Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.6 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.6 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09161 | − | 0.899102i | −0.771886 | − | 0.635761i | ||||
\(3\) | −1.21512 | + | 1.23430i | −0.701550 | + | 0.712621i | ||||
\(4\) | 0.383232 | + | 1.96294i | 0.191616 | + | 0.981470i | ||||
\(5\) | −0.726024 | − | 2.70956i | −0.324688 | − | 1.21175i | −0.914625 | − | 0.404302i | \(-0.867514\pi\) |
0.589938 | − | 0.807449i | \(-0.299152\pi\) | |||||||
\(6\) | 2.43620 | − | 0.254855i | 0.994573 | − | 0.104044i | ||||
\(7\) | −0.00424642 | − | 0.00735502i | −0.00160500 | − | 0.00277994i | 0.865222 | − | 0.501389i | \(-0.167178\pi\) |
−0.866827 | + | 0.498609i | \(0.833844\pi\) | |||||||
\(8\) | 1.34654 | − | 2.48733i | 0.476075 | − | 0.879405i | ||||
\(9\) | −0.0469689 | − | 2.99963i | −0.0156563 | − | 0.999877i | ||||
\(10\) | −1.64363 | + | 3.61055i | −0.519762 | + | 1.14176i | ||||
\(11\) | 0.804193 | − | 3.00129i | 0.242473 | − | 0.904923i | −0.732163 | − | 0.681129i | \(-0.761489\pi\) |
0.974637 | − | 0.223794i | \(-0.0718442\pi\) | |||||||
\(12\) | −2.88852 | − | 1.91219i | −0.833844 | − | 0.552001i | ||||
\(13\) | −1.72108 | − | 6.42317i | −0.477342 | − | 1.78147i | −0.612312 | − | 0.790616i | \(-0.709760\pi\) |
0.134969 | − | 0.990850i | \(-0.456906\pi\) | |||||||
\(14\) | −0.00197747 | + | 0.0118468i | −0.000528501 | + | 0.00316619i | ||||
\(15\) | 4.22660 | + | 2.39631i | 1.09130 | + | 0.618724i | ||||
\(16\) | −3.70627 | + | 1.50452i | −0.926567 | + | 0.376130i | ||||
\(17\) | 3.37812i | 0.819314i | 0.912240 | + | 0.409657i | \(0.134352\pi\) | ||||
−0.912240 | + | 0.409657i | \(0.865648\pi\) | |||||||
\(18\) | −2.64570 | + | 3.31666i | −0.623598 | + | 0.781745i | ||||
\(19\) | 1.35881 | + | 1.35881i | 0.311733 | + | 0.311733i | 0.845581 | − | 0.533848i | \(-0.179254\pi\) |
−0.533848 | + | 0.845581i | \(0.679254\pi\) | |||||||
\(20\) | 5.04046 | − | 2.46353i | 1.12708 | − | 0.550862i | ||||
\(21\) | 0.0142382 | + | 0.00369589i | 0.00310703 | + | 0.000806510i | ||||
\(22\) | −3.57633 | + | 2.55319i | −0.762477 | + | 0.544342i | ||||
\(23\) | −5.38718 | − | 3.11029i | −1.12331 | − | 0.648541i | −0.181062 | − | 0.983472i | \(-0.557954\pi\) |
−0.942243 | + | 0.334931i | \(0.891287\pi\) | |||||||
\(24\) | 1.43389 | + | 4.68444i | 0.292692 | + | 0.956207i | ||||
\(25\) | −2.48446 | + | 1.43441i | −0.496893 | + | 0.286881i | ||||
\(26\) | −3.89633 | + | 8.55903i | −0.764133 | + | 1.67856i | ||||
\(27\) | 3.75950 | + | 3.58694i | 0.723517 | + | 0.690307i | ||||
\(28\) | 0.0128101 | − | 0.0111542i | 0.00242088 | − | 0.00210794i | ||||
\(29\) | 0.878030 | − | 3.27685i | 0.163046 | − | 0.608496i | −0.835235 | − | 0.549893i | \(-0.814669\pi\) |
0.998281 | − | 0.0586036i | \(-0.0186648\pi\) | |||||||
\(30\) | −2.45928 | − | 6.41598i | −0.449001 | − | 1.17139i | ||||
\(31\) | 6.70211 | + | 3.86947i | 1.20374 | + | 0.694977i | 0.961384 | − | 0.275212i | \(-0.0887479\pi\) |
0.242352 | + | 0.970188i | \(0.422081\pi\) | |||||||
\(32\) | 5.39852 | + | 1.68996i | 0.954333 | + | 0.298745i | ||||
\(33\) | 2.72729 | + | 4.63954i | 0.474760 | + | 0.807640i | ||||
\(34\) | 3.03727 | − | 3.68759i | 0.520888 | − | 0.632417i | ||||
\(35\) | −0.0168459 | + | 0.0168459i | −0.00284747 | + | 0.00284747i | ||||
\(36\) | 5.87010 | − | 1.24175i | 0.978350 | − | 0.206959i | ||||
\(37\) | 0.769697 | + | 0.769697i | 0.126537 | + | 0.126537i | 0.767539 | − | 0.641002i | \(-0.221481\pi\) |
−0.641002 | + | 0.767539i | \(0.721481\pi\) | |||||||
\(38\) | −0.261585 | − | 2.70501i | −0.0424346 | − | 0.438810i | ||||
\(39\) | 10.0194 | + | 5.68059i | 1.60439 | + | 0.909623i | ||||
\(40\) | −7.71719 | − | 1.84267i | −1.22020 | − | 0.291352i | ||||
\(41\) | −2.64756 | + | 4.58570i | −0.413479 | + | 0.716166i | −0.995267 | − | 0.0971739i | \(-0.969020\pi\) |
0.581789 | + | 0.813340i | \(0.302353\pi\) | |||||||
\(42\) | −0.0122196 | − | 0.0168361i | −0.00188552 | − | 0.00259786i | ||||
\(43\) | −5.99790 | − | 1.60713i | −0.914672 | − | 0.245086i | −0.229365 | − | 0.973340i | \(-0.573665\pi\) |
−0.685306 | + | 0.728255i | \(0.740332\pi\) | |||||||
\(44\) | 6.19954 | + | 0.428394i | 0.934617 | + | 0.0645828i | ||||
\(45\) | −8.09358 | + | 2.30507i | −1.20652 | + | 0.343619i | ||||
\(46\) | 3.08424 | + | 8.23886i | 0.454747 | + | 1.21475i | ||||
\(47\) | −0.0955284 | − | 0.165460i | −0.0139343 | − | 0.0241348i | 0.858974 | − | 0.512019i | \(-0.171102\pi\) |
−0.872908 | + | 0.487884i | \(0.837769\pi\) | |||||||
\(48\) | 2.64653 | − | 6.40280i | 0.381994 | − | 0.924165i | ||||
\(49\) | 3.49996 | − | 6.06212i | 0.499995 | − | 0.866016i | ||||
\(50\) | 4.00175 | + | 0.667972i | 0.565932 | + | 0.0944655i | ||||
\(51\) | −4.16959 | − | 4.10482i | −0.583860 | − | 0.574789i | ||||
\(52\) | 11.9487 | − | 5.83994i | 1.65699 | − | 0.809854i | ||||
\(53\) | −0.750557 | + | 0.750557i | −0.103097 | + | 0.103097i | −0.756774 | − | 0.653677i | \(-0.773226\pi\) |
0.653677 | + | 0.756774i | \(0.273226\pi\) | |||||||
\(54\) | −0.878895 | − | 7.29572i | −0.119603 | − | 0.992822i | ||||
\(55\) | −8.71603 | −1.17527 | ||||||||
\(56\) | −0.0240124 | 0.000658413i | −0.00320879 | 8.79842e-5i | ||||||
\(57\) | −3.32830 | + | 0.0260560i | −0.440844 | + | 0.00345120i | ||||
\(58\) | −3.90469 | + | 2.78761i | −0.512711 | + | 0.366031i | ||||
\(59\) | −9.08809 | + | 2.43515i | −1.18317 | + | 0.317029i | −0.796182 | − | 0.605057i | \(-0.793150\pi\) |
−0.386986 | + | 0.922086i | \(0.626484\pi\) | |||||||
\(60\) | −3.08404 | + | 9.21490i | −0.398148 | + | 1.18964i | ||||
\(61\) | 9.85796 | + | 2.64143i | 1.26218 | + | 0.338201i | 0.827031 | − | 0.562156i | \(-0.190028\pi\) |
0.435152 | + | 0.900357i | \(0.356695\pi\) | |||||||
\(62\) | −3.83706 | − | 10.2498i | −0.487307 | − | 1.30173i | ||||
\(63\) | −0.0218629 | + | 0.0130832i | −0.00275447 | + | 0.00164832i | ||||
\(64\) | −4.37364 | − | 6.69860i | −0.546705 | − | 0.837325i | ||||
\(65\) | −16.1544 | + | 9.32674i | −2.00371 | + | 1.15684i | ||||
\(66\) | 1.19428 | − | 7.51668i | 0.147006 | − | 0.925240i | ||||
\(67\) | −7.77154 | + | 2.08238i | −0.949445 | + | 0.254403i | −0.700127 | − | 0.714019i | \(-0.746873\pi\) |
−0.249318 | + | 0.968422i | \(0.580206\pi\) | |||||||
\(68\) | −6.63104 | + | 1.29460i | −0.804132 | + | 0.156993i | ||||
\(69\) | 10.3851 | − | 2.87000i | 1.25022 | − | 0.345507i | ||||
\(70\) | 0.0335353 | − | 0.00324299i | 0.00400823 | − | 0.000387611i | ||||
\(71\) | 1.02260i | 0.121360i | 0.998157 | + | 0.0606801i | \(0.0193269\pi\) | ||||
−0.998157 | + | 0.0606801i | \(0.980673\pi\) | |||||||
\(72\) | −7.52433 | − | 3.92231i | −0.886751 | − | 0.462248i | ||||
\(73\) | − | 7.30911i | − | 0.855467i | −0.903905 | − | 0.427734i | \(-0.859312\pi\) | ||
0.903905 | − | 0.427734i | \(-0.140688\pi\) | |||||||
\(74\) | −0.148174 | − | 1.53225i | −0.0172249 | − | 0.178120i | ||||
\(75\) | 1.24844 | − | 4.80954i | 0.144157 | − | 0.555357i | ||||
\(76\) | −2.14653 | + | 3.18801i | −0.246224 | + | 0.365690i | ||||
\(77\) | −0.0254895 | + | 0.00682989i | −0.00290480 | + | 0.000778338i | ||||
\(78\) | −5.82987 | − | 15.2095i | −0.660102 | − | 1.72213i | ||||
\(79\) | 4.36074 | − | 2.51768i | 0.490622 | − | 0.283261i | −0.234211 | − | 0.972186i | \(-0.575251\pi\) |
0.724832 | + | 0.688925i | \(0.241917\pi\) | |||||||
\(80\) | 6.76742 | + | 8.95003i | 0.756621 | + | 1.00064i | ||||
\(81\) | −8.99559 | + | 0.281779i | −0.999510 | + | 0.0313088i | ||||
\(82\) | 7.01311 | − | 2.62538i | 0.774469 | − | 0.289925i | ||||
\(83\) | 12.5030 | + | 3.35017i | 1.37238 | + | 0.367729i | 0.868348 | − | 0.495955i | \(-0.165182\pi\) |
0.504034 | + | 0.863684i | \(0.331849\pi\) | |||||||
\(84\) | −0.00179829 | + | 0.0293651i | −0.000196210 | + | 0.00320399i | ||||
\(85\) | 9.15320 | − | 2.45259i | 0.992804 | − | 0.266021i | ||||
\(86\) | 5.10240 | + | 7.14709i | 0.550206 | + | 0.770691i | ||||
\(87\) | 2.97769 | + | 5.06552i | 0.319242 | + | 0.543080i | ||||
\(88\) | −6.38232 | − | 6.04166i | −0.680358 | − | 0.644043i | ||||
\(89\) | 18.1774 | 1.92680 | 0.963399 | − | 0.268070i | \(-0.0863859\pi\) | ||||
0.963399 | + | 0.268070i | \(0.0863859\pi\) | |||||||
\(90\) | 10.9075 | + | 4.76071i | 1.14975 | + | 0.501823i | ||||
\(91\) | −0.0399341 | + | 0.0399341i | −0.00418623 | + | 0.00418623i | ||||
\(92\) | 4.04078 | − | 11.7667i | 0.421280 | − | 1.22676i | ||||
\(93\) | −12.9199 | + | 3.57052i | −1.33973 | + | 0.370246i | ||||
\(94\) | −0.0444856 | + | 0.266508i | −0.00458833 | + | 0.0274882i | ||||
\(95\) | 2.69525 | − | 4.66831i | 0.276527 | − | 0.478959i | ||||
\(96\) | −8.64576 | + | 4.60987i | −0.882404 | + | 0.470493i | ||||
\(97\) | 1.64497 | + | 2.84917i | 0.167021 | + | 0.289289i | 0.937371 | − | 0.348332i | \(-0.113252\pi\) |
−0.770350 | + | 0.637621i | \(0.779918\pi\) | |||||||
\(98\) | −9.27106 | + | 3.47065i | −0.936519 | + | 0.350589i | ||||
\(99\) | −9.04054 | − | 2.27132i | −0.908608 | − | 0.228276i | ||||
\(100\) | −3.76778 | − | 4.32714i | −0.376778 | − | 0.432714i | ||||
\(101\) | 2.66775 | + | 0.714822i | 0.265451 | + | 0.0711275i | 0.389090 | − | 0.921200i | \(-0.372790\pi\) |
−0.123638 | + | 0.992327i | \(0.539456\pi\) | |||||||
\(102\) | 0.860929 | + | 8.22975i | 0.0852446 | + | 0.814867i | ||||
\(103\) | 5.52502 | − | 9.56961i | 0.544396 | − | 0.942922i | −0.454249 | − | 0.890875i | \(-0.650092\pi\) |
0.998645 | − | 0.0520466i | \(-0.0165744\pi\) | |||||||
\(104\) | −18.2941 | − | 4.36817i | −1.79388 | − | 0.428334i | ||||
\(105\) | −0.000323029 | − | 0.0412625i | −3.15244e−5 | − | 0.00402681i | ||||
\(106\) | 1.49414 | − | 0.144490i | 0.145124 | − | 0.0140341i | ||||
\(107\) | −1.93562 | − | 1.93562i | −0.187124 | − | 0.187124i | 0.607328 | − | 0.794451i | \(-0.292241\pi\) |
−0.794451 | + | 0.607328i | \(0.792241\pi\) | |||||||
\(108\) | −5.60018 | + | 8.75431i | −0.538878 | + | 0.842384i | ||||
\(109\) | 5.98392 | − | 5.98392i | 0.573155 | − | 0.573155i | −0.359853 | − | 0.933009i | \(-0.617173\pi\) |
0.933009 | + | 0.359853i | \(0.117173\pi\) | |||||||
\(110\) | 9.51452 | + | 7.83660i | 0.907174 | + | 0.747190i | ||||
\(111\) | −1.88531 | + | 0.0147594i | −0.178945 | + | 0.00140090i | ||||
\(112\) | 0.0268042 | + | 0.0208708i | 0.00253276 | + | 0.00197211i | ||||
\(113\) | 11.7864 | + | 6.80488i | 1.10877 | + | 0.640149i | 0.938511 | − | 0.345250i | \(-0.112206\pi\) |
0.170260 | + | 0.985399i | \(0.445539\pi\) | |||||||
\(114\) | 3.65663 | + | 2.96403i | 0.342475 | + | 0.277607i | ||||
\(115\) | −4.51629 | + | 16.8550i | −0.421146 | + | 1.57174i | ||||
\(116\) | 6.76876 | + | 0.467727i | 0.628463 | + | 0.0434274i | ||||
\(117\) | −19.1863 | + | 5.46430i | −1.77377 | + | 0.505175i | ||||
\(118\) | 12.1101 | + | 5.51288i | 1.11483 | + | 0.507502i | ||||
\(119\) | 0.0248461 | − | 0.0143449i | 0.00227764 | − | 0.00131500i | ||||
\(120\) | 11.6517 | − | 7.28622i | 1.06365 | − | 0.665138i | ||||
\(121\) | 1.16526 | + | 0.672766i | 0.105933 | + | 0.0611605i | ||||
\(122\) | −8.38615 | − | 11.7467i | −0.759246 | − | 1.06350i | ||||
\(123\) | −2.44301 | − | 8.84004i | −0.220279 | − | 0.797079i | ||||
\(124\) | −5.02707 | + | 14.6388i | −0.451444 | + | 1.31460i | ||||
\(125\) | −4.22728 | − | 4.22728i | −0.378100 | − | 0.378100i | ||||
\(126\) | 0.0356289 | + | 0.00537525i | 0.00317408 | + | 0.000478865i | ||||
\(127\) | − | 7.01184i | − | 0.622200i | −0.950377 | − | 0.311100i | \(-0.899303\pi\) | ||
0.950377 | − | 0.311100i | \(-0.100697\pi\) | |||||||
\(128\) | −1.24840 | + | 11.2446i | −0.110344 | + | 0.993893i | ||||
\(129\) | 9.27185 | − | 5.45032i | 0.816340 | − | 0.479874i | ||||
\(130\) | 26.0200 | + | 4.34327i | 2.28211 | + | 0.380930i | ||||
\(131\) | −2.15546 | − | 8.04427i | −0.188323 | − | 0.702831i | −0.993895 | − | 0.110333i | \(-0.964808\pi\) |
0.805572 | − | 0.592498i | \(-0.201858\pi\) | |||||||
\(132\) | −8.06195 | + | 7.13152i | −0.701703 | + | 0.620719i | ||||
\(133\) | 0.00422400 | − | 0.0157642i | 0.000366268 | − | 0.00136693i | ||||
\(134\) | 10.3558 | + | 4.71426i | 0.894603 | + | 0.407250i | ||||
\(135\) | 6.98953 | − | 12.7908i | 0.601563 | − | 1.10086i | ||||
\(136\) | 8.40250 | + | 4.54878i | 0.720508 | + | 0.390055i | ||||
\(137\) | 2.71852 | + | 4.70861i | 0.232259 | + | 0.402284i | 0.958472 | − | 0.285185i | \(-0.0920550\pi\) |
−0.726214 | + | 0.687469i | \(0.758722\pi\) | |||||||
\(138\) | −13.9169 | − | 6.20433i | −1.18469 | − | 0.528148i | ||||
\(139\) | 3.64349 | + | 13.5977i | 0.309037 | + | 1.15334i | 0.929414 | + | 0.369038i | \(0.120313\pi\) |
−0.620378 | + | 0.784303i | \(0.713021\pi\) | |||||||
\(140\) | −0.0395233 | − | 0.0266115i | −0.00334033 | − | 0.00224909i | ||||
\(141\) | 0.320305 | + | 0.0831435i | 0.0269746 | + | 0.00700195i | ||||
\(142\) | 0.919421 | − | 1.11628i | 0.0771561 | − | 0.0936762i | ||||
\(143\) | −20.6619 | −1.72783 | ||||||||
\(144\) | 4.68709 | + | 11.0468i | 0.390591 | + | 0.920564i | ||||
\(145\) | −9.51629 | −0.790285 | ||||||||
\(146\) | −6.57164 | + | 7.97871i | −0.543873 | + | 0.660323i | ||||
\(147\) | 3.22956 | + | 11.6862i | 0.266370 | + | 0.963860i | ||||
\(148\) | −1.21590 | + | 1.80584i | −0.0999461 | + | 0.148439i | ||||
\(149\) | 2.45769 | + | 9.17223i | 0.201342 | + | 0.751419i | 0.990533 | + | 0.137271i | \(0.0438332\pi\) |
−0.789191 | + | 0.614147i | \(0.789500\pi\) | |||||||
\(150\) | −5.68708 | + | 4.12767i | −0.464348 | + | 0.337023i | ||||
\(151\) | −2.26744 | − | 3.92732i | −0.184522 | − | 0.319601i | 0.758893 | − | 0.651215i | \(-0.225740\pi\) |
−0.943415 | + | 0.331614i | \(0.892407\pi\) | |||||||
\(152\) | 5.20952 | − | 1.55012i | 0.422548 | − | 0.125731i | ||||
\(153\) | 10.1331 | − | 0.158667i | 0.819213 | − | 0.0128274i | ||||
\(154\) | 0.0339654 | + | 0.0154621i | 0.00273701 | + | 0.00124597i | ||||
\(155\) | 5.61865 | − | 20.9691i | 0.451301 | − | 1.68428i | ||||
\(156\) | −7.31091 | + | 21.8445i | −0.585341 | + | 1.74896i | ||||
\(157\) | 5.12011 | + | 19.1085i | 0.408629 | + | 1.52502i | 0.797263 | + | 0.603632i | \(0.206280\pi\) |
−0.388634 | + | 0.921392i | \(0.627053\pi\) | |||||||
\(158\) | −7.02388 | − | 1.17243i | −0.558790 | − | 0.0932733i | ||||
\(159\) | −0.0143924 | − | 1.83843i | −0.00114139 | − | 0.145797i | ||||
\(160\) | 0.659586 | − | 15.8546i | 0.0521449 | − | 1.25341i | ||||
\(161\) | 0.0528305i | 0.00416362i | ||||||||
\(162\) | 10.0730 | + | 7.78036i | 0.791412 | + | 0.611283i | ||||
\(163\) | −6.31776 | − | 6.31776i | −0.494845 | − | 0.494845i | 0.414984 | − | 0.909829i | \(-0.363787\pi\) |
−0.909829 | + | 0.414984i | \(0.863787\pi\) | |||||||
\(164\) | −10.0161 | − | 3.43961i | −0.782125 | − | 0.268588i | ||||
\(165\) | 10.5910 | − | 10.7582i | 0.824510 | − | 0.837521i | ||||
\(166\) | −10.6363 | − | 14.8985i | −0.825535 | − | 1.15635i | ||||
\(167\) | 10.2973 | + | 5.94513i | 0.796827 | + | 0.460048i | 0.842360 | − | 0.538915i | \(-0.181165\pi\) |
−0.0455334 | + | 0.998963i | \(0.514499\pi\) | |||||||
\(168\) | 0.0283652 | − | 0.0304384i | 0.00218843 | − | 0.00234837i | ||||
\(169\) | −27.0366 | + | 15.6096i | −2.07974 | + | 1.20074i | ||||
\(170\) | −12.1969 | − | 5.55238i | −0.935457 | − | 0.425848i | ||||
\(171\) | 4.01212 | − | 4.13976i | 0.306814 | − | 0.316575i | ||||
\(172\) | 0.856120 | − | 12.3894i | 0.0652786 | − | 0.944685i | ||||
\(173\) | −0.125524 | + | 0.468462i | −0.00954341 | + | 0.0356165i | −0.970533 | − | 0.240967i | \(-0.922536\pi\) |
0.960990 | + | 0.276583i | \(0.0892022\pi\) | |||||||
\(174\) | 1.30393 | − | 8.20683i | 0.0988509 | − | 0.622158i | ||||
\(175\) | 0.0211002 | + | 0.0121822i | 0.00159502 | + | 0.000920887i | ||||
\(176\) | 1.53495 | + | 12.3335i | 0.115701 | + | 0.929673i | ||||
\(177\) | 8.03743 | − | 14.1764i | 0.604130 | − | 1.06556i | ||||
\(178\) | −19.8426 | − | 16.3433i | −1.48727 | − | 1.22498i | ||||
\(179\) | 6.91661 | − | 6.91661i | 0.516971 | − | 0.516971i | −0.399682 | − | 0.916654i | \(-0.630880\pi\) |
0.916654 | + | 0.399682i | \(0.130880\pi\) | |||||||
\(180\) | −7.62643 | − | 15.0038i | −0.568440 | − | 1.11832i | ||||
\(181\) | −2.19753 | − | 2.19753i | −0.163341 | − | 0.163341i | 0.620704 | − | 0.784045i | \(-0.286847\pi\) |
−0.784045 | + | 0.620704i | \(0.786847\pi\) | |||||||
\(182\) | 0.0794974 | − | 0.00768770i | 0.00589274 | − | 0.000569850i | ||||
\(183\) | −15.2389 | + | 8.95798i | −1.12649 | + | 0.662193i | ||||
\(184\) | −14.9904 | + | 9.21157i | −1.10511 | + | 0.679086i | ||||
\(185\) | 1.52672 | − | 2.64436i | 0.112247 | − | 0.194417i | ||||
\(186\) | 17.3138 | + | 7.71872i | 1.26951 | + | 0.565964i | ||||
\(187\) | 10.1387 | + | 2.71666i | 0.741416 | + | 0.198662i | ||||
\(188\) | 0.288179 | − | 0.250926i | 0.0210176 | − | 0.0183007i | ||||
\(189\) | 0.0104176 | − | 0.0428829i | 0.000757766 | − | 0.00311927i | ||||
\(190\) | −7.13946 | + | 2.67268i | −0.517951 | + | 0.193896i | ||||
\(191\) | −6.33144 | − | 10.9664i | −0.458127 | − | 0.793499i | 0.540735 | − | 0.841193i | \(-0.318146\pi\) |
−0.998862 | + | 0.0476936i | \(0.984813\pi\) | |||||||
\(192\) | 13.5825 | + | 2.74123i | 0.980236 | + | 0.197831i | ||||
\(193\) | 4.99499 | − | 8.65157i | 0.359547 | − | 0.622754i | −0.628338 | − | 0.777940i | \(-0.716265\pi\) |
0.987885 | + | 0.155187i | \(0.0495979\pi\) | |||||||
\(194\) | 0.766026 | − | 4.58918i | 0.0549975 | − | 0.329484i | ||||
\(195\) | 8.11757 | − | 31.2724i | 0.581311 | − | 2.23946i | ||||
\(196\) | 13.2409 | + | 4.54703i | 0.945776 | + | 0.324788i | ||||
\(197\) | 0.273888 | − | 0.273888i | 0.0195137 | − | 0.0195137i | −0.697283 | − | 0.716796i | \(-0.745608\pi\) |
0.716796 | + | 0.697283i | \(0.245608\pi\) | |||||||
\(198\) | 7.82661 | + | 10.6078i | 0.556213 | + | 0.753861i | ||||
\(199\) | −18.0544 | −1.27984 | −0.639920 | − | 0.768441i | \(-0.721033\pi\) | ||||
−0.639920 | + | 0.768441i | \(0.721033\pi\) | |||||||
\(200\) | 0.222406 | + | 8.11118i | 0.0157265 | + | 0.573547i | ||||
\(201\) | 6.87308 | − | 12.1227i | 0.484790 | − | 0.855070i | ||||
\(202\) | −2.26945 | − | 3.17889i | −0.159678 | − | 0.223666i | ||||
\(203\) | −0.0278298 | + | 0.00745698i | −0.00195327 | + | 0.000523377i | ||||
\(204\) | 6.45959 | − | 9.75776i | 0.452262 | − | 0.683180i | ||||
\(205\) | 14.3474 | + | 3.84438i | 1.00207 | + | 0.268503i | ||||
\(206\) | −14.6352 | + | 5.47874i | −1.01968 | + | 0.381722i | ||||
\(207\) | −9.07670 | + | 16.3057i | −0.630874 | + | 1.13332i | ||||
\(208\) | 16.0426 | + | 21.2166i | 1.11235 | + | 1.47110i | ||||
\(209\) | 5.17094 | − | 2.98544i | 0.357681 | − | 0.206507i | ||||
\(210\) | −0.0367466 | + | 0.0453330i | −0.00253575 | + | 0.00312828i | ||||
\(211\) | −2.33428 | + | 0.625467i | −0.160698 | + | 0.0430589i | −0.338271 | − | 0.941049i | \(-0.609842\pi\) |
0.177573 | + | 0.984108i | \(0.443175\pi\) | |||||||
\(212\) | −1.76094 | − | 1.18566i | −0.120942 | − | 0.0814316i | ||||
\(213\) | −1.26219 | − | 1.24258i | −0.0864838 | − | 0.0851402i | ||||
\(214\) | 0.372626 | + | 3.85327i | 0.0254722 | + | 0.263404i | ||||
\(215\) | 17.4185i | 1.18793i | ||||||||
\(216\) | 13.9842 | − | 4.52117i | 0.951507 | − | 0.307627i | ||||
\(217\) | − | 0.0657256i | − | 0.00446175i | ||||||
\(218\) | −11.9123 | + | 1.15196i | −0.806800 | + | 0.0780207i | ||||
\(219\) | 9.02160 | + | 8.88145i | 0.609623 | + | 0.600153i | ||||
\(220\) | −3.34026 | − | 17.1090i | −0.225200 | − | 1.15349i | ||||
\(221\) | 21.6982 | − | 5.81402i | 1.45958 | − | 0.391093i | ||||
\(222\) | 2.07129 | + | 1.67897i | 0.139016 | + | 0.112685i | ||||
\(223\) | 0.0284597 | − | 0.0164312i | 0.00190581 | − | 0.00110032i | −0.499047 | − | 0.866575i | \(-0.666316\pi\) |
0.500953 | + | 0.865475i | \(0.332983\pi\) | |||||||
\(224\) | −0.0104947 | − | 0.0468825i | −0.000701209 | − | 0.00313247i | ||||
\(225\) | 4.41938 | + | 7.38511i | 0.294626 | + | 0.492340i | ||||
\(226\) | −6.74788 | − | 18.0254i | −0.448863 | − | 1.19903i | ||||
\(227\) | 17.9063 | + | 4.79797i | 1.18848 | + | 0.318453i | 0.798285 | − | 0.602279i | \(-0.205741\pi\) |
0.390196 | + | 0.920732i | \(0.372407\pi\) | |||||||
\(228\) | −1.32665 | − | 6.52326i | −0.0878598 | − | 0.432013i | ||||
\(229\) | −26.3567 | + | 7.06225i | −1.74170 | + | 0.466687i | −0.982823 | − | 0.184549i | \(-0.940918\pi\) |
−0.758875 | + | 0.651236i | \(0.774251\pi\) | |||||||
\(230\) | 20.0844 | − | 14.3385i | 1.32433 | − | 0.945455i | ||||
\(231\) | 0.0225427 | − | 0.0397607i | 0.00148320 | − | 0.00261606i | ||||
\(232\) | −6.96832 | − | 6.59638i | −0.457493 | − | 0.433073i | ||||
\(233\) | −7.42838 | −0.486649 | −0.243325 | − | 0.969945i | \(-0.578238\pi\) | ||||
−0.243325 | + | 0.969945i | \(0.578238\pi\) | |||||||
\(234\) | 25.8570 | + | 11.2855i | 1.69032 | + | 0.737759i | ||||
\(235\) | −0.378968 | + | 0.378968i | −0.0247211 | + | 0.0247211i | ||||
\(236\) | −8.26289 | − | 16.9061i | −0.537868 | − | 1.10050i | ||||
\(237\) | −2.19127 | + | 8.44172i | −0.142338 | + | 0.548349i | ||||
\(238\) | −0.0400199 | − | 0.00668012i | −0.00259410 | − | 0.000433008i | ||||
\(239\) | 2.67225 | − | 4.62848i | 0.172854 | − | 0.299391i | −0.766563 | − | 0.642169i | \(-0.778035\pi\) |
0.939416 | + | 0.342778i | \(0.111368\pi\) | |||||||
\(240\) | −19.2702 | − | 2.52235i | −1.24389 | − | 0.162817i | ||||
\(241\) | −10.9314 | − | 18.9337i | −0.704151 | − | 1.21963i | −0.966997 | − | 0.254788i | \(-0.917994\pi\) |
0.262845 | − | 0.964838i | \(-0.415339\pi\) | |||||||
\(242\) | −0.667131 | − | 1.78209i | −0.0428848 | − | 0.114557i | ||||
\(243\) | 10.5829 | − | 11.4456i | 0.678894 | − | 0.734236i | ||||
\(244\) | −1.40709 | + | 20.3629i | −0.0900799 | + | 1.30360i | ||||
\(245\) | −18.9667 | − | 5.08211i | −1.21174 | − | 0.324684i | ||||
\(246\) | −5.28128 | + | 11.8464i | −0.336722 | + | 0.755299i | ||||
\(247\) | 6.38925 | − | 11.0665i | 0.406538 | − | 0.704145i | ||||
\(248\) | 18.6493 | − | 11.4600i | 1.18423 | − | 0.727709i | ||||
\(249\) | −19.3277 | + | 11.3615i | −1.22484 | + | 0.720008i | ||||
\(250\) | 0.813793 | + | 8.41531i | 0.0514688 | + | 0.532231i | ||||
\(251\) | 18.4081 | + | 18.4081i | 1.16191 | + | 1.16191i | 0.984057 | + | 0.177854i | \(0.0569155\pi\) |
0.177854 | + | 0.984057i | \(0.443085\pi\) | |||||||
\(252\) | −0.0340600 | − | 0.0379017i | −0.00214558 | − | 0.00238758i | ||||
\(253\) | −13.6672 | + | 13.6672i | −0.859251 | + | 0.859251i | ||||
\(254\) | −6.30436 | + | 7.65421i | −0.395571 | + | 0.480268i | ||||
\(255\) | −8.09501 | + | 14.2779i | −0.506929 | + | 0.894120i | ||||
\(256\) | 11.4728 | − | 11.1523i | 0.717052 | − | 0.697020i | ||||
\(257\) | −6.96658 | − | 4.02216i | −0.434563 | − | 0.250895i | 0.266726 | − | 0.963773i | \(-0.414058\pi\) |
−0.701289 | + | 0.712877i | \(0.747392\pi\) | |||||||
\(258\) | −15.0216 | − | 2.38670i | −0.935207 | − | 0.148589i | ||||
\(259\) | 0.00239268 | − | 0.00892960i | 0.000148674 | − | 0.000554858i | ||||
\(260\) | −24.4987 | − | 28.1358i | −1.51935 | − | 1.74491i | ||||
\(261\) | −9.87060 | − | 2.47986i | −0.610975 | − | 0.153499i | ||||
\(262\) | −4.87970 | + | 10.7192i | −0.301469 | + | 0.662234i | ||||
\(263\) | −3.65553 | + | 2.11052i | −0.225409 | + | 0.130140i | −0.608452 | − | 0.793590i | \(-0.708209\pi\) |
0.383043 | + | 0.923730i | \(0.374876\pi\) | |||||||
\(264\) | 15.2125 | − | 0.536330i | 0.936264 | − | 0.0330089i | ||||
\(265\) | 2.57860 | + | 1.48876i | 0.158402 | + | 0.0914535i | ||||
\(266\) | −0.0187846 | + | 0.0134106i | −0.00115176 | + | 0.000822255i | ||||
\(267\) | −22.0877 | + | 22.4363i | −1.35174 | + | 1.37308i | ||||
\(268\) | −7.06588 | − | 14.4570i | −0.431618 | − | 0.883104i | ||||
\(269\) | −13.7834 | − | 13.7834i | −0.840386 | − | 0.840386i | 0.148523 | − | 0.988909i | \(-0.452548\pi\) |
−0.988909 | + | 0.148523i | \(0.952548\pi\) | |||||||
\(270\) | −19.1301 | + | 7.67828i | −1.16422 | + | 0.467285i | ||||
\(271\) | 14.3202i | 0.869889i | 0.900457 | + | 0.434945i | \(0.143232\pi\) | ||||
−0.900457 | + | 0.434945i | \(0.856768\pi\) | |||||||
\(272\) | −5.08245 | − | 12.5202i | −0.308169 | − | 0.759149i | ||||
\(273\) | −0.000765759 | − | 0.0978152i | −4.63459e−5 | − | 0.00592004i | ||||
\(274\) | 1.26596 | − | 7.58420i | 0.0764792 | − | 0.458178i | ||||
\(275\) | 2.30708 | + | 8.61014i | 0.139122 | + | 0.519211i | ||||
\(276\) | 9.61353 | + | 19.2854i | 0.578666 | + | 1.16085i | ||||
\(277\) | 1.71354 | − | 6.39501i | 0.102956 | − | 0.384239i | −0.895149 | − | 0.445767i | \(-0.852931\pi\) |
0.998105 | + | 0.0615286i | \(0.0195975\pi\) | |||||||
\(278\) | 8.24843 | − | 18.1193i | 0.494708 | − | 1.08672i | ||||
\(279\) | 11.2922 | − | 20.2856i | 0.676046 | − | 1.21447i | ||||
\(280\) | 0.0192176 | + | 0.0645849i | 0.00114847 | + | 0.00385969i | ||||
\(281\) | 1.84037 | + | 3.18761i | 0.109787 | + | 0.190157i | 0.915684 | − | 0.401899i | \(-0.131650\pi\) |
−0.805897 | + | 0.592056i | \(0.798316\pi\) | |||||||
\(282\) | −0.274894 | − | 0.378747i | −0.0163697 | − | 0.0225541i | ||||
\(283\) | −1.12390 | − | 4.19445i | −0.0668089 | − | 0.249334i | 0.924442 | − | 0.381321i | \(-0.124531\pi\) |
−0.991251 | + | 0.131987i | \(0.957864\pi\) | |||||||
\(284\) | −2.00730 | + | 0.391892i | −0.119111 | + | 0.0232545i | ||||
\(285\) | 2.48702 | + | 8.99929i | 0.147318 | + | 0.533072i | ||||
\(286\) | 22.5547 | + | 18.5771i | 1.33369 | + | 1.09849i | ||||
\(287\) | 0.0449706 | 0.00265453 | ||||||||
\(288\) | 4.81569 | − | 16.2730i | 0.283767 | − | 0.958893i | ||||
\(289\) | 5.58832 | 0.328725 | ||||||||
\(290\) | 10.3881 | + | 8.55612i | 0.610010 | + | 0.502433i | ||||
\(291\) | −5.51555 | − | 1.43170i | −0.323327 | − | 0.0839280i | ||||
\(292\) | 14.3474 | − | 2.80108i | 0.839615 | − | 0.163921i | ||||
\(293\) | 3.93269 | + | 14.6770i | 0.229750 | + | 0.857439i | 0.980446 | + | 0.196791i | \(0.0630520\pi\) |
−0.750695 | + | 0.660649i | \(0.770281\pi\) | |||||||
\(294\) | 6.98164 | − | 15.6605i | 0.407177 | − | 0.913338i | ||||
\(295\) | 13.1963 | + | 22.8567i | 0.768320 | + | 1.33077i | ||||
\(296\) | 2.95092 | − | 0.878062i | 0.171519 | − | 0.0510363i | ||||
\(297\) | 13.7888 | − | 8.39877i | 0.800108 | − | 0.487346i | ||||
\(298\) | 5.56393 | − | 12.2222i | 0.322310 | − | 0.708015i | ||||
\(299\) | −10.7061 | + | 39.9558i | −0.619152 | + | 2.31071i | ||||
\(300\) | 9.91927 | + | 0.607448i | 0.572689 | + | 0.0350710i | ||||
\(301\) | 0.0136491 | + | 0.0509393i | 0.000786723 | + | 0.00293609i | ||||
\(302\) | −1.05590 | + | 6.32577i | −0.0607602 | + | 0.364007i | ||||
\(303\) | −4.12394 | + | 2.42420i | −0.236914 | + | 0.139267i | ||||
\(304\) | −7.08049 | − | 2.99176i | −0.406094 | − | 0.171589i | ||||
\(305\) | − | 28.6285i | − | 1.63926i | ||||||
\(306\) | −11.2041 | − | 8.93750i | −0.640494 | − | 0.510923i | ||||
\(307\) | 23.4294 | + | 23.4294i | 1.33718 | + | 1.33718i | 0.898776 | + | 0.438408i | \(0.144457\pi\) |
0.438408 | + | 0.898776i | \(0.355543\pi\) | |||||||
\(308\) | −0.0231751 | − | 0.0474169i | −0.00132052 | − | 0.00270183i | ||||
\(309\) | 5.09817 | + | 18.4477i | 0.290025 | + | 1.04945i | ||||
\(310\) | −24.9867 | + | 17.8384i | −1.41915 | + | 1.01315i | ||||
\(311\) | −25.9086 | − | 14.9583i | −1.46914 | − | 0.848210i | −0.469741 | − | 0.882804i | \(-0.655653\pi\) |
−0.999401 | + | 0.0345940i | \(0.988986\pi\) | |||||||
\(312\) | 27.6211 | − | 17.2724i | 1.56374 | − | 0.977859i | ||||
\(313\) | 13.0513 | − | 7.53519i | 0.737705 | − | 0.425914i | −0.0835293 | − | 0.996505i | \(-0.526619\pi\) |
0.821234 | + | 0.570591i | \(0.193286\pi\) | |||||||
\(314\) | 11.5913 | − | 25.4626i | 0.654136 | − | 1.43694i | ||||
\(315\) | 0.0513226 | + | 0.0497401i | 0.00289170 | + | 0.00280254i | ||||
\(316\) | 6.61322 | + | 7.59502i | 0.372023 | + | 0.427253i | ||||
\(317\) | 5.40325 | − | 20.1652i | 0.303477 | − | 1.13259i | −0.630772 | − | 0.775969i | \(-0.717261\pi\) |
0.934248 | − | 0.356623i | \(-0.116072\pi\) | |||||||
\(318\) | −1.63722 | + | 2.01979i | −0.0918108 | + | 0.113264i | ||||
\(319\) | −9.12868 | − | 5.27045i | −0.511108 | − | 0.295088i | ||||
\(320\) | −14.9749 | + | 16.7140i | −0.837121 | + | 0.934340i | ||||
\(321\) | 4.74114 | − | 0.0371167i | 0.264625 | − | 0.00207165i | ||||
\(322\) | 0.0475000 | − | 0.0576703i | 0.00264707 | − | 0.00321384i | ||||
\(323\) | −4.59023 | + | 4.59023i | −0.255407 | + | 0.255407i | ||||
\(324\) | −4.00051 | − | 17.5498i | −0.222250 | − | 0.974990i | ||||
\(325\) | 13.4894 | + | 13.4894i | 0.748257 | + | 0.748257i | ||||
\(326\) | 1.21623 | + | 12.5769i | 0.0673608 | + | 0.696567i | ||||
\(327\) | 0.114745 | + | 14.6571i | 0.00634542 | + | 0.810539i | ||||
\(328\) | 7.84111 | + | 12.7602i | 0.432953 | + | 0.704564i | ||||
\(329\) | −0.000811309 | 0.00140523i | −4.47289e−5 | 7.74727e-5i | ||||||
\(330\) | −21.2340 | + | 2.22132i | −1.16889 | + | 0.122280i | ||||
\(331\) | −18.4453 | − | 4.94242i | −1.01385 | − | 0.271660i | −0.286612 | − | 0.958047i | \(-0.592529\pi\) |
−0.727236 | + | 0.686387i | \(0.759196\pi\) | |||||||
\(332\) | −1.78463 | + | 25.8265i | −0.0979446 | + | 1.41741i | ||||
\(333\) | 2.27266 | − | 2.34496i | 0.124541 | − | 0.128503i | ||||
\(334\) | −5.89534 | − | 15.7481i | −0.322579 | − | 0.861696i | ||||
\(335\) | 11.2846 | + | 19.5456i | 0.616546 | + | 1.06789i | ||||
\(336\) | −0.0583311 | + | 0.00772369i | −0.00318222 | + | 0.000421362i | ||||
\(337\) | −9.91944 | + | 17.1810i | −0.540346 | + | 0.935907i | 0.458538 | + | 0.888675i | \(0.348373\pi\) |
−0.998884 | + | 0.0472324i | \(0.984960\pi\) | |||||||
\(338\) | 43.5481 | + | 7.26906i | 2.36871 | + | 0.395385i | ||||
\(339\) | −22.7211 | + | 6.27915i | −1.23404 | + | 0.341036i | ||||
\(340\) | 8.32209 | + | 17.0273i | 0.451329 | + | 0.923434i | ||||
\(341\) | 17.0032 | − | 17.0032i | 0.920774 | − | 0.920774i | ||||
\(342\) | −8.10174 | + | 0.911709i | −0.438092 | + | 0.0492996i | ||||
\(343\) | −0.118899 | −0.00641996 | ||||||||
\(344\) | −12.0739 | + | 12.7547i | −0.650982 | + | 0.687687i | ||||
\(345\) | −15.3162 | − | 26.0553i | −0.824599 | − | 1.40277i | ||||
\(346\) | 0.558219 | − | 0.398520i | 0.0300100 | − | 0.0214245i | ||||
\(347\) | 20.9225 | − | 5.60618i | 1.12318 | − | 0.300955i | 0.351011 | − | 0.936372i | \(-0.385838\pi\) |
0.772170 | + | 0.635416i | \(0.219171\pi\) | |||||||
\(348\) | −8.80216 | + | 7.78630i | −0.471845 | + | 0.417389i | ||||
\(349\) | 1.59139 | + | 0.426410i | 0.0851849 | + | 0.0228252i | 0.301160 | − | 0.953574i | \(-0.402626\pi\) |
−0.215975 | + | 0.976399i | \(0.569293\pi\) | |||||||
\(350\) | −0.0120802 | − | 0.0322694i | −0.000645712 | − | 0.00172487i | ||||
\(351\) | 16.5691 | − | 30.3213i | 0.884393 | − | 1.61843i | ||||
\(352\) | 9.41351 | − | 14.8435i | 0.501742 | − | 0.791160i | ||||
\(353\) | −3.91868 | + | 2.26245i | −0.208570 | + | 0.120418i | −0.600647 | − | 0.799514i | \(-0.705090\pi\) |
0.392076 | + | 0.919933i | \(0.371757\pi\) | |||||||
\(354\) | −21.5198 | + | 8.24863i | −1.14376 | + | 0.438410i | ||||
\(355\) | 2.77079 | − | 0.742431i | 0.147058 | − | 0.0394042i | ||||
\(356\) | 6.96615 | + | 35.6811i | 0.369205 | + | 1.89110i | ||||
\(357\) | −0.0124852 | + | 0.0480983i | −0.000660784 | + | 0.00254563i | ||||
\(358\) | −13.7690 | + | 1.33151i | −0.727713 | + | 0.0703727i | ||||
\(359\) | 11.0661i | 0.584046i | 0.956411 | + | 0.292023i | \(0.0943284\pi\) | ||||
−0.956411 | + | 0.292023i | \(0.905672\pi\) | |||||||
\(360\) | −5.16487 | + | 23.2353i | −0.272213 | + | 1.22461i | ||||
\(361\) | − | 15.3073i | − | 0.805645i | ||||||
\(362\) | 0.423045 | + | 4.37465i | 0.0222348 | + | 0.229926i | ||||
\(363\) | −2.24633 | + | 0.620789i | −0.117902 | + | 0.0325830i | ||||
\(364\) | −0.0936923 | − | 0.0630842i | −0.00491081 | − | 0.00330651i | ||||
\(365\) | −19.8045 | + | 5.30659i | −1.03661 | + | 0.277760i | ||||
\(366\) | 24.6891 | + | 3.92270i | 1.29052 | + | 0.205043i | ||||
\(367\) | 4.77772 | − | 2.75842i | 0.249395 | − | 0.143988i | −0.370092 | − | 0.928995i | \(-0.620674\pi\) |
0.619487 | + | 0.785007i | \(0.287341\pi\) | |||||||
\(368\) | 24.6458 | + | 3.42244i | 1.28475 | + | 0.178407i | ||||
\(369\) | 13.8798 | + | 7.72631i | 0.722552 | + | 0.402215i | ||||
\(370\) | −4.04413 | + | 1.51393i | −0.210244 | + | 0.0787056i | ||||
\(371\) | 0.00870755 | + | 0.00233318i | 0.000452074 | + | 0.000121133i | ||||
\(372\) | −11.9600 | − | 23.9927i | −0.620100 | − | 1.24396i | ||||
\(373\) | −8.16763 | + | 2.18851i | −0.422904 | + | 0.113317i | −0.463993 | − | 0.885839i | \(-0.653584\pi\) |
0.0410893 | + | 0.999155i | \(0.486917\pi\) | |||||||
\(374\) | −8.62498 | − | 12.0813i | −0.445987 | − | 0.624708i | ||||
\(375\) | 10.3544 | − | 0.0810606i | 0.534697 | − | 0.00418595i | ||||
\(376\) | −0.540187 | + | 0.0148118i | −0.0278580 | + | 0.000763860i | ||||
\(377\) | −22.5589 | −1.16184 | ||||||||
\(378\) | −0.0499280 | + | 0.0374450i | −0.00256802 | + | 0.00192596i | ||||
\(379\) | 20.4820 | − | 20.4820i | 1.05209 | − | 1.05209i | 0.0535254 | − | 0.998566i | \(-0.482954\pi\) |
0.998566 | − | 0.0535254i | \(-0.0170458\pi\) | |||||||
\(380\) | 10.1965 | + | 3.50157i | 0.523071 | + | 0.179627i | ||||
\(381\) | 8.65468 | + | 8.52023i | 0.443393 | + | 0.436504i | ||||
\(382\) | −2.94842 | + | 17.6636i | −0.150854 | + | 0.903750i | ||||
\(383\) | −2.14427 | + | 3.71398i | −0.109567 | + | 0.189776i | −0.915595 | − | 0.402102i | \(-0.868280\pi\) |
0.806028 | + | 0.591878i | \(0.201613\pi\) | |||||||
\(384\) | −12.3622 | − | 15.2045i | −0.630857 | − | 0.775899i | ||||
\(385\) | 0.0370120 | + | 0.0641066i | 0.00188630 | + | 0.00326718i | ||||
\(386\) | −13.2312 | + | 4.95315i | −0.673452 | + | 0.252109i | ||||
\(387\) | −4.53909 | + | 18.0670i | −0.230735 | + | 0.918397i | ||||
\(388\) | −4.96234 | + | 4.32086i | −0.251925 | + | 0.219359i | ||||
\(389\) | −15.6680 | − | 4.19823i | −0.794400 | − | 0.212859i | −0.161276 | − | 0.986909i | \(-0.551561\pi\) |
−0.633124 | + | 0.774051i | \(0.718228\pi\) | |||||||
\(390\) | −36.9783 | + | 26.8388i | −1.87247 | + | 1.35904i | ||||
\(391\) | 10.5069 | − | 18.1985i | 0.531358 | − | 0.920339i | ||||
\(392\) | −10.3656 | − | 16.8685i | −0.523544 | − | 0.851987i | ||||
\(393\) | 12.5481 | + | 7.11428i | 0.632970 | + | 0.358868i | ||||
\(394\) | −0.545232 | + | 0.0527260i | −0.0274684 | + | 0.00265630i | ||||
\(395\) | −9.98779 | − | 9.98779i | −0.502540 | − | 0.502540i | ||||
\(396\) | 0.993838 | − | 18.6165i | 0.0499423 | − | 0.935513i | ||||
\(397\) | −2.22738 | + | 2.22738i | −0.111789 | + | 0.111789i | −0.760789 | − | 0.649000i | \(-0.775188\pi\) |
0.649000 | + | 0.760789i | \(0.275188\pi\) | |||||||
\(398\) | 19.7084 | + | 16.2327i | 0.987891 | + | 0.813673i | ||||
\(399\) | 0.0143250 | + | 0.0243691i | 0.000717147 | + | 0.00121998i | ||||
\(400\) | 7.04999 | − | 9.05422i | 0.352500 | − | 0.452711i | ||||
\(401\) | 7.43343 | + | 4.29169i | 0.371208 | + | 0.214317i | 0.673986 | − | 0.738744i | \(-0.264581\pi\) |
−0.302778 | + | 0.953061i | \(0.597914\pi\) | |||||||
\(402\) | −18.4023 | + | 7.05369i | −0.917823 | + | 0.351806i | ||||
\(403\) | 13.3193 | − | 49.7085i | 0.663484 | − | 2.47616i | ||||
\(404\) | −0.380786 | + | 5.51058i | −0.0189448 | + | 0.274162i | ||||
\(405\) | 7.29451 | + | 24.1695i | 0.362467 | + | 1.20099i | ||||
\(406\) | 0.0370839 | + | 0.0168817i | 0.00184045 | + | 0.000837826i | ||||
\(407\) | 2.92907 | − | 1.69110i | 0.145189 | − | 0.0838246i | ||||
\(408\) | −15.8246 | + | 4.84385i | −0.783433 | + | 0.239806i | ||||
\(409\) | 32.0886 | + | 18.5263i | 1.58668 | + | 0.916068i | 0.993850 | + | 0.110739i | \(0.0353218\pi\) |
0.592828 | + | 0.805329i | \(0.298012\pi\) | |||||||
\(410\) | −12.2053 | − | 17.0963i | −0.602777 | − | 0.844328i | ||||
\(411\) | −9.11514 | − | 2.36607i | −0.449617 | − | 0.116710i | ||||
\(412\) | 20.9019 | + | 7.17790i | 1.02976 | + | 0.353630i | ||||
\(413\) | 0.0565024 | + | 0.0565024i | 0.00278030 | + | 0.00278030i | ||||
\(414\) | 24.5687 | − | 9.63856i | 1.20748 | − | 0.473709i | ||||
\(415\) | − | 36.3099i | − | 1.78238i | ||||||
\(416\) | 1.56359 | − | 37.5842i | 0.0766612 | − | 1.84272i | ||||
\(417\) | −21.2108 | − | 12.0257i | −1.03870 | − | 0.588900i | ||||
\(418\) | −8.32888 | − | 1.39026i | −0.407379 | − | 0.0679997i | ||||
\(419\) | −5.35101 | − | 19.9702i | −0.261414 | − | 0.975609i | −0.964409 | − | 0.264415i | \(-0.914821\pi\) |
0.702995 | − | 0.711195i | \(-0.251845\pi\) | |||||||
\(420\) | 0.0808720 | − | 0.0164472i | 0.00394615 | − | 0.000802540i | ||||
\(421\) | 2.50791 | − | 9.35966i | 0.122228 | − | 0.456162i | −0.877497 | − | 0.479581i | \(-0.840789\pi\) |
0.999726 | + | 0.0234192i | \(0.00745525\pi\) | |||||||
\(422\) | 3.11048 | + | 1.41598i | 0.151416 | + | 0.0689290i | ||||
\(423\) | −0.491833 | + | 0.294322i | −0.0239137 | + | 0.0143104i | ||||
\(424\) | 0.856228 | + | 2.87754i | 0.0415821 | + | 0.139746i | ||||
\(425\) | −4.84559 | − | 8.39281i | −0.235046 | − | 0.407111i | ||||
\(426\) | 0.260614 | + | 2.49125i | 0.0126268 | + | 0.120702i | ||||
\(427\) | −0.0224333 | − | 0.0837222i | −0.00108562 | − | 0.00405160i | ||||
\(428\) | 3.05772 | − | 4.54130i | 0.147800 | − | 0.219512i | ||||
\(429\) | 25.1066 | − | 25.5028i | 1.21216 | − | 1.23129i | ||||
\(430\) | 15.6610 | − | 19.0142i | 0.755240 | − | 0.916947i | ||||
\(431\) | 25.3669 | 1.22188 | 0.610941 | − | 0.791676i | \(-0.290791\pi\) | ||||
0.610941 | + | 0.791676i | \(0.290791\pi\) | |||||||
\(432\) | −19.3304 | − | 7.63790i | −0.930032 | − | 0.367479i | ||||
\(433\) | −10.5243 | −0.505764 | −0.252882 | − | 0.967497i | \(-0.581378\pi\) | ||||
−0.252882 | + | 0.967497i | \(0.581378\pi\) | |||||||
\(434\) | −0.0590940 | + | 0.0717468i | −0.00283660 | + | 0.00344396i | ||||
\(435\) | 11.5634 | − | 11.7459i | 0.554424 | − | 0.563174i | ||||
\(436\) | 14.0393 | + | 9.45285i | 0.672360 | + | 0.452709i | ||||
\(437\) | −3.09387 | − | 11.5465i | −0.148000 | − | 0.552343i | ||||
\(438\) | −1.86276 | − | 17.8064i | −0.0890061 | − | 0.850824i | ||||
\(439\) | 1.65348 | + | 2.86391i | 0.0789163 | + | 0.136687i | 0.902783 | − | 0.430097i | \(-0.141521\pi\) |
−0.823866 | + | 0.566784i | \(0.808187\pi\) | |||||||
\(440\) | −11.7365 | + | 21.6797i | −0.559516 | + | 1.03354i | ||||
\(441\) | −18.3485 | − | 10.2139i | −0.873738 | − | 0.486375i | ||||
\(442\) | −28.9134 | − | 13.1623i | −1.37527 | − | 0.626065i | ||||
\(443\) | −1.45346 | + | 5.42439i | −0.0690560 | + | 0.257721i | −0.991820 | − | 0.127645i | \(-0.959258\pi\) |
0.922764 | + | 0.385366i | \(0.125925\pi\) | |||||||
\(444\) | −0.751481 | − | 3.69509i | −0.0356637 | − | 0.175361i | ||||
\(445\) | −13.1972 | − | 49.2527i | −0.625608 | − | 2.33480i | ||||
\(446\) | −0.0458403 | − | 0.00765168i | −0.00217060 | − | 0.000362317i | ||||
\(447\) | −14.3076 | − | 8.11184i | −0.676728 | − | 0.383677i | ||||
\(448\) | −0.0306960 | + | 0.0606134i | −0.00145025 | + | 0.00286371i | ||||
\(449\) | − | 3.76456i | − | 0.177661i | −0.996047 | − | 0.0888303i | \(-0.971687\pi\) | ||
0.996047 | − | 0.0888303i | \(-0.0283129\pi\) | |||||||
\(450\) | 1.81571 | − | 12.0351i | 0.0855935 | − | 0.567342i | ||||
\(451\) | 11.6339 | + | 11.6339i | 0.547818 | + | 0.547818i | ||||
\(452\) | −8.84065 | + | 25.7438i | −0.415829 | + | 1.21089i | ||||
\(453\) | 7.60269 | + | 1.97348i | 0.357206 | + | 0.0927220i | ||||
\(454\) | −15.2328 | − | 21.3371i | −0.714912 | − | 1.00140i | ||||
\(455\) | 0.137197 | + | 0.0792106i | 0.00643189 | + | 0.00371345i | ||||
\(456\) | −4.41688 | + | 8.31366i | −0.206840 | + | 0.389323i | ||||
\(457\) | −18.4633 | + | 10.6598i | −0.863675 | + | 0.498643i | −0.865241 | − | 0.501356i | \(-0.832835\pi\) |
0.00156649 | + | 0.999999i | \(0.499501\pi\) | |||||||
\(458\) | 35.1209 | + | 15.9881i | 1.64109 | + | 0.747075i | ||||
\(459\) | −12.1171 | + | 12.7000i | −0.565578 | + | 0.592787i | ||||
\(460\) | −34.8162 | − | 2.40583i | −1.62331 | − | 0.112172i | ||||
\(461\) | −10.0471 | + | 37.4962i | −0.467938 | + | 1.74637i | 0.179021 | + | 0.983845i | \(0.442707\pi\) |
−0.646959 | + | 0.762525i | \(0.723960\pi\) | |||||||
\(462\) | −0.0603568 | + | 0.0231351i | −0.00280805 | + | 0.00107634i | ||||
\(463\) | −7.29597 | − | 4.21233i | −0.339073 | − | 0.195764i | 0.320789 | − | 0.947151i | \(-0.396052\pi\) |
−0.659862 | + | 0.751387i | \(0.729385\pi\) | |||||||
\(464\) | 1.67588 | + | 13.4659i | 0.0778008 | + | 0.625139i | ||||
\(465\) | 19.0547 | + | 32.4150i | 0.883641 | + | 1.50321i | ||||
\(466\) | 8.10891 | + | 6.67887i | 0.375638 | + | 0.309393i | ||||
\(467\) | −19.4539 | + | 19.4539i | −0.900219 | + | 0.900219i | −0.995455 | − | 0.0952358i | \(-0.969639\pi\) |
0.0952358 | + | 0.995455i | \(0.469639\pi\) | |||||||
\(468\) | −18.0789 | − | 35.5675i | −0.835697 | − | 1.64411i | ||||
\(469\) | 0.0483172 | + | 0.0483172i | 0.00223108 | + | 0.00223108i | ||||
\(470\) | 0.754416 | − | 0.0729550i | 0.0347986 | − | 0.00336516i | ||||
\(471\) | −29.8071 | − | 16.8994i | −1.37344 | − | 0.778683i | ||||
\(472\) | −6.18049 | + | 25.8841i | −0.284480 | + | 1.19141i | ||||
\(473\) | −9.64695 | + | 16.7090i | −0.443567 | + | 0.768281i | ||||
\(474\) | 9.98198 | − | 7.24491i | 0.458488 | − | 0.332770i | ||||
\(475\) | −5.32501 | − | 1.42683i | −0.244328 | − | 0.0654676i | ||||
\(476\) | 0.0376800 | + | 0.0432740i | 0.00172706 | + | 0.00198346i | ||||
\(477\) | 2.28665 | + | 2.21614i | 0.104698 | + | 0.101470i | ||||
\(478\) | −7.07854 | + | 2.64987i | −0.323765 | + | 0.121202i | ||||
\(479\) | −10.4276 | − | 18.0611i | −0.476450 | − | 0.825235i | 0.523186 | − | 0.852218i | \(-0.324743\pi\) |
−0.999636 | + | 0.0269835i | \(0.991410\pi\) | |||||||
\(480\) | 18.7677 | + | 20.0793i | 0.856625 | + | 0.916491i | ||||
\(481\) | 3.61918 | − | 6.26860i | 0.165020 | − | 0.285824i | ||||
\(482\) | −5.09051 | + | 30.4966i | −0.231866 | + | 1.38908i | ||||
\(483\) | −0.0652084 | − | 0.0641953i | −0.00296708 | − | 0.00292099i | ||||
\(484\) | −0.874033 | + | 2.54517i | −0.0397288 | + | 0.115689i | ||||
\(485\) | 6.52570 | − | 6.52570i | 0.296317 | − | 0.296317i | ||||
\(486\) | −21.8432 | + | 2.97904i | −0.990828 | + | 0.135132i | ||||
\(487\) | 34.0126 | 1.54126 | 0.770629 | − | 0.637284i | \(-0.219942\pi\) | ||||
0.770629 | + | 0.637284i | \(0.219942\pi\) | |||||||
\(488\) | 19.8443 | − | 20.9632i | 0.898309 | − | 0.948961i | ||||
\(489\) | 15.4748 | − | 0.121147i | 0.699795 | − | 0.00547844i | ||||
\(490\) | 16.1349 | + | 22.6007i | 0.728902 | + | 1.02100i | ||||
\(491\) | 1.41342 | − | 0.378725i | 0.0637868 | − | 0.0170916i | −0.226785 | − | 0.973945i | \(-0.572821\pi\) |
0.290571 | + | 0.956853i | \(0.406155\pi\) | |||||||
\(492\) | 16.4162 | − | 8.18327i | 0.740101 | − | 0.368930i | ||||
\(493\) | 11.0696 | + | 2.96609i | 0.498550 | + | 0.133586i | ||||
\(494\) | −16.9245 | + | 6.33574i | −0.761469 | + | 0.285059i | ||||
\(495\) | 0.409383 | + | 26.1449i | 0.0184004 | + | 1.17513i | ||||
\(496\) | −30.6615 | − | 4.25781i | −1.37674 | − | 0.191181i | ||||
\(497\) | 0.00752124 | − | 0.00434239i | 0.000337374 | − | 0.000194783i | ||||
\(498\) | 31.3135 | + | 4.97522i | 1.40319 | + | 0.222945i | ||||
\(499\) | −35.2078 | + | 9.43390i | −1.57612 | + | 0.422319i | −0.937721 | − | 0.347389i | \(-0.887068\pi\) |
−0.638396 | + | 0.769708i | \(0.720402\pi\) | |||||||
\(500\) | 6.67788 | − | 9.91793i | 0.298644 | − | 0.443543i | ||||
\(501\) | −19.8505 | + | 5.48583i | −0.886854 | + | 0.245089i | ||||
\(502\) | −3.54374 | − | 36.6453i | −0.158165 | − | 1.63556i | ||||
\(503\) | 10.8529i | 0.483908i | 0.970288 | + | 0.241954i | \(0.0777882\pi\) | ||||
−0.970288 | + | 0.241954i | \(0.922212\pi\) | |||||||
\(504\) | 0.00310283 | + | 0.0719974i | 0.000138211 | + | 0.00320702i | ||||
\(505\) | − | 7.74741i | − | 0.344755i | ||||||
\(506\) | 27.2075 | − | 2.63107i | 1.20952 | − | 0.116965i | ||||
\(507\) | 13.5859 | − | 52.3387i | 0.603370 | − | 2.32444i | ||||
\(508\) | 13.7638 | − | 2.68716i | 0.610671 | − | 0.119223i | ||||
\(509\) | 3.94598 | − | 1.05732i | 0.174903 | − | 0.0468650i | −0.170305 | − | 0.985391i | \(-0.554475\pi\) |
0.345207 | + | 0.938526i | \(0.387809\pi\) | |||||||
\(510\) | 21.6739 | − | 8.30773i | 0.959738 | − | 0.367873i | ||||
\(511\) | −0.0537587 | + | 0.0310376i | −0.00237814 | + | 0.00137302i | ||||
\(512\) | −22.5509 | + | 1.85875i | −0.996620 | + | 0.0821460i | ||||
\(513\) | 0.234485 | + | 9.98244i | 0.0103528 | + | 0.440736i | ||||
\(514\) | 3.98847 | + | 10.6543i | 0.175924 | + | 0.469941i | ||||
\(515\) | −29.9407 | − | 8.02259i | −1.31934 | − | 0.353517i | ||||
\(516\) | 14.2519 | + | 16.1113i | 0.627406 | + | 0.709262i | ||||
\(517\) | −0.573417 | + | 0.153647i | −0.0252189 | + | 0.00675737i | ||||
\(518\) | −0.0106405 | + | 0.00759639i | −0.000467516 | + | 0.000333766i | ||||
\(519\) | −0.425694 | − | 0.724171i | −0.0186859 | − | 0.0317876i | ||||
\(520\) | 1.44612 | + | 52.7402i | 0.0634167 | + | 2.31281i | ||||
\(521\) | 13.4286 | 0.588318 | 0.294159 | − | 0.955757i | \(-0.404961\pi\) | ||||
0.294159 | + | 0.955757i | \(0.404961\pi\) | |||||||
\(522\) | 8.54521 | + | 11.5817i | 0.374014 | + | 0.506918i | ||||
\(523\) | 23.5806 | − | 23.5806i | 1.03111 | − | 1.03111i | 0.0316083 | − | 0.999500i | \(-0.489937\pi\) |
0.999500 | − | 0.0316083i | \(-0.0100629\pi\) | |||||||
\(524\) | 14.9644 | − | 7.31385i | 0.653722 | − | 0.319507i | ||||
\(525\) | −0.0406757 | + | 0.0112410i | −0.00177523 | + | 0.000490599i | ||||
\(526\) | 5.88799 | + | 0.982823i | 0.256728 | + | 0.0428531i | ||||
\(527\) | −13.0715 | + | 22.6405i | −0.569404 | + | 0.986237i | ||||
\(528\) | −17.0883 | − | 13.0921i | −0.743674 | − | 0.569761i | ||||
\(529\) | 7.84782 | + | 13.5928i | 0.341210 | + | 0.590992i | ||||
\(530\) | −1.47629 | − | 3.94357i | −0.0641258 | − | 0.171298i | ||||
\(531\) | 7.73140 | + | 27.1465i | 0.335514 | + | 1.17806i | ||||
\(532\) | 0.0325629 | + | 0.00225013i | 0.00141178 | + | 9.75554e-5i | ||||
\(533\) | 34.0114 | + | 9.11332i | 1.47320 | + | 0.394742i | ||||
\(534\) | 44.2837 | − | 4.63259i | 1.91634 | − | 0.200472i | ||||
\(535\) | −3.83937 | + | 6.64999i | −0.165991 | + | 0.287504i | ||||
\(536\) | −5.28515 | + | 22.1344i | −0.228284 | + | 0.956061i | ||||
\(537\) | 0.132630 | + | 16.9416i | 0.00572340 | + | 0.731086i | ||||
\(538\) | 2.65343 | + | 27.4387i | 0.114397 | + | 1.18297i | ||||
\(539\) | −15.3795 | − | 15.3795i | −0.662443 | − | 0.662443i | ||||
\(540\) | 27.7862 | + | 8.81818i | 1.19573 | + | 0.379474i | ||||
\(541\) | −31.9545 | + | 31.9545i | −1.37383 | + | 1.37383i | −0.519148 | + | 0.854684i | \(0.673751\pi\) |
−0.854684 | + | 0.519148i | \(0.826249\pi\) | |||||||
\(542\) | 12.8753 | − | 15.6321i | 0.553042 | − | 0.671455i | ||||
\(543\) | 5.38266 | − | 0.0421388i | 0.230992 | − | 0.00180835i | ||||
\(544\) | −5.70888 | + | 18.2368i | −0.244766 | + | 0.781898i | ||||
\(545\) | −20.5582 | − | 11.8693i | −0.880618 | − | 0.508425i | ||||
\(546\) | −0.0871099 | + | 0.107465i | −0.00372796 | + | 0.00459906i | ||||
\(547\) | 2.76131 | − | 10.3053i | 0.118065 | − | 0.440625i | −0.881433 | − | 0.472309i | \(-0.843421\pi\) |
0.999498 | + | 0.0316846i | \(0.0100872\pi\) | |||||||
\(548\) | −8.20090 | + | 7.14078i | −0.350325 | + | 0.305039i | ||||
\(549\) | 7.46031 | − | 29.6943i | 0.318398 | − | 1.26732i | ||||
\(550\) | 5.22296 | − | 11.4732i | 0.222708 | − | 0.489220i | ||||
\(551\) | 5.64571 | − | 3.25955i | 0.240515 | − | 0.138862i | ||||
\(552\) | 6.84533 | − | 29.6957i | 0.291357 | − | 1.26393i | ||||
\(553\) | −0.0370351 | − | 0.0213822i | −0.00157489 | − | 0.000909265i | ||||
\(554\) | −7.62028 | + | 5.44022i | −0.323755 | + | 0.231133i | ||||
\(555\) | 1.40877 | + | 5.09763i | 0.0597989 | + | 0.216382i | ||||
\(556\) | −25.2951 | + | 12.3630i | −1.07275 | + | 0.524309i | ||||
\(557\) | 11.6850 | + | 11.6850i | 0.495109 | + | 0.495109i | 0.909912 | − | 0.414802i | \(-0.136149\pi\) |
−0.414802 | + | 0.909912i | \(0.636149\pi\) | |||||||
\(558\) | −30.5655 | + | 11.9912i | −1.29394 | + | 0.507628i | ||||
\(559\) | 41.2915i | 1.74645i | ||||||||
\(560\) | 0.0370903 | − | 0.0877802i | 0.00156735 | − | 0.00370939i | ||||
\(561\) | −15.6729 | + | 9.21309i | −0.661711 | + | 0.388977i | ||||
\(562\) | 0.857020 | − | 5.13431i | 0.0361512 | − | 0.216578i | ||||
\(563\) | 2.31677 | + | 8.64631i | 0.0976403 | + | 0.364398i | 0.997407 | − | 0.0719737i | \(-0.0229298\pi\) |
−0.899766 | + | 0.436372i | \(0.856263\pi\) | |||||||
\(564\) | −0.0404547 | + | 0.660603i | −0.00170345 | + | 0.0278164i | ||||
\(565\) | 9.88100 | − | 36.8764i | 0.415697 | − | 1.55140i | ||||
\(566\) | −2.54438 | + | 5.58921i | −0.106948 | + | 0.234932i | ||||
\(567\) | 0.0402716 | + | 0.0649662i | 0.00169125 | + | 0.00272832i | ||||
\(568\) | 2.54354 | + | 1.37697i | 0.106725 | + | 0.0577765i | ||||
\(569\) | 6.28570 | + | 10.8872i | 0.263510 | + | 0.456413i | 0.967172 | − | 0.254122i | \(-0.0817864\pi\) |
−0.703662 | + | 0.710535i | \(0.748453\pi\) | |||||||
\(570\) | 5.37642 | − | 12.0598i | 0.225193 | − | 0.505130i | ||||
\(571\) | −3.72510 | − | 13.9023i | −0.155890 | − | 0.581791i | −0.999027 | − | 0.0440924i | \(-0.985960\pi\) |
0.843137 | − | 0.537699i | \(-0.180706\pi\) | |||||||
\(572\) | −7.91828 | − | 40.5580i | −0.331080 | − | 1.69582i | ||||
\(573\) | 21.2292 | + | 5.51059i | 0.886863 | + | 0.230208i | ||||
\(574\) | −0.0490904 | − | 0.0404331i | −0.00204899 | − | 0.00168765i | ||||
\(575\) | 17.8457 | 0.744216 | ||||||||
\(576\) | −19.8879 | + | 13.4339i | −0.828663 | + | 0.559748i | ||||
\(577\) | 17.0561 | 0.710056 | 0.355028 | − | 0.934856i | \(-0.384471\pi\) | ||||
0.355028 | + | 0.934856i | \(0.384471\pi\) | |||||||
\(578\) | −6.10028 | − | 5.02447i | −0.253738 | − | 0.208990i | ||||
\(579\) | 4.60908 | + | 16.6780i | 0.191547 | + | 0.693113i | ||||
\(580\) | −3.64694 | − | 18.6799i | −0.151431 | − | 0.775641i | ||||
\(581\) | −0.0284525 | − | 0.106186i | −0.00118041 | − | 0.00440534i | ||||
\(582\) | 4.73359 | + | 6.52190i | 0.196214 | + | 0.270342i | ||||
\(583\) | 1.64905 | + | 2.85623i | 0.0682965 | + | 0.118293i | ||||
\(584\) | −18.1802 | − | 9.84204i | −0.752302 | − | 0.407266i | ||||
\(585\) | 28.7356 | + | 48.0192i | 1.18807 | + | 1.98535i | ||||
\(586\) | 8.90315 | − | 19.5575i | 0.367786 | − | 0.807912i | ||||
\(587\) | 4.63428 | − | 17.2954i | 0.191277 | − | 0.713856i | −0.801922 | − | 0.597428i | \(-0.796189\pi\) |
0.993199 | − | 0.116427i | \(-0.0371441\pi\) | |||||||
\(588\) | −21.7016 | + | 10.8180i | −0.894959 | + | 0.446125i | ||||
\(589\) | 3.84904 | + | 14.3648i | 0.158597 | + | 0.591891i | ||||
\(590\) | 6.14525 | − | 36.8155i | 0.252996 | − | 1.51567i | ||||
\(591\) | 0.00525195 | + | 0.670864i | 0.000216037 | + | 0.0275957i | ||||
\(592\) | −4.01073 | − | 1.69468i | −0.164840 | − | 0.0696508i | ||||
\(593\) | 25.5455i | 1.04903i | 0.851402 | + | 0.524514i | \(0.175753\pi\) | ||||
−0.851402 | + | 0.524514i | \(0.824247\pi\) | |||||||
\(594\) | −22.6034 | − | 3.22935i | −0.927428 | − | 0.132502i | ||||
\(595\) | −0.0569073 | − | 0.0569073i | −0.00233297 | − | 0.00233297i | ||||
\(596\) | −17.0627 | + | 8.33939i | −0.698914 | + | 0.341595i | ||||
\(597\) | 21.9382 | − | 22.2844i | 0.897872 | − | 0.912041i | ||||
\(598\) | 47.6113 | − | 33.9904i | 1.94697 | − | 1.38997i | ||||
\(599\) | 1.66118 | + | 0.959083i | 0.0678740 | + | 0.0391871i | 0.533553 | − | 0.845767i | \(-0.320857\pi\) |
−0.465679 | + | 0.884954i | \(0.654190\pi\) | |||||||
\(600\) | −10.2818 | − | 9.58153i | −0.419754 | − | 0.391164i | ||||
\(601\) | 7.76786 | − | 4.48478i | 0.316858 | − | 0.182938i | −0.333133 | − | 0.942880i | \(-0.608106\pi\) |
0.649991 | + | 0.759942i | \(0.274773\pi\) | |||||||
\(602\) | 0.0309000 | − | 0.0678779i | 0.00125939 | − | 0.00276650i | ||||
\(603\) | 6.61139 | + | 23.2140i | 0.269237 | + | 0.945345i | ||||
\(604\) | 6.84015 | − | 5.95593i | 0.278322 | − | 0.242343i | ||||
\(605\) | 0.976888 | − | 3.64579i | 0.0397161 | − | 0.148223i | ||||
\(606\) | 6.68135 | + | 1.06156i | 0.271411 | + | 0.0431229i | ||||
\(607\) | 20.1239 | + | 11.6185i | 0.816802 | + | 0.471581i | 0.849312 | − | 0.527890i | \(-0.177017\pi\) |
−0.0325103 | + | 0.999471i | \(0.510350\pi\) | |||||||
\(608\) | 5.03924 | + | 9.63192i | 0.204368 | + | 0.390626i | ||||
\(609\) | 0.0246125 | − | 0.0434113i | 0.000997347 | − | 0.00175912i | ||||
\(610\) | −25.7399 | + | 31.2512i | −1.04218 | + | 1.26532i | ||||
\(611\) | −0.898366 | + | 0.898366i | −0.0363440 | + | 0.0363440i | ||||
\(612\) | 4.19478 | + | 19.8299i | 0.169564 | + | 0.801575i | ||||
\(613\) | 18.6158 | + | 18.6158i | 0.751886 | + | 0.751886i | 0.974831 | − | 0.222945i | \(-0.0715670\pi\) |
−0.222945 | + | 0.974831i | \(0.571567\pi\) | |||||||
\(614\) | −4.51038 | − | 46.6411i | −0.182024 | − | 1.88228i | ||||
\(615\) | −22.1789 | + | 13.0376i | −0.894340 | + | 0.525725i | ||||
\(616\) | −0.0173345 | + | 0.0725976i | −0.000698427 | + | 0.00292504i | ||||
\(617\) | 18.3062 | − | 31.7073i | 0.736981 | − | 1.27649i | −0.216868 | − | 0.976201i | \(-0.569584\pi\) |
0.953849 | − | 0.300288i | \(-0.0970827\pi\) | |||||||
\(618\) | 11.0212 | − | 24.7215i | 0.443336 | − | 0.994445i | ||||
\(619\) | −25.6443 | − | 6.87138i | −1.03073 | − | 0.276184i | −0.296465 | − | 0.955044i | \(-0.595808\pi\) |
−0.734268 | + | 0.678860i | \(0.762474\pi\) | |||||||
\(620\) | 43.3143 | + | 2.99306i | 1.73954 | + | 0.120204i | ||||
\(621\) | −9.09671 | − | 31.0166i | −0.365039 | − | 1.24465i | ||||
\(622\) | 14.8331 | + | 39.6232i | 0.594752 | + | 1.58875i | ||||
\(623\) | −0.0771889 | − | 0.133695i | −0.00309251 | − | 0.00535638i | ||||
\(624\) | −45.6812 | − | 5.97939i | −1.82871 | − | 0.239367i | ||||
\(625\) | −15.5570 | + | 26.9455i | −0.622280 | + | 1.07782i | ||||
\(626\) | −21.0219 | − | 3.50898i | −0.840204 | − | 0.140247i | ||||
\(627\) | −2.59839 | + | 10.0101i | −0.103770 | + | 0.399766i | ||||
\(628\) | −35.5467 | + | 17.3734i | −1.41847 | + | 0.693276i | ||||
\(629\) | −2.60013 | + | 2.60013i | −0.103674 | + | 0.103674i | ||||
\(630\) | −0.0113029 | − | 0.100441i | −0.000450318 | − | 0.00400167i | ||||
\(631\) | −28.2467 | −1.12449 | −0.562243 | − | 0.826972i | \(-0.690061\pi\) | ||||
−0.562243 | + | 0.826972i | \(0.690061\pi\) | |||||||
\(632\) | −0.390369 | − | 14.2368i | −0.0155280 | − | 0.566308i | ||||
\(633\) | 2.06441 | − | 3.64120i | 0.0820530 | − | 0.144725i | ||||
\(634\) | −24.0288 | + | 17.1545i | −0.954307 | + | 0.681293i | ||||
\(635\) | −18.9990 | + | 5.09076i | −0.753952 | + | 0.202021i | ||||
\(636\) | 3.60320 | − | 0.732794i | 0.142876 | − | 0.0290572i | ||||
\(637\) | −44.9617 | − | 12.0475i | −1.78145 | − | 0.477338i | ||||
\(638\) | 5.22631 | + | 13.9609i | 0.206911 | + | 0.552717i | ||||
\(639\) | 3.06742 | − | 0.0480304i | 0.121345 | − | 0.00190005i | ||||
\(640\) | 31.3743 | − | 4.78124i | 1.24018 | − | 0.188995i | ||||
\(641\) | 14.4080 | − | 8.31845i | 0.569081 | − | 0.328559i | −0.187701 | − | 0.982226i | \(-0.560104\pi\) |
0.756782 | + | 0.653667i | \(0.226770\pi\) | |||||||
\(642\) | −5.20886 | − | 4.22225i | −0.205577 | − | 0.166639i | ||||
\(643\) | 5.68404 | − | 1.52303i | 0.224157 | − | 0.0600626i | −0.144993 | − | 0.989433i | \(-0.546316\pi\) |
0.369149 | + | 0.929370i | \(0.379649\pi\) | |||||||
\(644\) | −0.103703 | + | 0.0202463i | −0.00408647 | + | 0.000797816i | ||||
\(645\) | −21.4995 | − | 21.1655i | −0.846544 | − | 0.833392i | ||||
\(646\) | 9.13783 | − | 0.883664i | 0.359523 | − | 0.0347673i | ||||
\(647\) | − | 37.4518i | − | 1.47238i | −0.676773 | − | 0.736192i | \(-0.736622\pi\) | ||
0.676773 | − | 0.736192i | \(-0.263378\pi\) | |||||||
\(648\) | −11.4121 | + | 22.7544i | −0.448308 | + | 0.893879i | ||||
\(649\) | 29.2343i | 1.14755i | ||||||||
\(650\) | −2.59684 | − | 26.8535i | −0.101856 | − | 1.05328i | ||||
\(651\) | 0.0811248 | + | 0.0798645i | 0.00317953 | + | 0.00313014i | ||||
\(652\) | 9.98022 | − | 14.8226i | 0.390856 | − | 0.580496i | ||||
\(653\) | −21.2854 | + | 5.70340i | −0.832962 | + | 0.223191i | −0.650005 | − | 0.759930i | \(-0.725233\pi\) |
−0.182956 | + | 0.983121i | \(0.558567\pi\) | |||||||
\(654\) | 13.0530 | − | 16.1030i | 0.510411 | − | 0.629678i | ||||
\(655\) | −20.2315 | + | 11.6807i | −0.790510 | + | 0.456401i | ||||
\(656\) | 2.91326 | − | 20.9791i | 0.113744 | − | 0.819098i | ||||
\(657\) | −21.9247 | + | 0.343301i | −0.855362 | + | 0.0133935i | ||||
\(658\) | 0.00214908 | 0.000804514i | 8.37797e−5 | 3.13632e-5i | ||||||
\(659\) | −23.8609 | − | 6.39350i | −0.929487 | − | 0.249055i | −0.237851 | − | 0.971302i | \(-0.576443\pi\) |
−0.691636 | + | 0.722246i | \(0.743110\pi\) | |||||||
\(660\) | 25.1764 | + | 16.6667i | 0.979991 | + | 0.648749i | ||||
\(661\) | 3.57782 | − | 0.958674i | 0.139161 | − | 0.0372881i | −0.188566 | − | 0.982060i | \(-0.560384\pi\) |
0.327727 | + | 0.944772i | \(0.393717\pi\) | |||||||
\(662\) | 15.6914 | + | 21.9794i | 0.609864 | + | 0.854255i | ||||
\(663\) | −19.1897 | + | 33.8467i | −0.745267 | + | 1.31450i | ||||
\(664\) | 25.1688 | − | 26.5879i | 0.976739 | − | 1.03181i | ||||
\(665\) | −0.0457807 | −0.00177530 | ||||||||
\(666\) | −4.58921 | + | 0.516436i | −0.177828 | + | 0.0200115i | ||||
\(667\) | −14.9221 | + | 14.9221i | −0.577785 | + | 0.577785i | ||||
\(668\) | −7.72370 | + | 22.4913i | −0.298839 | + | 0.870214i | ||||
\(669\) | −0.0143010 | + | 0.0550936i | −0.000552908 | + | 0.00213004i | ||||
\(670\) | 5.25502 | − | 31.4822i | 0.203019 | − | 1.21626i | ||||
\(671\) | 15.8554 | − | 27.4624i | 0.612091 | − | 1.06017i | ||||
\(672\) | 0.0706192 | + | 0.0440143i | 0.00272420 | + | 0.00169789i | ||||
\(673\) | 17.3782 | + | 30.0999i | 0.669880 | + | 1.16027i | 0.977937 | + | 0.208898i | \(0.0669877\pi\) |
−0.308058 | + | 0.951368i | \(0.599679\pi\) | |||||||
\(674\) | 26.2756 | − | 9.83636i | 1.01210 | − | 0.378883i | ||||
\(675\) | −14.4855 | − | 3.51896i | −0.557546 | − | 0.135445i | ||||
\(676\) | −41.0020 | − | 47.0892i | −1.57700 | − | 1.81112i | ||||
\(677\) | −24.4928 | − | 6.56283i | −0.941335 | − | 0.252230i | −0.244654 | − | 0.969611i | \(-0.578674\pi\) |
−0.696681 | + | 0.717381i | \(0.745341\pi\) | |||||||
\(678\) | 30.4482 | + | 13.5742i | 1.16936 | + | 0.521314i | ||||
\(679\) | 0.0139705 | − | 0.0241976i | 0.000536137 | − | 0.000928617i | ||||
\(680\) | 6.22477 | − | 26.0696i | 0.238709 | − | 0.999723i | ||||
\(681\) | −27.6804 | + | 16.2715i | −1.06071 | + | 0.623526i | ||||
\(682\) | −33.8485 | + | 3.27328i | −1.29613 | + | 0.125340i | ||||
\(683\) | −1.88928 | − | 1.88928i | −0.0722912 | − | 0.0722912i | 0.670037 | − | 0.742328i | \(-0.266278\pi\) |
−0.742328 | + | 0.670037i | \(0.766278\pi\) | |||||||
\(684\) | 9.66367 | + | 6.28906i | 0.369500 | + | 0.240468i | ||||
\(685\) | 10.7845 | − | 10.7845i | 0.412056 | − | 0.412056i | ||||
\(686\) | 0.129792 | + | 0.106903i | 0.00495548 | + | 0.00408156i | ||||
\(687\) | 23.3096 | − | 41.1134i | 0.889317 | − | 1.56857i | ||||
\(688\) | 24.6478 | − | 3.06751i | 0.939688 | − | 0.116948i | ||||
\(689\) | 6.11273 | + | 3.52918i | 0.232876 | + | 0.134451i | ||||
\(690\) | −6.70699 | + | 42.2131i | −0.255331 | + | 1.60703i | ||||
\(691\) | −5.19868 | + | 19.4017i | −0.197767 | + | 0.738077i | 0.793766 | + | 0.608223i | \(0.208117\pi\) |
−0.991533 | + | 0.129854i | \(0.958549\pi\) | |||||||
\(692\) | −0.967668 | − | 0.0668667i | −0.0367852 | − | 0.00254189i | ||||
\(693\) | 0.0216844 | + | 0.0761384i | 0.000823722 | + | 0.00289226i | ||||
\(694\) | −27.8798 | − | 12.6917i | −1.05830 | − | 0.481771i | ||||
\(695\) | 34.1985 | − | 19.7445i | 1.29722 | − | 0.748951i | ||||
\(696\) | 16.6092 | − | 0.585574i | 0.629571 | − | 0.0221961i | ||||
\(697\) | −15.4910 | − | 8.94375i | −0.586765 | − | 0.338769i | ||||
\(698\) | −1.35379 | − | 1.89629i | −0.0512416 | − | 0.0717757i | ||||
\(699\) | 9.02637 | − | 9.16881i | 0.341409 | − | 0.346796i | ||||
\(700\) | −0.0158267 | + | 0.0460870i | −0.000598192 | + | 0.00174192i | ||||
\(701\) | −10.9010 | − | 10.9010i | −0.411725 | − | 0.411725i | 0.470614 | − | 0.882339i | \(-0.344032\pi\) |
−0.882339 | + | 0.470614i | \(0.844032\pi\) | |||||||
\(702\) | −45.3490 | + | 18.2018i | −1.71159 | + | 0.686984i | ||||
\(703\) | 2.09175i | 0.0788918i | ||||||||
\(704\) | −23.6217 | + | 7.73960i | −0.890276 | + | 0.291697i | ||||
\(705\) | −0.00726692 | − | 0.928249i | −0.000273688 | − | 0.0349599i | ||||
\(706\) | 6.31185 | + | 1.05358i | 0.237550 | + | 0.0396518i | ||||
\(707\) | −0.00607088 | − | 0.0226568i | −0.000228319 | − | 0.000852098i | ||||
\(708\) | 30.9076 | + | 10.3441i | 1.16158 | + | 0.388757i | ||||
\(709\) | −4.14803 | + | 15.4807i | −0.155783 | + | 0.581389i | 0.843254 | + | 0.537515i | \(0.180637\pi\) |
−0.999037 | + | 0.0438741i | \(0.986030\pi\) | |||||||
\(710\) | −3.69215 | − | 1.68078i | −0.138564 | − | 0.0630784i | ||||
\(711\) | −7.75692 | − | 12.9624i | −0.290907 | − | 0.486127i | ||||
\(712\) | 24.4766 | − | 45.2132i | 0.917300 | − | 1.69444i | ||||
\(713\) | −24.0703 | − | 41.6911i | −0.901441 | − | 1.56134i | ||||
\(714\) | 0.0568742 | − | 0.0412792i | 0.00212846 | − | 0.00154483i | ||||
\(715\) | 15.0010 | + | 55.9845i | 0.561006 | + | 2.09370i | ||||
\(716\) | 16.2275 | + | 10.9262i | 0.606452 | + | 0.408332i | ||||
\(717\) | 2.46580 | + | 8.92251i | 0.0920871 | + | 0.333217i | ||||
\(718\) | 9.94954 | − | 12.0799i | 0.371314 | − | 0.450817i | ||||
\(719\) | 21.7763 | 0.812119 | 0.406060 | − | 0.913847i | \(-0.366903\pi\) | ||||
0.406060 | + | 0.913847i | \(0.366903\pi\) | |||||||
\(720\) | 26.5289 | − | 20.7202i | 0.988675 | − | 0.772195i | ||||
\(721\) | −0.0938463 | −0.00349502 | ||||||||
\(722\) | −13.7628 | + | 16.7096i | −0.512198 | + | 0.621866i | ||||
\(723\) | 36.6527 | + | 9.51416i | 1.36313 | + | 0.353835i | ||||
\(724\) | 3.47145 | − | 5.15578i | 0.129016 | − | 0.191613i | ||||
\(725\) | 2.51890 | + | 9.40068i | 0.0935497 | + | 0.349132i | ||||
\(726\) | 3.01027 | + | 1.34202i | 0.111722 | + | 0.0498069i | ||||
\(727\) | −2.62325 | − | 4.54360i | −0.0972908 | − | 0.168513i | 0.813272 | − | 0.581884i | \(-0.197684\pi\) |
−0.910562 | + | 0.413372i | \(0.864351\pi\) | |||||||
\(728\) | 0.0455564 | + | 0.153102i | 0.00168843 | + | 0.00567435i | ||||
\(729\) | 1.26775 | + | 26.9702i | 0.0469536 | + | 0.998897i | ||||
\(730\) | 26.3899 | + | 12.0135i | 0.976736 | + | 0.444639i | ||||
\(731\) | 5.42908 | − | 20.2616i | 0.200802 | − | 0.749403i | ||||
\(732\) | −23.4240 | − | 26.4801i | −0.865776 | − | 0.978732i | ||||
\(733\) | −3.41408 | − | 12.7415i | −0.126102 | − | 0.470618i | 0.873775 | − | 0.486331i | \(-0.161665\pi\) |
−0.999877 | + | 0.0157124i | \(0.994998\pi\) | |||||||
\(734\) | −7.69552 | − | 1.28454i | −0.284047 | − | 0.0474131i | ||||
\(735\) | 29.3196 | − | 17.2351i | 1.08147 | − | 0.635728i | ||||
\(736\) | −23.8266 | − | 25.8951i | −0.878258 | − | 0.954506i | ||||
\(737\) | 24.9993i | 0.920860i | ||||||||
\(738\) | −8.20458 | − | 20.9135i | −0.302015 | − | 0.769835i | ||||
\(739\) | −23.2424 | − | 23.2424i | −0.854984 | − | 0.854984i | 0.135758 | − | 0.990742i | \(-0.456653\pi\) |
−0.990742 | + | 0.135758i | \(0.956653\pi\) | |||||||
\(740\) | 5.77580 | + | 1.98346i | 0.212323 | + | 0.0729134i | ||||
\(741\) | 5.89563 | + | 21.3334i | 0.216582 | + | 0.783701i | ||||
\(742\) | −0.00740750 | − | 0.0103759i | −0.000271938 | − | 0.000380911i | ||||
\(743\) | 24.5336 | + | 14.1645i | 0.900049 | + | 0.519643i | 0.877216 | − | 0.480096i | \(-0.159398\pi\) |
0.0228329 | + | 0.999739i | \(0.492731\pi\) | |||||||
\(744\) | −8.51618 | + | 36.9440i | −0.312218 | + | 1.35443i | ||||
\(745\) | 23.0683 | − | 13.3185i | 0.845159 | − | 0.487953i | ||||
\(746\) | 10.8836 | + | 4.95453i | 0.398476 | + | 0.181398i | ||||
\(747\) | 9.46202 | − | 37.6617i | 0.346197 | − | 1.37797i | ||||
\(748\) | −1.44717 | + | 20.9428i | −0.0529136 | + | 0.765744i | ||||
\(749\) | −0.00601707 | + | 0.0224560i | −0.000219859 | + | 0.000820525i | ||||
\(750\) | −11.3758 | − | 9.22115i | −0.415387 | − | 0.336709i | ||||
\(751\) | −22.5527 | − | 13.0208i | −0.822960 | − | 0.475136i | 0.0284763 | − | 0.999594i | \(-0.490934\pi\) |
−0.851436 | + | 0.524458i | \(0.824268\pi\) | |||||||
\(752\) | 0.602992 | + | 0.469515i | 0.0219889 | + | 0.0171214i | ||||
\(753\) | −45.0891 | + | 0.352986i | −1.64314 | + | 0.0128635i | ||||
\(754\) | 24.6256 | + | 20.2828i | 0.896812 | + | 0.738656i | ||||
\(755\) | −8.99509 | + | 8.99509i | −0.327365 | + | 0.327365i | ||||
\(756\) | 0.0881689 | + | 0.00401497i | 0.00320667 | + | 0.000146023i | ||||
\(757\) | 4.87465 | + | 4.87465i | 0.177172 | + | 0.177172i | 0.790122 | − | 0.612950i | \(-0.210017\pi\) |
−0.612950 | + | 0.790122i | \(0.710017\pi\) | |||||||
\(758\) | −40.7739 | + | 3.94299i | −1.48097 | + | 0.143216i | ||||
\(759\) | −0.262077 | − | 33.4767i | −0.00951279 | − | 1.21513i | ||||
\(760\) | −7.98237 | − | 12.9901i | −0.289551 | − | 0.471199i | ||||
\(761\) | 3.18964 | − | 5.52462i | 0.115624 | − | 0.200267i | −0.802405 | − | 0.596780i | \(-0.796446\pi\) |
0.918029 | + | 0.396513i | \(0.129780\pi\) | |||||||
\(762\) | −1.78700 | − | 17.0822i | −0.0647362 | − | 0.618824i | ||||
\(763\) | −0.0694221 | − | 0.0186016i | −0.00251325 | − | 0.000673423i | ||||
\(764\) | 19.0999 | − | 16.6309i | 0.691012 | − | 0.601685i | ||||
\(765\) | −7.78679 | − | 27.3410i | −0.281532 | − | 0.988518i | ||||
\(766\) | 5.67996 | − | 2.12631i | 0.205225 | − | 0.0768267i | ||||
\(767\) | 31.2827 | + | 54.1832i | 1.12955 | + | 1.95644i | ||||
\(768\) | −0.175615 | + | 27.7123i | −0.00633695 | + | 0.999980i | ||||
\(769\) | −9.57641 | + | 16.5868i | −0.345334 | + | 0.598136i | −0.985414 | − | 0.170172i | \(-0.945568\pi\) |
0.640080 | + | 0.768308i | \(0.278901\pi\) | |||||||
\(770\) | 0.0172357 | − | 0.103257i | 0.000621131 | − | 0.00372113i | ||||
\(771\) | 13.4298 | − | 3.71141i | 0.483661 | − | 0.133663i | ||||
\(772\) | 18.8967 | + | 6.48930i | 0.680109 | + | 0.233555i | ||||
\(773\) | −26.0627 | + | 26.0627i | −0.937411 | + | 0.937411i | −0.998153 | − | 0.0607427i | \(-0.980653\pi\) |
0.0607427 | + | 0.998153i | \(0.480653\pi\) | |||||||
\(774\) | 21.1990 | − | 15.6410i | 0.761982 | − | 0.562205i | ||||
\(775\) | −22.2015 | −0.797503 | ||||||||
\(776\) | 9.30185 | − | 0.255054i | 0.333917 | − | 0.00915592i | ||||
\(777\) | 0.00811437 | + | 0.0138038i | 0.000291101 | + | 0.000495209i | ||||
\(778\) | 13.3287 | + | 18.6700i | 0.477859 | + | 0.669351i | ||||
\(779\) | −9.82864 | + | 2.63358i | −0.352148 | + | 0.0943577i | ||||
\(780\) | 64.4968 | + | 3.94972i | 2.30935 | + | 0.141423i | ||||
\(781\) | 3.06912 | + | 0.822367i | 0.109822 | + | 0.0294266i | ||||
\(782\) | −27.8318 | + | 10.4189i | −0.995264 | + | 0.372580i | ||||
\(783\) | 15.0548 | − | 9.16991i | 0.538016 | − | 0.327706i | ||||
\(784\) | −3.85122 | + | 27.7336i | −0.137544 | + | 0.990485i | ||||
\(785\) | 48.0583 | − | 27.7464i | 1.71527 | − | 0.990313i | ||||
\(786\) | −7.30123 | − | 19.0481i | −0.260426 | − | 0.679423i | ||||
\(787\) | 11.0575 | − | 2.96285i | 0.394158 | − | 0.105614i | −0.0562956 | − | 0.998414i | \(-0.517929\pi\) |
0.450454 | + | 0.892800i | \(0.351262\pi\) | |||||||
\(788\) | 0.642587 | + | 0.432663i | 0.0228912 | + | 0.0154130i | ||||
\(789\) | 1.83690 | − | 7.07653i | 0.0653953 | − | 0.251931i | ||||
\(790\) | 1.92275 | + | 19.8828i | 0.0684082 | + | 0.707399i | ||||
\(791\) | − | 0.115586i | − | 0.00410975i | ||||||
\(792\) | −17.8230 | + | 19.4284i | −0.633313 | + | 0.690358i | ||||
\(793\) | − | 67.8655i | − | 2.40997i | ||||||
\(794\) | 4.43408 | − | 0.428793i | 0.157360 | − | 0.0152173i | ||||
\(795\) | −4.97087 | + | 1.37374i | −0.176299 | + | 0.0487215i | ||||
\(796\) | −6.91901 | − | 35.4397i | −0.245238 | − | 1.25613i | ||||
\(797\) | −4.17990 | + | 1.12000i | −0.148060 | + | 0.0396725i | −0.332088 | − | 0.943249i | \(-0.607753\pi\) |
0.184028 | + | 0.982921i | \(0.441086\pi\) | |||||||
\(798\) | 0.00627292 | − | 0.0394812i | 0.000222059 | − | 0.00139762i | ||||
\(799\) | 0.558944 | − | 0.322706i | 0.0197740 | − | 0.0114165i | ||||
\(800\) | −15.8365 | + | 3.54503i | −0.559906 | + | 0.125336i | ||||
\(801\) | −0.853772 | − | 54.5255i | −0.0301666 | − | 1.92656i | ||||
\(802\) | −4.25575 | − | 11.3683i | −0.150276 | − | 0.401427i | ||||
\(803\) | −21.9368 | − | 5.87794i | −0.774132 | − | 0.207428i | ||||
\(804\) | 26.4301 | + | 8.84564i | 0.932119 | + | 0.311962i | ||||
\(805\) | 0.143147 | − | 0.0383562i | 0.00504528 | − | 0.00135188i | ||||
\(806\) | −59.2325 | + | 42.2869i | −2.08638 | + | 1.48949i | ||||
\(807\) | 33.7612 | − | 0.264304i | 1.18845 | − | 0.00930394i | ||||
\(808\) | 5.37025 | − | 5.67305i | 0.188925 | − | 0.199577i | ||||
\(809\) | −22.7884 | −0.801198 | −0.400599 | − | 0.916253i | \(-0.631198\pi\) | ||||
−0.400599 | + | 0.916253i | \(0.631198\pi\) | |||||||
\(810\) | 13.7681 | − | 32.9422i | 0.483760 | − | 1.15747i | ||||
\(811\) | −14.9053 | + | 14.9053i | −0.523396 | + | 0.523396i | −0.918595 | − | 0.395200i | \(-0.870675\pi\) |
0.395200 | + | 0.918595i | \(0.370675\pi\) | |||||||
\(812\) | −0.0253029 | − | 0.0517705i | −0.000887957 | − | 0.00181679i | ||||
\(813\) | −17.6753 | − | 17.4007i | −0.619901 | − | 0.610270i | ||||
\(814\) | −4.71787 | − | 0.787508i | −0.165361 | − | 0.0276022i | ||||
\(815\) | −12.5315 | + | 21.7052i | −0.438959 | + | 0.760299i | ||||
\(816\) | 21.6294 | + | 8.94030i | 0.757181 | + | 0.312973i | ||||
\(817\) | −5.96623 | − | 10.3338i | −0.208732 | − | 0.361535i | ||||
\(818\) | −18.3712 | − | 49.0744i | −0.642333 | − | 1.71585i | ||||
\(819\) | 0.121663 | + | 0.117912i | 0.00425126 | + | 0.00412018i | ||||
\(820\) | −2.04790 | + | 29.6364i | −0.0715158 | + | 1.03495i | ||||
\(821\) | 43.8854 | + | 11.7591i | 1.53161 | + | 0.410394i | 0.923544 | − | 0.383492i | \(-0.125279\pi\) |
0.608067 | + | 0.793886i | \(0.291945\pi\) | |||||||
\(822\) | 7.82286 | + | 10.7783i | 0.272853 | + | 0.375936i | ||||
\(823\) | −22.8842 | + | 39.6366i | −0.797694 | + | 1.38165i | 0.123421 | + | 0.992354i | \(0.460614\pi\) |
−0.921115 | + | 0.389292i | \(0.872720\pi\) | |||||||
\(824\) | −16.3631 | − | 26.6284i | −0.570036 | − | 0.927646i | ||||
\(825\) | −13.4308 | − | 7.61473i | −0.467601 | − | 0.265111i | ||||
\(826\) | −0.0108773 | − | 0.112480i | −0.000378468 | − | 0.00391369i | ||||
\(827\) | 22.0262 | + | 22.0262i | 0.765925 | + | 0.765925i | 0.977386 | − | 0.211461i | \(-0.0678222\pi\) |
−0.211461 | + | 0.977386i | \(0.567822\pi\) | |||||||
\(828\) | −35.4855 | − | 11.5682i | −1.23321 | − | 0.402022i | ||||
\(829\) | 28.3392 | − | 28.3392i | 0.984261 | − | 0.984261i | −0.0156173 | − | 0.999878i | \(-0.504971\pi\) |
0.999878 | + | 0.0156173i | \(0.00497134\pi\) | |||||||
\(830\) | −32.6463 | + | 39.6363i | −1.13317 | + | 1.37580i | ||||
\(831\) | 5.81117 | + | 9.88571i | 0.201587 | + | 0.342931i | ||||
\(832\) | −35.4988 | + | 39.6215i | −1.23070 | + | 1.37363i | ||||
\(833\) | 20.4785 | + | 11.8233i | 0.709539 | + | 0.409653i | ||||
\(834\) | 12.3417 | + | 32.1981i | 0.427358 | + | 1.11493i | ||||
\(835\) | 8.63262 | − | 32.2174i | 0.298744 | − | 1.11493i | ||||
\(836\) | 7.84191 | + | 9.00613i | 0.271218 | + | 0.311483i | ||||
\(837\) | 11.3171 | + | 38.5874i | 0.391176 | + | 1.33377i | ||||
\(838\) | −12.1140 | + | 26.6108i | −0.418473 | + | 0.919256i | ||||
\(839\) | 15.8724 | − | 9.16393i | 0.547976 | − | 0.316374i | −0.200329 | − | 0.979729i | \(-0.564201\pi\) |
0.748305 | + | 0.663355i | \(0.230868\pi\) | |||||||
\(840\) | −0.103068 | − | 0.0547582i | −0.00355620 | − | 0.00188934i | ||||
\(841\) | 15.1479 | + | 8.74565i | 0.522342 | + | 0.301574i | ||||
\(842\) | −11.1530 | + | 7.96225i | −0.384356 | + | 0.274397i | ||||
\(843\) | −6.17072 | − | 1.60177i | −0.212531 | − | 0.0551679i | ||||
\(844\) | −2.12232 | − | 4.34234i | −0.0730534 | − | 0.149470i | ||||
\(845\) | 61.9244 | + | 61.9244i | 2.13026 | + | 2.13026i | ||||
\(846\) | 0.801515 | + | 0.120923i | 0.0275567 | + | 0.00415741i | ||||
\(847\) | − | 0.0114274i | − | 0.000392650i | ||||||
\(848\) | 1.65254 | − | 3.91100i | 0.0567483 | − | 0.134304i | ||||
\(849\) | 6.54287 | + | 3.70954i | 0.224551 | + | 0.127311i | ||||
\(850\) | −2.25649 | + | 13.5184i | −0.0773969 | + | 0.463676i | ||||
\(851\) | −1.75252 | − | 6.54048i | −0.0600755 | − | 0.224205i | ||||
\(852\) | 1.95540 | − | 2.95380i | 0.0669909 | − | 0.101195i | ||||
\(853\) | 6.36992 | − | 23.7728i | 0.218102 | − | 0.813967i | −0.766950 | − | 0.641707i | \(-0.778227\pi\) |
0.985052 | − | 0.172260i | \(-0.0551068\pi\) | |||||||
\(854\) | −0.0507863 | + | 0.111562i | −0.00173787 | + | 0.00381757i | ||||
\(855\) | −14.1298 | − | 7.86550i | −0.483229 | − | 0.268994i | ||||
\(856\) | −7.42093 | + | 2.20814i | −0.253642 | + | 0.0754726i | ||||
\(857\) | 0.838395 | + | 1.45214i | 0.0286390 | + | 0.0496043i | 0.879990 | − | 0.474993i | \(-0.157549\pi\) |
−0.851351 | + | 0.524597i | \(0.824216\pi\) | |||||||
\(858\) | −50.3364 | + | 5.26577i | −1.71846 | + | 0.179770i | ||||
\(859\) | 3.61213 | + | 13.4806i | 0.123244 | + | 0.459954i | 0.999771 | − | 0.0213994i | \(-0.00681216\pi\) |
−0.876527 | + | 0.481353i | \(0.840145\pi\) | |||||||
\(860\) | −34.1914 | + | 6.67531i | −1.16592 | + | 0.227626i | ||||
\(861\) | −0.0546446 | + | 0.0555070i | −0.00186228 | + | 0.00189167i | ||||
\(862\) | −27.6908 | − | 22.8075i | −0.943154 | − | 0.776825i | ||||
\(863\) | −31.6409 | −1.07707 | −0.538535 | − | 0.842603i | \(-0.681022\pi\) | ||||
−0.538535 | + | 0.842603i | \(0.681022\pi\) | |||||||
\(864\) | 14.2340 | + | 25.7176i | 0.484250 | + | 0.874930i | ||||
\(865\) | 1.36046 | 0.0462570 | ||||||||
\(866\) | 11.4884 | + | 9.46238i | 0.390392 | + | 0.321545i | ||||
\(867\) | −6.79048 | + | 6.89764i | −0.230617 | + | 0.234256i | ||||
\(868\) | 0.129015 | − | 0.0251881i | 0.00437907 | − | 0.000854941i | ||||
\(869\) | −4.04940 | − | 15.1126i | −0.137366 | − | 0.512658i | ||||
\(870\) | −23.1836 | + | 2.42527i | −0.785996 | + | 0.0822244i | ||||
\(871\) | 26.7509 | + | 46.3340i | 0.906421 | + | 1.56997i | ||||
\(872\) | −6.82639 | − | 22.9416i | −0.231171 | − | 0.776900i | ||||
\(873\) | 8.46919 | − | 5.06812i | 0.286639 | − | 0.171530i | ||||
\(874\) | −7.00416 | + | 15.3860i | −0.236919 | + | 0.520438i | ||||
\(875\) | −0.0131409 | + | 0.0490426i | −0.000444244 | + | 0.00165794i | ||||
\(876\) | −13.9764 | + | 21.1125i | −0.472218 | + | 0.713326i | ||||
\(877\) | −7.88760 | − | 29.4369i | −0.266345 | − | 0.994014i | −0.961422 | − | 0.275078i | \(-0.911296\pi\) |
0.695077 | − | 0.718936i | \(-0.255370\pi\) | |||||||
\(878\) | 0.769991 | − | 4.61293i | 0.0259859 | − | 0.155679i | ||||
\(879\) | −22.8944 | − | 12.9802i | −0.772210 | − | 0.437812i | ||||
\(880\) | 32.3039 | − | 13.1135i | 1.08897 | − | 0.442054i | ||||
\(881\) | − | 10.2116i | − | 0.344037i | −0.985094 | − | 0.172019i | \(-0.944971\pi\) | ||
0.985094 | − | 0.172019i | \(-0.0550290\pi\) | |||||||
\(882\) | 10.8461 | + | 27.6468i | 0.365208 | + | 0.930915i | ||||
\(883\) | 7.98299 | + | 7.98299i | 0.268649 | + | 0.268649i | 0.828556 | − | 0.559907i | \(-0.189163\pi\) |
−0.559907 | + | 0.828556i | \(0.689163\pi\) | |||||||
\(884\) | 19.7280 | + | 40.3642i | 0.663525 | + | 1.35759i | ||||
\(885\) | −44.2471 | − | 11.4855i | −1.48735 | − | 0.386080i | ||||
\(886\) | 6.46370 | − | 4.61452i | 0.217152 | − | 0.155028i | ||||
\(887\) | 9.34850 | + | 5.39736i | 0.313892 | + | 0.181226i | 0.648667 | − | 0.761073i | \(-0.275327\pi\) |
−0.334775 | + | 0.942298i | \(0.608660\pi\) | |||||||
\(888\) | −2.50194 | + | 4.70926i | −0.0839595 | + | 0.158032i | ||||
\(889\) | −0.0515723 | + | 0.0297753i | −0.00172968 | + | 0.000998630i | ||||
\(890\) | −29.8769 | + | 65.6304i | −1.00148 | + | 2.19994i | ||||
\(891\) | −6.38849 | + | 27.2250i | −0.214022 | + | 0.912071i | ||||
\(892\) | 0.0431602 | + | 0.0495678i | 0.00144511 | + | 0.00165965i | ||||
\(893\) | 0.0950241 | − | 0.354635i | 0.00317986 | − | 0.0118674i | ||||
\(894\) | 8.32500 | + | 21.7190i | 0.278430 | + | 0.726392i | ||||
\(895\) | −23.7626 | − | 13.7193i | −0.794295 | − | 0.458586i | ||||
\(896\) | 0.0880057 | − | 0.0385674i | 0.00294006 | − | 0.00128845i | ||||
\(897\) | −36.3081 | − | 61.7657i | −1.21229 | − | 2.06230i | ||||
\(898\) | −3.38472 | + | 4.10944i | −0.112950 | + | 0.137134i | ||||
\(899\) | 18.5643 | − | 18.5643i | 0.619155 | − | 0.619155i | ||||
\(900\) | −12.8029 | + | 11.5052i | −0.426762 | + | 0.383506i | ||||
\(901\) | −2.53547 | − | 2.53547i | −0.0844688 | − | 0.0844688i | ||||
\(902\) | −2.23963 | − | 23.1597i | −0.0745716 | − | 0.771134i | ||||
\(903\) | −0.0794594 | − | 0.0450503i | −0.00264424 | − | 0.00149918i | ||||
\(904\) | 32.7969 | − | 20.1536i | 1.09081 | − | 0.670299i | ||||
\(905\) | −4.35887 | + | 7.54978i | −0.144894 | + | 0.250963i | ||||
\(906\) | −6.52483 | − | 8.98986i | −0.216773 | − | 0.298668i | ||||
\(907\) | 7.67746 | + | 2.05717i | 0.254926 | + | 0.0683072i | 0.384019 | − | 0.923325i | \(-0.374540\pi\) |
−0.129093 | + | 0.991633i | \(0.541206\pi\) | |||||||
\(908\) | −2.55588 | + | 36.9877i | −0.0848199 | + | 1.22748i | ||||
\(909\) | 2.01890 | − | 8.03585i | 0.0669628 | − | 0.266532i | ||||
\(910\) | −0.0785472 | − | 0.209821i | −0.00260382 | − | 0.00695550i | ||||
\(911\) | −17.5142 | − | 30.3354i | −0.580270 | − | 1.00506i | −0.995447 | − | 0.0953171i | \(-0.969614\pi\) |
0.415176 | − | 0.909741i | \(-0.363720\pi\) | |||||||
\(912\) | 12.2964 | − | 5.10406i | 0.407173 | − | 0.169012i | ||||
\(913\) | 20.1096 | − | 34.8309i | 0.665532 | − | 1.15274i | ||||
\(914\) | 29.7389 | + | 4.96402i | 0.983676 | + | 0.164195i | ||||
\(915\) | 35.3360 | + | 34.7870i | 1.16817 | + | 1.15002i | ||||
\(916\) | −23.9635 | − | 49.0301i | −0.791776 | − | 1.62000i | ||||
\(917\) | −0.0500128 | + | 0.0500128i | −0.00165157 | + | 0.00165157i | ||||
\(918\) | 24.6458 | − | 2.96901i | 0.813433 | − | 0.0979920i | ||||
\(919\) | 25.9311 | 0.855387 | 0.427694 | − | 0.903924i | \(-0.359326\pi\) | ||||
0.427694 | + | 0.903924i | \(0.359326\pi\) | |||||||
\(920\) | 35.8427 | + | 33.9295i | 1.18170 | + | 1.11862i | ||||
\(921\) | −57.3882 | + | 0.449271i | −1.89101 | + | 0.0148040i | ||||
\(922\) | 44.6804 | − | 31.8979i | 1.47147 | − | 1.05050i | ||||
\(923\) | 6.56833 | − | 1.75998i | 0.216199 | − | 0.0579304i | ||||
\(924\) | 0.0866870 | + | 0.0290124i | 0.00285179 | + | 0.000954438i | ||||
\(925\) | −3.01634 | − | 0.808226i | −0.0991767 | − | 0.0265743i | ||||
\(926\) | 4.17705 | + | 11.1580i | 0.137266 | + | 0.366676i | ||||
\(927\) | −28.9648 | − | 16.1235i | −0.951329 | − | 0.529567i | ||||
\(928\) | 10.2778 | − | 16.2063i | 0.337386 | − | 0.531999i | ||||
\(929\) | −23.3443 | + | 13.4779i | −0.765903 | + | 0.442194i | −0.831411 | − | 0.555658i | \(-0.812466\pi\) |
0.0655082 | + | 0.997852i | \(0.479133\pi\) | |||||||
\(930\) | 8.34406 | − | 52.5167i | 0.273613 | − | 1.72209i | ||||
\(931\) | 12.9931 | − | 3.48148i | 0.425831 | − | 0.114101i | ||||
\(932\) | −2.84679 | − | 14.5815i | −0.0932497 | − | 0.477632i | ||||
\(933\) | 49.9451 | − | 13.8027i | 1.63513 | − | 0.451880i | ||||
\(934\) | 38.7271 | − | 3.74506i | 1.26719 | − | 0.122542i | ||||
\(935\) | − | 29.4438i | − | 0.962914i | ||||||
\(936\) | −12.2436 | + | 55.0806i | −0.400196 | + | 1.80037i | ||||
\(937\) | 5.72005i | 0.186866i | 0.995626 | + | 0.0934330i | \(0.0297841\pi\) | ||||
−0.995626 | + | 0.0934330i | \(0.970216\pi\) | |||||||
\(938\) | −0.00930153 | − | 0.0961857i | −0.000303706 | − | 0.00314057i | ||||
\(939\) | −6.55828 | + | 25.2654i | −0.214021 | + | 0.824504i | ||||
\(940\) | −0.889123 | − | 0.598659i | −0.0290000 | − | 0.0195261i | ||||
\(941\) | 22.9223 | − | 6.14201i | 0.747245 | − | 0.200224i | 0.134949 | − | 0.990853i | \(-0.456913\pi\) |
0.612296 | + | 0.790629i | \(0.290246\pi\) | |||||||
\(942\) | 17.3435 | + | 45.2472i | 0.565081 | + | 1.47423i | ||||
\(943\) | 28.5257 | − | 16.4693i | 0.928925 | − | 0.536315i | ||||
\(944\) | 30.0192 | − | 22.6985i | 0.977040 | − | 0.738774i | ||||
\(945\) | −0.123757 | + | 0.00290702i | −0.00402582 | + | 9.45655e-5i | ||||
\(946\) | 25.5538 | − | 9.56615i | 0.830826 | − | 0.311022i | ||||
\(947\) | 52.2601 | + | 14.0030i | 1.69822 | + | 0.455038i | 0.972491 | − | 0.232940i | \(-0.0748344\pi\) |
0.725732 | + | 0.687977i | \(0.241501\pi\) | |||||||
\(948\) | −17.4104 | − | 1.06619i | −0.565462 | − | 0.0346284i | ||||
\(949\) | −46.9477 | + | 12.5796i | −1.52399 | + | 0.408351i | ||||
\(950\) | 4.52998 | + | 6.34527i | 0.146972 | + | 0.205868i | ||||
\(951\) | 18.3242 | + | 31.1724i | 0.594204 | + | 1.01083i | ||||
\(952\) | −0.00222420 | − | 0.0811166i | −7.20867e−5 | − | 0.00262901i | ||||
\(953\) | −2.80246 | −0.0907805 | −0.0453902 | − | 0.998969i | \(-0.514453\pi\) | ||||
−0.0453902 | + | 0.998969i | \(0.514453\pi\) | |||||||
\(954\) | −0.503594 | − | 4.47510i | −0.0163045 | − | 0.144887i | ||||
\(955\) | −25.1173 | + | 25.1173i | −0.812775 | + | 0.812775i | ||||
\(956\) | 10.1095 | + | 3.47169i | 0.326965 | + | 0.112283i | ||||
\(957\) | 17.5977 | − | 4.86326i | 0.568854 | − | 0.157207i | ||||
\(958\) | −4.85591 | + | 29.0912i | −0.156887 | + | 0.939895i | ||||
\(959\) | 0.0230880 | − | 0.0399895i | 0.000745550 | − | 0.00129133i | ||||
\(960\) | −2.43372 | − | 38.7929i | −0.0785481 | − | 1.25204i | ||||
\(961\) | 14.4456 | + | 25.0204i | 0.465986 | + | 0.807111i | ||||
\(962\) | −9.58685 | + | 3.58887i | −0.309093 | + | 0.115710i | ||||
\(963\) | −5.71524 | + | 5.89707i | −0.184171 | + | 0.190030i | ||||
\(964\) | 32.9764 | − | 28.7136i | 1.06210 | − | 0.924803i | ||||
\(965\) | −27.0684 | − | 7.25296i | −0.871363 | − | 0.233481i | ||||
\(966\) | 0.0134641 | + | 0.128705i | 0.000433200 | + | 0.00414103i | ||||
\(967\) | −7.66141 | + | 13.2699i | −0.246374 | + | 0.426733i | −0.962517 | − | 0.271221i | \(-0.912573\pi\) |
0.716143 | + | 0.697954i | \(0.245906\pi\) | |||||||
\(968\) | 3.24247 | − | 1.99249i | 0.104217 | − | 0.0640411i | ||||
\(969\) | −0.0880203 | − | 11.2434i | −0.00282762 | − | 0.361189i | ||||
\(970\) | −12.9908 | + | 1.25626i | −0.417109 | + | 0.0403361i | ||||
\(971\) | −22.7938 | − | 22.7938i | −0.731487 | − | 0.731487i | 0.239428 | − | 0.970914i | \(-0.423040\pi\) |
−0.970914 | + | 0.239428i | \(0.923040\pi\) | |||||||
\(972\) | 26.5227 | + | 16.3873i | 0.850717 | + | 0.525623i | ||||
\(973\) | 0.0845395 | − | 0.0845395i | 0.00271021 | − | 0.00271021i | ||||
\(974\) | −37.1286 | − | 30.5808i | −1.18968 | − | 0.979872i | ||||
\(975\) | −33.0411 | + | 0.258667i | −1.05816 | + | 0.00828397i | ||||
\(976\) | −40.5103 | + | 5.04166i | −1.29670 | + | 0.161380i | ||||
\(977\) | −20.2451 | − | 11.6885i | −0.647699 | − | 0.373949i | 0.139875 | − | 0.990169i | \(-0.455330\pi\) |
−0.787574 | + | 0.616220i | \(0.788663\pi\) | |||||||
\(978\) | −17.0014 | − | 13.7812i | −0.543645 | − | 0.440674i | ||||
\(979\) | 14.6181 | − | 54.5556i | 0.467197 | − | 1.74360i | ||||
\(980\) | 2.70724 | − | 39.1781i | 0.0864797 | − | 1.25150i | ||||
\(981\) | −18.2306 | − | 17.6685i | −0.582059 | − | 0.564112i | ||||
\(982\) | −1.88342 | − | 0.857389i | −0.0601023 | − | 0.0273604i | ||||
\(983\) | −30.2556 | + | 17.4681i | −0.965005 | + | 0.557146i | −0.897710 | − | 0.440587i | \(-0.854770\pi\) |
−0.0672949 | + | 0.997733i | \(0.521437\pi\) | |||||||
\(984\) | −25.2777 | − | 5.82691i | −0.805825 | − | 0.185755i | ||||
\(985\) | −0.940963 | − | 0.543265i | −0.0299816 | − | 0.0173099i | ||||
\(986\) | −9.41688 | − | 13.1905i | −0.299895 | − | 0.420071i | ||||
\(987\) | −0.000748629 | − | 0.00270891i | −2.38291e−5 | − | 8.62257e-5i | ||||
\(988\) | 24.1715 | + | 8.30069i | 0.768997 | + | 0.264080i | ||||
\(989\) | 27.3131 | + | 27.3131i | 0.868507 | + | 0.868507i | ||||
\(990\) | 23.0600 | − | 28.9081i | 0.732896 | − | 0.918761i | ||||
\(991\) | 58.5560i | 1.86009i | 0.367440 | + | 0.930047i | \(0.380234\pi\) | ||||
−0.367440 | + | 0.930047i | \(0.619766\pi\) | |||||||
\(992\) | 29.6423 | + | 32.2157i | 0.941143 | + | 1.02285i | ||||
\(993\) | 28.5137 | − | 16.7614i | 0.904855 | − | 0.531906i | ||||
\(994\) | −0.0121145 | − | 0.00202216i | −0.000384249 | − | 6.41390e-5i | ||||
\(995\) | 13.1079 | + | 48.9194i | 0.415549 | + | 1.55085i | ||||
\(996\) | −29.7090 | − | 33.5851i | −0.941365 | − | 1.06418i | ||||
\(997\) | −11.7727 | + | 43.9362i | −0.372844 | + | 1.39147i | 0.483624 | + | 0.875276i | \(0.339320\pi\) |
−0.856469 | + | 0.516199i | \(0.827347\pi\) | |||||||
\(998\) | 46.9153 | + | 21.3572i | 1.48508 | + | 0.676051i | ||||
\(999\) | 0.132824 | + | 5.65453i | 0.00420235 | + | 0.178902i |
(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 | 144.2.u.a.59.6 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.17 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.16 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.14 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.9 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.18 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.14 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.5 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.18 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.5 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.18 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.9 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.16 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.18 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.6 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.17 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.14 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.6 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.6 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.14 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.17 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.9 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.9 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.17 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.16 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.5 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.5 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.16 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.18 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.18 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.18 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.18 | 88 | 48.29 | odd | 4 |