Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(13,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bg (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 13.43 | ||
Character | \(\chi\) | \(=\) | 432.13 |
Dual form | 432.2.bg.a.133.43 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.451525 | + | 1.34020i | 0.319276 | + | 0.947662i | ||||
\(3\) | −0.603065 | + | 1.62367i | −0.348180 | + | 0.937428i | ||||
\(4\) | −1.59225 | + | 1.21026i | −0.796125 | + | 0.605132i | ||||
\(5\) | 2.50759 | − | 0.219385i | 1.12143 | − | 0.0981121i | 0.488674 | − | 0.872466i | \(-0.337481\pi\) |
0.632752 | + | 0.774354i | \(0.281925\pi\) | |||||||
\(6\) | −2.44834 | − | 0.0750967i | −0.999530 | − | 0.0306581i | ||||
\(7\) | 0.0438504 | − | 0.120478i | 0.0165739 | − | 0.0455364i | −0.931130 | − | 0.364688i | \(-0.881176\pi\) |
0.947704 | + | 0.319152i | \(0.103398\pi\) | |||||||
\(8\) | −2.34093 | − | 1.58746i | −0.827644 | − | 0.561253i | ||||
\(9\) | −2.27263 | − | 1.95836i | −0.757542 | − | 0.652787i | ||||
\(10\) | 1.42626 | + | 3.26160i | 0.451022 | + | 1.03141i | ||||
\(11\) | −0.572986 | + | 6.54926i | −0.172762 | + | 1.97468i | 0.0461572 | + | 0.998934i | \(0.485302\pi\) |
−0.218919 | + | 0.975743i | \(0.570253\pi\) | |||||||
\(12\) | −1.00484 | − | 3.31516i | −0.290073 | − | 0.957005i | ||||
\(13\) | −3.45030 | + | 2.41592i | −0.956940 | + | 0.670057i | −0.944030 | − | 0.329860i | \(-0.892999\pi\) |
−0.0129104 | + | 0.999917i | \(0.504110\pi\) | |||||||
\(14\) | 0.181264 | + | 0.00436934i | 0.0484447 | + | 0.00116775i | ||||
\(15\) | −1.15603 | + | 4.20380i | −0.298485 | + | 1.08542i | ||||
\(16\) | 1.07053 | − | 3.85409i | 0.267631 | − | 0.963521i | ||||
\(17\) | 0.544429 | − | 0.942979i | 0.132043 | − | 0.228706i | −0.792421 | − | 0.609975i | \(-0.791180\pi\) |
0.924464 | + | 0.381269i | \(0.124513\pi\) | |||||||
\(18\) | 1.59844 | − | 3.93001i | 0.376756 | − | 0.926313i | ||||
\(19\) | −0.458097 | + | 1.70964i | −0.105095 | + | 0.392219i | −0.998356 | − | 0.0573194i | \(-0.981745\pi\) |
0.893261 | + | 0.449538i | \(0.148411\pi\) | |||||||
\(20\) | −3.72719 | + | 3.38416i | −0.833425 | + | 0.756720i | ||||
\(21\) | 0.169172 | + | 0.143855i | 0.0369164 | + | 0.0313917i | ||||
\(22\) | −9.03601 | + | 2.18924i | −1.92648 | + | 0.466748i | ||||
\(23\) | −0.457698 | − | 1.25752i | −0.0954366 | − | 0.262210i | 0.882784 | − | 0.469780i | \(-0.155667\pi\) |
−0.978220 | + | 0.207570i | \(0.933445\pi\) | |||||||
\(24\) | 3.98926 | − | 2.84356i | 0.814303 | − | 0.580440i | ||||
\(25\) | 1.31582 | − | 0.232014i | 0.263163 | − | 0.0464028i | ||||
\(26\) | −4.79571 | − | 3.53323i | −0.940515 | − | 0.692922i | ||||
\(27\) | 4.55028 | − | 2.50898i | 0.875701 | − | 0.482854i | ||||
\(28\) | 0.0759892 | + | 0.244902i | 0.0143606 | + | 0.0462821i | ||||
\(29\) | 3.29377 | − | 4.70399i | 0.611638 | − | 0.873509i | −0.387186 | − | 0.922002i | \(-0.626553\pi\) |
0.998824 | + | 0.0484924i | \(0.0154417\pi\) | |||||||
\(30\) | −6.15589 | + | 0.348818i | −1.12391 | + | 0.0636852i | ||||
\(31\) | 6.90474 | − | 2.51312i | 1.24013 | − | 0.451369i | 0.363073 | − | 0.931761i | \(-0.381728\pi\) |
0.877054 | + | 0.480391i | \(0.159505\pi\) | |||||||
\(32\) | 5.64860 | − | 0.305501i | 0.998541 | − | 0.0540055i | ||||
\(33\) | −10.2883 | − | 4.87997i | −1.79097 | − | 0.849494i | ||||
\(34\) | 1.50960 | + | 0.303863i | 0.258894 | + | 0.0521121i | ||||
\(35\) | 0.0835275 | − | 0.311729i | 0.0141187 | − | 0.0526918i | ||||
\(36\) | 5.98872 | + | 0.367724i | 0.998120 | + | 0.0612873i | ||||
\(37\) | −0.285907 | − | 1.06702i | −0.0470028 | − | 0.175417i | 0.938434 | − | 0.345458i | \(-0.112277\pi\) |
−0.985437 | + | 0.170041i | \(0.945610\pi\) | |||||||
\(38\) | −2.49810 | + | 0.158006i | −0.405245 | + | 0.0256319i | ||||
\(39\) | −1.84192 | − | 7.05911i | −0.294943 | − | 1.13036i | ||||
\(40\) | −6.21835 | − | 3.46714i | −0.983208 | − | 0.548202i | ||||
\(41\) | −2.98899 | − | 0.527040i | −0.466802 | − | 0.0823098i | −0.0647002 | − | 0.997905i | \(-0.520609\pi\) |
−0.402102 | + | 0.915595i | \(0.631720\pi\) | |||||||
\(42\) | −0.116408 | + | 0.291678i | −0.0179622 | + | 0.0450069i | ||||
\(43\) | −0.930274 | + | 10.6331i | −0.141865 | + | 1.62153i | 0.507915 | + | 0.861407i | \(0.330416\pi\) |
−0.649780 | + | 0.760122i | \(0.725139\pi\) | |||||||
\(44\) | −7.01400 | − | 11.1215i | −1.05740 | − | 1.67663i | ||||
\(45\) | −6.12844 | − | 4.41217i | −0.913574 | − | 0.657728i | ||||
\(46\) | 1.47865 | − | 1.18120i | 0.218016 | − | 0.174159i | ||||
\(47\) | 4.93720 | + | 1.79699i | 0.720164 | + | 0.262118i | 0.675996 | − | 0.736906i | \(-0.263714\pi\) |
0.0441688 | + | 0.999024i | \(0.485936\pi\) | |||||||
\(48\) | 5.61218 | + | 4.06245i | 0.810048 | + | 0.586364i | ||||
\(49\) | 5.34972 | + | 4.48895i | 0.764246 | + | 0.641278i | ||||
\(50\) | 0.905068 | + | 1.65869i | 0.127996 | + | 0.234574i | ||||
\(51\) | 1.20276 | + | 1.45265i | 0.168420 | + | 0.203412i | ||||
\(52\) | 2.56983 | − | 8.02253i | 0.356372 | − | 1.11252i | ||||
\(53\) | 3.55401 | − | 3.55401i | 0.488181 | − | 0.488181i | −0.419551 | − | 0.907732i | \(-0.637812\pi\) |
0.907732 | + | 0.419551i | \(0.137812\pi\) | |||||||
\(54\) | 5.41709 | + | 4.96539i | 0.737173 | + | 0.675704i | ||||
\(55\) | 16.5485i | 2.23141i | ||||||||
\(56\) | −0.293905 | + | 0.212420i | −0.0392747 | + | 0.0283858i | ||||
\(57\) | −2.49964 | − | 1.77482i | −0.331085 | − | 0.235081i | ||||
\(58\) | 7.79149 | + | 2.29033i | 1.02307 | + | 0.300735i | ||||
\(59\) | −8.55445 | + | 0.748417i | −1.11369 | + | 0.0974356i | −0.629115 | − | 0.777312i | \(-0.716583\pi\) |
−0.484579 | + | 0.874748i | \(0.661027\pi\) | |||||||
\(60\) | −3.24702 | − | 8.09260i | −0.419189 | − | 1.04475i | ||||
\(61\) | 5.38806 | + | 11.5547i | 0.689870 | + | 1.47943i | 0.868590 | + | 0.495532i | \(0.165027\pi\) |
−0.178719 | + | 0.983900i | \(0.557195\pi\) | |||||||
\(62\) | 6.48573 | + | 8.11896i | 0.823689 | + | 1.03111i | ||||
\(63\) | −0.335595 | + | 0.187926i | −0.0422810 | + | 0.0236765i | ||||
\(64\) | 2.95991 | + | 7.43229i | 0.369989 | + | 0.929036i | ||||
\(65\) | −8.12190 | + | 6.81508i | −1.00740 | + | 0.845307i | ||||
\(66\) | 1.89469 | − | 15.9918i | 0.233220 | − | 1.96845i | ||||
\(67\) | 5.78982 | − | 4.05408i | 0.707339 | − | 0.495284i | −0.163692 | − | 0.986511i | \(-0.552340\pi\) |
0.871031 | + | 0.491227i | \(0.163452\pi\) | |||||||
\(68\) | 0.274385 | + | 2.16036i | 0.0332741 | + | 0.261982i | ||||
\(69\) | 2.31781 | + | 0.0152113i | 0.279032 | + | 0.00183122i | ||||
\(70\) | 0.455493 | − | 0.0288101i | 0.0544418 | − | 0.00344346i | ||||
\(71\) | −7.43582 | − | 4.29307i | −0.882469 | − | 0.509494i | −0.0109975 | − | 0.999940i | \(-0.503501\pi\) |
−0.871472 | + | 0.490446i | \(0.836834\pi\) | |||||||
\(72\) | 2.21123 | + | 8.19210i | 0.260596 | + | 0.965448i | ||||
\(73\) | 8.35979 | − | 4.82653i | 0.978440 | − | 0.564903i | 0.0766412 | − | 0.997059i | \(-0.475580\pi\) |
0.901799 | + | 0.432156i | \(0.142247\pi\) | |||||||
\(74\) | 1.30092 | − | 0.864957i | 0.151229 | − | 0.100549i | ||||
\(75\) | −0.416808 | + | 2.27637i | −0.0481288 | + | 0.262853i | ||||
\(76\) | −1.33971 | − | 3.27660i | −0.153675 | − | 0.375851i | ||||
\(77\) | 0.763916 | + | 0.356220i | 0.0870563 | + | 0.0405950i | ||||
\(78\) | 8.62892 | − | 5.65589i | 0.977033 | − | 0.640404i | ||||
\(79\) | 0.618100 | + | 3.50542i | 0.0695417 | + | 0.394391i | 0.999634 | + | 0.0270640i | \(0.00861578\pi\) |
−0.930092 | + | 0.367327i | \(0.880273\pi\) | |||||||
\(80\) | 1.83890 | − | 9.89931i | 0.205596 | − | 1.10678i | ||||
\(81\) | 1.32966 | + | 8.90124i | 0.147739 | + | 0.989026i | ||||
\(82\) | −0.643267 | − | 4.24381i | −0.0710370 | − | 0.468650i | ||||
\(83\) | 3.37870 | − | 4.82528i | 0.370861 | − | 0.529644i | −0.589734 | − | 0.807598i | \(-0.700767\pi\) |
0.960594 | + | 0.277954i | \(0.0896563\pi\) | |||||||
\(84\) | −0.443466 | − | 0.0243099i | −0.0483862 | − | 0.00265243i | ||||
\(85\) | 1.15833 | − | 2.48404i | 0.125638 | − | 0.269432i | ||||
\(86\) | −14.6705 | + | 3.55435i | −1.58196 | + | 0.383275i | ||||
\(87\) | 5.65139 | + | 8.18482i | 0.605892 | + | 0.877504i | ||||
\(88\) | 11.7380 | − | 14.4218i | 1.25128 | − | 1.53737i | ||||
\(89\) | −2.56454 | + | 1.48064i | −0.271841 | + | 0.156947i | −0.629724 | − | 0.776819i | \(-0.716832\pi\) |
0.357883 | + | 0.933766i | \(0.383499\pi\) | |||||||
\(90\) | 3.14604 | − | 10.2055i | 0.331621 | − | 1.07576i | ||||
\(91\) | 0.139769 | + | 0.521624i | 0.0146517 | + | 0.0546810i | ||||
\(92\) | 2.25069 | + | 1.44834i | 0.234651 | + | 0.151000i | ||||
\(93\) | −0.0835217 | + | 12.7266i | −0.00866079 | + | 1.31969i | ||||
\(94\) | −0.179056 | + | 7.42820i | −0.0184682 | + | 0.766160i | ||||
\(95\) | −0.773647 | + | 4.38757i | −0.0793745 | + | 0.450155i | ||||
\(96\) | −2.91044 | + | 9.35571i | −0.297045 | + | 0.954863i | ||||
\(97\) | 8.37111 | − | 7.02420i | 0.849958 | − | 0.713199i | −0.109823 | − | 0.993951i | \(-0.535028\pi\) |
0.959780 | + | 0.280752i | \(0.0905838\pi\) | |||||||
\(98\) | −3.60054 | + | 9.19654i | −0.363709 | + | 0.928991i | ||||
\(99\) | 14.1280 | − | 13.7619i | 1.41992 | − | 1.38312i | ||||
\(100\) | −1.81431 | + | 1.96191i | −0.181431 | + | 0.196191i | ||||
\(101\) | 11.3665 | − | 5.30027i | 1.13101 | − | 0.527396i | 0.235246 | − | 0.971936i | \(-0.424410\pi\) |
0.895759 | + | 0.444540i | \(0.146633\pi\) | |||||||
\(102\) | −1.40376 | + | 2.26785i | −0.138993 | + | 0.224550i | ||||
\(103\) | −11.1510 | + | 13.2893i | −1.09874 | + | 1.30943i | −0.151663 | + | 0.988432i | \(0.548463\pi\) |
−0.947080 | + | 0.320999i | \(0.895982\pi\) | |||||||
\(104\) | 11.9121 | − | 0.178287i | 1.16808 | − | 0.0174825i | ||||
\(105\) | 0.455773 | + | 0.323614i | 0.0444789 | + | 0.0315815i | ||||
\(106\) | 6.36780 | + | 3.15835i | 0.618495 | + | 0.306766i | ||||
\(107\) | 8.11040 | − | 8.11040i | 0.784062 | − | 0.784062i | −0.196452 | − | 0.980513i | \(-0.562942\pi\) |
0.980513 | + | 0.196452i | \(0.0629419\pi\) | |||||||
\(108\) | −4.20865 | + | 9.50196i | −0.404978 | + | 0.914327i | ||||
\(109\) | 4.07004 | + | 4.07004i | 0.389839 | + | 0.389839i | 0.874630 | − | 0.484791i | \(-0.161104\pi\) |
−0.484791 | + | 0.874630i | \(0.661104\pi\) | |||||||
\(110\) | −22.1783 | + | 7.47208i | −2.11462 | + | 0.712435i | ||||
\(111\) | 1.90491 | + | 0.179262i | 0.180806 | + | 0.0170148i | ||||
\(112\) | −0.417389 | − | 0.297978i | −0.0394396 | − | 0.0281563i | ||||
\(113\) | −11.2096 | − | 9.40599i | −1.05451 | − | 0.884841i | −0.0609519 | − | 0.998141i | \(-0.519414\pi\) |
−0.993561 | + | 0.113299i | \(0.963858\pi\) | |||||||
\(114\) | 1.24996 | − | 4.15138i | 0.117070 | − | 0.388812i | ||||
\(115\) | −1.42360 | − | 3.05291i | −0.132751 | − | 0.284686i | ||||
\(116\) | 0.448560 | + | 11.4763i | 0.0416478 | + | 1.06554i | ||||
\(117\) | 12.5725 | + | 1.26643i | 1.16233 | + | 0.117082i | ||||
\(118\) | −4.86557 | − | 11.1267i | −0.447912 | − | 1.02430i | ||||
\(119\) | −0.0897347 | − | 0.106942i | −0.00822597 | − | 0.00980333i | ||||
\(120\) | 9.37956 | − | 8.00566i | 0.856233 | − | 0.730813i | ||||
\(121\) | −31.7317 | − | 5.59515i | −2.88470 | − | 0.508650i | ||||
\(122\) | −13.0528 | + | 12.4383i | −1.18174 | + | 1.12611i | ||||
\(123\) | 2.65830 | − | 4.53531i | 0.239690 | − | 0.408935i | ||||
\(124\) | −7.95254 | + | 12.3581i | −0.714159 | + | 1.10979i | ||||
\(125\) | −8.90835 | + | 2.38698i | −0.796787 | + | 0.213498i | ||||
\(126\) | −0.403388 | − | 0.364909i | −0.0359366 | − | 0.0325087i | ||||
\(127\) | 1.49615 | + | 2.59141i | 0.132762 | + | 0.229950i | 0.924740 | − | 0.380599i | \(-0.124282\pi\) |
−0.791978 | + | 0.610549i | \(0.790949\pi\) | |||||||
\(128\) | −8.62425 | + | 7.32273i | −0.762283 | + | 0.647244i | ||||
\(129\) | −16.7036 | − | 7.92290i | −1.47067 | − | 0.697572i | ||||
\(130\) | −12.8008 | − | 7.80776i | −1.12270 | − | 0.684786i | ||||
\(131\) | 7.86966 | + | 3.66968i | 0.687576 | + | 0.320622i | 0.734821 | − | 0.678262i | \(-0.237266\pi\) |
−0.0472449 | + | 0.998883i | \(0.515044\pi\) | |||||||
\(132\) | 22.2876 | − | 4.68143i | 1.93989 | − | 0.407466i | ||||
\(133\) | 0.185886 | + | 0.130159i | 0.0161184 | + | 0.0112862i | ||||
\(134\) | 8.04750 | + | 5.92898i | 0.695198 | + | 0.512186i | ||||
\(135\) | 10.8598 | − | 7.28975i | 0.934660 | − | 0.627402i | ||||
\(136\) | −2.77142 | + | 1.34319i | −0.237647 | + | 0.115177i | ||||
\(137\) | 9.49159 | − | 1.67362i | 0.810921 | − | 0.142987i | 0.247213 | − | 0.968961i | \(-0.420485\pi\) |
0.563708 | + | 0.825974i | \(0.309374\pi\) | |||||||
\(138\) | 1.02616 | + | 3.11319i | 0.0873529 | + | 0.265013i | ||||
\(139\) | 0.126832 | − | 0.271993i | 0.0107578 | − | 0.0230701i | −0.900855 | − | 0.434119i | \(-0.857060\pi\) |
0.911613 | + | 0.411049i | \(0.134837\pi\) | |||||||
\(140\) | 0.244277 | + | 0.597441i | 0.0206452 | + | 0.0504930i | ||||
\(141\) | −5.89518 | + | 6.93269i | −0.496464 | + | 0.583838i | ||||
\(142\) | 2.39610 | − | 11.9039i | 0.201076 | − | 0.998952i | ||||
\(143\) | −13.8456 | − | 23.9812i | −1.15782 | − | 2.00541i | ||||
\(144\) | −9.98059 | + | 6.66242i | −0.831716 | + | 0.555202i | ||||
\(145\) | 7.22742 | − | 12.5183i | 0.600205 | − | 1.03959i | ||||
\(146\) | 10.2432 | + | 9.02447i | 0.847729 | + | 0.746870i | ||||
\(147\) | −10.5148 | + | 5.97907i | −0.867247 | + | 0.493145i | ||||
\(148\) | 1.74661 | + | 1.35294i | 0.143570 | + | 0.111211i | ||||
\(149\) | 7.57487 | + | 10.8180i | 0.620558 | + | 0.886248i | 0.999228 | − | 0.0392834i | \(-0.0125075\pi\) |
−0.378671 | + | 0.925532i | \(0.623619\pi\) | |||||||
\(150\) | −3.23899 | + | 0.469235i | −0.264462 | + | 0.0383129i | ||||
\(151\) | 4.81304 | + | 5.73596i | 0.391679 | + | 0.466785i | 0.925464 | − | 0.378835i | \(-0.123675\pi\) |
−0.533785 | + | 0.845620i | \(0.679231\pi\) | |||||||
\(152\) | 3.78637 | − | 3.27494i | 0.307115 | − | 0.265633i | ||||
\(153\) | −3.08397 | + | 1.07685i | −0.249325 | + | 0.0870581i | ||||
\(154\) | −0.132478 | + | 1.18464i | −0.0106753 | + | 0.0954610i | ||||
\(155\) | 16.7629 | − | 7.81666i | 1.34643 | − | 0.627849i | ||||
\(156\) | 11.4762 | + | 9.01067i | 0.918830 | + | 0.721431i | ||||
\(157\) | −1.53189 | − | 17.5096i | −0.122258 | − | 1.39742i | −0.771206 | − | 0.636586i | \(-0.780346\pi\) |
0.648947 | − | 0.760833i | \(-0.275209\pi\) | |||||||
\(158\) | −4.41886 | + | 2.41116i | −0.351546 | + | 0.191822i | ||||
\(159\) | 3.62725 | + | 7.91385i | 0.287660 | + | 0.627609i | ||||
\(160\) | 14.0973 | − | 2.00529i | 1.11449 | − | 0.158532i | ||||
\(161\) | −0.171573 | −0.0135219 | ||||||||
\(162\) | −11.3290 | + | 5.80113i | −0.890093 | + | 0.455780i | ||||
\(163\) | −8.21054 | − | 8.21054i | −0.643099 | − | 0.643099i | 0.308217 | − | 0.951316i | \(-0.400268\pi\) |
−0.951316 | + | 0.308217i | \(0.900268\pi\) | |||||||
\(164\) | 5.39708 | − | 2.77829i | 0.421441 | − | 0.216948i | ||||
\(165\) | −26.8694 | − | 9.97984i | −2.09178 | − | 0.776930i | ||||
\(166\) | 7.99239 | + | 2.34939i | 0.620330 | + | 0.182348i | ||||
\(167\) | −2.15335 | + | 2.56627i | −0.166632 | + | 0.198584i | −0.842898 | − | 0.538073i | \(-0.819152\pi\) |
0.676266 | + | 0.736657i | \(0.263597\pi\) | |||||||
\(168\) | −0.167656 | − | 0.605309i | −0.0129349 | − | 0.0467006i | ||||
\(169\) | 1.62160 | − | 4.45531i | 0.124738 | − | 0.342716i | ||||
\(170\) | 3.85211 | + | 0.430779i | 0.295444 | + | 0.0330393i | ||||
\(171\) | 4.38917 | − | 2.98826i | 0.335649 | − | 0.228518i | ||||
\(172\) | −11.3876 | − | 18.0564i | −0.868296 | − | 1.37679i | ||||
\(173\) | 9.25763 | + | 0.809938i | 0.703845 | + | 0.0615785i | 0.433459 | − | 0.901173i | \(-0.357293\pi\) |
0.270386 | + | 0.962752i | \(0.412849\pi\) | |||||||
\(174\) | −8.41752 | + | 11.2696i | −0.638130 | + | 0.854347i | ||||
\(175\) | 0.0297465 | − | 0.168701i | 0.00224862 | − | 0.0127526i | ||||
\(176\) | 24.6280 | + | 9.21949i | 1.85641 | + | 0.694945i | ||||
\(177\) | 3.94370 | − | 14.3410i | 0.296427 | − | 1.07793i | ||||
\(178\) | −3.14230 | − | 2.76844i | −0.235525 | − | 0.207503i | ||||
\(179\) | 9.00978 | − | 2.41416i | 0.673422 | − | 0.180443i | 0.0941265 | − | 0.995560i | \(-0.469994\pi\) |
0.579296 | + | 0.815117i | \(0.303328\pi\) | |||||||
\(180\) | 15.0979 | − | 0.391738i | 1.12533 | − | 0.0291984i | ||||
\(181\) | 4.31841 | + | 1.15711i | 0.320985 | + | 0.0860076i | 0.415714 | − | 0.909496i | \(-0.363532\pi\) |
−0.0947291 | + | 0.995503i | \(0.530198\pi\) | |||||||
\(182\) | −0.635969 | + | 0.422844i | −0.0471412 | + | 0.0313433i | ||||
\(183\) | −22.0105 | + | 1.78019i | −1.62706 | + | 0.131596i | ||||
\(184\) | −0.924821 | + | 3.67034i | −0.0681787 | + | 0.270581i | ||||
\(185\) | −0.951024 | − | 2.61292i | −0.0699207 | − | 0.192106i | ||||
\(186\) | −17.0939 | + | 5.63444i | −1.25338 | + | 0.413137i | ||||
\(187\) | 5.86386 | + | 4.10592i | 0.428808 | + | 0.300255i | ||||
\(188\) | −10.0361 | + | 3.11405i | −0.731957 | + | 0.227115i | ||||
\(189\) | −0.102746 | − | 0.658228i | −0.00747365 | − | 0.0478790i | ||||
\(190\) | −6.22953 | + | 0.944258i | −0.451937 | + | 0.0685037i | ||||
\(191\) | −4.59343 | − | 26.0506i | −0.332369 | − | 1.88496i | −0.451805 | − | 0.892117i | \(-0.649220\pi\) |
0.119436 | − | 0.992842i | \(-0.461891\pi\) | |||||||
\(192\) | −13.8526 | + | 0.323780i | −0.999727 | + | 0.0233668i | ||||
\(193\) | −10.8867 | + | 3.96244i | −0.783644 | + | 0.285223i | −0.702691 | − | 0.711495i | \(-0.748018\pi\) |
−0.0809524 | + | 0.996718i | \(0.525796\pi\) | |||||||
\(194\) | 13.1936 | + | 8.04733i | 0.947243 | + | 0.577765i | ||||
\(195\) | −6.16743 | − | 17.2972i | −0.441659 | − | 1.23868i | ||||
\(196\) | −13.9509 | − | 0.672961i | −0.996493 | − | 0.0480686i | ||||
\(197\) | 3.68580 | + | 0.987608i | 0.262602 | + | 0.0703641i | 0.387718 | − | 0.921778i | \(-0.373263\pi\) |
−0.125115 | + | 0.992142i | \(0.539930\pi\) | |||||||
\(198\) | 24.8228 | + | 12.7204i | 1.76408 | + | 0.904002i | ||||
\(199\) | 19.6487 | + | 11.3442i | 1.39286 | + | 0.804168i | 0.993631 | − | 0.112683i | \(-0.0359445\pi\) |
0.399229 | + | 0.916851i | \(0.369278\pi\) | |||||||
\(200\) | −3.44855 | − | 1.54568i | −0.243849 | − | 0.109296i | ||||
\(201\) | 3.09085 | + | 11.8456i | 0.218012 | + | 0.835527i | ||||
\(202\) | 12.2356 | + | 12.8401i | 0.860896 | + | 0.903425i | ||||
\(203\) | −0.422294 | − | 0.603099i | −0.0296392 | − | 0.0423292i | ||||
\(204\) | −3.67319 | − | 0.857326i | −0.257175 | − | 0.0600248i | ||||
\(205\) | −7.61078 | − | 0.665857i | −0.531560 | − | 0.0465055i | ||||
\(206\) | −22.8452 | − | 8.94412i | −1.59170 | − | 0.623166i | ||||
\(207\) | −1.42249 | + | 3.75420i | −0.0988699 | + | 0.260935i | ||||
\(208\) | 5.61755 | + | 15.8840i | 0.389507 | + | 1.10136i | ||||
\(209\) | −10.9344 | − | 3.97980i | −0.756349 | − | 0.275288i | ||||
\(210\) | −0.227913 | + | 0.756945i | −0.0157275 | + | 0.0522342i | ||||
\(211\) | −1.22374 | − | 13.9874i | −0.0842457 | − | 0.962932i | −0.914243 | − | 0.405166i | \(-0.867214\pi\) |
0.829998 | − | 0.557767i | \(-0.188342\pi\) | |||||||
\(212\) | −1.35759 | + | 9.96017i | −0.0932395 | + | 0.684067i | ||||
\(213\) | 11.4548 | − | 9.48433i | 0.784872 | − | 0.649856i | ||||
\(214\) | 14.5316 | + | 7.20748i | 0.993357 | + | 0.492693i | ||||
\(215\) | 26.8674i | 1.83234i | ||||||||
\(216\) | −14.6348 | − | 1.35005i | −0.995772 | − | 0.0918590i | ||||
\(217\) | − | 0.942070i | − | 0.0639518i | ||||||
\(218\) | −3.61693 | + | 7.29237i | −0.244969 | + | 0.493902i | ||||
\(219\) | 2.79521 | + | 16.4843i | 0.188883 | + | 1.11390i | ||||
\(220\) | −20.0281 | − | 26.3494i | −1.35029 | − | 1.77648i | ||||
\(221\) | 0.399723 | + | 4.56886i | 0.0268883 | + | 0.307334i | ||||
\(222\) | 0.619867 | + | 2.63389i | 0.0416028 | + | 0.176775i | ||||
\(223\) | 6.14227 | + | 2.23560i | 0.411317 | + | 0.149707i | 0.539387 | − | 0.842058i | \(-0.318656\pi\) |
−0.128070 | + | 0.991765i | \(0.540878\pi\) | |||||||
\(224\) | 0.210887 | − | 0.693928i | 0.0140905 | − | 0.0463650i | ||||
\(225\) | −3.44472 | − | 2.04956i | −0.229648 | − | 0.136637i | ||||
\(226\) | 7.54445 | − | 19.2701i | 0.501849 | − | 1.28183i | ||||
\(227\) | −13.2008 | − | 1.15492i | −0.876167 | − | 0.0766547i | −0.359807 | − | 0.933027i | \(-0.617158\pi\) |
−0.516359 | + | 0.856372i | \(0.672713\pi\) | |||||||
\(228\) | 6.12805 | − | 0.199252i | 0.405840 | − | 0.0131958i | ||||
\(229\) | 2.23199 | + | 3.18761i | 0.147494 | + | 0.210643i | 0.886100 | − | 0.463494i | \(-0.153404\pi\) |
−0.738606 | + | 0.674137i | \(0.764516\pi\) | |||||||
\(230\) | 3.44871 | − | 3.28637i | 0.227401 | − | 0.216697i | ||||
\(231\) | −1.03908 | + | 1.02553i | −0.0683661 | + | 0.0674747i | ||||
\(232\) | −15.1779 | + | 5.78298i | −0.996478 | + | 0.379671i | ||||
\(233\) | 2.96725 | + | 1.71314i | 0.194391 | + | 0.112232i | 0.594036 | − | 0.804438i | \(-0.297533\pi\) |
−0.399646 | + | 0.916670i | \(0.630867\pi\) | |||||||
\(234\) | 3.97952 | + | 17.4214i | 0.260149 | + | 1.13887i | ||||
\(235\) | 12.7747 | + | 3.42297i | 0.833328 | + | 0.223290i | ||||
\(236\) | 12.7150 | − | 11.5448i | 0.827679 | − | 0.751503i | ||||
\(237\) | −6.06441 | − | 1.11040i | −0.393926 | − | 0.0721285i | ||||
\(238\) | 0.102805 | − | 0.168549i | 0.00666388 | − | 0.0109254i | ||||
\(239\) | −18.1822 | + | 6.61778i | −1.17611 | + | 0.428069i | −0.854826 | − | 0.518915i | \(-0.826336\pi\) |
−0.321283 | + | 0.946983i | \(0.604114\pi\) | |||||||
\(240\) | 14.9643 | + | 8.95570i | 0.965939 | + | 0.578088i | ||||
\(241\) | −2.12478 | − | 12.0502i | −0.136869 | − | 0.776223i | −0.973540 | − | 0.228517i | \(-0.926612\pi\) |
0.836671 | − | 0.547706i | \(-0.184499\pi\) | |||||||
\(242\) | −6.82903 | − | 45.0530i | −0.438987 | − | 2.89612i | ||||
\(243\) | −15.2546 | − | 3.20910i | −0.978581 | − | 0.205864i | ||||
\(244\) | −22.5634 | − | 11.8771i | −1.44447 | − | 0.760351i | ||||
\(245\) | 14.3997 | + | 10.0828i | 0.919962 | + | 0.644165i | ||||
\(246\) | 7.27848 | + | 1.51484i | 0.464059 | + | 0.0965824i | ||||
\(247\) | −2.54979 | − | 7.00550i | −0.162239 | − | 0.445749i | ||||
\(248\) | −20.1530 | − | 5.07799i | −1.27972 | − | 0.322452i | ||||
\(249\) | 5.79711 | + | 8.39586i | 0.367377 | + | 0.532066i | ||||
\(250\) | −7.22137 | − | 10.8611i | −0.456719 | − | 0.686919i | ||||
\(251\) | −29.6132 | − | 7.93483i | −1.86917 | − | 0.500842i | −0.999980 | − | 0.00635956i | \(-0.997976\pi\) |
−0.869188 | − | 0.494482i | \(-0.835358\pi\) | |||||||
\(252\) | 0.306910 | − | 0.705384i | 0.0193335 | − | 0.0444350i | ||||
\(253\) | 8.49805 | − | 2.27705i | 0.534268 | − | 0.143157i | ||||
\(254\) | −2.79745 | + | 3.17522i | −0.175528 | + | 0.199231i | ||||
\(255\) | 3.33472 | + | 3.37878i | 0.208828 | + | 0.211587i | ||||
\(256\) | −13.7080 | − | 8.25179i | −0.856747 | − | 0.515737i | ||||
\(257\) | 3.55423 | − | 20.1570i | 0.221707 | − | 1.25736i | −0.647175 | − | 0.762342i | \(-0.724050\pi\) |
0.868881 | − | 0.495020i | \(-0.164839\pi\) | |||||||
\(258\) | 3.07613 | − | 25.9635i | 0.191512 | − | 1.61642i | ||||
\(259\) | −0.141089 | − | 0.0123437i | −0.00876687 | − | 0.000767002i | ||||
\(260\) | 4.68405 | − | 20.6810i | 0.290493 | − | 1.28258i | ||||
\(261\) | −16.6976 | + | 4.24003i | −1.03356 | + | 0.262451i | ||||
\(262\) | −1.36475 | + | 12.2038i | −0.0843144 | + | 0.753956i | ||||
\(263\) | 4.88736 | − | 13.4279i | 0.301367 | − | 0.828000i | −0.692896 | − | 0.721038i | \(-0.743665\pi\) |
0.994263 | − | 0.106962i | \(-0.0341123\pi\) | |||||||
\(264\) | 16.3374 | + | 27.7560i | 1.00550 | + | 1.70826i | ||||
\(265\) | 8.13229 | − | 9.69169i | 0.499563 | − | 0.595356i | ||||
\(266\) | −0.0905063 | + | 0.307894i | −0.00554930 | + | 0.0188782i | ||||
\(267\) | −0.857487 | − | 5.05689i | −0.0524774 | − | 0.309477i | ||||
\(268\) | −4.31235 | + | 13.4623i | −0.263418 | + | 0.822342i | ||||
\(269\) | 1.45998 | + | 1.45998i | 0.0890166 | + | 0.0890166i | 0.750213 | − | 0.661196i | \(-0.229951\pi\) |
−0.661196 | + | 0.750213i | \(0.729951\pi\) | |||||||
\(270\) | 14.6732 | + | 11.2627i | 0.892980 | + | 0.685427i | ||||
\(271\) | −21.3758 | −1.29849 | −0.649245 | − | 0.760579i | \(-0.724915\pi\) | ||||
−0.649245 | + | 0.760579i | \(0.724915\pi\) | |||||||
\(272\) | −3.05150 | − | 3.10776i | −0.185024 | − | 0.188436i | ||||
\(273\) | −0.931236 | − | 0.0876344i | −0.0563610 | − | 0.00530388i | ||||
\(274\) | 6.52867 | + | 11.9649i | 0.394412 | + | 0.722827i | ||||
\(275\) | 0.765576 | + | 8.75057i | 0.0461659 | + | 0.527679i | ||||
\(276\) | −3.70895 | + | 2.78095i | −0.223253 | + | 0.167393i | ||||
\(277\) | −20.2892 | + | 9.46102i | −1.21906 | + | 0.568458i | −0.922293 | − | 0.386491i | \(-0.873687\pi\) |
−0.296769 | + | 0.954949i | \(0.595909\pi\) | |||||||
\(278\) | 0.421791 | + | 0.0471687i | 0.0252974 | + | 0.00282899i | ||||
\(279\) | −20.6135 | − | 7.81058i | −1.23410 | − | 0.467607i | ||||
\(280\) | −0.690391 | + | 0.597139i | −0.0412587 | + | 0.0356859i | ||||
\(281\) | 20.1576 | + | 24.0228i | 1.20250 | + | 1.43308i | 0.872160 | + | 0.489221i | \(0.162719\pi\) |
0.330340 | + | 0.943862i | \(0.392837\pi\) | |||||||
\(282\) | −11.9530 | − | 4.77041i | −0.711790 | − | 0.284074i | ||||
\(283\) | −12.0114 | − | 17.1541i | −0.714004 | − | 1.01970i | −0.998143 | − | 0.0609200i | \(-0.980597\pi\) |
0.284139 | − | 0.958783i | \(-0.408292\pi\) | |||||||
\(284\) | 17.0354 | − | 2.16365i | 1.01087 | − | 0.128389i | ||||
\(285\) | −6.65742 | − | 3.90214i | −0.394351 | − | 0.231143i | ||||
\(286\) | 25.8879 | − | 29.3839i | 1.53078 | − | 1.73750i | ||||
\(287\) | −0.194565 | + | 0.336997i | −0.0114848 | + | 0.0198923i | ||||
\(288\) | −13.4354 | − | 10.3677i | −0.791690 | − | 0.610922i | ||||
\(289\) | 7.90719 | + | 13.6957i | 0.465129 | + | 0.805627i | ||||
\(290\) | 20.0403 | + | 4.03386i | 1.17681 | + | 0.236876i | ||||
\(291\) | 6.35667 | + | 17.8280i | 0.372635 | + | 1.04510i | ||||
\(292\) | −7.46952 | + | 17.8026i | −0.437120 | + | 1.04182i | ||||
\(293\) | 3.87977 | − | 8.32019i | 0.226658 | − | 0.486071i | −0.759785 | − | 0.650175i | \(-0.774696\pi\) |
0.986443 | + | 0.164104i | \(0.0524734\pi\) | |||||||
\(294\) | −12.7608 | − | 11.3922i | −0.744226 | − | 0.664407i | ||||
\(295\) | −21.2868 | + | 3.75344i | −1.23937 | + | 0.218534i | ||||
\(296\) | −1.02457 | + | 2.95168i | −0.0595517 | + | 0.171563i | ||||
\(297\) | 13.8247 | + | 31.2386i | 0.802193 | + | 1.81265i | ||||
\(298\) | −11.0780 | + | 15.0364i | −0.641734 | + | 0.871037i | ||||
\(299\) | 4.61726 | + | 3.23304i | 0.267023 | + | 0.186971i | ||||
\(300\) | −2.09135 | − | 4.12901i | −0.120744 | − | 0.238388i | ||||
\(301\) | 1.24026 | + | 0.578342i | 0.0714873 | + | 0.0333351i | ||||
\(302\) | −5.51410 | + | 9.04034i | −0.317301 | + | 0.520213i | ||||
\(303\) | 1.75119 | + | 21.6518i | 0.100603 | + | 1.24386i | ||||
\(304\) | 6.09870 | + | 3.59576i | 0.349784 | + | 0.206231i | ||||
\(305\) | 16.0460 | + | 27.7924i | 0.918789 | + | 1.59139i | ||||
\(306\) | −2.83568 | − | 3.64691i | −0.162105 | − | 0.208480i | ||||
\(307\) | −9.94484 | + | 2.66471i | −0.567582 | + | 0.152083i | −0.531188 | − | 0.847254i | \(-0.678254\pi\) |
−0.0363947 | + | 0.999337i | \(0.511587\pi\) | |||||||
\(308\) | −1.64747 | + | 0.357348i | −0.0938731 | + | 0.0203618i | ||||
\(309\) | −14.8526 | − | 26.1199i | −0.844937 | − | 1.48591i | ||||
\(310\) | 18.0447 | + | 18.9361i | 1.02487 | + | 1.07550i | ||||
\(311\) | −25.6427 | − | 4.52150i | −1.45406 | − | 0.256390i | −0.609900 | − | 0.792478i | \(-0.708791\pi\) |
−0.844162 | + | 0.536088i | \(0.819902\pi\) | |||||||
\(312\) | −6.89429 | + | 19.4489i | −0.390312 | + | 1.10108i | ||||
\(313\) | −12.9411 | − | 15.4226i | −0.731474 | − | 0.871737i | 0.264218 | − | 0.964463i | \(-0.414886\pi\) |
−0.995692 | + | 0.0927262i | \(0.970442\pi\) | |||||||
\(314\) | 22.7746 | − | 9.95906i | 1.28525 | − | 0.562022i | ||||
\(315\) | −0.800304 | + | 0.544866i | −0.0450920 | + | 0.0306997i | ||||
\(316\) | −5.22665 | − | 4.83344i | −0.294022 | − | 0.271903i | ||||
\(317\) | −7.41656 | − | 15.9049i | −0.416555 | − | 0.893306i | −0.996881 | − | 0.0789214i | \(-0.974852\pi\) |
0.580325 | − | 0.814385i | \(-0.302925\pi\) | |||||||
\(318\) | −8.96832 | + | 8.43453i | −0.502918 | + | 0.472985i | ||||
\(319\) | 28.9204 | + | 24.2671i | 1.61923 | + | 1.35870i | ||||
\(320\) | 9.05277 | + | 17.9877i | 0.506065 | + | 1.00555i | ||||
\(321\) | 8.27753 | + | 18.0597i | 0.462007 | + | 1.00800i | ||||
\(322\) | −0.0774695 | − | 0.229942i | −0.00431721 | − | 0.0128141i | ||||
\(323\) | 1.36275 | + | 1.36275i | 0.0758256 | + | 0.0758256i | ||||
\(324\) | −12.8900 | − | 12.5638i | −0.716110 | − | 0.697987i | ||||
\(325\) | −3.97943 | + | 3.97943i | −0.220739 | + | 0.220739i | ||||
\(326\) | 7.29647 | − | 14.7110i | 0.404114 | − | 0.814766i | ||||
\(327\) | −9.06290 | + | 4.15391i | −0.501180 | + | 0.229712i | ||||
\(328\) | 6.16037 | + | 5.97868i | 0.340149 | + | 0.330117i | ||||
\(329\) | 0.432996 | − | 0.516025i | 0.0238718 | − | 0.0284494i | ||||
\(330\) | 1.24274 | − | 40.5164i | 0.0684106 | − | 2.23036i | ||||
\(331\) | −9.24838 | + | 4.31259i | −0.508337 | + | 0.237041i | −0.659827 | − | 0.751417i | \(-0.729371\pi\) |
0.151490 | + | 0.988459i | \(0.451593\pi\) | |||||||
\(332\) | 0.460126 | + | 11.7722i | 0.0252527 | + | 0.646082i | ||||
\(333\) | −1.43985 | + | 2.98484i | −0.0789032 | + | 0.163568i | ||||
\(334\) | −4.41159 | − | 1.72718i | −0.241392 | − | 0.0945073i | ||||
\(335\) | 13.6291 | − | 11.4361i | 0.744635 | − | 0.624823i | ||||
\(336\) | 0.735531 | − | 0.498004i | 0.0401265 | − | 0.0271683i | ||||
\(337\) | 2.85716 | − | 16.2038i | 0.155640 | − | 0.882676i | −0.802559 | − | 0.596573i | \(-0.796529\pi\) |
0.958199 | − | 0.286103i | \(-0.0923601\pi\) | |||||||
\(338\) | 6.70318 | + | 0.161579i | 0.364605 | + | 0.00878876i | ||||
\(339\) | 22.0324 | − | 12.5283i | 1.19663 | − | 0.680446i | ||||
\(340\) | 1.16200 | + | 5.35709i | 0.0630180 | + | 0.290529i | ||||
\(341\) | 12.5028 | + | 46.6609i | 0.677062 | + | 2.52683i | ||||
\(342\) | 5.98667 | + | 4.53308i | 0.323722 | + | 0.245121i | ||||
\(343\) | 1.55264 | − | 0.896416i | 0.0838346 | − | 0.0484019i | ||||
\(344\) | 19.0573 | − | 23.4145i | 1.02750 | − | 1.26243i | ||||
\(345\) | 5.81546 | − | 0.470351i | 0.313094 | − | 0.0253228i | ||||
\(346\) | 3.09458 | + | 12.7728i | 0.166365 | + | 0.686667i | ||||
\(347\) | 13.3278 | − | 28.5815i | 0.715473 | − | 1.53434i | −0.124805 | − | 0.992181i | \(-0.539831\pi\) |
0.840278 | − | 0.542155i | \(-0.182392\pi\) | |||||||
\(348\) | −18.9042 | − | 6.19262i | −1.01337 | − | 0.331959i | ||||
\(349\) | 5.04887 | − | 7.21053i | 0.270260 | − | 0.385971i | −0.660965 | − | 0.750417i | \(-0.729853\pi\) |
0.931225 | + | 0.364446i | \(0.118742\pi\) | |||||||
\(350\) | 0.239523 | − | 0.0363064i | 0.0128031 | − | 0.00194066i | ||||
\(351\) | −9.63829 | + | 19.6499i | −0.514454 | + | 1.04883i | ||||
\(352\) | −1.23576 | + | 37.1692i | −0.0658662 | + | 1.98113i | ||||
\(353\) | −1.83574 | − | 10.4110i | −0.0977065 | − | 0.554121i | −0.993884 | − | 0.110426i | \(-0.964778\pi\) |
0.896178 | − | 0.443695i | \(-0.146333\pi\) | |||||||
\(354\) | 21.0004 | − | 1.18997i | 1.11616 | − | 0.0632461i | ||||
\(355\) | −19.5878 | − | 9.13394i | −1.03961 | − | 0.484779i | ||||
\(356\) | 2.29143 | − | 5.46131i | 0.121445 | − | 0.289449i | ||||
\(357\) | 0.227754 | − | 0.0812070i | 0.0120540 | − | 0.00429793i | ||||
\(358\) | 7.30359 | + | 10.9848i | 0.386007 | + | 0.580566i | ||||
\(359\) | 32.5041 | − | 18.7663i | 1.71550 | − | 0.990446i | 0.788799 | − | 0.614651i | \(-0.210703\pi\) |
0.926703 | − | 0.375795i | \(-0.122630\pi\) | |||||||
\(360\) | 7.34208 | + | 20.0573i | 0.386962 | + | 1.05711i | ||||
\(361\) | 13.7415 | + | 7.93364i | 0.723235 | + | 0.417560i | ||||
\(362\) | 0.399108 | + | 6.30998i | 0.0209767 | + | 0.331645i | ||||
\(363\) | 28.2209 | − | 48.1476i | 1.48121 | − | 2.52709i | ||||
\(364\) | −0.853849 | − | 0.661399i | −0.0447539 | − | 0.0346667i | ||||
\(365\) | 19.9040 | − | 13.9370i | 1.04182 | − | 0.729493i | ||||
\(366\) | −12.3241 | − | 28.6945i | −0.644190 | − | 1.49989i | ||||
\(367\) | 3.19171 | − | 2.67816i | 0.166606 | − | 0.139799i | −0.555673 | − | 0.831401i | \(-0.687539\pi\) |
0.722279 | + | 0.691602i | \(0.243095\pi\) | |||||||
\(368\) | −5.33655 | + | 0.417806i | −0.278187 | + | 0.0217796i | ||||
\(369\) | 5.76073 | + | 7.05129i | 0.299891 | + | 0.367075i | ||||
\(370\) | 3.07241 | − | 2.45436i | 0.159727 | − | 0.127596i | ||||
\(371\) | −0.272335 | − | 0.584025i | −0.0141389 | − | 0.0303211i | ||||
\(372\) | −15.2696 | − | 20.3650i | −0.791689 | − | 1.05588i | ||||
\(373\) | 23.8312 | − | 2.08496i | 1.23394 | − | 0.107955i | 0.548538 | − | 0.836125i | \(-0.315184\pi\) |
0.685397 | + | 0.728170i | \(0.259629\pi\) | |||||||
\(374\) | −2.85506 | + | 9.71265i | −0.147632 | + | 0.502229i | ||||
\(375\) | 1.49663 | − | 15.9037i | 0.0772856 | − | 0.821266i | ||||
\(376\) | −8.70498 | − | 12.0443i | −0.448925 | − | 0.621135i | ||||
\(377\) | 24.1877i | 1.24573i | ||||||||
\(378\) | 0.835762 | − | 0.434905i | 0.0429870 | − | 0.0223691i | ||||
\(379\) | −20.0778 | + | 20.0778i | −1.03133 | + | 1.03133i | −0.0318353 | + | 0.999493i | \(0.510135\pi\) |
−0.999493 | + | 0.0318353i | \(0.989865\pi\) | |||||||
\(380\) | −4.07828 | − | 7.92243i | −0.209211 | − | 0.406412i | ||||
\(381\) | −5.10988 | + | 0.866472i | −0.261787 | + | 0.0443907i | ||||
\(382\) | 32.8389 | − | 17.9186i | 1.68019 | − | 0.916796i | ||||
\(383\) | 5.94574 | + | 4.98907i | 0.303813 | + | 0.254929i | 0.781929 | − | 0.623367i | \(-0.214236\pi\) |
−0.478116 | + | 0.878297i | \(0.658680\pi\) | |||||||
\(384\) | −6.68873 | − | 18.4190i | −0.341333 | − | 0.939942i | ||||
\(385\) | 1.99373 | + | 0.725660i | 0.101610 | + | 0.0369831i | ||||
\(386\) | −10.2261 | − | 12.8012i | −0.520494 | − | 0.651564i | ||||
\(387\) | 22.9376 | − | 22.3432i | 1.16598 | − | 1.13577i | ||||
\(388\) | −4.82778 | + | 21.3155i | −0.245094 | + | 1.08213i | ||||
\(389\) | −1.08652 | + | 12.4190i | −0.0550888 | + | 0.629668i | 0.917592 | + | 0.397523i | \(0.130130\pi\) |
−0.972681 | + | 0.232145i | \(0.925425\pi\) | |||||||
\(390\) | 20.3969 | − | 16.0757i | 1.03284 | − | 0.814025i | ||||
\(391\) | −1.43499 | − | 0.253028i | −0.0725708 | − | 0.0127962i | ||||
\(392\) | −5.39728 | − | 19.0008i | −0.272604 | − | 0.959685i | ||||
\(393\) | −10.7043 | + | 10.5647i | −0.539960 | + | 0.532919i | ||||
\(394\) | 0.340643 | + | 5.38563i | 0.0171613 | + | 0.271324i | ||||
\(395\) | 2.31898 | + | 8.65454i | 0.116680 | + | 0.435457i | ||||
\(396\) | −5.83978 | + | 39.0110i | −0.293460 | + | 1.96038i | ||||
\(397\) | −6.55368 | + | 24.4586i | −0.328920 | + | 1.22754i | 0.581393 | + | 0.813623i | \(0.302508\pi\) |
−0.910313 | + | 0.413922i | \(0.864159\pi\) | |||||||
\(398\) | −6.33156 | + | 31.4553i | −0.317372 | + | 1.57671i | ||||
\(399\) | −0.323437 | + | 0.223324i | −0.0161921 | + | 0.0111802i | ||||
\(400\) | 0.514413 | − | 5.31965i | 0.0257207 | − | 0.265982i | ||||
\(401\) | 9.36476 | − | 3.40849i | 0.467654 | − | 0.170212i | −0.0974356 | − | 0.995242i | \(-0.531064\pi\) |
0.565089 | + | 0.825030i | \(0.308842\pi\) | |||||||
\(402\) | −14.4799 | + | 9.49095i | −0.722191 | + | 0.473366i | ||||
\(403\) | −17.7519 | + | 25.3523i | −0.884284 | + | 1.26289i | ||||
\(404\) | −11.6835 | + | 22.1958i | −0.581278 | + | 1.10428i | ||||
\(405\) | 5.28702 | + | 22.0289i | 0.262714 | + | 1.09463i | ||||
\(406\) | 0.617594 | − | 0.838271i | 0.0306507 | − | 0.0416027i | ||||
\(407\) | 7.15201 | − | 1.26109i | 0.354512 | − | 0.0625100i | ||||
\(408\) | −0.509551 | − | 5.30990i | −0.0252266 | − | 0.262879i | ||||
\(409\) | −4.03513 | − | 11.0864i | −0.199525 | − | 0.548189i | 0.799067 | − | 0.601242i | \(-0.205327\pi\) |
−0.998592 | + | 0.0530525i | \(0.983105\pi\) | |||||||
\(410\) | −2.54408 | − | 10.5006i | −0.125643 | − | 0.518587i | ||||
\(411\) | −3.00663 | + | 16.4205i | −0.148306 | + | 0.809966i | ||||
\(412\) | 1.67171 | − | 34.6555i | 0.0823591 | − | 1.70736i | ||||
\(413\) | −0.284948 | + | 1.06344i | −0.0140214 | + | 0.0523285i | ||||
\(414\) | −5.67365 | − | 0.211302i | −0.278845 | − | 0.0103849i | ||||
\(415\) | 7.41378 | − | 12.8410i | 0.363928 | − | 0.630342i | ||||
\(416\) | −18.7513 | + | 14.7007i | −0.919357 | + | 0.720759i | ||||
\(417\) | 0.365139 | + | 0.369963i | 0.0178809 | + | 0.0181172i | ||||
\(418\) | 0.396555 | − | 16.4512i | 0.0193961 | − | 0.804656i | ||||
\(419\) | −24.4486 | + | 17.1191i | −1.19439 | + | 0.836321i | −0.989791 | − | 0.142524i | \(-0.954478\pi\) |
−0.204600 | + | 0.978846i | \(0.565589\pi\) | |||||||
\(420\) | −1.11736 | + | 0.0363309i | −0.0545217 | + | 0.00177276i | ||||
\(421\) | 1.38542 | − | 15.8354i | 0.0675212 | − | 0.771771i | −0.884660 | − | 0.466237i | \(-0.845609\pi\) |
0.952181 | − | 0.305534i | \(-0.0988350\pi\) | |||||||
\(422\) | 18.1933 | − | 7.95571i | 0.885636 | − | 0.387278i | ||||
\(423\) | −7.70124 | − | 13.7527i | −0.374447 | − | 0.668679i | ||||
\(424\) | −13.9616 | + | 2.67783i | −0.678034 | + | 0.130047i | ||||
\(425\) | 0.497584 | − | 1.36710i | 0.0241364 | − | 0.0663142i | ||||
\(426\) | 17.8830 | + | 11.0693i | 0.866434 | + | 0.536309i | ||||
\(427\) | 1.62836 | − | 0.142463i | 0.0788018 | − | 0.00689426i | ||||
\(428\) | −3.09807 | + | 22.7295i | −0.149751 | + | 1.09867i | ||||
\(429\) | 47.2874 | − | 8.01843i | 2.28306 | − | 0.387133i | ||||
\(430\) | −36.0076 | + | 12.1313i | −1.73644 | + | 0.585024i | ||||
\(431\) | 11.3556 | 0.546981 | 0.273491 | − | 0.961875i | \(-0.411822\pi\) | ||||
0.273491 | + | 0.961875i | \(0.411822\pi\) | |||||||
\(432\) | −4.79865 | − | 20.2231i | −0.230875 | − | 0.972983i | ||||
\(433\) | 11.0508 | 0.531065 | 0.265533 | − | 0.964102i | \(-0.414452\pi\) | ||||
0.265533 | + | 0.964102i | \(0.414452\pi\) | |||||||
\(434\) | 1.26256 | − | 0.425368i | 0.0606047 | − | 0.0204183i | ||||
\(435\) | 15.9670 | + | 19.2843i | 0.765557 | + | 0.924611i | ||||
\(436\) | −11.4063 | − | 1.55470i | −0.546264 | − | 0.0744568i | ||||
\(437\) | 2.35957 | − | 0.206436i | 0.112874 | − | 0.00987515i | ||||
\(438\) | −20.8301 | + | 11.1892i | −0.995299 | + | 0.534640i | ||||
\(439\) | 6.87962 | − | 18.9016i | 0.328347 | − | 0.902125i | −0.660184 | − | 0.751104i | \(-0.729522\pi\) |
0.988531 | − | 0.151021i | \(-0.0482561\pi\) | |||||||
\(440\) | 26.2702 | − | 38.7390i | 1.25238 | − | 1.84681i | ||||
\(441\) | −3.36694 | − | 20.6784i | −0.160330 | − | 0.984684i | ||||
\(442\) | −5.94268 | + | 2.59866i | −0.282664 | + | 0.123606i | ||||
\(443\) | −0.163331 | + | 1.86688i | −0.00776007 | + | 0.0886980i | −0.999087 | − | 0.0427203i | \(-0.986398\pi\) |
0.991327 | + | 0.131418i | \(0.0419531\pi\) | |||||||
\(444\) | −3.25005 | + | 2.02001i | −0.154241 | + | 0.0958655i | ||||
\(445\) | −6.10597 | + | 4.27545i | −0.289451 | + | 0.202676i | ||||
\(446\) | −0.222760 | + | 9.24128i | −0.0105480 | + | 0.437587i | ||||
\(447\) | −22.1331 | + | 5.77513i | −1.04686 | + | 0.273154i | ||||
\(448\) | 1.02522 | − | 0.0306957i | 0.0484371 | − | 0.00145023i | ||||
\(449\) | 5.18937 | − | 8.98824i | 0.244901 | − | 0.424181i | −0.717203 | − | 0.696865i | \(-0.754578\pi\) |
0.962104 | + | 0.272683i | \(0.0879111\pi\) | |||||||
\(450\) | 1.19143 | − | 5.54203i | 0.0561648 | − | 0.261254i | ||||
\(451\) | 5.16437 | − | 19.2737i | 0.243181 | − | 0.907563i | ||||
\(452\) | 29.2323 | + | 1.41010i | 1.37497 | + | 0.0663255i | ||||
\(453\) | −12.2159 | + | 4.35565i | −0.573952 | + | 0.204646i | ||||
\(454\) | −4.41266 | − | 18.2131i | −0.207097 | − | 0.854784i | ||||
\(455\) | 0.464919 | + | 1.27735i | 0.0217957 | + | 0.0598833i | ||||
\(456\) | 3.03400 | + | 8.12282i | 0.142080 | + | 0.380386i | ||||
\(457\) | 3.41611 | − | 0.602352i | 0.159799 | − | 0.0281768i | −0.0931764 | − | 0.995650i | \(-0.529702\pi\) |
0.252975 | + | 0.967473i | \(0.418591\pi\) | |||||||
\(458\) | −3.26423 | + | 4.43059i | −0.152527 | + | 0.207028i | ||||
\(459\) | 0.111385 | − | 5.65677i | 0.00519901 | − | 0.264036i | ||||
\(460\) | 5.96155 | + | 3.13808i | 0.277959 | + | 0.146314i | ||||
\(461\) | −10.8755 | + | 15.5319i | −0.506524 | + | 0.723391i | −0.988236 | − | 0.152939i | \(-0.951126\pi\) |
0.481712 | + | 0.876330i | \(0.340015\pi\) | |||||||
\(462\) | −1.84357 | − | 0.929514i | −0.0857708 | − | 0.0432449i | ||||
\(463\) | −11.7807 | + | 4.28782i | −0.547495 | + | 0.199272i | −0.600933 | − | 0.799299i | \(-0.705204\pi\) |
0.0534381 | + | 0.998571i | \(0.482982\pi\) | |||||||
\(464\) | −14.6035 | − | 17.7302i | −0.677952 | − | 0.823105i | ||||
\(465\) | 2.58259 | + | 31.9314i | 0.119765 | + | 1.48078i | ||||
\(466\) | −0.956159 | + | 4.75022i | −0.0442932 | + | 0.220050i | ||||
\(467\) | −6.65140 | + | 24.8233i | −0.307790 | + | 1.14869i | 0.622727 | + | 0.782439i | \(0.286025\pi\) |
−0.930517 | + | 0.366248i | \(0.880642\pi\) | |||||||
\(468\) | −21.5513 | + | 13.1995i | −0.996207 | + | 0.610149i | ||||
\(469\) | −0.234541 | − | 0.875318i | −0.0108301 | − | 0.0404184i | ||||
\(470\) | 1.18064 | + | 18.6661i | 0.0544589 | + | 0.861004i | ||||
\(471\) | 29.3537 | + | 8.07214i | 1.35255 | + | 0.371944i | ||||
\(472\) | 21.2135 | + | 11.8279i | 0.976428 | + | 0.544423i | ||||
\(473\) | −69.1058 | − | 12.1852i | −3.17749 | − | 0.560277i | ||||
\(474\) | −1.25007 | − | 8.62887i | −0.0574178 | − | 0.396337i | ||||
\(475\) | −0.206111 | + | 2.35586i | −0.00945702 | + | 0.108094i | ||||
\(476\) | 0.272308 | + | 0.0616753i | 0.0124812 | + | 0.00282688i | ||||
\(477\) | −15.0370 | + | 1.11691i | −0.688496 | + | 0.0511396i | ||||
\(478\) | −17.0788 | − | 21.3796i | −0.781168 | − | 0.977881i | ||||
\(479\) | 13.7205 | + | 4.99384i | 0.626904 | + | 0.228174i | 0.635883 | − | 0.771785i | \(-0.280636\pi\) |
−0.00897942 | + | 0.999960i | \(0.502858\pi\) | |||||||
\(480\) | −5.24566 | + | 24.0988i | −0.239431 | + | 1.09995i | ||||
\(481\) | 3.56430 | + | 2.99080i | 0.162518 | + | 0.136369i | ||||
\(482\) | 15.1903 | − | 8.28859i | 0.691897 | − | 0.377535i | ||||
\(483\) | 0.103470 | − | 0.278579i | 0.00470803 | − | 0.0126758i | ||||
\(484\) | 57.2963 | − | 29.4948i | 2.60438 | − | 1.34067i | ||||
\(485\) | 19.4503 | − | 19.4503i | 0.883192 | − | 0.883192i | ||||
\(486\) | −2.58699 | − | 21.8931i | −0.117348 | − | 0.993091i | ||||
\(487\) | − | 16.3968i | − | 0.743012i | −0.928431 | − | 0.371506i | \(-0.878842\pi\) | ||
0.928431 | − | 0.371506i | \(-0.121158\pi\) | |||||||
\(488\) | 5.72965 | − | 35.6022i | 0.259369 | − | 1.61163i | ||||
\(489\) | 18.2827 | − | 8.37974i | 0.826773 | − | 0.378945i | ||||
\(490\) | −7.01107 | + | 23.8510i | −0.316728 | + | 1.07748i | ||||
\(491\) | 4.27052 | − | 0.373622i | 0.192726 | − | 0.0168613i | 0.00961595 | − | 0.999954i | \(-0.496939\pi\) |
0.183110 | + | 0.983092i | \(0.441384\pi\) | |||||||
\(492\) | 1.25624 | + | 10.4386i | 0.0566357 | + | 0.470608i | ||||
\(493\) | −2.64254 | − | 5.66694i | −0.119014 | − | 0.255226i | ||||
\(494\) | 8.23745 | − | 6.58038i | 0.370620 | − | 0.296065i | ||||
\(495\) | 32.4080 | − | 37.6086i | 1.45663 | − | 1.69038i | ||||
\(496\) | −2.29408 | − | 29.3018i | −0.103007 | − | 1.31569i | ||||
\(497\) | −0.843284 | + | 0.707599i | −0.0378265 | + | 0.0317402i | ||||
\(498\) | −8.63456 | + | 11.5602i | −0.386924 | + | 0.518025i | ||||
\(499\) | 0.541032 | − | 0.378835i | 0.0242199 | − | 0.0169590i | −0.561404 | − | 0.827542i | \(-0.689739\pi\) |
0.585624 | + | 0.810583i | \(0.300850\pi\) | |||||||
\(500\) | 11.2954 | − | 14.5821i | 0.505148 | − | 0.652132i | ||||
\(501\) | −2.86817 | − | 5.04397i | −0.128140 | − | 0.225348i | ||||
\(502\) | −2.73686 | − | 43.2702i | −0.122152 | − | 1.93125i | ||||
\(503\) | −17.7716 | − | 10.2605i | −0.792398 | − | 0.457491i | 0.0484079 | − | 0.998828i | \(-0.484585\pi\) |
−0.840806 | + | 0.541336i | \(0.817919\pi\) | |||||||
\(504\) | 1.08393 | + | 0.0928217i | 0.0482821 | + | 0.00413461i | ||||
\(505\) | 27.3396 | − | 15.7845i | 1.21659 | − | 0.702401i | ||||
\(506\) | 6.88877 | + | 10.3609i | 0.306243 | + | 0.460599i | ||||
\(507\) | 6.25603 | + | 5.31979i | 0.277840 | + | 0.236260i | ||||
\(508\) | −5.51854 | − | 2.31544i | −0.244846 | − | 0.102731i | ||||
\(509\) | 6.34561 | + | 2.95901i | 0.281264 | + | 0.131156i | 0.558132 | − | 0.829752i | \(-0.311518\pi\) |
−0.276867 | + | 0.960908i | \(0.589296\pi\) | |||||||
\(510\) | −3.02252 | + | 5.99478i | −0.133839 | + | 0.265453i | ||||
\(511\) | −0.214910 | − | 1.21882i | −0.00950707 | − | 0.0539173i | ||||
\(512\) | 4.86954 | − | 22.0972i | 0.215205 | − | 0.976569i | ||||
\(513\) | 2.20499 | + | 8.92869i | 0.0973528 | + | 0.394212i | ||||
\(514\) | 28.6192 | − | 4.33804i | 1.26234 | − | 0.191343i | ||||
\(515\) | −25.0467 | + | 35.7704i | −1.10369 | + | 1.57623i | ||||
\(516\) | 36.1851 | − | 7.60055i | 1.59296 | − | 0.334595i | ||||
\(517\) | −14.5979 | + | 31.3054i | −0.642016 | + | 1.37681i | ||||
\(518\) | −0.0471623 | − | 0.194661i | −0.00207219 | − | 0.00855291i | ||||
\(519\) | −6.89803 | + | 14.5429i | −0.302790 | + | 0.638363i | ||||
\(520\) | 29.8315 | − | 3.06041i | 1.30820 | − | 0.134208i | ||||
\(521\) | −22.8743 | + | 13.2065i | −1.00214 | + | 0.578587i | −0.908881 | − | 0.417055i | \(-0.863062\pi\) |
−0.0932607 | + | 0.995642i | \(0.529729\pi\) | |||||||
\(522\) | −13.2219 | − | 20.4636i | −0.578705 | − | 0.895667i | ||||
\(523\) | 8.46929 | + | 31.6078i | 0.370336 | + | 1.38211i | 0.860041 | + | 0.510225i | \(0.170438\pi\) |
−0.489705 | + | 0.871888i | \(0.662895\pi\) | |||||||
\(524\) | −16.9718 | + | 3.68131i | −0.741415 | + | 0.160819i | ||||
\(525\) | 0.255976 | + | 0.150036i | 0.0111717 | + | 0.00654811i | ||||
\(526\) | 20.2028 | + | 0.486986i | 0.880883 | + | 0.0212336i | ||||
\(527\) | 1.38932 | − | 7.87923i | 0.0605198 | − | 0.343225i | ||||
\(528\) | −29.8217 | + | 34.4279i | −1.29782 | + | 1.49828i | ||||
\(529\) | 16.2472 | − | 13.6330i | 0.706398 | − | 0.592739i | ||||
\(530\) | 16.6607 | + | 6.52283i | 0.723694 | + | 0.283334i | ||||
\(531\) | 20.9067 | + | 15.0518i | 0.907275 | + | 0.653193i | ||||
\(532\) | −0.453504 | + | 0.0177256i | −0.0196619 | + | 0.000768503i | ||||
\(533\) | 11.5862 | − | 5.40273i | 0.501854 | − | 0.234018i | ||||
\(534\) | 6.39005 | − | 3.43251i | 0.276524 | − | 0.148539i | ||||
\(535\) | 18.5582 | − | 22.1168i | 0.802341 | − | 0.956193i | ||||
\(536\) | −19.9893 | + | 0.299178i | −0.863405 | + | 0.0129225i | ||||
\(537\) | −1.51367 | + | 16.0848i | −0.0653197 | + | 0.694112i | ||||
\(538\) | −1.29744 | + | 2.61588i | −0.0559368 | + | 0.112779i | ||||
\(539\) | −32.4646 | + | 32.4646i | −1.39835 | + | 1.39835i | ||||
\(540\) | −8.46896 | + | 24.7503i | −0.364446 | + | 1.06508i | ||||
\(541\) | 19.5261 | + | 19.5261i | 0.839492 | + | 0.839492i | 0.988792 | − | 0.149300i | \(-0.0477019\pi\) |
−0.149300 | + | 0.988792i | \(0.547702\pi\) | |||||||
\(542\) | −9.65172 | − | 28.6478i | −0.414577 | − | 1.23053i | ||||
\(543\) | −4.48305 | + | 6.31386i | −0.192386 | + | 0.270954i | ||||
\(544\) | 2.78718 | − | 5.49283i | 0.119499 | − | 0.235503i | ||||
\(545\) | 11.0989 | + | 9.31306i | 0.475423 | + | 0.398928i | ||||
\(546\) | −0.303029 | − | 1.28761i | −0.0129684 | − | 0.0551045i | ||||
\(547\) | 3.28040 | + | 7.03485i | 0.140260 | + | 0.300788i | 0.963872 | − | 0.266365i | \(-0.0858226\pi\) |
−0.823612 | + | 0.567153i | \(0.808045\pi\) | |||||||
\(548\) | −13.0875 | + | 14.1522i | −0.559069 | + | 0.604550i | ||||
\(549\) | 10.3833 | − | 36.8113i | 0.443147 | − | 1.57107i | ||||
\(550\) | −11.3818 | + | 4.97712i | −0.485322 | + | 0.212225i | ||||
\(551\) | 6.53327 | + | 7.78605i | 0.278327 | + | 0.331697i | ||||
\(552\) | −5.40170 | − | 3.71506i | −0.229911 | − | 0.158123i | ||||
\(553\) | 0.449430 | + | 0.0792466i | 0.0191117 | + | 0.00336991i | ||||
\(554\) | −21.8407 | − | 22.9197i | −0.927923 | − | 0.973763i | ||||
\(555\) | 4.81605 | + | 0.0316066i | 0.204430 | + | 0.00134163i | ||||
\(556\) | 0.127234 | + | 0.586581i | 0.00539592 | + | 0.0248766i | ||||
\(557\) | 27.0955 | − | 7.26022i | 1.14807 | − | 0.307625i | 0.365881 | − | 0.930662i | \(-0.380768\pi\) |
0.782193 | + | 0.623036i | \(0.214101\pi\) | |||||||
\(558\) | 1.16021 | − | 31.1528i | 0.0491158 | − | 1.31880i | ||||
\(559\) | −22.4790 | − | 38.9348i | −0.950760 | − | 1.64676i | ||||
\(560\) | −1.11201 | − | 0.655636i | −0.0469911 | − | 0.0277057i | ||||
\(561\) | −10.2030 | + | 7.04486i | −0.430769 | + | 0.297434i | ||||
\(562\) | −23.0937 | + | 37.8620i | −0.974148 | + | 1.59711i | ||||
\(563\) | −12.5075 | − | 5.83235i | −0.527129 | − | 0.245804i | 0.140788 | − | 0.990040i | \(-0.455036\pi\) |
−0.667917 | + | 0.744235i | \(0.732814\pi\) | |||||||
\(564\) | 0.996222 | − | 18.1733i | 0.0419485 | − | 0.765234i | ||||
\(565\) | −30.1726 | − | 21.1271i | −1.26937 | − | 0.888824i | ||||
\(566\) | 17.5664 | − | 23.8431i | 0.738369 | − | 1.00220i | ||||
\(567\) | 1.13071 | + | 0.230129i | 0.0474853 | + | 0.00966449i | ||||
\(568\) | 10.5916 | + | 21.8539i | 0.444415 | + | 0.916968i | ||||
\(569\) | 2.72011 | − | 0.479629i | 0.114033 | − | 0.0201071i | −0.116340 | − | 0.993209i | \(-0.537116\pi\) |
0.230373 | + | 0.973102i | \(0.426005\pi\) | |||||||
\(570\) | 2.22364 | − | 10.6842i | 0.0931381 | − | 0.447510i | ||||
\(571\) | −2.33790 | + | 5.01364i | −0.0978380 | + | 0.209814i | −0.949135 | − | 0.314870i | \(-0.898039\pi\) |
0.851297 | + | 0.524685i | \(0.175817\pi\) | |||||||
\(572\) | 51.0692 | + | 21.4273i | 2.13531 | + | 0.895921i | ||||
\(573\) | 45.0679 | + | 8.25200i | 1.88274 | + | 0.344732i | ||||
\(574\) | −0.539493 | − | 0.108593i | −0.0225180 | − | 0.00453259i | ||||
\(575\) | −0.894008 | − | 1.54847i | −0.0372827 | − | 0.0645755i | ||||
\(576\) | 7.82832 | − | 22.6874i | 0.326180 | − | 0.945308i | ||||
\(577\) | −18.0534 | + | 31.2694i | −0.751573 | + | 1.30176i | 0.195487 | + | 0.980706i | \(0.437371\pi\) |
−0.947060 | + | 0.321057i | \(0.895962\pi\) | |||||||
\(578\) | −14.7846 | + | 16.7811i | −0.614957 | + | 0.698003i | ||||
\(579\) | 0.131689 | − | 20.0661i | 0.00547281 | − | 0.833918i | ||||
\(580\) | 3.64253 | + | 28.6793i | 0.151248 | + | 1.19084i | ||||
\(581\) | −0.433183 | − | 0.618649i | −0.0179715 | − | 0.0256659i | ||||
\(582\) | −21.0228 | + | 16.5690i | −0.871424 | + | 0.686806i | ||||
\(583\) | 21.2398 | + | 25.3126i | 0.879661 | + | 1.04834i | ||||
\(584\) | −27.2316 | − | 1.97230i | −1.12685 | − | 0.0816145i | ||||
\(585\) | 31.8044 | + | 0.417468i | 1.31495 | + | 0.0172602i | ||||
\(586\) | 12.9025 | + | 1.44288i | 0.532997 | + | 0.0596048i | ||||
\(587\) | 18.2627 | − | 8.51604i | 0.753783 | − | 0.351495i | −0.00745115 | − | 0.999972i | \(-0.502372\pi\) |
0.761234 | + | 0.648478i | \(0.224594\pi\) | |||||||
\(588\) | 9.50597 | − | 22.2459i | 0.392019 | − | 0.917404i | ||||
\(589\) | 1.13349 | + | 12.9559i | 0.0467047 | + | 0.533837i | ||||
\(590\) | −14.6419 | − | 26.8337i | −0.602796 | − | 1.10473i | ||||
\(591\) | −3.82633 | + | 5.38894i | −0.157394 | + | 0.221672i | ||||
\(592\) | −4.41845 | − | 0.0403611i | −0.181597 | − | 0.00165883i | ||||
\(593\) | −34.1474 | −1.40227 | −0.701133 | − | 0.713031i | \(-0.747322\pi\) | ||||
−0.701133 | + | 0.713031i | \(0.747322\pi\) | |||||||
\(594\) | −35.6236 | + | 32.6328i | −1.46165 | + | 1.33894i | ||||
\(595\) | −0.248479 | − | 0.248479i | −0.0101866 | − | 0.0101866i | ||||
\(596\) | −25.1538 | − | 8.05744i | −1.03034 | − | 0.330046i | ||||
\(597\) | −30.2687 | + | 25.0618i | −1.23881 | + | 1.02571i | ||||
\(598\) | −2.24810 | + | 7.64782i | −0.0919316 | + | 0.312743i | ||||
\(599\) | −1.36072 | + | 1.62164i | −0.0555975 | + | 0.0662585i | −0.793126 | − | 0.609057i | \(-0.791548\pi\) |
0.737529 | + | 0.675315i | \(0.235993\pi\) | |||||||
\(600\) | 4.58938 | − | 4.66717i | 0.187361 | − | 0.190536i | ||||
\(601\) | −7.36531 | + | 20.2360i | −0.300437 | + | 0.825444i | 0.693987 | + | 0.719988i | \(0.255853\pi\) |
−0.994424 | + | 0.105456i | \(0.966370\pi\) | |||||||
\(602\) | −0.215084 | + | 1.92333i | −0.00876618 | + | 0.0783889i | ||||
\(603\) | −21.0974 | − | 2.12515i | −0.859154 | − | 0.0865429i | ||||
\(604\) | −14.6056 | − | 3.30804i | −0.594293 | − | 0.134602i | ||||
\(605\) | −80.7973 | − | 7.06885i | −3.28488 | − | 0.287390i | ||||
\(606\) | −28.2270 | + | 12.1233i | −1.14664 | + | 0.492474i | ||||
\(607\) | 5.05003 | − | 28.6402i | 0.204975 | − | 1.16247i | −0.692505 | − | 0.721413i | \(-0.743493\pi\) |
0.897480 | − | 0.441056i | \(-0.145396\pi\) | |||||||
\(608\) | −2.06531 | + | 9.79703i | −0.0837593 | + | 0.397322i | ||||
\(609\) | 1.23391 | − | 0.321960i | 0.0500004 | − | 0.0130465i | ||||
\(610\) | −30.0021 | + | 34.0537i | −1.21475 | + | 1.37879i | ||||
\(611\) | −21.3762 | + | 5.72774i | −0.864788 | + | 0.231719i | ||||
\(612\) | 3.60719 | − | 5.44704i | 0.145812 | − | 0.220183i | ||||
\(613\) | 5.27219 | + | 1.41268i | 0.212942 | + | 0.0570575i | 0.363713 | − | 0.931511i | \(-0.381509\pi\) |
−0.150771 | + | 0.988569i | \(0.548176\pi\) | |||||||
\(614\) | −8.06158 | − | 12.1249i | −0.325339 | − | 0.489319i | ||||
\(615\) | 5.67093 | − | 11.9559i | 0.228674 | − | 0.482107i | ||||
\(616\) | −1.22279 | − | 2.04658i | −0.0492675 | − | 0.0824589i | ||||
\(617\) | −0.449471 | − | 1.23491i | −0.0180950 | − | 0.0497157i | 0.930316 | − | 0.366758i | \(-0.119532\pi\) |
−0.948411 | + | 0.317043i | \(0.897310\pi\) | |||||||
\(618\) | 28.2995 | − | 31.6992i | 1.13837 | − | 1.27513i | ||||
\(619\) | 10.6558 | + | 7.46125i | 0.428292 | + | 0.299893i | 0.767776 | − | 0.640719i | \(-0.221364\pi\) |
−0.339484 | + | 0.940612i | \(0.610252\pi\) | |||||||
\(620\) | −17.2305 | + | 32.7336i | −0.691993 | + | 1.31461i | ||||
\(621\) | −5.23774 | − | 4.57368i | −0.210183 | − | 0.183536i | ||||
\(622\) | −5.51861 | − | 36.4078i | −0.221276 | − | 1.45982i | ||||
\(623\) | 0.0659281 | + | 0.373897i | 0.00264135 | + | 0.0149799i | ||||
\(624\) | −29.1782 | − | 0.458051i | −1.16806 | − | 0.0183367i | ||||
\(625\) | −28.0925 | + | 10.2248i | −1.12370 | + | 0.408993i | ||||
\(626\) | 14.8261 | − | 24.3073i | 0.592569 | − | 0.971515i | ||||
\(627\) | 13.0560 | − | 15.3538i | 0.521408 | − | 0.613172i | ||||
\(628\) | 23.6304 | + | 26.0257i | 0.942956 | + | 1.03854i | ||||
\(629\) | −1.16183 | − | 0.311312i | −0.0463253 | − | 0.0124128i | ||||
\(630\) | −1.09158 | − | 0.826544i | −0.0434898 | − | 0.0329303i | ||||
\(631\) | −13.0221 | − | 7.51829i | −0.518400 | − | 0.299299i | 0.217880 | − | 0.975976i | \(-0.430086\pi\) |
−0.736280 | + | 0.676677i | \(0.763419\pi\) | |||||||
\(632\) | 4.11780 | − | 9.18716i | 0.163797 | − | 0.365446i | ||||
\(633\) | 23.4490 | + | 6.44836i | 0.932012 | + | 0.256299i | ||||
\(634\) | 17.9669 | − | 17.1211i | 0.713556 | − | 0.679965i | ||||
\(635\) | 4.32025 | + | 6.16995i | 0.171444 | + | 0.244847i | ||||
\(636\) | −15.3533 | − | 8.21091i | −0.608800 | − | 0.325584i | ||||
\(637\) | −29.3031 | − | 2.56369i | −1.16103 | − | 0.101577i | ||||
\(638\) | −19.4644 | + | 49.7162i | −0.770602 | + | 1.96828i | ||||
\(639\) | 8.49145 | + | 24.3186i | 0.335917 | + | 0.962027i | ||||
\(640\) | −20.0195 | + | 20.2544i | −0.791342 | + | 0.800625i | ||||
\(641\) | 3.49612 | + | 1.27248i | 0.138088 | + | 0.0502601i | 0.410140 | − | 0.912023i | \(-0.365480\pi\) |
−0.272051 | + | 0.962283i | \(0.587702\pi\) | |||||||
\(642\) | −20.4661 | + | 19.2479i | −0.807731 | + | 0.759655i | ||||
\(643\) | −2.92635 | − | 33.4483i | −0.115404 | − | 1.31907i | −0.804305 | − | 0.594216i | \(-0.797462\pi\) |
0.688901 | − | 0.724855i | \(-0.258093\pi\) | |||||||
\(644\) | 0.273187 | − | 0.207649i | 0.0107651 | − | 0.00818250i | ||||
\(645\) | −43.6239 | − | 16.2028i | −1.71769 | − | 0.637985i | ||||
\(646\) | −1.21104 | + | 2.44167i | −0.0476477 | + | 0.0960664i | ||||
\(647\) | − | 20.6844i | − | 0.813188i | −0.913609 | − | 0.406594i | \(-0.866716\pi\) | ||
0.913609 | − | 0.406594i | \(-0.133284\pi\) | |||||||
\(648\) | 11.0178 | − | 22.9480i | 0.432819 | − | 0.901481i | ||||
\(649\) | − | 56.4542i | − | 2.21602i | ||||||
\(650\) | −7.13003 | − | 3.53640i | −0.279663 | − | 0.138709i | ||||
\(651\) | 1.52961 | + | 0.568129i | 0.0599502 | + | 0.0222667i | ||||
\(652\) | 23.0101 | + | 3.13632i | 0.901147 | + | 0.122828i | ||||
\(653\) | 2.67434 | + | 30.5679i | 0.104655 | + | 1.19621i | 0.848990 | + | 0.528408i | \(0.177211\pi\) |
−0.744335 | + | 0.667806i | \(0.767234\pi\) | |||||||
\(654\) | −9.65918 | − | 10.2705i | −0.377704 | − | 0.401607i | ||||
\(655\) | 20.5389 | + | 7.47556i | 0.802522 | + | 0.292094i | ||||
\(656\) | −5.23105 | + | 10.9556i | −0.204238 | + | 0.427745i | ||||
\(657\) | −28.4508 | − | 5.40259i | −1.10997 | − | 0.210775i | ||||
\(658\) | 0.887083 | + | 0.347302i | 0.0345821 | + | 0.0135392i | ||||
\(659\) | 19.0049 | + | 1.66271i | 0.740325 | + | 0.0647700i | 0.451078 | − | 0.892485i | \(-0.351040\pi\) |
0.289247 | + | 0.957255i | \(0.406595\pi\) | |||||||
\(660\) | 54.8611 | − | 16.6287i | 2.13546 | − | 0.647270i | ||||
\(661\) | 11.5847 | + | 16.5446i | 0.450591 | + | 0.643511i | 0.978611 | − | 0.205722i | \(-0.0659541\pi\) |
−0.528020 | + | 0.849232i | \(0.677065\pi\) | |||||||
\(662\) | −9.95559 | − | 10.4474i | −0.386935 | − | 0.406050i | ||||
\(663\) | −7.65938 | − | 2.10630i | −0.297466 | − | 0.0818018i | ||||
\(664\) | −15.5693 | + | 5.93209i | −0.604205 | + | 0.230210i | ||||
\(665\) | 0.494681 | + | 0.285604i | 0.0191829 | + | 0.0110753i | ||||
\(666\) | −4.65040 | − | 0.581947i | −0.180199 | − | 0.0225500i | ||||
\(667\) | −7.42289 | − | 1.98896i | −0.287416 | − | 0.0770128i | ||||
\(668\) | 0.322820 | − | 6.69227i | 0.0124903 | − | 0.258932i | ||||
\(669\) | −7.33408 | + | 8.62483i | −0.283552 | + | 0.333455i | ||||
\(670\) | 21.4805 | + | 13.1019i | 0.829865 | + | 0.506171i | ||||
\(671\) | −78.7623 | + | 28.6671i | −3.04058 | + | 1.10668i | ||||
\(672\) | 0.999533 | + | 0.760895i | 0.0385578 | + | 0.0293522i | ||||
\(673\) | 1.41061 | + | 7.99996i | 0.0543750 | + | 0.308376i | 0.999850 | − | 0.0173187i | \(-0.00551297\pi\) |
−0.945475 | + | 0.325695i | \(0.894402\pi\) | |||||||
\(674\) | 23.0063 | − | 3.48725i | 0.886170 | − | 0.134324i | ||||
\(675\) | 5.40521 | − | 4.35709i | 0.208047 | − | 0.167704i | ||||
\(676\) | 2.81010 | + | 9.05653i | 0.108081 | + | 0.348328i | ||||
\(677\) | −32.7003 | − | 22.8970i | −1.25677 | − | 0.880003i | −0.260435 | − | 0.965491i | \(-0.583866\pi\) |
−0.996339 | + | 0.0854882i | \(0.972755\pi\) | |||||||
\(678\) | 26.7386 | + | 23.8709i | 1.02689 | + | 0.916755i | ||||
\(679\) | −0.479184 | − | 1.31655i | −0.0183894 | − | 0.0505245i | ||||
\(680\) | −6.65489 | + | 3.97616i | −0.255203 | + | 0.152479i | ||||
\(681\) | 9.83614 | − | 20.7373i | 0.376922 | − | 0.794654i | ||||
\(682\) | −56.8895 | + | 37.8247i | −2.17841 | + | 1.44838i | ||||
\(683\) | −26.8524 | − | 7.19507i | −1.02748 | − | 0.275312i | −0.294563 | − | 0.955632i | \(-0.595174\pi\) |
−0.732915 | + | 0.680320i | \(0.761841\pi\) | |||||||
\(684\) | −3.37209 | + | 10.0701i | −0.128935 | + | 0.385040i | ||||
\(685\) | 23.4338 | − | 6.27907i | 0.895360 | − | 0.239911i | ||||
\(686\) | 1.90243 | + | 1.67609i | 0.0726350 | + | 0.0639932i | ||||
\(687\) | −6.52168 | + | 1.70169i | −0.248817 | + | 0.0649233i | ||||
\(688\) | 39.9849 | + | 14.9683i | 1.52441 | + | 0.570662i | ||||
\(689\) | −3.67618 | + | 20.8486i | −0.140051 | + | 0.794269i | ||||
\(690\) | 3.25618 | + | 7.58148i | 0.123961 | + | 0.288622i | ||||
\(691\) | −35.2927 | − | 3.08771i | −1.34260 | − | 0.117462i | −0.606903 | − | 0.794776i | \(-0.707588\pi\) |
−0.735694 | + | 0.677314i | \(0.763144\pi\) | |||||||
\(692\) | −15.7207 | + | 9.91455i | −0.597612 | + | 0.376895i | ||||
\(693\) | −1.03849 | − | 2.30558i | −0.0394489 | − | 0.0875816i | ||||
\(694\) | 44.3227 | + | 4.95658i | 1.68247 | + | 0.188149i | ||||
\(695\) | 0.258371 | − | 0.709870i | 0.00980059 | − | 0.0269269i | ||||
\(696\) | −0.236398 | − | 28.1315i | −0.00896064 | − | 1.06632i | ||||
\(697\) | −2.12428 | + | 2.53162i | −0.0804629 | + | 0.0958919i | ||||
\(698\) | 11.9432 | + | 3.51074i | 0.452058 | + | 0.132884i | ||||
\(699\) | −4.57102 | + | 3.78470i | −0.172892 | + | 0.143151i | ||||
\(700\) | 0.156808 | + | 0.304615i | 0.00592680 | + | 0.0115134i | ||||
\(701\) | 9.14264 | + | 9.14264i | 0.345313 | + | 0.345313i | 0.858360 | − | 0.513047i | \(-0.171483\pi\) |
−0.513047 | + | 0.858360i | \(0.671483\pi\) | |||||||
\(702\) | −30.6866 | − | 4.04480i | −1.15819 | − | 0.152661i | ||||
\(703\) | 1.95519 | 0.0737415 | ||||||||
\(704\) | −50.3720 | + | 15.1267i | −1.89847 | + | 0.570107i | ||||
\(705\) | −13.2617 | + | 18.6776i | −0.499466 | + | 0.703440i | ||||
\(706\) | 13.1239 | − | 7.16107i | 0.493924 | − | 0.269510i | ||||
\(707\) | −0.140142 | − | 1.60183i | −0.00527057 | − | 0.0602429i | ||||
\(708\) | 11.0770 | + | 27.6073i | 0.416299 | + | 1.03755i | ||||
\(709\) | −17.6610 | + | 8.23546i | −0.663273 | + | 0.309289i | −0.724944 | − | 0.688807i | \(-0.758135\pi\) |
0.0616717 | + | 0.998096i | \(0.480357\pi\) | |||||||
\(710\) | 3.39689 | − | 30.3757i | 0.127483 | − | 1.13998i | ||||
\(711\) | 5.46016 | − | 9.17697i | 0.204772 | − | 0.344163i | ||||
\(712\) | 8.35387 | + | 0.605045i | 0.313074 | + | 0.0226750i | ||||
\(713\) | −6.32057 | − | 7.53256i | −0.236707 | − | 0.282097i | ||||
\(714\) | 0.211670 | + | 0.268568i | 0.00792155 | + | 0.0100509i | ||||
\(715\) | −39.9800 | − | 57.0974i | −1.49517 | − | 2.13532i | ||||
\(716\) | −11.4241 | + | 14.7482i | −0.426937 | + | 0.551165i | ||||
\(717\) | 0.219937 | − | 33.5129i | 0.00821371 | − | 1.25156i | ||||
\(718\) | 39.8269 | + | 35.0885i | 1.48633 | + | 1.30949i | ||||
\(719\) | −10.4756 | + | 18.1442i | −0.390672 | + | 0.676665i | −0.992538 | − | 0.121933i | \(-0.961091\pi\) |
0.601866 | + | 0.798597i | \(0.294424\pi\) | |||||||
\(720\) | −23.5655 | + | 18.8962i | −0.878236 | + | 0.704219i | ||||
\(721\) | 1.11209 | + | 1.92619i | 0.0414163 | + | 0.0717351i | ||||
\(722\) | −4.42802 | + | 21.9985i | −0.164794 | + | 0.818699i | ||||
\(723\) | 20.8470 | + | 3.81712i | 0.775308 | + | 0.141960i | ||||
\(724\) | −8.27640 | + | 3.38399i | −0.307590 | + | 0.125765i | ||||
\(725\) | 3.24261 | − | 6.95379i | 0.120427 | − | 0.258257i | ||||
\(726\) | 77.2696 | + | 16.0818i | 2.86775 | + | 0.596850i | ||||
\(727\) | −13.3954 | + | 2.36196i | −0.496806 | + | 0.0876003i | −0.416436 | − | 0.909165i | \(-0.636721\pi\) |
−0.0803696 | + | 0.996765i | \(0.525610\pi\) | |||||||
\(728\) | 0.500871 | − | 1.44296i | 0.0185635 | − | 0.0534798i | ||||
\(729\) | 14.4100 | − | 22.8331i | 0.533704 | − | 0.845671i | ||||
\(730\) | 27.6654 | + | 20.3824i | 1.02394 | + | 0.754387i | ||||
\(731\) | 9.52030 | + | 6.66618i | 0.352121 | + | 0.246558i | ||||
\(732\) | 32.8917 | − | 29.4730i | 1.21571 | − | 1.08935i | ||||
\(733\) | −24.1978 | − | 11.2836i | −0.893768 | − | 0.416771i | −0.0792132 | − | 0.996858i | \(-0.525241\pi\) |
−0.814555 | + | 0.580087i | \(0.803019\pi\) | |||||||
\(734\) | 5.03039 | + | 3.06826i | 0.185675 | + | 0.113251i | ||||
\(735\) | −25.0551 | + | 17.2998i | −0.924170 | + | 0.638113i | ||||
\(736\) | −2.96953 | − | 6.96337i | −0.109458 | − | 0.256673i | ||||
\(737\) | 23.2337 | + | 40.2420i | 0.855825 | + | 1.48233i | ||||
\(738\) | −6.84899 | + | 10.9043i | −0.252115 | + | 0.401394i | ||||
\(739\) | 9.66266 | − | 2.58910i | 0.355447 | − | 0.0952416i | −0.0766771 | − | 0.997056i | \(-0.524431\pi\) |
0.432124 | + | 0.901814i | \(0.357764\pi\) | |||||||
\(740\) | 4.67659 | + | 3.00943i | 0.171915 | + | 0.110629i | ||||
\(741\) | 12.9123 | + | 0.0847405i | 0.474346 | + | 0.00311302i | ||||
\(742\) | 0.659742 | − | 0.628684i | 0.0242199 | − | 0.0230797i | ||||
\(743\) | 37.3181 | + | 6.58018i | 1.36907 | + | 0.241404i | 0.809373 | − | 0.587295i | \(-0.199807\pi\) |
0.559695 | + | 0.828699i | \(0.310918\pi\) | |||||||
\(744\) | 20.3985 | − | 29.6595i | 0.747847 | − | 1.08737i | ||||
\(745\) | 21.3680 | + | 25.4653i | 0.782861 | + | 0.932978i | ||||
\(746\) | 13.5547 | + | 30.9971i | 0.496271 | + | 1.13489i | ||||
\(747\) | −17.1282 | + | 4.34935i | −0.626687 | + | 0.159135i | ||||
\(748\) | −14.3060 | + | 0.559163i | −0.523079 | + | 0.0204450i | ||||
\(749\) | −0.621480 | − | 1.33277i | −0.0227084 | − | 0.0486983i | ||||
\(750\) | 21.9899 | − | 5.17516i | 0.802958 | − | 0.188970i | ||||
\(751\) | 19.9262 | + | 16.7201i | 0.727119 | + | 0.610125i | 0.929344 | − | 0.369214i | \(-0.120373\pi\) |
−0.202226 | + | 0.979339i | \(0.564817\pi\) | |||||||
\(752\) | 12.2112 | − | 17.1047i | 0.445295 | − | 0.623743i | ||||
\(753\) | 30.7422 | − | 43.2969i | 1.12031 | − | 1.57783i | ||||
\(754\) | −32.4162 | + | 10.9213i | −1.18053 | + | 0.397731i | ||||
\(755\) | 13.3275 | + | 13.3275i | 0.485037 | + | 0.485037i | ||||
\(756\) | 0.960226 | + | 0.923714i | 0.0349231 | + | 0.0335952i | ||||
\(757\) | −7.17745 | + | 7.17745i | −0.260869 | + | 0.260869i | −0.825407 | − | 0.564538i | \(-0.809054\pi\) |
0.564538 | + | 0.825407i | \(0.309054\pi\) | |||||||
\(758\) | −35.9738 | − | 17.8426i | −1.30663 | − | 0.648072i | ||||
\(759\) | −1.42770 | + | 15.1713i | −0.0518222 | + | 0.550682i | ||||
\(760\) | 8.77617 | − | 9.04286i | 0.318345 | − | 0.328019i | ||||
\(761\) | 8.44073 | − | 10.0593i | 0.305976 | − | 0.364648i | −0.591043 | − | 0.806640i | \(-0.701284\pi\) |
0.897019 | + | 0.441992i | \(0.145728\pi\) | |||||||
\(762\) | −3.46848 | − | 6.45701i | −0.125650 | − | 0.233913i | ||||
\(763\) | 0.668822 | − | 0.311877i | 0.0242130 | − | 0.0112907i | ||||
\(764\) | 38.8420 | + | 35.9199i | 1.40526 | + | 1.29954i | ||||
\(765\) | −7.49708 | + | 3.37687i | −0.271058 | + | 0.122091i | ||||
\(766\) | −4.00168 | + | 10.2211i | −0.144587 | + | 0.369305i | ||||
\(767\) | 27.7073 | − | 23.2492i | 1.00045 | − | 0.839478i | ||||
\(768\) | 21.6650 | − | 17.2809i | 0.781768 | − | 0.623569i | ||||
\(769\) | −0.734380 | + | 4.16487i | −0.0264824 | + | 0.150189i | −0.995182 | − | 0.0980480i | \(-0.968740\pi\) |
0.968699 | + | 0.248237i | \(0.0798512\pi\) | |||||||
\(770\) | −0.0723062 | + | 2.99965i | −0.00260573 | + | 0.108100i | ||||
\(771\) | 30.5850 | + | 17.9269i | 1.10149 | + | 0.645622i | ||||
\(772\) | 12.5388 | − | 19.4850i | 0.451281 | − | 0.701281i | ||||
\(773\) | −6.10028 | − | 22.7666i | −0.219412 | − | 0.818856i | −0.984567 | − | 0.175010i | \(-0.944004\pi\) |
0.765155 | − | 0.643846i | \(-0.222662\pi\) | |||||||
\(774\) | 40.3011 | + | 20.6523i | 1.44859 | + | 0.742332i | ||||
\(775\) | 8.50229 | − | 4.90880i | 0.305411 | − | 0.176329i | ||||
\(776\) | −30.7469 | + | 3.15432i | −1.10375 | + | 0.113233i | ||||
\(777\) | 0.105128 | − | 0.221639i | 0.00377145 | − | 0.00795125i | ||||
\(778\) | −17.1345 | + | 4.15133i | −0.614301 | + | 0.148833i | ||||
\(779\) | 2.27030 | − | 4.86867i | 0.0813418 | − | 0.174438i | ||||
\(780\) | 30.7543 | + | 20.0773i | 1.10118 | + | 0.718884i | ||||
\(781\) | 32.3771 | − | 46.2393i | 1.15854 | − | 1.65457i | ||||
\(782\) | −0.308828 | − | 2.03742i | −0.0110437 | − | 0.0728580i | ||||
\(783\) | 3.18533 | − | 29.6685i | 0.113834 | − | 1.06026i | ||||
\(784\) | 23.0278 | − | 15.8127i | 0.822421 | − | 0.564741i | ||||
\(785\) | −7.68270 | − | 43.5708i | −0.274207 | − | 1.55511i | ||||
\(786\) | −18.9920 | − | 9.57561i | −0.677423 | − | 0.341551i | ||||
\(787\) | 45.7514 | + | 21.3342i | 1.63086 | + | 0.760484i | 0.999883 | − | 0.0153153i | \(-0.00487519\pi\) |
0.630980 | + | 0.775799i | \(0.282653\pi\) | |||||||
\(788\) | −7.06399 | + | 2.88827i | −0.251644 | + | 0.102890i | ||||
\(789\) | 18.8551 | + | 16.0334i | 0.671260 | + | 0.570803i | ||||
\(790\) | −10.5517 | + | 7.01562i | −0.375413 | + | 0.249605i | ||||
\(791\) | −1.62476 | + | 0.938056i | −0.0577698 | + | 0.0333534i | ||||
\(792\) | −54.9192 | + | 9.78799i | −1.95147 | + | 0.347801i | ||||
\(793\) | −46.5058 | − | 26.8501i | −1.65147 | − | 0.953476i | ||||
\(794\) | −35.7385 | + | 2.26048i | −1.26831 | + | 0.0802213i | ||||
\(795\) | 10.8318 | + | 19.0489i | 0.384165 | + | 0.675595i | ||||
\(796\) | −45.0151 | + | 5.71732i | −1.59552 | + | 0.202645i | ||||
\(797\) | 23.7082 | − | 16.6007i | 0.839789 | − | 0.588026i | −0.0725954 | − | 0.997361i | \(-0.523128\pi\) |
0.912384 | + | 0.409335i | \(0.134239\pi\) | |||||||
\(798\) | −0.445338 | − | 0.332633i | −0.0157648 | − | 0.0117751i | ||||
\(799\) | 4.38248 | − | 3.67734i | 0.155041 | − | 0.130095i | ||||
\(800\) | 7.36164 | − | 1.71254i | 0.260273 | − | 0.0605473i | ||||
\(801\) | 8.72786 | + | 1.65736i | 0.308384 | + | 0.0585598i | ||||
\(802\) | 8.79647 | + | 11.0116i | 0.310614 | + | 0.388833i | ||||
\(803\) | 26.8202 | + | 57.5160i | 0.946463 | + | 2.02970i | ||||
\(804\) | −19.2578 | − | 15.1205i | −0.679169 | − | 0.533258i | ||||
\(805\) | −0.430234 | + | 0.0376406i | −0.0151638 | + | 0.00132666i | ||||
\(806\) | −41.9925 | − | 12.3438i | −1.47912 | − | 0.434792i | ||||
\(807\) | −3.25100 | + | 1.49007i | −0.114440 | + | 0.0524529i | ||||
\(808\) | −35.0221 | − | 5.63629i | −1.23207 | − | 0.198284i | ||||
\(809\) | − | 0.371242i | − | 0.0130522i | −0.999979 | − | 0.00652608i | \(-0.997923\pi\) | ||
0.999979 | − | 0.00652608i | \(-0.00207733\pi\) | |||||||
\(810\) | −27.1358 | + | 17.0322i | −0.953456 | + | 0.598452i | ||||
\(811\) | 14.0738 | − | 14.0738i | 0.494199 | − | 0.494199i | −0.415427 | − | 0.909626i | \(-0.636368\pi\) |
0.909626 | + | 0.415427i | \(0.136368\pi\) | |||||||
\(812\) | 1.40231 | + | 0.449197i | 0.0492113 | + | 0.0157637i | ||||
\(813\) | 12.8910 | − | 34.7074i | 0.452108 | − | 1.21724i | ||||
\(814\) | 4.91942 | + | 9.01568i | 0.172426 | + | 0.315999i | ||||
\(815\) | −22.3899 | − | 18.7874i | −0.784284 | − | 0.658092i | ||||
\(816\) | 6.88623 | − | 3.08045i | 0.241066 | − | 0.107837i | ||||
\(817\) | −17.7526 | − | 6.46141i | −0.621085 | − | 0.226056i | ||||
\(818\) | 13.0360 | − | 10.4137i | 0.455794 | − | 0.364106i | ||||
\(819\) | 0.703885 | − | 1.45917i | 0.0245957 | − | 0.0509876i | ||||
\(820\) | 12.9241 | − | 8.15083i | 0.451330 | − | 0.284639i | ||||
\(821\) | −1.21194 | + | 13.8526i | −0.0422971 | + | 0.483458i | 0.945273 | + | 0.326280i | \(0.105795\pi\) |
−0.987570 | + | 0.157178i | \(0.949760\pi\) | |||||||
\(822\) | −23.3643 | + | 3.38481i | −0.814924 | + | 0.118059i | ||||
\(823\) | 16.8135 | + | 2.96468i | 0.586083 | + | 0.103342i | 0.458824 | − | 0.888527i | \(-0.348271\pi\) |
0.127259 | + | 0.991870i | \(0.459382\pi\) | |||||||
\(824\) | 47.2000 | − | 13.4074i | 1.64429 | − | 0.467069i | ||||
\(825\) | −14.6698 | − | 4.03412i | −0.510735 | − | 0.140450i | ||||
\(826\) | −1.55388 | + | 0.0982835i | −0.0540664 | + | 0.00341972i | ||||
\(827\) | −1.59364 | − | 5.94756i | −0.0554164 | − | 0.206817i | 0.932666 | − | 0.360740i | \(-0.117476\pi\) |
−0.988083 | + | 0.153923i | \(0.950809\pi\) | |||||||
\(828\) | −2.27861 | − | 7.69921i | −0.0791871 | − | 0.267566i | ||||
\(829\) | 3.14422 | − | 11.7344i | 0.109203 | − | 0.407552i | −0.889585 | − | 0.456770i | \(-0.849006\pi\) |
0.998788 | + | 0.0492180i | \(0.0156729\pi\) | |||||||
\(830\) | 20.5570 | + | 4.13787i | 0.713545 | + | 0.143628i | ||||
\(831\) | −3.12588 | − | 38.6487i | −0.108436 | − | 1.34071i | ||||
\(832\) | −28.1684 | − | 18.4927i | −0.976565 | − | 0.641118i | ||||
\(833\) | 7.14552 | − | 2.60076i | 0.247578 | − | 0.0901109i | ||||
\(834\) | −0.330954 | + | 0.656405i | −0.0114600 | + | 0.0227295i | ||||
\(835\) | −4.83672 | + | 6.90755i | −0.167382 | + | 0.239046i | ||||
\(836\) | 22.2269 | − | 6.89667i | 0.768734 | − | 0.238526i | ||||
\(837\) | 25.1131 | − | 28.7592i | 0.868035 | − | 0.994065i | ||||
\(838\) | −33.9821 | − | 25.0362i | −1.17389 | − | 0.864861i | ||||
\(839\) | −2.94699 | + | 0.519633i | −0.101741 | + | 0.0179397i | −0.224287 | − | 0.974523i | \(-0.572005\pi\) |
0.122546 | + | 0.992463i | \(0.460894\pi\) | |||||||
\(840\) | −0.553208 | − | 1.48108i | −0.0190875 | − | 0.0511022i | ||||
\(841\) | −1.36003 | − | 3.73665i | −0.0468976 | − | 0.128850i | ||||
\(842\) | 21.8481 | − | 5.29335i | 0.752936 | − | 0.182421i | ||||
\(843\) | −51.1616 | + | 18.2420i | −1.76210 | + | 0.628286i | ||||
\(844\) | 18.8769 | + | 20.7904i | 0.649771 | + | 0.715635i | ||||
\(845\) | 3.08887 | − | 11.5278i | 0.106260 | − | 0.396569i | ||||
\(846\) | 14.9540 | − | 16.5309i | 0.514130 | − | 0.568343i | ||||
\(847\) | −2.06554 | + | 3.57761i | −0.0709727 | + | 0.122928i | ||||
\(848\) | −9.89281 | − | 17.5021i | −0.339720 | − | 0.601026i | ||||
\(849\) | 35.0962 | − | 9.15758i | 1.20450 | − | 0.314287i | ||||
\(850\) | 2.05686 | + | 0.0495803i | 0.0705496 | + | 0.00170059i | ||||
\(851\) | −1.21093 | + | 0.847905i | −0.0415103 | + | 0.0290658i | ||||
\(852\) | −6.76041 | + | 28.9648i | −0.231608 | + | 0.992317i | ||||
\(853\) | −2.84330 | + | 32.4991i | −0.0973529 | + | 1.11275i | 0.777672 | + | 0.628670i | \(0.216401\pi\) |
−0.875025 | + | 0.484078i | \(0.839155\pi\) | |||||||
\(854\) | 0.926173 | + | 2.11799i | 0.0316930 | + | 0.0724763i | ||||
\(855\) | 10.3507 | − | 8.45623i | 0.353985 | − | 0.289197i | ||||
\(856\) | −31.8608 | + | 6.11091i | −1.08898 | + | 0.208867i | ||||
\(857\) | 5.90001 | − | 16.2101i | 0.201540 | − | 0.553728i | −0.797210 | − | 0.603702i | \(-0.793692\pi\) |
0.998751 | + | 0.0499742i | \(0.0159139\pi\) | |||||||
\(858\) | 32.0977 | + | 59.7538i | 1.09580 | + | 2.03996i | ||||
\(859\) | 20.5345 | − | 1.79653i | 0.700627 | − | 0.0612970i | 0.268725 | − | 0.963217i | \(-0.413398\pi\) |
0.431903 | + | 0.901920i | \(0.357842\pi\) | |||||||
\(860\) | −32.5167 | − | 42.7797i | −1.10881 | − | 1.45878i | ||||
\(861\) | −0.429837 | − | 0.519141i | −0.0146488 | − | 0.0176923i | ||||
\(862\) | 5.12735 | + | 15.2188i | 0.174638 | + | 0.518353i | ||||
\(863\) | 14.3095 | 0.487102 | 0.243551 | − | 0.969888i | \(-0.421688\pi\) | ||||
0.243551 | + | 0.969888i | \(0.421688\pi\) | |||||||
\(864\) | 24.9362 | − | 15.5624i | 0.848346 | − | 0.529442i | ||||
\(865\) | 23.3920 | 0.795352 | ||||||||
\(866\) | 4.98969 | + | 14.8102i | 0.169556 | + | 0.503270i | ||||
\(867\) | −27.0058 | + | 4.57932i | −0.917166 | + | 0.155522i | ||||
\(868\) | 1.14015 | + | 1.50001i | 0.0386993 | + | 0.0509137i | ||||
\(869\) | −23.3121 | + | 2.03954i | −0.790808 | + | 0.0691868i | ||||
\(870\) | −18.6353 | + | 30.1062i | −0.631794 | + | 1.02070i | ||||
\(871\) | −10.1823 | + | 27.9755i | −0.345013 | + | 0.947915i | ||||
\(872\) | −3.06664 | − | 15.9887i | −0.103849 | − | 0.541446i | ||||
\(873\) | −32.7803 | − | 0.430277i | −1.10945 | − | 0.0145627i | ||||
\(874\) | 1.34207 | + | 3.06908i | 0.0453961 | + | 0.103813i | ||||
\(875\) | −0.103055 | + | 1.17793i | −0.00348391 | + | 0.0398213i | ||||
\(876\) | −24.4010 | − | 22.8642i | −0.824433 | − | 0.772509i | ||||
\(877\) | 41.1635 | − | 28.8230i | 1.38999 | − | 0.973282i | 0.391400 | − | 0.920221i | \(-0.371991\pi\) |
0.998591 | − | 0.0530615i | \(-0.0168979\pi\) | |||||||
\(878\) | 28.4382 | + | 0.685499i | 0.959742 | + | 0.0231345i | ||||
\(879\) | 11.1695 | + | 11.3171i | 0.376738 | + | 0.381716i | ||||
\(880\) | 63.7795 | + | 17.7156i | 2.15001 | + | 0.597194i | ||||
\(881\) | 25.9731 | − | 44.9868i | 0.875057 | − | 1.51564i | 0.0183557 | − | 0.999832i | \(-0.494157\pi\) |
0.856702 | − | 0.515812i | \(-0.172510\pi\) | |||||||
\(882\) | 26.1928 | − | 13.8492i | 0.881958 | − | 0.466325i | ||||
\(883\) | −6.63942 | + | 24.7786i | −0.223434 | + | 0.833868i | 0.759592 | + | 0.650400i | \(0.225399\pi\) |
−0.983026 | + | 0.183467i | \(0.941268\pi\) | |||||||
\(884\) | −6.16598 | − | 6.79099i | −0.207384 | − | 0.228406i | ||||
\(885\) | 6.74297 | − | 36.8264i | 0.226663 | − | 1.23791i | ||||
\(886\) | −2.57573 | + | 0.624046i | −0.0865333 | + | 0.0209652i | ||||
\(887\) | −2.04996 | − | 5.63221i | −0.0688309 | − | 0.189111i | 0.900508 | − | 0.434840i | \(-0.143195\pi\) |
−0.969339 | + | 0.245729i | \(0.920973\pi\) | |||||||
\(888\) | −4.17469 | − | 3.44362i | −0.140093 | − | 0.115560i | ||||
\(889\) | 0.377815 | − | 0.0666189i | 0.0126715 | − | 0.00223433i | ||||
\(890\) | −8.48693 | − | 6.25273i | −0.284483 | − | 0.209592i | ||||
\(891\) | −59.0584 | + | 3.60797i | −1.97853 | + | 0.120872i | ||||
\(892\) | −12.4857 | + | 3.87412i | −0.418052 | + | 0.129715i | ||||
\(893\) | −5.33393 | + | 7.61764i | −0.178493 | + | 0.254915i | ||||
\(894\) | −17.7334 | − | 27.0551i | −0.593095 | − | 0.904857i | ||||
\(895\) | 22.0632 | − | 8.03033i | 0.737490 | − | 0.268424i | ||||
\(896\) | 0.504050 | + | 1.36014i | 0.0168391 | + | 0.0454390i | ||||
\(897\) | −8.03390 | + | 5.54718i | −0.268244 | + | 0.185215i | ||||
\(898\) | 14.3891 | + | 2.89635i | 0.480172 | + | 0.0966525i | ||||
\(899\) | 10.9209 | − | 40.7575i | 0.364233 | − | 1.35934i | ||||
\(900\) | 7.96537 | − | 0.905609i | 0.265512 | − | 0.0301870i | ||||
\(901\) | −1.41645 | − | 5.28627i | −0.0471888 | − | 0.176111i | ||||
\(902\) | 28.1624 | − | 1.78128i | 0.937705 | − | 0.0593102i | ||||
\(903\) | −1.68699 | + | 1.66500i | −0.0561397 | + | 0.0554076i | ||||
\(904\) | 11.3093 | + | 39.8137i | 0.376141 | + | 1.32418i | ||||
\(905\) | 11.0826 | + | 1.95417i | 0.368399 | + | 0.0649587i | ||||
\(906\) | −11.3532 | − | 14.4050i | −0.377185 | − | 0.478574i | ||||
\(907\) | −3.46306 | + | 39.5829i | −0.114989 | + | 1.31433i | 0.691197 | + | 0.722666i | \(0.257084\pi\) |
−0.806186 | + | 0.591662i | \(0.798472\pi\) | |||||||
\(908\) | 22.4167 | − | 14.1375i | 0.743925 | − | 0.469170i | ||||
\(909\) | −36.2115 | − | 10.2141i | −1.20106 | − | 0.338780i | ||||
\(910\) | −1.50198 | + | 1.19984i | −0.0497902 | + | 0.0397743i | ||||
\(911\) | −5.54434 | − | 2.01797i | −0.183692 | − | 0.0668585i | 0.248536 | − | 0.968623i | \(-0.420050\pi\) |
−0.432229 | + | 0.901764i | \(0.642273\pi\) | |||||||
\(912\) | −9.51625 | + | 7.73381i | −0.315114 | + | 0.256092i | ||||
\(913\) | 29.6661 | + | 24.8928i | 0.981805 | + | 0.823832i | ||||
\(914\) | 2.34973 | + | 4.30627i | 0.0777220 | + | 0.142439i | ||||
\(915\) | −54.8025 | + | 9.29276i | −1.81172 | + | 0.307209i | ||||
\(916\) | −7.41174 | − | 2.37418i | −0.244891 | − | 0.0784452i | ||||
\(917\) | 0.787204 | − | 0.787204i | 0.0259958 | − | 0.0259958i | ||||
\(918\) | 7.63148 | − | 2.40490i | 0.251876 | − | 0.0793734i | ||||
\(919\) | 11.8996i | 0.392531i | 0.980551 | + | 0.196266i | \(0.0628814\pi\) | ||||
−0.980551 | + | 0.196266i | \(0.937119\pi\) | |||||||
\(920\) | −1.51385 | + | 9.40657i | −0.0499102 | + | 0.310125i | ||||
\(921\) | 1.67076 | − | 17.7542i | 0.0550535 | − | 0.585020i | ||||
\(922\) | −25.7263 | − | 7.56232i | −0.847251 | − | 0.249052i | ||||
\(923\) | 36.0275 | − | 3.15200i | 1.18586 | − | 0.103749i | ||||
\(924\) | 0.413312 | − | 2.89045i | 0.0135970 | − | 0.0950888i | ||||
\(925\) | −0.623764 | − | 1.33767i | −0.0205092 | − | 0.0439822i | ||||
\(926\) | −11.0658 | − | 13.8524i | −0.363645 | − | 0.455217i | ||||
\(927\) | 51.3673 | − | 8.36383i | 1.68712 | − | 0.274704i | ||||
\(928\) | 17.1681 | − | 27.5772i | 0.563571 | − | 0.905266i | ||||
\(929\) | −37.2477 | + | 31.2545i | −1.22206 | + | 1.02543i | −0.223342 | + | 0.974740i | \(0.571697\pi\) |
−0.998715 | + | 0.0506868i | \(0.983859\pi\) | |||||||
\(930\) | −41.6282 | + | 17.8790i | −1.36504 | + | 0.586275i | ||||
\(931\) | −10.1252 | + | 7.08973i | −0.331839 | + | 0.232356i | ||||
\(932\) | −6.79795 | + | 0.863400i | −0.222674 | + | 0.0282816i | ||||
\(933\) | 22.8056 | − | 38.9086i | 0.746623 | − | 1.27381i | ||||
\(934\) | −36.2714 | + | 2.29418i | −1.18684 | + | 0.0750679i | ||||
\(935\) | 15.6049 | + | 9.00951i | 0.510335 | + | 0.294642i | ||||
\(936\) | −27.4209 | − | 22.9230i | −0.896280 | − | 0.749262i | ||||
\(937\) | −19.6098 | + | 11.3217i | −0.640625 | + | 0.369865i | −0.784855 | − | 0.619679i | \(-0.787263\pi\) |
0.144230 | + | 0.989544i | \(0.453929\pi\) | |||||||
\(938\) | 1.06720 | − | 0.709559i | 0.0348452 | − | 0.0231679i | ||||
\(939\) | 32.8456 | − | 11.7113i | 1.07187 | − | 0.382183i | ||||
\(940\) | −24.4832 | + | 10.0105i | −0.798553 | + | 0.326507i | ||||
\(941\) | −10.3990 | − | 4.84914i | −0.338998 | − | 0.158077i | 0.245663 | − | 0.969355i | \(-0.420994\pi\) |
−0.584661 | + | 0.811278i | \(0.698772\pi\) | |||||||
\(942\) | 2.43568 | + | 42.9845i | 0.0793587 | + | 1.40051i | ||||
\(943\) | 0.705295 | + | 3.99993i | 0.0229676 | + | 0.130256i | ||||
\(944\) | −6.27329 | + | 33.7708i | −0.204178 | + | 1.09914i | ||||
\(945\) | −0.402049 | − | 1.62802i | −0.0130787 | − | 0.0529595i | ||||
\(946\) | −14.8724 | − | 98.1172i | −0.483543 | − | 3.19007i | ||||
\(947\) | 3.48704 | − | 4.98001i | 0.113314 | − | 0.161829i | −0.758489 | − | 0.651686i | \(-0.774062\pi\) |
0.871803 | + | 0.489857i | \(0.162951\pi\) | |||||||
\(948\) | 10.9999 | − | 5.57149i | 0.357262 | − | 0.180954i | ||||
\(949\) | −17.1832 | + | 36.8496i | −0.557792 | + | 1.19619i | ||||
\(950\) | −3.25038 | + | 0.787499i | −0.105456 | + | 0.0255499i | ||||
\(951\) | 30.2970 | − | 2.45040i | 0.982446 | − | 0.0794597i | ||||
\(952\) | 0.0402967 | + | 0.392794i | 0.00130602 | + | 0.0127305i | ||||
\(953\) | −32.2827 | + | 18.6384i | −1.04574 | + | 0.603757i | −0.921453 | − | 0.388489i | \(-0.872997\pi\) |
−0.124285 | + | 0.992247i | \(0.539664\pi\) | |||||||
\(954\) | −8.28644 | − | 19.6482i | −0.268283 | − | 0.636133i | ||||
\(955\) | −17.2336 | − | 64.3165i | −0.557665 | − | 2.08123i | ||||
\(956\) | 20.9414 | − | 32.5424i | 0.677292 | − | 1.05250i | ||||
\(957\) | −56.8427 | + | 32.3226i | −1.83746 | + | 1.04484i | ||||
\(958\) | −0.497596 | + | 20.6429i | −0.0160766 | + | 0.666943i | ||||
\(959\) | 0.214575 | − | 1.21692i | 0.00692899 | − | 0.0392963i | ||||
\(960\) | −34.6656 | + | 3.85097i | −1.11883 | + | 0.124289i | ||||
\(961\) | 17.6122 | − | 14.7784i | 0.568136 | − | 0.476723i | ||||
\(962\) | −2.39889 | + | 6.12728i | −0.0773434 | + | 0.197552i | ||||
\(963\) | −34.3150 | + | 2.54882i | −1.10578 | + | 0.0821347i | ||||
\(964\) | 17.9671 | + | 16.6154i | 0.578682 | + | 0.535147i | ||||
\(965\) | −26.4301 | + | 12.3246i | −0.850815 | + | 0.396741i | ||||
\(966\) | 0.420069 | + | 0.0128846i | 0.0135155 | + | 0.000414554i | ||||
\(967\) | 33.0641 | − | 39.4043i | 1.06327 | − | 1.26716i | 0.101051 | − | 0.994881i | \(-0.467779\pi\) |
0.962219 | − | 0.272275i | \(-0.0877761\pi\) | |||||||
\(968\) | 65.3995 | + | 63.4707i | 2.10202 | + | 2.04003i | ||||
\(969\) | −3.03449 | + | 1.39084i | −0.0974820 | + | 0.0446801i | ||||
\(970\) | 34.8495 | + | 17.2849i | 1.11895 | + | 0.554985i | ||||
\(971\) | −12.7504 | + | 12.7504i | −0.409180 | + | 0.409180i | −0.881452 | − | 0.472273i | \(-0.843434\pi\) |
0.472273 | + | 0.881452i | \(0.343434\pi\) | |||||||
\(972\) | 28.1729 | − | 13.3523i | 0.903648 | − | 0.428277i | ||||
\(973\) | −0.0272075 | − | 0.0272075i | −0.000872231 | − | 0.000872231i | ||||
\(974\) | 21.9750 | − | 7.40358i | 0.704124 | − | 0.237226i | ||||
\(975\) | −4.06144 | − | 8.86115i | −0.130070 | − | 0.283784i | ||||
\(976\) | 50.3010 | − | 8.39641i | 1.61010 | − | 0.268763i | ||||
\(977\) | −4.69204 | − | 3.93709i | −0.150112 | − | 0.125959i | 0.564639 | − | 0.825338i | \(-0.309015\pi\) |
−0.714751 | + | 0.699379i | \(0.753460\pi\) | |||||||
\(978\) | 19.4856 | + | 20.7188i | 0.623080 | + | 0.662513i | ||||
\(979\) | −8.22764 | − | 17.6442i | −0.262956 | − | 0.563912i | ||||
\(980\) | −35.1307 | + | 1.37312i | −1.12221 | + | 0.0438626i | ||||
\(981\) | −1.27907 | − | 17.2203i | −0.0408377 | − | 0.549801i | ||||
\(982\) | 2.42897 | + | 5.55464i | 0.0775117 | + | 0.177256i | ||||
\(983\) | 7.17379 | + | 8.54939i | 0.228808 | + | 0.272683i | 0.868218 | − | 0.496183i | \(-0.165266\pi\) |
−0.639410 | + | 0.768866i | \(0.720821\pi\) | |||||||
\(984\) | −13.4225 | + | 6.39689i | −0.427894 | + | 0.203925i | ||||
\(985\) | 9.45913 | + | 1.66790i | 0.301393 | + | 0.0531437i | ||||
\(986\) | 6.40164 | − | 6.10029i | 0.203870 | − | 0.194273i | ||||
\(987\) | 0.576730 | + | 1.01424i | 0.0183575 | + | 0.0322836i | ||||
\(988\) | 12.5384 | + | 8.06859i | 0.398900 | + | 0.256696i | ||||
\(989\) | 13.7970 | − | 3.69691i | 0.438720 | − | 0.117555i | ||||
\(990\) | 65.0360 | + | 26.4518i | 2.06698 | + | 0.840695i | ||||
\(991\) | −1.02386 | − | 1.77337i | −0.0325239 | − | 0.0563331i | 0.849305 | − | 0.527902i | \(-0.177021\pi\) |
−0.881829 | + | 0.471569i | \(0.843688\pi\) | |||||||
\(992\) | 38.2343 | − | 16.3050i | 1.21394 | − | 0.517684i | ||||
\(993\) | −1.42486 | − | 17.6171i | −0.0452167 | − | 0.559062i | ||||
\(994\) | −1.32909 | − | 0.810667i | −0.0421560 | − | 0.0257128i | ||||
\(995\) | 51.7596 | + | 24.1359i | 1.64089 | + | 0.765159i | ||||
\(996\) | −19.3917 | − | 6.35229i | −0.614448 | − | 0.201280i | ||||
\(997\) | −13.7451 | − | 9.62440i | −0.435311 | − | 0.304808i | 0.335303 | − | 0.942110i | \(-0.391161\pi\) |
−0.770614 | + | 0.637302i | \(0.780050\pi\) | |||||||
\(998\) | 0.752002 | + | 0.554036i | 0.0238042 | + | 0.0175377i | ||||
\(999\) | −3.97809 | − | 4.13790i | −0.125861 | − | 0.130917i |
(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 | 432.2.bg.a.13.43 | ✓ | 840 | |
16.5 | even | 4 | inner | 432.2.bg.a.229.38 | yes | 840 | |
27.25 | even | 9 | inner | 432.2.bg.a.349.38 | yes | 840 | |
432.133 | even | 36 | inner | 432.2.bg.a.133.43 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bg.a.13.43 | ✓ | 840 | 1.1 | even | 1 | trivial | |
432.2.bg.a.133.43 | yes | 840 | 432.133 | even | 36 | inner | |
432.2.bg.a.229.38 | yes | 840 | 16.5 | even | 4 | inner | |
432.2.bg.a.349.38 | yes | 840 | 27.25 | even | 9 | inner |