Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 81.4 |
Dual form | 81.2.g.a.61.1 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.25893 | − | 0.264031i | −1.59730 | − | 0.186698i | −0.729634 | − | 0.683838i | \(-0.760309\pi\) |
−0.867670 | + | 0.497140i | \(0.834384\pi\) | |||||||
\(3\) | −1.57391 | − | 0.723054i | −0.908697 | − | 0.417455i | ||||
\(4\) | 3.08696 | + | 0.731623i | 1.54348 | + | 0.365811i | ||||
\(5\) | −0.524452 | + | 0.263390i | −0.234542 | + | 0.117791i | −0.562189 | − | 0.827009i | \(-0.690041\pi\) |
0.327647 | + | 0.944800i | \(0.393744\pi\) | |||||||
\(6\) | 3.36444 | + | 2.04889i | 1.37353 | + | 0.836455i | ||||
\(7\) | −1.09261 | + | 3.64956i | −0.412967 | + | 1.37940i | 0.458389 | + | 0.888752i | \(0.348427\pi\) |
−0.871355 | + | 0.490653i | \(0.836758\pi\) | |||||||
\(8\) | −2.50575 | − | 0.912019i | −0.885917 | − | 0.322447i | ||||
\(9\) | 1.95439 | + | 2.27604i | 0.651462 | + | 0.758681i | ||||
\(10\) | 1.25424 | − | 0.456507i | 0.396626 | − | 0.144360i | ||||
\(11\) | 0.290118 | + | 4.98113i | 0.0874739 | + | 1.50187i | 0.701549 | + | 0.712621i | \(0.252492\pi\) |
−0.614075 | + | 0.789247i | \(0.710471\pi\) | |||||||
\(12\) | −4.32959 | − | 3.38355i | −1.24985 | − | 0.976745i | ||||
\(13\) | −1.48447 | − | 1.99399i | −0.411718 | − | 0.553033i | 0.547095 | − | 0.837070i | \(-0.315733\pi\) |
−0.958813 | + | 0.284037i | \(0.908326\pi\) | |||||||
\(14\) | 3.43172 | − | 7.95562i | 0.917166 | − | 2.12623i | ||||
\(15\) | 1.01589 | − | 0.0353447i | 0.262300 | − | 0.00912597i | ||||
\(16\) | −0.250540 | − | 0.125826i | −0.0626349 | − | 0.0314564i | ||||
\(17\) | −2.18854 | − | 1.83640i | −0.530799 | − | 0.445393i | 0.337578 | − | 0.941297i | \(-0.390392\pi\) |
−0.868377 | + | 0.495904i | \(0.834837\pi\) | |||||||
\(18\) | −3.81387 | − | 5.65744i | −0.898939 | − | 1.33347i | ||||
\(19\) | 0.319901 | − | 0.268429i | 0.0733903 | − | 0.0615818i | −0.605355 | − | 0.795956i | \(-0.706969\pi\) |
0.678745 | + | 0.734374i | \(0.262524\pi\) | |||||||
\(20\) | −1.81166 | + | 0.429372i | −0.405100 | + | 0.0960105i | ||||
\(21\) | 4.35849 | − | 4.95407i | 0.951102 | − | 1.08107i | ||||
\(22\) | 0.659817 | − | 11.3286i | 0.140674 | − | 2.41527i | ||||
\(23\) | 2.10985 | + | 7.04737i | 0.439933 | + | 1.46948i | 0.834704 | + | 0.550699i | \(0.185639\pi\) |
−0.394771 | + | 0.918780i | \(0.629176\pi\) | |||||||
\(24\) | 3.28439 | + | 3.24723i | 0.670423 | + | 0.662838i | ||||
\(25\) | −2.78012 | + | 3.73435i | −0.556023 | + | 0.746869i | ||||
\(26\) | 2.82684 | + | 4.89622i | 0.554388 | + | 0.960229i | ||||
\(27\) | −1.43033 | − | 4.99541i | −0.275267 | − | 0.961368i | ||||
\(28\) | −6.04293 | + | 10.4667i | −1.14201 | + | 1.97801i | ||||
\(29\) | −2.09236 | − | 4.85064i | −0.388542 | − | 0.900741i | −0.994450 | − | 0.105207i | \(-0.966450\pi\) |
0.605909 | − | 0.795534i | \(-0.292810\pi\) | |||||||
\(30\) | −2.30414 | − | 0.188384i | −0.420677 | − | 0.0343940i | ||||
\(31\) | −2.01635 | + | 2.13721i | −0.362148 | + | 0.383854i | −0.882670 | − | 0.469994i | \(-0.844256\pi\) |
0.520522 | + | 0.853848i | \(0.325738\pi\) | |||||||
\(32\) | 4.98849 | + | 3.28098i | 0.881849 | + | 0.580001i | ||||
\(33\) | 3.14501 | − | 8.04963i | 0.547476 | − | 1.40126i | ||||
\(34\) | 4.45889 | + | 4.72614i | 0.764693 | + | 0.810527i | ||||
\(35\) | −0.388237 | − | 2.20180i | −0.0656240 | − | 0.372172i | ||||
\(36\) | 4.36791 | + | 8.45592i | 0.727984 | + | 1.40932i | ||||
\(37\) | −1.09265 | + | 6.19675i | −0.179631 | + | 1.01874i | 0.753030 | + | 0.657986i | \(0.228591\pi\) |
−0.932661 | + | 0.360753i | \(0.882520\pi\) | |||||||
\(38\) | −0.793507 | + | 0.521898i | −0.128724 | + | 0.0846630i | ||||
\(39\) | 0.894661 | + | 4.21171i | 0.143260 | + | 0.674413i | ||||
\(40\) | 1.55436 | − | 0.181679i | 0.245766 | − | 0.0287259i | ||||
\(41\) | 3.62572 | − | 0.423786i | 0.566243 | − | 0.0661843i | 0.171845 | − | 0.985124i | \(-0.445027\pi\) |
0.394398 | + | 0.918940i | \(0.370953\pi\) | |||||||
\(42\) | −11.1536 | + | 10.0401i | −1.72103 | + | 1.54922i | ||||
\(43\) | 5.02719 | − | 3.30643i | 0.766639 | − | 0.504227i | −0.104942 | − | 0.994478i | \(-0.533466\pi\) |
0.871581 | + | 0.490252i | \(0.163095\pi\) | |||||||
\(44\) | −2.74873 | + | 15.5888i | −0.414386 | + | 2.35010i | ||||
\(45\) | −1.62447 | − | 0.678910i | −0.242161 | − | 0.101206i | ||||
\(46\) | −2.90527 | − | 16.4766i | −0.428358 | − | 2.42934i | ||||
\(47\) | −4.51826 | − | 4.78908i | −0.659056 | − | 0.698558i | 0.308497 | − | 0.951225i | \(-0.400174\pi\) |
−0.967553 | + | 0.252667i | \(0.918692\pi\) | |||||||
\(48\) | 0.303348 | + | 0.379192i | 0.0437845 | + | 0.0547317i | ||||
\(49\) | −6.27710 | − | 4.12851i | −0.896728 | − | 0.589787i | ||||
\(50\) | 7.26607 | − | 7.70158i | 1.02758 | − | 1.08917i | ||||
\(51\) | 2.11675 | + | 4.47276i | 0.296404 | + | 0.626312i | ||||
\(52\) | −3.12365 | − | 7.24143i | −0.433172 | − | 1.00421i | ||||
\(53\) | 1.23882 | − | 2.14569i | 0.170165 | − | 0.294734i | −0.768313 | − | 0.640075i | \(-0.778903\pi\) |
0.938477 | + | 0.345341i | \(0.112237\pi\) | |||||||
\(54\) | 1.91206 | + | 11.6619i | 0.260199 | + | 1.58699i | ||||
\(55\) | −1.46413 | − | 2.53595i | −0.197424 | − | 0.341948i | ||||
\(56\) | 6.06627 | − | 8.14841i | 0.810639 | − | 1.08888i | ||||
\(57\) | −0.697584 | + | 0.191177i | −0.0923972 | + | 0.0253220i | ||||
\(58\) | 3.44578 | + | 11.5097i | 0.452453 | + | 1.51130i | ||||
\(59\) | −0.269441 | + | 4.62612i | −0.0350782 | + | 0.602270i | 0.934268 | + | 0.356571i | \(0.116054\pi\) |
−0.969346 | + | 0.245698i | \(0.920983\pi\) | |||||||
\(60\) | 3.16185 | + | 0.634137i | 0.408194 | + | 0.0818667i | ||||
\(61\) | 11.0879 | − | 2.62788i | 1.41966 | − | 0.336465i | 0.552091 | − | 0.833784i | \(-0.313830\pi\) |
0.867568 | + | 0.497318i | \(0.165682\pi\) | |||||||
\(62\) | 5.11909 | − | 4.29543i | 0.650125 | − | 0.545520i | ||||
\(63\) | −10.4419 | + | 4.64583i | −1.31556 | + | 0.585320i | ||||
\(64\) | −9.97283 | − | 8.36820i | −1.24660 | − | 1.04602i | ||||
\(65\) | 1.30373 | + | 0.654757i | 0.161708 | + | 0.0812126i | ||||
\(66\) | −9.22970 | + | 17.3532i | −1.13610 | + | 2.13603i | ||||
\(67\) | 2.35557 | − | 5.46083i | 0.287779 | − | 0.667146i | −0.711593 | − | 0.702592i | \(-0.752026\pi\) |
0.999372 | + | 0.0354459i | \(0.0112851\pi\) | |||||||
\(68\) | −5.41238 | − | 7.27008i | −0.656347 | − | 0.881627i | ||||
\(69\) | 1.77492 | − | 12.6175i | 0.213676 | − | 1.51896i | ||||
\(70\) | 0.295656 | + | 5.07622i | 0.0353377 | + | 0.606724i | ||||
\(71\) | 2.65492 | − | 0.966311i | 0.315081 | − | 0.114680i | −0.179639 | − | 0.983733i | \(-0.557493\pi\) |
0.494720 | + | 0.869053i | \(0.335271\pi\) | |||||||
\(72\) | −2.82141 | − | 7.48563i | −0.332507 | − | 0.882190i | ||||
\(73\) | 12.9084 | + | 4.69828i | 1.51082 | + | 0.549892i | 0.958835 | − | 0.283965i | \(-0.0916499\pi\) |
0.551981 | + | 0.833857i | \(0.313872\pi\) | |||||||
\(74\) | 4.10436 | − | 13.7095i | 0.477122 | − | 1.59370i | ||||
\(75\) | 7.07579 | − | 3.86735i | 0.817042 | − | 0.446563i | ||||
\(76\) | 1.18391 | − | 0.594582i | 0.135804 | − | 0.0682032i | ||||
\(77\) | −18.4959 | − | 4.38362i | −2.10781 | − | 0.499560i | ||||
\(78\) | −0.908954 | − | 9.75017i | −0.102919 | − | 1.10399i | ||||
\(79\) | −12.4823 | − | 1.45897i | −1.40437 | − | 0.164147i | −0.620077 | − | 0.784541i | \(-0.712899\pi\) |
−0.784290 | + | 0.620394i | \(0.786973\pi\) | |||||||
\(80\) | 0.164537 | 0.0183958 | ||||||||
\(81\) | −1.36075 | + | 8.89654i | −0.151194 | + | 0.988504i | ||||
\(82\) | −8.30214 | −0.916818 | ||||||||
\(83\) | −2.08399 | − | 0.243583i | −0.228747 | − | 0.0267367i | 0.000946978 | − | 1.00000i | \(-0.499699\pi\) |
−0.229694 | + | 0.973263i | \(0.573773\pi\) | |||||||
\(84\) | 17.0790 | − | 12.1042i | 1.86347 | − | 1.32068i | ||||
\(85\) | 1.63147 | + | 0.386666i | 0.176958 | + | 0.0419398i | ||||
\(86\) | −12.2291 | + | 6.14167i | −1.31869 | + | 0.662273i | ||||
\(87\) | −0.214084 | + | 9.14736i | −0.0229522 | + | 0.980700i | ||||
\(88\) | 3.81592 | − | 12.7461i | 0.406779 | − | 1.35874i | ||||
\(89\) | −0.324629 | − | 0.118155i | −0.0344106 | − | 0.0125244i | 0.324758 | − | 0.945797i | \(-0.394717\pi\) |
−0.359168 | + | 0.933273i | \(0.616940\pi\) | |||||||
\(90\) | 3.49030 | + | 1.96252i | 0.367910 | + | 0.206868i | ||||
\(91\) | 8.89913 | − | 3.23902i | 0.932882 | − | 0.339541i | ||||
\(92\) | 1.35699 | + | 23.2986i | 0.141476 | + | 2.42904i | ||||
\(93\) | 4.71888 | − | 1.90585i | 0.489325 | − | 0.197627i | ||||
\(94\) | 8.94196 | + | 12.0111i | 0.922293 | + | 1.23885i | ||||
\(95\) | −0.0970713 | + | 0.225037i | −0.00995930 | + | 0.0230883i | ||||
\(96\) | −5.47911 | − | 8.77092i | −0.559210 | − | 0.895178i | ||||
\(97\) | 9.80362 | + | 4.92357i | 0.995407 | + | 0.499912i | 0.870454 | − | 0.492250i | \(-0.163826\pi\) |
0.124954 | + | 0.992163i | \(0.460122\pi\) | |||||||
\(98\) | 13.0895 | + | 10.9834i | 1.32224 | + | 1.10949i | ||||
\(99\) | −10.7703 | + | 10.3954i | −1.08245 | + | 1.04478i | ||||
\(100\) | −11.3142 | + | 9.49377i | −1.13142 | + | 0.949377i | ||||
\(101\) | −1.72591 | + | 0.409048i | −0.171734 | + | 0.0407018i | −0.315583 | − | 0.948898i | \(-0.602200\pi\) |
0.143849 | + | 0.989600i | \(0.454052\pi\) | |||||||
\(102\) | −3.60063 | − | 10.6625i | −0.356516 | − | 1.05575i | ||||
\(103\) | −1.02321 | + | 17.5679i | −0.100820 | + | 1.73101i | 0.447100 | + | 0.894484i | \(0.352457\pi\) |
−0.547921 | + | 0.836530i | \(0.684580\pi\) | |||||||
\(104\) | 1.90116 | + | 6.35030i | 0.186424 | + | 0.622698i | ||||
\(105\) | −0.980970 | + | 3.74615i | −0.0957329 | + | 0.365587i | ||||
\(106\) | −3.36493 | + | 4.51988i | −0.326831 | + | 0.439010i | ||||
\(107\) | −2.26990 | − | 3.93158i | −0.219439 | − | 0.380080i | 0.735197 | − | 0.677853i | \(-0.237089\pi\) |
−0.954637 | + | 0.297773i | \(0.903756\pi\) | |||||||
\(108\) | −0.760604 | − | 16.4671i | −0.0731891 | − | 1.58455i | ||||
\(109\) | −1.95094 | + | 3.37913i | −0.186866 | + | 0.323662i | −0.944204 | − | 0.329362i | \(-0.893166\pi\) |
0.757337 | + | 0.653024i | \(0.226500\pi\) | |||||||
\(110\) | 2.63780 | + | 6.11511i | 0.251504 | + | 0.583053i | ||||
\(111\) | 6.20032 | − | 8.96308i | 0.588508 | − | 0.850737i | ||||
\(112\) | 0.732950 | − | 0.776882i | 0.0692573 | − | 0.0734084i | ||||
\(113\) | 10.8927 | + | 7.16425i | 1.02470 | + | 0.673956i | 0.946408 | − | 0.322974i | \(-0.104683\pi\) |
0.0782931 | + | 0.996930i | \(0.475053\pi\) | |||||||
\(114\) | 1.62627 | − | 0.247672i | 0.152314 | − | 0.0231966i | ||||
\(115\) | −2.96272 | − | 3.14030i | −0.276275 | − | 0.292834i | ||||
\(116\) | −2.91019 | − | 16.5045i | −0.270205 | − | 1.53241i | ||||
\(117\) | 1.63718 | − | 7.27574i | 0.151357 | − | 0.672643i | ||||
\(118\) | 1.83009 | − | 10.3789i | 0.168473 | − | 0.955459i | ||||
\(119\) | 9.09328 | − | 5.98074i | 0.833579 | − | 0.548254i | ||||
\(120\) | −2.57779 | − | 0.837941i | −0.235319 | − | 0.0764932i | ||||
\(121\) | −13.8019 | + | 1.61321i | −1.25472 | + | 0.146656i | ||||
\(122\) | −25.7406 | + | 3.00865i | −2.33045 | + | 0.272390i | ||||
\(123\) | −6.01298 | − | 1.95459i | −0.542172 | − | 0.176239i | ||||
\(124\) | −7.78803 | + | 5.12227i | −0.699386 | + | 0.459993i | ||||
\(125\) | 0.984000 | − | 5.58054i | 0.0880116 | − | 0.499139i | ||||
\(126\) | 24.8142 | − | 7.73761i | 2.21063 | − | 0.689322i | ||||
\(127\) | −1.42278 | − | 8.06900i | −0.126252 | − | 0.716008i | −0.980557 | − | 0.196236i | \(-0.937128\pi\) |
0.854305 | − | 0.519772i | \(-0.173983\pi\) | |||||||
\(128\) | 12.1237 | + | 12.8504i | 1.07159 | + | 1.13582i | ||||
\(129\) | −10.3031 | + | 1.56910i | −0.907135 | + | 0.138152i | ||||
\(130\) | −2.77215 | − | 1.82327i | −0.243134 | − | 0.159912i | ||||
\(131\) | 1.19110 | − | 1.26249i | 0.104067 | − | 0.110304i | −0.673246 | − | 0.739418i | \(-0.735101\pi\) |
0.777313 | + | 0.629114i | \(0.216582\pi\) | |||||||
\(132\) | 15.5978 | − | 22.5479i | 1.35761 | − | 1.96254i | ||||
\(133\) | 0.630121 | + | 1.46079i | 0.0546384 | + | 0.126666i | ||||
\(134\) | −6.76289 | + | 11.7137i | −0.584225 | + | 1.01191i | ||||
\(135\) | 2.06588 | + | 2.24312i | 0.177802 | + | 0.193057i | ||||
\(136\) | 3.80910 | + | 6.59755i | 0.326628 | + | 0.565736i | ||||
\(137\) | −1.64101 | + | 2.20425i | −0.140201 | + | 0.188322i | −0.866678 | − | 0.498869i | \(-0.833749\pi\) |
0.726477 | + | 0.687191i | \(0.241156\pi\) | |||||||
\(138\) | −7.34083 | + | 28.0333i | −0.624893 | + | 2.38636i | ||||
\(139\) | −2.48201 | − | 8.29049i | −0.210521 | − | 0.703190i | −0.996397 | − | 0.0848061i | \(-0.972973\pi\) |
0.785876 | − | 0.618384i | \(-0.212212\pi\) | |||||||
\(140\) | 0.412416 | − | 7.08091i | 0.0348555 | − | 0.598446i | ||||
\(141\) | 3.64858 | + | 10.8045i | 0.307266 | + | 0.909905i | ||||
\(142\) | −6.25241 | + | 1.48185i | −0.524691 | + | 0.124354i | ||||
\(143\) | 9.50165 | − | 7.97283i | 0.794568 | − | 0.666722i | ||||
\(144\) | −0.203267 | − | 0.816151i | −0.0169389 | − | 0.0680126i | ||||
\(145\) | 2.37495 | + | 1.99282i | 0.197229 | + | 0.165495i | ||||
\(146\) | −27.9187 | − | 14.0213i | −2.31057 | − | 1.16041i | ||||
\(147\) | 6.89445 | + | 11.0366i | 0.568645 | + | 0.910282i | ||||
\(148\) | −7.90666 | + | 18.3297i | −0.649923 | + | 1.50669i | ||||
\(149\) | 3.42365 | + | 4.59876i | 0.280476 | + | 0.376745i | 0.919929 | − | 0.392086i | \(-0.128246\pi\) |
−0.639452 | + | 0.768831i | \(0.720839\pi\) | |||||||
\(150\) | −17.0048 | + | 6.86784i | −1.38844 | + | 0.560757i | ||||
\(151\) | −0.103185 | − | 1.77162i | −0.00839708 | − | 0.144172i | −0.999901 | − | 0.0140931i | \(-0.995514\pi\) |
0.991504 | − | 0.130079i | \(-0.0415232\pi\) | |||||||
\(152\) | −1.04640 | + | 0.380860i | −0.0848746 | + | 0.0308918i | ||||
\(153\) | −0.0975204 | − | 8.57025i | −0.00788406 | − | 0.692864i | ||||
\(154\) | 40.6236 | + | 14.7858i | 3.27354 | + | 1.19147i | ||||
\(155\) | 0.494562 | − | 1.65195i | 0.0397241 | − | 0.132688i | ||||
\(156\) | −0.319602 | + | 13.6559i | −0.0255886 | + | 1.09335i | ||||
\(157\) | 8.49762 | − | 4.26766i | 0.678184 | − | 0.340597i | −0.0761421 | − | 0.997097i | \(-0.524260\pi\) |
0.754326 | + | 0.656500i | \(0.227964\pi\) | |||||||
\(158\) | 27.8114 | + | 6.59142i | 2.21256 | + | 0.524385i | ||||
\(159\) | −3.50124 | + | 2.48140i | −0.277666 | + | 0.196788i | ||||
\(160\) | −3.48040 | − | 0.406801i | −0.275150 | − | 0.0321604i | ||||
\(161\) | −28.0251 | −2.20868 | ||||||||
\(162\) | 5.42279 | − | 19.7374i | 0.426055 | − | 1.55071i | ||||
\(163\) | 7.38623 | 0.578534 | 0.289267 | − | 0.957248i | \(-0.406588\pi\) | ||||
0.289267 | + | 0.957248i | \(0.406588\pi\) | |||||||
\(164\) | 11.5025 | + | 1.34445i | 0.898195 | + | 0.104984i | ||||
\(165\) | 0.470783 | + | 5.05001i | 0.0366504 | + | 0.393142i | ||||
\(166\) | 4.64327 | + | 1.10047i | 0.360387 | + | 0.0854134i | ||||
\(167\) | −4.06906 | + | 2.04356i | −0.314873 | + | 0.158135i | −0.599216 | − | 0.800587i | \(-0.704521\pi\) |
0.284343 | + | 0.958723i | \(0.408225\pi\) | |||||||
\(168\) | −15.4395 | + | 8.43863i | −1.19118 | + | 0.651055i | ||||
\(169\) | 1.95610 | − | 6.53383i | 0.150469 | − | 0.502603i | ||||
\(170\) | −3.58329 | − | 1.30421i | −0.274826 | − | 0.100028i | ||||
\(171\) | 1.23617 | + | 0.203495i | 0.0945319 | + | 0.0155616i | ||||
\(172\) | 17.9378 | − | 6.52882i | 1.36774 | − | 0.497818i | ||||
\(173\) | −0.270624 | − | 4.64644i | −0.0205752 | − | 0.353262i | −0.992846 | − | 0.119404i | \(-0.961902\pi\) |
0.972271 | − | 0.233859i | \(-0.0751353\pi\) | |||||||
\(174\) | 2.89878 | − | 20.6067i | 0.219756 | − | 1.56219i | ||||
\(175\) | −10.5911 | − | 14.2264i | −0.800616 | − | 1.07541i | ||||
\(176\) | 0.554069 | − | 1.28448i | 0.0417645 | − | 0.0968210i | ||||
\(177\) | 3.76901 | − | 7.08628i | 0.283296 | − | 0.532637i | ||||
\(178\) | 0.702117 | + | 0.352616i | 0.0526259 | + | 0.0264297i | ||||
\(179\) | −2.66027 | − | 2.23223i | −0.198838 | − | 0.166845i | 0.537932 | − | 0.842988i | \(-0.319206\pi\) |
−0.736770 | + | 0.676143i | \(0.763650\pi\) | |||||||
\(180\) | −4.51796 | − | 3.28426i | −0.336749 | − | 0.244795i | ||||
\(181\) | −11.7147 | + | 9.82983i | −0.870749 | + | 0.730645i | −0.964256 | − | 0.264973i | \(-0.914637\pi\) |
0.0935067 | + | 0.995619i | \(0.470192\pi\) | |||||||
\(182\) | −20.9577 | + | 4.96707i | −1.55349 | + | 0.368183i | ||||
\(183\) | −19.3514 | − | 3.88110i | −1.43050 | − | 0.286899i | ||||
\(184\) | 1.14059 | − | 19.5832i | 0.0840854 | − | 1.44369i | ||||
\(185\) | −1.05911 | − | 3.53769i | −0.0778677 | − | 0.260096i | ||||
\(186\) | −11.1628 | + | 3.05924i | −0.818497 | + | 0.224314i | ||||
\(187\) | 8.51243 | − | 11.4342i | 0.622491 | − | 0.836150i | ||||
\(188\) | −10.4439 | − | 18.0893i | −0.761699 | − | 1.31930i | ||||
\(189\) | 19.7939 | + | 0.237956i | 1.43979 | + | 0.0173088i | ||||
\(190\) | 0.278694 | − | 0.482712i | 0.0202186 | − | 0.0350196i | ||||
\(191\) | 8.86716 | + | 20.5564i | 0.641605 | + | 1.48741i | 0.859342 | + | 0.511401i | \(0.170873\pi\) |
−0.217737 | + | 0.976007i | \(0.569867\pi\) | |||||||
\(192\) | 9.64568 | + | 20.3817i | 0.696117 | + | 1.47092i | ||||
\(193\) | 4.44198 | − | 4.70822i | 0.319740 | − | 0.338905i | −0.547490 | − | 0.836812i | \(-0.684417\pi\) |
0.867230 | + | 0.497907i | \(0.165898\pi\) | |||||||
\(194\) | −20.8457 | − | 13.7104i | −1.49664 | − | 0.984353i | ||||
\(195\) | −1.57853 | − | 1.97320i | −0.113041 | − | 0.141303i | ||||
\(196\) | −16.3566 | − | 17.3370i | −1.16833 | − | 1.23836i | ||||
\(197\) | 0.961298 | + | 5.45179i | 0.0684897 | + | 0.388424i | 0.999713 | + | 0.0239741i | \(0.00763191\pi\) |
−0.931223 | + | 0.364450i | \(0.881257\pi\) | |||||||
\(198\) | 27.0740 | − | 20.6387i | 1.92406 | − | 1.46673i | ||||
\(199\) | −2.91762 | + | 16.5467i | −0.206825 | + | 1.17296i | 0.687717 | + | 0.725979i | \(0.258613\pi\) |
−0.894542 | + | 0.446984i | \(0.852498\pi\) | |||||||
\(200\) | 10.3721 | − | 6.82182i | 0.733416 | − | 0.482375i | ||||
\(201\) | −7.65593 | + | 6.89165i | −0.540008 | + | 0.486099i | ||||
\(202\) | 4.00671 | − | 0.468317i | 0.281911 | − | 0.0329506i | ||||
\(203\) | 19.9888 | − | 2.33636i | 1.40294 | − | 0.163980i | ||||
\(204\) | 3.26193 | + | 15.3559i | 0.228381 | + | 1.07513i | ||||
\(205\) | −1.78990 | + | 1.17723i | −0.125012 | + | 0.0822215i | ||||
\(206\) | 6.94983 | − | 39.4144i | 0.484217 | − | 2.74613i | ||||
\(207\) | −11.9167 | + | 18.5754i | −0.828266 | + | 1.29108i | ||||
\(208\) | 0.121023 | + | 0.686358i | 0.00839146 | + | 0.0475903i | ||||
\(209\) | 1.42989 | + | 1.51559i | 0.0989075 | + | 0.104836i | ||||
\(210\) | 3.20504 | − | 8.20329i | 0.221169 | − | 0.566081i | ||||
\(211\) | 6.39159 | + | 4.20381i | 0.440015 | + | 0.289402i | 0.750122 | − | 0.661299i | \(-0.229995\pi\) |
−0.310107 | + | 0.950702i | \(0.600365\pi\) | |||||||
\(212\) | 5.39401 | − | 5.71732i | 0.370462 | − | 0.392667i | ||||
\(213\) | −4.87730 | − | 0.398762i | −0.334187 | − | 0.0273227i | ||||
\(214\) | 4.08948 | + | 9.48048i | 0.279551 | + | 0.648072i | ||||
\(215\) | −1.76564 | + | 3.05818i | −0.120416 | + | 0.208566i | ||||
\(216\) | −0.971867 | + | 13.8217i | −0.0661272 | + | 0.940451i | ||||
\(217\) | −5.59680 | − | 9.69394i | −0.379935 | − | 0.658068i | ||||
\(218\) | 5.29924 | − | 7.11811i | 0.358910 | − | 0.482099i | ||||
\(219\) | −16.9196 | − | 16.7281i | −1.14332 | − | 1.13038i | ||||
\(220\) | −2.66436 | − | 8.89957i | −0.179631 | − | 0.600009i | ||||
\(221\) | −0.412946 | + | 7.09001i | −0.0277777 | + | 0.476925i | ||||
\(222\) | −16.3726 | + | 18.6099i | −1.09886 | + | 1.24901i | ||||
\(223\) | −8.22968 | + | 1.95047i | −0.551100 | + | 0.130613i | −0.496726 | − | 0.867907i | \(-0.665465\pi\) |
−0.0543743 | + | 0.998521i | \(0.517316\pi\) | |||||||
\(224\) | −17.4246 | + | 14.6210i | −1.16423 | + | 0.976906i | ||||
\(225\) | −13.9330 | + | 0.970688i | −0.928864 | + | 0.0647125i | ||||
\(226\) | −22.7143 | − | 19.0596i | −1.51093 | − | 1.26782i | ||||
\(227\) | 23.8951 | + | 12.0005i | 1.58597 | + | 0.796504i | 0.999905 | − | 0.0137593i | \(-0.00437987\pi\) |
0.586065 | + | 0.810264i | \(0.300676\pi\) | |||||||
\(228\) | −2.29328 | + | 0.0797880i | −0.151876 | + | 0.00528409i | ||||
\(229\) | −1.21939 | + | 2.82687i | −0.0805797 | + | 0.186805i | −0.953743 | − | 0.300623i | \(-0.902805\pi\) |
0.873163 | + | 0.487428i | \(0.162065\pi\) | |||||||
\(230\) | 5.86343 | + | 7.87596i | 0.386623 | + | 0.519325i | ||||
\(231\) | 25.9414 | + | 20.2730i | 1.70682 | + | 1.33386i | ||||
\(232\) | 0.819062 | + | 14.0628i | 0.0537741 | + | 0.923265i | ||||
\(233\) | 6.67642 | − | 2.43002i | 0.437387 | − | 0.159196i | −0.113936 | − | 0.993488i | \(-0.536346\pi\) |
0.551322 | + | 0.834292i | \(0.314124\pi\) | |||||||
\(234\) | −5.61929 | + | 16.0031i | −0.367344 | + | 1.04616i | ||||
\(235\) | 3.63100 | + | 1.32158i | 0.236860 | + | 0.0862102i | ||||
\(236\) | −4.21633 | + | 14.0835i | −0.274460 | + | 0.916759i | ||||
\(237\) | 18.5911 | + | 11.3217i | 1.20762 | + | 0.735420i | ||||
\(238\) | −22.1202 | + | 11.1092i | −1.43384 | + | 0.720100i | ||||
\(239\) | 4.46240 | + | 1.05761i | 0.288649 | + | 0.0684110i | 0.372389 | − | 0.928077i | \(-0.378539\pi\) |
−0.0837406 | + | 0.996488i | \(0.526687\pi\) | |||||||
\(240\) | −0.258967 | − | 0.118969i | −0.0167162 | − | 0.00767943i | ||||
\(241\) | −6.11566 | − | 0.714818i | −0.393944 | − | 0.0460455i | −0.0831850 | − | 0.996534i | \(-0.526509\pi\) |
−0.310759 | + | 0.950489i | \(0.600583\pi\) | |||||||
\(242\) | 31.6035 | 2.03155 | ||||||||
\(243\) | 8.57437 | − | 13.0185i | 0.550046 | − | 0.835134i | ||||
\(244\) | 36.1505 | 2.31430 | ||||||||
\(245\) | 4.37944 | + | 0.511883i | 0.279792 | + | 0.0327030i | ||||
\(246\) | 13.0668 | + | 6.00289i | 0.833110 | + | 0.382730i | ||||
\(247\) | −1.01013 | − | 0.239405i | −0.0642728 | − | 0.0152329i | ||||
\(248\) | 7.00166 | − | 3.51636i | 0.444606 | − | 0.223289i | ||||
\(249\) | 3.10389 | + | 1.89021i | 0.196701 | + | 0.119787i | ||||
\(250\) | −3.69622 | + | 12.3462i | −0.233770 | + | 0.780845i | ||||
\(251\) | 27.6062 | + | 10.0478i | 1.74249 | + | 0.634213i | 0.999388 | − | 0.0349710i | \(-0.0111339\pi\) |
0.743097 | + | 0.669184i | \(0.233356\pi\) | |||||||
\(252\) | −35.6328 | + | 6.70194i | −2.24466 | + | 0.422182i | ||||
\(253\) | −34.4918 | + | 12.5540i | −2.16848 | + | 0.789263i | ||||
\(254\) | 1.08350 | + | 18.6030i | 0.0679848 | + | 1.16725i | ||||
\(255\) | −2.28821 | − | 1.78822i | −0.143293 | − | 0.111983i | ||||
\(256\) | −8.44533 | − | 11.3440i | −0.527833 | − | 0.709003i | ||||
\(257\) | −7.48866 | + | 17.3607i | −0.467130 | + | 1.08293i | 0.508012 | + | 0.861350i | \(0.330380\pi\) |
−0.975142 | + | 0.221579i | \(0.928879\pi\) | |||||||
\(258\) | 23.6882 | − | 0.824162i | 1.47476 | − | 0.0513101i | ||||
\(259\) | −21.4216 | − | 10.7583i | −1.33107 | − | 0.668489i | ||||
\(260\) | 3.54552 | + | 2.97505i | 0.219884 | + | 0.184505i | ||||
\(261\) | 6.95098 | − | 14.2423i | 0.430255 | − | 0.881578i | ||||
\(262\) | −3.02395 | + | 2.53739i | −0.186820 | + | 0.156761i | ||||
\(263\) | −14.2552 | + | 3.37854i | −0.879011 | + | 0.208330i | −0.645257 | − | 0.763966i | \(-0.723249\pi\) |
−0.233755 | + | 0.972296i | \(0.575101\pi\) | |||||||
\(264\) | −15.2220 | + | 17.3021i | −0.936850 | + | 1.06487i | ||||
\(265\) | −0.0845463 | + | 1.45160i | −0.00519364 | + | 0.0891713i | ||||
\(266\) | −1.03771 | − | 3.46618i | −0.0636259 | − | 0.212525i | ||||
\(267\) | 0.425504 | + | 0.420690i | 0.0260404 | + | 0.0257458i | ||||
\(268\) | 11.2668 | − | 15.1340i | 0.688230 | − | 0.924454i | ||||
\(269\) | −2.94518 | − | 5.10121i | −0.179571 | − | 0.311026i | 0.762163 | − | 0.647386i | \(-0.224138\pi\) |
−0.941734 | + | 0.336360i | \(0.890804\pi\) | |||||||
\(270\) | −4.07442 | − | 5.61251i | −0.247961 | − | 0.341566i | ||||
\(271\) | 11.5965 | − | 20.0857i | 0.704435 | − | 1.22012i | −0.262460 | − | 0.964943i | \(-0.584534\pi\) |
0.966895 | − | 0.255175i | \(-0.0821330\pi\) | |||||||
\(272\) | 0.317249 | + | 0.735466i | 0.0192361 | + | 0.0445942i | ||||
\(273\) | −16.3484 | − | 1.33662i | −0.989451 | − | 0.0808962i | ||||
\(274\) | 4.28891 | − | 4.54598i | 0.259102 | − | 0.274632i | ||||
\(275\) | −19.4078 | − | 12.7647i | −1.17034 | − | 0.769743i | ||||
\(276\) | 14.7103 | − | 37.6510i | 0.885458 | − | 2.26632i | ||||
\(277\) | 11.9673 | + | 12.6845i | 0.719042 | + | 0.762141i | 0.979084 | − | 0.203457i | \(-0.0652177\pi\) |
−0.260041 | + | 0.965597i | \(0.583736\pi\) | |||||||
\(278\) | 3.41774 | + | 19.3829i | 0.204982 | + | 1.16251i | ||||
\(279\) | −8.80512 | − | 0.412374i | −0.527149 | − | 0.0246882i | ||||
\(280\) | −1.03526 | + | 5.87124i | −0.0618685 | + | 0.350874i | ||||
\(281\) | 23.8835 | − | 15.7085i | 1.42477 | − | 0.937088i | 0.425286 | − | 0.905059i | \(-0.360174\pi\) |
0.999487 | − | 0.0320287i | \(-0.0101968\pi\) | |||||||
\(282\) | −5.38915 | − | 25.3700i | −0.320919 | − | 1.51076i | ||||
\(283\) | −17.6893 | + | 2.06758i | −1.05152 | + | 0.122905i | −0.624255 | − | 0.781221i | \(-0.714597\pi\) |
−0.427266 | + | 0.904126i | \(0.640523\pi\) | |||||||
\(284\) | 8.90260 | − | 1.04056i | 0.528272 | − | 0.0617462i | ||||
\(285\) | 0.315495 | − | 0.284000i | 0.0186883 | − | 0.0168227i | ||||
\(286\) | −23.5686 | + | 15.5013i | −1.39364 | + | 0.916613i | ||||
\(287\) | −2.41486 | + | 13.6953i | −0.142544 | + | 0.808410i | ||||
\(288\) | 2.28178 | + | 17.7663i | 0.134455 | + | 1.04689i | ||||
\(289\) | −1.53469 | − | 8.70366i | −0.0902758 | − | 0.511980i | ||||
\(290\) | −4.83868 | − | 5.12870i | −0.284137 | − | 0.301168i | ||||
\(291\) | −11.8700 | − | 14.8378i | −0.695833 | − | 0.869807i | ||||
\(292\) | 36.4104 | + | 23.9475i | 2.13076 | + | 1.40142i | ||||
\(293\) | −11.4158 | + | 12.1001i | −0.666921 | + | 0.706895i | −0.969186 | − | 0.246329i | \(-0.920776\pi\) |
0.302265 | + | 0.953224i | \(0.402257\pi\) | |||||||
\(294\) | −12.6601 | − | 26.7512i | −0.738351 | − | 1.56016i | ||||
\(295\) | −1.07716 | − | 2.49715i | −0.0627149 | − | 0.145389i | ||||
\(296\) | 8.38946 | − | 14.5310i | 0.487628 | − | 0.844596i | ||||
\(297\) | 24.4679 | − | 8.57391i | 1.41977 | − | 0.497509i | ||||
\(298\) | −6.51957 | − | 11.2922i | −0.377668 | − | 0.654141i | ||||
\(299\) | 10.9204 | − | 14.6686i | 0.631542 | − | 0.848308i | ||||
\(300\) | 24.6721 | − | 6.76154i | 1.42444 | − | 0.390378i | ||||
\(301\) | 6.57429 | + | 21.9597i | 0.378936 | + | 1.26573i | ||||
\(302\) | −0.234675 | + | 4.02921i | −0.0135040 | + | 0.231855i | ||||
\(303\) | 3.01219 | + | 0.604120i | 0.173046 | + | 0.0347058i | ||||
\(304\) | −0.113923 | + | 0.0270003i | −0.00653394 | + | 0.00154857i | ||||
\(305\) | −5.12291 | + | 4.29863i | −0.293337 | + | 0.246139i | ||||
\(306\) | −2.04252 | + | 19.3853i | −0.116763 | + | 1.10819i | ||||
\(307\) | −10.8094 | − | 9.07013i | −0.616923 | − | 0.517660i | 0.279912 | − | 0.960026i | \(-0.409695\pi\) |
−0.896835 | + | 0.442366i | \(0.854139\pi\) | |||||||
\(308\) | −53.8891 | − | 27.0641i | −3.07061 | − | 1.54212i | ||||
\(309\) | 14.3130 | − | 26.9104i | 0.814236 | − | 1.53088i | ||||
\(310\) | −1.55335 | + | 3.60106i | −0.0882241 | + | 0.204526i | ||||
\(311\) | −14.1216 | − | 18.9687i | −0.800765 | − | 1.07561i | −0.995500 | − | 0.0947585i | \(-0.969792\pi\) |
0.194735 | − | 0.980856i | \(-0.437615\pi\) | |||||||
\(312\) | 1.59936 | − | 11.3694i | 0.0905460 | − | 0.643668i | ||||
\(313\) | −0.475853 | − | 8.17008i | −0.0268968 | − | 0.461800i | −0.984687 | − | 0.174332i | \(-0.944223\pi\) |
0.957790 | − | 0.287468i | \(-0.0928136\pi\) | |||||||
\(314\) | −20.3223 | + | 7.39671i | −1.14685 | + | 0.417421i | ||||
\(315\) | 4.25263 | − | 5.18681i | 0.239609 | − | 0.292244i | ||||
\(316\) | −37.4649 | − | 13.6361i | −2.10756 | − | 0.767091i | ||||
\(317\) | 1.17547 | − | 3.92635i | 0.0660211 | − | 0.220526i | −0.918612 | − | 0.395160i | \(-0.870689\pi\) |
0.984633 | + | 0.174634i | \(0.0558743\pi\) | |||||||
\(318\) | 8.56421 | − | 4.68087i | 0.480257 | − | 0.262490i | ||||
\(319\) | 23.5546 | − | 11.8296i | 1.31881 | − | 0.662330i | ||||
\(320\) | 7.43437 | + | 1.76198i | 0.415594 | + | 0.0984975i | ||||
\(321\) | 0.729873 | + | 7.82921i | 0.0407375 | + | 0.436984i | ||||
\(322\) | 63.3066 | + | 7.39948i | 3.52794 | + | 0.412357i | ||||
\(323\) | −1.19306 | −0.0663836 | ||||||||
\(324\) | −10.7095 | + | 26.4677i | −0.594971 | + | 1.47043i | ||||
\(325\) | 11.5732 | 0.641968 | ||||||||
\(326\) | −16.6850 | − | 1.95019i | −0.924094 | − | 0.108011i | ||||
\(327\) | 5.51390 | − | 3.90781i | 0.304919 | − | 0.216103i | ||||
\(328\) | −9.47165 | − | 2.24482i | −0.522985 | − | 0.123950i | ||||
\(329\) | 22.4147 | − | 11.2571i | 1.23576 | − | 0.620623i | ||||
\(330\) | 0.269891 | − | 11.5319i | 0.0148570 | − | 0.634811i | ||||
\(331\) | 7.11160 | − | 23.7544i | 0.390889 | − | 1.30566i | −0.505667 | − | 0.862729i | \(-0.668754\pi\) |
0.896556 | − | 0.442931i | \(-0.146061\pi\) | |||||||
\(332\) | −6.25497 | − | 2.27662i | −0.343286 | − | 0.124946i | ||||
\(333\) | −16.2395 | + | 9.62391i | −0.889921 | + | 0.527387i | ||||
\(334\) | 9.73128 | − | 3.54190i | 0.532472 | − | 0.193804i | ||||
\(335\) | 0.202942 | + | 3.48437i | 0.0110879 | + | 0.190372i | ||||
\(336\) | −1.71533 | + | 0.692780i | −0.0935787 | + | 0.0377942i | ||||
\(337\) | 9.05372 | + | 12.1613i | 0.493187 | + | 0.662466i | 0.977132 | − | 0.212633i | \(-0.0682038\pi\) |
−0.483945 | + | 0.875099i | \(0.660796\pi\) | |||||||
\(338\) | −6.14383 | + | 14.2430i | −0.334180 | + | 0.774717i | ||||
\(339\) | −11.9640 | − | 19.1519i | −0.649797 | − | 1.04019i | ||||
\(340\) | 4.75339 | + | 2.38724i | 0.257789 | + | 0.129467i | ||||
\(341\) | −11.2307 | − | 9.42369i | −0.608177 | − | 0.510321i | ||||
\(342\) | −2.73868 | − | 0.786066i | −0.148091 | − | 0.0425056i | ||||
\(343\) | 1.49737 | − | 1.25644i | 0.0808503 | − | 0.0678415i | ||||
\(344\) | −15.6124 | + | 3.70021i | −0.841765 | + | 0.199502i | ||||
\(345\) | 2.39245 | + | 7.08475i | 0.128805 | + | 0.381430i | ||||
\(346\) | −0.615483 | + | 10.5674i | −0.0330886 | + | 0.568109i | ||||
\(347\) | −7.20514 | − | 24.0668i | −0.386792 | − | 1.29198i | −0.900817 | − | 0.434200i | \(-0.857031\pi\) |
0.514025 | − | 0.857775i | \(-0.328154\pi\) | |||||||
\(348\) | −7.35328 | + | 28.0809i | −0.394177 | + | 1.50529i | ||||
\(349\) | −10.3581 | + | 13.9134i | −0.554457 | + | 0.744765i | −0.987674 | − | 0.156524i | \(-0.949971\pi\) |
0.433217 | + | 0.901290i | \(0.357378\pi\) | |||||||
\(350\) | 20.1684 | + | 34.9328i | 1.07805 | + | 1.86724i | ||||
\(351\) | −7.83752 | + | 10.2676i | −0.418336 | + | 0.548044i | ||||
\(352\) | −14.8958 | + | 25.8002i | −0.793947 | + | 1.37516i | ||||
\(353\) | −8.60384 | − | 19.9459i | −0.457936 | − | 1.06162i | −0.978210 | − | 0.207616i | \(-0.933430\pi\) |
0.520274 | − | 0.853999i | \(-0.325830\pi\) | |||||||
\(354\) | −10.3849 | + | 15.0123i | −0.551952 | + | 0.797893i | ||||
\(355\) | −1.13786 | + | 1.20606i | −0.0603914 | + | 0.0640111i | ||||
\(356\) | −0.915670 | − | 0.602246i | −0.0485304 | − | 0.0319190i | ||||
\(357\) | −18.6364 | + | 2.83822i | −0.986343 | + | 0.150215i | ||||
\(358\) | 5.41998 | + | 5.74485i | 0.286455 | + | 0.303625i | ||||
\(359\) | 4.78039 | + | 27.1110i | 0.252299 | + | 1.43086i | 0.802911 | + | 0.596100i | \(0.203284\pi\) |
−0.550611 | + | 0.834762i | \(0.685605\pi\) | |||||||
\(360\) | 3.45133 | + | 3.18272i | 0.181901 | + | 0.167744i | ||||
\(361\) | −3.26903 | + | 18.5396i | −0.172054 | + | 0.975769i | ||||
\(362\) | 29.0581 | − | 19.1118i | 1.52726 | − | 1.00450i | ||||
\(363\) | 22.8894 | + | 7.44047i | 1.20138 | + | 0.390523i | ||||
\(364\) | 29.8410 | − | 3.48791i | 1.56409 | − | 0.182816i | ||||
\(365\) | −8.00732 | + | 0.935921i | −0.419122 | + | 0.0489884i | ||||
\(366\) | 42.6888 | + | 13.8765i | 2.23138 | + | 0.725336i | ||||
\(367\) | 20.3482 | − | 13.3832i | 1.06217 | − | 0.698597i | 0.106877 | − | 0.994272i | \(-0.465915\pi\) |
0.955289 | + | 0.295675i | \(0.0955445\pi\) | |||||||
\(368\) | 0.358141 | − | 2.03112i | 0.0186694 | − | 0.105879i | ||||
\(369\) | 8.05062 | + | 7.42406i | 0.419098 | + | 0.386481i | ||||
\(370\) | 1.45841 | + | 8.27103i | 0.0758189 | + | 0.429990i | ||||
\(371\) | 6.47730 | + | 6.86554i | 0.336285 | + | 0.356441i | ||||
\(372\) | 15.9613 | − | 2.43083i | 0.827557 | − | 0.126032i | ||||
\(373\) | −13.9298 | − | 9.16175i | −0.721256 | − | 0.474378i | 0.135055 | − | 0.990838i | \(-0.456879\pi\) |
−0.856311 | + | 0.516461i | \(0.827249\pi\) | |||||||
\(374\) | −22.2480 | + | 23.5815i | −1.15041 | + | 1.21937i | ||||
\(375\) | −5.58376 | + | 8.07179i | −0.288344 | + | 0.416825i | ||||
\(376\) | 6.95390 | + | 16.1210i | 0.358620 | + | 0.831375i | ||||
\(377\) | −6.56607 | + | 11.3728i | −0.338170 | + | 0.585727i | ||||
\(378\) | −44.6501 | − | 5.76372i | −2.29655 | − | 0.296454i | ||||
\(379\) | 1.03268 | + | 1.78866i | 0.0530454 | + | 0.0918773i | 0.891329 | − | 0.453357i | \(-0.149774\pi\) |
−0.838283 | + | 0.545235i | \(0.816441\pi\) | |||||||
\(380\) | −0.464297 | + | 0.623659i | −0.0238179 | + | 0.0319930i | ||||
\(381\) | −3.59499 | + | 13.7286i | −0.184177 | + | 0.703339i | ||||
\(382\) | −14.6028 | − | 48.7766i | −0.747143 | − | 2.49563i | ||||
\(383\) | 0.837893 | − | 14.3861i | 0.0428143 | − | 0.735093i | −0.906778 | − | 0.421607i | \(-0.861466\pi\) |
0.949593 | − | 0.313486i | \(-0.101497\pi\) | |||||||
\(384\) | −9.79010 | − | 28.9914i | −0.499599 | − | 1.47946i | ||||
\(385\) | 10.8548 | − | 2.57264i | 0.553213 | − | 0.131114i | ||||
\(386\) | −11.2772 | + | 9.46272i | −0.573996 | + | 0.481640i | ||||
\(387\) | 17.3507 | + | 4.98005i | 0.881984 | + | 0.253150i | ||||
\(388\) | 26.6612 | + | 22.3714i | 1.35352 | + | 1.13574i | ||||
\(389\) | −11.0295 | − | 5.53921i | −0.559217 | − | 0.280849i | 0.146656 | − | 0.989187i | \(-0.453149\pi\) |
−0.705873 | + | 0.708338i | \(0.749445\pi\) | |||||||
\(390\) | 3.04480 | + | 4.87409i | 0.154179 | + | 0.246809i | ||||
\(391\) | 8.32433 | − | 19.2980i | 0.420980 | − | 0.975941i | ||||
\(392\) | 11.9636 | + | 16.0698i | 0.604251 | + | 0.811650i | ||||
\(393\) | −2.78753 | + | 1.12582i | −0.140612 | + | 0.0567901i | ||||
\(394\) | −0.732062 | − | 12.5690i | −0.0368808 | − | 0.633218i | ||||
\(395\) | 6.93064 | − | 2.52255i | 0.348718 | − | 0.126923i | ||||
\(396\) | −40.8529 | + | 24.2103i | −2.05293 | + | 1.21662i | ||||
\(397\) | −18.0123 | − | 6.55594i | −0.904011 | − | 0.329033i | −0.152152 | − | 0.988357i | \(-0.548620\pi\) |
−0.751859 | + | 0.659324i | \(0.770843\pi\) | |||||||
\(398\) | 10.9595 | − | 36.6074i | 0.549352 | − | 1.83496i | ||||
\(399\) | 0.0644720 | − | 2.75476i | 0.00322763 | − | 0.137910i | ||||
\(400\) | 1.16641 | − | 0.585791i | 0.0583203 | − | 0.0292896i | ||||
\(401\) | 9.81214 | + | 2.32552i | 0.489995 | + | 0.116131i | 0.468184 | − | 0.883631i | \(-0.344909\pi\) |
0.0218113 | + | 0.999762i | \(0.493057\pi\) | |||||||
\(402\) | 19.1138 | − | 13.5463i | 0.953310 | − | 0.675630i | ||||
\(403\) | 7.25479 | + | 0.847963i | 0.361387 | + | 0.0422401i | ||||
\(404\) | −5.62708 | −0.279957 | ||||||||
\(405\) | −1.62961 | − | 5.02421i | −0.0809760 | − | 0.249655i | ||||
\(406\) | −45.7702 | −2.27154 | ||||||||
\(407\) | −31.1838 | − | 3.64487i | −1.54572 | − | 0.180669i | ||||
\(408\) | −1.22479 | − | 13.1381i | −0.0606364 | − | 0.650435i | ||||
\(409\) | −3.36707 | − | 0.798009i | −0.166491 | − | 0.0394590i | 0.146525 | − | 0.989207i | \(-0.453191\pi\) |
−0.313016 | + | 0.949748i | \(0.601339\pi\) | |||||||
\(410\) | 4.35407 | − | 2.18670i | 0.215032 | − | 0.107993i | ||||
\(411\) | 4.17659 | − | 2.28276i | 0.206016 | − | 0.112600i | ||||
\(412\) | −16.0117 | + | 53.4827i | −0.788838 | + | 2.63490i | ||||
\(413\) | −16.5889 | − | 6.03787i | −0.816287 | − | 0.297104i | ||||
\(414\) | 31.8234 | − | 38.8141i | 1.56403 | − | 1.90761i | ||||
\(415\) | 1.15711 | − | 0.421153i | 0.0568002 | − | 0.0206736i | ||||
\(416\) | −0.863022 | − | 14.8175i | −0.0423131 | − | 0.726489i | ||||
\(417\) | −2.08801 | + | 14.8431i | −0.102250 | + | 0.726870i | ||||
\(418\) | −2.82985 | − | 3.80115i | −0.138413 | − | 0.185920i | ||||
\(419\) | 2.30911 | − | 5.35311i | 0.112807 | − | 0.261517i | −0.852454 | − | 0.522801i | \(-0.824887\pi\) |
0.965262 | + | 0.261285i | \(0.0841462\pi\) | |||||||
\(420\) | −5.76899 | + | 10.8465i | −0.281498 | + | 0.529256i | ||||
\(421\) | 34.4545 | + | 17.3037i | 1.67921 | + | 0.843331i | 0.993290 | + | 0.115653i | \(0.0368961\pi\) |
0.685919 | + | 0.727677i | \(0.259400\pi\) | |||||||
\(422\) | −13.3282 | − | 11.1837i | −0.648807 | − | 0.544414i | ||||
\(423\) | 2.06972 | − | 19.6435i | 0.100633 | − | 0.955098i | ||||
\(424\) | −5.06108 | + | 4.24675i | −0.245788 | + | 0.206240i | ||||
\(425\) | 12.9422 | − | 3.06735i | 0.627787 | − | 0.148788i | ||||
\(426\) | 10.9122 | + | 2.18853i | 0.528697 | + | 0.106035i | ||||
\(427\) | −2.52410 | + | 43.3372i | −0.122150 | + | 2.09723i | ||||
\(428\) | −4.13065 | − | 13.7973i | −0.199663 | − | 0.666919i | ||||
\(429\) | −20.7195 | + | 5.67832i | −1.00035 | + | 0.274152i | ||||
\(430\) | 4.79590 | − | 6.44202i | 0.231279 | − | 0.310662i | ||||
\(431\) | −0.101111 | − | 0.175130i | −0.00487036 | − | 0.00843570i | 0.863580 | − | 0.504212i | \(-0.168217\pi\) |
−0.868450 | + | 0.495776i | \(0.834884\pi\) | |||||||
\(432\) | −0.270198 | + | 1.43152i | −0.0129999 | + | 0.0688741i | ||||
\(433\) | 4.03061 | − | 6.98122i | 0.193699 | − | 0.335496i | −0.752774 | − | 0.658279i | \(-0.771285\pi\) |
0.946473 | + | 0.322782i | \(0.104618\pi\) | |||||||
\(434\) | 10.0833 | + | 23.3757i | 0.484013 | + | 1.12207i | ||||
\(435\) | −2.29704 | − | 4.85374i | −0.110135 | − | 0.232719i | ||||
\(436\) | −8.49473 | + | 9.00389i | −0.406824 | + | 0.431208i | ||||
\(437\) | 2.56666 | + | 1.68812i | 0.122780 | + | 0.0807536i | ||||
\(438\) | 33.8034 | + | 42.2550i | 1.61519 | + | 2.01902i | ||||
\(439\) | 1.50008 | + | 1.58999i | 0.0715949 | + | 0.0758861i | 0.762181 | − | 0.647364i | \(-0.224129\pi\) |
−0.690586 | + | 0.723250i | \(0.742647\pi\) | |||||||
\(440\) | 1.35591 | + | 7.68978i | 0.0646407 | + | 0.366596i | ||||
\(441\) | −2.87120 | − | 22.3556i | −0.136724 | − | 1.06455i | ||||
\(442\) | 2.80480 | − | 15.9068i | 0.133411 | − | 0.756609i | ||||
\(443\) | −27.0350 | + | 17.7812i | −1.28447 | + | 0.844809i | −0.993710 | − | 0.111987i | \(-0.964279\pi\) |
−0.290760 | + | 0.956796i | \(0.593908\pi\) | |||||||
\(444\) | 25.6977 | − | 23.1323i | 1.21956 | − | 1.09781i | ||||
\(445\) | 0.201373 | − | 0.0235371i | 0.00954600 | − | 0.00111577i | ||||
\(446\) | 19.1052 | − | 2.23308i | 0.904660 | − | 0.105740i | ||||
\(447\) | −2.06337 | − | 9.71352i | −0.0975939 | − | 0.459434i | ||||
\(448\) | 41.4366 | − | 27.2533i | 1.95770 | − | 1.28760i | ||||
\(449\) | −6.74854 | + | 38.2728i | −0.318483 | + | 1.80621i | 0.233505 | + | 0.972356i | \(0.424980\pi\) |
−0.551988 | + | 0.833852i | \(0.686131\pi\) | |||||||
\(450\) | 31.7299 | + | 1.48602i | 1.49576 | + | 0.0700515i | ||||
\(451\) | 3.16282 | + | 17.9373i | 0.148931 | + | 0.844632i | ||||
\(452\) | 28.3838 | + | 30.0851i | 1.33506 | + | 1.41508i | ||||
\(453\) | −1.11857 | + | 2.86298i | −0.0525551 | + | 0.134514i | ||||
\(454\) | −50.8087 | − | 33.4174i | −2.38457 | − | 1.56836i | ||||
\(455\) | −3.81404 | + | 4.04265i | −0.178805 | + | 0.189522i | ||||
\(456\) | 1.92233 | + | 0.157167i | 0.0900212 | + | 0.00736002i | ||||
\(457\) | −11.6944 | − | 27.1107i | −0.547042 | − | 1.26819i | −0.937635 | − | 0.347622i | \(-0.886989\pi\) |
0.390592 | − | 0.920564i | \(-0.372270\pi\) | |||||||
\(458\) | 3.50090 | − | 6.06374i | 0.163586 | − | 0.283340i | ||||
\(459\) | −6.04326 | + | 13.5593i | −0.282075 | + | 0.632895i | ||||
\(460\) | −6.84827 | − | 11.8616i | −0.319302 | − | 0.553048i | ||||
\(461\) | −12.8534 | + | 17.2652i | −0.598644 | + | 0.804118i | −0.993404 | − | 0.114666i | \(-0.963420\pi\) |
0.394760 | + | 0.918784i | \(0.370828\pi\) | |||||||
\(462\) | −53.2470 | − | 52.6446i | −2.47727 | − | 2.44925i | ||||
\(463\) | 10.0209 | + | 33.4722i | 0.465712 | + | 1.55559i | 0.792126 | + | 0.610358i | \(0.208974\pi\) |
−0.326414 | + | 0.945227i | \(0.605840\pi\) | |||||||
\(464\) | −0.0861157 | + | 1.47855i | −0.00399782 | + | 0.0686400i | ||||
\(465\) | −1.97284 | + | 2.24243i | −0.0914885 | + | 0.103990i | ||||
\(466\) | −15.7232 | + | 3.72646i | −0.728361 | + | 0.172625i | ||||
\(467\) | 19.2365 | − | 16.1414i | 0.890161 | − | 0.746933i | −0.0780818 | − | 0.996947i | \(-0.524880\pi\) |
0.968242 | + | 0.250014i | \(0.0804351\pi\) | |||||||
\(468\) | 10.3770 | − | 21.2621i | 0.479677 | − | 0.982842i | ||||
\(469\) | 17.3559 | + | 14.5633i | 0.801422 | + | 0.672473i | ||||
\(470\) | −7.85324 | − | 3.94405i | −0.362243 | − | 0.181925i | ||||
\(471\) | −16.4602 | + | 0.572686i | −0.758448 | + | 0.0263880i | ||||
\(472\) | 4.89426 | − | 11.3462i | 0.225277 | − | 0.522250i | ||||
\(473\) | 17.9283 | + | 24.0818i | 0.824343 | + | 1.10728i | ||||
\(474\) | −39.0067 | − | 30.4834i | −1.79164 | − | 1.40015i | ||||
\(475\) | 0.113044 | + | 1.94088i | 0.00518680 | + | 0.0890539i | ||||
\(476\) | 32.4462 | − | 11.8095i | 1.48717 | − | 0.541286i | ||||
\(477\) | 7.30482 | − | 1.37391i | 0.334465 | − | 0.0629072i | ||||
\(478\) | −9.80101 | − | 3.56728i | −0.448288 | − | 0.163163i | ||||
\(479\) | −2.81409 | + | 9.39972i | −0.128579 | + | 0.429484i | −0.997901 | − | 0.0647627i | \(-0.979371\pi\) |
0.869322 | + | 0.494247i | \(0.164556\pi\) | |||||||
\(480\) | 5.18370 | + | 3.15678i | 0.236602 | + | 0.144087i | ||||
\(481\) | 13.9783 | − | 7.02014i | 0.637353 | − | 0.320091i | ||||
\(482\) | 13.6261 | + | 3.22945i | 0.620652 | + | 0.147097i | ||||
\(483\) | 44.1089 | + | 20.2636i | 2.00703 | + | 0.922027i | ||||
\(484\) | −43.7862 | − | 5.11787i | −1.99028 | − | 0.232630i | ||||
\(485\) | −6.43835 | −0.292350 | ||||||||
\(486\) | −22.8062 | + | 27.1439i | −1.03451 | + | 1.23127i | ||||
\(487\) | −17.0318 | −0.771785 | −0.385892 | − | 0.922544i | \(-0.626106\pi\) | ||||
−0.385892 | + | 0.922544i | \(0.626106\pi\) | |||||||
\(488\) | −30.1802 | − | 3.52756i | −1.36619 | − | 0.159685i | ||||
\(489\) | −11.6253 | − | 5.34064i | −0.525712 | − | 0.241512i | ||||
\(490\) | −9.75770 | − | 2.31262i | −0.440808 | − | 0.104473i | ||||
\(491\) | 7.51489 | − | 3.77412i | 0.339142 | − | 0.170324i | −0.271074 | − | 0.962559i | \(-0.587379\pi\) |
0.610216 | + | 0.792235i | \(0.291083\pi\) | |||||||
\(492\) | −17.1318 | − | 10.4330i | −0.772361 | − | 0.470355i | ||||
\(493\) | −4.32851 | + | 14.4582i | −0.194946 | + | 0.651166i | ||||
\(494\) | 2.21860 | + | 0.807503i | 0.0998193 | + | 0.0363313i | ||||
\(495\) | 2.91045 | − | 8.28866i | 0.130815 | − | 0.372547i | ||||
\(496\) | 0.774093 | − | 0.281747i | 0.0347578 | − | 0.0126508i | ||||
\(497\) | 0.625830 | + | 10.7451i | 0.0280723 | + | 0.481983i | ||||
\(498\) | −6.51238 | − | 5.08938i | −0.291827 | − | 0.228061i | ||||
\(499\) | 14.4290 | + | 19.3816i | 0.645932 | + | 0.867638i | 0.997653 | − | 0.0684670i | \(-0.0218108\pi\) |
−0.351721 | + | 0.936105i | \(0.614403\pi\) | |||||||
\(500\) | 7.12042 | − | 16.5070i | 0.318435 | − | 0.738215i | ||||
\(501\) | 7.88194 | − | 0.274229i | 0.352139 | − | 0.0122516i | ||||
\(502\) | −59.7074 | − | 29.9862i | −2.66487 | − | 1.33835i | ||||
\(503\) | 2.81544 | + | 2.36243i | 0.125534 | + | 0.105336i | 0.703393 | − | 0.710801i | \(-0.251667\pi\) |
−0.577859 | + | 0.816136i | \(0.696112\pi\) | |||||||
\(504\) | 30.4020 | − | 2.11806i | 1.35421 | − | 0.0943459i | ||||
\(505\) | 0.797417 | − | 0.669112i | 0.0354846 | − | 0.0297751i | ||||
\(506\) | 81.2292 | − | 19.2517i | 3.61108 | − | 0.855841i | ||||
\(507\) | −7.80304 | + | 8.86930i | −0.346545 | + | 0.393899i | ||||
\(508\) | 1.51139 | − | 25.9496i | 0.0670572 | − | 1.15133i | ||||
\(509\) | −8.42391 | − | 28.1378i | −0.373383 | − | 1.24719i | −0.913930 | − | 0.405872i | \(-0.866968\pi\) |
0.540547 | − | 0.841314i | \(-0.318217\pi\) | |||||||
\(510\) | 4.69676 | + | 4.64362i | 0.207976 | + | 0.205623i | ||||
\(511\) | −31.2505 | + | 41.9767i | −1.38244 | + | 1.85694i | ||||
\(512\) | −1.58458 | − | 2.74458i | −0.0700293 | − | 0.121294i | ||||
\(513\) | −1.79848 | − | 1.21410i | −0.0794046 | − | 0.0536037i | ||||
\(514\) | 21.5001 | − | 37.2393i | 0.948329 | − | 1.64255i | ||||
\(515\) | −4.09057 | − | 9.48301i | −0.180252 | − | 0.417871i | ||||
\(516\) | −32.9532 | − | 2.69421i | −1.45068 | − | 0.118606i | ||||
\(517\) | 22.5442 | − | 23.8955i | 0.991493 | − | 1.05092i | ||||
\(518\) | 45.5493 | + | 29.9582i | 2.00132 | + | 1.31629i | ||||
\(519\) | −2.93369 | + | 7.50876i | −0.128775 | + | 0.329598i | ||||
\(520\) | −2.66967 | − | 2.82968i | −0.117073 | − | 0.124090i | ||||
\(521\) | −6.02463 | − | 34.1674i | −0.263944 | − | 1.49690i | −0.772026 | − | 0.635591i | \(-0.780757\pi\) |
0.508083 | − | 0.861308i | \(-0.330354\pi\) | |||||||
\(522\) | −19.4622 | + | 30.3371i | −0.851837 | + | 1.32782i | ||||
\(523\) | 5.01556 | − | 28.4447i | 0.219315 | − | 1.24380i | −0.653944 | − | 0.756543i | \(-0.726887\pi\) |
0.873259 | − | 0.487256i | \(-0.162002\pi\) | |||||||
\(524\) | 4.60054 | − | 3.02582i | 0.200976 | − | 0.132184i | ||||
\(525\) | 6.38308 | + | 30.0490i | 0.278580 | + | 1.31145i | ||||
\(526\) | 33.0935 | − | 3.86807i | 1.44294 | − | 0.168656i | ||||
\(527\) | 8.33765 | − | 0.974531i | 0.363194 | − | 0.0424512i | ||||
\(528\) | −1.80080 | + | 1.62103i | −0.0783697 | + | 0.0705462i | ||||
\(529\) | −25.9978 | + | 17.0990i | −1.13034 | + | 0.743436i | ||||
\(530\) | 0.574252 | − | 3.25675i | 0.0249439 | − | 0.141464i | ||||
\(531\) | −11.0558 | + | 8.42797i | −0.479783 | + | 0.365743i | ||||
\(532\) | 0.876415 | + | 4.97039i | 0.0379974 | + | 0.215494i | ||||
\(533\) | −6.22730 | − | 6.60055i | −0.269734 | − | 0.285902i | ||||
\(534\) | −0.850108 | − | 1.06265i | −0.0367878 | − | 0.0459855i | ||||
\(535\) | 2.22599 | + | 1.46406i | 0.0962379 | + | 0.0632967i | ||||
\(536\) | −10.8828 | + | 11.5351i | −0.470067 | + | 0.498242i | ||||
\(537\) | 2.57300 | + | 5.43685i | 0.111033 | + | 0.234617i | ||||
\(538\) | 5.30608 | + | 12.3009i | 0.228761 | + | 0.530329i | ||||
\(539\) | 18.7436 | − | 32.4648i | 0.807343 | − | 1.39836i | ||||
\(540\) | 4.73616 | + | 8.43586i | 0.203812 | + | 0.363022i | ||||
\(541\) | 4.28774 | + | 7.42658i | 0.184344 | + | 0.319294i | 0.943355 | − | 0.331784i | \(-0.107650\pi\) |
−0.759011 | + | 0.651078i | \(0.774317\pi\) | |||||||
\(542\) | −31.4988 | + | 42.3103i | −1.35299 | + | 1.81738i | ||||
\(543\) | 25.5454 | − | 7.00088i | 1.09626 | − | 0.300437i | ||||
\(544\) | −4.89231 | − | 16.3414i | −0.209756 | − | 0.700633i | ||||
\(545\) | 0.133147 | − | 2.28605i | 0.00570340 | − | 0.0979236i | ||||
\(546\) | 36.5770 | + | 7.33583i | 1.56535 | + | 0.313944i | ||||
\(547\) | −24.5033 | + | 5.80740i | −1.04769 | + | 0.248306i | −0.718188 | − | 0.695849i | \(-0.755028\pi\) |
−0.329499 | + | 0.944156i | \(0.606880\pi\) | |||||||
\(548\) | −6.67840 | + | 5.60384i | −0.285287 | + | 0.239384i | ||||
\(549\) | 27.6512 | + | 20.1006i | 1.18012 | + | 0.857874i | ||||
\(550\) | 40.4706 | + | 33.9589i | 1.72567 | + | 1.44801i | ||||
\(551\) | −1.97140 | − | 0.990074i | −0.0839844 | − | 0.0421786i | ||||
\(552\) | −15.9549 | + | 29.9975i | −0.679085 | + | 1.27678i | ||||
\(553\) | 18.9628 | − | 43.9608i | 0.806382 | − | 1.86940i | ||||
\(554\) | −23.6841 | − | 31.8132i | −1.00624 | − | 1.35161i | ||||
\(555\) | −0.890988 | + | 6.33380i | −0.0378203 | + | 0.268855i | ||||
\(556\) | −1.59635 | − | 27.4083i | −0.0677004 | − | 1.16237i | ||||
\(557\) | −15.3188 | + | 5.57558i | −0.649077 | + | 0.236245i | −0.645514 | − | 0.763749i | \(-0.723357\pi\) |
−0.00356379 | + | 0.999994i | \(0.501134\pi\) | |||||||
\(558\) | 19.7813 | + | 3.25635i | 0.837408 | + | 0.137852i | ||||
\(559\) | −14.0557 | − | 5.11586i | −0.594493 | − | 0.216378i | ||||
\(560\) | −0.179774 | + | 0.600489i | −0.00759686 | + | 0.0253753i | ||||
\(561\) | −21.6653 | + | 11.8414i | −0.914711 | + | 0.499945i | ||||
\(562\) | −58.0988 | + | 29.1783i | −2.45075 | + | 1.23081i | ||||
\(563\) | −42.5690 | − | 10.0890i | −1.79407 | − | 0.425202i | −0.807678 | − | 0.589624i | \(-0.799276\pi\) |
−0.986390 | + | 0.164422i | \(0.947424\pi\) | |||||||
\(564\) | 3.35817 | + | 36.0225i | 0.141405 | + | 1.51682i | ||||
\(565\) | −7.59970 | − | 0.888277i | −0.319722 | − | 0.0373701i | ||||
\(566\) | 40.5048 | 1.70254 | ||||||||
\(567\) | −30.9817 | − | 14.6865i | −1.30111 | − | 0.616777i | ||||
\(568\) | −7.53386 | −0.316114 | ||||||||
\(569\) | 34.0002 | + | 3.97406i | 1.42536 | + | 0.166601i | 0.793543 | − | 0.608514i | \(-0.208234\pi\) |
0.631820 | + | 0.775115i | \(0.282308\pi\) | |||||||
\(570\) | −0.787666 | + | 0.558234i | −0.0329917 | + | 0.0233819i | ||||
\(571\) | −31.5076 | − | 7.46744i | −1.31855 | − | 0.312503i | −0.489662 | − | 0.871913i | \(-0.662880\pi\) |
−0.828891 | + | 0.559410i | \(0.811028\pi\) | |||||||
\(572\) | 35.1643 | − | 17.6602i | 1.47029 | − | 0.738409i | ||||
\(573\) | 0.907259 | − | 38.7654i | 0.0379013 | − | 1.61945i | ||||
\(574\) | 9.07098 | − | 30.2992i | 0.378615 | − | 1.26466i | ||||
\(575\) | −32.1829 | − | 11.7136i | −1.34212 | − | 0.488492i | ||||
\(576\) | −0.444385 | − | 39.0533i | −0.0185161 | − | 1.62722i | ||||
\(577\) | 43.0486 | − | 15.6684i | 1.79214 | − | 0.652285i | 0.793069 | − | 0.609132i | \(-0.208482\pi\) |
0.999068 | − | 0.0431527i | \(-0.0137402\pi\) | |||||||
\(578\) | 1.16872 | + | 20.0661i | 0.0486123 | + | 0.834642i | ||||
\(579\) | −10.3956 | + | 4.19853i | −0.432025 | + | 0.174485i | ||||
\(580\) | 5.87338 | + | 7.88932i | 0.243879 | + | 0.327586i | ||||
\(581\) | 3.16595 | − | 7.33950i | 0.131346 | − | 0.304494i | ||||
\(582\) | 22.8959 | + | 36.6516i | 0.949066 | + | 1.51926i | ||||
\(583\) | 11.0474 | + | 5.54821i | 0.457536 | + | 0.229783i | ||||
\(584\) | −28.0603 | − | 23.5454i | −1.16115 | − | 0.974317i | ||||
\(585\) | 1.05773 | + | 4.24699i | 0.0437319 | + | 0.175592i | ||||
\(586\) | 28.9824 | − | 24.3191i | 1.19725 | − | 1.00461i | ||||
\(587\) | −41.8805 | + | 9.92587i | −1.72859 | + | 0.409684i | −0.970238 | − | 0.242155i | \(-0.922146\pi\) |
−0.758357 | + | 0.651840i | \(0.773998\pi\) | |||||||
\(588\) | 13.2083 | + | 39.1136i | 0.544700 | + | 1.61302i | ||||
\(589\) | −0.0713448 | + | 1.22494i | −0.00293971 | + | 0.0504729i | ||||
\(590\) | 1.77391 | + | 5.92528i | 0.0730308 | + | 0.243940i | ||||
\(591\) | 2.42894 | − | 9.27570i | 0.0999133 | − | 0.381551i | ||||
\(592\) | 1.05346 | − | 1.41505i | 0.0432971 | − | 0.0581581i | ||||
\(593\) | 13.5379 | + | 23.4484i | 0.555935 | + | 0.962909i | 0.997830 | + | 0.0658415i | \(0.0209732\pi\) |
−0.441895 | + | 0.897067i | \(0.645693\pi\) | |||||||
\(594\) | −57.5349 | + | 12.9076i | −2.36069 | + | 0.529605i | ||||
\(595\) | −3.19372 | + | 5.53169i | −0.130930 | + | 0.226777i | ||||
\(596\) | 7.20411 | + | 16.7010i | 0.295092 | + | 0.684100i | ||||
\(597\) | 16.5562 | − | 23.9334i | 0.677600 | − | 0.979528i | ||||
\(598\) | −28.5413 | + | 30.2521i | −1.16714 | + | 1.23710i | ||||
\(599\) | 1.69475 | + | 1.11465i | 0.0692454 | + | 0.0455434i | 0.583660 | − | 0.811998i | \(-0.301620\pi\) |
−0.514414 | + | 0.857542i | \(0.671991\pi\) | |||||||
\(600\) | −21.2573 | + | 3.23737i | −0.867824 | + | 0.132165i | ||||
\(601\) | −5.38365 | − | 5.70633i | −0.219604 | − | 0.232766i | 0.608201 | − | 0.793783i | \(-0.291892\pi\) |
−0.827804 | + | 0.561017i | \(0.810410\pi\) | |||||||
\(602\) | −9.05283 | − | 51.3412i | −0.368966 | − | 2.09251i | ||||
\(603\) | 17.0328 | − | 5.31119i | 0.693628 | − | 0.216288i | ||||
\(604\) | 0.977629 | − | 5.54441i | 0.0397792 | − | 0.225599i | ||||
\(605\) | 6.81353 | − | 4.48133i | 0.277009 | − | 0.182192i | ||||
\(606\) | −6.64481 | − | 2.15997i | −0.269927 | − | 0.0877430i | ||||
\(607\) | 20.4503 | − | 2.39030i | 0.830054 | − | 0.0970194i | 0.309555 | − | 0.950882i | \(-0.399820\pi\) |
0.520499 | + | 0.853862i | \(0.325746\pi\) | |||||||
\(608\) | 2.47653 | − | 0.289465i | 0.100437 | − | 0.0117394i | ||||
\(609\) | −33.1499 | − | 10.7758i | −1.34330 | − | 0.436657i | ||||
\(610\) | 12.7073 | − | 8.35770i | 0.514502 | − | 0.338393i | ||||
\(611\) | −2.84214 | + | 16.1186i | −0.114981 | + | 0.652089i | ||||
\(612\) | 5.96915 | − | 26.5274i | 0.241288 | − | 1.07230i | ||||
\(613\) | −0.250445 | − | 1.42034i | −0.0101154 | − | 0.0573671i | 0.979332 | − | 0.202258i | \(-0.0648280\pi\) |
−0.989448 | + | 0.144891i | \(0.953717\pi\) | |||||||
\(614\) | 22.0228 | + | 23.3428i | 0.888767 | + | 0.942038i | ||||
\(615\) | 3.66834 | − | 0.558668i | 0.147922 | − | 0.0225277i | ||||
\(616\) | 42.3483 | + | 27.8529i | 1.70626 | + | 1.12223i | ||||
\(617\) | −2.32886 | + | 2.46844i | −0.0937562 | + | 0.0993758i | −0.772553 | − | 0.634951i | \(-0.781020\pi\) |
0.678796 | + | 0.734326i | \(0.262502\pi\) | |||||||
\(618\) | −39.4371 | + | 57.0097i | −1.58639 | + | 2.29327i | ||||
\(619\) | 12.2540 | + | 28.4079i | 0.492529 | + | 1.14181i | 0.965422 | + | 0.260691i | \(0.0839504\pi\) |
−0.472893 | + | 0.881120i | \(0.656790\pi\) | |||||||
\(620\) | 2.73530 | − | 4.73767i | 0.109852 | − | 0.190269i | ||||
\(621\) | 32.1868 | − | 20.6196i | 1.29161 | − | 0.827436i | ||||
\(622\) | 26.8915 | + | 46.5774i | 1.07825 | + | 1.86758i | ||||
\(623\) | 0.785906 | − | 1.05566i | 0.0314867 | − | 0.0422939i | ||||
\(624\) | 0.305794 | − | 1.16777i | 0.0122415 | − | 0.0467483i | ||||
\(625\) | −5.72238 | − | 19.1141i | −0.228895 | − | 0.764563i | ||||
\(626\) | −1.08224 | + | 18.5813i | −0.0432548 | + | 0.742657i | ||||
\(627\) | −1.15466 | − | 3.41929i | −0.0461127 | − | 0.136553i | ||||
\(628\) | 29.3541 | − | 6.95705i | 1.17136 | − | 0.277617i | ||||
\(629\) | 13.7710 | − | 11.5553i | 0.549087 | − | 0.460739i | ||||
\(630\) | −10.9759 | + | 10.5938i | −0.437289 | + | 0.422068i | ||||
\(631\) | 25.7219 | + | 21.5833i | 1.02397 | + | 0.859217i | 0.990122 | − | 0.140210i | \(-0.0447778\pi\) |
0.0338527 | + | 0.999427i | \(0.489222\pi\) | |||||||
\(632\) | 29.9469 | + | 15.0399i | 1.19122 | + | 0.598255i | ||||
\(633\) | −7.02020 | − | 11.2379i | −0.279028 | − | 0.446666i | ||||
\(634\) | −3.69199 | + | 8.55899i | −0.146628 | + | 0.339921i | ||||
\(635\) | 2.87147 | + | 3.85706i | 0.113951 | + | 0.153063i | ||||
\(636\) | −12.6236 | + | 5.09839i | −0.500559 | + | 0.202164i | ||||
\(637\) | 1.08595 | + | 18.6451i | 0.0430271 | + | 0.738746i | ||||
\(638\) | −56.3316 | + | 20.5030i | −2.23019 | + | 0.811723i | ||||
\(639\) | 7.38810 | + | 4.15416i | 0.292269 | + | 0.164336i | ||||
\(640\) | −9.74295 | − | 3.54614i | −0.385124 | − | 0.140174i | ||||
\(641\) | 4.62316 | − | 15.4424i | 0.182604 | − | 0.609939i | −0.816849 | − | 0.576852i | \(-0.804281\pi\) |
0.999452 | − | 0.0330871i | \(-0.0105339\pi\) | |||||||
\(642\) | 0.418422 | − | 17.8783i | 0.0165138 | − | 0.705602i | ||||
\(643\) | 6.71080 | − | 3.37029i | 0.264648 | − | 0.132911i | −0.311528 | − | 0.950237i | \(-0.600841\pi\) |
0.576176 | + | 0.817326i | \(0.304544\pi\) | |||||||
\(644\) | −86.5122 | − | 20.5038i | −3.40906 | − | 0.807962i | ||||
\(645\) | 4.99018 | − | 3.53664i | 0.196488 | − | 0.139255i | ||||
\(646\) | 2.69504 | + | 0.315004i | 0.106035 | + | 0.0123937i | ||||
\(647\) | 18.2475 | 0.717384 | 0.358692 | − | 0.933456i | \(-0.383223\pi\) | ||||
0.358692 | + | 0.933456i | \(0.383223\pi\) | |||||||
\(648\) | 11.5235 | − | 21.0515i | 0.452686 | − | 0.826980i | ||||
\(649\) | −23.1215 | −0.907598 | ||||||||
\(650\) | −26.1431 | − | 3.05569i | −1.02542 | − | 0.119854i | ||||
\(651\) | 1.79962 | + | 19.3042i | 0.0705327 | + | 0.756590i | ||||
\(652\) | 22.8010 | + | 5.40393i | 0.892955 | + | 0.211634i | ||||
\(653\) | −7.60519 | + | 3.81947i | −0.297614 | + | 0.149467i | −0.591340 | − | 0.806422i | \(-0.701401\pi\) |
0.293726 | + | 0.955890i | \(0.405105\pi\) | |||||||
\(654\) | −13.4873 | + | 7.37163i | −0.527395 | + | 0.288254i | ||||
\(655\) | −0.292147 | + | 0.975840i | −0.0114151 | + | 0.0381292i | ||||
\(656\) | −0.961710 | − | 0.350034i | −0.0375485 | − | 0.0136665i | ||||
\(657\) | 14.5345 | + | 38.5624i | 0.567047 | + | 1.50446i | ||||
\(658\) | −53.6055 | + | 19.5108i | −2.08976 | + | 0.760610i | ||||
\(659\) | 0.765204 | + | 13.1380i | 0.0298081 | + | 0.511785i | 0.979859 | + | 0.199690i | \(0.0639936\pi\) |
−0.950051 | + | 0.312095i | \(0.898969\pi\) | |||||||
\(660\) | −2.24141 | + | 15.9336i | −0.0872467 | + | 0.620214i | ||||
\(661\) | −6.93248 | − | 9.31194i | −0.269642 | − | 0.362193i | 0.646591 | − | 0.762836i | \(-0.276194\pi\) |
−0.916234 | + | 0.400644i | \(0.868786\pi\) | |||||||
\(662\) | −22.3365 | + | 51.7818i | −0.868132 | + | 2.01256i | ||||
\(663\) | 5.77639 | − | 10.8604i | 0.224337 | − | 0.421785i | ||||
\(664\) | 4.99980 | + | 2.51099i | 0.194030 | + | 0.0974455i | ||||
\(665\) | −0.715224 | − | 0.600144i | −0.0277352 | − | 0.0232726i | ||||
\(666\) | 39.2250 | − | 17.4520i | 1.51994 | − | 0.676251i | ||||
\(667\) | 29.7697 | − | 24.9797i | 1.15269 | − | 0.967219i | ||||
\(668\) | −14.0561 | + | 3.33137i | −0.543848 | + | 0.128894i | ||||
\(669\) | 14.3631 | + | 2.88064i | 0.555308 | + | 0.111372i | ||||
\(670\) | 0.461552 | − | 7.92454i | 0.0178313 | − | 0.306152i | ||||
\(671\) | 16.3066 | + | 54.4679i | 0.629510 | + | 2.10271i | ||||
\(672\) | 37.9965 | − | 10.4132i | 1.46575 | − | 0.401697i | ||||
\(673\) | 23.9914 | − | 32.2260i | 0.924799 | − | 1.24222i | −0.0451666 | − | 0.998979i | \(-0.514382\pi\) |
0.969966 | − | 0.243241i | \(-0.0782107\pi\) | |||||||
\(674\) | −17.2408 | − | 29.8619i | −0.664089 | − | 1.15024i | ||||
\(675\) | 22.6311 | + | 8.54650i | 0.871071 | + | 0.328955i | ||||
\(676\) | 10.8187 | − | 18.7385i | 0.416104 | − | 0.720713i | ||||
\(677\) | −5.42585 | − | 12.5785i | −0.208532 | − | 0.483432i | 0.781563 | − | 0.623826i | \(-0.214423\pi\) |
−0.990096 | + | 0.140393i | \(0.955163\pi\) | |||||||
\(678\) | 21.9692 | + | 46.4217i | 0.843721 | + | 1.78281i | ||||
\(679\) | −28.6804 | + | 30.3994i | −1.10065 | + | 1.16662i | ||||
\(680\) | −3.73542 | − | 2.45682i | −0.143247 | − | 0.0942148i | ||||
\(681\) | −28.9316 | − | 36.1652i | −1.10866 | − | 1.38585i | ||||
\(682\) | 22.8812 | + | 24.2527i | 0.876168 | + | 0.928684i | ||||
\(683\) | 3.43677 | + | 19.4909i | 0.131504 | + | 0.745798i | 0.977230 | + | 0.212181i | \(0.0680566\pi\) |
−0.845726 | + | 0.533617i | \(0.820832\pi\) | |||||||
\(684\) | 3.66711 | + | 1.53259i | 0.140215 | + | 0.0585999i | ||||
\(685\) | 0.280051 | − | 1.58825i | 0.0107002 | − | 0.0606839i | ||||
\(686\) | −3.71419 | + | 2.44286i | −0.141808 | + | 0.0932689i | ||||
\(687\) | 3.96319 | − | 3.56755i | 0.151205 | − | 0.136111i | ||||
\(688\) | −1.67554 | + | 0.195843i | −0.0638795 | + | 0.00746645i | ||||
\(689\) | −6.11747 | + | 0.715030i | −0.233057 | + | 0.0272405i | ||||
\(690\) | −3.53378 | − | 16.6356i | −0.134529 | − | 0.633307i | ||||
\(691\) | −7.85323 | + | 5.16515i | −0.298751 | + | 0.196492i | −0.690030 | − | 0.723780i | \(-0.742403\pi\) |
0.391280 | + | 0.920272i | \(0.372033\pi\) | |||||||
\(692\) | 2.56404 | − | 14.5414i | 0.0974700 | − | 0.552780i | ||||
\(693\) | −26.1709 | − | 50.6648i | −0.994151 | − | 1.92460i | ||||
\(694\) | 9.92150 | + | 56.2676i | 0.376615 | + | 2.13589i | ||||
\(695\) | 3.48532 | + | 3.69423i | 0.132206 | + | 0.140130i | ||||
\(696\) | 8.87900 | − | 22.7257i | 0.336558 | − | 0.861417i | ||||
\(697\) | −8.71327 | − | 5.73081i | −0.330039 | − | 0.217070i | ||||
\(698\) | 27.0718 | − | 28.6944i | 1.02468 | − | 1.08610i | ||||
\(699\) | −12.2651 | − | 1.00278i | −0.463909 | − | 0.0379286i | ||||
\(700\) | −22.2861 | − | 51.6650i | −0.842335 | − | 1.95275i | ||||
\(701\) | 9.65096 | − | 16.7160i | 0.364512 | − | 0.631353i | −0.624186 | − | 0.781276i | \(-0.714569\pi\) |
0.988698 | + | 0.149923i | \(0.0479026\pi\) | |||||||
\(702\) | 20.4154 | − | 21.1244i | 0.770528 | − | 0.797290i | ||||
\(703\) | 1.31384 | + | 2.27564i | 0.0495526 | + | 0.0858276i | ||||
\(704\) | 38.7898 | − | 52.1038i | 1.46195 | − | 1.96374i | ||||
\(705\) | −4.75930 | − | 4.70545i | −0.179246 | − | 0.177218i | ||||
\(706\) | 14.1691 | + | 47.3281i | 0.533262 | + | 1.78122i | ||||
\(707\) | 0.392894 | − | 6.74574i | 0.0147763 | − | 0.253700i | ||||
\(708\) | 16.8193 | − | 19.1176i | 0.632106 | − | 0.718482i | ||||
\(709\) | 9.67489 | − | 2.29299i | 0.363348 | − | 0.0861151i | −0.0448865 | − | 0.998992i | \(-0.514293\pi\) |
0.408235 | + | 0.912877i | \(0.366144\pi\) | |||||||
\(710\) | 2.88878 | − | 2.42398i | 0.108414 | − | 0.0909703i | ||||
\(711\) | −21.0745 | − | 31.2616i | −0.790357 | − | 1.17240i | ||||
\(712\) | 0.705679 | + | 0.592135i | 0.0264464 | + | 0.0221912i | ||||
\(713\) | −19.3159 | − | 9.70082i | −0.723387 | − | 0.363298i | ||||
\(714\) | 42.8477 | − | 1.49076i | 1.60353 | − | 0.0557903i | ||||
\(715\) | −2.88320 | + | 6.68400i | −0.107826 | + | 0.249968i | ||||
\(716\) | −6.57899 | − | 8.83712i | −0.245868 | − | 0.330259i | ||||
\(717\) | −6.25871 | − | 4.89114i | −0.233736 | − | 0.182663i | ||||
\(718\) | −3.64044 | − | 62.5039i | −0.135860 | − | 2.33262i | ||||
\(719\) | 35.9855 | − | 13.0976i | 1.34203 | − | 0.488459i | 0.431580 | − | 0.902075i | \(-0.357956\pi\) |
0.910452 | + | 0.413615i | \(0.135734\pi\) | |||||||
\(720\) | 0.321569 | + | 0.374494i | 0.0119842 | + | 0.0139566i | ||||
\(721\) | −62.9971 | − | 22.9291i | −2.34613 | − | 0.853923i | ||||
\(722\) | 12.2795 | − | 41.0165i | 0.456997 | − | 1.52648i | ||||
\(723\) | 9.10865 | + | 5.54701i | 0.338754 | + | 0.206296i | ||||
\(724\) | −43.3546 | + | 21.7735i | −1.61126 | + | 0.809206i | ||||
\(725\) | 23.9310 | + | 5.67174i | 0.888774 | + | 0.210643i | ||||
\(726\) | −49.7410 | − | 22.8510i | −1.84606 | − | 0.848080i | ||||
\(727\) | −23.3151 | − | 2.72515i | −0.864710 | − | 0.101070i | −0.327838 | − | 0.944734i | \(-0.606320\pi\) |
−0.536872 | + | 0.843664i | \(0.680394\pi\) | |||||||
\(728\) | −25.2530 | −0.935940 | ||||||||
\(729\) | −22.9083 | + | 14.2902i | −0.848457 | + | 0.529265i | ||||
\(730\) | 18.3351 | 0.678612 | ||||||||
\(731\) | −17.0741 | − | 1.99568i | −0.631510 | − | 0.0738129i | ||||
\(732\) | −56.8976 | − | 26.1387i | −2.10300 | − | 0.966116i | ||||
\(733\) | −20.1710 | − | 4.78061i | −0.745032 | − | 0.176576i | −0.159469 | − | 0.987203i | \(-0.550978\pi\) |
−0.585563 | + | 0.810627i | \(0.699126\pi\) | |||||||
\(734\) | −49.4987 | + | 24.8592i | −1.82703 | + | 0.917568i | ||||
\(735\) | −6.52273 | − | 3.97223i | −0.240594 | − | 0.146518i | ||||
\(736\) | −12.5974 | + | 42.0781i | −0.464345 | + | 1.55102i | ||||
\(737\) | 27.8845 | + | 10.1491i | 1.02714 | + | 0.373848i | ||||
\(738\) | −16.2256 | − | 18.8960i | −0.597272 | − | 0.695572i | ||||
\(739\) | −17.6513 | + | 6.42454i | −0.649313 | + | 0.236331i | −0.645616 | − | 0.763663i | \(-0.723399\pi\) |
−0.00369738 | + | 0.999993i | \(0.501177\pi\) | |||||||
\(740\) | −0.681189 | − | 11.6956i | −0.0250410 | − | 0.429938i | ||||
\(741\) | 1.41675 | + | 1.10718i | 0.0520455 | + | 0.0406732i | ||||
\(742\) | −12.8190 | − | 17.2190i | −0.470602 | − | 0.632128i | ||||
\(743\) | 12.3093 | − | 28.5362i | 0.451585 | − | 1.04689i | −0.528611 | − | 0.848864i | \(-0.677287\pi\) |
0.980196 | − | 0.198028i | \(-0.0634537\pi\) | |||||||
\(744\) | −13.5625 | + | 0.471867i | −0.497225 | + | 0.0172995i | ||||
\(745\) | −3.00680 | − | 1.51007i | −0.110161 | − | 0.0553248i | ||||
\(746\) | 29.0474 | + | 24.3736i | 1.06350 | + | 0.892382i | ||||
\(747\) | −3.51851 | − | 5.21930i | −0.128736 | − | 0.190964i | ||||
\(748\) | 34.6430 | − | 29.0690i | 1.26667 | − | 1.06287i | ||||
\(749\) | 16.8286 | − | 3.98846i | 0.614905 | − | 0.145735i | ||||
\(750\) | 14.7445 | − | 16.7593i | 0.538394 | − | 0.611963i | ||||
\(751\) | 1.40450 | − | 24.1143i | 0.0512509 | − | 0.879944i | −0.870502 | − | 0.492165i | \(-0.836206\pi\) |
0.921753 | − | 0.387778i | \(-0.126757\pi\) | |||||||
\(752\) | 0.529414 | + | 1.76837i | 0.0193057 | + | 0.0644857i | ||||
\(753\) | −36.1845 | − | 35.7751i | −1.31864 | − | 1.30372i | ||||
\(754\) | 17.8350 | − | 23.9566i | 0.649514 | − | 0.872449i | ||||
\(755\) | 0.520742 | + | 0.901951i | 0.0189517 | + | 0.0328254i | ||||
\(756\) | 60.9287 | + | 15.2162i | 2.21596 | + | 0.553408i | ||||
\(757\) | 0.457633 | − | 0.792644i | 0.0166330 | − | 0.0288091i | −0.857589 | − | 0.514335i | \(-0.828039\pi\) |
0.874222 | + | 0.485526i | \(0.161372\pi\) | |||||||
\(758\) | −1.86050 | − | 4.31312i | −0.0675763 | − | 0.156660i | ||||
\(759\) | 63.3642 | + | 5.18058i | 2.29998 | + | 0.188043i | ||||
\(760\) | 0.448474 | − | 0.475355i | 0.0162679 | − | 0.0172429i | ||||
\(761\) | 17.0312 | + | 11.2016i | 0.617381 | + | 0.406058i | 0.819317 | − | 0.573341i | \(-0.194353\pi\) |
−0.201936 | + | 0.979399i | \(0.564723\pi\) | |||||||
\(762\) | 11.7456 | − | 30.0628i | 0.425498 | − | 1.08906i | ||||
\(763\) | −10.2007 | − | 10.8121i | −0.369291 | − | 0.391426i | ||||
\(764\) | 12.3330 | + | 69.9441i | 0.446194 | + | 2.53049i | ||||
\(765\) | 2.30846 | + | 4.46900i | 0.0834625 | + | 0.161577i | ||||
\(766\) | −5.69111 | + | 32.2759i | −0.205628 | + | 1.16617i | ||||
\(767\) | 9.62441 | − | 6.33007i | 0.347517 | − | 0.228566i | ||||
\(768\) | 5.08984 | + | 23.9609i | 0.183664 | + | 0.864616i | ||||
\(769\) | −22.4365 | + | 2.62245i | −0.809081 | + | 0.0945680i | −0.510568 | − | 0.859838i | \(-0.670565\pi\) |
−0.298513 | + | 0.954406i | \(0.596491\pi\) | |||||||
\(770\) | −25.1996 | + | 2.94541i | −0.908129 | + | 0.106145i | ||||
\(771\) | 24.3392 | − | 21.9094i | 0.876554 | − | 0.789049i | ||||
\(772\) | 17.1568 | − | 11.2842i | 0.617488 | − | 0.406128i | ||||
\(773\) | −0.291023 | + | 1.65048i | −0.0104674 | + | 0.0593635i | −0.989594 | − | 0.143888i | \(-0.954040\pi\) |
0.979127 | + | 0.203251i | \(0.0651508\pi\) | |||||||
\(774\) | −37.8790 | − | 15.8307i | −1.36153 | − | 0.569022i | ||||
\(775\) | −2.37538 | − | 13.4715i | −0.0853262 | − | 0.483909i | ||||
\(776\) | −20.0751 | − | 21.2783i | −0.720652 | − | 0.763847i | ||||
\(777\) | 25.9368 | + | 32.4216i | 0.930477 | + | 1.16312i | ||||
\(778\) | 23.4523 | + | 15.4248i | 0.840805 | + | 0.553006i | ||||
\(779\) | 1.04612 | − | 1.10882i | 0.0374810 | − | 0.0397275i | ||||
\(780\) | −3.42921 | − | 7.24606i | −0.122786 | − | 0.259450i | ||||
\(781\) | 5.58357 | + | 12.9442i | 0.199796 | + | 0.463179i | ||||
\(782\) | −23.8993 | + | 41.3949i | −0.854639 | + | 1.48028i | ||||
\(783\) | −21.2382 | + | 17.3902i | −0.758991 | + | 0.621475i | ||||
\(784\) | 1.05319 | + | 1.82418i | 0.0376139 | + | 0.0651491i | ||||
\(785\) | −3.33253 | + | 4.47637i | −0.118943 | + | 0.159768i | ||||
\(786\) | 6.59409 | − | 1.80715i | 0.235203 | − | 0.0644590i | ||||
\(787\) | 8.99701 | + | 30.0521i | 0.320709 | + | 1.07124i | 0.954618 | + | 0.297834i | \(0.0962642\pi\) |
−0.633909 | + | 0.773408i | \(0.718551\pi\) | |||||||
\(788\) | −1.02117 | + | 17.5328i | −0.0363776 | + | 0.624579i | ||||
\(789\) | 24.8792 | + | 4.98974i | 0.885724 | + | 0.177639i | ||||
\(790\) | −16.3218 | + | 3.86835i | −0.580705 | + | 0.137630i | ||||
\(791\) | −38.0479 | + | 31.9259i | −1.35283 | + | 1.13516i | ||||
\(792\) | 36.4684 | − | 16.2255i | 1.29585 | − | 0.576550i | ||||
\(793\) | −21.6996 | − | 18.2081i | −0.770575 | − | 0.646590i | ||||
\(794\) | 38.9575 | + | 19.5652i | 1.38255 | + | 0.694343i | ||||
\(795\) | 1.18266 | − | 2.22356i | 0.0419445 | − | 0.0788616i | ||||
\(796\) | −21.1125 | + | 48.9443i | −0.748313 | + | 1.73478i | ||||
\(797\) | 28.1984 | + | 37.8770i | 0.998839 | + | 1.34167i | 0.939169 | + | 0.343456i | \(0.111597\pi\) |
0.0596701 | + | 0.998218i | \(0.480995\pi\) | |||||||
\(798\) | −0.872979 | + | 6.20578i | −0.0309031 | + | 0.219682i | ||||
\(799\) | 1.09372 | + | 18.7784i | 0.0386930 | + | 0.664333i | ||||
\(800\) | −26.1209 | + | 9.50724i | −0.923514 | + | 0.336132i | ||||
\(801\) | −0.365524 | − | 0.969790i | −0.0129151 | − | 0.0342658i | ||||
\(802\) | −21.5509 | − | 7.84389i | −0.760990 | − | 0.276978i | ||||
\(803\) | −19.6578 | + | 65.6616i | −0.693708 | + | 2.31715i | ||||
\(804\) | −28.6756 | + | 15.6730i | −1.01131 | + | 0.552743i | ||||
\(805\) | 14.6978 | − | 7.38151i | 0.518029 | − | 0.260164i | ||||
\(806\) | −16.1642 | − | 3.83098i | −0.569359 | − | 0.134940i | ||||
\(807\) | 0.947007 | + | 10.1584i | 0.0333362 | + | 0.357591i | ||||
\(808\) | 4.69775 | + | 0.549089i | 0.165266 | + | 0.0193169i | ||||
\(809\) | 15.1675 | 0.533260 | 0.266630 | − | 0.963799i | \(-0.414090\pi\) | ||||
0.266630 | + | 0.963799i | \(0.414090\pi\) | |||||||
\(810\) | 2.35463 | + | 11.7796i | 0.0827331 | + | 0.413893i | ||||
\(811\) | 35.5509 | 1.24836 | 0.624181 | − | 0.781280i | \(-0.285433\pi\) | ||||
0.624181 | + | 0.781280i | \(0.285433\pi\) | |||||||
\(812\) | 63.4140 | + | 7.41204i | 2.22540 | + | 0.260111i | ||||
\(813\) | −32.7748 | + | 23.2282i | −1.14946 | + | 0.814648i | ||||
\(814\) | 69.4797 | + | 16.4670i | 2.43526 | + | 0.577168i | ||||
\(815\) | −3.87372 | + | 1.94546i | −0.135690 | + | 0.0681463i | ||||
\(816\) | 0.0324599 | − | 1.38695i | 0.00113632 | − | 0.0485528i | ||||
\(817\) | 0.720660 | − | 2.40717i | 0.0252127 | − | 0.0842163i | ||||
\(818\) | 7.39526 | + | 2.69166i | 0.258569 | + | 0.0941115i | ||||
\(819\) | 24.7645 | + | 13.9245i | 0.865341 | + | 0.486562i | ||||
\(820\) | −6.38662 | + | 2.32454i | −0.223031 | + | 0.0811765i | ||||
\(821\) | 0.700759 | + | 12.0316i | 0.0244566 | + | 0.419904i | 0.988209 | + | 0.153108i | \(0.0489282\pi\) |
−0.963753 | + | 0.266797i | \(0.914035\pi\) | |||||||
\(822\) | −10.0373 | + | 4.05385i | −0.350092 | + | 0.141394i | ||||
\(823\) | 21.8995 | + | 29.4161i | 0.763368 | + | 1.02538i | 0.998571 | + | 0.0534351i | \(0.0170170\pi\) |
−0.235203 | + | 0.971946i | \(0.575576\pi\) | |||||||
\(824\) | 18.5861 | − | 43.0875i | 0.647479 | − | 1.50102i | ||||
\(825\) | 21.3166 | + | 34.1235i | 0.742149 | + | 1.18803i | ||||
\(826\) | 35.8790 | + | 18.0191i | 1.24839 | + | 0.626965i | ||||
\(827\) | −35.8302 | − | 30.0651i | −1.24594 | − | 1.04547i | −0.997036 | − | 0.0769360i | \(-0.975486\pi\) |
−0.248901 | − | 0.968529i | \(-0.580069\pi\) | |||||||
\(828\) | −50.3765 | + | 48.6230i | −1.75070 | + | 1.68976i | ||||
\(829\) | 0.460070 | − | 0.386045i | 0.0159789 | − | 0.0134079i | −0.634763 | − | 0.772707i | \(-0.718902\pi\) |
0.650742 | + | 0.759299i | \(0.274458\pi\) | |||||||
\(830\) | −2.72502 | + | 0.645842i | −0.0945869 | + | 0.0224175i | ||||
\(831\) | −9.66377 | − | 28.6173i | −0.335233 | − | 0.992723i | ||||
\(832\) | −1.88173 | + | 32.3081i | −0.0652372 | + | 1.12008i | ||||
\(833\) | 6.15606 | + | 20.5627i | 0.213295 | + | 0.712455i | ||||
\(834\) | 8.63570 | − | 32.9782i | 0.299030 | − | 1.14194i | ||||
\(835\) | 1.59577 | − | 2.14350i | 0.0552240 | − | 0.0741788i | ||||
\(836\) | 3.30516 | + | 5.72471i | 0.114312 | + | 0.197993i | ||||
\(837\) | 13.5603 | + | 7.01561i | 0.468713 | + | 0.242495i | ||||
\(838\) | −6.62950 | + | 11.4826i | −0.229012 | + | 0.396661i | ||||
\(839\) | −17.1630 | − | 39.7884i | −0.592534 | − | 1.37365i | −0.905688 | − | 0.423946i | \(-0.860645\pi\) |
0.313154 | − | 0.949702i | \(-0.398615\pi\) | |||||||
\(840\) | 5.87463 | − | 8.49226i | 0.202694 | − | 0.293011i | ||||
\(841\) | 0.750297 | − | 0.795269i | 0.0258723 | − | 0.0274231i | ||||
\(842\) | −73.2615 | − | 48.1849i | −2.52476 | − | 1.66056i | ||||
\(843\) | −48.9486 | + | 7.45461i | −1.68588 | + | 0.256750i | ||||
\(844\) | 16.6550 | + | 17.6532i | 0.573287 | + | 0.607649i | ||||
\(845\) | 0.695063 | + | 3.94190i | 0.0239109 | + | 0.135605i | ||||
\(846\) | −9.86182 | + | 43.8267i | −0.339056 | + | 1.50679i | ||||
\(847\) | 9.19255 | − | 52.1335i | 0.315860 | − | 1.79133i | ||||
\(848\) | −0.580356 | + | 0.381706i | −0.0199295 | + | 0.0131078i | ||||
\(849\) | 29.3364 | + | 9.53613i | 1.00682 | + | 0.327279i | ||||
\(850\) | −30.0453 | + | 3.51179i | −1.03054 | + | 0.120453i | ||||
\(851\) | −45.9761 | + | 5.37384i | −1.57604 | + | 0.184213i | ||||
\(852\) | −14.7643 | − | 4.79930i | −0.505816 | − | 0.164421i | ||||
\(853\) | −10.6807 | + | 7.02480i | −0.365700 | + | 0.240524i | −0.719037 | − | 0.694971i | \(-0.755417\pi\) |
0.353338 | + | 0.935496i | \(0.385047\pi\) | |||||||
\(854\) | 17.1441 | − | 97.2292i | 0.586660 | − | 3.32711i | ||||
\(855\) | −0.701908 | + | 0.218870i | −0.0240047 | + | 0.00748519i | ||||
\(856\) | 2.10213 | + | 11.9217i | 0.0718492 | + | 0.407477i | ||||
\(857\) | −13.2722 | − | 14.0677i | −0.453369 | − | 0.480543i | 0.459859 | − | 0.887992i | \(-0.347900\pi\) |
−0.913228 | + | 0.407449i | \(0.866418\pi\) | |||||||
\(858\) | 48.3032 | − | 7.35632i | 1.64904 | − | 0.251141i | ||||
\(859\) | −22.1004 | − | 14.5357i | −0.754057 | − | 0.495951i | 0.113347 | − | 0.993555i | \(-0.463843\pi\) |
−0.867404 | + | 0.497604i | \(0.834213\pi\) | |||||||
\(860\) | −7.68788 | + | 8.14868i | −0.262155 | + | 0.277868i | ||||
\(861\) | 13.7032 | − | 19.8091i | 0.467005 | − | 0.675094i | ||||
\(862\) | 0.182163 | + | 0.422302i | 0.00620451 | + | 0.0143837i | ||||
\(863\) | −1.63147 | + | 2.82580i | −0.0555360 | + | 0.0961912i | −0.892457 | − | 0.451133i | \(-0.851020\pi\) |
0.836921 | + | 0.547324i | \(0.184353\pi\) | |||||||
\(864\) | 9.25469 | − | 29.6125i | 0.314851 | − | 1.00744i | ||||
\(865\) | 1.36575 | + | 2.36556i | 0.0464370 | + | 0.0804313i | ||||
\(866\) | −10.9481 | + | 14.7059i | −0.372032 | + | 0.499726i | ||||
\(867\) | −3.87775 | + | 14.8084i | −0.131695 | + | 0.502921i | ||||
\(868\) | −10.1848 | − | 34.0195i | −0.345694 | − | 1.15470i | ||||
\(869\) | 3.64599 | − | 62.5992i | 0.123682 | − | 2.12353i | ||||
\(870\) | 3.90732 | + | 11.5707i | 0.132471 | + | 0.392285i | ||||
\(871\) | −14.3856 | + | 3.40945i | −0.487437 | + | 0.115525i | ||||
\(872\) | 7.97041 | − | 6.68796i | 0.269912 | − | 0.226483i | ||||
\(873\) | 7.95383 | + | 31.9360i | 0.269196 | + | 1.08087i | ||||
\(874\) | −5.35219 | − | 4.49102i | −0.181040 | − | 0.151911i | ||||
\(875\) | 19.2914 | + | 9.68851i | 0.652168 | + | 0.327531i | ||||
\(876\) | −39.9913 | − | 64.0178i | −1.35118 | − | 2.16296i | ||||
\(877\) | −15.9010 | + | 36.8626i | −0.536937 | + | 1.24476i | 0.406634 | + | 0.913591i | \(0.366702\pi\) |
−0.943571 | + | 0.331170i | \(0.892557\pi\) | |||||||
\(878\) | −2.96877 | − | 3.98775i | −0.100191 | − | 0.134580i | ||||
\(879\) | 26.7165 | − | 10.7902i | 0.901126 | − | 0.363944i | ||||
\(880\) | 0.0477352 | + | 0.819582i | 0.00160915 | + | 0.0276281i | ||||
\(881\) | 42.6866 | − | 15.5367i | 1.43815 | − | 0.523443i | 0.498894 | − | 0.866663i | \(-0.333740\pi\) |
0.939255 | + | 0.343220i | \(0.111518\pi\) | |||||||
\(882\) | 0.583261 | + | 51.2579i | 0.0196394 | + | 1.72594i | ||||
\(883\) | 28.0681 | + | 10.2160i | 0.944567 | + | 0.343794i | 0.767968 | − | 0.640488i | \(-0.221268\pi\) |
0.176599 | + | 0.984283i | \(0.443490\pi\) | |||||||
\(884\) | −6.46195 | + | 21.5844i | −0.217339 | + | 0.725963i | ||||
\(885\) | −0.110212 | + | 4.70913i | −0.00370473 | + | 0.158296i | ||||
\(886\) | 65.7649 | − | 33.0284i | 2.20941 | − | 1.10961i | ||||
\(887\) | 27.1170 | + | 6.42684i | 0.910499 | + | 0.215792i | 0.659069 | − | 0.752083i | \(-0.270951\pi\) |
0.251431 | + | 0.967875i | \(0.419099\pi\) | |||||||
\(888\) | −23.7109 | + | 16.8044i | −0.795687 | + | 0.563920i | ||||
\(889\) | 31.0029 | + | 3.62371i | 1.03980 | + | 0.121535i | ||||
\(890\) | −0.461102 | −0.0154562 | ||||||||
\(891\) | −44.7096 | − | 4.19701i | −1.49783 | − | 0.140605i | ||||
\(892\) | −26.8317 | −0.898391 | ||||||||
\(893\) | −2.73092 | − | 0.319199i | −0.0913868 | − | 0.0106816i | ||||
\(894\) | 2.09633 | + | 22.4869i | 0.0701118 | + | 0.752076i | ||||
\(895\) | 1.98313 | + | 0.470010i | 0.0662887 | + | 0.0157107i | ||||
\(896\) | −60.1446 | + | 30.2058i | −2.00929 | + | 1.00910i | ||||
\(897\) | −27.7939 | + | 15.1911i | −0.928011 | + | 0.507215i | ||||
\(898\) | 25.3497 | − | 84.6738i | 0.845930 | − | 2.82560i | ||||
\(899\) | 14.5858 | + | 5.30879i | 0.486463 | + | 0.177058i | ||||
\(900\) | −43.7206 | − | 7.19719i | −1.45735 | − | 0.239906i | ||||
\(901\) | −6.65155 | + | 2.42097i | −0.221595 | + | 0.0806541i | ||||
\(902\) | −2.40860 | − | 41.3541i | −0.0801976 | − | 1.37694i | ||||
\(903\) | 5.53067 | − | 39.3161i | 0.184049 | − | 1.30836i | ||||
\(904\) | −20.7605 | − | 27.8862i | −0.690484 | − | 0.927481i | ||||
\(905\) | 3.55474 | − | 8.24081i | 0.118163 | − | 0.273934i | ||||
\(906\) | 3.28269 | − | 6.17193i | 0.109060 | − | 0.205049i | ||||
\(907\) | −24.6244 | − | 12.3669i | −0.817641 | − | 0.410635i | −0.00973944 | − | 0.999953i | \(-0.503100\pi\) |
−0.807901 | + | 0.589318i | \(0.799397\pi\) | |||||||
\(908\) | 64.9832 | + | 54.5274i | 2.15654 | + | 1.80955i | ||||
\(909\) | −4.30410 | − | 3.12880i | −0.142758 | − | 0.103776i | ||||
\(910\) | 9.68303 | − | 8.12503i | 0.320989 | − | 0.269342i | ||||
\(911\) | −5.98297 | + | 1.41799i | −0.198225 | + | 0.0469801i | −0.328529 | − | 0.944494i | \(-0.606553\pi\) |
0.130304 | + | 0.991474i | \(0.458405\pi\) | |||||||
\(912\) | 0.198827 | + | 0.0398765i | 0.00658383 | + | 0.00132044i | ||||
\(913\) | 0.608718 | − | 10.4513i | 0.0201456 | − | 0.345887i | ||||
\(914\) | 19.2588 | + | 64.3289i | 0.637025 | + | 2.12781i | ||||
\(915\) | 11.1711 | − | 3.06152i | 0.369307 | − | 0.101211i | ||||
\(916\) | −5.83242 | + | 7.83429i | −0.192708 | + | 0.258852i | ||||
\(917\) | 3.30614 | + | 5.72640i | 0.109178 | + | 0.189102i | ||||
\(918\) | 17.2314 | − | 29.0339i | 0.568720 | − | 0.958262i | ||||
\(919\) | −8.38084 | + | 14.5160i | −0.276459 | + | 0.478840i | −0.970502 | − | 0.241093i | \(-0.922494\pi\) |
0.694044 | + | 0.719933i | \(0.255828\pi\) | |||||||
\(920\) | 4.55982 | + | 10.5709i | 0.150333 | + | 0.348511i | ||||
\(921\) | 10.4548 | + | 22.0913i | 0.344496 | + | 0.727934i | ||||
\(922\) | 33.5935 | − | 35.6071i | 1.10634 | − | 1.17266i | ||||
\(923\) | −5.86796 | − | 3.85942i | −0.193146 | − | 0.127034i | ||||
\(924\) | 65.2477 | + | 81.5611i | 2.14649 | + | 2.68316i | ||||
\(925\) | −20.1031 | − | 21.3080i | −0.660985 | − | 0.700604i | ||||
\(926\) | −13.7988 | − | 78.2572i | −0.453458 | − | 2.57169i | ||||
\(927\) | −41.9850 | + | 32.0055i | −1.37897 | + | 1.05120i | ||||
\(928\) | 5.47713 | − | 31.0624i | 0.179796 | − | 1.01967i | ||||
\(929\) | −45.8203 | + | 30.1365i | −1.50331 | + | 0.988745i | −0.511749 | + | 0.859135i | \(0.671002\pi\) |
−0.991565 | + | 0.129611i | \(0.958627\pi\) | |||||||
\(930\) | 5.04859 | − | 4.54459i | 0.165550 | − | 0.149023i | ||||
\(931\) | −3.11626 | + | 0.364239i | −0.102131 | + | 0.0119374i | ||||
\(932\) | 22.3877 | − | 2.61674i | 0.733333 | − | 0.0857143i | ||||
\(933\) | 8.51084 | + | 40.0657i | 0.278632 | + | 1.31169i | ||||
\(934\) | −47.7158 | + | 31.3832i | −1.56131 | + | 1.02689i | ||||
\(935\) | −1.45272 | + | 8.23876i | −0.0475089 | + | 0.269436i | ||||
\(936\) | −10.7380 | + | 16.7381i | −0.350981 | + | 0.547100i | ||||
\(937\) | 2.62965 | + | 14.9135i | 0.0859070 | + | 0.487203i | 0.997157 | + | 0.0753496i | \(0.0240073\pi\) |
−0.911250 | + | 0.411853i | \(0.864882\pi\) | |||||||
\(938\) | −35.3606 | − | 37.4800i | −1.15456 | − | 1.22377i | ||||
\(939\) | −5.15846 | + | 13.2030i | −0.168340 | + | 0.430865i | ||||
\(940\) | 10.2419 | + | 6.73618i | 0.334053 | + | 0.219710i | ||||
\(941\) | 14.3246 | − | 15.1832i | 0.466969 | − | 0.494958i | −0.450494 | − | 0.892780i | \(-0.648752\pi\) |
0.917463 | + | 0.397821i | \(0.130234\pi\) | |||||||
\(942\) | 37.3337 | + | 3.05235i | 1.21640 | + | 0.0994511i | ||||
\(943\) | 10.6363 | + | 24.6577i | 0.346365 | + | 0.802965i | ||||
\(944\) | 0.649591 | − | 1.12512i | 0.0211424 | − | 0.0366197i | ||||
\(945\) | −10.4436 | + | 5.08870i | −0.339730 | + | 0.165535i | ||||
\(946\) | −34.1403 | − | 59.1328i | −1.11000 | − | 1.92257i | ||||
\(947\) | 30.2298 | − | 40.6057i | 0.982337 | − | 1.31951i | 0.0349593 | − | 0.999389i | \(-0.488870\pi\) |
0.947377 | − | 0.320119i | \(-0.103723\pi\) | |||||||
\(948\) | 49.1067 | + | 48.5511i | 1.59491 | + | 1.57687i | ||||
\(949\) | −9.79383 | − | 32.7137i | −0.317921 | − | 1.06193i | ||||
\(950\) | 0.257096 | − | 4.41417i | 0.00834129 | − | 0.143214i | ||||
\(951\) | −4.68905 | + | 5.32979i | −0.152053 | + | 0.172830i | ||||
\(952\) | −28.2400 | + | 6.69301i | −0.915265 | + | 0.216922i | ||||
\(953\) | 41.7445 | − | 35.0278i | 1.35224 | − | 1.13466i | 0.373940 | − | 0.927453i | \(-0.378007\pi\) |
0.978297 | − | 0.207208i | \(-0.0664377\pi\) | |||||||
\(954\) | −16.8638 | + | 1.17488i | −0.545986 | + | 0.0380380i | ||||
\(955\) | −10.0647 | − | 8.44532i | −0.325687 | − | 0.273284i | ||||
\(956\) | 13.0015 | + | 6.52959i | 0.420498 | + | 0.211182i | ||||
\(957\) | −45.6263 | + | 1.58743i | −1.47489 | + | 0.0513145i | ||||
\(958\) | 8.83865 | − | 20.4903i | 0.285564 | − | 0.662011i | ||||
\(959\) | −6.25159 | − | 8.39734i | −0.201874 | − | 0.271164i | ||||
\(960\) | −10.4270 | − | 8.14864i | −0.336531 | − | 0.262996i | ||||
\(961\) | 1.30050 | + | 22.3288i | 0.0419518 | + | 0.720284i | ||||
\(962\) | −33.4294 | + | 12.1673i | −1.07781 | + | 0.392290i | ||||
\(963\) | 4.51219 | − | 12.8502i | 0.145403 | − | 0.414092i | ||||
\(964\) | −18.3558 | − | 6.68097i | −0.591201 | − | 0.215180i | ||||
\(965\) | −1.08951 | + | 3.63921i | −0.0350725 | + | 0.117150i | ||||
\(966\) | −94.2887 | − | 57.4202i | −3.03369 | − | 1.84746i | ||||
\(967\) | 36.7960 | − | 18.4797i | 1.18328 | − | 0.594266i | 0.255288 | − | 0.966865i | \(-0.417830\pi\) |
0.927992 | + | 0.372599i | \(0.121533\pi\) | |||||||
\(968\) | 36.0554 | + | 8.54529i | 1.15886 | + | 0.274656i | ||||
\(969\) | 1.87777 | + | 0.862646i | 0.0603226 | + | 0.0277122i | ||||
\(970\) | 14.5438 | + | 1.69992i | 0.466972 | + | 0.0545812i | ||||
\(971\) | 9.59297 | 0.307853 | 0.153927 | − | 0.988082i | \(-0.450808\pi\) | ||||
0.153927 | + | 0.988082i | \(0.450808\pi\) | |||||||
\(972\) | 35.9933 | − | 33.9142i | 1.15449 | − | 1.08780i | ||||
\(973\) | 32.9685 | 1.05692 | ||||||||
\(974\) | 38.4736 | + | 4.49692i | 1.23277 | + | 0.144091i | ||||
\(975\) | −18.2152 | − | 8.36808i | −0.583355 | − | 0.267993i | ||||
\(976\) | −3.10861 | − | 0.736754i | −0.0995042 | − | 0.0235829i | ||||
\(977\) | −13.4788 | + | 6.76929i | −0.431224 | + | 0.216569i | −0.651152 | − | 0.758947i | \(-0.725714\pi\) |
0.219928 | + | 0.975516i | \(0.429418\pi\) | |||||||
\(978\) | 24.8505 | + | 15.1335i | 0.794632 | + | 0.483918i | ||||
\(979\) | 0.494366 | − | 1.65130i | 0.0158000 | − | 0.0527757i | ||||
\(980\) | 13.1447 | + | 4.78426i | 0.419890 | + | 0.152828i | ||||
\(981\) | −11.5039 | + | 2.16370i | −0.367293 | + | 0.0690816i | ||||
\(982\) | −17.9721 | + | 6.54131i | −0.573513 | + | 0.208741i | ||||
\(983\) | −3.25726 | − | 55.9250i | −0.103891 | − | 1.78373i | −0.500492 | − | 0.865741i | \(-0.666848\pi\) |
0.396602 | − | 0.917991i | \(-0.370189\pi\) | |||||||
\(984\) | 13.2844 | + | 10.3817i | 0.423491 | + | 0.330955i | ||||
\(985\) | −1.94010 | − | 2.60601i | −0.0618167 | − | 0.0830343i | ||||
\(986\) | 13.5952 | − | 31.5172i | 0.432960 | − | 1.00371i | ||||
\(987\) | −43.4182 | + | 1.51061i | −1.38202 | + | 0.0480832i | ||||
\(988\) | −2.94307 | − | 1.47806i | −0.0936314 | − | 0.0470235i | ||||
\(989\) | 33.9083 | + | 28.4524i | 1.07822 | + | 0.904734i | ||||
\(990\) | −8.76297 | + | 17.9550i | −0.278506 | + | 0.570649i | ||||
\(991\) | 14.6989 | − | 12.3338i | 0.466925 | − | 0.391796i | −0.378747 | − | 0.925500i | \(-0.623645\pi\) |
0.845671 | + | 0.533704i | \(0.179200\pi\) | |||||||
\(992\) | −17.0707 | + | 4.04583i | −0.541996 | + | 0.128455i | ||||
\(993\) | −28.3687 | + | 32.2452i | −0.900254 | + | 1.02327i | ||||
\(994\) | 1.42333 | − | 24.4376i | 0.0451453 | − | 0.775115i | ||||
\(995\) | −2.82807 | − | 9.44640i | −0.0896558 | − | 0.299471i | ||||
\(996\) | 8.19864 | + | 8.10588i | 0.259784 | + | 0.256845i | ||||
\(997\) | 19.2022 | − | 25.7930i | 0.608140 | − | 0.816874i | −0.386279 | − | 0.922382i | \(-0.626240\pi\) |
0.994418 | + | 0.105509i | \(0.0336471\pi\) | |||||||
\(998\) | −27.4768 | − | 47.5913i | −0.869764 | − | 1.50648i | ||||
\(999\) | 32.5182 | − | 3.40512i | 1.02883 | − | 0.107733i |
(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 | 81.2.g.a.4.1 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.64.8 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.676.1 | 144 | |||
9.4 | even | 3 | 729.2.g.c.190.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.190.1 | 144 | |||
9.7 | even | 3 | 729.2.g.d.676.8 | 144 | |||
81.7 | even | 27 | 729.2.g.d.55.8 | 144 | |||
81.20 | odd | 54 | 243.2.g.a.19.8 | 144 | |||
81.34 | even | 27 | 729.2.g.c.541.8 | 144 | |||
81.40 | even | 27 | 6561.2.a.c.1.68 | 72 | |||
81.41 | odd | 54 | 6561.2.a.d.1.5 | 72 | |||
81.47 | odd | 54 | 729.2.g.b.541.1 | 144 | |||
81.61 | even | 27 | inner | 81.2.g.a.61.1 | yes | 144 | |
81.74 | odd | 54 | 729.2.g.a.55.1 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.4.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.61.1 | yes | 144 | 81.61 | even | 27 | inner | |
243.2.g.a.19.8 | 144 | 81.20 | odd | 54 | |||
243.2.g.a.64.8 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.55.1 | 144 | 81.74 | odd | 54 | |||
729.2.g.a.676.1 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.190.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.541.1 | 144 | 81.47 | odd | 54 | |||
729.2.g.c.190.8 | 144 | 9.4 | even | 3 | |||
729.2.g.c.541.8 | 144 | 81.34 | even | 27 | |||
729.2.g.d.55.8 | 144 | 81.7 | even | 27 | |||
729.2.g.d.676.8 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.68 | 72 | 81.40 | even | 27 | |||
6561.2.a.d.1.5 | 72 | 81.41 | odd | 54 |