Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(19,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.h (of order \(10\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + 6259 x^{8} - 11958 x^{7} - 15752 x^{6} + 14670 x^{5} + 18271 x^{4} + \cdots + 11105 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Root | \(-0.705457 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 150.19 |
Dual form | 150.2.h.b.79.4 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | −0.587785 | − | 0.809017i | −0.339358 | − | 0.467086i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 1.97959 | + | 1.03982i | 0.885299 | + | 0.465021i | ||||
\(6\) | −0.809017 | − | 0.587785i | −0.330280 | − | 0.239962i | ||||
\(7\) | 0.329315i | 0.124469i | 0.998062 | + | 0.0622347i | \(0.0198227\pi\) | ||||
−0.998062 | + | 0.0622347i | \(0.980177\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −0.309017 | + | 0.951057i | −0.103006 | + | 0.317019i | ||||
\(10\) | 2.20402 | + | 0.377200i | 0.696973 | + | 0.119281i | ||||
\(11\) | −1.55540 | − | 4.78704i | −0.468972 | − | 1.44335i | −0.853918 | − | 0.520408i | \(-0.825780\pi\) |
0.384946 | − | 0.922939i | \(-0.374220\pi\) | |||||||
\(12\) | −0.951057 | − | 0.309017i | −0.274546 | − | 0.0892055i | ||||
\(13\) | −0.458554 | − | 0.148993i | −0.127180 | − | 0.0413233i | 0.244735 | − | 0.969590i | \(-0.421299\pi\) |
−0.371915 | + | 0.928267i | \(0.621299\pi\) | |||||||
\(14\) | 0.101764 | + | 0.313197i | 0.0271975 | + | 0.0837054i | ||||
\(15\) | −0.322342 | − | 2.21271i | −0.0832283 | − | 0.571320i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −3.98877 | + | 5.49007i | −0.967418 | + | 1.33154i | −0.0240779 | + | 0.999710i | \(0.507665\pi\) |
−0.943340 | + | 0.331827i | \(0.892335\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 4.40115 | + | 3.19762i | 1.00969 | + | 0.733585i | 0.964145 | − | 0.265377i | \(-0.0854964\pi\) |
0.0455487 | + | 0.998962i | \(0.485496\pi\) | |||||||
\(20\) | 2.21271 | − | 0.322342i | 0.494778 | − | 0.0720778i | ||||
\(21\) | 0.266421 | − | 0.193566i | 0.0581379 | − | 0.0422397i | ||||
\(22\) | −2.95855 | − | 4.07210i | −0.630766 | − | 0.868175i | ||||
\(23\) | −6.18239 | + | 2.00878i | −1.28912 | + | 0.418860i | −0.871783 | − | 0.489893i | \(-0.837036\pi\) |
−0.417335 | + | 0.908753i | \(0.637036\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 2.83755 | + | 4.11683i | 0.567510 | + | 0.823366i | ||||
\(26\) | −0.482152 | −0.0945578 | ||||||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | 0.193566 | + | 0.266421i | 0.0365806 | + | 0.0503489i | ||||
\(29\) | −4.87203 | + | 3.53974i | −0.904714 | + | 0.657313i | −0.939672 | − | 0.342076i | \(-0.888870\pi\) |
0.0349585 | + | 0.999389i | \(0.488870\pi\) | |||||||
\(30\) | −0.990331 | − | 2.00481i | −0.180809 | − | 0.366026i | ||||
\(31\) | −1.06685 | − | 0.775108i | −0.191611 | − | 0.139214i | 0.487844 | − | 0.872931i | \(-0.337784\pi\) |
−0.679455 | + | 0.733717i | \(0.737784\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −2.95855 | + | 4.07210i | −0.515018 | + | 0.708862i | ||||
\(34\) | −2.09702 | + | 6.45396i | −0.359636 | + | 1.10685i | ||||
\(35\) | −0.342428 | + | 0.651908i | −0.0578809 | + | 0.110193i | ||||
\(36\) | 0.309017 | + | 0.951057i | 0.0515028 | + | 0.158509i | ||||
\(37\) | −0.741956 | − | 0.241076i | −0.121977 | − | 0.0396327i | 0.247393 | − | 0.968915i | \(-0.420426\pi\) |
−0.369369 | + | 0.929283i | \(0.620426\pi\) | |||||||
\(38\) | 5.17386 | + | 1.68109i | 0.839312 | + | 0.272709i | ||||
\(39\) | 0.148993 | + | 0.458554i | 0.0238580 | + | 0.0734274i | ||||
\(40\) | 2.00481 | − | 0.990331i | 0.316988 | − | 0.156585i | ||||
\(41\) | 3.86905 | − | 11.9077i | 0.604245 | − | 1.85967i | 0.102344 | − | 0.994749i | \(-0.467366\pi\) |
0.501901 | − | 0.864925i | \(-0.332634\pi\) | |||||||
\(42\) | 0.193566 | − | 0.266421i | 0.0298680 | − | 0.0411097i | ||||
\(43\) | − | 2.47582i | − | 0.377559i | −0.982020 | − | 0.188779i | \(-0.939547\pi\) | ||
0.982020 | − | 0.188779i | \(-0.0604531\pi\) | |||||||
\(44\) | −4.07210 | − | 2.95855i | −0.613892 | − | 0.446019i | ||||
\(45\) | −1.60065 | + | 1.56138i | −0.238611 | + | 0.232757i | ||||
\(46\) | −5.25906 | + | 3.82093i | −0.775405 | + | 0.563365i | ||||
\(47\) | −2.57473 | − | 3.54381i | −0.375563 | − | 0.516918i | 0.578839 | − | 0.815442i | \(-0.303506\pi\) |
−0.954402 | + | 0.298523i | \(0.903506\pi\) | |||||||
\(48\) | −0.951057 | + | 0.309017i | −0.137273 | + | 0.0446028i | ||||
\(49\) | 6.89155 | 0.984507 | ||||||||
\(50\) | 3.97084 | + | 3.03849i | 0.561562 | + | 0.429707i | ||||
\(51\) | 6.78610 | 0.950244 | ||||||||
\(52\) | −0.458554 | + | 0.148993i | −0.0635900 | + | 0.0206616i | ||||
\(53\) | 0.990953 | + | 1.36393i | 0.136118 | + | 0.187350i | 0.871634 | − | 0.490157i | \(-0.163060\pi\) |
−0.735516 | + | 0.677507i | \(0.763060\pi\) | |||||||
\(54\) | 0.809017 | − | 0.587785i | 0.110093 | − | 0.0799874i | ||||
\(55\) | 1.89860 | − | 11.0937i | 0.256007 | − | 1.49588i | ||||
\(56\) | 0.266421 | + | 0.193566i | 0.0356021 | + | 0.0258664i | ||||
\(57\) | − | 5.44012i | − | 0.720562i | ||||||
\(58\) | −3.53974 | + | 4.87203i | −0.464791 | + | 0.639729i | ||||
\(59\) | −0.313909 | + | 0.966113i | −0.0408675 | + | 0.125777i | −0.969409 | − | 0.245452i | \(-0.921064\pi\) |
0.928541 | + | 0.371229i | \(0.121064\pi\) | |||||||
\(60\) | −1.56138 | − | 1.60065i | −0.201573 | − | 0.206644i | ||||
\(61\) | 1.29419 | + | 3.98310i | 0.165704 | + | 0.509984i | 0.999087 | − | 0.0427111i | \(-0.0135995\pi\) |
−0.833384 | + | 0.552695i | \(0.813599\pi\) | |||||||
\(62\) | −1.25415 | − | 0.407499i | −0.159277 | − | 0.0517524i | ||||
\(63\) | −0.313197 | − | 0.101764i | −0.0394591 | − | 0.0128210i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −0.752823 | − | 0.771759i | −0.0933762 | − | 0.0957249i | ||||
\(66\) | −1.55540 | + | 4.78704i | −0.191457 | + | 0.589244i | ||||
\(67\) | −1.84819 | + | 2.54381i | −0.225792 | + | 0.310776i | −0.906850 | − | 0.421453i | \(-0.861520\pi\) |
0.681058 | + | 0.732230i | \(0.261520\pi\) | |||||||
\(68\) | 6.78610i | 0.822935i | ||||||||
\(69\) | 5.25906 | + | 3.82093i | 0.633116 | + | 0.459986i | ||||
\(70\) | −0.124218 | + | 0.725818i | −0.0148469 | + | 0.0867518i | ||||
\(71\) | −4.62101 | + | 3.35736i | −0.548413 | + | 0.398446i | −0.827200 | − | 0.561907i | \(-0.810068\pi\) |
0.278787 | + | 0.960353i | \(0.410068\pi\) | |||||||
\(72\) | 0.587785 | + | 0.809017i | 0.0692712 | + | 0.0953436i | ||||
\(73\) | −2.79866 | + | 0.909340i | −0.327558 | + | 0.106430i | −0.468180 | − | 0.883633i | \(-0.655090\pi\) |
0.140621 | + | 0.990063i | \(0.455090\pi\) | |||||||
\(74\) | −0.780139 | −0.0906893 | ||||||||
\(75\) | 1.66272 | − | 4.71544i | 0.191994 | − | 0.544492i | ||||
\(76\) | 5.44012 | 0.624025 | ||||||||
\(77\) | 1.57644 | − | 0.512218i | 0.179652 | − | 0.0583726i | ||||
\(78\) | 0.283402 | + | 0.390069i | 0.0320890 | + | 0.0441667i | ||||
\(79\) | 6.86459 | − | 4.98742i | 0.772327 | − | 0.561128i | −0.130339 | − | 0.991469i | \(-0.541607\pi\) |
0.902666 | + | 0.430341i | \(0.141607\pi\) | |||||||
\(80\) | 1.60065 | − | 1.56138i | 0.178959 | − | 0.174568i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | − | 12.5205i | − | 1.38266i | ||||||
\(83\) | 10.1073 | − | 13.9114i | 1.10942 | − | 1.52698i | 0.287142 | − | 0.957888i | \(-0.407295\pi\) |
0.822274 | − | 0.569092i | \(-0.192705\pi\) | |||||||
\(84\) | 0.101764 | − | 0.313197i | 0.0111034 | − | 0.0341726i | ||||
\(85\) | −13.6048 | + | 6.72048i | −1.47565 | + | 0.728939i | ||||
\(86\) | −0.765070 | − | 2.35464i | −0.0824996 | − | 0.253908i | ||||
\(87\) | 5.72742 | + | 1.86095i | 0.614044 | + | 0.199515i | ||||
\(88\) | −4.78704 | − | 1.55540i | −0.510300 | − | 0.165807i | ||||
\(89\) | −1.06683 | − | 3.28336i | −0.113084 | − | 0.348036i | 0.878459 | − | 0.477818i | \(-0.158572\pi\) |
−0.991543 | + | 0.129782i | \(0.958572\pi\) | |||||||
\(90\) | −1.03982 | + | 1.97959i | −0.109607 | + | 0.208667i | ||||
\(91\) | 0.0490657 | − | 0.151009i | 0.00514348 | − | 0.0158300i | ||||
\(92\) | −3.82093 | + | 5.25906i | −0.398359 | + | 0.548294i | ||||
\(93\) | 1.31869i | 0.136742i | ||||||||
\(94\) | −3.54381 | − | 2.57473i | −0.365517 | − | 0.265563i | ||||
\(95\) | 5.38752 | + | 10.9064i | 0.552748 | + | 1.11897i | ||||
\(96\) | −0.809017 | + | 0.587785i | −0.0825700 | + | 0.0599906i | ||||
\(97\) | −5.58986 | − | 7.69378i | −0.567564 | − | 0.781185i | 0.424699 | − | 0.905334i | \(-0.360380\pi\) |
−0.992264 | + | 0.124149i | \(0.960380\pi\) | |||||||
\(98\) | 6.55426 | − | 2.12961i | 0.662080 | − | 0.215123i | ||||
\(99\) | 5.03339 | 0.505875 | ||||||||
\(100\) | 4.71544 | + | 1.66272i | 0.471544 | + | 0.166272i | ||||
\(101\) | 19.2435 | 1.91480 | 0.957400 | − | 0.288765i | \(-0.0932447\pi\) | ||||
0.957400 | + | 0.288765i | \(0.0932447\pi\) | |||||||
\(102\) | 6.45396 | − | 2.09702i | 0.639037 | − | 0.207636i | ||||
\(103\) | −3.00175 | − | 4.13156i | −0.295771 | − | 0.407095i | 0.635107 | − | 0.772424i | \(-0.280956\pi\) |
−0.930878 | + | 0.365330i | \(0.880956\pi\) | |||||||
\(104\) | −0.390069 | + | 0.283402i | −0.0382494 | + | 0.0277898i | ||||
\(105\) | 0.728679 | − | 0.106152i | 0.0711118 | − | 0.0103594i | ||||
\(106\) | 1.36393 | + | 0.990953i | 0.132477 | + | 0.0962499i | ||||
\(107\) | 15.3340i | 1.48239i | 0.671290 | + | 0.741194i | \(0.265740\pi\) | ||||
−0.671290 | + | 0.741194i | \(0.734260\pi\) | |||||||
\(108\) | 0.587785 | − | 0.809017i | 0.0565597 | − | 0.0778477i | ||||
\(109\) | 3.01609 | − | 9.28257i | 0.288889 | − | 0.889109i | −0.696317 | − | 0.717735i | \(-0.745179\pi\) |
0.985206 | − | 0.171375i | \(-0.0548208\pi\) | |||||||
\(110\) | −1.62247 | − | 11.1374i | −0.154697 | − | 1.06191i | ||||
\(111\) | 0.241076 | + | 0.741956i | 0.0228819 | + | 0.0704233i | ||||
\(112\) | 0.313197 | + | 0.101764i | 0.0295943 | + | 0.00961579i | ||||
\(113\) | 1.44148 | + | 0.468364i | 0.135603 | + | 0.0440599i | 0.376032 | − | 0.926607i | \(-0.377288\pi\) |
−0.240429 | + | 0.970667i | \(0.577288\pi\) | |||||||
\(114\) | −1.68109 | − | 5.17386i | −0.157449 | − | 0.484577i | ||||
\(115\) | −14.3274 | − | 2.45201i | −1.33603 | − | 0.228651i | ||||
\(116\) | −1.86095 | + | 5.72742i | −0.172785 | + | 0.531778i | ||||
\(117\) | 0.283402 | − | 0.390069i | 0.0262005 | − | 0.0360619i | ||||
\(118\) | 1.01583i | 0.0935149i | ||||||||
\(119\) | −1.80796 | − | 1.31356i | −0.165736 | − | 0.120414i | ||||
\(120\) | −1.97959 | − | 1.03982i | −0.180711 | − | 0.0949221i | ||||
\(121\) | −11.5973 | + | 8.42593i | −1.05430 | + | 0.765993i | ||||
\(122\) | 2.46169 | + | 3.38823i | 0.222871 | + | 0.306756i | ||||
\(123\) | −11.9077 | + | 3.86905i | −1.07368 | + | 0.348861i | ||||
\(124\) | −1.31869 | −0.118422 | ||||||||
\(125\) | 1.33642 | + | 11.1002i | 0.119533 | + | 0.992830i | ||||
\(126\) | −0.329315 | −0.0293377 | ||||||||
\(127\) | 11.9886 | − | 3.89534i | 1.06382 | − | 0.345656i | 0.275741 | − | 0.961232i | \(-0.411077\pi\) |
0.788077 | + | 0.615576i | \(0.211077\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | −2.00298 | + | 1.45525i | −0.176352 | + | 0.128128i | ||||
\(130\) | −0.954463 | − | 0.501351i | −0.0837120 | − | 0.0439714i | ||||
\(131\) | −11.3715 | − | 8.26187i | −0.993532 | − | 0.721843i | −0.0328399 | − | 0.999461i | \(-0.510455\pi\) |
−0.960692 | + | 0.277618i | \(0.910455\pi\) | |||||||
\(132\) | 5.03339i | 0.438101i | ||||||||
\(133\) | −1.05303 | + | 1.44936i | −0.0913089 | + | 0.125676i | ||||
\(134\) | −0.971651 | + | 2.99043i | −0.0839378 | + | 0.258334i | ||||
\(135\) | 2.20402 | + | 0.377200i | 0.189692 | + | 0.0324642i | ||||
\(136\) | 2.09702 | + | 6.45396i | 0.179818 | + | 0.553423i | ||||
\(137\) | 6.36127 | + | 2.06690i | 0.543480 | + | 0.176587i | 0.567874 | − | 0.823115i | \(-0.307766\pi\) |
−0.0243949 | + | 0.999702i | \(0.507766\pi\) | |||||||
\(138\) | 6.18239 | + | 2.00878i | 0.526280 | + | 0.170999i | ||||
\(139\) | 0.951151 | + | 2.92734i | 0.0806755 | + | 0.248294i | 0.983257 | − | 0.182226i | \(-0.0583303\pi\) |
−0.902581 | + | 0.430520i | \(0.858330\pi\) | |||||||
\(140\) | 0.106152 | + | 0.728679i | 0.00897148 | + | 0.0615846i | ||||
\(141\) | −1.35362 | + | 4.16600i | −0.113995 | + | 0.350841i | ||||
\(142\) | −3.35736 | + | 4.62101i | −0.281744 | + | 0.387787i | ||||
\(143\) | 2.42686i | 0.202944i | ||||||||
\(144\) | 0.809017 | + | 0.587785i | 0.0674181 | + | 0.0489821i | ||||
\(145\) | −13.3253 | + | 1.94120i | −1.10661 | + | 0.161208i | ||||
\(146\) | −2.38068 | + | 1.72967i | −0.197027 | + | 0.143148i | ||||
\(147\) | −4.05075 | − | 5.57538i | −0.334100 | − | 0.459850i | ||||
\(148\) | −0.741956 | + | 0.241076i | −0.0609884 | + | 0.0198163i | ||||
\(149\) | −5.06465 | −0.414912 | −0.207456 | − | 0.978244i | \(-0.566518\pi\) | ||||
−0.207456 | + | 0.978244i | \(0.566518\pi\) | |||||||
\(150\) | 0.124187 | − | 4.99846i | 0.0101398 | − | 0.408122i | ||||
\(151\) | −16.9581 | −1.38003 | −0.690015 | − | 0.723795i | \(-0.742396\pi\) | ||||
−0.690015 | + | 0.723795i | \(0.742396\pi\) | |||||||
\(152\) | 5.17386 | − | 1.68109i | 0.419656 | − | 0.136354i | ||||
\(153\) | −3.98877 | − | 5.49007i | −0.322473 | − | 0.443846i | ||||
\(154\) | 1.34100 | − | 0.974296i | 0.108061 | − | 0.0785110i | ||||
\(155\) | −1.30594 | − | 2.64372i | −0.104896 | − | 0.212349i | ||||
\(156\) | 0.390069 | + | 0.283402i | 0.0312305 | + | 0.0226903i | ||||
\(157\) | 22.8284i | 1.82190i | 0.412513 | + | 0.910952i | \(0.364651\pi\) | ||||
−0.412513 | + | 0.910952i | \(0.635349\pi\) | |||||||
\(158\) | 4.98742 | − | 6.86459i | 0.396778 | − | 0.546118i | ||||
\(159\) | 0.520975 | − | 1.60340i | 0.0413160 | − | 0.127158i | ||||
\(160\) | 1.03982 | − | 1.97959i | 0.0822050 | − | 0.156500i | ||||
\(161\) | −0.661521 | − | 2.03595i | −0.0521352 | − | 0.160456i | ||||
\(162\) | −0.951057 | − | 0.309017i | −0.0747221 | − | 0.0242787i | ||||
\(163\) | 7.56873 | + | 2.45923i | 0.592829 | + | 0.192622i | 0.590039 | − | 0.807374i | \(-0.299112\pi\) |
0.00278919 | + | 0.999996i | \(0.499112\pi\) | |||||||
\(164\) | −3.86905 | − | 11.9077i | −0.302122 | − | 0.929837i | ||||
\(165\) | −10.0910 | + | 4.98472i | −0.785581 | + | 0.388060i | ||||
\(166\) | 5.31370 | − | 16.3539i | 0.412423 | − | 1.26931i | ||||
\(167\) | −8.19979 | + | 11.2860i | −0.634519 | + | 0.873340i | −0.998308 | − | 0.0581411i | \(-0.981483\pi\) |
0.363790 | + | 0.931481i | \(0.381483\pi\) | |||||||
\(168\) | − | 0.329315i | − | 0.0254072i | ||||||
\(169\) | −10.3291 | − | 7.50457i | −0.794550 | − | 0.577274i | ||||
\(170\) | −10.8622 | + | 10.5957i | −0.833092 | + | 0.812651i | ||||
\(171\) | −4.40115 | + | 3.19762i | −0.336564 | + | 0.244528i | ||||
\(172\) | −1.45525 | − | 2.00298i | −0.110962 | − | 0.152726i | ||||
\(173\) | 18.5464 | − | 6.02610i | 1.41006 | − | 0.458156i | 0.497629 | − | 0.867390i | \(-0.334204\pi\) |
0.912430 | + | 0.409234i | \(0.134204\pi\) | |||||||
\(174\) | 6.02216 | 0.456539 | ||||||||
\(175\) | −1.35573 | + | 0.934448i | −0.102484 | + | 0.0706376i | ||||
\(176\) | −5.03339 | −0.379406 | ||||||||
\(177\) | 0.966113 | − | 0.313909i | 0.0726175 | − | 0.0235949i | ||||
\(178\) | −2.02923 | − | 2.79299i | −0.152097 | − | 0.209344i | ||||
\(179\) | −15.3641 | + | 11.1627i | −1.14837 | + | 0.834338i | −0.988263 | − | 0.152761i | \(-0.951183\pi\) |
−0.160105 | + | 0.987100i | \(0.551183\pi\) | |||||||
\(180\) | −0.377200 | + | 2.20402i | −0.0281149 | + | 0.164278i | ||||
\(181\) | 15.3296 | + | 11.1376i | 1.13944 | + | 0.827850i | 0.987041 | − | 0.160470i | \(-0.0513008\pi\) |
0.152397 | + | 0.988319i | \(0.451301\pi\) | |||||||
\(182\) | − | 0.158780i | − | 0.0117695i | ||||||
\(183\) | 2.46169 | − | 3.38823i | 0.181973 | − | 0.250465i | ||||
\(184\) | −2.00878 | + | 6.18239i | −0.148089 | + | 0.455772i | ||||
\(185\) | −1.21809 | − | 1.24873i | −0.0895559 | − | 0.0918086i | ||||
\(186\) | 0.407499 | + | 1.25415i | 0.0298793 | + | 0.0919589i | ||||
\(187\) | 32.4853 | + | 10.5551i | 2.37556 | + | 0.771867i | ||||
\(188\) | −4.16600 | − | 1.35362i | −0.303837 | − | 0.0987226i | ||||
\(189\) | 0.101764 | + | 0.313197i | 0.00740223 | + | 0.0227817i | ||||
\(190\) | 8.49410 | + | 8.70775i | 0.616227 | + | 0.631727i | ||||
\(191\) | −3.73703 | + | 11.5014i | −0.270402 | + | 0.832212i | 0.719997 | + | 0.693977i | \(0.244143\pi\) |
−0.990399 | + | 0.138235i | \(0.955857\pi\) | |||||||
\(192\) | −0.587785 | + | 0.809017i | −0.0424197 | + | 0.0583858i | ||||
\(193\) | − | 11.0357i | − | 0.794368i | −0.917739 | − | 0.397184i | \(-0.869987\pi\) | ||
0.917739 | − | 0.397184i | \(-0.130013\pi\) | |||||||
\(194\) | −7.69378 | − | 5.58986i | −0.552381 | − | 0.401329i | ||||
\(195\) | −0.181868 | + | 1.06267i | −0.0130238 | + | 0.0760997i | ||||
\(196\) | 5.57538 | − | 4.05075i | 0.398242 | − | 0.289339i | ||||
\(197\) | −12.1208 | − | 16.6829i | −0.863573 | − | 1.18861i | −0.980706 | − | 0.195490i | \(-0.937370\pi\) |
0.117133 | − | 0.993116i | \(-0.462630\pi\) | |||||||
\(198\) | 4.78704 | − | 1.55540i | 0.340200 | − | 0.110538i | ||||
\(199\) | −18.5313 | −1.31365 | −0.656826 | − | 0.754042i | \(-0.728101\pi\) | ||||
−0.656826 | + | 0.754042i | \(0.728101\pi\) | |||||||
\(200\) | 4.99846 | + | 0.124187i | 0.353444 | + | 0.00878136i | ||||
\(201\) | 3.14433 | 0.221784 | ||||||||
\(202\) | 18.3017 | − | 5.94657i | 1.28770 | − | 0.418399i | ||||
\(203\) | −1.16569 | − | 1.60443i | −0.0818153 | − | 0.112609i | ||||
\(204\) | 5.49007 | − | 3.98877i | 0.384382 | − | 0.279270i | ||||
\(205\) | 20.0410 | − | 19.5493i | 1.39973 | − | 1.36538i | ||||
\(206\) | −4.13156 | − | 3.00175i | −0.287859 | − | 0.209142i | ||||
\(207\) | − | 6.50055i | − | 0.451819i | ||||||
\(208\) | −0.283402 | + | 0.390069i | −0.0196504 | + | 0.0270464i | ||||
\(209\) | 8.46159 | − | 26.0421i | 0.585300 | − | 1.80137i | ||||
\(210\) | 0.660212 | − | 0.326131i | 0.0455590 | − | 0.0225052i | ||||
\(211\) | 4.87129 | + | 14.9923i | 0.335353 | + | 1.03211i | 0.966548 | + | 0.256487i | \(0.0825650\pi\) |
−0.631194 | + | 0.775625i | \(0.717435\pi\) | |||||||
\(212\) | 1.60340 | + | 0.520975i | 0.110122 | + | 0.0357807i | ||||
\(213\) | 5.43233 | + | 1.76507i | 0.372217 | + | 0.120941i | ||||
\(214\) | 4.73845 | + | 14.5835i | 0.323914 | + | 0.996904i | ||||
\(215\) | 2.57440 | − | 4.90110i | 0.175573 | − | 0.334253i | ||||
\(216\) | 0.309017 | − | 0.951057i | 0.0210259 | − | 0.0647112i | ||||
\(217\) | 0.255255 | − | 0.351328i | 0.0173278 | − | 0.0238497i | ||||
\(218\) | − | 9.76027i | − | 0.661049i | ||||||
\(219\) | 2.38068 | + | 1.72967i | 0.160872 | + | 0.116880i | ||||
\(220\) | −4.98472 | − | 10.0910i | −0.336070 | − | 0.680333i | ||||
\(221\) | 2.64705 | − | 1.92319i | 0.178060 | − | 0.129368i | ||||
\(222\) | 0.458554 | + | 0.631145i | 0.0307761 | + | 0.0423597i | ||||
\(223\) | 21.0928 | − | 6.85345i | 1.41248 | − | 0.458941i | 0.499272 | − | 0.866445i | \(-0.333601\pi\) |
0.913203 | + | 0.407504i | \(0.133601\pi\) | |||||||
\(224\) | 0.329315 | 0.0220033 | ||||||||
\(225\) | −4.79219 | + | 1.42650i | −0.319479 | + | 0.0951000i | ||||
\(226\) | 1.51566 | 0.100820 | ||||||||
\(227\) | 10.5538 | − | 3.42913i | 0.700480 | − | 0.227600i | 0.0629401 | − | 0.998017i | \(-0.479952\pi\) |
0.637539 | + | 0.770418i | \(0.279952\pi\) | |||||||
\(228\) | −3.19762 | − | 4.40115i | −0.211768 | − | 0.291473i | ||||
\(229\) | 1.45525 | − | 1.05730i | 0.0961658 | − | 0.0698685i | −0.538663 | − | 0.842521i | \(-0.681071\pi\) |
0.634829 | + | 0.772653i | \(0.281071\pi\) | |||||||
\(230\) | −14.3838 | + | 2.09540i | −0.948443 | + | 0.138167i | ||||
\(231\) | −1.34100 | − | 0.974296i | −0.0882315 | − | 0.0641040i | ||||
\(232\) | 6.02216i | 0.395374i | ||||||||
\(233\) | 2.17821 | − | 2.99805i | 0.142699 | − | 0.196409i | −0.731685 | − | 0.681643i | \(-0.761266\pi\) |
0.874384 | + | 0.485234i | \(0.161266\pi\) | |||||||
\(234\) | 0.148993 | − | 0.458554i | 0.00973999 | − | 0.0299766i | ||||
\(235\) | −1.41198 | − | 9.69255i | −0.0921077 | − | 0.632273i | ||||
\(236\) | 0.313909 | + | 0.966113i | 0.0204338 | + | 0.0628886i | ||||
\(237\) | −8.06981 | − | 2.62204i | −0.524191 | − | 0.170320i | ||||
\(238\) | −2.12539 | − | 0.690580i | −0.137768 | − | 0.0447636i | ||||
\(239\) | 5.21415 | + | 16.0475i | 0.337275 | + | 1.03803i | 0.965590 | + | 0.260068i | \(0.0837449\pi\) |
−0.628315 | + | 0.777959i | \(0.716255\pi\) | |||||||
\(240\) | −2.20402 | − | 0.377200i | −0.142269 | − | 0.0243482i | ||||
\(241\) | 6.37366 | − | 19.6161i | 0.410564 | − | 1.26359i | −0.505595 | − | 0.862771i | \(-0.668727\pi\) |
0.916159 | − | 0.400815i | \(-0.131273\pi\) | |||||||
\(242\) | −8.42593 | + | 11.5973i | −0.541639 | + | 0.745502i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 3.38823 | + | 2.46169i | 0.216909 | + | 0.157594i | ||||
\(245\) | 13.6424 | + | 7.16597i | 0.871584 | + | 0.457817i | ||||
\(246\) | −10.1293 | + | 7.35938i | −0.645822 | + | 0.469217i | ||||
\(247\) | −1.54174 | − | 2.12202i | −0.0980986 | − | 0.135021i | ||||
\(248\) | −1.25415 | + | 0.407499i | −0.0796387 | + | 0.0258762i | ||||
\(249\) | −17.1955 | −1.08972 | ||||||||
\(250\) | 4.70116 | + | 10.1439i | 0.297327 | + | 0.641558i | ||||
\(251\) | 8.69615 | 0.548896 | 0.274448 | − | 0.961602i | \(-0.411505\pi\) | ||||
0.274448 | + | 0.961602i | \(0.411505\pi\) | |||||||
\(252\) | −0.313197 | + | 0.101764i | −0.0197296 | + | 0.00641052i | ||||
\(253\) | 19.2322 | + | 26.4709i | 1.20912 | + | 1.66421i | ||||
\(254\) | 10.1981 | − | 7.40938i | 0.639888 | − | 0.464906i | ||||
\(255\) | 13.4337 | + | 7.05632i | 0.841250 | + | 0.441884i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | − | 7.10714i | − | 0.443331i | −0.975123 | − | 0.221666i | \(-0.928851\pi\) | ||
0.975123 | − | 0.221666i | \(-0.0711493\pi\) | |||||||
\(258\) | −1.45525 | + | 2.00298i | −0.0905999 | + | 0.124700i | ||||
\(259\) | 0.0793900 | − | 0.244337i | 0.00493305 | − | 0.0151824i | ||||
\(260\) | −1.06267 | − | 0.181868i | −0.0659043 | − | 0.0112790i | ||||
\(261\) | −1.86095 | − | 5.72742i | −0.115190 | − | 0.354518i | ||||
\(262\) | −13.3680 | − | 4.34352i | −0.825877 | − | 0.268344i | ||||
\(263\) | −15.0847 | − | 4.90130i | −0.930160 | − | 0.302227i | −0.195532 | − | 0.980697i | \(-0.562643\pi\) |
−0.734628 | + | 0.678470i | \(0.762643\pi\) | |||||||
\(264\) | 1.55540 | + | 4.78704i | 0.0957285 | + | 0.294622i | ||||
\(265\) | 0.543439 | + | 3.73044i | 0.0333832 | + | 0.229159i | ||||
\(266\) | −0.553608 | + | 1.70383i | −0.0339439 | + | 0.104469i | ||||
\(267\) | −2.02923 | + | 2.79299i | −0.124187 | + | 0.170928i | ||||
\(268\) | 3.14433i | 0.192070i | ||||||||
\(269\) | 3.65623 | + | 2.65641i | 0.222925 | + | 0.161964i | 0.693642 | − | 0.720320i | \(-0.256005\pi\) |
−0.470718 | + | 0.882284i | \(0.656005\pi\) | |||||||
\(270\) | 2.21271 | − | 0.322342i | 0.134661 | − | 0.0196171i | ||||
\(271\) | −9.00551 | + | 6.54289i | −0.547046 | + | 0.397452i | −0.826695 | − | 0.562650i | \(-0.809782\pi\) |
0.279649 | + | 0.960102i | \(0.409782\pi\) | |||||||
\(272\) | 3.98877 | + | 5.49007i | 0.241855 | + | 0.332884i | ||||
\(273\) | −0.151009 | + | 0.0490657i | −0.00913946 | + | 0.00296959i | ||||
\(274\) | 6.68863 | 0.404075 | ||||||||
\(275\) | 15.2939 | − | 19.9868i | 0.922257 | − | 1.20525i | ||||
\(276\) | 6.50055 | 0.391287 | ||||||||
\(277\) | −21.7162 | + | 7.05603i | −1.30480 | + | 0.423956i | −0.877249 | − | 0.480035i | \(-0.840624\pi\) |
−0.427552 | + | 0.903991i | \(0.640624\pi\) | |||||||
\(278\) | 1.80920 | + | 2.49014i | 0.108508 | + | 0.149349i | ||||
\(279\) | 1.06685 | − | 0.775108i | 0.0638704 | − | 0.0464045i | ||||
\(280\) | 0.326131 | + | 0.660212i | 0.0194900 | + | 0.0394552i | ||||
\(281\) | −23.2631 | − | 16.9016i | −1.38776 | − | 1.00827i | −0.996107 | − | 0.0881540i | \(-0.971903\pi\) |
−0.391653 | − | 0.920113i | \(-0.628097\pi\) | |||||||
\(282\) | 4.38040i | 0.260849i | ||||||||
\(283\) | −11.3720 | + | 15.6522i | −0.675992 | + | 0.930424i | −0.999877 | − | 0.0156727i | \(-0.995011\pi\) |
0.323885 | + | 0.946097i | \(0.395011\pi\) | |||||||
\(284\) | −1.76507 | + | 5.43233i | −0.104738 | + | 0.322349i | ||||
\(285\) | 5.65675 | − | 10.7692i | 0.335077 | − | 0.637913i | ||||
\(286\) | 0.749941 | + | 2.30808i | 0.0443450 | + | 0.136480i | ||||
\(287\) | 3.92139 | + | 1.27414i | 0.231472 | + | 0.0752100i | ||||
\(288\) | 0.951057 | + | 0.309017i | 0.0560415 | + | 0.0182090i | ||||
\(289\) | −8.97729 | − | 27.6292i | −0.528076 | − | 1.62525i | ||||
\(290\) | −12.0733 | + | 5.96394i | −0.708967 | + | 0.350214i | ||||
\(291\) | −2.93876 | + | 9.04458i | −0.172273 | + | 0.530203i | ||||
\(292\) | −1.72967 | + | 2.38068i | −0.101221 | + | 0.139319i | ||||
\(293\) | 15.0301i | 0.878069i | 0.898470 | + | 0.439035i | \(0.144679\pi\) | ||||
−0.898470 | + | 0.439035i | \(0.855321\pi\) | |||||||
\(294\) | −5.57538 | − | 4.05075i | −0.325163 | − | 0.236245i | ||||
\(295\) | −1.62600 | + | 1.58610i | −0.0946691 | + | 0.0923463i | ||||
\(296\) | −0.631145 | + | 0.458554i | −0.0366846 | + | 0.0266529i | ||||
\(297\) | −2.95855 | − | 4.07210i | −0.171673 | − | 0.236287i | ||||
\(298\) | −4.81677 | + | 1.56506i | −0.279028 | + | 0.0906617i | ||||
\(299\) | 3.13425 | 0.181259 | ||||||||
\(300\) | −1.42650 | − | 4.79219i | −0.0823590 | − | 0.276677i | ||||
\(301\) | 0.815324 | 0.0469945 | ||||||||
\(302\) | −16.1281 | + | 5.24034i | −0.928069 | + | 0.301548i | ||||
\(303\) | −11.3110 | − | 15.5683i | −0.649803 | − | 0.894377i | ||||
\(304\) | 4.40115 | − | 3.19762i | 0.252423 | − | 0.183396i | ||||
\(305\) | −1.57975 | + | 9.23063i | −0.0904560 | + | 0.528544i | ||||
\(306\) | −5.49007 | − | 3.98877i | −0.313846 | − | 0.228023i | ||||
\(307\) | − | 19.7061i | − | 1.12468i | −0.826905 | − | 0.562342i | \(-0.809900\pi\) | ||
0.826905 | − | 0.562342i | \(-0.190100\pi\) | |||||||
\(308\) | 0.974296 | − | 1.34100i | 0.0555157 | − | 0.0764108i | ||||
\(309\) | −1.57811 | + | 4.85694i | −0.0897758 | + | 0.276302i | ||||
\(310\) | −2.05898 | − | 2.11077i | −0.116942 | − | 0.119884i | ||||
\(311\) | 8.72642 | + | 26.8572i | 0.494830 | + | 1.52293i | 0.817222 | + | 0.576323i | \(0.195513\pi\) |
−0.322392 | + | 0.946606i | \(0.604487\pi\) | |||||||
\(312\) | 0.458554 | + | 0.148993i | 0.0259605 | + | 0.00843508i | ||||
\(313\) | −10.6973 | − | 3.47577i | −0.604648 | − | 0.196462i | −0.00933550 | − | 0.999956i | \(-0.502972\pi\) |
−0.595312 | + | 0.803494i | \(0.702972\pi\) | |||||||
\(314\) | 7.05436 | + | 21.7111i | 0.398101 | + | 1.22523i | ||||
\(315\) | −0.514186 | − | 0.527119i | −0.0289711 | − | 0.0296998i | ||||
\(316\) | 2.62204 | − | 8.06981i | 0.147501 | − | 0.453962i | ||||
\(317\) | 13.6905 | − | 18.8433i | 0.768935 | − | 1.05835i | −0.227483 | − | 0.973782i | \(-0.573050\pi\) |
0.996418 | − | 0.0845658i | \(-0.0269503\pi\) | |||||||
\(318\) | − | 1.68591i | − | 0.0945412i | ||||||
\(319\) | 24.5229 | + | 17.8169i | 1.37302 | + | 0.997555i | ||||
\(320\) | 0.377200 | − | 2.20402i | 0.0210861 | − | 0.123209i | ||||
\(321\) | 12.4054 | − | 9.01307i | 0.692403 | − | 0.503060i | ||||
\(322\) | −1.25829 | − | 1.73189i | −0.0701217 | − | 0.0965142i | ||||
\(323\) | −35.1103 | + | 11.4080i | −1.95359 | + | 0.634760i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −0.687790 | − | 2.31057i | −0.0381517 | − | 0.128167i | ||||
\(326\) | 7.95823 | 0.440766 | ||||||||
\(327\) | −9.28257 | + | 3.01609i | −0.513327 | + | 0.166790i | ||||
\(328\) | −7.35938 | − | 10.1293i | −0.406354 | − | 0.559298i | ||||
\(329\) | 1.16703 | − | 0.847898i | 0.0643405 | − | 0.0467461i | ||||
\(330\) | −8.05672 | + | 7.85904i | −0.443508 | + | 0.432626i | ||||
\(331\) | −0.104633 | − | 0.0760205i | −0.00575116 | − | 0.00417847i | 0.584906 | − | 0.811101i | \(-0.301131\pi\) |
−0.590657 | + | 0.806923i | \(0.701131\pi\) | |||||||
\(332\) | − | 17.1955i | − | 0.943725i | ||||||
\(333\) | 0.458554 | − | 0.631145i | 0.0251286 | − | 0.0345866i | ||||
\(334\) | −4.31088 | + | 13.2675i | −0.235881 | + | 0.725967i | ||||
\(335\) | −6.30376 | + | 3.11392i | −0.344411 | + | 0.170132i | ||||
\(336\) | −0.101764 | − | 0.313197i | −0.00555168 | − | 0.0170863i | ||||
\(337\) | −0.511734 | − | 0.166272i | −0.0278759 | − | 0.00905743i | 0.295046 | − | 0.955483i | \(-0.404665\pi\) |
−0.322922 | + | 0.946426i | \(0.604665\pi\) | |||||||
\(338\) | −12.1426 | − | 3.94538i | −0.660473 | − | 0.214601i | ||||
\(339\) | −0.468364 | − | 1.44148i | −0.0254380 | − | 0.0782902i | ||||
\(340\) | −7.05632 | + | 13.4337i | −0.382683 | + | 0.728544i | ||||
\(341\) | −2.05110 | + | 6.31264i | −0.111073 | + | 0.341849i | ||||
\(342\) | −3.19762 | + | 4.40115i | −0.172908 | + | 0.237987i | ||||
\(343\) | 4.57470i | 0.247010i | ||||||||
\(344\) | −2.00298 | − | 1.45525i | −0.107993 | − | 0.0784618i | ||||
\(345\) | 6.43770 | + | 13.0323i | 0.346594 | + | 0.701637i | ||||
\(346\) | 15.7765 | − | 11.4623i | 0.848152 | − | 0.616218i | ||||
\(347\) | −13.3519 | − | 18.3773i | −0.716767 | − | 0.986546i | −0.999625 | − | 0.0273838i | \(-0.991282\pi\) |
0.282858 | − | 0.959162i | \(-0.408718\pi\) | |||||||
\(348\) | 5.72742 | − | 1.86095i | 0.307022 | − | 0.0997575i | ||||
\(349\) | −6.84350 | −0.366324 | −0.183162 | − | 0.983083i | \(-0.558633\pi\) | ||||
−0.183162 | + | 0.983083i | \(0.558633\pi\) | |||||||
\(350\) | −1.00062 | + | 1.30766i | −0.0534854 | + | 0.0698972i | ||||
\(351\) | −0.482152 | −0.0257354 | ||||||||
\(352\) | −4.78704 | + | 1.55540i | −0.255150 | + | 0.0829033i | ||||
\(353\) | 9.86237 | + | 13.5744i | 0.524921 | + | 0.722492i | 0.986346 | − | 0.164688i | \(-0.0526616\pi\) |
−0.461425 | + | 0.887179i | \(0.652662\pi\) | |||||||
\(354\) | 0.821825 | − | 0.597091i | 0.0436795 | − | 0.0317350i | ||||
\(355\) | −12.6388 | + | 1.84118i | −0.670796 | + | 0.0977197i | ||||
\(356\) | −2.79299 | − | 2.02923i | −0.148028 | − | 0.107549i | ||||
\(357\) | 2.23476i | 0.118276i | ||||||||
\(358\) | −11.1627 | + | 15.3641i | −0.589966 | + | 0.812019i | ||||
\(359\) | 2.30639 | − | 7.09834i | 0.121727 | − | 0.374636i | −0.871564 | − | 0.490282i | \(-0.836894\pi\) |
0.993291 | + | 0.115646i | \(0.0368937\pi\) | |||||||
\(360\) | 0.322342 | + | 2.21271i | 0.0169889 | + | 0.116620i | ||||
\(361\) | 3.27401 | + | 10.0764i | 0.172317 | + | 0.530336i | ||||
\(362\) | 18.0210 | + | 5.85537i | 0.947162 | + | 0.307752i | ||||
\(363\) | 13.6334 | + | 4.42977i | 0.715570 | + | 0.232503i | ||||
\(364\) | −0.0490657 | − | 0.151009i | −0.00257174 | − | 0.00791500i | ||||
\(365\) | −6.48575 | − | 1.10998i | −0.339480 | − | 0.0580991i | ||||
\(366\) | 1.29419 | − | 3.98310i | 0.0676483 | − | 0.208200i | ||||
\(367\) | −3.61766 | + | 4.97929i | −0.188841 | + | 0.259917i | −0.892931 | − | 0.450194i | \(-0.851355\pi\) |
0.704090 | + | 0.710110i | \(0.251355\pi\) | |||||||
\(368\) | 6.50055i | 0.338865i | ||||||||
\(369\) | 10.1293 | + | 7.35938i | 0.527311 | + | 0.383114i | ||||
\(370\) | −1.54435 | − | 0.811203i | −0.0802872 | − | 0.0421725i | ||||
\(371\) | −0.449163 | + | 0.326336i | −0.0233194 | + | 0.0169425i | ||||
\(372\) | 0.775108 | + | 1.06685i | 0.0401875 | + | 0.0553134i | ||||
\(373\) | 8.72051 | − | 2.83346i | 0.451531 | − | 0.146711i | −0.0744187 | − | 0.997227i | \(-0.523710\pi\) |
0.525949 | + | 0.850516i | \(0.323710\pi\) | |||||||
\(374\) | 34.1571 | 1.76622 | ||||||||
\(375\) | 8.19470 | − | 7.60571i | 0.423173 | − | 0.392757i | ||||
\(376\) | −4.38040 | −0.225902 | ||||||||
\(377\) | 2.76149 | − | 0.897262i | 0.142224 | − | 0.0462113i | ||||
\(378\) | 0.193566 | + | 0.266421i | 0.00995598 | + | 0.0137032i | ||||
\(379\) | −28.0179 | + | 20.3562i | −1.43918 | + | 1.04563i | −0.450972 | + | 0.892538i | \(0.648923\pi\) |
−0.988212 | + | 0.153090i | \(0.951077\pi\) | |||||||
\(380\) | 10.7692 | + | 5.65675i | 0.552449 | + | 0.290185i | ||||
\(381\) | −10.1981 | − | 7.40938i | −0.522466 | − | 0.379594i | ||||
\(382\) | 12.0933i | 0.618746i | ||||||||
\(383\) | −5.59597 | + | 7.70220i | −0.285941 | + | 0.393564i | −0.927690 | − | 0.373350i | \(-0.878209\pi\) |
0.641749 | + | 0.766914i | \(0.278209\pi\) | |||||||
\(384\) | −0.309017 | + | 0.951057i | −0.0157695 | + | 0.0485334i | ||||
\(385\) | 3.65333 | + | 0.625237i | 0.186191 | + | 0.0318650i | ||||
\(386\) | −3.41022 | − | 10.4956i | −0.173576 | − | 0.534211i | ||||
\(387\) | 2.35464 | + | 0.765070i | 0.119693 | + | 0.0388907i | ||||
\(388\) | −9.04458 | − | 2.93876i | −0.459169 | − | 0.149193i | ||||
\(389\) | 5.39091 | + | 16.5915i | 0.273330 | + | 0.841224i | 0.989656 | + | 0.143458i | \(0.0458223\pi\) |
−0.716326 | + | 0.697766i | \(0.754178\pi\) | |||||||
\(390\) | 0.155418 | + | 1.06686i | 0.00786989 | + | 0.0540228i | ||||
\(391\) | 13.6318 | − | 41.9543i | 0.689389 | − | 2.12172i | ||||
\(392\) | 4.05075 | − | 5.57538i | 0.204594 | − | 0.281599i | ||||
\(393\) | 14.0559i | 0.709028i | ||||||||
\(394\) | −16.6829 | − | 12.1208i | −0.840471 | − | 0.610638i | ||||
\(395\) | 18.7751 | − | 2.73510i | 0.944677 | − | 0.137618i | ||||
\(396\) | 4.07210 | − | 2.95855i | 0.204631 | − | 0.148673i | ||||
\(397\) | −7.96751 | − | 10.9663i | −0.399878 | − | 0.550385i | 0.560835 | − | 0.827927i | \(-0.310480\pi\) |
−0.960713 | + | 0.277542i | \(0.910480\pi\) | |||||||
\(398\) | −17.6244 | + | 5.72650i | −0.883429 | + | 0.287044i | ||||
\(399\) | 1.79151 | 0.0896879 | ||||||||
\(400\) | 4.79219 | − | 1.42650i | 0.239610 | − | 0.0713250i | ||||
\(401\) | 14.1105 | 0.704642 | 0.352321 | − | 0.935879i | \(-0.385392\pi\) | ||||
0.352321 | + | 0.935879i | \(0.385392\pi\) | |||||||
\(402\) | 2.99043 | − | 0.971651i | 0.149149 | − | 0.0484615i | ||||
\(403\) | 0.373720 | + | 0.514382i | 0.0186163 | + | 0.0256232i | ||||
\(404\) | 15.5683 | − | 11.3110i | 0.774553 | − | 0.562746i | ||||
\(405\) | −0.990331 | − | 2.00481i | −0.0492099 | − | 0.0996196i | ||||
\(406\) | −1.60443 | − | 1.16569i | −0.0796267 | − | 0.0578522i | ||||
\(407\) | 3.92674i | 0.194641i | ||||||||
\(408\) | 3.98877 | − | 5.49007i | 0.197473 | − | 0.271799i | ||||
\(409\) | 5.11848 | − | 15.7531i | 0.253092 | − | 0.778938i | −0.741107 | − | 0.671387i | \(-0.765699\pi\) |
0.994200 | − | 0.107552i | \(-0.0343011\pi\) | |||||||
\(410\) | 13.0191 | − | 24.7855i | 0.642967 | − | 1.22407i | ||||
\(411\) | −2.06690 | − | 6.36127i | −0.101953 | − | 0.313778i | ||||
\(412\) | −4.85694 | − | 1.57811i | −0.239284 | − | 0.0777481i | ||||
\(413\) | −0.318156 | − | 0.103375i | −0.0156554 | − | 0.00508675i | ||||
\(414\) | −2.00878 | − | 6.18239i | −0.0987262 | − | 0.303848i | ||||
\(415\) | 34.4736 | − | 17.0292i | 1.69224 | − | 0.835932i | ||||
\(416\) | −0.148993 | + | 0.458554i | −0.00730499 | + | 0.0224825i | ||||
\(417\) | 1.80920 | − | 2.49014i | 0.0885967 | − | 0.121943i | ||||
\(418\) | − | 27.3823i | − | 1.33931i | ||||||
\(419\) | 13.7294 | + | 9.97500i | 0.670725 | + | 0.487310i | 0.870268 | − | 0.492579i | \(-0.163946\pi\) |
−0.199543 | + | 0.979889i | \(0.563946\pi\) | |||||||
\(420\) | 0.527119 | − | 0.514186i | 0.0257208 | − | 0.0250897i | ||||
\(421\) | 5.71360 | − | 4.15118i | 0.278464 | − | 0.202316i | −0.439783 | − | 0.898104i | \(-0.644945\pi\) |
0.718247 | + | 0.695788i | \(0.244945\pi\) | |||||||
\(422\) | 9.26574 | + | 12.7532i | 0.451049 | + | 0.620816i | ||||
\(423\) | 4.16600 | − | 1.35362i | 0.202558 | − | 0.0658151i | ||||
\(424\) | 1.68591 | 0.0818751 | ||||||||
\(425\) | −33.9200 | − | 0.842746i | −1.64536 | − | 0.0408792i | ||||
\(426\) | 5.71189 | 0.276742 | ||||||||
\(427\) | −1.31169 | + | 0.426195i | −0.0634773 | + | 0.0206250i | ||||
\(428\) | 9.01307 | + | 12.4054i | 0.435663 | + | 0.599639i | ||||
\(429\) | 1.96337 | − | 1.42647i | 0.0947925 | − | 0.0688708i | ||||
\(430\) | 0.933880 | − | 5.45676i | 0.0450357 | − | 0.263148i | ||||
\(431\) | 14.4476 | + | 10.4968i | 0.695915 | + | 0.505612i | 0.878599 | − | 0.477560i | \(-0.158479\pi\) |
−0.182684 | + | 0.983172i | \(0.558479\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | −14.2125 | + | 19.5618i | −0.683007 | + | 0.940078i | −0.999965 | − | 0.00836116i | \(-0.997339\pi\) |
0.316958 | + | 0.948440i | \(0.397339\pi\) | |||||||
\(434\) | 0.134195 | − | 0.413011i | 0.00644158 | − | 0.0198252i | ||||
\(435\) | 9.40289 | + | 9.63940i | 0.450834 | + | 0.462174i | ||||
\(436\) | −3.01609 | − | 9.28257i | −0.144445 | − | 0.444555i | ||||
\(437\) | −33.6330 | − | 10.9280i | −1.60888 | − | 0.522758i | ||||
\(438\) | 2.79866 | + | 0.909340i | 0.133725 | + | 0.0434499i | ||||
\(439\) | 5.84359 | + | 17.9847i | 0.278899 | + | 0.858364i | 0.988161 | + | 0.153419i | \(0.0490284\pi\) |
−0.709262 | + | 0.704945i | \(0.750972\pi\) | |||||||
\(440\) | −7.85904 | − | 8.05672i | −0.374665 | − | 0.384089i | ||||
\(441\) | −2.12961 | + | 6.55426i | −0.101410 | + | 0.312107i | ||||
\(442\) | 1.92319 | − | 2.64705i | 0.0914770 | − | 0.125907i | ||||
\(443\) | 4.05769i | 0.192787i | 0.995343 | + | 0.0963933i | \(0.0307307\pi\) | ||||
−0.995343 | + | 0.0963933i | \(0.969269\pi\) | |||||||
\(444\) | 0.631145 | + | 0.458554i | 0.0299528 | + | 0.0217620i | ||||
\(445\) | 1.30222 | − | 7.60902i | 0.0617312 | − | 0.360702i | ||||
\(446\) | 17.9426 | − | 13.0360i | 0.849605 | − | 0.617274i | ||||
\(447\) | 2.97693 | + | 4.09739i | 0.140804 | + | 0.193800i | ||||
\(448\) | 0.313197 | − | 0.101764i | 0.0147972 | − | 0.00480789i | ||||
\(449\) | 6.26150 | 0.295498 | 0.147749 | − | 0.989025i | \(-0.452797\pi\) | ||||
0.147749 | + | 0.989025i | \(0.452797\pi\) | |||||||
\(450\) | −4.11683 | + | 2.83755i | −0.194069 | + | 0.133763i | ||||
\(451\) | −63.0207 | −2.96753 | ||||||||
\(452\) | 1.44148 | − | 0.468364i | 0.0678013 | − | 0.0220300i | ||||
\(453\) | 9.96772 | + | 13.7194i | 0.468325 | + | 0.644593i | ||||
\(454\) | 8.97759 | − | 6.52260i | 0.421339 | − | 0.306121i | ||||
\(455\) | 0.254152 | − | 0.247916i | 0.0119148 | − | 0.0116225i | ||||
\(456\) | −4.40115 | − | 3.19762i | −0.206103 | − | 0.149742i | ||||
\(457\) | − | 1.94229i | − | 0.0908564i | −0.998968 | − | 0.0454282i | \(-0.985535\pi\) | ||
0.998968 | − | 0.0454282i | \(-0.0144652\pi\) | |||||||
\(458\) | 1.05730 | − | 1.45525i | 0.0494045 | − | 0.0679995i | ||||
\(459\) | −2.09702 | + | 6.45396i | −0.0978805 | + | 0.301245i | ||||
\(460\) | −13.0323 | + | 6.43770i | −0.607636 | + | 0.300159i | ||||
\(461\) | 0.965342 | + | 2.97102i | 0.0449605 | + | 0.138374i | 0.971017 | − | 0.239011i | \(-0.0768233\pi\) |
−0.926056 | + | 0.377385i | \(0.876823\pi\) | |||||||
\(462\) | −1.57644 | − | 0.512218i | −0.0733428 | − | 0.0238305i | ||||
\(463\) | −7.86182 | − | 2.55446i | −0.365370 | − | 0.118716i | 0.120578 | − | 0.992704i | \(-0.461525\pi\) |
−0.485947 | + | 0.873988i | \(0.661525\pi\) | |||||||
\(464\) | 1.86095 | + | 5.72742i | 0.0863925 | + | 0.265889i | ||||
\(465\) | −1.37120 | + | 2.61047i | −0.0635880 | + | 0.121058i | ||||
\(466\) | 1.14515 | − | 3.52442i | 0.0530482 | − | 0.163265i | ||||
\(467\) | 17.9975 | − | 24.7715i | 0.832827 | − | 1.14629i | −0.154563 | − | 0.987983i | \(-0.549397\pi\) |
0.987390 | − | 0.158305i | \(-0.0506029\pi\) | |||||||
\(468\) | − | 0.482152i | − | 0.0222875i | ||||||
\(469\) | −0.837716 | − | 0.608636i | −0.0386821 | − | 0.0281042i | ||||
\(470\) | −4.33804 | − | 8.78184i | −0.200099 | − | 0.405076i | ||||
\(471\) | 18.4686 | − | 13.4182i | 0.850986 | − | 0.618278i | ||||
\(472\) | 0.597091 | + | 0.821825i | 0.0274833 | + | 0.0378276i | ||||
\(473\) | −11.8518 | + | 3.85090i | −0.544948 | + | 0.177064i | ||||
\(474\) | −8.48510 | −0.389734 | ||||||||
\(475\) | −0.675593 | + | 27.1922i | −0.0309983 | + | 1.24766i | ||||
\(476\) | −2.23476 | −0.102430 | ||||||||
\(477\) | −1.60340 | + | 0.520975i | −0.0734145 | + | 0.0238538i | ||||
\(478\) | 9.91790 | + | 13.6508i | 0.453634 | + | 0.624374i | ||||
\(479\) | −0.948887 | + | 0.689407i | −0.0433558 | + | 0.0314998i | −0.609252 | − | 0.792977i | \(-0.708530\pi\) |
0.565896 | + | 0.824476i | \(0.308530\pi\) | |||||||
\(480\) | −2.21271 | + | 0.322342i | −0.100996 | + | 0.0147128i | ||||
\(481\) | 0.304308 | + | 0.221093i | 0.0138753 | + | 0.0100810i | ||||
\(482\) | − | 20.6256i | − | 0.939471i | ||||||
\(483\) | −1.25829 | + | 1.73189i | −0.0572541 | + | 0.0788035i | ||||
\(484\) | −4.42977 | + | 13.6334i | −0.201353 | + | 0.619702i | ||||
\(485\) | −3.06548 | − | 21.0430i | −0.139196 | − | 0.955512i | ||||
\(486\) | 0.309017 | + | 0.951057i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | −11.1802 | − | 3.63267i | −0.506623 | − | 0.164612i | 0.0445428 | − | 0.999007i | \(-0.485817\pi\) |
−0.551166 | + | 0.834396i | \(0.685817\pi\) | |||||||
\(488\) | 3.98310 | + | 1.29419i | 0.180307 | + | 0.0585851i | ||||
\(489\) | −2.45923 | − | 7.56873i | −0.111210 | − | 0.342270i | ||||
\(490\) | 15.1891 | + | 2.59950i | 0.686176 | + | 0.117433i | ||||
\(491\) | 1.27640 | − | 3.92836i | 0.0576031 | − | 0.177284i | −0.918115 | − | 0.396314i | \(-0.870289\pi\) |
0.975718 | + | 0.219030i | \(0.0702892\pi\) | |||||||
\(492\) | −7.35938 | + | 10.1293i | −0.331786 | + | 0.456665i | ||||
\(493\) | − | 40.8670i | − | 1.84056i | ||||||
\(494\) | −2.12202 | − | 1.54174i | −0.0954744 | − | 0.0693662i | ||||
\(495\) | 9.96405 | + | 5.23382i | 0.447851 | + | 0.235243i | ||||
\(496\) | −1.06685 | + | 0.775108i | −0.0479028 | + | 0.0348034i | ||||
\(497\) | −1.10563 | − | 1.52177i | −0.0495943 | − | 0.0682606i | ||||
\(498\) | −16.3539 | + | 5.31370i | −0.732835 | + | 0.238113i | ||||
\(499\) | −9.59154 | −0.429376 | −0.214688 | − | 0.976683i | \(-0.568873\pi\) | ||||
−0.214688 | + | 0.976683i | \(0.568873\pi\) | |||||||
\(500\) | 7.60571 | + | 8.19470i | 0.340138 | + | 0.366478i | ||||
\(501\) | 13.9503 | 0.623254 | ||||||||
\(502\) | 8.27053 | − | 2.68726i | 0.369132 | − | 0.119938i | ||||
\(503\) | −9.96021 | − | 13.7091i | −0.444104 | − | 0.611257i | 0.527014 | − | 0.849857i | \(-0.323312\pi\) |
−0.971118 | + | 0.238600i | \(0.923312\pi\) | |||||||
\(504\) | −0.266421 | + | 0.193566i | −0.0118674 | + | 0.00862213i | ||||
\(505\) | 38.0942 | + | 20.0098i | 1.69517 | + | 0.890423i | ||||
\(506\) | 26.4709 | + | 19.2322i | 1.17677 | + | 0.854977i | ||||
\(507\) | 12.7675i | 0.567026i | ||||||||
\(508\) | 7.40938 | − | 10.1981i | 0.328738 | − | 0.452469i | ||||
\(509\) | −10.5993 | + | 32.6213i | −0.469805 | + | 1.44591i | 0.383032 | + | 0.923735i | \(0.374880\pi\) |
−0.852837 | + | 0.522177i | \(0.825120\pi\) | |||||||
\(510\) | 14.9567 | + | 2.55972i | 0.662295 | + | 0.113346i | ||||
\(511\) | −0.299459 | − | 0.921641i | −0.0132473 | − | 0.0407710i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | 5.17386 | + | 1.68109i | 0.228432 | + | 0.0742220i | ||||
\(514\) | −2.19623 | − | 6.75929i | −0.0968714 | − | 0.298140i | ||||
\(515\) | −1.64616 | − | 11.3001i | −0.0725386 | − | 0.497941i | ||||
\(516\) | −0.765070 | + | 2.35464i | −0.0336803 | + | 0.103657i | ||||
\(517\) | −12.9596 | + | 17.8374i | −0.569964 | + | 0.784488i | ||||
\(518\) | − | 0.256911i | − | 0.0112880i | ||||||
\(519\) | −15.7765 | − | 11.4623i | −0.692513 | − | 0.503140i | ||||
\(520\) | −1.06686 | + | 0.155418i | −0.0467851 | + | 0.00681552i | ||||
\(521\) | −17.2185 | + | 12.5100i | −0.754356 | + | 0.548072i | −0.897174 | − | 0.441677i | \(-0.854384\pi\) |
0.142818 | + | 0.989749i | \(0.454384\pi\) | |||||||
\(522\) | −3.53974 | − | 4.87203i | −0.154930 | − | 0.213243i | ||||
\(523\) | 39.3254 | − | 12.7776i | 1.71958 | − | 0.558726i | 0.727700 | − | 0.685896i | \(-0.240589\pi\) |
0.991881 | + | 0.127170i | \(0.0405893\pi\) | |||||||
\(524\) | −14.0559 | −0.614036 | ||||||||
\(525\) | 1.55286 | + | 0.547558i | 0.0677726 | + | 0.0238974i | ||||
\(526\) | −15.8609 | −0.691570 | ||||||||
\(527\) | 8.51080 | − | 2.76533i | 0.370736 | − | 0.120459i | ||||
\(528\) | 2.95855 | + | 4.07210i | 0.128755 | + | 0.177215i | ||||
\(529\) | 15.5794 | − | 11.3191i | 0.677364 | − | 0.492133i | ||||
\(530\) | 1.66961 | + | 3.37992i | 0.0725232 | + | 0.146814i | ||||
\(531\) | −0.821825 | − | 0.597091i | −0.0356642 | − | 0.0259115i | ||||
\(532\) | 1.79151i | 0.0776720i | ||||||||
\(533\) | −3.54834 | + | 4.88387i | −0.153696 | + | 0.211544i | ||||
\(534\) | −1.06683 | + | 3.28336i | −0.0461662 | + | 0.142085i | ||||
\(535\) | −15.9445 | + | 30.3549i | −0.689343 | + | 1.31236i | ||||
\(536\) | 0.971651 | + | 2.99043i | 0.0419689 | + | 0.129167i | ||||
\(537\) | 18.0616 | + | 5.86857i | 0.779416 | + | 0.253248i | ||||
\(538\) | 4.29816 | + | 1.39656i | 0.185307 | + | 0.0602099i | ||||
\(539\) | −10.7191 | − | 32.9901i | −0.461706 | − | 1.42099i | ||||
\(540\) | 2.00481 | − | 0.990331i | 0.0862731 | − | 0.0426171i | ||||
\(541\) | −11.0695 | + | 34.0685i | −0.475916 | + | 1.46472i | 0.368803 | + | 0.929507i | \(0.379768\pi\) |
−0.844719 | + | 0.535210i | \(0.820232\pi\) | |||||||
\(542\) | −6.54289 | + | 9.00551i | −0.281041 | + | 0.386820i | ||||
\(543\) | − | 18.9484i | − | 0.813153i | ||||||
\(544\) | 5.49007 | + | 3.98877i | 0.235385 | + | 0.171017i | ||||
\(545\) | 15.6228 | − | 15.2395i | 0.669208 | − | 0.652788i | ||||
\(546\) | −0.128456 | + | 0.0933285i | −0.00549739 | + | 0.00399409i | ||||
\(547\) | 4.91537 | + | 6.76543i | 0.210166 | + | 0.289269i | 0.901066 | − | 0.433681i | \(-0.142786\pi\) |
−0.690900 | + | 0.722950i | \(0.742786\pi\) | |||||||
\(548\) | 6.36127 | − | 2.06690i | 0.271740 | − | 0.0882936i | ||||
\(549\) | −4.18808 | −0.178743 | ||||||||
\(550\) | 8.36911 | − | 23.7347i | 0.356860 | − | 1.01205i | ||||
\(551\) | −32.7613 | −1.39568 | ||||||||
\(552\) | 6.18239 | − | 2.00878i | 0.263140 | − | 0.0854994i | ||||
\(553\) | 1.64243 | + | 2.26061i | 0.0698433 | + | 0.0961310i | ||||
\(554\) | −18.4729 | + | 13.4214i | −0.784840 | + | 0.570219i | ||||
\(555\) | −0.294269 | + | 1.71944i | −0.0124910 | + | 0.0729863i | ||||
\(556\) | 2.49014 | + | 1.80920i | 0.105606 | + | 0.0767270i | ||||
\(557\) | 28.1467i | 1.19262i | 0.802756 | + | 0.596308i | \(0.203366\pi\) | ||||
−0.802756 | + | 0.596308i | \(0.796634\pi\) | |||||||
\(558\) | 0.775108 | − | 1.06685i | 0.0328130 | − | 0.0451632i | ||||
\(559\) | −0.368880 | + | 1.13530i | −0.0156020 | + | 0.0480179i | ||||
\(560\) | 0.514186 | + | 0.527119i | 0.0217283 | + | 0.0222749i | ||||
\(561\) | −10.5551 | − | 32.4853i | −0.445638 | − | 1.37153i | ||||
\(562\) | −27.3474 | − | 8.88571i | −1.15358 | − | 0.374821i | ||||
\(563\) | −3.28183 | − | 1.06633i | −0.138313 | − | 0.0449406i | 0.239043 | − | 0.971009i | \(-0.423166\pi\) |
−0.377355 | + | 0.926069i | \(0.623166\pi\) | |||||||
\(564\) | 1.35362 | + | 4.16600i | 0.0569975 | + | 0.175420i | ||||
\(565\) | 2.36652 | + | 2.42604i | 0.0995601 | + | 0.102064i | ||||
\(566\) | −5.97859 | + | 18.4002i | −0.251299 | + | 0.773418i | ||||
\(567\) | 0.193566 | − | 0.266421i | 0.00812903 | − | 0.0111886i | ||||
\(568\) | 5.71189i | 0.239665i | ||||||||
\(569\) | 14.0801 | + | 10.2298i | 0.590270 | + | 0.428856i | 0.842412 | − | 0.538834i | \(-0.181135\pi\) |
−0.252142 | + | 0.967690i | \(0.581135\pi\) | |||||||
\(570\) | 2.05202 | − | 11.9902i | 0.0859495 | − | 0.502212i | ||||
\(571\) | 30.1126 | − | 21.8781i | 1.26017 | − | 0.915570i | 0.261408 | − | 0.965228i | \(-0.415813\pi\) |
0.998766 | + | 0.0496580i | \(0.0158131\pi\) | |||||||
\(572\) | 1.42647 | + | 1.96337i | 0.0596438 | + | 0.0820927i | ||||
\(573\) | 11.5014 | − | 3.73703i | 0.480478 | − | 0.156117i | ||||
\(574\) | 4.12320 | 0.172099 | ||||||||
\(575\) | −25.8127 | − | 19.7519i | −1.07646 | − | 0.823709i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −19.1201 | + | 6.21250i | −0.795980 | + | 0.258630i | −0.678649 | − | 0.734463i | \(-0.737434\pi\) |
−0.117332 | + | 0.993093i | \(0.537434\pi\) | |||||||
\(578\) | −17.0758 | − | 23.5028i | −0.710260 | − | 0.977589i | ||||
\(579\) | −8.92808 | + | 6.48663i | −0.371038 | + | 0.269575i | ||||
\(580\) | −9.63940 | + | 9.40289i | −0.400254 | + | 0.390434i | ||||
\(581\) | 4.58125 | + | 3.32847i | 0.190062 | + | 0.138088i | ||||
\(582\) | 9.51004i | 0.394204i | ||||||||
\(583\) | 4.98786 | − | 6.86520i | 0.206576 | − | 0.284327i | ||||
\(584\) | −0.909340 | + | 2.79866i | −0.0376287 | + | 0.115809i | ||||
\(585\) | 0.966621 | − | 0.477490i | 0.0399649 | − | 0.0197418i | ||||
\(586\) | 4.64456 | + | 14.2945i | 0.191865 | + | 0.590500i | ||||
\(587\) | 5.81892 | + | 1.89068i | 0.240173 | + | 0.0780368i | 0.426630 | − | 0.904426i | \(-0.359701\pi\) |
−0.186457 | + | 0.982463i | \(0.559701\pi\) | |||||||
\(588\) | −6.55426 | − | 2.12961i | −0.270293 | − | 0.0878235i | ||||
\(589\) | −2.21684 | − | 6.82274i | −0.0913434 | − | 0.281126i | ||||
\(590\) | −1.05628 | + | 2.01093i | −0.0434864 | + | 0.0827887i | ||||
\(591\) | −6.37229 | + | 19.6119i | −0.262121 | + | 0.806726i | ||||
\(592\) | −0.458554 | + | 0.631145i | −0.0188465 | + | 0.0259399i | ||||
\(593\) | 24.9458i | 1.02440i | 0.858866 | + | 0.512201i | \(0.171170\pi\) | ||||
−0.858866 | + | 0.512201i | \(0.828830\pi\) | |||||||
\(594\) | −4.07210 | − | 2.95855i | −0.167080 | − | 0.121391i | ||||
\(595\) | −2.21315 | − | 4.48026i | −0.0907305 | − | 0.183673i | ||||
\(596\) | −4.09739 | + | 2.97693i | −0.167836 | + | 0.121940i | ||||
\(597\) | 10.8925 | + | 14.9922i | 0.445798 | + | 0.613589i | ||||
\(598\) | 2.98085 | − | 0.968538i | 0.121896 | − | 0.0396065i | ||||
\(599\) | 0.941228 | 0.0384575 | 0.0192288 | − | 0.999815i | \(-0.493879\pi\) | ||||
0.0192288 | + | 0.999815i | \(0.493879\pi\) | |||||||
\(600\) | −2.83755 | − | 4.11683i | −0.115842 | − | 0.168069i | ||||
\(601\) | 10.2333 | 0.417426 | 0.208713 | − | 0.977977i | \(-0.433073\pi\) | ||||
0.208713 | + | 0.977977i | \(0.433073\pi\) | |||||||
\(602\) | 0.775419 | − | 0.251949i | 0.0316037 | − | 0.0102687i | ||||
\(603\) | −1.84819 | − | 2.54381i | −0.0752641 | − | 0.103592i | ||||
\(604\) | −13.7194 | + | 9.96772i | −0.558234 | + | 0.405581i | ||||
\(605\) | −31.7193 | + | 4.62078i | −1.28957 | + | 0.187862i | ||||
\(606\) | −15.5683 | − | 11.3110i | −0.632420 | − | 0.459480i | ||||
\(607\) | − | 6.80623i | − | 0.276256i | −0.990414 | − | 0.138128i | \(-0.955891\pi\) | ||
0.990414 | − | 0.138128i | \(-0.0441086\pi\) | |||||||
\(608\) | 3.19762 | − | 4.40115i | 0.129681 | − | 0.178490i | ||||
\(609\) | −0.612839 | + | 1.88612i | −0.0248335 | + | 0.0764296i | ||||
\(610\) | 1.34999 | + | 9.26702i | 0.0546596 | + | 0.375211i | ||||
\(611\) | 0.652649 | + | 2.00865i | 0.0264034 | + | 0.0812612i | ||||
\(612\) | −6.45396 | − | 2.09702i | −0.260886 | − | 0.0847670i | ||||
\(613\) | −1.08367 | − | 0.352106i | −0.0437690 | − | 0.0142214i | 0.287051 | − | 0.957915i | \(-0.407325\pi\) |
−0.330820 | + | 0.943694i | \(0.607325\pi\) | |||||||
\(614\) | −6.08951 | − | 18.7416i | −0.245753 | − | 0.756349i | ||||
\(615\) | −27.5955 | − | 4.72275i | −1.11276 | − | 0.190440i | ||||
\(616\) | 0.512218 | − | 1.57644i | 0.0206378 | − | 0.0635167i | ||||
\(617\) | 8.43925 | − | 11.6156i | 0.339752 | − | 0.467628i | −0.604617 | − | 0.796516i | \(-0.706674\pi\) |
0.944369 | + | 0.328888i | \(0.106674\pi\) | |||||||
\(618\) | 5.10689i | 0.205429i | ||||||||
\(619\) | 0.385511 | + | 0.280090i | 0.0154950 | + | 0.0112578i | 0.595506 | − | 0.803351i | \(-0.296952\pi\) |
−0.580011 | + | 0.814609i | \(0.696952\pi\) | |||||||
\(620\) | −2.61047 | − | 1.37120i | −0.104839 | − | 0.0550688i | ||||
\(621\) | −5.25906 | + | 3.82093i | −0.211039 | + | 0.153329i | ||||
\(622\) | 16.5986 | + | 22.8461i | 0.665545 | + | 0.916044i | ||||
\(623\) | 1.08126 | − | 0.351323i | 0.0433198 | − | 0.0140754i | ||||
\(624\) | 0.482152 | 0.0193015 | ||||||||
\(625\) | −8.89662 | + | 23.3634i | −0.355865 | + | 0.934537i | ||||
\(626\) | −11.2478 | −0.449553 | ||||||||
\(627\) | −26.0421 | + | 8.46159i | −1.04002 | + | 0.337923i | ||||
\(628\) | 13.4182 | + | 18.4686i | 0.535444 | + | 0.736976i | ||||
\(629\) | 4.28301 | − | 3.11179i | 0.170775 | − | 0.124075i | ||||
\(630\) | −0.651908 | − | 0.342428i | −0.0259727 | − | 0.0136427i | ||||
\(631\) | 13.7958 | + | 10.0232i | 0.549201 | + | 0.399018i | 0.827491 | − | 0.561479i | \(-0.189768\pi\) |
−0.278290 | + | 0.960497i | \(0.589768\pi\) | |||||||
\(632\) | − | 8.48510i | − | 0.337519i | ||||||
\(633\) | 9.26574 | − | 12.7532i | 0.368280 | − | 0.506894i | ||||
\(634\) | 7.19752 | − | 22.1517i | 0.285850 | − | 0.879756i | ||||
\(635\) | 27.7830 | + | 4.75483i | 1.10254 | + | 0.188690i | ||||
\(636\) | −0.520975 | − | 1.60340i | −0.0206580 | − | 0.0635788i | ||||
\(637\) | −3.16015 | − | 1.02679i | −0.125210 | − | 0.0406831i | ||||
\(638\) | 28.8283 | + | 9.36690i | 1.14133 | + | 0.370839i | ||||
\(639\) | −1.76507 | − | 5.43233i | −0.0698251 | − | 0.214900i | ||||
\(640\) | −0.322342 | − | 2.21271i | −0.0127417 | − | 0.0874651i | ||||
\(641\) | −10.1127 | + | 31.1237i | −0.399428 | + | 1.22931i | 0.526031 | + | 0.850465i | \(0.323680\pi\) |
−0.925459 | + | 0.378848i | \(0.876320\pi\) | |||||||
\(642\) | 9.01307 | − | 12.4054i | 0.355717 | − | 0.489603i | ||||
\(643\) | − | 12.5844i | − | 0.496281i | −0.968724 | − | 0.248141i | \(-0.920180\pi\) | ||
0.968724 | − | 0.248141i | \(-0.0798195\pi\) | |||||||
\(644\) | −1.73189 | − | 1.25829i | −0.0682458 | − | 0.0495835i | ||||
\(645\) | −5.47827 | + | 0.798060i | −0.215707 | + | 0.0314236i | ||||
\(646\) | −29.8666 | + | 21.6994i | −1.17509 | + | 0.853751i | ||||
\(647\) | 15.0706 | + | 20.7430i | 0.592488 | + | 0.815490i | 0.994995 | − | 0.0999273i | \(-0.0318610\pi\) |
−0.402507 | + | 0.915417i | \(0.631861\pi\) | |||||||
\(648\) | −0.951057 | + | 0.309017i | −0.0373610 | + | 0.0121393i | ||||
\(649\) | 5.11308 | 0.200706 | ||||||||
\(650\) | −1.36813 | − | 1.98494i | −0.0536625 | − | 0.0778557i | ||||
\(651\) | −0.434265 | −0.0170202 | ||||||||
\(652\) | 7.56873 | − | 2.45923i | 0.296414 | − | 0.0963109i | ||||
\(653\) | −17.6669 | − | 24.3165i | −0.691361 | − | 0.951577i | −1.00000 | 0.000397632i | \(-0.999873\pi\) | |
0.308639 | − | 0.951179i | \(-0.400127\pi\) | |||||||
\(654\) | −7.89623 | + | 5.73695i | −0.308767 | + | 0.224332i | ||||
\(655\) | −13.9200 | − | 28.1794i | −0.543900 | − | 1.10106i | ||||
\(656\) | −10.1293 | − | 7.35938i | −0.395483 | − | 0.287335i | ||||
\(657\) | − | 2.94269i | − | 0.114805i | ||||||
\(658\) | 0.847898 | − | 1.16703i | 0.0330545 | − | 0.0454956i | ||||
\(659\) | 2.48706 | − | 7.65438i | 0.0968821 | − | 0.298172i | −0.890858 | − | 0.454283i | \(-0.849896\pi\) |
0.987740 | + | 0.156110i | \(0.0498956\pi\) | |||||||
\(660\) | −5.23382 | + | 9.96405i | −0.203726 | + | 0.387850i | ||||
\(661\) | −0.225140 | − | 0.692909i | −0.00875692 | − | 0.0269510i | 0.946583 | − | 0.322461i | \(-0.104510\pi\) |
−0.955340 | + | 0.295510i | \(0.904510\pi\) | |||||||
\(662\) | −0.123004 | − | 0.0399663i | −0.00478068 | − | 0.00155334i | ||||
\(663\) | −3.11179 | − | 1.01108i | −0.120852 | − | 0.0392672i | ||||
\(664\) | −5.31370 | − | 16.3539i | −0.206212 | − | 0.634654i | ||||
\(665\) | −3.59164 | + | 1.77419i | −0.139278 | + | 0.0688002i | ||||
\(666\) | 0.241076 | − | 0.741956i | 0.00934151 | − | 0.0287502i | ||||
\(667\) | 23.0103 | − | 31.6709i | 0.890961 | − | 1.22630i | ||||
\(668\) | 13.9503i | 0.539754i | ||||||||
\(669\) | −17.9426 | − | 13.0360i | −0.693700 | − | 0.504002i | ||||
\(670\) | −5.03298 | + | 4.90949i | −0.194441 | + | 0.189670i | ||||
\(671\) | 17.0543 | − | 12.3907i | 0.658373 | − | 0.478336i | ||||
\(672\) | −0.193566 | − | 0.266421i | −0.00746699 | − | 0.0102774i | ||||
\(673\) | −7.04563 | + | 2.28926i | −0.271589 | + | 0.0882446i | −0.441645 | − | 0.897190i | \(-0.645605\pi\) |
0.170056 | + | 0.985434i | \(0.445605\pi\) | |||||||
\(674\) | −0.538069 | −0.0207256 | ||||||||
\(675\) | 3.97084 | + | 3.03849i | 0.152838 | + | 0.116952i | ||||
\(676\) | −12.7675 | −0.491059 | ||||||||
\(677\) | 9.31563 | − | 3.02683i | 0.358029 | − | 0.116331i | −0.124479 | − | 0.992222i | \(-0.539726\pi\) |
0.482508 | + | 0.875892i | \(0.339726\pi\) | |||||||
\(678\) | −0.890881 | − | 1.22619i | −0.0342141 | − | 0.0470916i | ||||
\(679\) | 2.53368 | − | 1.84082i | 0.0972336 | − | 0.0706444i | ||||
\(680\) | −2.55972 | + | 14.9567i | −0.0981607 | + | 0.573564i | ||||
\(681\) | −8.97759 | − | 6.52260i | −0.344022 | − | 0.249947i | ||||
\(682\) | 6.63750i | 0.254163i | ||||||||
\(683\) | 19.7406 | − | 27.1706i | 0.755354 | − | 1.03966i | −0.242233 | − | 0.970218i | \(-0.577880\pi\) |
0.997586 | − | 0.0694369i | \(-0.0221202\pi\) | |||||||
\(684\) | −1.68109 | + | 5.17386i | −0.0642781 | + | 0.197828i | ||||
\(685\) | 10.4435 | + | 10.7062i | 0.399025 | + | 0.409062i | ||||
\(686\) | 1.41366 | + | 4.35079i | 0.0539737 | + | 0.166114i | ||||
\(687\) | −1.71075 | − | 0.555857i | −0.0652692 | − | 0.0212073i | ||||
\(688\) | −2.35464 | − | 0.765070i | −0.0897699 | − | 0.0291680i | ||||
\(689\) | −0.251189 | − | 0.773081i | −0.00956955 | − | 0.0294520i | ||||
\(690\) | 10.1498 | + | 10.4051i | 0.386397 | + | 0.396117i | ||||
\(691\) | 8.06874 | − | 24.8330i | 0.306950 | − | 0.944693i | −0.671993 | − | 0.740557i | \(-0.734562\pi\) |
0.978943 | − | 0.204136i | \(-0.0654385\pi\) | |||||||
\(692\) | 11.4623 | − | 15.7765i | 0.435732 | − | 0.599734i | ||||
\(693\) | 1.65757i | 0.0629659i | ||||||||
\(694\) | −18.3773 | − | 13.3519i | −0.697593 | − | 0.506831i | ||||
\(695\) | −1.16102 | + | 6.78396i | −0.0440399 | + | 0.257330i | ||||
\(696\) | 4.87203 | − | 3.53974i | 0.184674 | − | 0.134173i | ||||
\(697\) | 49.9415 | + | 68.7385i | 1.89167 | + | 2.60366i | ||||
\(698\) | −6.50855 | + | 2.11476i | −0.246352 | + | 0.0800447i | ||||
\(699\) | −3.70579 | −0.140166 | ||||||||
\(700\) | −0.547558 | + | 1.55286i | −0.0206957 | + | 0.0586928i | ||||
\(701\) | 41.8212 | 1.57956 | 0.789782 | − | 0.613388i | \(-0.210194\pi\) | ||||
0.789782 | + | 0.613388i | \(0.210194\pi\) | |||||||
\(702\) | −0.458554 | + | 0.148993i | −0.0173070 | + | 0.00562339i | ||||
\(703\) | −2.49459 | − | 3.43351i | −0.0940852 | − | 0.129497i | ||||
\(704\) | −4.07210 | + | 2.95855i | −0.153473 | + | 0.111505i | ||||
\(705\) | −7.01150 | + | 6.83946i | −0.264068 | + | 0.257589i | ||||
\(706\) | 13.5744 | + | 9.86237i | 0.510879 | + | 0.371175i | ||||
\(707\) | 6.33717i | 0.238334i | ||||||||
\(708\) | 0.597091 | − | 0.821825i | 0.0224401 | − | 0.0308861i | ||||
\(709\) | 2.74068 | − | 8.43495i | 0.102928 | − | 0.316781i | −0.886310 | − | 0.463092i | \(-0.846740\pi\) |
0.989239 | + | 0.146311i | \(0.0467400\pi\) | |||||||
\(710\) | −11.4512 | + | 5.65666i | −0.429757 | + | 0.212291i | ||||
\(711\) | 2.62204 | + | 8.06981i | 0.0983342 | + | 0.302642i | ||||
\(712\) | −3.28336 | − | 1.06683i | −0.123049 | − | 0.0399811i | ||||
\(713\) | 8.15268 | + | 2.64897i | 0.305320 | + | 0.0992045i | ||||
\(714\) | 0.690580 | + | 2.12539i | 0.0258443 | + | 0.0795406i | ||||
\(715\) | −2.52350 | + | 4.80419i | −0.0943735 | + | 0.179666i | ||||
\(716\) | −5.86857 | + | 18.0616i | −0.219319 | + | 0.674994i | ||||
\(717\) | 9.91790 | − | 13.6508i | 0.370391 | − | 0.509799i | ||||
\(718\) | − | 7.46364i | − | 0.278541i | ||||||
\(719\) | −2.14802 | − | 1.56062i | −0.0801074 | − | 0.0582015i | 0.547011 | − | 0.837126i | \(-0.315766\pi\) |
−0.627118 | + | 0.778924i | \(0.715766\pi\) | |||||||
\(720\) | 0.990331 | + | 2.00481i | 0.0369075 | + | 0.0747147i | ||||
\(721\) | 1.36058 | − | 0.988522i | 0.0506708 | − | 0.0368145i | ||||
\(722\) | 6.22755 | + | 8.57148i | 0.231765 | + | 0.318998i | ||||
\(723\) | −19.6161 | + | 6.37366i | −0.729531 | + | 0.237039i | ||||
\(724\) | 18.9484 | 0.704211 | ||||||||
\(725\) | −28.3972 | − | 10.0132i | −1.05464 | − | 0.371879i | ||||
\(726\) | 14.3350 | 0.532023 | ||||||||
\(727\) | −6.69240 | + | 2.17449i | −0.248207 | + | 0.0806475i | −0.430479 | − | 0.902601i | \(-0.641655\pi\) |
0.182271 | + | 0.983248i | \(0.441655\pi\) | |||||||
\(728\) | −0.0933285 | − | 0.128456i | −0.00345898 | − | 0.00476088i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | −6.51132 | + | 0.948551i | −0.240995 | + | 0.0351074i | ||||
\(731\) | 13.5924 | + | 9.87546i | 0.502733 | + | 0.365257i | ||||
\(732\) | − | 4.18808i | − | 0.154796i | ||||||
\(733\) | 11.9086 | − | 16.3908i | 0.439854 | − | 0.605407i | −0.530326 | − | 0.847794i | \(-0.677930\pi\) |
0.970180 | + | 0.242387i | \(0.0779304\pi\) | |||||||
\(734\) | −1.90192 | + | 5.85350i | −0.0702011 | + | 0.216057i | ||||
\(735\) | −2.22144 | − | 15.2490i | −0.0819389 | − | 0.562469i | ||||
\(736\) | 2.00878 | + | 6.18239i | 0.0740446 | + | 0.227886i | ||||
\(737\) | 15.0520 | + | 4.89070i | 0.554448 | + | 0.180151i | ||||
\(738\) | 11.9077 | + | 3.86905i | 0.438329 | + | 0.142422i | ||||
\(739\) | −5.30003 | − | 16.3118i | −0.194965 | − | 0.600039i | −0.999977 | − | 0.00678134i | \(-0.997841\pi\) |
0.805012 | − | 0.593258i | \(-0.202159\pi\) | |||||||
\(740\) | −1.71944 | − | 0.294269i | −0.0632080 | − | 0.0108175i | ||||
\(741\) | −0.810541 | + | 2.49459i | −0.0297760 | + | 0.0916410i | ||||
\(742\) | −0.326336 | + | 0.449163i | −0.0119802 | + | 0.0164893i | ||||
\(743\) | − | 9.94252i | − | 0.364756i | −0.983229 | − | 0.182378i | \(-0.941621\pi\) | ||
0.983229 | − | 0.182378i | \(-0.0583794\pi\) | |||||||
\(744\) | 1.06685 | + | 0.775108i | 0.0391124 | + | 0.0284169i | ||||
\(745\) | −10.0259 | − | 5.26632i | −0.367322 | − | 0.192943i | ||||
\(746\) | 7.41811 | − | 5.38957i | 0.271596 | − | 0.197326i | ||||
\(747\) | 10.1073 | + | 13.9114i | 0.369805 | + | 0.508993i | ||||
\(748\) | 32.4853 | − | 10.5551i | 1.18778 | − | 0.385933i | ||||
\(749\) | −5.04970 | −0.184512 | ||||||||
\(750\) | 5.44333 | − | 9.76576i | 0.198762 | − | 0.356595i | ||||
\(751\) | −17.6941 | −0.645667 | −0.322833 | − | 0.946456i | \(-0.604635\pi\) | ||||
−0.322833 | + | 0.946456i | \(0.604635\pi\) | |||||||
\(752\) | −4.16600 | + | 1.35362i | −0.151919 | + | 0.0493613i | ||||
\(753\) | −5.11147 | − | 7.03533i | −0.186272 | − | 0.256382i | ||||
\(754\) | 2.34906 | − | 1.70669i | 0.0855478 | − | 0.0621541i | ||||
\(755\) | −33.5701 | − | 17.6334i | −1.22174 | − | 0.641744i | ||||
\(756\) | 0.266421 | + | 0.193566i | 0.00968965 | + | 0.00703994i | ||||
\(757\) | − | 37.1272i | − | 1.34941i | −0.738087 | − | 0.674706i | \(-0.764271\pi\) | ||
0.738087 | − | 0.674706i | \(-0.235729\pi\) | |||||||
\(758\) | −20.3562 | + | 28.0179i | −0.739371 | + | 1.01766i | ||||
\(759\) | 10.1110 | − | 31.1184i | 0.367005 | − | 1.12953i | ||||
\(760\) | 11.9902 | + | 2.05202i | 0.434929 | + | 0.0744345i | ||||
\(761\) | −15.3161 | − | 47.1381i | −0.555208 | − | 1.70876i | −0.695393 | − | 0.718630i | \(-0.744770\pi\) |
0.140184 | − | 0.990125i | \(-0.455230\pi\) | |||||||
\(762\) | −11.9886 | − | 3.89534i | −0.434302 | − | 0.141113i | ||||
\(763\) | 3.05689 | + | 0.993244i | 0.110667 | + | 0.0359578i | ||||
\(764\) | 3.73703 | + | 11.5014i | 0.135201 | + | 0.416106i | ||||
\(765\) | −2.18744 | − | 15.0157i | −0.0790872 | − | 0.542893i | ||||
\(766\) | −2.94198 | + | 9.05448i | −0.106298 | + | 0.327152i | ||||
\(767\) | 0.287889 | − | 0.396245i | 0.0103951 | − | 0.0143076i | ||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 27.8015 | + | 20.1990i | 1.00255 | + | 0.728393i | 0.962633 | − | 0.270810i | \(-0.0872915\pi\) |
0.0399144 | + | 0.999203i | \(0.487291\pi\) | |||||||
\(770\) | 3.66773 | − | 0.534304i | 0.132176 | − | 0.0192550i | ||||
\(771\) | −5.74980 | + | 4.17747i | −0.207074 | + | 0.150448i | ||||
\(772\) | −6.48663 | − | 8.92808i | −0.233459 | − | 0.321329i | ||||
\(773\) | 21.8672 | − | 7.10509i | 0.786510 | − | 0.255552i | 0.111893 | − | 0.993720i | \(-0.464309\pi\) |
0.674617 | + | 0.738168i | \(0.264309\pi\) | |||||||
\(774\) | 2.47582 | 0.0889915 | ||||||||
\(775\) | 0.163765 | − | 6.59143i | 0.00588260 | − | 0.236771i | ||||
\(776\) | −9.51004 | −0.341390 | ||||||||
\(777\) | −0.244337 | + | 0.0793900i | −0.00876555 | + | 0.00284810i | ||||
\(778\) | 10.2541 | + | 14.1136i | 0.367628 | + | 0.505997i | ||||
\(779\) | 55.1047 | − | 40.0359i | 1.97433 | − | 1.43444i | ||||
\(780\) | 0.477490 | + | 0.966621i | 0.0170969 | + | 0.0346106i | ||||
\(781\) | 23.2594 | + | 16.8989i | 0.832286 | + | 0.604691i | ||||
\(782\) | − | 44.1134i | − | 1.57749i | ||||||
\(783\) | −3.53974 | + | 4.87203i | −0.126500 | + | 0.174112i | ||||
\(784\) | 2.12961 | − | 6.55426i | 0.0760574 | − | 0.234081i | ||||
\(785\) | −23.7374 | + | 45.1908i | −0.847224 | + | 1.61293i | ||||
\(786\) | 4.34352 | + | 13.3680i | 0.154928 | + | 0.476820i | ||||
\(787\) | 8.00012 | + | 2.59940i | 0.285174 | + | 0.0926585i | 0.448111 | − | 0.893978i | \(-0.352097\pi\) |
−0.162938 | + | 0.986636i | \(0.552097\pi\) | |||||||
\(788\) | −19.6119 | − | 6.37229i | −0.698645 | − | 0.227004i | ||||
\(789\) | 4.90130 | + | 15.0847i | 0.174491 | + | 0.537028i | ||||
\(790\) | 17.0110 | − | 8.40306i | 0.605223 | − | 0.298967i | ||||
\(791\) | −0.154239 | + | 0.474699i | −0.00548411 | + | 0.0168784i | ||||
\(792\) | 2.95855 | − | 4.07210i | 0.105128 | − | 0.144696i | ||||
\(793\) | − | 2.01929i | − | 0.0717072i | ||||||
\(794\) | −10.9663 | − | 7.96751i | −0.389181 | − | 0.282757i | ||||
\(795\) | 2.69856 | − | 2.63235i | 0.0957081 | − | 0.0933597i | ||||
\(796\) | −14.9922 | + | 10.8925i | −0.531383 | + | 0.386073i | ||||
\(797\) | 22.4972 | + | 30.9647i | 0.796890 | + | 1.09683i | 0.993216 | + | 0.116287i | \(0.0370991\pi\) |
−0.196325 | + | 0.980539i | \(0.562901\pi\) | |||||||
\(798\) | 1.70383 | − | 0.553608i | 0.0603149 | − | 0.0195975i | ||||
\(799\) | 29.7258 | 1.05162 | ||||||||
\(800\) | 4.11683 | − | 2.83755i | 0.145552 | − | 0.100323i | ||||
\(801\) | 3.45233 | 0.121982 | ||||||||
\(802\) | 13.4198 | − | 4.36037i | 0.473871 | − | 0.153970i | ||||
\(803\) | 8.70609 | + | 11.9829i | 0.307231 | + | 0.422868i | ||||
\(804\) | 2.54381 | − | 1.84819i | 0.0897134 | − | 0.0651806i | ||||
\(805\) | 0.807484 | − | 4.71822i | 0.0284601 | − | 0.166295i | ||||
\(806\) | 0.514382 | + | 0.373720i | 0.0181183 | + | 0.0131637i | ||||
\(807\) | − | 4.51935i | − | 0.159089i | ||||||
\(808\) | 11.3110 | − | 15.5683i | 0.397921 | − | 0.547692i | ||||
\(809\) | 9.51817 | − | 29.2939i | 0.334641 | − | 1.02992i | −0.632258 | − | 0.774758i | \(-0.717872\pi\) |
0.966899 | − | 0.255161i | \(-0.0821284\pi\) | |||||||
\(810\) | −1.56138 | − | 1.60065i | −0.0548613 | − | 0.0562413i | ||||
\(811\) | −0.243268 | − | 0.748703i | −0.00854230 | − | 0.0262905i | 0.946695 | − | 0.322133i | \(-0.104400\pi\) |
−0.955237 | + | 0.295842i | \(0.904400\pi\) | |||||||
\(812\) | −1.88612 | − | 0.612839i | −0.0661900 | − | 0.0215064i | ||||
\(813\) | 10.5866 | + | 3.43980i | 0.371289 | + | 0.120639i | ||||
\(814\) | 1.21343 | + | 3.73456i | 0.0425307 | + | 0.130896i | ||||
\(815\) | 12.4258 | + | 12.7384i | 0.435258 | + | 0.446206i | ||||
\(816\) | 2.09702 | − | 6.45396i | 0.0734104 | − | 0.225934i | ||||
\(817\) | 7.91674 | − | 10.8965i | 0.276972 | − | 0.381219i | ||||
\(818\) | − | 16.5637i | − | 0.579138i | ||||||
\(819\) | 0.128456 | + | 0.0933285i | 0.00448860 | + | 0.00326116i | ||||
\(820\) | 4.72275 | − | 27.5955i | 0.164925 | − | 0.963678i | ||||
\(821\) | −14.1344 | + | 10.2692i | −0.493293 | + | 0.358398i | −0.806449 | − | 0.591303i | \(-0.798614\pi\) |
0.313157 | + | 0.949702i | \(0.398614\pi\) | |||||||
\(822\) | −3.93148 | − | 5.41122i | −0.137126 | − | 0.188738i | ||||
\(823\) | −35.5950 | + | 11.5655i | −1.24077 | + | 0.403149i | −0.854603 | − | 0.519282i | \(-0.826199\pi\) |
−0.386162 | + | 0.922431i | \(0.626199\pi\) | |||||||
\(824\) | −5.10689 | −0.177907 | ||||||||
\(825\) | −25.1592 | − | 0.625083i | −0.875931 | − | 0.0217626i | ||||
\(826\) | −0.334529 | −0.0116397 | ||||||||
\(827\) | −11.2147 | + | 3.64386i | −0.389972 | + | 0.126710i | −0.497439 | − | 0.867499i | \(-0.665726\pi\) |
0.107467 | + | 0.994209i | \(0.465726\pi\) | |||||||
\(828\) | −3.82093 | − | 5.25906i | −0.132786 | − | 0.182765i | ||||
\(829\) | −28.3388 | + | 20.5893i | −0.984247 | + | 0.715098i | −0.958654 | − | 0.284575i | \(-0.908148\pi\) |
−0.0255936 | + | 0.999672i | \(0.508148\pi\) | |||||||
\(830\) | 27.5240 | − | 26.8487i | 0.955373 | − | 0.931932i | ||||
\(831\) | 18.4729 | + | 13.4214i | 0.640819 | + | 0.465582i | ||||
\(832\) | 0.482152i | 0.0167156i | ||||||||
\(833\) | −27.4888 | + | 37.8351i | −0.952430 | + | 1.31091i | ||||
\(834\) | 0.951151 | − | 2.92734i | 0.0329357 | − | 0.101366i | ||||
\(835\) | −27.9677 | + | 13.8154i | −0.967861 | + | 0.478103i | ||||
\(836\) | −8.46159 | − | 26.0421i | −0.292650 | − | 0.900684i | ||||
\(837\) | −1.25415 | − | 0.407499i | −0.0433498 | − | 0.0140852i | ||||
\(838\) | 16.1399 | + | 5.24417i | 0.557543 | + | 0.181157i | ||||
\(839\) | −0.154094 | − | 0.474252i | −0.00531991 | − | 0.0163730i | 0.948361 | − | 0.317192i | \(-0.102740\pi\) |
−0.953681 | + | 0.300819i | \(0.902740\pi\) | |||||||
\(840\) | 0.342428 | − | 0.651908i | 0.0118149 | − | 0.0224930i | ||||
\(841\) | 2.24546 | − | 6.91082i | 0.0774297 | − | 0.238304i | ||||
\(842\) | 4.15118 | − | 5.71360i | 0.143059 | − | 0.196904i | ||||
\(843\) | 28.7548i | 0.990367i | ||||||||
\(844\) | 12.7532 | + | 9.26574i | 0.438983 | + | 0.318940i | ||||
\(845\) | −12.6441 | − | 25.5964i | −0.434970 | − | 0.880543i | ||||
\(846\) | 3.54381 | − | 2.57473i | 0.121839 | − | 0.0885211i | ||||
\(847\) | −2.77478 | − | 3.81916i | −0.0953427 | − | 0.131228i | ||||
\(848\) | 1.60340 | − | 0.520975i | 0.0550609 | − | 0.0178904i | ||||
\(849\) | 19.3471 | 0.663992 | ||||||||
\(850\) | −32.5203 | + | 9.68036i | −1.11544 | + | 0.332034i | ||||
\(851\) | 5.07133 | 0.173843 | ||||||||
\(852\) | 5.43233 | − | 1.76507i | 0.186108 | − | 0.0604703i | ||||
\(853\) | −12.5542 | − | 17.2793i | −0.429846 | − | 0.591633i | 0.538072 | − | 0.842899i | \(-0.319153\pi\) |
−0.967918 | + | 0.251266i | \(0.919153\pi\) | |||||||
\(854\) | −1.11579 | + | 0.810672i | −0.0381817 | + | 0.0277406i | ||||
\(855\) | −12.0374 | + | 1.75358i | −0.411671 | + | 0.0599711i | ||||
\(856\) | 12.4054 | + | 9.01307i | 0.424009 | + | 0.308060i | ||||
\(857\) | 33.4831i | 1.14376i | 0.820337 | + | 0.571880i | \(0.193786\pi\) | ||||
−0.820337 | + | 0.571880i | \(0.806214\pi\) | |||||||
\(858\) | 1.42647 | − | 1.96337i | 0.0486990 | − | 0.0670284i | ||||
\(859\) | −14.0563 | + | 43.2610i | −0.479596 | + | 1.47605i | 0.360061 | + | 0.932929i | \(0.382756\pi\) |
−0.839657 | + | 0.543117i | \(0.817244\pi\) | |||||||
\(860\) | −0.798060 | − | 5.47827i | −0.0272136 | − | 0.186808i | ||||
\(861\) | −1.27414 | − | 3.92139i | −0.0434225 | − | 0.133641i | ||||
\(862\) | 16.9841 | + | 5.51848i | 0.578482 | + | 0.187960i | ||||
\(863\) | 13.7608 | + | 4.47115i | 0.468423 | + | 0.152200i | 0.533711 | − | 0.845667i | \(-0.320797\pi\) |
−0.0652888 | + | 0.997866i | \(0.520797\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 42.9804 | + | 7.35574i | 1.46138 | + | 0.250103i | ||||
\(866\) | −7.47193 | + | 22.9962i | −0.253906 | + | 0.781444i | ||||
\(867\) | −17.0758 | + | 23.5028i | −0.579925 | + | 0.798198i | ||||
\(868\) | − | 0.434265i | − | 0.0147399i | ||||||
\(869\) | −34.5522 | − | 25.1036i | −1.17210 | − | 0.851582i | ||||
\(870\) | 11.9214 | + | 6.26197i | 0.404174 | + | 0.212301i | ||||
\(871\) | 1.22651 | − | 0.891108i | 0.0415586 | − | 0.0301941i | ||||
\(872\) | −5.73695 | − | 7.89623i | −0.194277 | − | 0.267400i | ||||
\(873\) | 9.04458 | − | 2.93876i | 0.306113 | − | 0.0994621i | ||||
\(874\) | −35.3638 | −1.19620 | ||||||||
\(875\) | −3.65545 | + | 0.440103i | −0.123577 | + | 0.0148782i | ||||
\(876\) | 2.94269 | 0.0994241 | ||||||||
\(877\) | −42.9869 | + | 13.9673i | −1.45156 | + | 0.471641i | −0.925482 | − | 0.378793i | \(-0.876339\pi\) |
−0.526082 | + | 0.850434i | \(0.676339\pi\) | |||||||
\(878\) | 11.1152 | + | 15.2987i | 0.375119 | + | 0.516307i | ||||
\(879\) | 12.1596 | − | 8.83449i | 0.410134 | − | 0.297980i | ||||
\(880\) | −9.96405 | − | 5.23382i | −0.335888 | − | 0.176432i | ||||
\(881\) | −11.3062 | − | 8.21440i | −0.380914 | − | 0.276750i | 0.380808 | − | 0.924654i | \(-0.375646\pi\) |
−0.761722 | + | 0.647904i | \(0.775646\pi\) | |||||||
\(882\) | 6.89155i | 0.232051i | ||||||||
\(883\) | −6.89760 | + | 9.49373i | −0.232123 | + | 0.319490i | −0.909150 | − | 0.416468i | \(-0.863268\pi\) |
0.677028 | + | 0.735958i | \(0.263268\pi\) | |||||||
\(884\) | 1.01108 | − | 3.11179i | 0.0340064 | − | 0.104661i | ||||
\(885\) | 2.23892 | + | 0.383172i | 0.0752604 | + | 0.0128802i | ||||
\(886\) | 1.25389 | + | 3.85909i | 0.0421254 | + | 0.129649i | ||||
\(887\) | −18.7845 | − | 6.10346i | −0.630722 | − | 0.204934i | −0.0238271 | − | 0.999716i | \(-0.507585\pi\) |
−0.606895 | + | 0.794782i | \(0.707585\pi\) | |||||||
\(888\) | 0.741956 | + | 0.241076i | 0.0248984 | + | 0.00808998i | ||||
\(889\) | 1.28279 | + | 3.94803i | 0.0430235 | + | 0.132413i | ||||
\(890\) | −1.11283 | − | 7.63901i | −0.0373022 | − | 0.256060i | ||||
\(891\) | −1.55540 | + | 4.78704i | −0.0521080 | + | 0.160372i | ||||
\(892\) | 13.0360 | − | 17.9426i | 0.436479 | − | 0.600762i | ||||
\(893\) | − | 23.8299i | − | 0.797437i | ||||||
\(894\) | 4.09739 | + | 2.97693i | 0.137037 | + | 0.0995634i | ||||
\(895\) | −42.0218 | + | 6.12162i | −1.40464 | + | 0.204623i | ||||
\(896\) | 0.266421 | − | 0.193566i | 0.00890051 | − | 0.00646660i | ||||
\(897\) | −1.84227 | − | 2.53566i | −0.0615116 | − | 0.0846634i | ||||
\(898\) | 5.95504 | − | 1.93491i | 0.198722 | − | 0.0645688i | ||||
\(899\) | 7.94139 | 0.264860 | ||||||||
\(900\) | −3.03849 | + | 3.97084i | −0.101283 | + | 0.132361i | ||||
\(901\) | −11.4408 | −0.381147 | ||||||||
\(902\) | −59.9363 | + | 19.4745i | −1.99566 | + | 0.648429i | ||||
\(903\) | −0.479235 | − | 0.659611i | −0.0159480 | − | 0.0219505i | ||||
\(904\) | 1.22619 | − | 0.890881i | 0.0407825 | − | 0.0296302i | ||||
\(905\) | 18.7652 | + | 37.9878i | 0.623775 | + | 1.26276i | ||||
\(906\) | 13.7194 | + | 9.96772i | 0.455796 | + | 0.331155i | ||||
\(907\) | 21.0111i | 0.697661i | 0.937186 | + | 0.348831i | \(0.113421\pi\) | ||||
−0.937186 | + | 0.348831i | \(0.886579\pi\) | |||||||
\(908\) | 6.52260 | − | 8.97759i | 0.216460 | − | 0.297932i | ||||
\(909\) | −5.94657 | + | 18.3017i | −0.197235 | + | 0.607028i | ||||
\(910\) | 0.165102 | − | 0.314319i | 0.00547309 | − | 0.0104196i | ||||
\(911\) | 7.67252 | + | 23.6136i | 0.254202 | + | 0.782353i | 0.993986 | + | 0.109508i | \(0.0349277\pi\) |
−0.739784 | + | 0.672844i | \(0.765072\pi\) | |||||||
\(912\) | −5.17386 | − | 1.68109i | −0.171324 | − | 0.0556665i | ||||
\(913\) | −82.3155 | − | 26.7459i | −2.72425 | − | 0.885161i | ||||
\(914\) | −0.600200 | − | 1.84723i | −0.0198528 | − | 0.0611008i | ||||
\(915\) | 8.39629 | − | 4.14759i | 0.277573 | − | 0.137115i | ||||
\(916\) | 0.555857 | − | 1.71075i | 0.0183660 | − | 0.0565248i | ||||
\(917\) | 2.72076 | − | 3.74480i | 0.0898473 | − | 0.123664i | ||||
\(918\) | 6.78610i | 0.223975i | ||||||||
\(919\) | −29.1482 | − | 21.1774i | −0.961511 | − | 0.698579i | −0.00801012 | − | 0.999968i | \(-0.502550\pi\) |
−0.953501 | + | 0.301389i | \(0.902550\pi\) | |||||||
\(920\) | −10.4051 | + | 10.1498i | −0.343047 | + | 0.334630i | ||||
\(921\) | −15.9425 | + | 11.5829i | −0.525325 | + | 0.381671i | ||||
\(922\) | 1.83619 | + | 2.52730i | 0.0604717 | + | 0.0832321i | ||||
\(923\) | 2.61921 | − | 0.851032i | 0.0862123 | − | 0.0280121i | ||||
\(924\) | −1.65757 | −0.0545301 | ||||||||
\(925\) | −1.11287 | − | 3.73857i | −0.0365908 | − | 0.122924i | ||||
\(926\) | −8.26641 | −0.271651 | ||||||||
\(927\) | 4.85694 | − | 1.57811i | 0.159523 | − | 0.0518321i | ||||
\(928\) | 3.53974 | + | 4.87203i | 0.116198 | + | 0.159932i | ||||
\(929\) | −46.0844 | + | 33.4822i | −1.51198 | + | 1.09852i | −0.546689 | + | 0.837336i | \(0.684112\pi\) |
−0.965290 | + | 0.261181i | \(0.915888\pi\) | |||||||
\(930\) | −0.497412 | + | 2.90643i | −0.0163108 | + | 0.0953056i | ||||
\(931\) | 30.3308 | + | 22.0366i | 0.994051 | + | 0.722220i | ||||
\(932\) | − | 3.70579i | − | 0.121387i | ||||||
\(933\) | 16.5986 | − | 22.8461i | 0.543415 | − | 0.747946i | ||||
\(934\) | 9.46187 | − | 29.1206i | 0.309602 | − | 0.952856i | ||||
\(935\) | 53.3322 | + | 54.6737i | 1.74415 | + | 1.78802i | ||||
\(936\) | −0.148993 | − | 0.458554i | −0.00487000 | − | 0.0149883i | ||||
\(937\) | −39.7133 | − | 12.9036i | −1.29738 | − | 0.421543i | −0.422708 | − | 0.906266i | \(-0.638920\pi\) |
−0.874668 | + | 0.484723i | \(0.838920\pi\) | |||||||
\(938\) | −0.984794 | − | 0.319979i | −0.0321547 | − | 0.0104477i | ||||
\(939\) | 3.47577 | + | 10.6973i | 0.113427 | + | 0.349094i | ||||
\(940\) | −6.83946 | − | 7.01150i | −0.223079 | − | 0.228690i | ||||
\(941\) | −7.05275 | + | 21.7061i | −0.229913 | + | 0.707599i | 0.767843 | + | 0.640638i | \(0.221330\pi\) |
−0.997756 | + | 0.0669608i | \(0.978670\pi\) | |||||||
\(942\) | 13.4182 | − | 18.4686i | 0.437188 | − | 0.601738i | ||||
\(943\) | 81.3903i | 2.65043i | ||||||||
\(944\) | 0.821825 | + | 0.597091i | 0.0267481 | + | 0.0194337i | ||||
\(945\) | −0.124218 | + | 0.725818i | −0.00404080 | + | 0.0236109i | ||||
\(946\) | −10.0818 | + | 7.32484i | −0.327787 | + | 0.238151i | ||||
\(947\) | −4.97703 | − | 6.85030i | −0.161732 | − | 0.222605i | 0.720458 | − | 0.693498i | \(-0.243932\pi\) |
−0.882190 | + | 0.470894i | \(0.843932\pi\) | |||||||
\(948\) | −8.06981 | + | 2.62204i | −0.262095 | + | 0.0851599i | ||||
\(949\) | 1.41882 | 0.0460569 | ||||||||
\(950\) | 7.76033 | + | 26.0701i | 0.251778 | + | 0.845826i | ||||
\(951\) | −23.2917 | −0.755284 | ||||||||
\(952\) | −2.12539 | + | 0.690580i | −0.0688841 | + | 0.0223818i | ||||
\(953\) | −14.6287 | − | 20.1346i | −0.473869 | − | 0.652225i | 0.503443 | − | 0.864028i | \(-0.332066\pi\) |
−0.977312 | + | 0.211803i | \(0.932066\pi\) | |||||||
\(954\) | −1.36393 | + | 0.990953i | −0.0441589 | + | 0.0320833i | ||||
\(955\) | −19.3572 | + | 18.8822i | −0.626383 | + | 0.611014i | ||||
\(956\) | 13.6508 | + | 9.91790i | 0.441499 | + | 0.320768i | ||||
\(957\) | − | 30.3119i | − | 0.979845i | ||||||
\(958\) | −0.689407 | + | 0.948887i | −0.0222737 | + | 0.0306571i | ||||
\(959\) | −0.680661 | + | 2.09486i | −0.0219797 | + | 0.0676465i | ||||
\(960\) | −2.00481 | + | 0.990331i | −0.0647048 | + | 0.0319628i | ||||
\(961\) | −9.04216 | − | 27.8289i | −0.291683 | − | 0.897707i | ||||
\(962\) | 0.357736 | + | 0.116235i | 0.0115339 | + | 0.00374758i | ||||
\(963\) | −14.5835 | − | 4.73845i | −0.469945 | − | 0.152694i | ||||
\(964\) | −6.37366 | − | 19.6161i | −0.205282 | − | 0.631793i | ||||
\(965\) | 11.4751 | − | 21.8462i | 0.369398 | − | 0.703253i | ||||
\(966\) | −0.661521 | + | 2.03595i | −0.0212841 | + | 0.0655057i | ||||
\(967\) | 13.0046 | − | 17.8993i | 0.418199 | − | 0.575602i | −0.546995 | − | 0.837136i | \(-0.684228\pi\) |
0.965194 | + | 0.261534i | \(0.0842283\pi\) | |||||||
\(968\) | 14.3350i | 0.460746i | ||||||||
\(969\) | 29.8666 | + | 21.6994i | 0.959455 | + | 0.697085i | ||||
\(970\) | −9.41809 | − | 19.0658i | −0.302397 | − | 0.612165i | ||||
\(971\) | 13.7573 | − | 9.99529i | 0.441494 | − | 0.320764i | −0.344734 | − | 0.938700i | \(-0.612031\pi\) |
0.786228 | + | 0.617936i | \(0.212031\pi\) | |||||||
\(972\) | 0.587785 | + | 0.809017i | 0.0188532 | + | 0.0259492i | ||||
\(973\) | −0.964017 | + | 0.313228i | −0.0309050 | + | 0.0100416i | ||||
\(974\) | −11.7556 | −0.376672 | ||||||||
\(975\) | −1.46501 | + | 1.91455i | −0.0469180 | + | 0.0613147i | ||||
\(976\) | 4.18808 | 0.134057 | ||||||||
\(977\) | 39.2815 | − | 12.7633i | 1.25673 | − | 0.408335i | 0.396400 | − | 0.918078i | \(-0.370259\pi\) |
0.860327 | + | 0.509742i | \(0.170259\pi\) | |||||||
\(978\) | −4.67773 | − | 6.43835i | −0.149577 | − | 0.205876i | ||||
\(979\) | −14.0582 | + | 10.2139i | −0.449303 | + | 0.326438i | ||||
\(980\) | 15.2490 | − | 2.22144i | 0.487112 | − | 0.0709611i | ||||
\(981\) | 7.89623 | + | 5.73695i | 0.252107 | + | 0.183167i | ||||
\(982\) | − | 4.13052i | − | 0.131810i | ||||||
\(983\) | 36.3933 | − | 50.0911i | 1.16077 | − | 1.59766i | 0.452398 | − | 0.891816i | \(-0.350569\pi\) |
0.708369 | − | 0.705842i | \(-0.249431\pi\) | |||||||
\(984\) | −3.86905 | + | 11.9077i | −0.123341 | + | 0.379604i | ||||
\(985\) | −6.64707 | − | 45.6287i | −0.211793 | − | 1.45385i | ||||
\(986\) | −12.6286 | − | 38.8668i | −0.402176 | − | 1.23777i | ||||
\(987\) | −1.37193 | − | 0.445766i | −0.0436689 | − | 0.0141889i | ||||
\(988\) | −2.49459 | − | 0.810541i | −0.0793635 | − | 0.0257868i | ||||
\(989\) | 4.97338 | + | 15.3065i | 0.158144 | + | 0.486718i | ||||
\(990\) | 11.0937 | + | 1.89860i | 0.352581 | + | 0.0603414i | ||||
\(991\) | 1.52376 | − | 4.68964i | 0.0484037 | − | 0.148971i | −0.923933 | − | 0.382553i | \(-0.875045\pi\) |
0.972337 | + | 0.233582i | \(0.0750448\pi\) | |||||||
\(992\) | −0.775108 | + | 1.06685i | −0.0246097 | + | 0.0338724i | ||||
\(993\) | 0.129334i | 0.00410428i | ||||||||
\(994\) | −1.52177 | − | 1.10563i | −0.0482676 | − | 0.0350684i | ||||
\(995\) | −36.6845 | − | 19.2693i | −1.16298 | − | 0.610876i | ||||
\(996\) | −13.9114 | + | 10.1073i | −0.440801 | + | 0.320261i | ||||
\(997\) | −29.1304 | − | 40.0946i | −0.922569 | − | 1.26981i | −0.962688 | − | 0.270612i | \(-0.912774\pi\) |
0.0401195 | − | 0.999195i | \(-0.487226\pi\) | |||||||
\(998\) | −9.12209 | + | 2.96395i | −0.288755 | + | 0.0938221i | ||||
\(999\) | −0.780139 | −0.0246825 |
(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 | 150.2.h.b.19.4 | ✓ | 16 | |
3.2 | odd | 2 | 450.2.l.c.19.1 | 16 | |||
5.2 | odd | 4 | 750.2.g.f.151.2 | 16 | |||
5.3 | odd | 4 | 750.2.g.g.151.3 | 16 | |||
5.4 | even | 2 | 750.2.h.d.349.1 | 16 | |||
25.2 | odd | 20 | 3750.2.a.v.1.4 | 8 | |||
25.3 | odd | 20 | 750.2.g.g.601.3 | 16 | |||
25.4 | even | 10 | inner | 150.2.h.b.79.4 | yes | 16 | |
25.11 | even | 5 | 3750.2.c.k.1249.5 | 16 | |||
25.14 | even | 10 | 3750.2.c.k.1249.12 | 16 | |||
25.21 | even | 5 | 750.2.h.d.649.2 | 16 | |||
25.22 | odd | 20 | 750.2.g.f.601.2 | 16 | |||
25.23 | odd | 20 | 3750.2.a.u.1.5 | 8 | |||
75.29 | odd | 10 | 450.2.l.c.379.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.h.b.19.4 | ✓ | 16 | 1.1 | even | 1 | trivial | |
150.2.h.b.79.4 | yes | 16 | 25.4 | even | 10 | inner | |
450.2.l.c.19.1 | 16 | 3.2 | odd | 2 | |||
450.2.l.c.379.1 | 16 | 75.29 | odd | 10 | |||
750.2.g.f.151.2 | 16 | 5.2 | odd | 4 | |||
750.2.g.f.601.2 | 16 | 25.22 | odd | 20 | |||
750.2.g.g.151.3 | 16 | 5.3 | odd | 4 | |||
750.2.g.g.601.3 | 16 | 25.3 | odd | 20 | |||
750.2.h.d.349.1 | 16 | 5.4 | even | 2 | |||
750.2.h.d.649.2 | 16 | 25.21 | even | 5 | |||
3750.2.a.u.1.5 | 8 | 25.23 | odd | 20 | |||
3750.2.a.v.1.4 | 8 | 25.2 | odd | 20 | |||
3750.2.c.k.1249.5 | 16 | 25.11 | even | 5 | |||
3750.2.c.k.1249.12 | 16 | 25.14 | even | 10 |