Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,2,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), 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: | \(0.255521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{8})\) |
Coefficient field: | 8.0.18939904.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Root | \(0.500000 + 1.44392i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 32.29 |
Dual form | 32.2.g.b.21.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.11137 | + | 0.874559i | 0.785858 | + | 0.618406i | ||||
\(3\) | −2.27882 | − | 0.943920i | −1.31568 | − | 0.544972i | −0.389143 | − | 0.921177i | \(-0.627229\pi\) |
−0.926536 | + | 0.376205i | \(0.877229\pi\) | |||||||
\(4\) | 0.470294 | + | 1.94392i | 0.235147 | + | 0.971960i | ||||
\(5\) | −0.707107 | − | 1.70711i | −0.316228 | − | 0.763441i | −0.999448 | − | 0.0332288i | \(-0.989421\pi\) |
0.683220 | − | 0.730213i | \(-0.260579\pi\) | |||||||
\(6\) | −1.70711 | − | 3.04201i | −0.696923 | − | 1.24190i | ||||
\(7\) | −0.665096 | + | 0.665096i | −0.251383 | + | 0.251383i | −0.821537 | − | 0.570155i | \(-0.806883\pi\) |
0.570155 | + | 0.821537i | \(0.306883\pi\) | |||||||
\(8\) | −1.17740 | + | 2.57172i | −0.416274 | + | 0.909239i | ||||
\(9\) | 2.18073 | + | 2.18073i | 0.726911 | + | 0.726911i | ||||
\(10\) | 0.707107 | − | 2.51564i | 0.223607 | − | 0.795514i | ||||
\(11\) | 3.69304 | − | 1.52971i | 1.11349 | − | 0.461224i | 0.251353 | − | 0.967895i | \(-0.419124\pi\) |
0.862139 | + | 0.506672i | \(0.169124\pi\) | |||||||
\(12\) | 0.763187 | − | 4.87377i | 0.220313 | − | 1.40694i | ||||
\(13\) | −1.76652 | + | 4.26475i | −0.489944 | + | 1.18283i | 0.464804 | + | 0.885414i | \(0.346125\pi\) |
−0.954748 | + | 0.297416i | \(0.903875\pi\) | |||||||
\(14\) | −1.32083 | + | 0.157503i | −0.353008 | + | 0.0420945i | ||||
\(15\) | 4.55765i | 1.17678i | ||||||||
\(16\) | −3.55765 | + | 1.82843i | −0.889412 | + | 0.457107i | ||||
\(17\) | − | 3.61706i | − | 0.877266i | −0.898666 | − | 0.438633i | \(-0.855463\pi\) | ||
0.898666 | − | 0.438633i | \(-0.144537\pi\) | |||||||
\(18\) | 0.516426 | + | 4.33078i | 0.121723 | + | 1.02078i | ||||
\(19\) | 0.194802 | − | 0.470294i | 0.0446907 | − | 0.107893i | −0.899958 | − | 0.435977i | \(-0.856403\pi\) |
0.944649 | + | 0.328084i | \(0.106403\pi\) | |||||||
\(20\) | 2.98593 | − | 2.17740i | 0.667674 | − | 0.486882i | ||||
\(21\) | 2.14343 | − | 0.887839i | 0.467736 | − | 0.193742i | ||||
\(22\) | 5.44215 | + | 1.52971i | 1.16027 | + | 0.326134i | ||||
\(23\) | −1.33490 | − | 1.33490i | −0.278347 | − | 0.278347i | 0.554102 | − | 0.832449i | \(-0.313062\pi\) |
−0.832449 | + | 0.554102i | \(0.813062\pi\) | |||||||
\(24\) | 5.11058 | − | 4.74912i | 1.04319 | − | 0.969410i | ||||
\(25\) | 1.12132 | − | 1.12132i | 0.224264 | − | 0.224264i | ||||
\(26\) | −5.69304 | + | 3.19480i | −1.11650 | + | 0.626552i | ||||
\(27\) | −0.0793096 | − | 0.191470i | −0.0152631 | − | 0.0368485i | ||||
\(28\) | −1.60568 | − | 0.980103i | −0.303446 | − | 0.185222i | ||||
\(29\) | −5.73838 | − | 2.37691i | −1.06559 | − | 0.441382i | −0.220158 | − | 0.975464i | \(-0.570657\pi\) |
−0.845433 | + | 0.534082i | \(0.820657\pi\) | |||||||
\(30\) | −3.98593 | + | 5.06524i | −0.727728 | + | 0.924782i | ||||
\(31\) | 1.17157 | 0.210421 | 0.105210 | − | 0.994450i | \(-0.466448\pi\) | ||||
0.105210 | + | 0.994450i | \(0.466448\pi\) | |||||||
\(32\) | −5.55294 | − | 1.07931i | −0.981630 | − | 0.190797i | ||||
\(33\) | −9.85970 | −1.71635 | ||||||||
\(34\) | 3.16333 | − | 4.01990i | 0.542507 | − | 0.689407i | ||||
\(35\) | 1.60568 | + | 0.665096i | 0.271410 | + | 0.112422i | ||||
\(36\) | −3.21358 | + | 5.26475i | −0.535597 | + | 0.877459i | ||||
\(37\) | 0.510925 | + | 1.23348i | 0.0839955 | + | 0.202783i | 0.960297 | − | 0.278980i | \(-0.0899965\pi\) |
−0.876301 | + | 0.481763i | \(0.839996\pi\) | |||||||
\(38\) | 0.627797 | − | 0.352305i | 0.101842 | − | 0.0571515i | ||||
\(39\) | 8.05117 | − | 8.05117i | 1.28922 | − | 1.28922i | ||||
\(40\) | 5.22274 | + | 0.191470i | 0.825788 | + | 0.0302741i | ||||
\(41\) | 1.66981 | + | 1.66981i | 0.260780 | + | 0.260780i | 0.825371 | − | 0.564591i | \(-0.190966\pi\) |
−0.564591 | + | 0.825371i | \(0.690966\pi\) | |||||||
\(42\) | 3.15862 | + | 0.887839i | 0.487386 | + | 0.136997i | ||||
\(43\) | −2.54960 | + | 1.05608i | −0.388811 | + | 0.161051i | −0.568521 | − | 0.822669i | \(-0.692484\pi\) |
0.179710 | + | 0.983720i | \(0.442484\pi\) | |||||||
\(44\) | 4.71044 | + | 6.45956i | 0.710125 | + | 0.973815i | ||||
\(45\) | 2.18073 | − | 5.26475i | 0.325084 | − | 0.784823i | ||||
\(46\) | −0.316122 | − | 2.65103i | −0.0466097 | − | 0.390873i | ||||
\(47\) | 1.49824i | 0.218540i | 0.994012 | + | 0.109270i | \(0.0348513\pi\) | ||||
−0.994012 | + | 0.109270i | \(0.965149\pi\) | |||||||
\(48\) | 9.83314 | − | 0.808530i | 1.41929 | − | 0.116701i | ||||
\(49\) | 6.11529i | 0.873614i | ||||||||
\(50\) | 2.22686 | − | 0.265543i | 0.314926 | − | 0.0375535i | ||||
\(51\) | −3.41421 | + | 8.24264i | −0.478086 | + | 1.15420i | ||||
\(52\) | −9.12112 | − | 1.42828i | −1.26487 | − | 0.198067i | ||||
\(53\) | 4.59495 | − | 1.90329i | 0.631164 | − | 0.261437i | −0.0440833 | − | 0.999028i | \(-0.514037\pi\) |
0.675248 | + | 0.737591i | \(0.264037\pi\) | |||||||
\(54\) | 0.0793096 | − | 0.282156i | 0.0107927 | − | 0.0383965i | ||||
\(55\) | −5.22274 | − | 5.22274i | −0.704235 | − | 0.704235i | ||||
\(56\) | −0.927354 | − | 2.49352i | −0.123923 | − | 0.333211i | ||||
\(57\) | −0.887839 | + | 0.887839i | −0.117597 | + | 0.117597i | ||||
\(58\) | −4.29872 | − | 7.66019i | −0.564450 | − | 1.00583i | ||||
\(59\) | 2.04784 | + | 4.94392i | 0.266606 | + | 0.643644i | 0.999319 | − | 0.0368939i | \(-0.0117464\pi\) |
−0.732713 | + | 0.680537i | \(0.761746\pi\) | |||||||
\(60\) | −8.85970 | + | 2.14343i | −1.14378 | + | 0.276716i | ||||
\(61\) | 13.7102 | + | 5.67897i | 1.75542 | + | 0.727117i | 0.997173 | + | 0.0751463i | \(0.0239424\pi\) |
0.758244 | + | 0.651971i | \(0.226058\pi\) | |||||||
\(62\) | 1.30205 | + | 1.02461i | 0.165361 | + | 0.130126i | ||||
\(63\) | −2.90079 | −0.365466 | ||||||||
\(64\) | −5.22746 | − | 6.05588i | −0.653432 | − | 0.756985i | ||||
\(65\) | 8.52951 | 1.05796 | ||||||||
\(66\) | −10.9578 | − | 8.62289i | −1.34881 | − | 1.06140i | ||||
\(67\) | −3.40617 | − | 1.41088i | −0.416130 | − | 0.172367i | 0.164788 | − | 0.986329i | \(-0.447306\pi\) |
−0.580918 | + | 0.813962i | \(0.697306\pi\) | |||||||
\(68\) | 7.03127 | − | 1.70108i | 0.852667 | − | 0.206286i | ||||
\(69\) | 1.78197 | + | 4.30205i | 0.214524 | + | 0.517906i | ||||
\(70\) | 1.20285 | + | 2.14343i | 0.143768 | + | 0.256189i | ||||
\(71\) | −9.66157 | + | 9.66157i | −1.14662 | + | 1.14662i | −0.159403 | + | 0.987214i | \(0.550957\pi\) |
−0.987214 | + | 0.159403i | \(0.949043\pi\) | |||||||
\(72\) | −8.17582 | + | 3.04063i | −0.963530 | + | 0.358342i | ||||
\(73\) | −7.55765 | − | 7.55765i | −0.884556 | − | 0.884556i | 0.109438 | − | 0.993994i | \(-0.465095\pi\) |
−0.993994 | + | 0.109438i | \(0.965095\pi\) | |||||||
\(74\) | −0.510925 | + | 1.81769i | −0.0593938 | + | 0.211302i | ||||
\(75\) | −3.61373 | + | 1.49685i | −0.417277 | + | 0.172842i | ||||
\(76\) | 1.00583 | + | 0.157503i | 0.115376 | + | 0.0180669i | ||||
\(77\) | −1.43882 | + | 3.47363i | −0.163969 | + | 0.395856i | ||||
\(78\) | 15.9891 | − | 1.90662i | 1.81041 | − | 0.215882i | ||||
\(79\) | − | 17.2176i | − | 1.93714i | −0.248750 | − | 0.968568i | \(-0.580020\pi\) | ||
0.248750 | − | 0.968568i | \(-0.419980\pi\) | |||||||
\(80\) | 5.63696 | + | 4.78039i | 0.630231 | + | 0.534464i | ||||
\(81\) | − | 8.74088i | − | 0.971208i | ||||||
\(82\) | 0.395432 | + | 3.31612i | 0.0436682 | + | 0.366204i | ||||
\(83\) | 4.82981 | − | 11.6602i | 0.530140 | − | 1.27987i | −0.401290 | − | 0.915951i | \(-0.631438\pi\) |
0.931430 | − | 0.363921i | \(-0.118562\pi\) | |||||||
\(84\) | 2.73393 | + | 3.74912i | 0.298296 | + | 0.409062i | ||||
\(85\) | −6.17471 | + | 2.55765i | −0.669741 | + | 0.277416i | ||||
\(86\) | −3.75716 | − | 1.05608i | −0.405145 | − | 0.113880i | ||||
\(87\) | 10.8331 | + | 10.8331i | 1.16143 | + | 1.16143i | ||||
\(88\) | −0.414214 | + | 11.2985i | −0.0441553 | + | 1.20443i | ||||
\(89\) | −5.43882 | + | 5.43882i | −0.576514 | + | 0.576514i | −0.933941 | − | 0.357427i | \(-0.883654\pi\) |
0.357427 | + | 0.933941i | \(0.383654\pi\) | |||||||
\(90\) | 7.02794 | − | 3.94392i | 0.740810 | − | 0.415726i | ||||
\(91\) | −1.66157 | − | 4.01138i | −0.174179 | − | 0.420506i | ||||
\(92\) | 1.96715 | − | 3.22274i | 0.205089 | − | 0.335994i | ||||
\(93\) | −2.66981 | − | 1.10587i | −0.276846 | − | 0.114673i | ||||
\(94\) | −1.31029 | + | 1.66510i | −0.135147 | + | 0.171742i | ||||
\(95\) | −0.940588 | −0.0965023 | ||||||||
\(96\) | 11.6354 | + | 7.70108i | 1.18753 | + | 0.785988i | ||||
\(97\) | 6.15862 | 0.625313 | 0.312657 | − | 0.949866i | \(-0.398781\pi\) | ||||
0.312657 | + | 0.949866i | \(0.398781\pi\) | |||||||
\(98\) | −5.34818 | + | 6.79637i | −0.540248 | + | 0.686537i | ||||
\(99\) | 11.3894 | + | 4.71765i | 1.14468 | + | 0.474141i | ||||
\(100\) | 2.70711 | + | 1.65241i | 0.270711 | + | 0.165241i | ||||
\(101\) | −3.09671 | − | 7.47612i | −0.308134 | − | 0.743902i | −0.999766 | − | 0.0216512i | \(-0.993108\pi\) |
0.691631 | − | 0.722251i | \(-0.256892\pi\) | |||||||
\(102\) | −11.0031 | + | 6.17471i | −1.08947 | + | 0.611387i | ||||
\(103\) | −4.72764 | + | 4.72764i | −0.465828 | + | 0.465828i | −0.900560 | − | 0.434732i | \(-0.856843\pi\) |
0.434732 | + | 0.900560i | \(0.356843\pi\) | |||||||
\(104\) | −8.88784 | − | 9.56431i | −0.871524 | − | 0.937858i | ||||
\(105\) | −3.03127 | − | 3.03127i | −0.295822 | − | 0.295822i | ||||
\(106\) | 6.77123 | + | 1.90329i | 0.657680 | + | 0.184864i | ||||
\(107\) | 2.57774 | − | 1.06774i | 0.249200 | − | 0.103222i | −0.254587 | − | 0.967050i | \(-0.581940\pi\) |
0.503787 | + | 0.863828i | \(0.331940\pi\) | |||||||
\(108\) | 0.334904 | − | 0.244219i | 0.0322262 | − | 0.0235000i | ||||
\(109\) | 3.46094 | − | 8.35544i | 0.331498 | − | 0.800306i | −0.666976 | − | 0.745079i | \(-0.732412\pi\) |
0.998474 | − | 0.0552270i | \(-0.0175882\pi\) | |||||||
\(110\) | −1.23681 | − | 10.3720i | −0.117925 | − | 0.988932i | ||||
\(111\) | − | 3.29316i | − | 0.312573i | ||||||
\(112\) | 1.15010 | − | 3.58226i | 0.108674 | − | 0.338491i | ||||
\(113\) | 11.7757i | 1.10776i | 0.832596 | + | 0.553881i | \(0.186854\pi\) | ||||
−0.832596 | + | 0.553881i | \(0.813146\pi\) | |||||||
\(114\) | −1.76319 | + | 0.210252i | −0.165138 | + | 0.0196919i | ||||
\(115\) | −1.33490 | + | 3.22274i | −0.124480 | + | 0.300522i | ||||
\(116\) | 1.92181 | − | 12.2728i | 0.178435 | − | 1.13950i | ||||
\(117\) | −13.1526 | + | 5.44798i | −1.21596 | + | 0.503666i | ||||
\(118\) | −2.04784 | + | 7.28549i | −0.188519 | + | 0.670683i | ||||
\(119\) | 2.40569 | + | 2.40569i | 0.220529 | + | 0.220529i | ||||
\(120\) | −11.7210 | − | 5.36618i | −1.06997 | − | 0.489863i | ||||
\(121\) | 3.52035 | − | 3.52035i | 0.320032 | − | 0.320032i | ||||
\(122\) | 10.2706 | + | 18.3019i | 0.929855 | + | 1.65697i | ||||
\(123\) | −2.22903 | − | 5.38136i | −0.200985 | − | 0.485221i | ||||
\(124\) | 0.550984 | + | 2.27744i | 0.0494798 | + | 0.204520i | ||||
\(125\) | −11.2426 | − | 4.65685i | −1.00557 | − | 0.416522i | ||||
\(126\) | −3.22386 | − | 2.53691i | −0.287204 | − | 0.226006i | ||||
\(127\) | 13.0590 | 1.15880 | 0.579400 | − | 0.815043i | \(-0.303287\pi\) | ||||
0.579400 | + | 0.815043i | \(0.303287\pi\) | |||||||
\(128\) | −0.513421 | − | 11.3021i | −0.0453804 | − | 0.998970i | ||||
\(129\) | 6.80695 | 0.599319 | ||||||||
\(130\) | 9.47945 | + | 7.45956i | 0.831403 | + | 0.654246i | ||||
\(131\) | −6.52146 | − | 2.70128i | −0.569783 | − | 0.236012i | 0.0791431 | − | 0.996863i | \(-0.474782\pi\) |
−0.648926 | + | 0.760851i | \(0.724782\pi\) | |||||||
\(132\) | −4.63696 | − | 19.1665i | −0.403595 | − | 1.66823i | ||||
\(133\) | 0.183228 | + | 0.442353i | 0.0158879 | + | 0.0383568i | ||||
\(134\) | −2.55162 | − | 4.54691i | −0.220427 | − | 0.392793i | ||||
\(135\) | −0.270780 | + | 0.270780i | −0.0233050 | + | 0.0233050i | ||||
\(136\) | 9.30205 | + | 4.25873i | 0.797644 | + | 0.365183i | ||||
\(137\) | 4.88118 | + | 4.88118i | 0.417027 | + | 0.417027i | 0.884178 | − | 0.467151i | \(-0.154719\pi\) |
−0.467151 | + | 0.884178i | \(0.654719\pi\) | |||||||
\(138\) | −1.78197 | + | 6.33962i | −0.151691 | + | 0.539664i | ||||
\(139\) | −11.7837 | + | 4.88098i | −0.999482 | + | 0.413999i | −0.821607 | − | 0.570054i | \(-0.806922\pi\) |
−0.177875 | + | 0.984053i | \(0.556922\pi\) | |||||||
\(140\) | −0.537750 | + | 3.43411i | −0.0454482 | + | 0.290235i | ||||
\(141\) | 1.41421 | − | 3.41421i | 0.119098 | − | 0.287529i | ||||
\(142\) | −19.1872 | + | 2.28798i | −1.61015 | + | 0.192003i | ||||
\(143\) | 18.4522i | 1.54305i | ||||||||
\(144\) | −11.7456 | − | 3.77097i | −0.978799 | − | 0.314247i | ||||
\(145\) | 11.4768i | 0.953093i | ||||||||
\(146\) | −1.78975 | − | 15.0090i | −0.148121 | − | 1.24215i | ||||
\(147\) | 5.77235 | − | 13.9357i | 0.476095 | − | 1.14940i | ||||
\(148\) | −2.15750 | + | 1.57329i | −0.177346 | + | 0.129324i | ||||
\(149\) | −5.73838 | + | 2.37691i | −0.470106 | + | 0.194724i | −0.605144 | − | 0.796116i | \(-0.706884\pi\) |
0.135038 | + | 0.990840i | \(0.456884\pi\) | |||||||
\(150\) | −5.32528 | − | 1.49685i | −0.434807 | − | 0.122218i | ||||
\(151\) | 11.1504 | + | 11.1504i | 0.907405 | + | 0.907405i | 0.996062 | − | 0.0886573i | \(-0.0282576\pi\) |
−0.0886573 | + | 0.996062i | \(0.528258\pi\) | |||||||
\(152\) | 0.980103 | + | 1.05470i | 0.0794968 | + | 0.0855475i | ||||
\(153\) | 7.88784 | − | 7.88784i | 0.637694 | − | 0.637694i | ||||
\(154\) | −4.63696 | + | 2.60215i | −0.373657 | + | 0.209688i | ||||
\(155\) | −0.828427 | − | 2.00000i | −0.0665409 | − | 0.160644i | ||||
\(156\) | 19.4372 | + | 11.8644i | 1.55623 | + | 0.949913i | ||||
\(157\) | 1.22496 | + | 0.507395i | 0.0977624 | + | 0.0404945i | 0.431029 | − | 0.902338i | \(-0.358151\pi\) |
−0.333266 | + | 0.942833i | \(0.608151\pi\) | |||||||
\(158\) | 15.0578 | − | 19.1352i | 1.19794 | − | 1.52231i | ||||
\(159\) | −12.2676 | −0.972886 | ||||||||
\(160\) | 2.08402 | + | 10.2426i | 0.164756 | + | 0.809752i | ||||
\(161\) | 1.77568 | 0.139943 | ||||||||
\(162\) | 7.64441 | − | 9.71436i | 0.600602 | − | 0.763232i | ||||
\(163\) | 21.3218 | + | 8.83176i | 1.67005 | + | 0.691757i | 0.998776 | − | 0.0494542i | \(-0.0157482\pi\) |
0.671272 | + | 0.741211i | \(0.265748\pi\) | |||||||
\(164\) | −2.46067 | + | 4.03127i | −0.192146 | + | 0.314790i | ||||
\(165\) | 6.97186 | + | 16.8316i | 0.542759 | + | 1.31034i | ||||
\(166\) | 15.5652 | − | 8.73485i | 1.20810 | − | 0.677956i | ||||
\(167\) | 10.8863 | − | 10.8863i | 0.842404 | − | 0.842404i | −0.146767 | − | 0.989171i | \(-0.546887\pi\) |
0.989171 | + | 0.146767i | \(0.0468867\pi\) | |||||||
\(168\) | −0.240409 | + | 6.55765i | −0.0185480 | + | 0.505933i | ||||
\(169\) | −5.87515 | − | 5.87515i | −0.451935 | − | 0.451935i | ||||
\(170\) | −9.09921 | − | 2.55765i | −0.697877 | − | 0.196163i | ||||
\(171\) | 1.45040 | − | 0.600774i | 0.110915 | − | 0.0459423i | ||||
\(172\) | −3.25200 | − | 4.45956i | −0.247963 | − | 0.340038i | ||||
\(173\) | 0.735246 | − | 1.77504i | 0.0558997 | − | 0.134954i | −0.893462 | − | 0.449138i | \(-0.851731\pi\) |
0.949362 | + | 0.314184i | \(0.101731\pi\) | |||||||
\(174\) | 2.56543 | + | 21.5139i | 0.194485 | + | 1.63096i | ||||
\(175\) | 1.49157i | 0.112752i | ||||||||
\(176\) | −10.3416 | + | 12.1946i | −0.779525 | + | 0.919203i | ||||
\(177\) | − | 13.1993i | − | 0.992121i | ||||||
\(178\) | −10.8011 | + | 1.28798i | −0.809578 | + | 0.0965384i | ||||
\(179\) | −1.87980 | + | 4.53823i | −0.140503 | + | 0.339203i | −0.978430 | − | 0.206578i | \(-0.933767\pi\) |
0.837928 | + | 0.545782i | \(0.183767\pi\) | |||||||
\(180\) | 11.2598 | + | 1.76319i | 0.839259 | + | 0.131420i | ||||
\(181\) | 1.87868 | − | 0.778175i | 0.139641 | − | 0.0578413i | −0.311768 | − | 0.950158i | \(-0.600921\pi\) |
0.451410 | + | 0.892317i | \(0.350921\pi\) | |||||||
\(182\) | 1.66157 | − | 5.91127i | 0.123163 | − | 0.438172i | ||||
\(183\) | −25.8827 | − | 25.8827i | −1.91331 | − | 1.91331i | ||||
\(184\) | 5.00471 | − | 1.86128i | 0.368952 | − | 0.137215i | ||||
\(185\) | 1.74441 | − | 1.74441i | 0.128251 | − | 0.128251i | ||||
\(186\) | −2.00000 | − | 3.56394i | −0.146647 | − | 0.261321i | ||||
\(187\) | −5.53304 | − | 13.3579i | −0.404616 | − | 0.976829i | ||||
\(188\) | −2.91245 | + | 0.704611i | −0.212412 | + | 0.0513890i | ||||
\(189\) | 0.180095 | + | 0.0745976i | 0.0131000 | + | 0.00542618i | ||||
\(190\) | −1.04534 | − | 0.822599i | −0.0758371 | − | 0.0596776i | ||||
\(191\) | −19.4022 | −1.40389 | −0.701946 | − | 0.712231i | \(-0.747685\pi\) | ||||
−0.701946 | + | 0.712231i | \(0.747685\pi\) | |||||||
\(192\) | 6.19618 | + | 18.7346i | 0.447171 | + | 1.35205i | ||||
\(193\) | −18.0461 | −1.29898 | −0.649492 | − | 0.760368i | \(-0.725018\pi\) | ||||
−0.649492 | + | 0.760368i | \(0.725018\pi\) | |||||||
\(194\) | 6.84451 | + | 5.38607i | 0.491408 | + | 0.386698i | ||||
\(195\) | −19.4372 | − | 8.05117i | −1.39193 | − | 0.576556i | ||||
\(196\) | −11.8876 | + | 2.87599i | −0.849117 | + | 0.205428i | ||||
\(197\) | −0.0865175 | − | 0.208872i | −0.00616412 | − | 0.0148815i | 0.920768 | − | 0.390112i | \(-0.127564\pi\) |
−0.926932 | + | 0.375230i | \(0.877564\pi\) | |||||||
\(198\) | 8.53200 | + | 15.2038i | 0.606343 | + | 1.08048i | ||||
\(199\) | −11.8992 | + | 11.8992i | −0.843513 | + | 0.843513i | −0.989314 | − | 0.145801i | \(-0.953424\pi\) |
0.145801 | + | 0.989314i | \(0.453424\pi\) | |||||||
\(200\) | 1.56348 | + | 4.20396i | 0.110554 | + | 0.297265i | ||||
\(201\) | 6.43030 | + | 6.43030i | 0.453558 | + | 0.453558i | ||||
\(202\) | 3.09671 | − | 11.0170i | 0.217884 | − | 0.775154i | ||||
\(203\) | 5.39745 | − | 2.23570i | 0.378827 | − | 0.156915i | ||||
\(204\) | −17.6287 | − | 2.76049i | −1.23426 | − | 0.193273i | ||||
\(205\) | 1.66981 | − | 4.03127i | 0.116624 | − | 0.281556i | ||||
\(206\) | −9.38877 | + | 1.11957i | −0.654146 | + | 0.0780039i | ||||
\(207\) | − | 5.82214i | − | 0.404667i | ||||||
\(208\) | −1.51314 | − | 18.4024i | −0.104917 | − | 1.27598i | ||||
\(209\) | − | 2.03480i | − | 0.140750i | ||||||
\(210\) | −0.717844 | − | 6.01990i | −0.0495360 | − | 0.415412i | ||||
\(211\) | −3.73060 | + | 9.00647i | −0.256825 | + | 0.620031i | −0.998725 | − | 0.0504799i | \(-0.983925\pi\) |
0.741900 | + | 0.670511i | \(0.233925\pi\) | |||||||
\(212\) | 5.86082 | + | 8.03710i | 0.402522 | + | 0.551990i | ||||
\(213\) | 31.1367 | − | 12.8973i | 2.13345 | − | 0.883706i | ||||
\(214\) | 3.79863 | + | 1.06774i | 0.259669 | + | 0.0729889i | ||||
\(215\) | 3.60568 | + | 3.60568i | 0.245906 | + | 0.245906i | ||||
\(216\) | 0.585786 | + | 0.0214754i | 0.0398577 | + | 0.00146122i | ||||
\(217\) | −0.779208 | + | 0.779208i | −0.0528961 | + | 0.0528961i | ||||
\(218\) | 11.1537 | − | 6.25921i | 0.755425 | − | 0.423927i | ||||
\(219\) | 10.0887 | + | 24.3564i | 0.681733 | + | 1.64585i | ||||
\(220\) | 7.69637 | − | 12.6088i | 0.518889 | − | 0.850086i | ||||
\(221\) | 15.4259 | + | 6.38960i | 1.03766 | + | 0.429811i | ||||
\(222\) | 2.88006 | − | 3.65992i | 0.193297 | − | 0.245638i | ||||
\(223\) | 22.6174 | 1.51458 | 0.757288 | − | 0.653081i | \(-0.226524\pi\) | ||||
0.757288 | + | 0.653081i | \(0.226524\pi\) | |||||||
\(224\) | 4.41108 | − | 2.97539i | 0.294728 | − | 0.198802i | ||||
\(225\) | 4.89060 | 0.326040 | ||||||||
\(226\) | −10.2985 | + | 13.0872i | −0.685048 | + | 0.870545i | ||||
\(227\) | −9.51294 | − | 3.94039i | −0.631396 | − | 0.261533i | 0.0439500 | − | 0.999034i | \(-0.486006\pi\) |
−0.675346 | + | 0.737501i | \(0.736006\pi\) | |||||||
\(228\) | −2.14343 | − | 1.30834i | −0.141952 | − | 0.0866471i | ||||
\(229\) | −6.53200 | − | 15.7697i | −0.431647 | − | 1.04209i | −0.978756 | − | 0.205027i | \(-0.934272\pi\) |
0.547109 | − | 0.837061i | \(-0.315728\pi\) | |||||||
\(230\) | −4.30205 | + | 2.41421i | −0.283669 | + | 0.159189i | ||||
\(231\) | 6.55765 | − | 6.55765i | 0.431462 | − | 0.431462i | ||||
\(232\) | 12.8691 | − | 11.9589i | 0.844899 | − | 0.785141i | ||||
\(233\) | 10.4486 | + | 10.4486i | 0.684512 | + | 0.684512i | 0.961013 | − | 0.276502i | \(-0.0891751\pi\) |
−0.276502 | + | 0.961013i | \(0.589175\pi\) | |||||||
\(234\) | −19.3820 | − | 5.44798i | −1.26704 | − | 0.356146i | ||||
\(235\) | 2.55765 | − | 1.05941i | 0.166843 | − | 0.0691084i | ||||
\(236\) | −8.64750 | + | 6.30593i | −0.562904 | + | 0.410481i | ||||
\(237\) | −16.2521 | + | 39.2360i | −1.05569 | + | 2.54865i | ||||
\(238\) | 0.569699 | + | 4.77754i | 0.0369281 | + | 0.309682i | ||||
\(239\) | − | 11.6733i | − | 0.755085i | −0.925992 | − | 0.377543i | \(-0.876769\pi\) | ||
0.925992 | − | 0.377543i | \(-0.123231\pi\) | |||||||
\(240\) | −8.33333 | − | 16.2145i | −0.537914 | − | 1.04664i | ||||
\(241\) | − | 13.8288i | − | 0.890791i | −0.895334 | − | 0.445396i | \(-0.853063\pi\) | ||
0.895334 | − | 0.445396i | \(-0.146937\pi\) | |||||||
\(242\) | 6.99117 | − | 0.833664i | 0.449409 | − | 0.0535899i | ||||
\(243\) | −8.48861 | + | 20.4933i | −0.544545 | + | 1.31465i | ||||
\(244\) | −4.59161 | + | 29.3224i | −0.293948 | + | 1.87717i | ||||
\(245\) | 10.4395 | − | 4.32417i | 0.666953 | − | 0.276261i | ||||
\(246\) | 2.22903 | − | 7.93011i | 0.142118 | − | 0.505606i | ||||
\(247\) | 1.66157 | + | 1.66157i | 0.105723 | + | 0.105723i | ||||
\(248\) | −1.37941 | + | 3.01295i | −0.0875927 | + | 0.191323i | ||||
\(249\) | −22.0126 | + | 22.0126i | −1.39499 | + | 1.39499i | ||||
\(250\) | −8.42206 | − | 15.0078i | −0.532658 | − | 0.949180i | ||||
\(251\) | 5.38745 | + | 13.0065i | 0.340053 | + | 0.820961i | 0.997710 | + | 0.0676429i | \(0.0215479\pi\) |
−0.657656 | + | 0.753318i | \(0.728452\pi\) | |||||||
\(252\) | −1.36423 | − | 5.63891i | −0.0859381 | − | 0.355218i | ||||
\(253\) | −6.97186 | − | 2.88784i | −0.438317 | − | 0.181557i | ||||
\(254\) | 14.5134 | + | 11.4209i | 0.910653 | + | 0.716610i | ||||
\(255\) | 16.4853 | 1.03235 | ||||||||
\(256\) | 9.31371 | − | 13.0098i | 0.582107 | − | 0.813112i | ||||
\(257\) | −18.9043 | −1.17922 | −0.589609 | − | 0.807689i | \(-0.700718\pi\) | ||||
−0.589609 | + | 0.807689i | \(0.700718\pi\) | |||||||
\(258\) | 7.56505 | + | 5.95308i | 0.470980 | + | 0.370623i | ||||
\(259\) | −1.16020 | − | 0.480569i | −0.0720911 | − | 0.0298611i | ||||
\(260\) | 4.01138 | + | 16.5807i | 0.248775 | + | 1.02829i | ||||
\(261\) | −7.33046 | − | 17.6973i | −0.453744 | − | 1.09543i | ||||
\(262\) | −4.88534 | − | 8.70553i | −0.301818 | − | 0.537829i | ||||
\(263\) | 13.9086 | − | 13.9086i | 0.857643 | − | 0.857643i | −0.133417 | − | 0.991060i | \(-0.542595\pi\) |
0.991060 | + | 0.133417i | \(0.0425948\pi\) | |||||||
\(264\) | 11.6088 | − | 25.3564i | 0.714473 | − | 1.56058i | ||||
\(265\) | −6.49824 | − | 6.49824i | −0.399183 | − | 0.399183i | ||||
\(266\) | −0.183228 | + | 0.651862i | −0.0112345 | + | 0.0399682i | ||||
\(267\) | 17.5279 | − | 7.26031i | 1.07269 | − | 0.444324i | ||||
\(268\) | 1.14074 | − | 7.28485i | 0.0696818 | − | 0.444993i | ||||
\(269\) | 5.05209 | − | 12.1968i | 0.308031 | − | 0.743653i | −0.691737 | − | 0.722149i | \(-0.743154\pi\) |
0.999769 | − | 0.0215042i | \(-0.00684553\pi\) | |||||||
\(270\) | −0.537750 | + | 0.0641242i | −0.0327264 | + | 0.00390247i | ||||
\(271\) | 4.41512i | 0.268199i | 0.990968 | + | 0.134100i | \(0.0428142\pi\) | ||||
−0.990968 | + | 0.134100i | \(0.957186\pi\) | |||||||
\(272\) | 6.61353 | + | 12.8682i | 0.401004 | + | 0.780251i | ||||
\(273\) | 10.7096i | 0.648175i | ||||||||
\(274\) | 1.15593 | + | 9.69368i | 0.0698320 | + | 0.585616i | ||||
\(275\) | 2.42579 | − | 5.85637i | 0.146280 | − | 0.353152i | ||||
\(276\) | −7.52480 | + | 5.48723i | −0.452940 | + | 0.330293i | ||||
\(277\) | −23.0454 | + | 9.54573i | −1.38467 | + | 0.573547i | −0.945725 | − | 0.324969i | \(-0.894646\pi\) |
−0.438941 | + | 0.898516i | \(0.644646\pi\) | |||||||
\(278\) | −17.3648 | − | 4.88098i | −1.04147 | − | 0.292742i | ||||
\(279\) | 2.55489 | + | 2.55489i | 0.152957 | + | 0.152957i | ||||
\(280\) | −3.60097 | + | 3.34628i | −0.215199 | + | 0.199978i | ||||
\(281\) | −5.83509 | + | 5.83509i | −0.348092 | + | 0.348092i | −0.859399 | − | 0.511306i | \(-0.829162\pi\) |
0.511306 | + | 0.859399i | \(0.329162\pi\) | |||||||
\(282\) | 4.55765 | − | 2.55765i | 0.271404 | − | 0.152306i | ||||
\(283\) | 1.31992 | + | 3.18656i | 0.0784609 | + | 0.189421i | 0.958243 | − | 0.285957i | \(-0.0923113\pi\) |
−0.879782 | + | 0.475378i | \(0.842311\pi\) | |||||||
\(284\) | −23.3251 | − | 14.2375i | −1.38409 | − | 0.844842i | ||||
\(285\) | 2.14343 | + | 0.887839i | 0.126966 | + | 0.0525911i | ||||
\(286\) | −16.1375 | + | 20.5072i | −0.954230 | + | 1.21262i | ||||
\(287\) | −2.22117 | −0.131111 | ||||||||
\(288\) | −9.75578 | − | 14.4632i | −0.574865 | − | 0.852249i | ||||
\(289\) | 3.91688 | 0.230405 | ||||||||
\(290\) | −10.0371 | + | 12.7549i | −0.589399 | + | 0.748996i | ||||
\(291\) | −14.0344 | − | 5.81324i | −0.822712 | − | 0.340778i | ||||
\(292\) | 11.1371 | − | 18.2458i | 0.651752 | − | 1.06775i | ||||
\(293\) | 2.89663 | + | 6.99307i | 0.169223 | + | 0.408540i | 0.985626 | − | 0.168943i | \(-0.0540353\pi\) |
−0.816403 | + | 0.577482i | \(0.804035\pi\) | |||||||
\(294\) | 18.6028 | − | 10.4395i | 1.08494 | − | 0.608842i | ||||
\(295\) | 6.99176 | − | 6.99176i | 0.407076 | − | 0.407076i | ||||
\(296\) | −3.77373 | − | 0.138348i | −0.219343 | − | 0.00804132i | ||||
\(297\) | −0.585786 | − | 0.585786i | −0.0339908 | − | 0.0339908i | ||||
\(298\) | −8.45622 | − | 2.37691i | −0.489856 | − | 0.137691i | ||||
\(299\) | 8.05117 | − | 3.33490i | 0.465611 | − | 0.192862i | ||||
\(300\) | −4.60928 | − | 6.32083i | −0.266117 | − | 0.364934i | ||||
\(301\) | 0.993336 | − | 2.39813i | 0.0572550 | − | 0.138226i | ||||
\(302\) | 2.64055 | + | 22.1439i | 0.151947 | + | 1.27424i | ||||
\(303\) | 19.9598i | 1.14666i | ||||||||
\(304\) | 0.166861 | + | 2.02932i | 0.00957013 | + | 0.116390i | ||||
\(305\) | − | 27.4205i | − | 1.57009i | ||||||
\(306\) | 15.6647 | − | 1.86794i | 0.895491 | − | 0.106783i | ||||
\(307\) | −3.14481 | + | 7.59225i | −0.179484 | + | 0.433313i | −0.987859 | − | 0.155356i | \(-0.950348\pi\) |
0.808375 | + | 0.588668i | \(0.200348\pi\) | |||||||
\(308\) | −7.42912 | − | 1.16333i | −0.423313 | − | 0.0662869i | ||||
\(309\) | 15.2360 | − | 6.31095i | 0.866744 | − | 0.359017i | ||||
\(310\) | 0.828427 | − | 2.94725i | 0.0470515 | − | 0.167393i | ||||
\(311\) | −15.0543 | − | 15.0543i | −0.853651 | − | 0.853651i | 0.136930 | − | 0.990581i | \(-0.456277\pi\) |
−0.990581 | + | 0.136930i | \(0.956277\pi\) | |||||||
\(312\) | 11.2259 | + | 30.1848i | 0.635540 | + | 1.70888i | ||||
\(313\) | 18.3365 | − | 18.3365i | 1.03644 | − | 1.03644i | 0.0371274 | − | 0.999311i | \(-0.488179\pi\) |
0.999311 | − | 0.0371274i | \(-0.0118208\pi\) | |||||||
\(314\) | 0.917639 | + | 1.63520i | 0.0517853 | + | 0.0922798i | ||||
\(315\) | 2.05117 | + | 4.95196i | 0.115570 | + | 0.279012i | ||||
\(316\) | 33.4697 | − | 8.09735i | 1.88282 | − | 0.455511i | ||||
\(317\) | −9.52348 | − | 3.94476i | −0.534892 | − | 0.221560i | 0.0988523 | − | 0.995102i | \(-0.468483\pi\) |
−0.633744 | + | 0.773543i | \(0.718483\pi\) | |||||||
\(318\) | −13.6339 | − | 10.7288i | −0.764551 | − | 0.601639i | ||||
\(319\) | −24.8280 | −1.39010 | ||||||||
\(320\) | −6.64167 | + | 13.2060i | −0.371281 | + | 0.738237i | ||||
\(321\) | −6.88208 | −0.384120 | ||||||||
\(322\) | 1.97344 | + | 1.55294i | 0.109975 | + | 0.0865417i | ||||
\(323\) | −1.70108 | − | 0.704611i | −0.0946507 | − | 0.0392056i | ||||
\(324\) | 16.9916 | − | 4.11078i | 0.943976 | − | 0.228377i | ||||
\(325\) | 2.80132 | + | 6.76299i | 0.155389 | + | 0.375143i | ||||
\(326\) | 15.9725 | + | 28.4625i | 0.884635 | + | 1.57639i | ||||
\(327\) | −15.7737 | + | 15.7737i | −0.872289 | + | 0.872289i | ||||
\(328\) | −6.26031 | + | 2.32824i | −0.345668 | + | 0.128556i | ||||
\(329\) | −0.996470 | − | 0.996470i | −0.0549372 | − | 0.0549372i | ||||
\(330\) | −6.97186 | + | 24.8034i | −0.383788 | + | 1.36538i | ||||
\(331\) | 7.57421 | − | 3.13734i | 0.416316 | − | 0.172444i | −0.164685 | − | 0.986346i | \(-0.552661\pi\) |
0.581002 | + | 0.813902i | \(0.302661\pi\) | |||||||
\(332\) | 24.9379 | + | 3.90504i | 1.36864 | + | 0.214317i | ||||
\(333\) | −1.57570 | + | 3.80408i | −0.0863480 | + | 0.208462i | ||||
\(334\) | 21.6194 | − | 2.57801i | 1.18296 | − | 0.141062i | ||||
\(335\) | 6.81234i | 0.372198i | ||||||||
\(336\) | −6.00223 | + | 7.07773i | −0.327449 | + | 0.386122i | ||||
\(337\) | 16.8910i | 0.920110i | 0.887890 | + | 0.460055i | \(0.152170\pi\) | ||||
−0.887890 | + | 0.460055i | \(0.847830\pi\) | |||||||
\(338\) | −1.39131 | − | 11.6676i | −0.0756773 | − | 0.634636i | ||||
\(339\) | 11.1153 | − | 26.8347i | 0.603700 | − | 1.45746i | ||||
\(340\) | −7.87579 | − | 10.8003i | −0.427125 | − | 0.585728i | ||||
\(341\) | 4.32666 | − | 1.79216i | 0.234302 | − | 0.0970510i | ||||
\(342\) | 2.13734 | + | 0.600774i | 0.115574 | + | 0.0324861i | ||||
\(343\) | −8.72293 | − | 8.72293i | −0.470994 | − | 0.470994i | ||||
\(344\) | 0.285965 | − | 7.80029i | 0.0154182 | − | 0.420563i | ||||
\(345\) | 6.08402 | − | 6.08402i | 0.327553 | − | 0.327553i | ||||
\(346\) | 2.36951 | − | 1.32971i | 0.127386 | − | 0.0714859i | ||||
\(347\) | −11.6582 | − | 28.1455i | −0.625847 | − | 1.51093i | −0.844739 | − | 0.535179i | \(-0.820244\pi\) |
0.218892 | − | 0.975749i | \(-0.429756\pi\) | |||||||
\(348\) | −15.9640 | + | 26.1535i | −0.855760 | + | 1.40198i | ||||
\(349\) | 9.99044 | + | 4.13818i | 0.534776 | + | 0.221512i | 0.633694 | − | 0.773584i | \(-0.281538\pi\) |
−0.0989174 | + | 0.995096i | \(0.531538\pi\) | |||||||
\(350\) | −1.30447 | + | 1.65769i | −0.0697267 | + | 0.0886073i | ||||
\(351\) | 0.956675 | 0.0510636 | ||||||||
\(352\) | −22.1582 | + | 4.50843i | −1.18104 | + | 0.240300i | ||||
\(353\) | 0.673711 | 0.0358580 | 0.0179290 | − | 0.999839i | \(-0.494293\pi\) | ||||
0.0179290 | + | 0.999839i | \(0.494293\pi\) | |||||||
\(354\) | 11.5436 | − | 14.6693i | 0.613534 | − | 0.779667i | ||||
\(355\) | 23.3251 | + | 9.66157i | 1.23797 | + | 0.512783i | ||||
\(356\) | −13.1305 | − | 8.01479i | −0.695914 | − | 0.424783i | ||||
\(357\) | −3.21137 | − | 7.75293i | −0.169964 | − | 0.410328i | ||||
\(358\) | −6.05810 | + | 3.39967i | −0.320180 | + | 0.179678i | ||||
\(359\) | 3.92568 | − | 3.92568i | 0.207190 | − | 0.207190i | −0.595882 | − | 0.803072i | \(-0.703198\pi\) |
0.803072 | + | 0.595882i | \(0.203198\pi\) | |||||||
\(360\) | 10.9719 | + | 11.8070i | 0.578268 | + | 0.622281i | ||||
\(361\) | 13.2518 | + | 13.2518i | 0.697463 | + | 0.697463i | ||||
\(362\) | 2.76847 | + | 0.778175i | 0.145508 | + | 0.0408999i | ||||
\(363\) | −11.3452 | + | 4.69933i | −0.595467 | + | 0.246651i | ||||
\(364\) | 7.01637 | − | 5.11648i | 0.367758 | − | 0.268176i | ||||
\(365\) | −7.55765 | + | 18.2458i | −0.395585 | + | 0.955027i | ||||
\(366\) | −6.12936 | − | 51.4013i | −0.320387 | − | 2.68679i | ||||
\(367\) | 16.4759i | 0.860033i | 0.902821 | + | 0.430016i | \(0.141492\pi\) | ||||
−0.902821 | + | 0.430016i | \(0.858508\pi\) | |||||||
\(368\) | 7.18989 | + | 2.30834i | 0.374799 | + | 0.120331i | ||||
\(369\) | 7.28281i | 0.379128i | ||||||||
\(370\) | 3.46427 | − | 0.413098i | 0.180099 | − | 0.0214759i | ||||
\(371\) | −1.79021 | + | 4.32195i | −0.0929431 | + | 0.224384i | ||||
\(372\) | 0.894129 | − | 5.70998i | 0.0463584 | − | 0.296048i | ||||
\(373\) | −12.6790 | + | 5.25180i | −0.656492 | + | 0.271928i | −0.685962 | − | 0.727638i | \(-0.740618\pi\) |
0.0294695 | + | 0.999566i | \(0.490618\pi\) | |||||||
\(374\) | 5.53304 | − | 19.6846i | 0.286107 | − | 1.01787i | ||||
\(375\) | 21.2243 | + | 21.2243i | 1.09602 | + | 1.09602i | ||||
\(376\) | −3.85304 | − | 1.76402i | −0.198705 | − | 0.0909725i | ||||
\(377\) | 20.2739 | − | 20.2739i | 1.04416 | − | 1.04416i | ||||
\(378\) | 0.134912 | + | 0.240409i | 0.00693913 | + | 0.0123653i | ||||
\(379\) | −5.06746 | − | 12.2339i | −0.260298 | − | 0.628414i | 0.738659 | − | 0.674079i | \(-0.235459\pi\) |
−0.998957 | + | 0.0456649i | \(0.985459\pi\) | |||||||
\(380\) | −0.442353 | − | 1.82843i | −0.0226922 | − | 0.0937963i | ||||
\(381\) | −29.7592 | − | 12.3267i | −1.52461 | − | 0.631514i | ||||
\(382\) | −21.5630 | − | 16.9683i | −1.10326 | − | 0.868175i | ||||
\(383\) | 14.5667 | 0.744322 | 0.372161 | − | 0.928168i | \(-0.378617\pi\) | ||||
0.372161 | + | 0.928168i | \(0.378617\pi\) | |||||||
\(384\) | −9.49824 | + | 26.2400i | −0.484705 | + | 1.33906i | ||||
\(385\) | 6.94725 | 0.354065 | ||||||||
\(386\) | −20.0559 | − | 15.7823i | −1.02082 | − | 0.803300i | ||||
\(387\) | −7.86303 | − | 3.25697i | −0.399700 | − | 0.165561i | ||||
\(388\) | 2.89636 | + | 11.9719i | 0.147040 | + | 0.607779i | ||||
\(389\) | 14.2795 | + | 34.4739i | 0.724002 | + | 1.74789i | 0.661617 | + | 0.749842i | \(0.269871\pi\) |
0.0623850 | + | 0.998052i | \(0.480129\pi\) | |||||||
\(390\) | −14.5608 | − | 25.9469i | −0.737314 | − | 1.31387i | ||||
\(391\) | −4.82843 | + | 4.82843i | −0.244184 | + | 0.244184i | ||||
\(392\) | −15.7268 | − | 7.20015i | −0.794324 | − | 0.363663i | ||||
\(393\) | 12.3115 | + | 12.3115i | 0.621032 | + | 0.621032i | ||||
\(394\) | 0.0865175 | − | 0.307799i | 0.00435869 | − | 0.0155067i | ||||
\(395\) | −29.3923 | + | 12.1747i | −1.47889 | + | 0.612576i | ||||
\(396\) | −3.81436 | + | 24.3588i | −0.191679 | + | 1.22407i | ||||
\(397\) | 8.88405 | − | 21.4480i | 0.445877 | − | 1.07644i | −0.527975 | − | 0.849260i | \(-0.677048\pi\) |
0.973852 | − | 0.227183i | \(-0.0729516\pi\) | |||||||
\(398\) | −23.6310 | + | 2.81789i | −1.18452 | + | 0.141248i | ||||
\(399\) | − | 1.18100i | − | 0.0591238i | ||||||
\(400\) | −1.93901 | + | 6.03951i | −0.0969505 | + | 0.301976i | ||||
\(401\) | 2.51509i | 0.125598i | 0.998026 | + | 0.0627989i | \(0.0200027\pi\) | ||||
−0.998026 | + | 0.0627989i | \(0.979997\pi\) | |||||||
\(402\) | 1.52278 | + | 12.7701i | 0.0759493 | + | 0.636916i | ||||
\(403\) | −2.06961 | + | 4.99647i | −0.103094 | + | 0.248892i | ||||
\(404\) | 13.0766 | − | 9.53573i | 0.650586 | − | 0.474420i | ||||
\(405\) | −14.9216 | + | 6.18073i | −0.741461 | + | 0.307123i | ||||
\(406\) | 7.95382 | + | 2.23570i | 0.394742 | + | 0.110956i | ||||
\(407\) | 3.77373 | + | 3.77373i | 0.187057 | + | 0.187057i | ||||
\(408\) | −17.1778 | − | 18.4853i | −0.850430 | − | 0.915158i | ||||
\(409\) | −5.32666 | + | 5.32666i | −0.263386 | + | 0.263386i | −0.826428 | − | 0.563042i | \(-0.809631\pi\) |
0.563042 | + | 0.826428i | \(0.309631\pi\) | |||||||
\(410\) | 5.38136 | − | 3.01990i | 0.265767 | − | 0.149142i | ||||
\(411\) | −6.51590 | − | 15.7308i | −0.321406 | − | 0.775942i | ||||
\(412\) | −11.4135 | − | 6.96678i | −0.562305 | − | 0.343228i | ||||
\(413\) | −4.65019 | − | 1.92617i | −0.228821 | − | 0.0947807i | ||||
\(414\) | 5.09180 | − | 6.47056i | 0.250248 | − | 0.318011i | ||||
\(415\) | −23.3204 | −1.14475 | ||||||||
\(416\) | 14.4124 | − | 21.7753i | 0.706624 | − | 1.06762i | ||||
\(417\) | 31.4603 | 1.54062 | ||||||||
\(418\) | 1.77955 | − | 2.26142i | 0.0870409 | − | 0.110610i | ||||
\(419\) | 10.5509 | + | 4.37032i | 0.515444 | + | 0.213504i | 0.625214 | − | 0.780453i | \(-0.285012\pi\) |
−0.109770 | + | 0.993957i | \(0.535012\pi\) | |||||||
\(420\) | 4.46696 | − | 7.31814i | 0.217965 | − | 0.357089i | ||||
\(421\) | 1.72505 | + | 4.16464i | 0.0840739 | + | 0.202972i | 0.960326 | − | 0.278881i | \(-0.0899636\pi\) |
−0.876252 | + | 0.481854i | \(0.839964\pi\) | |||||||
\(422\) | −12.0228 | + | 6.74690i | −0.585259 | + | 0.328434i | ||||
\(423\) | −3.26725 | + | 3.26725i | −0.158859 | + | 0.158859i | ||||
\(424\) | −0.515372 | + | 14.0578i | −0.0250287 | + | 0.682709i | ||||
\(425\) | −4.05588 | − | 4.05588i | −0.196739 | − | 0.196739i | ||||
\(426\) | 45.8839 | + | 12.8973i | 2.22308 | + | 0.624874i | ||||
\(427\) | −12.8957 | + | 5.34157i | −0.624066 | + | 0.258497i | ||||
\(428\) | 3.28789 | + | 4.50877i | 0.158926 | + | 0.217940i | ||||
\(429\) | 17.4173 | − | 42.0492i | 0.840917 | − | 2.03015i | ||||
\(430\) | 0.853872 | + | 7.16064i | 0.0411774 | + | 0.345317i | ||||
\(431\) | − | 16.9800i | − | 0.817897i | −0.912557 | − | 0.408949i | \(-0.865896\pi\) | ||
0.912557 | − | 0.408949i | \(-0.134104\pi\) | |||||||
\(432\) | 0.632245 | + | 0.536172i | 0.0304189 | + | 0.0257966i | ||||
\(433\) | 16.9567i | 0.814886i | 0.913231 | + | 0.407443i | \(0.133579\pi\) | ||||
−0.913231 | + | 0.407443i | \(0.866421\pi\) | |||||||
\(434\) | −1.54745 | + | 0.184527i | −0.0742802 | + | 0.00885756i | ||||
\(435\) | 10.8331 | − | 26.1535i | 0.519409 | − | 1.25396i | ||||
\(436\) | 17.8700 | + | 2.79827i | 0.855816 | + | 0.134013i | ||||
\(437\) | −0.887839 | + | 0.367755i | −0.0424711 | + | 0.0175921i | ||||
\(438\) | −10.0887 | + | 35.8922i | −0.482058 | + | 1.71499i | ||||
\(439\) | 10.5596 | + | 10.5596i | 0.503982 | + | 0.503982i | 0.912673 | − | 0.408691i | \(-0.134015\pi\) |
−0.408691 | + | 0.912673i | \(0.634015\pi\) | |||||||
\(440\) | 19.5807 | − | 7.28216i | 0.933472 | − | 0.347163i | ||||
\(441\) | −13.3358 | + | 13.3358i | −0.635039 | + | 0.635039i | ||||
\(442\) | 11.5558 | + | 20.5921i | 0.549653 | + | 0.979464i | ||||
\(443\) | 6.31087 | + | 15.2358i | 0.299838 | + | 0.723874i | 0.999952 | + | 0.00984190i | \(0.00313282\pi\) |
−0.700113 | + | 0.714032i | \(0.746867\pi\) | |||||||
\(444\) | 6.40163 | − | 1.54875i | 0.303808 | − | 0.0735005i | ||||
\(445\) | 13.1305 | + | 5.43882i | 0.622444 | + | 0.257825i | ||||
\(446\) | 25.1364 | + | 19.7803i | 1.19024 | + | 0.936623i | ||||
\(447\) | 15.3204 | 0.724629 | ||||||||
\(448\) | 7.50450 | + | 0.550984i | 0.354554 | + | 0.0260315i | ||||
\(449\) | 8.07197 | 0.380940 | 0.190470 | − | 0.981693i | \(-0.438999\pi\) | ||||
0.190470 | + | 0.981693i | \(0.438999\pi\) | |||||||
\(450\) | 5.43527 | + | 4.27712i | 0.256221 | + | 0.201625i | ||||
\(451\) | 8.72098 | + | 3.61235i | 0.410655 | + | 0.170099i | ||||
\(452\) | −22.8910 | + | 5.53803i | −1.07670 | + | 0.260487i | ||||
\(453\) | −14.8847 | − | 35.9348i | −0.699343 | − | 1.68836i | ||||
\(454\) | −7.12631 | − | 12.6989i | −0.334454 | − | 0.595987i | ||||
\(455\) | −5.67294 | + | 5.67294i | −0.265952 | + | 0.265952i | ||||
\(456\) | −1.23793 | − | 3.32861i | −0.0579713 | − | 0.155877i | ||||
\(457\) | −7.68314 | − | 7.68314i | −0.359402 | − | 0.359402i | 0.504191 | − | 0.863592i | \(-0.331791\pi\) |
−0.863592 | + | 0.504191i | \(0.831791\pi\) | |||||||
\(458\) | 6.53200 | − | 23.2386i | 0.305221 | − | 1.08587i | ||||
\(459\) | −0.692559 | + | 0.286867i | −0.0323259 | + | 0.0133898i | ||||
\(460\) | −6.89255 | − | 1.07931i | −0.321367 | − | 0.0503231i | ||||
\(461\) | −5.90199 | + | 14.2487i | −0.274883 | + | 0.663627i | −0.999679 | − | 0.0253371i | \(-0.991934\pi\) |
0.724796 | + | 0.688964i | \(0.241934\pi\) | |||||||
\(462\) | 13.0230 | − | 1.55294i | 0.605886 | − | 0.0722491i | ||||
\(463\) | − | 27.3231i | − | 1.26981i | −0.772589 | − | 0.634907i | \(-0.781038\pi\) | ||
0.772589 | − | 0.634907i | \(-0.218962\pi\) | |||||||
\(464\) | 24.7611 | − | 2.03599i | 1.14951 | − | 0.0945182i | ||||
\(465\) | 5.33962i | 0.247619i | ||||||||
\(466\) | 2.47437 | + | 20.7502i | 0.114623 | + | 0.961236i | ||||
\(467\) | −9.40577 | + | 22.7075i | −0.435247 | + | 1.05078i | 0.542323 | + | 0.840170i | \(0.317545\pi\) |
−0.977570 | + | 0.210610i | \(0.932455\pi\) | |||||||
\(468\) | −16.7760 | − | 23.0054i | −0.775472 | − | 1.06343i | ||||
\(469\) | 3.20380 | − | 1.32706i | 0.147938 | − | 0.0612779i | ||||
\(470\) | 3.76901 | + | 1.05941i | 0.173852 | + | 0.0488670i | ||||
\(471\) | −2.31253 | − | 2.31253i | −0.106556 | − | 0.106556i | ||||
\(472\) | −15.1255 | − | 0.554513i | −0.696207 | − | 0.0255235i | ||||
\(473\) | −7.80029 | + | 7.80029i | −0.358658 | + | 0.358658i | ||||
\(474\) | −52.3762 | + | 29.3923i | −2.40572 | + | 1.35003i | ||||
\(475\) | −0.308915 | − | 0.745786i | −0.0141740 | − | 0.0342190i | ||||
\(476\) | −3.54509 | + | 5.80785i | −0.162489 | + | 0.266203i | ||||
\(477\) | 14.1709 | + | 5.86978i | 0.648842 | + | 0.268759i | ||||
\(478\) | 10.2090 | − | 12.9734i | 0.466950 | − | 0.593390i | ||||
\(479\) | 3.91155 | 0.178723 | 0.0893616 | − | 0.995999i | \(-0.471517\pi\) | ||||
0.0893616 | + | 0.995999i | \(0.471517\pi\) | |||||||
\(480\) | 4.91911 | − | 25.3083i | 0.224526 | − | 1.15516i | ||||
\(481\) | −6.16305 | −0.281011 | ||||||||
\(482\) | 12.0941 | − | 15.3689i | 0.550871 | − | 0.700036i | ||||
\(483\) | −4.04646 | − | 1.67610i | −0.184120 | − | 0.0762651i | ||||
\(484\) | 8.49887 | + | 5.18768i | 0.386312 | + | 0.235803i | ||||
\(485\) | −4.35480 | − | 10.5134i | −0.197741 | − | 0.477390i | ||||
\(486\) | −27.3566 | + | 15.3519i | −1.24092 | + | 0.696377i | ||||
\(487\) | −8.14685 | + | 8.14685i | −0.369169 | + | 0.369169i | −0.867174 | − | 0.498005i | \(-0.834066\pi\) |
0.498005 | + | 0.867174i | \(0.334066\pi\) | |||||||
\(488\) | −30.7471 | + | 28.5724i | −1.39186 | + | 1.29341i | ||||
\(489\) | −40.2520 | − | 40.2520i | −1.82026 | − | 1.82026i | ||||
\(490\) | 15.3839 | + | 4.32417i | 0.694972 | + | 0.195346i | ||||
\(491\) | 11.2886 | − | 4.67590i | 0.509448 | − | 0.211020i | −0.113127 | − | 0.993581i | \(-0.536087\pi\) |
0.622575 | + | 0.782560i | \(0.286087\pi\) | |||||||
\(492\) | 9.41264 | − | 6.86388i | 0.424354 | − | 0.309448i | ||||
\(493\) | −8.59744 | + | 20.7561i | −0.387209 | + | 0.934806i | ||||
\(494\) | 0.393480 | + | 3.29975i | 0.0177035 | + | 0.148463i | ||||
\(495\) | − | 22.7788i | − | 1.02383i | ||||||
\(496\) | −4.16804 | + | 2.14214i | −0.187151 | + | 0.0961847i | ||||
\(497\) | − | 12.8517i | − | 0.576479i | ||||||
\(498\) | −43.7154 | + | 5.21286i | −1.95893 | + | 0.233594i | ||||
\(499\) | 12.4071 | − | 29.9533i | 0.555417 | − | 1.34089i | −0.357944 | − | 0.933743i | \(-0.616522\pi\) |
0.913361 | − | 0.407152i | \(-0.133478\pi\) | |||||||
\(500\) | 3.76521 | − | 24.0449i | 0.168385 | − | 1.07532i | ||||
\(501\) | −35.0836 | + | 14.5321i | −1.56742 | + | 0.649247i | ||||
\(502\) | −5.38745 | + | 19.1667i | −0.240454 | + | 0.855450i | ||||
\(503\) | 8.77059 | + | 8.77059i | 0.391061 | + | 0.391061i | 0.875066 | − | 0.484004i | \(-0.160818\pi\) |
−0.484004 | + | 0.875066i | \(0.660818\pi\) | |||||||
\(504\) | 3.41540 | − | 7.46002i | 0.152134 | − | 0.332296i | ||||
\(505\) | −10.5728 | + | 10.5728i | −0.470485 | + | 0.470485i | ||||
\(506\) | −5.22274 | − | 9.30676i | −0.232179 | − | 0.413736i | ||||
\(507\) | 7.84276 | + | 18.9341i | 0.348309 | + | 0.840893i | ||||
\(508\) | 6.14158 | + | 25.3857i | 0.272488 | + | 1.12631i | ||||
\(509\) | 20.0994 | + | 8.32546i | 0.890892 | + | 0.369020i | 0.780711 | − | 0.624892i | \(-0.214857\pi\) |
0.110181 | + | 0.993912i | \(0.464857\pi\) | |||||||
\(510\) | 18.3213 | + | 14.4173i | 0.811280 | + | 0.638411i | ||||
\(511\) | 10.0531 | 0.444724 | ||||||||
\(512\) | 21.7288 | − | 6.31333i | 0.960287 | − | 0.279013i | ||||
\(513\) | −0.105497 | −0.00465780 | ||||||||
\(514\) | −21.0097 | − | 16.5329i | −0.926698 | − | 0.729236i | ||||
\(515\) | 11.4135 | + | 4.72764i | 0.502941 | + | 0.208325i | ||||
\(516\) | 3.20127 | + | 13.2322i | 0.140928 | + | 0.582514i | ||||
\(517\) | 2.29186 | + | 5.53304i | 0.100796 | + | 0.243343i | ||||
\(518\) | −0.869124 | − | 1.54875i | −0.0381871 | − | 0.0680483i | ||||
\(519\) | −3.35099 | + | 3.35099i | −0.147092 | + | 0.147092i | ||||
\(520\) | −10.0426 | + | 21.9355i | −0.440399 | + | 0.961934i | ||||
\(521\) | −29.8910 | − | 29.8910i | −1.30955 | − | 1.30955i | −0.921741 | − | 0.387807i | \(-0.873233\pi\) |
−0.387807 | − | 0.921741i | \(-0.626767\pi\) | |||||||
\(522\) | 7.33046 | − | 26.0792i | 0.320845 | − | 1.14145i | ||||
\(523\) | 32.7654 | − | 13.5719i | 1.43273 | − | 0.593456i | 0.474706 | − | 0.880144i | \(-0.342554\pi\) |
0.958024 | + | 0.286688i | \(0.0925544\pi\) | |||||||
\(524\) | 2.18406 | − | 13.9476i | 0.0954113 | − | 0.609304i | ||||
\(525\) | 1.40792 | − | 3.39903i | 0.0614468 | − | 0.148346i | ||||
\(526\) | 27.6216 | − | 3.29374i | 1.20436 | − | 0.143614i | ||||
\(527\) | − | 4.23765i | − | 0.184595i | ||||||
\(528\) | 35.0773 | − | 18.0277i | 1.52655 | − | 0.784557i | ||||
\(529\) | − | 19.4361i | − | 0.845046i | ||||||
\(530\) | −1.53887 | − | 12.9050i | −0.0668441 | − | 0.560559i | ||||
\(531\) | −6.31558 | + | 15.2472i | −0.274073 | + | 0.661670i | ||||
\(532\) | −0.773727 | + | 0.564217i | −0.0335453 | + | 0.0244619i | ||||
\(533\) | −10.0711 | + | 4.17157i | −0.436226 | + | 0.180691i | ||||
\(534\) | 25.8296 | + | 7.26031i | 1.11776 | + | 0.314184i | ||||
\(535\) | −3.64548 | − | 3.64548i | −0.157608 | − | 0.157608i | ||||
\(536\) | 7.63881 | − | 7.09853i | 0.329947 | − | 0.306610i | ||||
\(537\) | 8.56744 | − | 8.56744i | 0.369713 | − | 0.369713i | ||||
\(538\) | 16.2816 | − | 9.13685i | 0.701949 | − | 0.393918i | ||||
\(539\) | 9.35460 | + | 22.5840i | 0.402931 | + | 0.972762i | ||||
\(540\) | −0.653720 | − | 0.399028i | −0.0281316 | − | 0.0171714i | ||||
\(541\) | −11.2925 | − | 4.67751i | −0.485502 | − | 0.201102i | 0.126486 | − | 0.991968i | \(-0.459630\pi\) |
−0.611988 | + | 0.790867i | \(0.709630\pi\) | |||||||
\(542\) | −3.86128 | + | 4.90683i | −0.165856 | + | 0.210767i | ||||
\(543\) | −5.01571 | −0.215245 | ||||||||
\(544\) | −3.90393 | + | 20.0853i | −0.167379 | + | 0.861150i | ||||
\(545\) | −16.7109 | −0.715815 | ||||||||
\(546\) | −9.36618 | + | 11.9023i | −0.400835 | + | 0.509374i | ||||
\(547\) | −19.1256 | − | 7.92207i | −0.817750 | − | 0.338723i | −0.0657087 | − | 0.997839i | \(-0.520931\pi\) |
−0.752042 | + | 0.659116i | \(0.770931\pi\) | |||||||
\(548\) | −7.19303 | + | 11.7842i | −0.307271 | + | 0.503396i | ||||
\(549\) | 17.5141 | + | 42.2827i | 0.747482 | + | 1.80458i | ||||
\(550\) | 7.81769 | − | 4.38711i | 0.333347 | − | 0.187067i | ||||
\(551\) | −2.23570 | + | 2.23570i | −0.0952439 | + | 0.0952439i | ||||
\(552\) | −13.1618 | − | 0.482521i | −0.560201 | − | 0.0205375i | ||||
\(553\) | 11.4514 | + | 11.4514i | 0.486962 | + | 0.486962i | ||||
\(554\) | −33.9603 | − | 9.54573i | −1.44284 | − | 0.405559i | ||||
\(555\) | −5.62177 | + | 2.32861i | −0.238631 | + | 0.0988442i | ||||
\(556\) | −15.0300 | − | 20.6111i | −0.637416 | − | 0.874106i | ||||
\(557\) | 12.3617 | − | 29.8439i | 0.523783 | − | 1.26452i | −0.411753 | − | 0.911295i | \(-0.635084\pi\) |
0.935537 | − | 0.353229i | \(-0.114916\pi\) | |||||||
\(558\) | 0.605030 | + | 5.07383i | 0.0256130 | + | 0.214792i | ||||
\(559\) | − | 12.7390i | − | 0.538803i | ||||||
\(560\) | −6.92854 | + | 0.569699i | −0.292784 | + | 0.0240742i | ||||
\(561\) | 35.6631i | 1.50570i | ||||||||
\(562\) | −11.5881 | + | 1.38182i | −0.488814 | + | 0.0582888i | ||||
\(563\) | −10.5540 | + | 25.4797i | −0.444800 | + | 1.07384i | 0.529444 | + | 0.848345i | \(0.322400\pi\) |
−0.974244 | + | 0.225497i | \(0.927600\pi\) | |||||||
\(564\) | 7.30205 | + | 1.14343i | 0.307472 | + | 0.0481472i | ||||
\(565\) | 20.1023 | − | 8.32666i | 0.845712 | − | 0.350305i | ||||
\(566\) | −1.31992 | + | 4.69580i | −0.0554802 | + | 0.197379i | ||||
\(567\) | 5.81352 | + | 5.81352i | 0.244145 | + | 0.244145i | ||||
\(568\) | −13.4713 | − | 36.2223i | −0.565242 | − | 1.51986i | ||||
\(569\) | −23.7855 | + | 23.7855i | −0.997139 | + | 0.997139i | −0.999996 | − | 0.00285688i | \(-0.999091\pi\) |
0.00285688 | + | 0.999996i | \(0.499091\pi\) | |||||||
\(570\) | 1.60568 | + | 2.86128i | 0.0672547 | + | 0.119846i | ||||
\(571\) | −0.904405 | − | 2.18343i | −0.0378482 | − | 0.0913736i | 0.903825 | − | 0.427902i | \(-0.140747\pi\) |
−0.941673 | + | 0.336528i | \(0.890747\pi\) | |||||||
\(572\) | −35.8695 | + | 8.67793i | −1.49978 | + | 0.362843i | ||||
\(573\) | 44.2141 | + | 18.3141i | 1.84707 | + | 0.765082i | ||||
\(574\) | −2.46854 | − | 1.94254i | −0.103035 | − | 0.0810800i | ||||
\(575\) | −2.99371 | −0.124846 | ||||||||
\(576\) | 1.80658 | − | 24.6059i | 0.0752741 | − | 1.02525i | ||||
\(577\) | 24.8839 | 1.03593 | 0.517965 | − | 0.855402i | \(-0.326690\pi\) | ||||
0.517965 | + | 0.855402i | \(0.326690\pi\) | |||||||
\(578\) | 4.35311 | + | 3.42554i | 0.181066 | + | 0.142484i | ||||
\(579\) | 41.1238 | + | 17.0340i | 1.70905 | + | 0.707910i | ||||
\(580\) | −22.3099 | + | 5.39745i | −0.926368 | + | 0.224117i | ||||
\(581\) | 4.54286 | + | 10.9674i | 0.188469 | + | 0.455006i | ||||
\(582\) | −10.5134 | − | 18.7346i | −0.435795 | − | 0.776574i | ||||
\(583\) | 14.0578 | − | 14.0578i | 0.582216 | − | 0.582216i | ||||
\(584\) | 28.3345 | − | 10.5377i | 1.17249 | − | 0.436055i | ||||
\(585\) | 18.6006 | + | 18.6006i | 0.769039 | + | 0.769039i | ||||
\(586\) | −2.89663 | + | 10.3052i | −0.119658 | + | 0.425703i | ||||
\(587\) | −40.1685 | + | 16.6383i | −1.65793 | + | 0.686738i | −0.997917 | − | 0.0645151i | \(-0.979450\pi\) |
−0.660015 | + | 0.751253i | \(0.729450\pi\) | |||||||
\(588\) | 29.8045 | + | 4.66711i | 1.22912 | + | 0.192469i | ||||
\(589\) | 0.228225 | − | 0.550984i | 0.00940384 | − | 0.0227029i | ||||
\(590\) | 13.8851 | − | 1.65574i | 0.571642 | − | 0.0681657i | ||||
\(591\) | 0.557647i | 0.0229385i | ||||||||
\(592\) | −4.07302 | − | 3.45410i | −0.167400 | − | 0.141963i | ||||
\(593\) | − | 9.10197i | − | 0.373773i | −0.982382 | − | 0.186886i | \(-0.940160\pi\) | ||
0.982382 | − | 0.186886i | \(-0.0598397\pi\) | |||||||
\(594\) | −0.138722 | − | 1.16333i | −0.00569182 | − | 0.0477321i | ||||
\(595\) | 2.40569 | − | 5.80785i | 0.0986238 | − | 0.238099i | ||||
\(596\) | −7.31926 | − | 10.0371i | −0.299808 | − | 0.411136i | ||||
\(597\) | 38.3481 | − | 15.8843i | 1.56948 | − | 0.650102i | ||||
\(598\) | 11.8644 | + | 3.33490i | 0.485172 | + | 0.136374i | ||||
\(599\) | 3.04488 | + | 3.04488i | 0.124410 | + | 0.124410i | 0.766571 | − | 0.642160i | \(-0.221962\pi\) |
−0.642160 | + | 0.766571i | \(0.721962\pi\) | |||||||
\(600\) | 0.405318 | − | 11.0559i | 0.0165470 | − | 0.451355i | ||||
\(601\) | 9.53880 | − | 9.53880i | 0.389096 | − | 0.389096i | −0.485269 | − | 0.874365i | \(-0.661278\pi\) |
0.874365 | + | 0.485269i | \(0.161278\pi\) | |||||||
\(602\) | 3.20127 | − | 1.79648i | 0.130474 | − | 0.0732190i | ||||
\(603\) | −4.35119 | − | 10.5047i | −0.177194 | − | 0.427784i | ||||
\(604\) | −16.4315 | + | 26.9194i | −0.668588 | + | 1.09533i | ||||
\(605\) | −8.49887 | − | 3.52035i | −0.345528 | − | 0.143123i | ||||
\(606\) | −17.4560 | + | 22.1828i | −0.709103 | + | 0.901113i | ||||
\(607\) | −3.66391 | −0.148714 | −0.0743568 | − | 0.997232i | \(-0.523690\pi\) | ||||
−0.0743568 | + | 0.997232i | \(0.523690\pi\) | |||||||
\(608\) | −1.58932 | + | 2.40126i | −0.0644553 | + | 0.0973839i | ||||
\(609\) | −14.4102 | −0.583929 | ||||||||
\(610\) | 23.9808 | − | 30.4743i | 0.970955 | − | 1.23387i | ||||
\(611\) | −6.38960 | − | 2.64666i | −0.258496 | − | 0.107072i | ||||
\(612\) | 19.0429 | + | 11.6237i | 0.769765 | + | 0.469861i | ||||
\(613\) | −11.6012 | − | 28.0079i | −0.468570 | − | 1.13123i | −0.964788 | − | 0.263029i | \(-0.915278\pi\) |
0.496218 | − | 0.868198i | \(-0.334722\pi\) | |||||||
\(614\) | −10.1349 | + | 5.68749i | −0.409012 | + | 0.229528i | ||||
\(615\) | −7.61040 | + | 7.61040i | −0.306881 | + | 0.306881i | ||||
\(616\) | −7.23911 | − | 7.79009i | −0.291672 | − | 0.313872i | ||||
\(617\) | 5.86100 | + | 5.86100i | 0.235955 | + | 0.235955i | 0.815173 | − | 0.579218i | \(-0.196642\pi\) |
−0.579218 | + | 0.815173i | \(0.696642\pi\) | |||||||
\(618\) | 22.4521 | + | 6.31095i | 0.903157 | + | 0.253864i | ||||
\(619\) | −36.9173 | + | 15.2917i | −1.48383 | + | 0.614624i | −0.969965 | − | 0.243245i | \(-0.921788\pi\) |
−0.513868 | + | 0.857869i | \(0.671788\pi\) | |||||||
\(620\) | 3.49824 | − | 2.55098i | 0.140493 | − | 0.102450i | ||||
\(621\) | −0.149724 | + | 0.361465i | −0.00600821 | + | 0.0145051i | ||||
\(622\) | −3.56505 | − | 29.8968i | −0.142946 | − | 1.19875i | ||||
\(623\) | − | 7.23468i | − | 0.289851i | ||||||
\(624\) | −13.9222 | + | 43.3642i | −0.557336 | + | 1.73596i | ||||
\(625\) | 14.5563i | 0.582254i | ||||||||
\(626\) | 36.4149 | − | 4.34231i | 1.45543 | − | 0.173554i | ||||
\(627\) | −1.92069 | + | 4.63696i | −0.0767050 | + | 0.185182i | ||||
\(628\) | −0.410244 | + | 2.61985i | −0.0163705 | + | 0.104543i | ||||
\(629\) | 4.46157 | − | 1.84804i | 0.177895 | − | 0.0736864i | ||||
\(630\) | −2.05117 | + | 7.29734i | −0.0817206 | + | 0.290733i | ||||
\(631\) | −21.0543 | − | 21.0543i | −0.838159 | − | 0.838159i | 0.150458 | − | 0.988616i | \(-0.451925\pi\) |
−0.988616 | + | 0.150458i | \(0.951925\pi\) | |||||||
\(632\) | 44.2789 | + | 20.2721i | 1.76132 | + | 0.806379i | ||||
\(633\) | 17.0028 | − | 17.0028i | 0.675799 | − | 0.675799i | ||||
\(634\) | −7.13421 | − | 12.7129i | −0.283336 | − | 0.504895i | ||||
\(635\) | −9.23412 | − | 22.2931i | −0.366445 | − | 0.884676i | ||||
\(636\) | −5.76939 | − | 23.8473i | −0.228771 | − | 0.945606i | ||||
\(637\) | −26.0802 | − | 10.8028i | −1.03334 | − | 0.428022i | ||||
\(638\) | −27.5932 | − | 21.7136i | −1.09242 | − | 0.859649i | ||||
\(639\) | −42.1386 | −1.66698 | ||||||||
\(640\) | −18.9308 | + | 8.86822i | −0.748304 | + | 0.350547i | ||||
\(641\) | −6.57429 | −0.259669 | −0.129835 | − | 0.991536i | \(-0.541445\pi\) | ||||
−0.129835 | + | 0.991536i | \(0.541445\pi\) | |||||||
\(642\) | −7.64855 | − | 6.01878i | −0.301864 | − | 0.237542i | ||||
\(643\) | −24.1050 | − | 9.98462i | −0.950608 | − | 0.393755i | −0.147149 | − | 0.989114i | \(-0.547010\pi\) |
−0.803459 | + | 0.595360i | \(0.797010\pi\) | |||||||
\(644\) | 0.835091 | + | 3.45178i | 0.0329072 | + | 0.136019i | ||||
\(645\) | −4.81324 | − | 11.6202i | −0.189521 | − | 0.457545i | ||||
\(646\) | −1.27431 | − | 2.27078i | −0.0501370 | − | 0.0893426i | ||||
\(647\) | 19.1598 | − | 19.1598i | 0.753250 | − | 0.753250i | −0.221835 | − | 0.975084i | \(-0.571205\pi\) |
0.975084 | + | 0.221835i | \(0.0712046\pi\) | |||||||
\(648\) | 22.4791 | + | 10.2915i | 0.883061 | + | 0.404289i | ||||
\(649\) | 15.1255 | + | 15.1255i | 0.593727 | + | 0.593727i | ||||
\(650\) | −2.80132 | + | 9.96612i | −0.109877 | + | 0.390903i | ||||
\(651\) | 2.51119 | − | 1.04017i | 0.0984212 | − | 0.0407674i | ||||
\(652\) | −7.14074 | + | 45.6013i | −0.279653 | + | 1.78588i | ||||
\(653\) | −5.73339 | + | 13.8416i | −0.224365 | + | 0.541665i | −0.995474 | − | 0.0950389i | \(-0.969702\pi\) |
0.771109 | + | 0.636703i | \(0.219702\pi\) | |||||||
\(654\) | −31.3255 | + | 3.73542i | −1.22492 | + | 0.146067i | ||||
\(655\) | 13.0429i | 0.509629i | ||||||||
\(656\) | −8.99371 | − | 2.88747i | −0.351145 | − | 0.112737i | ||||
\(657\) | − | 32.9624i | − | 1.28599i | ||||||
\(658\) | −0.235977 | − | 1.97892i | −0.00919934 | − | 0.0771464i | ||||
\(659\) | −0.202554 | + | 0.489009i | −0.00789039 | + | 0.0190491i | −0.927776 | − | 0.373139i | \(-0.878282\pi\) |
0.919885 | + | 0.392188i | \(0.128282\pi\) | |||||||
\(660\) | −29.4404 | + | 21.4685i | −1.14597 | + | 0.835661i | ||||
\(661\) | 6.45241 | − | 2.67268i | 0.250970 | − | 0.103955i | −0.253652 | − | 0.967295i | \(-0.581632\pi\) |
0.504622 | + | 0.863340i | \(0.331632\pi\) | |||||||
\(662\) | 11.1616 | + | 3.13734i | 0.433806 | + | 0.121936i | ||||
\(663\) | −29.1216 | − | 29.1216i | −1.13099 | − | 1.13099i | ||||
\(664\) | 24.3001 | + | 26.1496i | 0.943026 | + | 1.01480i | ||||
\(665\) | 0.625581 | − | 0.625581i | 0.0242590 | − | 0.0242590i | ||||
\(666\) | −5.07808 | + | 2.84970i | −0.196772 | + | 0.110424i | ||||
\(667\) | 4.48723 | + | 10.8331i | 0.173746 | + | 0.419461i | ||||
\(668\) | 26.2818 | + | 16.0423i | 1.01687 | + | 0.620694i | ||||
\(669\) | −51.5411 | − | 21.3490i | −1.99270 | − | 0.825402i | ||||
\(670\) | −5.95779 | + | 7.57104i | −0.230170 | + | 0.292495i | ||||
\(671\) | 59.3196 | 2.29001 | ||||||||
\(672\) | −12.8606 | + | 2.61669i | −0.496109 | + | 0.100941i | ||||
\(673\) | −24.3285 | −0.937793 | −0.468897 | − | 0.883253i | \(-0.655348\pi\) | ||||
−0.468897 | + | 0.883253i | \(0.655348\pi\) | |||||||
\(674\) | −14.7721 | + | 18.7721i | −0.569002 | + | 0.723076i | ||||
\(675\) | −0.303631 | − | 0.125768i | −0.0116868 | − | 0.00484081i | ||||
\(676\) | 8.65777 | − | 14.1839i | 0.332991 | − | 0.545533i | ||||
\(677\) | 1.60737 | + | 3.88054i | 0.0617763 | + | 0.149141i | 0.951753 | − | 0.306864i | \(-0.0992798\pi\) |
−0.889977 | + | 0.456005i | \(0.849280\pi\) | |||||||
\(678\) | 35.8217 | − | 20.1023i | 1.37573 | − | 0.772026i | ||||
\(679\) | −4.09607 | + | 4.09607i | −0.157193 | + | 0.157193i | ||||
\(680\) | 0.692559 | − | 18.8910i | 0.0265584 | − | 0.724436i | ||||
\(681\) | 17.9589 | + | 17.9589i | 0.688187 | + | 0.688187i | ||||
\(682\) | 6.37588 | + | 1.79216i | 0.244145 | + | 0.0686254i | ||||
\(683\) | 24.8133 | − | 10.2780i | 0.949455 | − | 0.393277i | 0.146429 | − | 0.989221i | \(-0.453222\pi\) |
0.803026 | + | 0.595944i | \(0.203222\pi\) | |||||||
\(684\) | 1.84997 | + | 2.53691i | 0.0707353 | + | 0.0970013i | ||||
\(685\) | 4.88118 | − | 11.7842i | 0.186500 | − | 0.450251i | ||||
\(686\) | −2.06570 | − | 17.3231i | −0.0788689 | − | 0.661400i | ||||
\(687\) | 42.1019i | 1.60629i | ||||||||
\(688\) | 7.13962 | − | 8.41893i | 0.272196 | − | 0.320969i | ||||
\(689\) | 22.9585i | 0.874650i | ||||||||
\(690\) | 12.0824 | − | 1.44077i | 0.459971 | − | 0.0548494i | ||||
\(691\) | 8.56885 | − | 20.6870i | 0.325974 | − | 0.786972i | −0.672909 | − | 0.739725i | \(-0.734955\pi\) |
0.998883 | − | 0.0472463i | \(-0.0150446\pi\) | |||||||
\(692\) | 3.79632 | + | 0.594468i | 0.144314 | + | 0.0225983i | ||||
\(693\) | −10.7127 | + | 4.43736i | −0.406943 | + | 0.168561i | ||||
\(694\) | 11.6582 | − | 41.4759i | 0.442541 | − | 1.57440i | ||||
\(695\) | 16.6647 | + | 16.6647i | 0.632128 | + | 0.632128i | ||||
\(696\) | −40.6147 | + | 15.1048i | −1.53950 | + | 0.572547i | ||||
\(697\) | 6.03979 | − | 6.03979i | 0.228774 | − | 0.228774i | ||||
\(698\) | 7.48402 | + | 13.3363i | 0.283274 | + | 0.504786i | ||||
\(699\) | −13.9479 | − | 33.6732i | −0.527558 | − | 1.27364i | ||||
\(700\) | −2.89949 | + | 0.701477i | −0.109591 | + | 0.0265133i | ||||
\(701\) | 28.1557 | + | 11.6625i | 1.06343 | + | 0.440486i | 0.844667 | − | 0.535293i | \(-0.179799\pi\) |
0.218760 | + | 0.975779i | \(0.429799\pi\) | |||||||
\(702\) | 1.06322 | + | 0.836669i | 0.0401287 | + | 0.0315780i | ||||
\(703\) | 0.679628 | 0.0256326 | ||||||||
\(704\) | −28.5689 | − | 14.3681i | −1.07673 | − | 0.541519i | ||||
\(705\) | −6.82843 | −0.257173 | ||||||||
\(706\) | 0.748744 | + | 0.589200i | 0.0281793 | + | 0.0221748i | ||||
\(707\) | 7.03195 | + | 2.91273i | 0.264464 | + | 0.109544i | ||||
\(708\) | 25.6584 | − | 6.20756i | 0.964302 | − | 0.233294i | ||||
\(709\) | 12.4408 | + | 30.0346i | 0.467223 | + | 1.12797i | 0.965370 | + | 0.260883i | \(0.0840136\pi\) |
−0.498148 | + | 0.867092i | \(0.665986\pi\) | |||||||
\(710\) | 17.4732 | + | 31.1367i | 0.655759 | + | 1.16854i | ||||
\(711\) | 37.5471 | − | 37.5471i | 1.40812 | − | 1.40812i | ||||
\(712\) | −7.58344 | − | 20.3908i | −0.284201 | − | 0.764177i | ||||
\(713\) | −1.56394 | − | 1.56394i | −0.0585699 | − | 0.0585699i | ||||
\(714\) | 3.21137 | − | 11.4249i | 0.120182 | − | 0.427567i | ||||
\(715\) | 31.4998 | − | 13.0476i | 1.17803 | − | 0.487954i | ||||
\(716\) | −9.70601 | − | 1.51987i | −0.362730 | − | 0.0568002i | ||||
\(717\) | −11.0187 | + | 26.6015i | −0.411501 | + | 0.993450i | ||||
\(718\) | 7.79613 | − | 0.929652i | 0.290949 | − | 0.0346943i | ||||
\(719\) | 33.6333i | 1.25431i | 0.778894 | + | 0.627155i | \(0.215781\pi\) | ||||
−0.778894 | + | 0.627155i | \(0.784219\pi\) | |||||||
\(720\) | 1.86794 | + | 22.7174i | 0.0696141 | + | 0.846629i | ||||
\(721\) | − | 6.28867i | − | 0.234202i | ||||||
\(722\) | 3.13820 | + | 26.3172i | 0.116792 | + | 0.979423i | ||||
\(723\) | −13.0533 | + | 31.5134i | −0.485457 | + | 1.17200i | ||||
\(724\) | 2.39624 | + | 3.28603i | 0.0890556 | + | 0.122124i | ||||
\(725\) | −9.09984 | + | 3.76928i | −0.337960 | + | 0.139988i | ||||
\(726\) | −16.7185 | − | 4.69933i | −0.620484 | − | 0.174408i | ||||
\(727\) | −7.43334 | − | 7.43334i | −0.275687 | − | 0.275687i | 0.555697 | − | 0.831385i | \(-0.312451\pi\) |
−0.831385 | + | 0.555697i | \(0.812451\pi\) | |||||||
\(728\) | 12.2725 | + | 0.449919i | 0.454847 | + | 0.0166751i | ||||
\(729\) | 20.1459 | − | 20.1459i | 0.746145 | − | 0.746145i | ||||
\(730\) | −24.3564 | + | 13.6682i | −0.901469 | + | 0.505884i | ||||
\(731\) | 3.81991 | + | 9.22207i | 0.141284 | + | 0.341090i | ||||
\(732\) | 38.1415 | − | 62.4864i | 1.40975 | − | 2.30957i | ||||
\(733\) | −0.328598 | − | 0.136110i | −0.0121371 | − | 0.00502733i | 0.376607 | − | 0.926373i | \(-0.377091\pi\) |
−0.388744 | + | 0.921346i | \(0.627091\pi\) | |||||||
\(734\) | −14.4091 | + | 18.3108i | −0.531850 | + | 0.675864i | ||||
\(735\) | −27.8714 | −1.02805 | ||||||||
\(736\) | 5.97186 | + | 8.85341i | 0.220126 | + | 0.326341i | ||||
\(737\) | −14.7373 | −0.542857 | ||||||||
\(738\) | −6.36924 | + | 8.09391i | −0.234455 | + | 0.297941i | ||||
\(739\) | −43.8857 | − | 18.1780i | −1.61436 | − | 0.668690i | −0.621008 | − | 0.783804i | \(-0.713277\pi\) |
−0.993352 | + | 0.115114i | \(0.963277\pi\) | |||||||
\(740\) | 4.21137 | + | 2.57060i | 0.154813 | + | 0.0944972i | ||||
\(741\) | −2.21803 | − | 5.35480i | −0.0814814 | − | 0.196714i | ||||
\(742\) | −5.76939 | + | 3.23765i | −0.211801 | + | 0.118858i | ||||
\(743\) | −30.3220 | + | 30.3220i | −1.11240 | + | 1.11240i | −0.119580 | + | 0.992825i | \(0.538155\pi\) |
−0.992825 | + | 0.119580i | \(0.961845\pi\) | |||||||
\(744\) | 5.98742 | − | 5.56394i | 0.219509 | − | 0.203984i | ||||
\(745\) | 8.11529 | + | 8.11529i | 0.297321 | + | 0.297321i | ||||
\(746\) | −18.6841 | − | 5.25180i | −0.684072 | − | 0.192282i | ||||
\(747\) | 35.9603 | − | 14.8952i | 1.31572 | − | 0.544988i | ||||
\(748\) | 23.3646 | − | 17.0379i | 0.854294 | − | 0.622969i | ||||
\(749\) | −1.00430 | + | 2.42459i | −0.0366963 | + | 0.0885927i | ||||
\(750\) | 5.02619 | + | 42.1500i | 0.183530 | + | 1.53910i | ||||
\(751\) | 51.3686i | 1.87447i | 0.348701 | + | 0.937234i | \(0.386623\pi\) | ||||
−0.348701 | + | 0.937234i | \(0.613377\pi\) | |||||||
\(752\) | −2.73941 | − | 5.33019i | −0.0998961 | − | 0.194372i | ||||
\(753\) | − | 34.7248i | − | 1.26544i | ||||||
\(754\) | 40.2626 | − | 4.80112i | 1.46628 | − | 0.174847i | ||||
\(755\) | 11.1504 | − | 26.9194i | 0.405804 | − | 0.979697i | ||||
\(756\) | −0.0603144 | + | 0.385172i | −0.00219361 | + | 0.0140086i | ||||
\(757\) | 15.2644 | − | 6.32270i | 0.554793 | − | 0.229803i | −0.0876302 | − | 0.996153i | \(-0.527929\pi\) |
0.642423 | + | 0.766350i | \(0.277929\pi\) | |||||||
\(758\) | 5.06746 | − | 18.0282i | 0.184058 | − | 0.654814i | ||||
\(759\) | 13.1618 | + | 13.1618i | 0.477741 | + | 0.477741i | ||||
\(760\) | 1.10745 | − | 2.41893i | 0.0401714 | − | 0.0877437i | ||||
\(761\) | 26.6859 | − | 26.6859i | 0.967362 | − | 0.967362i | −0.0321218 | − | 0.999484i | \(-0.510226\pi\) |
0.999484 | + | 0.0321218i | \(0.0102264\pi\) | |||||||
\(762\) | −22.2931 | − | 39.7257i | −0.807595 | − | 1.43911i | ||||
\(763\) | 3.25531 | + | 7.85902i | 0.117850 | + | 0.284516i | ||||
\(764\) | −9.12472 | − | 37.7162i | −0.330121 | − | 1.36453i | ||||
\(765\) | −19.0429 | − | 7.88784i | −0.688499 | − | 0.285185i | ||||
\(766\) | 16.1890 | + | 12.7394i | 0.584932 | + | 0.460294i | ||||
\(767\) | −24.7021 | −0.891943 | ||||||||
\(768\) | −33.5045 | + | 20.8556i | −1.20899 | + | 0.752563i | ||||
\(769\) | 44.0390 | 1.58809 | 0.794044 | − | 0.607861i | \(-0.207972\pi\) | ||||
0.794044 | + | 0.607861i | \(0.207972\pi\) | |||||||
\(770\) | 7.72098 | + | 6.07578i | 0.278245 | + | 0.218956i | ||||
\(771\) | 43.0796 | + | 17.8441i | 1.55147 | + | 0.642641i | ||||
\(772\) | −8.48695 | − | 35.0801i | −0.305452 | − | 1.26256i | ||||
\(773\) | −15.4001 | − | 37.1790i | −0.553902 | − | 1.33724i | −0.914526 | − | 0.404526i | \(-0.867436\pi\) |
0.360625 | − | 0.932711i | \(-0.382564\pi\) | |||||||
\(774\) | −5.89034 | − | 10.4964i | −0.211724 | − | 0.377285i | ||||
\(775\) | 1.31371 | − | 1.31371i | 0.0471898 | − | 0.0471898i | ||||
\(776\) | −7.25116 | + | 15.8382i | −0.260302 | + | 0.568559i | ||||
\(777\) | 2.19027 | + | 2.19027i | 0.0785754 | + | 0.0785754i | ||||
\(778\) | −14.2795 | + | 50.8016i | −0.511946 | + | 1.82132i | ||||
\(779\) | 1.11058 | − | 0.460018i | 0.0397908 | − | 0.0164819i | ||||
\(780\) | 6.50961 | − | 41.5709i | 0.233081 | − | 1.48848i | ||||
\(781\) | −20.9012 | + | 50.4599i | −0.747903 | + | 1.80560i | ||||
\(782\) | −9.58892 | + | 1.14343i | −0.342899 | + | 0.0408891i | ||||
\(783\) | 1.28724i | 0.0460022i | ||||||||
\(784\) | −11.1814 | − | 21.7561i | −0.399335 | − | 0.777002i | ||||
\(785\) | − | 2.44992i | − | 0.0874413i | ||||||
\(786\) | 2.91552 | + | 24.4497i | 0.103993 | + | 0.872093i | ||||
\(787\) | 0.948632 | − | 2.29020i | 0.0338151 | − | 0.0816368i | −0.906070 | − | 0.423128i | \(-0.860932\pi\) |
0.939885 | + | 0.341491i | \(0.110932\pi\) | |||||||
\(788\) | 0.365341 | − | 0.266414i | 0.0130147 | − | 0.00949061i | ||||
\(789\) | −44.8240 | + | 18.5667i | −1.59578 | + | 0.660992i | ||||
\(790\) | −43.3133 | − | 12.1747i | −1.54102 | − | 0.433157i | ||||
\(791\) | −7.83196 | − | 7.83196i | −0.278472 | − | 0.278472i | ||||
\(792\) | −25.5423 | + | 23.7358i | −0.907608 | + | 0.843414i | ||||
\(793\) | −48.4388 | + | 48.4388i | −1.72011 | + | 1.72011i | ||||
\(794\) | 28.6310 | − | 16.0671i | 1.01608 | − | 0.570199i | ||||
\(795\) | 8.67452 | + | 20.9421i | 0.307654 | + | 0.742741i | ||||
\(796\) | −28.7272 | − | 17.5350i | −1.01821 | − | 0.621511i | ||||
\(797\) | −2.76562 | − | 1.14556i | −0.0979632 | − | 0.0405777i | 0.333164 | − | 0.942869i | \(-0.391884\pi\) |
−0.431127 | + | 0.902291i | \(0.641884\pi\) | |||||||
\(798\) | 1.03285 | − | 1.31253i | 0.0365625 | − | 0.0464629i | ||||
\(799\) | 5.41921 | 0.191718 | ||||||||
\(800\) | −7.43687 | + | 5.01637i | −0.262933 | + | 0.177355i | ||||
\(801\) | −23.7212 | −0.838149 | ||||||||
\(802\) | −2.19960 | + | 2.79520i | −0.0776704 | + | 0.0987020i | ||||
\(803\) | −39.4717 | − | 16.3497i | −1.39292 | − | 0.576968i | ||||
\(804\) | −9.47586 | + | 15.5241i | −0.334188 | + | 0.547494i | ||||
\(805\) | −1.25559 | − | 3.03127i | −0.0442539 | − | 0.106838i | ||||
\(806\) | −6.66981 | + | 3.74294i | −0.234934 | + | 0.131840i | ||||
\(807\) | −23.0256 | + | 23.0256i | −0.810541 | + | 0.810541i | ||||
\(808\) | 22.8725 | + | 0.838527i | 0.804653 | + | 0.0294993i | ||||
\(809\) | −7.12825 | − | 7.12825i | −0.250616 | − | 0.250616i | 0.570607 | − | 0.821223i | \(-0.306708\pi\) |
−0.821223 | + | 0.570607i | \(0.806708\pi\) | |||||||
\(810\) | −21.9889 | − | 6.18073i | −0.772610 | − | 0.217169i | ||||
\(811\) | 27.4750 | − | 11.3805i | 0.964777 | − | 0.399624i | 0.156012 | − | 0.987755i | \(-0.450136\pi\) |
0.808765 | + | 0.588131i | \(0.200136\pi\) | |||||||
\(812\) | 6.88440 | + | 9.44077i | 0.241595 | + | 0.331306i | ||||
\(813\) | 4.16751 | − | 10.0613i | 0.146161 | − | 0.352864i | ||||
\(814\) | 0.893667 | + | 7.49436i | 0.0313230 | + | 0.262677i | ||||
\(815\) | − | 42.6435i | − | 1.49374i | ||||||
\(816\) | −2.92450 | − | 35.5670i | −0.102378 | − | 1.24510i | ||||
\(817\) | 1.40479i | 0.0491474i | ||||||||
\(818\) | −10.5784 | + | 1.26142i | −0.369864 | + | 0.0441046i | ||||
\(819\) | 5.12431 | − | 12.3712i | 0.179058 | − | 0.432284i | ||||
\(820\) | 8.62177 | + | 1.35009i | 0.301085 | + | 0.0471472i | ||||
\(821\) | 34.1861 | − | 14.1603i | 1.19310 | − | 0.494199i | 0.304339 | − | 0.952564i | \(-0.401565\pi\) |
0.888764 | + | 0.458364i | \(0.151565\pi\) | |||||||
\(822\) | 6.51590 | − | 23.1813i | 0.227268 | − | 0.808540i | ||||
\(823\) | 27.3810 | + | 27.3810i | 0.954440 | + | 0.954440i | 0.999006 | − | 0.0445659i | \(-0.0141905\pi\) |
−0.0445659 | + | 0.999006i | \(0.514190\pi\) | |||||||
\(824\) | −6.59183 | − | 17.7245i | −0.229637 | − | 0.617462i | ||||
\(825\) | −11.0559 | + | 11.0559i | −0.384916 | + | 0.384916i | ||||
\(826\) | −3.48354 | − | 6.20756i | −0.121208 | − | 0.215989i | ||||
\(827\) | 7.98030 | + | 19.2661i | 0.277502 | + | 0.669950i | 0.999765 | − | 0.0216689i | \(-0.00689796\pi\) |
−0.722263 | + | 0.691619i | \(0.756898\pi\) | |||||||
\(828\) | 11.3178 | − | 2.73812i | 0.393320 | − | 0.0951561i | ||||
\(829\) | −3.59585 | − | 1.48945i | −0.124889 | − | 0.0517307i | 0.319364 | − | 0.947632i | \(-0.396531\pi\) |
−0.444253 | + | 0.895901i | \(0.646531\pi\) | |||||||
\(830\) | −25.9176 | − | 20.3950i | −0.899613 | − | 0.707922i | ||||
\(831\) | 61.5269 | 2.13434 | ||||||||
\(832\) | 35.0612 | − | 11.5960i | 1.21553 | − | 0.402018i | ||||
\(833\) | 22.1194 | 0.766391 | ||||||||
\(834\) | 34.9641 | + | 27.5139i | 1.21071 | + | 0.952727i | ||||
\(835\) | −26.2818 | − | 10.8863i | −0.909518 | − | 0.376735i | ||||
\(836\) | 3.95549 | − | 0.956955i | 0.136804 | − | 0.0330970i | ||||
\(837\) | −0.0929169 | − | 0.224321i | −0.00321168 | − | 0.00775368i | ||||
\(838\) | 7.90385 | + | 14.0844i | 0.273034 | + | 0.486538i | ||||
\(839\) | 13.8461 | − | 13.8461i | 0.478020 | − | 0.478020i | −0.426478 | − | 0.904498i | \(-0.640246\pi\) |
0.904498 | + | 0.426478i | \(0.140246\pi\) | |||||||
\(840\) | 11.3646 | − | 4.22655i | 0.392116 | − | 0.145830i | ||||
\(841\) | 6.77318 | + | 6.77318i | 0.233558 | + | 0.233558i | ||||
\(842\) | −1.72505 | + | 6.13713i | −0.0594492 | + | 0.211499i | ||||
\(843\) | 18.8050 | − | 7.78929i | 0.647679 | − | 0.268277i | ||||
\(844\) | −19.2623 | − | 3.01630i | −0.663037 | − | 0.103825i | ||||
\(845\) | −5.87515 | + | 14.1839i | −0.202111 | + | 0.487940i | ||||
\(846\) | −6.48853 | + | 0.773727i | −0.223080 | + | 0.0266013i | ||||
\(847\) | 4.68274i | 0.160901i | ||||||||
\(848\) | −12.8672 | + | 15.1728i | −0.441861 | + | 0.521035i | ||||
\(849\) | − | 8.50750i | − | 0.291977i | ||||||
\(850\) | −0.960485 | − | 8.05470i | −0.0329444 | − | 0.276274i | ||||
\(851\) | 0.964543 | − | 2.32861i | 0.0330641 | − | 0.0798239i | ||||
\(852\) | 39.7147 | + | 54.4618i | 1.36060 | + | 1.86583i | ||||
\(853\) | 18.0597 | − | 7.48055i | 0.618351 | − | 0.256129i | −0.0514436 | − | 0.998676i | \(-0.516382\pi\) |
0.669794 | + | 0.742547i | \(0.266382\pi\) | |||||||
\(854\) | −19.0034 | − | 5.34157i | −0.650283 | − | 0.182785i | ||||
\(855\) | −2.05117 | − | 2.05117i | −0.0701485 | − | 0.0701485i | ||||
\(856\) | −0.289121 | + | 7.88638i | −0.00988196 | + | 0.269551i | ||||
\(857\) | −6.35294 | + | 6.35294i | −0.217012 | + | 0.217012i | −0.807238 | − | 0.590226i | \(-0.799039\pi\) |
0.590226 | + | 0.807238i | \(0.299039\pi\) | |||||||
\(858\) | 56.1316 | − | 31.4998i | 1.91630 | − | 1.07539i | ||||
\(859\) | 9.72800 | + | 23.4855i | 0.331915 | + | 0.801314i | 0.998440 | + | 0.0558315i | \(0.0177810\pi\) |
−0.666525 | + | 0.745483i | \(0.732219\pi\) | |||||||
\(860\) | −5.31343 | + | 8.70489i | −0.181186 | + | 0.296834i | ||||
\(861\) | 5.06164 | + | 2.09660i | 0.172500 | + | 0.0714520i | ||||
\(862\) | 14.8500 | − | 18.8711i | 0.505793 | − | 0.642751i | ||||
\(863\) | −0.0884535 | −0.00301099 | −0.00150550 | − | 0.999999i | \(-0.500479\pi\) | ||||
−0.00150550 | + | 0.999999i | \(0.500479\pi\) | |||||||
\(864\) | 0.233745 | + | 1.14882i | 0.00795218 | + | 0.0390837i | ||||
\(865\) | −3.55008 | −0.120706 | ||||||||
\(866\) | −14.8296 | + | 18.8452i | −0.503931 | + | 0.640385i | ||||
\(867\) | −8.92588 | − | 3.69722i | −0.303139 | − | 0.125564i | ||||
\(868\) | −1.88118 | − | 1.14826i | −0.0638513 | − | 0.0389745i | ||||
\(869\) | −26.3379 | − | 63.5854i | −0.893453 | − | 2.15699i | ||||
\(870\) | 34.9124 | − | 19.5921i | 1.18364 | − | 0.664233i | ||||
\(871\) | 12.0341 | − | 12.0341i | 0.407761 | − | 0.407761i | ||||
\(872\) | 17.4129 | + | 18.7382i | 0.589676 | + | 0.634557i | ||||
\(873\) | 13.4303 | + | 13.4303i | 0.454547 | + | 0.454547i | ||||
\(874\) | −1.30834 | − | 0.367755i | −0.0442554 | − | 0.0124395i | ||||
\(875\) | 10.5747 | − | 4.38018i | 0.357490 | − | 0.148077i | ||||
\(876\) | −42.6021 | + | 31.0663i | −1.43939 | + | 1.04963i | ||||
\(877\) | −4.24514 | + | 10.2487i | −0.143348 | + | 0.346073i | −0.979205 | − | 0.202875i | \(-0.934971\pi\) |
0.835857 | + | 0.548948i | \(0.184971\pi\) | |||||||
\(878\) | 2.50065 | + | 20.9706i | 0.0843928 | + | 0.707724i | ||||
\(879\) | − | 18.6702i | − | 0.629729i | ||||||
\(880\) | 28.1301 | + | 9.03127i | 0.948265 | + | 0.304444i | ||||
\(881\) | 23.9859i | 0.808105i | 0.914736 | + | 0.404052i | \(0.132399\pi\) | ||||
−0.914736 | + | 0.404052i | \(0.867601\pi\) | |||||||
\(882\) | −26.4840 | + | 3.15809i | −0.891763 | + | 0.106339i | ||||
\(883\) | −7.74892 | + | 18.7075i | −0.260772 | + | 0.629559i | −0.998987 | − | 0.0450067i | \(-0.985669\pi\) |
0.738215 | + | 0.674566i | \(0.235669\pi\) | |||||||
\(884\) | −5.16619 | + | 32.9916i | −0.173758 | + | 1.10963i | ||||
\(885\) | −22.5326 | + | 9.33333i | −0.757426 | + | 0.313736i | ||||
\(886\) | −6.31087 | + | 22.4518i | −0.212018 | + | 0.754284i | ||||
\(887\) | −36.4494 | − | 36.4494i | −1.22385 | − | 1.22385i | −0.966252 | − | 0.257600i | \(-0.917068\pi\) |
−0.257600 | − | 0.966252i | \(-0.582932\pi\) | |||||||
\(888\) | 8.46907 | + | 3.87737i | 0.284203 | + | 0.130116i | ||||
\(889\) | −8.68550 | + | 8.68550i | −0.291302 | + | 0.291302i | ||||
\(890\) | 9.83627 | + | 17.5279i | 0.329713 | + | 0.587538i | ||||
\(891\) | −13.3710 | − | 32.2804i | −0.447944 | − | 1.08143i | ||||
\(892\) | 10.6368 | + | 43.9665i | 0.356148 | + | 1.47211i | ||||
\(893\) | 0.704611 | + | 0.291859i | 0.0235789 | + | 0.00976670i | ||||
\(894\) | 17.0266 | + | 13.3986i | 0.569456 | + | 0.448115i | ||||
\(895\) | 9.07646 | 0.303392 | ||||||||
\(896\) | 7.85842 | + | 7.17548i | 0.262532 | + | 0.239716i | ||||
\(897\) | −21.4951 | −0.717700 | ||||||||
\(898\) | 8.97096 | + | 7.05941i | 0.299365 | + | 0.235576i | ||||
\(899\) | −6.72293 | − | 2.78473i | −0.224222 | − | 0.0928759i | ||||
\(900\) | 2.30002 | + | 9.50693i | 0.0766673 | + | 0.316898i | ||||
\(901\) | −6.88431 | − | 16.6202i | −0.229350 | − | 0.553699i | ||||
\(902\) | 6.53304 | + | 11.6417i | 0.217526 | + | 0.387625i | ||||
\(903\) | −4.52728 | + | 4.52728i | −0.150658 | + | 0.150658i | ||||
\(904\) | −30.2837 | − | 13.8647i | −1.00722 | − | 0.461133i | ||||
\(905\) | −2.65685 | − | 2.65685i | −0.0883168 | − | 0.0883168i | ||||
\(906\) | 14.8847 | − | 52.9545i | 0.494510 | − | 1.75929i | ||||
\(907\) | −38.2753 | + | 15.8541i | −1.27091 | + | 0.526428i | −0.913241 | − | 0.407421i | \(-0.866428\pi\) |
−0.357669 | + | 0.933848i | \(0.616428\pi\) | |||||||
\(908\) | 3.18592 | − | 20.3455i | 0.105729 | − | 0.675190i | ||||
\(909\) | 9.55032 | − | 23.0565i | 0.316764 | − | 0.764737i | ||||
\(910\) | −11.2661 | + | 1.34343i | −0.373467 | + | 0.0445341i | ||||
\(911\) | − | 12.5214i | − | 0.414851i | −0.978251 | − | 0.207426i | \(-0.933492\pi\) | ||
0.978251 | − | 0.207426i | \(-0.0665085\pi\) | |||||||
\(912\) | 1.53527 | − | 4.78197i | 0.0508379 | − | 0.158347i | ||||
\(913\) | − | 50.4497i | − | 1.66964i | ||||||
\(914\) | −1.81947 | − | 15.2582i | −0.0601826 | − | 0.504695i | ||||
\(915\) | −25.8827 | + | 62.4864i | −0.855657 | + | 2.06574i | ||||
\(916\) | 27.5830 | − | 20.1141i | 0.911367 | − | 0.664587i | ||||
\(917\) | 6.13401 | − | 2.54079i | 0.202563 | − | 0.0839043i | ||||
\(918\) | −1.02057 | − | 0.286867i | −0.0336839 | − | 0.00946804i | ||||
\(919\) | 1.19513 | + | 1.19513i | 0.0394238 | + | 0.0394238i | 0.726544 | − | 0.687120i | \(-0.241125\pi\) |
−0.687120 | + | 0.726544i | \(0.741125\pi\) | |||||||
\(920\) | −6.71627 | − | 7.22746i | −0.221429 | − | 0.238282i | ||||
\(921\) | 14.3330 | − | 14.3330i | 0.472287 | − | 0.472287i | ||||
\(922\) | −19.0206 | + | 10.6739i | −0.626410 | + | 0.351527i | ||||
\(923\) | −24.1369 | − | 58.2715i | −0.794475 | − | 1.91803i | ||||
\(924\) | 15.8316 | + | 9.66352i | 0.520820 | + | 0.317906i | ||||
\(925\) | 1.95604 | + | 0.810217i | 0.0643141 | + | 0.0266398i | ||||
\(926\) | 23.8957 | − | 30.3662i | 0.785261 | − | 0.997894i | ||||
\(927\) | −20.6194 | −0.677231 | ||||||||
\(928\) | 29.2994 | + | 19.3923i | 0.961801 | + | 0.636585i | ||||
\(929\) | 45.1410 | 1.48103 | 0.740514 | − | 0.672041i | \(-0.234582\pi\) | ||||
0.740514 | + | 0.672041i | \(0.234582\pi\) | |||||||
\(930\) | −4.66981 | + | 5.93430i | −0.153129 | + | 0.194593i | ||||
\(931\) | 2.87599 | + | 1.19127i | 0.0942566 | + | 0.0390424i | ||||
\(932\) | −15.3974 | + | 25.2252i | −0.504357 | + | 0.826279i | ||||
\(933\) | 20.0961 | + | 48.5162i | 0.657915 | + | 1.58835i | ||||
\(934\) | −30.3124 | + | 17.0106i | −0.991852 | + | 0.556605i | ||||
\(935\) | −18.8910 | + | 18.8910i | −0.617801 | + | 0.617801i | ||||
\(936\) | 1.47520 | − | 40.2392i | 0.0482185 | − | 1.31526i | ||||
\(937\) | 2.58002 | + | 2.58002i | 0.0842857 | + | 0.0842857i | 0.747993 | − | 0.663707i | \(-0.231018\pi\) |
−0.663707 | + | 0.747993i | \(0.731018\pi\) | |||||||
\(938\) | 4.72120 | + | 1.32706i | 0.154153 | + | 0.0433300i | ||||
\(939\) | −59.0937 | + | 24.4774i | −1.92845 | + | 0.798790i | ||||
\(940\) | 3.26226 | + | 4.47363i | 0.106403 | + | 0.145914i | ||||
\(941\) | 2.24720 | − | 5.42523i | 0.0732568 | − | 0.176857i | −0.883009 | − | 0.469355i | \(-0.844486\pi\) |
0.956266 | + | 0.292498i | \(0.0944864\pi\) | |||||||
\(942\) | −0.547636 | − | 4.59252i | −0.0178429 | − | 0.149632i | ||||
\(943\) | − | 4.45807i | − | 0.145175i | ||||||
\(944\) | −16.3251 | − | 13.8444i | −0.531336 | − | 0.450597i | ||||
\(945\) | − | 0.360189i | − | 0.0117170i | ||||||
\(946\) | −15.4908 | + | 1.84721i | −0.503650 | + | 0.0600579i | ||||
\(947\) | 17.5640 | − | 42.4032i | 0.570753 | − | 1.37792i | −0.330162 | − | 0.943924i | \(-0.607103\pi\) |
0.900915 | − | 0.433996i | \(-0.142897\pi\) | |||||||
\(948\) | −83.9148 | − | 13.1403i | −2.72543 | − | 0.426776i | ||||
\(949\) | 45.5822 | − | 18.8808i | 1.47966 | − | 0.612896i | ||||
\(950\) | 0.308915 | − | 1.09901i | 0.0100225 | − | 0.0356566i | ||||
\(951\) | 17.9788 | + | 17.9788i | 0.583003 | + | 0.583003i | ||||
\(952\) | −9.01922 | + | 3.35430i | −0.292315 | + | 0.108713i | ||||
\(953\) | 14.8079 | − | 14.8079i | 0.479673 | − | 0.479673i | −0.425354 | − | 0.905027i | \(-0.639850\pi\) |
0.905027 | + | 0.425354i | \(0.139850\pi\) | |||||||
\(954\) | 10.6157 | + | 18.9168i | 0.343695 | + | 0.612454i | ||||
\(955\) | 13.7194 | + | 33.1216i | 0.443949 | + | 1.07179i | ||||
\(956\) | 22.6920 | − | 5.48990i | 0.733913 | − | 0.177556i | ||||
\(957\) | 56.5787 | + | 23.4357i | 1.82893 | + | 0.757568i | ||||
\(958\) | 4.34718 | + | 3.42088i | 0.140451 | + | 0.110524i | ||||
\(959\) | −6.49290 | −0.209667 | ||||||||
\(960\) | 27.6006 | − | 23.8249i | 0.890805 | − | 0.768945i | ||||
\(961\) | −29.6274 | −0.955723 | ||||||||
\(962\) | −6.84944 | − | 5.38995i | −0.220835 | − | 0.173779i | ||||
\(963\) | 7.94981 | + | 3.29292i | 0.256179 | + | 0.106113i | ||||
\(964\) | 26.8821 | − | 6.50360i | 0.865813 | − | 0.209467i | ||||
\(965\) | 12.7605 | + | 30.8066i | 0.410775 | + | 0.991698i | ||||
\(966\) | −3.03127 | − | 5.40163i | −0.0975296 | − | 0.173795i | ||||
\(967\) | 24.8604 | − | 24.8604i | 0.799455 | − | 0.799455i | −0.183554 | − | 0.983010i | \(-0.558760\pi\) |
0.983010 | + | 0.183554i | \(0.0587604\pi\) | |||||||
\(968\) | 4.90848 | + | 13.1982i | 0.157764 | + | 0.424206i | ||||
\(969\) | 3.21137 | + | 3.21137i | 0.103164 | + | 0.103164i | ||||
\(970\) | 4.35480 | − | 15.4928i | 0.139824 | − | 0.497445i | ||||
\(971\) | −23.3388 | + | 9.66725i | −0.748978 | + | 0.310237i | −0.724324 | − | 0.689459i | \(-0.757848\pi\) |
−0.0246533 | + | 0.999696i | \(0.507848\pi\) | |||||||
\(972\) | −43.8295 | − | 6.86330i | −1.40583 | − | 0.220140i | ||||
\(973\) | 4.59099 | − | 11.0836i | 0.147180 | − | 0.355325i | ||||
\(974\) | −16.1791 | + | 1.92928i | −0.518411 | + | 0.0618181i | ||||
\(975\) | − | 18.0559i | − | 0.578251i | ||||||
\(976\) | −59.1598 | + | 4.86441i | −1.89366 | + | 0.155706i | ||||
\(977\) | 54.7057i | 1.75019i | 0.483952 | + | 0.875094i | \(0.339201\pi\) | ||||
−0.483952 | + | 0.875094i | \(0.660799\pi\) | |||||||
\(978\) | −9.53220 | − | 79.9378i | −0.304806 | − | 2.55613i | ||||
\(979\) | −11.7660 | + | 28.4056i | −0.376042 | + | 0.907846i | ||||
\(980\) | 13.3154 | + | 18.2598i | 0.425346 | + | 0.583289i | ||||
\(981\) | 25.7684 | − | 10.6736i | 0.822720 | − | 0.340782i | ||||
\(982\) | 16.6352 | + | 4.67590i | 0.530851 | + | 0.149214i | ||||
\(983\) | −7.85315 | − | 7.85315i | −0.250477 | − | 0.250477i | 0.570689 | − | 0.821166i | \(-0.306676\pi\) |
−0.821166 | + | 0.570689i | \(0.806676\pi\) | |||||||
\(984\) | 16.4638 | + | 0.603577i | 0.524847 | + | 0.0192413i | ||||
\(985\) | −0.295389 | + | 0.295389i | −0.00941188 | + | 0.00941188i | ||||
\(986\) | −27.7073 | + | 15.5487i | −0.882382 | + | 0.495172i | ||||
\(987\) | 1.33019 | + | 3.21137i | 0.0423405 | + | 0.102219i | ||||
\(988\) | −2.44853 | + | 4.01138i | −0.0778980 | + | 0.127619i | ||||
\(989\) | 4.81324 | + | 1.99371i | 0.153052 | + | 0.0633963i | ||||
\(990\) | 19.9214 | − | 25.3157i | 0.633144 | − | 0.804587i | ||||
\(991\) | −52.4878 | −1.66733 | −0.833665 | − | 0.552270i | \(-0.813762\pi\) | ||||
−0.833665 | + | 0.552270i | \(0.813762\pi\) | |||||||
\(992\) | −6.50567 | − | 1.26449i | −0.206555 | − | 0.0401476i | ||||
\(993\) | −20.2217 | −0.641716 | ||||||||
\(994\) | 11.2396 | − | 14.2831i | 0.356498 | − | 0.453031i | ||||
\(995\) | 28.7272 | + | 11.8992i | 0.910715 | + | 0.377230i | ||||
\(996\) | −53.1430 | − | 32.4383i | −1.68390 | − | 1.02785i | ||||
\(997\) | 12.8431 | + | 31.0060i | 0.406745 | + | 0.981970i | 0.985988 | + | 0.166815i | \(0.0533483\pi\) |
−0.579243 | + | 0.815155i | \(0.696652\pi\) | |||||||
\(998\) | 39.9848 | − | 22.4386i | 1.26570 | − | 0.710280i | ||||
\(999\) | 0.195654 | − | 0.195654i | 0.00619021 | − | 0.00619021i |
(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 | 32.2.g.b.29.2 | yes | 8 | |
3.2 | odd | 2 | 288.2.v.b.253.1 | 8 | |||
4.3 | odd | 2 | 128.2.g.b.81.2 | 8 | |||
5.2 | odd | 4 | 800.2.ba.d.349.1 | 8 | |||
5.3 | odd | 4 | 800.2.ba.c.349.2 | 8 | |||
5.4 | even | 2 | 800.2.y.b.701.1 | 8 | |||
8.3 | odd | 2 | 256.2.g.c.161.1 | 8 | |||
8.5 | even | 2 | 256.2.g.d.161.2 | 8 | |||
12.11 | even | 2 | 1152.2.v.b.721.1 | 8 | |||
16.3 | odd | 4 | 512.2.g.g.65.1 | 8 | |||
16.5 | even | 4 | 512.2.g.h.65.1 | 8 | |||
16.11 | odd | 4 | 512.2.g.f.65.2 | 8 | |||
16.13 | even | 4 | 512.2.g.e.65.2 | 8 | |||
32.3 | odd | 8 | 512.2.g.f.449.2 | 8 | |||
32.5 | even | 8 | 256.2.g.d.97.2 | 8 | |||
32.11 | odd | 8 | 128.2.g.b.49.2 | 8 | |||
32.13 | even | 8 | 512.2.g.e.449.2 | 8 | |||
32.19 | odd | 8 | 512.2.g.g.449.1 | 8 | |||
32.21 | even | 8 | inner | 32.2.g.b.21.2 | ✓ | 8 | |
32.27 | odd | 8 | 256.2.g.c.97.1 | 8 | |||
32.29 | even | 8 | 512.2.g.h.449.1 | 8 | |||
64.11 | odd | 16 | 4096.2.a.q.1.7 | 8 | |||
64.21 | even | 16 | 4096.2.a.k.1.7 | 8 | |||
64.43 | odd | 16 | 4096.2.a.q.1.2 | 8 | |||
64.53 | even | 16 | 4096.2.a.k.1.2 | 8 | |||
96.11 | even | 8 | 1152.2.v.b.433.1 | 8 | |||
96.53 | odd | 8 | 288.2.v.b.181.1 | 8 | |||
160.53 | odd | 8 | 800.2.ba.d.149.1 | 8 | |||
160.117 | odd | 8 | 800.2.ba.c.149.2 | 8 | |||
160.149 | even | 8 | 800.2.y.b.501.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.2.g.b.21.2 | ✓ | 8 | 32.21 | even | 8 | inner | |
32.2.g.b.29.2 | yes | 8 | 1.1 | even | 1 | trivial | |
128.2.g.b.49.2 | 8 | 32.11 | odd | 8 | |||
128.2.g.b.81.2 | 8 | 4.3 | odd | 2 | |||
256.2.g.c.97.1 | 8 | 32.27 | odd | 8 | |||
256.2.g.c.161.1 | 8 | 8.3 | odd | 2 | |||
256.2.g.d.97.2 | 8 | 32.5 | even | 8 | |||
256.2.g.d.161.2 | 8 | 8.5 | even | 2 | |||
288.2.v.b.181.1 | 8 | 96.53 | odd | 8 | |||
288.2.v.b.253.1 | 8 | 3.2 | odd | 2 | |||
512.2.g.e.65.2 | 8 | 16.13 | even | 4 | |||
512.2.g.e.449.2 | 8 | 32.13 | even | 8 | |||
512.2.g.f.65.2 | 8 | 16.11 | odd | 4 | |||
512.2.g.f.449.2 | 8 | 32.3 | odd | 8 | |||
512.2.g.g.65.1 | 8 | 16.3 | odd | 4 | |||
512.2.g.g.449.1 | 8 | 32.19 | odd | 8 | |||
512.2.g.h.65.1 | 8 | 16.5 | even | 4 | |||
512.2.g.h.449.1 | 8 | 32.29 | even | 8 | |||
800.2.y.b.501.1 | 8 | 160.149 | even | 8 | |||
800.2.y.b.701.1 | 8 | 5.4 | even | 2 | |||
800.2.ba.c.149.2 | 8 | 160.117 | odd | 8 | |||
800.2.ba.c.349.2 | 8 | 5.3 | odd | 4 | |||
800.2.ba.d.149.1 | 8 | 160.53 | odd | 8 | |||
800.2.ba.d.349.1 | 8 | 5.2 | odd | 4 | |||
1152.2.v.b.433.1 | 8 | 96.11 | even | 8 | |||
1152.2.v.b.721.1 | 8 | 12.11 | even | 2 | |||
4096.2.a.k.1.2 | 8 | 64.53 | even | 16 | |||
4096.2.a.k.1.7 | 8 | 64.21 | even | 16 | |||
4096.2.a.q.1.2 | 8 | 64.43 | odd | 16 | |||
4096.2.a.q.1.7 | 8 | 64.11 | odd | 16 |