 6.27958 | − | 4.47934i | 0.408766 | − | 0.291580i | ||||
\(237\) | −1.63019 | − | 2.82358i | −0.105892 | − | 0.183411i | ||||
\(238\) | −13.1742 | − | 15.5618i | −0.853958 | − | 1.00872i | ||||
\(239\) | −5.85402 | − | 5.85402i | −0.378665 | − | 0.378665i | 0.491955 | − | 0.870620i | \(-0.336282\pi\) |
−0.870620 | + | 0.491955i | \(0.836282\pi\) | |||||||
\(240\) | −2.28892 | − | 4.69260i | −0.147749 | − | 0.302906i | ||||
\(241\) | 8.36500 | − | 2.24139i | 0.538837 | − | 0.144381i | 0.0208710 | − | 0.999782i | \(-0.493356\pi\) |
0.517966 | + | 0.855401i | \(0.326689\pi\) | |||||||
\(242\) | 39.2948 | − | 18.5330i | 2.52597 | − | 1.19135i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | −5.35491 | − | 0.896013i | −0.342813 | − | 0.0573613i | ||||
\(245\) | 0.527231 | − | 1.96765i | 0.0336835 | − | 0.125709i | ||||
\(246\) | −4.04084 | + | 11.2550i | −0.257634 | + | 0.717590i | ||||
\(247\) | 1.15348 | − | 21.8970i | 0.0733942 | − | 1.39327i | ||||
\(248\) | 3.63664 | + | 6.11230i | 0.230927 | + | 0.388131i | ||||
\(249\) | −2.14439 | − | 0.574588i | −0.135895 | − | 0.0364131i | ||||
\(250\) | −15.0699 | + | 2.72521i | −0.953104 | + | 0.172357i | ||||
\(251\) | −1.00373 | + | 1.73851i | −0.0633547 | + | 0.109734i | −0.895963 | − | 0.444129i | \(-0.853513\pi\) |
0.832608 | + | 0.553862i | \(0.186847\pi\) | |||||||
\(252\) | 0.560958 | + | 5.82477i | 0.0353371 | + | 0.366926i | ||||
\(253\) | −5.33281 | − | 19.9023i | −0.335271 | − | 1.25125i | ||||
\(254\) | 11.4398 | + | 0.950482i | 0.717799 | + | 0.0596386i | ||||
\(255\) | −4.54801 | + | 4.54801i | −0.284808 | + | 0.284808i | ||||
\(256\) | 2.22572 | − | 15.8444i | 0.139108 | − | 0.990277i | ||||
\(257\) | −8.98006 | + | 5.18464i | −0.560161 | + | 0.323409i | −0.753210 | − | 0.657780i | \(-0.771496\pi\) |
0.193049 | + | 0.981189i | \(0.438162\pi\) | |||||||
\(258\) | −1.86692 | − | 1.29510i | −0.116229 | − | 0.0806296i | ||||
\(259\) | −18.7128 | −1.16276 | ||||||||
\(260\) | −6.36070 | + | 6.93796i | −0.394474 | + | 0.430274i | ||||
\(261\) | 3.66545 | 0.226885 | ||||||||
\(262\) | 8.06029 | + | 5.59152i | 0.497966 | + | 0.345445i | ||||
\(263\) | 11.7530 | − | 6.78557i | 0.724718 | − | 0.418416i | −0.0917686 | − | 0.995780i | \(-0.529252\pi\) |
0.816487 | + | 0.577364i | \(0.195919\pi\) | |||||||
\(264\) | −18.2677 | + | 0.239591i | −1.12430 | + | 0.0147458i | ||||
\(265\) | −2.02962 | + | 2.02962i | −0.124678 | + | 0.124678i | ||||
\(266\) | 25.0777 | + | 2.08359i | 1.53762 | + | 0.127753i | ||||
\(267\) | 2.53716 | + | 9.46880i | 0.155271 | + | 0.579481i | ||||
\(268\) | −11.9580 | + | 1.15163i | −0.730454 | + | 0.0703469i | ||||
\(269\) | 4.29489 | − | 7.43897i | 0.261864 | − | 0.453562i | −0.704873 | − | 0.709333i | \(-0.748996\pi\) |
0.966737 | + | 0.255771i | \(0.0823294\pi\) | |||||||
\(270\) | 1.81647 | − | 0.328486i | 0.110547 | − | 0.0199910i | ||||
\(271\) | 20.1056 | + | 5.38729i | 1.22133 | + | 0.327254i | 0.811198 | − | 0.584772i | \(-0.198816\pi\) |
0.410132 | + | 0.912026i | \(0.365483\pi\) | |||||||
\(272\) | −19.3482 | + | 3.76157i | −1.17316 | + | 0.228079i | ||||
\(273\) | 9.40081 | − | 4.78677i | 0.568963 | − | 0.289708i | ||||
\(274\) | 3.97722 | − | 11.0778i | 0.240273 | − | 0.669233i | ||||
\(275\) | −5.51057 | + | 20.5657i | −0.332300 | + | 1.24016i | ||||
\(276\) | −1.05288 | + | 6.29240i | −0.0633759 | + | 0.378758i | ||||
\(277\) | −25.0962 | − | 14.4893i | −1.50788 | − | 0.870576i | −0.999958 | − | 0.00917370i | \(-0.997080\pi\) |
−0.507924 | − | 0.861402i | \(-0.669587\pi\) | |||||||
\(278\) | 13.6700 | − | 6.44734i | 0.819874 | − | 0.386686i | ||||
\(279\) | −2.42891 | + | 0.650824i | −0.145415 | + | 0.0389638i | ||||
\(280\) | −7.73757 | − | 7.53724i | −0.462408 | − | 0.450436i | ||||
\(281\) | −10.6557 | − | 10.6557i | −0.635668 | − | 0.635668i | 0.313816 | − | 0.949484i | \(-0.398393\pi\) |
−0.949484 | + | 0.313816i | \(0.898393\pi\) | |||||||
\(282\) | 2.51884 | + | 2.97533i | 0.149995 | + | 0.177178i | ||||
\(283\) | 5.56627 | + | 9.64106i | 0.330880 | + | 0.573101i | 0.982685 | − | 0.185286i | \(-0.0593210\pi\) |
−0.651804 | + | 0.758387i | \(0.725988\pi\) | |||||||
\(284\) | 7.83512 | + | 10.9840i | 0.464929 | + | 0.651783i | ||||
\(285\) | − | 7.93805i | − | 0.470210i | ||||||
\(286\) | 12.4630 | + | 30.4864i | 0.736954 | + | 1.80270i | ||||
\(287\) | 24.7406i | 1.46039i | ||||||||
\(288\) | 5.17788 | + | 2.27807i | 0.305109 | + | 0.134236i | ||||
\(289\) | 3.64070 | + | 6.30587i | 0.214159 | + | 0.370934i | ||||
\(290\) | −5.16411 | + | 4.37181i | −0.303247 | + | 0.256722i | ||||
\(291\) | −4.82491 | − | 4.82491i | −0.282841 | − | 0.282841i | ||||
\(292\) | −8.26148 | + | 18.1290i | −0.483467 | + | 1.06092i | ||||
\(293\) | 13.1230 | − | 3.51630i | 0.766655 | − | 0.205425i | 0.145762 | − | 0.989320i | \(-0.453437\pi\) |
0.620893 | + | 0.783895i | \(0.286770\pi\) | |||||||
\(294\) | 0.941491 | + | 1.99620i | 0.0549089 | + | 0.116421i | ||||
\(295\) | −4.35964 | − | 2.51704i | −0.253828 | − | 0.146548i | ||||
\(296\) | −8.83860 | + | 15.7834i | −0.513733 | + | 0.917390i | ||||
\(297\) | 1.67176 | − | 6.23908i | 0.0970052 | − | 0.362028i | ||||
\(298\) | 21.0262 | + | 7.54897i | 1.21801 | + | 0.437300i | ||||
\(299\) | 11.2508 | − | 2.38827i | 0.650651 | − | 0.138117i | ||||
\(300\) | 4.19329 | − | 5.08704i | 0.242100 | − | 0.293700i | ||||
\(301\) | −4.54066 | − | 1.21667i | −0.261720 | − | 0.0701275i | ||||
\(302\) | 0.425579 | + | 2.35337i | 0.0244893 | + | 0.135421i | ||||
\(303\) | 3.98602 | − | 6.90398i | 0.228991 | − | 0.396623i | ||||
\(304\) | 13.6024 | − | 20.1678i | 0.780149 | − | 1.15670i | ||||
\(305\) | 0.917094 | + | 3.42264i | 0.0525127 | + | 0.195980i | ||||
\(306\) | 0.577008 | − | 6.94477i | 0.0329854 | − | 0.397006i | ||||
\(307\) | −20.1672 | + | 20.1672i | −1.15100 | + | 1.15100i | −0.164650 | + | 0.986352i | \(0.552650\pi\) |
−0.986352 | + | 0.164650i | \(0.947350\pi\) | |||||||
\(308\) | −35.4034 | + | 13.2375i | −2.01730 | + | 0.754275i | ||||
\(309\) | −11.8165 | + | 6.82229i | −0.672220 | + | 0.388106i | ||||
\(310\) | 2.64575 | − | 3.81391i | 0.150269 | − | 0.216615i | ||||
\(311\) | −10.4030 | −0.589902 | −0.294951 | − | 0.955512i | \(-0.595303\pi\) | ||||
−0.294951 | + | 0.955512i | \(0.595303\pi\) | |||||||
\(312\) | 0.402863 | − | 10.1901i | 0.0228076 | − | 0.576900i | ||||
\(313\) | 12.5246 | 0.707932 | 0.353966 | − | 0.935258i | \(-0.384833\pi\) | ||||
0.353966 | + | 0.935258i | \(0.384833\pi\) | |||||||
\(314\) | 5.13537 | − | 7.40274i | 0.289806 | − | 0.417761i | ||||
\(315\) | 3.30738 | − | 1.90952i | 0.186350 | − | 0.107589i | ||||
\(316\) | −6.10779 | + | 2.28372i | −0.343590 | + | 0.128470i | ||||
\(317\) | 5.42429 | − | 5.42429i | 0.304658 | − | 0.304658i | −0.538175 | − | 0.842833i | \(-0.680886\pi\) |
0.842833 | + | 0.538175i | \(0.180886\pi\) | |||||||
\(318\) | 0.257498 | − | 3.09921i | 0.0144398 | − | 0.173795i | ||||
\(319\) | 6.12774 | + | 22.8690i | 0.343087 | + | 1.28042i | ||||
\(320\) | −10.0120 | + | 2.96623i | −0.559687 | + | 0.165817i | ||||
\(321\) | −0.742339 | + | 1.28577i | −0.0414333 | + | 0.0717646i | ||||
\(322\) | 2.34884 | + | 12.9886i | 0.130896 | + | 0.723828i | ||||
\(323\) | −28.9464 | − | 7.75617i | −1.61062 | − | 0.431565i | ||||
\(324\) | −1.27213 | + | 1.54327i | −0.0706739 | + | 0.0857372i | ||||
\(325\) | −11.3022 | − | 3.67567i | −0.626934 | − | 0.203890i | ||||
\(326\) | −14.2194 | − | 5.10515i | −0.787538 | − | 0.282748i | ||||
\(327\) | −4.18305 | + | 15.6113i | −0.231323 | + | 0.863309i | ||||
\(328\) | 20.8675 | + | 11.6857i | 1.15222 | + | 0.645235i | ||||
\(329\) | 6.98473 | + | 4.03264i | 0.385081 | + | 0.222326i | ||||
\(330\) | 5.08614 | + | 10.7839i | 0.279983 | + | 0.593636i | ||||
\(331\) | −28.1779 | + | 7.55024i | −1.54880 | + | 0.414999i | −0.929096 | − | 0.369840i | \(-0.879413\pi\) |
−0.619701 | + | 0.784838i | \(0.712746\pi\) | |||||||
\(332\) | −1.84120 | + | 4.04033i | −0.101049 | + | 0.221742i | ||||
\(333\) | −4.52242 | − | 4.52242i | −0.247827 | − | 0.247827i | ||||
\(334\) | −7.92103 | + | 6.70576i | −0.433420 | + | 0.366923i | ||||
\(335\) | 3.92017 | + | 6.78993i | 0.214182 | + | 0.370974i | ||||
\(336\) | 11.6750 | + | 0.816004i | 0.636921 | + | 0.0445167i | ||||
\(337\) | 7.53714i | 0.410574i | 0.978702 | + | 0.205287i | \(0.0658128\pi\) | ||||
−0.978702 | + | 0.205287i | \(0.934187\pi\) | |||||||
\(338\) | −17.3601 | + | 6.05209i | −0.944264 | + | 0.329190i | ||||
\(339\) | − | 1.02344i | − | 0.0555857i | ||||||
\(340\) | 7.47018 | + | 10.4724i | 0.405127 | + | 0.567947i | ||||
\(341\) | −8.12109 | − | 14.0661i | −0.439782 | − | 0.761725i | ||||
\(342\) | 5.55711 | + | 6.56422i | 0.300494 | + | 0.354952i | ||||
\(343\) | −11.2534 | − | 11.2534i | −0.607629 | − | 0.607629i | ||||
\(344\) | −3.17089 | + | 3.25517i | −0.170963 | + | 0.175507i | ||||
\(345\) | 4.02185 | − | 1.07765i | 0.216529 | − | 0.0580189i | ||||
\(346\) | 17.1399 | − | 8.08386i | 0.921445 | − | 0.434591i | ||||
\(347\) | −4.13498 | − | 2.38733i | −0.221977 | − | 0.128159i | 0.384888 | − | 0.922963i | \(-0.374240\pi\) |
−0.606866 | + | 0.794805i | \(0.707573\pi\) | |||||||
\(348\) | 1.20983 | − | 7.23037i | 0.0648535 | − | 0.387589i | ||||
\(349\) | −7.81771 | + | 29.1761i | −0.418472 | + | 1.56176i | 0.359305 | + | 0.933220i | \(0.383014\pi\) |
−0.777778 | + | 0.628539i | \(0.783653\pi\) | |||||||
\(350\) | 4.60884 | − | 12.8370i | 0.246353 | − | 0.686167i | ||||
\(351\) | 3.42878 | + | 1.11510i | 0.183015 | + | 0.0595196i | ||||
\(352\) | −5.55689 | + | 36.1136i | −0.296183 | + | 1.92486i | ||||
\(353\) | 1.57297 | + | 0.421477i | 0.0837209 | + | 0.0224330i | 0.300436 | − | 0.953802i | \(-0.402868\pi\) |
−0.216715 | + | 0.976235i | \(0.569534\pi\) | |||||||
\(354\) | 5.36719 | − | 0.970592i | 0.285263 | − | 0.0515864i | ||||
\(355\) | 4.40272 | − | 7.62574i | 0.233672 | − | 0.404732i | ||||
\(356\) | 19.5153 | − | 1.87944i | 1.03431 | − | 0.0996101i | ||||
\(357\) | −3.73152 | − | 13.9262i | −0.197493 | − | 0.737055i | ||||
\(358\) | −28.5224 | − | 2.36979i | −1.50746 | − | 0.125247i | ||||
\(359\) | −7.48936 | + | 7.48936i | −0.395273 | + | 0.395273i | −0.876562 | − | 0.481289i | \(-0.840169\pi\) |
0.481289 | + | 0.876562i | \(0.340169\pi\) | |||||||
\(360\) | −0.0484164 | − | 3.69154i | −0.00255177 | − | 0.194561i | ||||
\(361\) | 15.5757 | − | 8.99261i | 0.819771 | − | 0.473295i | ||||
\(362\) | −8.38510 | − | 5.81685i | −0.440711 | − | 0.305727i | ||||
\(363\) | 30.7210 | 1.61243 | ||||||||
\(364\) | −6.33941 | − | 20.1238i | −0.332275 | − | 1.05477i | ||||
\(365\) | 13.0022 | 0.680566 | ||||||||
\(366\) | −3.15443 | − | 2.18827i | −0.164885 | − | 0.114382i | ||||
\(367\) | 7.58760 | − | 4.38070i | 0.396070 | − | 0.228671i | −0.288717 | − | 0.957414i | \(-0.593229\pi\) |
0.684787 | + | 0.728744i | \(0.259895\pi\) | |||||||
\(368\) | 12.0647 | + | 4.15377i | 0.628917 | + | 0.216530i | ||||
\(369\) | −5.97918 | + | 5.97918i | −0.311264 | + | 0.311264i | ||||
\(370\) | 11.7654 | + | 0.977531i | 0.611654 | + | 0.0508194i | ||||
\(371\) | −1.66525 | − | 6.21479i | −0.0864554 | − | 0.322656i | ||||
\(372\) | 0.482108 | + | 5.00602i | 0.0249962 | + | 0.259550i | ||||
\(373\) | −13.0127 | + | 22.5387i | −0.673774 | + | 1.16701i | 0.303052 | + | 0.952974i | \(0.401994\pi\) |
−0.976826 | + | 0.214036i | \(0.931339\pi\) | |||||||
\(374\) | 44.2936 | − | 8.00997i | 2.29037 | − | 0.414186i | ||||
\(375\) | −10.4599 | − | 2.80272i | −0.540146 | − | 0.144732i | ||||
\(376\) | 6.70043 | − | 3.98656i | 0.345548 | − | 0.205591i | ||||
\(377\) | −12.9279 | + | 2.74427i | −0.665820 | + | 0.141337i | ||||
\(378\) | −1.39820 | + | 3.89440i | −0.0719154 | + | 0.200306i | ||||
\(379\) | 2.74154 | − | 10.2316i | 0.140824 | − | 0.525561i | −0.859082 | − | 0.511837i | \(-0.828965\pi\) |
0.999906 | − | 0.0137231i | \(-0.00436832\pi\) | |||||||
\(380\) | −15.6584 | − | 2.62005i | −0.803260 | − | 0.134406i | ||||
\(381\) | 7.02958 | + | 4.05853i | 0.360136 | + | 0.207925i | ||||
\(382\) | −1.88188 | + | 0.887572i | −0.0962855 | + | 0.0454122i | ||||
\(383\) | 23.6735 | − | 6.34330i | 1.20966 | − | 0.324127i | 0.403032 | − | 0.915186i | \(-0.367956\pi\) |
0.806629 | + | 0.591059i | \(0.201290\pi\) | |||||||
\(384\) | 6.20268 | − | 9.46186i | 0.316529 | − | 0.482848i | ||||
\(385\) | 17.4428 | + | 17.4428i | 0.888966 | + | 0.888966i | ||||
\(386\) | −20.7262 | − | 24.4823i | −1.05493 | − | 1.24612i | ||||
\(387\) | −0.803327 | − | 1.39140i | −0.0408354 | − | 0.0707290i | ||||
\(388\) | −11.1100 | + | 7.92498i | −0.564026 | + | 0.402330i | ||||
\(389\) | − | 10.7574i | − | 0.545424i | −0.962096 | − | 0.272712i | \(-0.912079\pi\) | ||
0.962096 | − | 0.272712i | \(-0.0879206\pi\) | |||||||
\(390\) | −6.16068 | + | 2.51852i | −0.311958 | + | 0.127530i | ||||
\(391\) | − | 15.7188i | − | 0.794934i | ||||||
\(392\) | 4.24842 | − | 1.19829i | 0.214577 | − | 0.0605228i | ||||
\(393\) | 3.46831 | + | 6.00729i | 0.174953 | + | 0.303028i | ||||
\(394\) | 29.0135 | − | 24.5622i | 1.46168 | − | 1.23743i | ||||
\(395\) | 3.00922 | + | 3.00922i | 0.151410 | + | 0.151410i | ||||
\(396\) | −11.7553 | − | 5.35696i | −0.590725 | − | 0.269197i | ||||
\(397\) | 26.5578 | − | 7.11615i | 1.33290 | − | 0.357149i | 0.479104 | − | 0.877758i | \(-0.340962\pi\) |
0.853795 | + | 0.520609i | \(0.174295\pi\) | |||||||
\(398\) | 11.1715 | + | 23.6864i | 0.559976 | + | 1.18729i | ||||
\(399\) | 15.4098 | + | 8.89687i | 0.771457 | + | 0.445401i | ||||
\(400\) | −8.65053 | − | 9.95063i | −0.432526 | − | 0.497532i | ||||
\(401\) | 2.35576 | − | 8.79182i | 0.117641 | − | 0.439043i | −0.881830 | − | 0.471568i | \(-0.843688\pi\) |
0.999471 | + | 0.0325252i | \(0.0103549\pi\) | |||||||
\(402\) | −7.99507 | − | 2.87045i | −0.398758 | − | 0.143165i | ||||
\(403\) | 8.07941 | − | 4.11393i | 0.402464 | − | 0.204929i | ||||
\(404\) | −12.3030 | − | 10.1415i | −0.612097 | − | 0.504557i | ||||
\(405\) | 1.26079 | + | 0.337828i | 0.0626493 | + | 0.0167868i | ||||
\(406\) | −2.69896 | − | 14.9248i | −0.133947 | − | 0.740703i | ||||
\(407\) | 20.6554 | − | 35.7761i | 1.02385 | − | 1.77336i | ||||
\(408\) | −13.5086 | − | 3.43040i | −0.668778 | − | 0.169830i | ||||
\(409\) | 0.509778 | + | 1.90252i | 0.0252069 | + | 0.0940733i | 0.977383 | − | 0.211475i | \(-0.0678268\pi\) |
−0.952176 | + | 0.305549i | \(0.901160\pi\) | |||||||
\(410\) | 1.29241 | − | 15.5553i | 0.0638278 | − | 0.768220i | ||||
\(411\) | 5.88505 | − | 5.88505i | 0.290288 | − | 0.290288i | ||||
\(412\) | 9.55728 | + | 25.5608i | 0.470853 | + | 1.25929i | ||||
\(413\) | 9.77245 | − | 5.64213i | 0.480871 | − | 0.277631i | ||||
\(414\) | −2.57137 | + | 3.70668i | −0.126376 | + | 0.182173i | ||||
\(415\) | 2.89775 | 0.142245 | ||||||||
\(416\) | −19.9677 | − | 4.15804i | −0.978999 | − | 0.203865i | ||||
\(417\) | 10.6873 | 0.523361 | ||||||||
\(418\) | −31.6646 | + | 45.6451i | −1.54876 | + | 2.23257i | ||||
\(419\) | −13.5703 | + | 7.83484i | −0.662954 | + | 0.382757i | −0.793402 | − | 0.608698i | \(-0.791692\pi\) |
0.130447 | + | 0.991455i | \(0.458359\pi\) | |||||||
\(420\) | −2.67502 | − | 7.15432i | −0.130528 | − | 0.349095i | ||||
\(421\) | −1.01880 | + | 1.01880i | −0.0496532 | + | 0.0496532i | −0.731497 | − | 0.681844i | \(-0.761178\pi\) |
0.681844 | + | 0.731497i | \(0.261178\pi\) | |||||||
\(422\) | 1.85433 | − | 22.3184i | 0.0902675 | − | 1.08644i | ||||
\(423\) | 0.713447 | + | 2.66262i | 0.0346890 | + | 0.129461i | ||||
\(424\) | −6.02843 | − | 1.53087i | −0.292767 | − | 0.0743455i | ||||
\(425\) | −8.12138 | + | 14.0666i | −0.393945 | + | 0.682333i | ||||
\(426\) | 1.69773 | + | 9.38812i | 0.0822552 | + | 0.454856i | ||||
\(427\) | −7.67211 | − | 2.05574i | −0.371280 | − | 0.0994841i | ||||
\(428\) | 2.29126 | + | 1.88870i | 0.110752 | + | 0.0912940i | ||||
\(429\) | −1.22510 | + | 23.2566i | −0.0591486 | + | 1.12284i | ||||
\(430\) | 2.79132 | + | 1.00216i | 0.134609 | + | 0.0483284i | ||||
\(431\) | −4.35540 | + | 16.2546i | −0.209792 | + | 0.782955i | 0.778143 | + | 0.628087i | \(0.216162\pi\) |
−0.987935 | + | 0.154868i | \(0.950505\pi\) | |||||||
\(432\) | 2.62434 | + | 3.01875i | 0.126263 | + | 0.145240i | ||||
\(433\) | −8.76783 | − | 5.06211i | −0.421355 | − | 0.243269i | 0.274302 | − | 0.961644i | \(-0.411553\pi\) |
−0.695657 | + | 0.718374i | \(0.744887\pi\) | |||||||
\(434\) | 4.43846 | + | 9.41068i | 0.213053 | + | 0.451727i | ||||
\(435\) | −4.62137 | + | 1.23829i | −0.221578 | + | 0.0593715i | ||||
\(436\) | 29.4139 | + | 13.4041i | 1.40867 | + | 0.641940i | ||||
\(437\) | 13.7177 | + | 13.7177i | 0.656207 | + | 0.656207i | ||||
\(438\) | −10.7519 | + | 9.10232i | −0.513746 | + | 0.434925i | ||||
\(439\) | 2.77803 | + | 4.81169i | 0.132588 | + | 0.229650i | 0.924674 | − | 0.380761i | \(-0.124338\pi\) |
−0.792085 | + | 0.610410i | \(0.791005\pi\) | |||||||
\(440\) | 22.9509 | − | 6.47343i | 1.09414 | − | 0.308609i | ||||
\(441\) | 1.56065i | 0.0743165i | ||||||||
\(442\) | 3.16437 | + | 24.9259i | 0.150514 | + | 1.18561i | ||||
\(443\) | − | 20.6130i | − | 0.979354i | −0.871904 | − | 0.489677i | \(-0.837115\pi\) | ||
0.871904 | − | 0.489677i | \(-0.162885\pi\) | |||||||
\(444\) | −10.4135 | + | 7.42813i | −0.494203 | + | 0.352524i | ||||
\(445\) | −6.39766 | − | 11.0811i | −0.303278 | − | 0.525293i | ||||
\(446\) | −10.7471 | − | 12.6948i | −0.508891 | − | 0.601116i | ||||
\(447\) | 11.1701 | + | 11.1701i | 0.528329 | + | 0.528329i | ||||
\(448\) | 5.46310 | − | 22.7604i | 0.258107 | − | 1.07533i | ||||
\(449\) | −31.8553 | + | 8.53560i | −1.50334 | + | 0.402820i | −0.914218 | − | 0.405222i | \(-0.867194\pi\) |
−0.589125 | + | 0.808042i | \(0.700528\pi\) | |||||||
\(450\) | 4.21622 | − | 1.98854i | 0.198755 | − | 0.0937408i | ||||
\(451\) | −47.3004 | − | 27.3089i | −2.22729 | − | 1.28592i | ||||
\(452\) | −2.01882 | − | 0.337800i | −0.0949571 | − | 0.0158888i | ||||
\(453\) | −0.437682 | + | 1.63345i | −0.0205641 | + | 0.0767463i | ||||
\(454\) | 9.77291 | − | 27.2205i | 0.458665 | − | 1.27752i | ||||
\(455\) | −10.2354 | + | 9.21098i | −0.479842 | + | 0.431818i | ||||
\(456\) | 14.7826 | − | 8.79523i | 0.692259 | − | 0.411874i | ||||
\(457\) | −12.5118 | − | 3.35252i | −0.585276 | − | 0.156824i | −0.0459830 | − | 0.998942i | \(-0.514642\pi\) |
−0.539294 | + | 0.842118i | \(0.681309\pi\) | |||||||
\(458\) | −4.60863 | + | 0.833416i | −0.215347 | + | 0.0389430i | ||||
\(459\) | 2.46381 | − | 4.26744i | 0.115001 | − | 0.199187i | ||||
\(460\) | −0.798289 | − | 8.28911i | −0.0372204 | − | 0.386482i | ||||
\(461\) | −7.85478 | − | 29.3145i | −0.365834 | − | 1.36531i | −0.866287 | − | 0.499547i | \(-0.833500\pi\) |
0.500453 | − | 0.865764i | \(-0.333167\pi\) | |||||||
\(462\) | −26.6349 | − | 2.21297i | −1.23917 | − | 0.102957i | ||||
\(463\) | −5.53376 | + | 5.53376i | −0.257175 | + | 0.257175i | −0.823904 | − | 0.566729i | \(-0.808209\pi\) |
0.566729 | + | 0.823904i | \(0.308209\pi\) | |||||||
\(464\) | −13.8631 | − | 4.77295i | −0.643580 | − | 0.221579i | ||||
\(465\) | 2.84248 | − | 1.64111i | 0.131817 | − | 0.0761046i | ||||
\(466\) | −5.60973 | − | 3.89154i | −0.259866 | − | 0.180272i | ||||
\(467\) | −6.57406 | −0.304211 | −0.152106 | − | 0.988364i | \(-0.548605\pi\) | ||||
−0.152106 | + | 0.988364i | \(0.548605\pi\) | |||||||
\(468\) | 3.33133 | − | 6.39548i | 0.153991 | − | 0.295631i | ||||
\(469\) | −17.5747 | −0.811525 | ||||||||
\(470\) | −4.18089 | − | 2.90033i | −0.192850 | − | 0.133782i | ||||
\(471\) | 5.51722 | − | 3.18537i | 0.254220 | − | 0.146774i | ||||
\(472\) | −0.143058 | − | 10.9076i | −0.00658478 | − | 0.502061i | ||||
\(473\) | 7.33811 | − | 7.33811i | 0.337407 | − | 0.337407i | ||||
\(474\) | −4.59505 | − | 0.381781i | −0.211058 | − | 0.0175358i | ||||
\(475\) | −5.18840 | − | 19.3634i | −0.238060 | − | 0.888453i | ||||
\(476\) | −28.7022 | + | 2.76419i | −1.31556 | + | 0.126696i | ||||
\(477\) | 1.09951 | − | 1.90441i | 0.0503431 | − | 0.0871969i | ||||
\(478\) | −11.5212 | + | 2.08347i | −0.526966 | + | 0.0952955i | ||||
\(479\) | 36.2433 | + | 9.71135i | 1.65600 | + | 0.443723i | 0.961283 | − | 0.275564i | \(-0.0888645\pi\) |
0.694714 | + | 0.719287i | \(0.255531\pi\) | |||||||
\(480\) | −7.29783 | − | 1.12293i | −0.333099 | − | 0.0512547i | ||||
\(481\) | 19.3363 | + | 12.5645i | 0.881658 | + | 0.572893i | ||||
\(482\) | 4.13844 | − | 11.5268i | 0.188501 | − | 0.525032i | ||||
\(483\) | −2.41564 | + | 9.01529i | −0.109915 | + | 0.410210i | ||||
\(484\) | 10.1398 | − | 60.5994i | 0.460902 | − | 2.75452i | ||||
\(485\) | 7.71320 | + | 4.45322i | 0.350238 | + | 0.202210i | ||||
\(486\) | −1.27909 | + | 0.603270i | −0.0580206 | + | 0.0273649i | ||||
\(487\) | 41.0959 | − | 11.0116i | 1.86223 | − | 0.498984i | 0.862261 | − | 0.506465i | \(-0.169048\pi\) |
0.999972 | + | 0.00748077i | \(0.00238123\pi\) | |||||||
\(488\) | −5.35768 | + | 5.50009i | −0.242531 | + | 0.248977i | ||||
\(489\) | −7.55403 | − | 7.55403i | −0.341605 | − | 0.341605i | ||||
\(490\) | −1.86140 | − | 2.19874i | −0.0840895 | − | 0.0993288i | ||||
\(491\) | 8.72998 | + | 15.1208i | 0.393979 | + | 0.682391i | 0.992970 | − | 0.118364i | \(-0.0377651\pi\) |
−0.598992 | + | 0.800755i | \(0.704432\pi\) | |||||||
\(492\) | 9.82089 | + | 13.7679i | 0.442760 | + | 0.620705i | ||||
\(493\) | 18.0619i | 0.813467i | ||||||||
\(494\) | −24.5143 | − | 18.9912i | −1.10295 | − | 0.854455i | ||||
\(495\) | 8.43096i | 0.378943i | ||||||||
\(496\) | 10.0339 | + | 0.701305i | 0.450535 | + | 0.0314895i | ||||
\(497\) | 9.86903 | + | 17.0937i | 0.442687 | + | 0.766756i | ||||
\(498\) | −2.39624 | + | 2.02860i | −0.107378 | + | 0.0909036i | ||||
\(499\) | 25.7413 | + | 25.7413i | 1.15234 | + | 1.15234i | 0.986083 | + | 0.166254i | \(0.0531673\pi\) |
0.166254 | + | 0.986083i | \(0.446833\pi\) | |||||||
\(500\) | −8.98099 | + | 19.7078i | −0.401642 | + | 0.881362i | ||||
\(501\) | −7.08854 | + | 1.89937i | −0.316693 | + | 0.0848575i | ||||
\(502\) | 1.21104 | + | 2.56771i | 0.0540512 | + | 0.114603i | ||||
\(503\) | −0.245467 | − | 0.141721i | −0.0109448 | − | 0.00631901i | 0.494518 | − | 0.869168i | \(-0.335345\pi\) |
−0.505462 | + | 0.862849i | \(0.668678\pi\) | |||||||
\(504\) | 7.22051 | + | 4.04344i | 0.321627 | + | 0.180109i | ||||
\(505\) | −2.69318 | + | 10.0511i | −0.119845 | + | 0.447267i | ||||
\(506\) | −27.4250 | − | 9.84633i | −1.21919 | − | 0.437723i | ||||
\(507\) | −12.9281 | − | 1.36583i | −0.574155 | − | 0.0606586i | ||||
\(508\) | 10.3260 | − | 12.5268i | 0.458141 | − | 0.555788i | ||||
\(509\) | 13.2375 | + | 3.54698i | 0.586742 | + | 0.157217i | 0.539964 | − | 0.841688i | \(-0.318438\pi\) |
0.0467780 | + | 0.998905i | \(0.485105\pi\) | |||||||
\(510\) | 1.61865 | + | 8.95085i | 0.0716752 | + | 0.396350i | ||||
\(511\) | −14.5727 | + | 25.2407i | −0.644658 | + | 1.11658i | ||||
\(512\) | −16.6170 | − | 15.3583i | −0.734373 | − | 0.678746i | ||||
\(513\) | 1.57402 | + | 5.87432i | 0.0694947 | + | 0.259358i | ||||
\(514\) | −1.21421 | + | 14.6140i | −0.0535565 | + | 0.644597i | ||||
\(515\) | 12.5935 | − | 12.5935i | 0.554934 | − | 0.554934i | ||||
\(516\) | −3.00980 | + | 1.12537i | −0.132499 | + | 0.0495418i | ||||
\(517\) | −15.4196 | + | 8.90252i | −0.678154 | + | 0.391532i | ||||
\(518\) | −15.0842 | + | 21.7441i | −0.662760 | + | 0.955381i | ||||
\(519\) | 13.4001 | 0.588198 | ||||||||
\(520\) | 2.93457 | + | 12.9837i | 0.128689 | + | 0.569372i | ||||
\(521\) | 30.0491 | 1.31647 | 0.658237 | − | 0.752810i | \(-0.271302\pi\) | ||||
0.658237 | + | 0.752810i | \(0.271302\pi\) | |||||||
\(522\) | 2.95467 | − | 4.25921i | 0.129322 | − | 0.186421i | ||||
\(523\) | −15.8089 | + | 9.12729i | −0.691276 | + | 0.399109i | −0.804090 | − | 0.594508i | \(-0.797347\pi\) |
0.112814 | + | 0.993616i | \(0.464014\pi\) | |||||||
\(524\) | 12.9946 | − | 4.85872i | 0.567671 | − | 0.212254i | ||||
\(525\) | 6.81964 | − | 6.81964i | 0.297634 | − | 0.297634i | ||||
\(526\) | 1.58914 | − | 19.1266i | 0.0692897 | − | 0.833959i | ||||
\(527\) | −3.20701 | − | 11.9687i | −0.139700 | − | 0.521366i | ||||
\(528\) | −14.4470 | + | 21.4201i | −0.628725 | + | 0.932189i | ||||
\(529\) | 6.41214 | − | 11.1062i | 0.278789 | − | 0.482876i | ||||
\(530\) | 0.722348 | + | 3.99445i | 0.0313768 | + | 0.173508i | ||||
\(531\) | 3.72532 | + | 0.998196i | 0.161665 | + | 0.0433180i | ||||
\(532\) | 22.6360 | − | 27.4606i | 0.981394 | − | 1.19057i | ||||
\(533\) | 16.6118 | − | 25.5649i | 0.719538 | − | 1.10734i | ||||
\(534\) | 13.0478 | + | 4.68453i | 0.564635 | + | 0.202719i | ||||
\(535\) | 0.501566 | − | 1.87187i | 0.0216846 | − | 0.0809280i | ||||
\(536\) | −8.30105 | + | 14.8235i | −0.358551 | + | 0.640276i | ||||
\(537\) | −17.5265 | − | 10.1189i | −0.756326 | − | 0.436665i | ||||
\(538\) | −5.18196 | − | 10.9871i | −0.223410 | − | 0.473687i | ||||
\(539\) | −9.73701 | + | 2.60902i | −0.419403 | + | 0.112379i | ||||
\(540\) | 1.08253 | − | 2.37551i | 0.0465848 | − | 0.102225i | ||||
\(541\) | 11.4509 | + | 11.4509i | 0.492314 | + | 0.492314i | 0.909035 | − | 0.416720i | \(-0.136821\pi\) |
−0.416720 | + | 0.909035i | \(0.636821\pi\) | |||||||
\(542\) | 22.4669 | − | 19.0199i | 0.965035 | − | 0.816976i | ||||
\(543\) | −3.60807 | − | 6.24937i | −0.154837 | − | 0.268186i | ||||
\(544\) | −11.2254 | + | 25.5146i | −0.481286 | + | 1.09393i | ||||
\(545\) | − | 21.0958i | − | 0.903646i | ||||||
\(546\) | 2.01570 | − | 14.7822i | 0.0862639 | − | 0.632620i | ||||
\(547\) | − | 46.6062i | − | 1.99274i | −0.0851464 | − | 0.996368i | \(-0.527136\pi\) | ||
0.0851464 | − | 0.996368i | \(-0.472864\pi\) | |||||||
\(548\) | −9.66628 | − | 13.5512i | −0.412923 | − | 0.578876i | ||||
\(549\) | −1.35734 | − | 2.35098i | −0.0579298 | − | 0.100337i | ||||
\(550\) | 19.4552 | + | 22.9810i | 0.829572 | + | 0.979914i | ||||
\(551\) | −15.7625 | − | 15.7625i | −0.671506 | − | 0.671506i | ||||
\(552\) | 6.46300 | + | 6.29566i | 0.275084 | + | 0.267961i | ||||
\(553\) | −9.21438 | + | 2.46899i | −0.391835 | + | 0.104992i | ||||
\(554\) | −37.0661 | + | 17.4819i | −1.57479 | + | 0.742734i | ||||
\(555\) | 7.22963 | + | 4.17403i | 0.306881 | + | 0.177178i | ||||
\(556\) | 3.52749 | − | 21.0816i | 0.149599 | − | 0.894058i | ||||
\(557\) | −9.72648 | + | 36.2997i | −0.412124 | + | 1.53807i | 0.378403 | + | 0.925641i | \(0.376473\pi\) |
−0.790527 | + | 0.612427i | \(0.790193\pi\) | |||||||
\(558\) | −1.20166 | + | 3.34699i | −0.0508704 | + | 0.141689i | ||||
\(559\) | 3.87503 | + | 4.30599i | 0.163896 | + | 0.182124i | ||||
\(560\) | −14.9954 | + | 2.91532i | −0.633670 | + | 0.123195i | ||||
\(561\) | 30.7438 | + | 8.23778i | 1.29800 | + | 0.347799i | ||||
\(562\) | −20.9713 | + | 3.79241i | −0.884622 | + | 0.159973i | ||||
\(563\) | −13.4868 | + | 23.3598i | −0.568401 | + | 0.984499i | 0.428324 | + | 0.903625i | \(0.359104\pi\) |
−0.996724 | + | 0.0808737i | \(0.974229\pi\) | |||||||
\(564\) | 5.48771 | − | 0.528498i | 0.231074 | − | 0.0222538i | ||||
\(565\) | 0.345747 | + | 1.29035i | 0.0145457 | + | 0.0542853i | ||||
\(566\) | 15.6897 | + | 1.30358i | 0.659488 | + | 0.0547938i | ||||
\(567\) | −2.06889 | + | 2.06889i | −0.0868854 | + | 0.0868854i | ||||
\(568\) | 19.0791 | − | 0.250233i | 0.800543 | − | 0.0104995i | ||||
\(569\) | 0.207790 | − | 0.119968i | 0.00871103 | − | 0.00502931i | −0.495638 | − | 0.868529i | \(-0.665066\pi\) |
0.504349 | + | 0.863500i | \(0.331732\pi\) | |||||||
\(570\) | −9.22395 | − | 6.39877i | −0.386349 | − | 0.268015i | ||||
\(571\) | −20.0858 | −0.840566 | −0.420283 | − | 0.907393i | \(-0.638069\pi\) | ||||
−0.420283 | + | 0.907393i | \(0.638069\pi\) | |||||||
\(572\) | 45.4712 | + | 10.0928i | 1.90124 | + | 0.422000i | ||||
\(573\) | −1.47127 | −0.0614632 | ||||||||
\(574\) | 28.7483 | + | 19.9431i | 1.19993 | + | 0.832408i | ||||
\(575\) | 9.10618 | − | 5.25746i | 0.379754 | − | 0.219251i | ||||
\(576\) | 6.82091 | − | 4.18033i | 0.284205 | − | 0.174180i | ||||
\(577\) | 3.70927 | − | 3.70927i | 0.154419 | − | 0.154419i | −0.625669 | − | 0.780088i | \(-0.715174\pi\) |
0.780088 | + | 0.625669i | \(0.215174\pi\) | |||||||
\(578\) | 10.2621 | + | 0.852628i | 0.426846 | + | 0.0354646i | ||||
\(579\) | −5.87057 | − | 21.9093i | −0.243973 | − | 0.910518i | ||||
\(580\) | 0.917284 | + | 9.52471i | 0.0380882 | + | 0.395492i | ||||
\(581\) | −3.24776 | + | 5.62529i | −0.134740 | + | 0.233376i | ||||
\(582\) | −9.49580 | + | 1.71720i | −0.393613 | + | 0.0711803i | ||||
\(583\) | 13.7199 | + | 3.67623i | 0.568219 | + | 0.152254i | ||||
\(584\) | 14.4062 | + | 24.2133i | 0.596133 | + | 1.00195i | ||||
\(585\) | −4.69970 | − | 0.247569i | −0.194309 | − | 0.0102357i | ||||
\(586\) | 6.49239 | − | 18.0833i | 0.268198 | − | 0.747014i | ||||
\(587\) | −8.29145 | + | 30.9441i | −0.342225 | + | 1.27720i | 0.553596 | + | 0.832785i | \(0.313255\pi\) |
−0.895821 | + | 0.444415i | \(0.853411\pi\) | |||||||
\(588\) | 3.07850 | + | 0.515111i | 0.126955 | + | 0.0212428i | ||||
\(589\) | 13.2438 | + | 7.64630i | 0.545701 | + | 0.315060i | ||||
\(590\) | −6.43902 | + | 3.03691i | −0.265090 | + | 0.125027i | ||||
\(591\) | 25.9643 | − | 6.95710i | 1.06803 | − | 0.286177i | ||||
\(592\) | 11.2155 | + | 22.9932i | 0.460952 | + | 0.945013i | ||||
\(593\) | 11.3544 | + | 11.3544i | 0.466270 | + | 0.466270i | 0.900704 | − | 0.434434i | \(-0.143051\pi\) |
−0.434434 | + | 0.900704i | \(0.643051\pi\) | |||||||
\(594\) | −5.90218 | − | 6.97182i | −0.242169 | − | 0.286057i | ||||
\(595\) | 9.40936 | + | 16.2975i | 0.385746 | + | 0.668132i | ||||
\(596\) | 25.7208 | − | 18.3471i | 1.05356 | − | 0.751526i | ||||
\(597\) | 18.5182i | 0.757900i | ||||||||
\(598\) | 6.29399 | − | 14.9985i | 0.257380 | − | 0.613334i | ||||
\(599\) | 21.1939i | 0.865959i | 0.901404 | + | 0.432979i | \(0.142538\pi\) | ||||
−0.901404 | + | 0.432979i | \(0.857462\pi\) | |||||||
\(600\) | −2.53093 | − | 8.97317i | −0.103325 | − | 0.366328i | ||||
\(601\) | −19.0073 | − | 32.9217i | −0.775326 | − | 1.34290i | −0.934611 | − | 0.355671i | \(-0.884252\pi\) |
0.159285 | − | 0.987233i | \(-0.449081\pi\) | |||||||
\(602\) | −5.07393 | + | 4.29547i | −0.206798 | + | 0.175070i | ||||
\(603\) | −4.24737 | − | 4.24737i | −0.172966 | − | 0.172966i | ||||
\(604\) | 3.07765 | + | 1.40250i | 0.125228 | + | 0.0570670i | ||||
\(605\) | −38.7328 | + | 10.3784i | −1.57471 | + | 0.421942i | ||||
\(606\) | −4.80929 | − | 10.1969i | −0.195364 | − | 0.414222i | ||||
\(607\) | −38.9901 | − | 22.5109i | −1.58256 | − | 0.913690i | −0.994485 | − | 0.104883i | \(-0.966553\pi\) |
−0.588074 | − | 0.808807i | \(-0.700113\pi\) | |||||||
\(608\) | −12.4701 | − | 32.0628i | −0.505728 | − | 1.30032i | ||||
\(609\) | 2.77572 | − | 10.3591i | 0.112478 | − | 0.419774i | ||||
\(610\) | 4.71634 | + | 1.69329i | 0.190959 | + | 0.0685595i | ||||
\(611\) | −4.50977 | − | 8.85682i | −0.182446 | − | 0.358309i | ||||
\(612\) | −7.60464 | − | 6.26857i | −0.307399 | − | 0.253392i | ||||
\(613\) | −4.06482 | − | 1.08917i | −0.164177 | − | 0.0439910i | 0.175794 | − | 0.984427i | \(-0.443751\pi\) |
−0.339971 | + | 0.940436i | \(0.610417\pi\) | |||||||
\(614\) | 7.17757 | + | 39.6906i | 0.289663 | + | 1.60178i | ||||
\(615\) | 5.51857 | − | 9.55845i | 0.222530 | − | 0.385434i | ||||
\(616\) | −13.1564 | + | 51.8090i | −0.530088 | + | 2.08744i | ||||
\(617\) | 5.97214 | + | 22.2883i | 0.240429 | + | 0.897295i | 0.975626 | + | 0.219441i | \(0.0704233\pi\) |
−0.735196 | + | 0.677854i | \(0.762910\pi\) | |||||||
\(618\) | −1.59774 | + | 19.2301i | −0.0642704 | + | 0.773547i | ||||
\(619\) | −4.58670 | + | 4.58670i | −0.184355 | + | 0.184355i | −0.793251 | − | 0.608895i | \(-0.791613\pi\) |
0.608895 | + | 0.793251i | \(0.291613\pi\) | |||||||
\(620\) | −2.29901 | − | 6.14869i | −0.0923307 | − | 0.246937i | ||||
\(621\) | −2.76257 | + | 1.59497i | −0.110858 | + | 0.0640040i | ||||
\(622\) | −8.38576 | + | 12.0882i | −0.336238 | + | 0.484694i | ||||
\(623\) | 28.6817 | 1.14911 | ||||||||
\(624\) | −11.5160 | − | 8.68222i | −0.461010 | − | 0.347567i | ||||
\(625\) | −2.34679 | −0.0938715 | ||||||||
\(626\) | 10.0959 | − | 14.5535i | 0.403514 | − | 0.581674i | ||||
\(627\) | −34.0190 | + | 19.6409i | −1.35859 | + | 0.784382i | ||||
\(628\) | −4.46236 | − | 11.9345i | −0.178067 | − | 0.476239i | ||||
\(629\) | 22.2847 | − | 22.2847i | 0.888550 | − | 0.888550i | ||||
\(630\) | 0.447197 | − | 5.38238i | 0.0178167 | − | 0.214439i | ||||
\(631\) | 2.41432 | + | 9.01037i | 0.0961126 | + | 0.358697i | 0.997186 | − | 0.0749700i | \(-0.0238861\pi\) |
−0.901073 | + | 0.433667i | \(0.857219\pi\) | |||||||
\(632\) | −2.26975 | + | 8.93808i | −0.0902857 | + | 0.355538i | ||||
\(633\) | 7.91795 | − | 13.7143i | 0.314710 | − | 0.545094i | ||||
\(634\) | −1.93052 | − | 10.6754i | −0.0766708 | − | 0.423975i | ||||
\(635\) | −10.2339 | − | 2.74217i | −0.406121 | − | 0.108820i | ||||
\(636\) | −3.39368 | − | 2.79744i | −0.134568 | − | 0.110926i | ||||
\(637\) | −1.16844 | − | 5.50434i | −0.0462951 | − | 0.218090i | ||||
\(638\) | 31.5131 | + | 11.3141i | 1.24762 | + | 0.447928i | ||||
\(639\) | −1.74601 | + | 6.51621i | −0.0690712 | + | 0.257777i | ||||
\(640\) | −4.62381 | + | 14.0249i | −0.182772 | + | 0.554382i | ||||
\(641\) | −37.5688 | − | 21.6904i | −1.48388 | − | 0.856719i | −0.484048 | − | 0.875042i | \(-0.660834\pi\) |
−0.999832 | + | 0.0183230i | \(0.994167\pi\) | |||||||
\(642\) | 0.895661 | + | 1.89903i | 0.0353489 | + | 0.0749489i | ||||
\(643\) | −28.1799 | + | 7.55079i | −1.11131 | + | 0.297774i | −0.767361 | − | 0.641215i | \(-0.778431\pi\) |
−0.343947 | + | 0.938989i | \(0.611764\pi\) | |||||||
\(644\) | 16.9860 | + | 7.74064i | 0.669344 | + | 0.305024i | ||||
\(645\) | 1.48288 | + | 1.48288i | 0.0583885 | + | 0.0583885i | ||||
\(646\) | −32.3459 | + | 27.3833i | −1.27263 | + | 1.07738i | ||||
\(647\) | 3.93858 | + | 6.82182i | 0.154842 | + | 0.268194i | 0.933001 | − | 0.359873i | \(-0.117180\pi\) |
−0.778160 | + | 0.628066i | \(0.783847\pi\) | |||||||
\(648\) | 0.767817 | + | 2.72222i | 0.0301627 | + | 0.106939i | ||||
\(649\) | 24.9113i | 0.977855i | ||||||||
\(650\) | −13.3817 | + | 10.1701i | −0.524872 | + | 0.398906i | ||||
\(651\) | 7.35734i | 0.288357i | ||||||||
\(652\) | −17.3942 | + | 12.4076i | −0.681209 | + | 0.485919i | ||||
\(653\) | −20.5890 | − | 35.6613i | −0.805712 | − | 1.39553i | −0.915810 | − | 0.401613i | \(-0.868450\pi\) |
0.110098 | − | 0.993921i | \(-0.464884\pi\) | |||||||
\(654\) | 14.7683 | + | 17.4448i | 0.577488 | + | 0.682145i | ||||
\(655\) | −6.40225 | − | 6.40225i | −0.250157 | − | 0.250157i | ||||
\(656\) | 30.3997 | − | 14.8282i | 1.18691 | − | 0.578944i | ||||
\(657\) | −9.62189 | + | 2.57818i | −0.375386 | + | 0.100584i | ||||
\(658\) | 10.3162 | − | 4.86553i | 0.402167 | − | 0.189678i | ||||
\(659\) | 9.52527 | + | 5.49942i | 0.371052 | + | 0.214227i | 0.673918 | − | 0.738806i | \(-0.264610\pi\) |
−0.302866 | + | 0.953033i | \(0.597943\pi\) | |||||||
\(660\) | 16.6307 | + | 2.78274i | 0.647350 | + | 0.108318i | ||||
\(661\) | 10.4604 | − | 39.0388i | 0.406863 | − | 1.51843i | −0.393730 | − | 0.919226i | \(-0.628816\pi\) |
0.800593 | − | 0.599208i | \(-0.204518\pi\) | |||||||
\(662\) | −13.9405 | + | 38.8286i | −0.541814 | + | 1.50912i | ||||
\(663\) | −5.49478 | + | 16.8957i | −0.213400 | + | 0.656176i | ||||
\(664\) | 3.21065 | + | 5.39632i | 0.124598 | + | 0.209418i | ||||
\(665\) | −22.4342 | − | 6.01123i | −0.869962 | − | 0.233106i | ||||
\(666\) | −8.90047 | + | 1.60954i | −0.344886 | + | 0.0623685i | ||||
\(667\) | 5.84628 | − | 10.1260i | 0.226369 | − | 0.392082i | ||||
\(668\) | 1.40699 | + | 14.6096i | 0.0544380 | + | 0.565262i | ||||
\(669\) | −3.04406 | − | 11.3606i | −0.117690 | − | 0.439225i | ||||
\(670\) | 11.0498 | + | 0.918079i | 0.426893 | + | 0.0354685i | ||||
\(671\) | 12.3988 | − | 12.3988i | 0.478651 | − | 0.478651i | ||||
\(672\) | 10.3592 | − | 12.9084i | 0.399616 | − | 0.497953i | ||||
\(673\) | 24.9962 | − | 14.4316i | 0.963534 | − | 0.556297i | 0.0662751 | − | 0.997801i | \(-0.478888\pi\) |
0.897259 | + | 0.441505i | \(0.145555\pi\) | |||||||
\(674\) | 8.75809 | + | 6.07559i | 0.337349 | + | 0.234023i | ||||
\(675\) | 3.29627 | 0.126874 | ||||||||
\(676\) | −6.96127 | + | 25.0508i | −0.267741 | + | 0.963491i | ||||
\(677\) | −1.10159 | −0.0423376 | −0.0211688 | − | 0.999776i | \(-0.506739\pi\) | ||||
−0.0211688 | + | 0.999776i | \(0.506739\pi\) | |||||||
\(678\) | −1.18923 | − | 0.824983i | −0.0456721 | − | 0.0316833i | ||||
\(679\) | −17.2897 | + | 9.98222i | −0.663518 | + | 0.383083i | ||||
\(680\) | 18.1905 | − | 0.238577i | 0.697573 | − | 0.00914902i | ||||
\(681\) | 14.4609 | − | 14.4609i | 0.554141 | − | 0.554141i | ||||
\(682\) | −22.8910 | − | 1.90191i | −0.876543 | − | 0.0728279i | ||||
\(683\) | 6.23217 | + | 23.2588i | 0.238467 | + | 0.889973i | 0.976555 | + | 0.215268i | \(0.0690624\pi\) |
−0.738088 | + | 0.674705i | \(0.764271\pi\) | |||||||
\(684\) | 12.1071 | − | 1.16598i | 0.462926 | − | 0.0445824i | ||||
\(685\) | −5.43169 | + | 9.40797i | −0.207534 | + | 0.359460i | ||||
\(686\) | −22.1477 | + | 4.00514i | −0.845602 | + | 0.152917i | ||||
\(687\) | −3.19881 | − | 0.857118i | −0.122042 | − | 0.0327011i | ||||
\(688\) | 1.22646 | + | 6.30850i | 0.0467585 | + | 0.240509i | ||||
\(689\) | −2.45213 | + | 7.53997i | −0.0934186 | + | 0.287250i | ||||
\(690\) | 1.98974 | − | 5.54204i | 0.0757483 | − | 0.210982i | ||||
\(691\) | 5.93120 | − | 22.1355i | 0.225633 | − | 0.842075i | −0.756516 | − | 0.653975i | \(-0.773100\pi\) |
0.982150 | − | 0.188101i | \(-0.0602331\pi\) | |||||||
\(692\) | 4.42286 | − | 26.4327i | 0.168132 | − | 1.00482i | ||||
\(693\) | −16.3667 | − | 9.44932i | −0.621719 | − | 0.358950i | ||||
\(694\) | −6.10722 | + | 2.88041i | −0.231827 | + | 0.109339i | ||||
\(695\) | −13.4745 | + | 3.61048i | −0.511117 | + | 0.136953i | ||||
\(696\) | −7.42640 | − | 7.23412i | −0.281497 | − | 0.274209i | ||||
\(697\) | −29.4631 | − | 29.4631i | −1.11599 | − | 1.11599i | ||||
\(698\) | 27.6006 | + | 32.6026i | 1.04470 | + | 1.23403i | ||||
\(699\) | −2.41384 | − | 4.18090i | −0.0913000 | − | 0.158136i | ||||
\(700\) | −11.2014 | − | 15.7032i | −0.423371 | − | 0.593524i | ||||
\(701\) | 50.0647i | 1.89092i | 0.325741 | + | 0.945459i | \(0.394386\pi\) | ||||
−0.325741 | + | 0.945459i | \(0.605614\pi\) | |||||||
\(702\) | 4.05963 | − | 3.08535i | 0.153221 | − | 0.116449i | ||||
\(703\) | 38.8955i | 1.46697i | ||||||||
\(704\) | 37.4843 | + | 35.5678i | 1.41274 | + | 1.34051i | ||||
\(705\) | −1.79902 | − | 3.11599i | −0.0677549 | − | 0.117355i | ||||
\(706\) | 1.75771 | − | 1.48803i | 0.0661522 | − | 0.0560029i | ||||
\(707\) | −16.4933 | − | 16.4933i | −0.620294 | − | 0.620294i | ||||
\(708\) | 3.19861 | − | 7.01901i | 0.120211 | − | 0.263791i | ||||
\(709\) | 15.0600 | − | 4.03531i | 0.565590 | − | 0.151549i | 0.0353166 | − | 0.999376i | \(-0.488756\pi\) |
0.530273 | + | 0.847827i | \(0.322089\pi\) | |||||||
\(710\) | −5.31206 | − | 11.2629i | −0.199358 | − | 0.422690i | ||||
\(711\) | −2.82358 | − | 1.63019i | −0.105892 | − | 0.0611370i | ||||
\(712\) | 13.5472 | − | 24.1917i | 0.507702 | − | 0.906620i | ||||
\(713\) | −2.07609 | + | 7.74807i | −0.0777502 | + | 0.290168i | ||||
\(714\) | −19.1901 | − | 6.88977i | −0.718171 | − | 0.257843i | ||||
\(715\) | −6.31215 | − | 29.7357i | −0.236061 | − | 1.11205i | ||||
\(716\) | −25.7453 | + | 31.2325i | −0.962145 | + | 1.16721i | ||||
\(717\) | −7.99674 | − | 2.14272i | −0.298644 | − | 0.0800213i | ||||
\(718\) | 2.66549 | + | 14.7396i | 0.0994751 | + | 0.550078i | ||||
\(719\) | 17.7882 | − | 30.8101i | 0.663389 | − | 1.14902i | −0.316330 | − | 0.948649i | \(-0.602451\pi\) |
0.979719 | − | 0.200374i | \(-0.0642159\pi\) | |||||||
\(720\) | −4.32856 | − | 2.91944i | −0.161316 | − | 0.108801i | ||||
\(721\) | 10.3326 | + | 38.5618i | 0.384806 | + | 1.43612i | ||||
\(722\) | 2.10601 | − | 25.3476i | 0.0783776 | − | 0.943340i | ||||
\(723\) | 6.12360 | − | 6.12360i | 0.227739 | − | 0.227739i | ||||
\(724\) | −13.5182 | + | 5.05452i | −0.502402 | + | 0.187850i | ||||
\(725\) | −10.4636 | + | 6.04115i | −0.388608 | + | 0.224363i | ||||
\(726\) | 24.7638 | − | 35.6975i | 0.919070 | − | 1.32486i | ||||
\(727\) | −9.90883 | −0.367498 | −0.183749 | − | 0.982973i | \(-0.558823\pi\) | ||||
−0.183749 | + | 0.982973i | \(0.558823\pi\) | |||||||
\(728\) | −28.4937 | − | 8.85517i | −1.05605 | − | 0.328195i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 10.4809 | − | 15.1084i | 0.387916 | − | 0.559188i | ||||
\(731\) | 6.85630 | − | 3.95849i | 0.253589 | − | 0.146410i | ||||
\(732\) | −5.08549 | + | 1.90148i | −0.187965 | + | 0.0702808i | ||||
\(733\) | 25.2750 | − | 25.2750i | 0.933552 | − | 0.933552i | −0.0643735 | − | 0.997926i | \(-0.520505\pi\) |
0.997926 | + | 0.0643735i | \(0.0205049\pi\) | |||||||
\(734\) | 1.02593 | − | 12.3480i | 0.0378679 | − | 0.455771i | ||||
\(735\) | −0.527231 | − | 1.96765i | −0.0194472 | − | 0.0725779i | ||||
\(736\) | 14.5519 | − | 10.6708i | 0.536389 | − | 0.393331i | ||||
\(737\) | 19.3991 | − | 33.6003i | 0.714576 | − | 1.23768i | ||||
\(738\) | 2.12801 | + | 11.7675i | 0.0783332 | + | 0.433168i | ||||
\(739\) | 8.85522 | + | 2.37275i | 0.325745 | + | 0.0872830i | 0.417985 | − | 0.908454i | \(-0.362736\pi\) |
−0.0922408 | + | 0.995737i | \(0.529403\pi\) | |||||||
\(740\) | 10.6198 | − | 12.8833i | 0.390392 | − | 0.473600i | ||||
\(741\) | −9.94954 | − | 19.5401i | −0.365506 | − | 0.717822i | ||||
\(742\) | −8.56387 | − | 3.07466i | −0.314389 | − | 0.112874i | ||||
\(743\) | 2.25636 | − | 8.42086i | 0.0827779 | − | 0.308931i | −0.912106 | − | 0.409954i | \(-0.865545\pi\) |
0.994884 | + | 0.101023i | \(0.0322114\pi\) | |||||||
\(744\) | 6.20557 | + | 3.47509i | 0.227507 | + | 0.127403i | ||||
\(745\) | −17.8568 | − | 10.3096i | −0.654222 | − | 0.377715i | ||||
\(746\) | 15.7004 | + | 33.2889i | 0.574832 | + | 1.21879i | ||||
\(747\) | −2.14439 | + | 0.574588i | −0.0784592 | + | 0.0210231i | ||||
\(748\) | 26.3970 | − | 57.9255i | 0.965171 | − | 2.11797i | ||||
\(749\) | 3.07164 | + | 3.07164i | 0.112235 | + | 0.112235i | ||||
\(750\) | −11.6883 | + | 9.89505i | −0.426797 | + | 0.361316i | ||||
\(751\) | 26.0718 | + | 45.1577i | 0.951375 | + | 1.64783i | 0.742454 | + | 0.669897i | \(0.233662\pi\) |
0.208920 | + | 0.977933i | \(0.433005\pi\) | |||||||
\(752\) | 0.768785 | − | 10.9994i | 0.0280347 | − | 0.401105i | ||||
\(753\) | 2.00745i | 0.0731557i | ||||||||
\(754\) | −7.23219 | + | 17.2342i | −0.263381 | + | 0.627633i | ||||
\(755\) | − | 2.20731i | − | 0.0803321i | ||||||
\(756\) | 3.39819 | + | 4.76392i | 0.123591 | + | 0.173262i | ||||
\(757\) | −1.74267 | − | 3.01839i | −0.0633384 | − | 0.109705i | 0.832617 | − | 0.553849i | \(-0.186841\pi\) |
−0.895956 | + | 0.444143i | \(0.853508\pi\) | |||||||
\(758\) | −9.67907 | − | 11.4332i | −0.351560 | − | 0.415272i | ||||
\(759\) | −14.5695 | − | 14.5695i | −0.528839 | − | 0.528839i | ||||
\(760\) | −15.6665 | + | 16.0829i | −0.568285 | + | 0.583390i | ||||
\(761\) | 10.1797 | − | 2.72765i | 0.369015 | − | 0.0988772i | −0.0695460 | − | 0.997579i | \(-0.522155\pi\) |
0.438561 | + | 0.898702i | \(0.355488\pi\) | |||||||
\(762\) | 10.3824 | − | 4.89678i | 0.376116 | − | 0.177392i | ||||
\(763\) | 40.9525 | + | 23.6439i | 1.48258 | + | 0.855968i | ||||
\(764\) | −0.485611 | + | 2.90219i | −0.0175688 | + | 0.104998i | ||||
\(765\) | −1.66469 | + | 6.21270i | −0.0601869 | + | 0.224621i | ||||
\(766\) | 11.7121 | − | 32.6217i | 0.423174 | − | 1.17867i | ||||
\(767\) | −13.8864 | − | 0.731502i | −0.501409 | − | 0.0264130i | ||||
\(768\) | −5.99469 | − | 14.8345i | −0.216315 | − | 0.535296i | ||||
\(769\) | −25.9859 | − | 6.96289i | −0.937074 | − | 0.251088i | −0.242205 | − | 0.970225i | \(-0.577871\pi\) |
−0.694869 | + | 0.719137i | \(0.744537\pi\) | |||||||
\(770\) | 34.3287 | − | 6.20794i | 1.23712 | − | 0.223719i | ||||
\(771\) | −5.18464 | + | 8.98006i | −0.186720 | + | 0.323409i | ||||
\(772\) | −45.1554 | + | 4.34872i | −1.62518 | + | 0.156514i | ||||
\(773\) | 2.60534 | + | 9.72325i | 0.0937075 | + | 0.349721i | 0.996820 | − | 0.0796823i | \(-0.0253906\pi\) |
−0.903113 | + | 0.429403i | \(0.858724\pi\) | |||||||
\(774\) | −2.26435 | − | 0.188134i | −0.0813904 | − | 0.00676234i | ||||
\(775\) | 5.86105 | − | 5.86105i | 0.210535 | − | 0.210535i | ||||
\(776\) | 0.253103 | + | 19.2980i | 0.00908585 | + | 0.692757i | ||||
\(777\) | −16.2058 | + | 9.35640i | −0.581378 | + | 0.335659i | ||||
\(778\) | −12.5001 | − | 8.67144i | −0.448149 | − | 0.310886i | ||||
\(779\) | 51.4246 | 1.84248 | ||||||||
\(780\) | −2.03954 | + | 9.18880i | −0.0730274 | + | 0.329012i | ||||
\(781\) | −43.5741 | −1.55920 | ||||||||
\(782\) | −18.2651 | − | 12.6707i | −0.653159 | − | 0.453104i | ||||
\(783\) | 3.17437 | − | 1.83272i | 0.113443 | − | 0.0654962i | ||||
\(784\) | 2.03219 | − | 5.90255i | 0.0725783 | − | 0.210805i | ||||
\(785\) | −5.87996 | + | 5.87996i | −0.209865 | + | 0.209865i | ||||
\(786\) | 9.77617 | + | 0.812256i | 0.348705 | + | 0.0289722i | ||||
\(787\) | 7.18044 | + | 26.7978i | 0.255955 | + | 0.955238i | 0.967557 | + | 0.252654i | \(0.0813036\pi\) |
−0.711601 | + | 0.702583i | \(0.752030\pi\) | |||||||
\(788\) | −5.15358 | − | 53.5128i | −0.183589 | − | 1.90631i | ||||
\(789\) | 6.78557 | − | 11.7530i | 0.241573 | − | 0.418416i | ||||
\(790\) | 5.92238 | − | 1.07099i | 0.210709 | − | 0.0381042i | ||||
\(791\) | −2.89241 | − | 0.775019i | −0.102842 | − | 0.0275565i | ||||
\(792\) | −15.7005 | + | 9.34136i | −0.557894 | + | 0.331931i | ||||
\(793\) | 6.54743 | + | 7.27559i | 0.232506 | + | 0.258364i | ||||
\(794\) | 13.1390 | − | 36.5962i | 0.466287 | − | 1.29875i | ||||
\(795\) | −0.742892 | + | 2.77251i | −0.0263477 | + | 0.0983308i | ||||
\(796\) | 36.5286 | + | 6.11217i | 1.29472 | + | 0.216640i | ||||
\(797\) | −21.1621 | − | 12.2179i | −0.749598 | − | 0.432781i | 0.0759503 | − | 0.997112i | \(-0.475801\pi\) |
−0.825549 | + | 0.564331i | \(0.809134\pi\) | |||||||
\(798\) | 22.7598 | − | 10.7344i | 0.805687 | − | 0.379995i | ||||
\(799\) | −13.1204 | + | 3.51559i | −0.464165 | + | 0.124373i | ||||
\(800\) | −18.5356 | + | 2.03076i | −0.655333 | + | 0.0717981i | ||||
\(801\) | 6.93164 | + | 6.93164i | 0.244917 | + | 0.244917i | ||||
\(802\) | −8.31707 | − | 9.82435i | −0.293686 | − | 0.346910i | ||||
\(803\) | −32.1710 | − | 55.7217i | −1.13529 | − | 1.96638i | ||||
\(804\) | −9.78016 | + | 6.97636i | −0.344920 | + | 0.246037i | ||||
\(805\) | − | 12.1825i | − | 0.429376i | ||||||
\(806\) | 1.73237 | − | 12.7044i | 0.0610200 | − | 0.447493i | ||||
\(807\) | − | 8.58978i | − | 0.302375i | ||||||
\(808\) | −21.7016 | + | 6.12106i | −0.763459 | + | 0.215338i | ||||
\(809\) | 8.82801 | + | 15.2906i | 0.310376 | + | 0.537587i | 0.978444 | − | 0.206513i | \(-0.0662117\pi\) |
−0.668068 | + | 0.744101i | \(0.732878\pi\) | |||||||
\(810\) | 1.40886 | − | 1.19271i | 0.0495024 | − | 0.0419076i | ||||
\(811\) | 6.14447 | + | 6.14447i | 0.215762 | + | 0.215762i | 0.806710 | − | 0.590948i | \(-0.201246\pi\) |
−0.590948 | + | 0.806710i | \(0.701246\pi\) | |||||||
\(812\) | −19.5180 | − | 8.89449i | −0.684949 | − | 0.312136i | ||||
\(813\) | 20.1056 | − | 5.38729i | 0.705135 | − | 0.188940i | ||||
\(814\) | −24.9215 | − | 52.8400i | −0.873498 | − | 1.85204i | ||||
\(815\) | 12.0760 | + | 6.97210i | 0.423005 | + | 0.244222i | ||||
\(816\) | −14.8752 | + | 12.9317i | −0.520738 | + | 0.452701i | ||||
\(817\) | −2.52891 | + | 9.43800i | −0.0884752 | + | 0.330194i | ||||
\(818\) | 2.62163 | + | 0.941237i | 0.0916632 | + | 0.0329096i | ||||
\(819\) | 5.74796 | − | 8.84587i | 0.200850 | − | 0.309100i | ||||
\(820\) | −17.0333 | − | 14.0407i | −0.594828 | − | 0.490322i | ||||
\(821\) | 36.7362 | + | 9.84343i | 1.28210 | + | 0.343538i | 0.834655 | − | 0.550772i | \(-0.185667\pi\) |
0.447447 | + | 0.894311i | \(0.352333\pi\) | |||||||
\(822\) | −2.09451 | − | 11.5822i | −0.0730544 | − | 0.403977i | ||||
\(823\) | 10.5068 | − | 18.1983i | 0.366243 | − | 0.634352i | −0.622732 | − | 0.782435i | \(-0.713977\pi\) |
0.988975 | + | 0.148084i | \(0.0473105\pi\) | |||||||
\(824\) | 37.4055 | + | 9.49879i | 1.30308 | + | 0.330906i | ||||
\(825\) | 5.51057 | + | 20.5657i | 0.191853 | + | 0.716007i | ||||
\(826\) | 1.32135 | − | 15.9036i | 0.0459757 | − | 0.553355i | ||||
\(827\) | −21.3446 | + | 21.3446i | −0.742225 | + | 0.742225i | −0.973006 | − | 0.230781i | \(-0.925872\pi\) |
0.230781 | + | 0.973006i | \(0.425872\pi\) | |||||||
\(828\) | 2.23438 | + | 5.97582i | 0.0776501 | + | 0.207674i | ||||
\(829\) | 5.48391 | − | 3.16614i | 0.190464 | − | 0.109964i | −0.401736 | − | 0.915756i | \(-0.631593\pi\) |
0.592200 | + | 0.805791i | \(0.298260\pi\) | |||||||
\(830\) | 2.33584 | − | 3.36716i | 0.0810781 | − | 0.116876i | ||||
\(831\) | −28.9785 | −1.00525 | ||||||||
\(832\) | −20.9274 | + | 19.8506i | −0.725525 | + | 0.688195i | ||||
\(833\) | −7.69027 | −0.266452 | ||||||||
\(834\) | 8.61492 | − | 12.4186i | 0.298310 | − | 0.430020i | ||||
\(835\) | 8.29552 | − | 4.78942i | 0.287078 | − | 0.165745i | ||||
\(836\) | 27.5148 | + | 73.5879i | 0.951618 | + | 2.54509i | ||||
\(837\) | −1.77808 | + | 1.77808i | −0.0614596 | + | 0.0614596i | ||||
\(838\) | −1.83487 | + | 22.0842i | −0.0633845 | + | 0.762885i | ||||
\(839\) | 0.162969 | + | 0.608210i | 0.00562633 | + | 0.0209977i | 0.968682 | − | 0.248305i | \(-0.0798735\pi\) |
−0.963056 | + | 0.269303i | \(0.913207\pi\) | |||||||
\(840\) | −10.4696 | − | 2.65865i | −0.361234 | − | 0.0917322i | ||||
\(841\) | 7.78226 | − | 13.4793i | 0.268354 | − | 0.464802i | ||||
\(842\) | 0.362594 | + | 2.00507i | 0.0124958 | + | 0.0690994i | ||||
\(843\) | −14.5560 | − | 3.90027i | −0.501336 | − | 0.134332i | ||||
\(844\) | −24.4391 | − | 20.1453i | −0.841227 | − | 0.693431i | ||||
\(845\) | 16.7610 | − | 2.64544i | 0.576596 | − | 0.0910058i | ||||
\(846\) | 3.66904 | + | 1.31729i | 0.126144 | + | 0.0452893i | ||||
\(847\) | 23.2640 | − | 86.8224i | 0.799360 | − | 2.98325i | ||||
\(848\) | −6.63830 | + | 5.77097i | −0.227960 | + | 0.198176i | ||||
\(849\) | 9.64106 | + | 5.56627i | 0.330880 | + | 0.191034i | ||||
\(850\) | 9.79877 | + | 20.7759i | 0.336095 | + | 0.712608i | ||||
\(851\) | −19.7066 | + | 5.28037i | −0.675534 | + | 0.181009i | ||||
\(852\) | 12.2774 | + | 5.59490i | 0.420618 | + | 0.191678i | ||||
\(853\) | 30.6514 | + | 30.6514i | 1.04948 | + | 1.04948i | 0.998710 | + | 0.0507738i | \(0.0161688\pi\) |
0.0507738 | + | 0.998710i | \(0.483831\pi\) | |||||||
\(854\) | −8.57314 | + | 7.25782i | −0.293367 | + | 0.248358i | ||||
\(855\) | −3.96903 | − | 6.87456i | −0.135738 | − | 0.235105i | ||||
\(856\) | 4.04161 | − | 1.13996i | 0.138139 | − | 0.0389631i | ||||
\(857\) | 1.01692i | 0.0347372i | 0.999849 | + | 0.0173686i | \(0.00552887\pi\) | ||||
−0.999849 | + | 0.0173686i | \(0.994471\pi\) | |||||||
\(858\) | 26.0365 | + | 20.1705i | 0.888870 | + | 0.688608i | ||||
\(859\) | 8.96260i | 0.305800i | 0.988242 | + | 0.152900i | \(0.0488612\pi\) | ||||
−0.988242 | + | 0.152900i | \(0.951139\pi\) | |||||||
\(860\) | 3.41455 | − | 2.43566i | 0.116435 | − | 0.0830553i | ||||
\(861\) | 12.3703 | + | 21.4260i | 0.421578 | + | 0.730195i | ||||
\(862\) | 15.3768 | + | 18.1635i | 0.523737 | + | 0.618652i | ||||
\(863\) | 2.15959 | + | 2.15959i | 0.0735132 | + | 0.0735132i | 0.742907 | − | 0.669394i | \(-0.233446\pi\) |
−0.669394 | + | 0.742907i | \(0.733446\pi\) | |||||||
\(864\) | 5.62321 | − | 0.616076i | 0.191305 | − | 0.0209593i | ||||
\(865\) | −16.8947 | + | 4.52693i | −0.574438 | + | 0.153920i | ||||
\(866\) | −12.9498 | + | 6.10764i | −0.440051 | + | 0.207546i | ||||
\(867\) | 6.30587 | + | 3.64070i | 0.214159 | + | 0.123645i | ||||
\(868\) | 14.5129 | + | 2.42838i | 0.492600 | + | 0.0824247i | ||||
\(869\) | 5.45058 | − | 20.3418i | 0.184898 | − | 0.690049i | ||||
\(870\) | −2.28634 | + | 6.36816i | −0.0775143 | + | 0.215901i | ||||
\(871\) | 18.1603 | + | 11.8004i | 0.615337 | + | 0.399840i | ||||
\(872\) | 39.2856 | − | 23.3738i | 1.33038 | − | 0.791537i | ||||
\(873\) | −6.59095 | − | 1.76604i | −0.223070 | − | 0.0597713i | ||||
\(874\) | 26.9975 | − | 4.88218i | 0.913205 | − | 0.165142i | ||||
\(875\) | −15.8419 | + | 27.4389i | −0.535553 | + | 0.927605i | ||||
\(876\) | 1.90983 | + | 19.8309i | 0.0645271 | + | 0.670023i | ||||
\(877\) | 9.35760 | + | 34.9230i | 0.315984 | + | 1.17927i | 0.923070 | + | 0.384631i | \(0.125671\pi\) |
−0.607087 | + | 0.794636i | \(0.707662\pi\) | |||||||
\(878\) | 7.83048 | + | 0.650598i | 0.264266 | + | 0.0219566i | ||||
\(879\) | 9.60672 | − | 9.60672i | 0.324027 | − | 0.324027i | ||||
\(880\) | 10.9784 | − | 31.8869i | 0.370080 | − | 1.07491i | ||||
\(881\) | −43.9972 | + | 25.4018i | −1.48230 | + | 0.855808i | −0.999798 | − | 0.0200857i | \(-0.993606\pi\) |
−0.482504 | + | 0.875894i | \(0.660273\pi\) | |||||||
\(882\) | 1.81346 | + | 1.25802i | 0.0610623 | + | 0.0423597i | ||||
\(883\) | 24.2471 | 0.815980 | 0.407990 | − | 0.912986i | \(-0.366230\pi\) | ||||
0.407990 | + | 0.912986i | \(0.366230\pi\) | |||||||
\(884\) | 31.5145 | + | 16.4155i | 1.05995 | + | 0.552114i | ||||
\(885\) | −5.03407 | −0.169219 | ||||||||
\(886\) | −23.9521 | − | 16.6159i | −0.804688 | − | 0.558222i | ||||
\(887\) | −15.7955 | + | 9.11956i | −0.530362 | + | 0.306205i | −0.741164 | − | 0.671324i | \(-0.765726\pi\) |
0.210802 | + | 0.977529i | \(0.432393\pi\) | |||||||
\(888\) | 0.237235 | + | 18.0881i | 0.00796107 | + | 0.606997i | ||||
\(889\) | 16.7933 | − | 16.7933i | 0.563231 | − | 0.563231i | ||||
\(890\) | −18.0332 | − | 1.49829i | −0.604473 | − | 0.0502228i | ||||
\(891\) | −1.67176 | − | 6.23908i | −0.0560060 | − | 0.209017i | ||||
\(892\) | −23.4143 | + | 2.25494i | −0.783970 | + | 0.0755008i | ||||
\(893\) | 8.38204 | − | 14.5181i | 0.280494 | − | 0.485830i | ||||
\(894\) | 21.9837 | − | 3.97548i | 0.735244 | − | 0.132960i | ||||
\(895\) | 25.5158 | + | 6.83694i | 0.852899 | + | 0.228534i | ||||
\(896\) | −22.0436 | − | 24.6949i | −0.736427 | − | 0.825000i | ||||
\(897\) | 8.54935 | − | 7.69370i | 0.285454 | − | 0.256885i | ||||
\(898\) | −15.7599 | + | 43.8960i | −0.525913 | + | 1.46483i | ||||
\(899\) | 2.38556 | − | 8.90303i | 0.0795629 | − | 0.296933i | ||||
\(900\) | 1.08798 | − | 6.50215i | 0.0362659 | − | 0.216738i | ||||
\(901\) | 9.38419 | + | 5.41796i | 0.312633 | + | 0.180499i | ||||
\(902\) | −69.8609 | + | 32.9492i | −2.32611 | + | 1.09709i | ||||
\(903\) | −4.54066 | + | 1.21667i | −0.151104 | + | 0.0404882i | ||||
\(904\) | −2.01986 | + | 2.07355i | −0.0671796 | + | 0.0689652i | ||||
\(905\) | 6.66025 | + | 6.66025i | 0.221394 | + | 0.221394i | ||||
\(906\) | 1.54525 | + | 1.82529i | 0.0513374 | + | 0.0606411i | ||||
\(907\) | 11.0452 | + | 19.1309i | 0.366750 | + | 0.635230i | 0.989055 | − | 0.147545i | \(-0.0471371\pi\) |
−0.622305 | + | 0.782775i | \(0.713804\pi\) | |||||||
\(908\) | −23.7522 | − | 33.2982i | −0.788243 | − | 1.10504i | ||||
\(909\) | − | 7.97203i | − | 0.264416i | ||||||
\(910\) | 2.45247 | + | 19.3183i | 0.0812987 | + | 0.640394i | ||||
\(911\) | 33.4829i | 1.10934i | 0.832071 | + | 0.554670i | \(0.187155\pi\) | ||||
−0.832071 | + | 0.554670i | \(0.812845\pi\) | |||||||
\(912\) | 1.69611 | − | 24.2670i | 0.0561637 | − | 0.803560i | ||||
\(913\) | −7.16981 | − | 12.4185i | −0.237286 | − | 0.410992i | ||||
\(914\) | −13.9812 | + | 11.8362i | −0.462457 | + | 0.391505i | ||||
\(915\) | 2.50555 | + | 2.50555i | 0.0828309 | + | 0.0828309i | ||||
\(916\) | −2.74654 | + | 6.02699i | −0.0907482 | + | 0.199137i | ||||
\(917\) | 19.6040 | − | 5.25288i | 0.647381 | − | 0.173465i | ||||
\(918\) | −2.97268 | − | 6.30285i | −0.0981131 | − | 0.208025i | ||||
\(919\) | 10.1236 | + | 5.84487i | 0.333947 | + | 0.192804i | 0.657592 | − | 0.753374i | \(-0.271575\pi\) |
−0.323645 | + | 0.946179i | \(0.604908\pi\) | |||||||
\(920\) | −10.2754 | − | 5.75414i | −0.338769 | − | 0.189708i | ||||
\(921\) | −7.38170 | + | 27.5489i | −0.243235 | + | 0.907767i | ||||
\(922\) | −40.3948 | − | 14.5028i | −1.33033 | − | 0.477625i | ||||
\(923\) | 1.27952 | − | 24.2896i | 0.0421159 | − | 0.799504i | ||||
\(924\) | −24.0415 | + | 29.1657i | −0.790908 | + | 0.959481i | ||||
\(925\) | 20.3635 | + | 5.45639i | 0.669548 | + | 0.179405i | ||||
\(926\) | 1.96948 | + | 10.8909i | 0.0647212 | + | 0.357896i | ||||
\(927\) | −6.82229 | + | 11.8165i | −0.224073 | + | 0.388106i | ||||
\(928\) | −16.7210 | + | 12.2614i | −0.548895 | + | 0.402501i | ||||
\(929\) | 1.33569 | + | 4.98484i | 0.0438224 | + | 0.163547i | 0.984369 | − | 0.176116i | \(-0.0563534\pi\) |
−0.940547 | + | 0.339664i | \(0.889687\pi\) | |||||||
\(930\) | 0.384337 | − | 4.62582i | 0.0126029 | − | 0.151687i | ||||
\(931\) | 6.71125 | − | 6.71125i | 0.219952 | − | 0.219952i | ||||
\(932\) | −9.04387 | + | 3.38153i | −0.296242 | + | 0.110766i | ||||
\(933\) | −9.00930 | + | 5.20152i | −0.294951 | + | 0.170290i | ||||
\(934\) | −5.29927 | + | 7.63900i | −0.173397 | + | 0.249956i | ||||
\(935\) | −41.5445 | −1.35865 | ||||||||
\(936\) | −4.74615 | − | 9.02630i | −0.155133 | − | 0.295034i | ||||
\(937\) | 29.5884 | 0.966611 | 0.483305 | − | 0.875452i | \(-0.339436\pi\) | ||||
0.483305 | + | 0.875452i | \(0.339436\pi\) | |||||||
\(938\) | −14.1668 | + | 20.4217i | −0.462561 | + | 0.666791i | ||||
\(939\) | 10.8466 | − | 6.26230i | 0.353966 | − | 0.204362i | ||||
\(940\) | −6.74032 | + | 2.52023i | −0.219845 | + | 0.0822008i | ||||
\(941\) | −29.9139 | + | 29.9139i | −0.975164 | + | 0.975164i | −0.999699 | − | 0.0245352i | \(-0.992189\pi\) |
0.0245352 | + | 0.999699i | \(0.492189\pi\) | |||||||
\(942\) | 0.745993 | − | 8.97865i | 0.0243058 | − | 0.292540i | ||||
\(943\) | 6.98129 | + | 26.0545i | 0.227342 | + | 0.848452i | ||||
\(944\) | −12.7898 | − | 8.62621i | −0.416272 | − | 0.280759i | ||||
\(945\) | 1.90952 | − | 3.30738i | 0.0621165 | − | 0.107589i | ||||
\(946\) | −2.61166 | − | 14.4420i | −0.0849124 | − | 0.469549i | ||||
\(947\) | −21.3180 | − | 5.71214i | −0.692742 | − | 0.185620i | −0.104765 | − | 0.994497i | \(-0.533409\pi\) |
−0.587977 | + | 0.808877i | \(0.700076\pi\) | |||||||
\(948\) | −4.14764 | + | 5.03166i | −0.134709 | + | 0.163421i | ||||
\(949\) | 32.0058 | − | 16.2969i | 1.03895 | − | 0.529021i | ||||
\(950\) | −26.6824 | − | 9.57970i | −0.865690 | − | 0.310807i | ||||
\(951\) | 1.98543 | − | 7.40971i | 0.0643819 | − | 0.240276i | ||||
\(952\) | −19.9245 | + | 35.5799i | −0.645758 | + | 1.15315i | ||||
\(953\) | −11.1981 | − | 6.46521i | −0.362741 | − | 0.209429i | 0.307542 | − | 0.951535i | \(-0.400494\pi\) |
−0.670282 | + | 0.742106i | \(0.733827\pi\) | |||||||
\(954\) | −1.32660 | − | 2.81274i | −0.0429504 | − | 0.0910659i | ||||
\(955\) | 1.85497 | − | 0.497037i | 0.0600253 | − | 0.0160837i | ||||
\(956\) | −6.86610 | + | 15.0669i | −0.222066 | + | 0.487300i | ||||
\(957\) | 16.7413 | + | 16.7413i | 0.541169 | + | 0.541169i | ||||
\(958\) | 40.4997 | − | 34.2861i | 1.30849 | − | 1.10773i | ||||
\(959\) | −12.1755 | − | 21.0887i | −0.393169 | − | 0.680989i | ||||
\(960\) | −7.18753 | + | 7.57482i | −0.231976 | + | 0.244476i | ||||
\(961\) | − | 24.6768i | − | 0.796027i | ||||||
\(962\) | 30.1866 | − | 12.3405i | 0.973255 | − | 0.397873i | ||||
\(963\) | 1.48468i | 0.0478431i | ||||||||
\(964\) | −10.0581 | − | 14.1004i | −0.323950 | − | 0.454145i | ||||
\(965\) | 14.8032 | + | 25.6398i | 0.476530 | + | 0.825375i | ||||
\(966\) | 8.52847 | + | 10.0741i | 0.274399 | + | 0.324128i | ||||
\(967\) | −22.6838 | − | 22.6838i | −0.729461 | − | 0.729461i | 0.241051 | − | 0.970512i | \(-0.422508\pi\) |
−0.970512 | + | 0.241051i | \(0.922508\pi\) | |||||||
\(968\) | −62.2424 | − | 60.6309i | −2.00055 | − | 1.94875i | ||||
\(969\) | −28.9464 | + | 7.75617i | −0.929892 | + | 0.249164i | ||||
\(970\) | 11.3921 | − | 5.37298i | 0.365779 | − | 0.172516i | ||||
\(971\) | 13.9027 | + | 8.02675i | 0.446160 | + | 0.257591i | 0.706207 | − | 0.708005i | \(-0.250405\pi\) |
−0.260047 | + | 0.965596i | \(0.583738\pi\) | |||||||
\(972\) | −0.330063 | + | 1.97258i | −0.0105868 | + | 0.0632704i | ||||
\(973\) | 8.09317 | − | 30.2041i | 0.259455 | − | 0.968300i | ||||
\(974\) | 20.3315 | − | 56.6294i | 0.651463 | − | 1.81452i | ||||
\(975\) | −11.6258 | + | 2.46788i | −0.372325 | + | 0.0790353i | ||||
\(976\) | 2.07229 | + | 10.6591i | 0.0663324 | + | 0.341190i | ||||
\(977\) | −3.17539 | − | 0.850843i | −0.101590 | − | 0.0272209i | 0.207666 | − | 0.978200i | \(-0.433413\pi\) |
−0.309256 | + | 0.950979i | \(0.600080\pi\) | |||||||
\(978\) | −14.8669 | + | 2.68850i | −0.475392 | + | 0.0859688i | ||||
\(979\) | −31.6591 | + | 54.8351i | −1.01183 | + | 1.75254i | ||||
\(980\) | −4.05536 | + | 0.390555i | −0.129544 | + | 0.0124758i | ||||
\(981\) | 4.18305 | + | 15.6113i | 0.133554 | + | 0.498432i | ||||
\(982\) | 24.6073 | + | 2.04451i | 0.785251 | + | 0.0652428i | ||||
\(983\) | 9.37699 | − | 9.37699i | 0.299080 | − | 0.299080i | −0.541574 | − | 0.840653i | \(-0.682171\pi\) |
0.840653 | + | 0.541574i | \(0.182171\pi\) | |||||||
\(984\) | 23.9147 | − | 0.313653i | 0.762372 | − | 0.00999889i | ||||
\(985\) | −30.3852 | + | 17.5429i | −0.968154 | + | 0.558964i | ||||
\(986\) | 20.9878 | + | 14.5595i | 0.668387 | + | 0.463668i | ||||
\(987\) | 8.06527 | 0.256720 | ||||||||
\(988\) | −41.8283 | + | 13.1768i | −1.33073 | + | 0.419209i | ||||
\(989\) | −5.12513 | −0.162970 | ||||||||
\(990\) | 9.79670 | + | 6.79609i | 0.311360 | + | 0.215994i | ||||
\(991\) | 35.8971 | − | 20.7252i | 1.14031 | − | 0.658357i | 0.193801 | − | 0.981041i | \(-0.437918\pi\) |
0.946507 | + | 0.322684i | \(0.104585\pi\) | |||||||
\(992\) | 8.90310 | − | 11.0940i | 0.282674 | − | 0.352234i | ||||
\(993\) | −20.6276 | + | 20.6276i | −0.654598 | + | 0.654598i | ||||
\(994\) | 27.8180 | + | 2.31127i | 0.882333 | + | 0.0733089i | ||||
\(995\) | −6.25598 | − | 23.3476i | −0.198328 | − | 0.740170i | ||||
\(996\) | 0.425636 | + | 4.41963i | 0.0134868 | + | 0.140041i | ||||
\(997\) | −23.0706 | + | 39.9595i | −0.730654 | + | 1.26553i | 0.225949 | + | 0.974139i | \(0.427452\pi\) |
−0.956604 | + | 0.291392i | \(0.905882\pi\) | |||||||
\(998\) | 50.6608 | − | 9.16140i | 1.60364 | − | 0.289999i | ||||
\(999\) | −6.17774 | − | 1.65532i | −0.195455 | − | 0.0523720i |
(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 | 156.2.w.c.67.5 | yes | 24 | |
3.2 | odd | 2 | 468.2.cb.h.379.2 | 24 | |||
4.3 | odd | 2 | 156.2.w.d.67.4 | yes | 24 | ||
12.11 | even | 2 | 468.2.cb.g.379.3 | 24 | |||
13.7 | odd | 12 | 156.2.w.d.7.4 | yes | 24 | ||
39.20 | even | 12 | 468.2.cb.g.163.3 | 24 | |||
52.7 | even | 12 | inner | 156.2.w.c.7.5 | ✓ | 24 | |
156.59 | odd | 12 | 468.2.cb.h.163.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.2.w.c.7.5 | ✓ | 24 | 52.7 | even | 12 | inner | |
156.2.w.c.67.5 | yes | 24 | 1.1 | even | 1 | trivial | |
156.2.w.d.7.4 | yes | 24 | 13.7 | odd | 12 | ||
156.2.w.d.67.4 | yes | 24 | 4.3 | odd | 2 | ||
468.2.cb.g.163.3 | 24 | 39.20 | even | 12 | |||
468.2.cb.g.379.3 | 24 | 12.11 | even | 2 | |||
468.2.cb.h.163.2 | 24 | 156.59 | odd | 12 | |||
468.2.cb.h.379.2 | 24 | 3.2 | odd | 2 |