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 | 83.12 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.12 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0381759 | − | 1.41370i | 0.0269945 | − | 0.999636i | ||||
\(3\) | −1.59321 | + | 0.679468i | −0.919841 | + | 0.392291i | ||||
\(4\) | −1.99709 | − | 0.107938i | −0.998543 | − | 0.0539692i | ||||
\(5\) | −0.642590 | + | 2.39818i | −0.287375 | + | 1.07250i | 0.659711 | + | 0.751519i | \(0.270679\pi\) |
−0.947086 | + | 0.320979i | \(0.895988\pi\) | |||||||
\(6\) | 0.899740 | + | 2.27826i | 0.367317 | + | 0.930096i | ||||
\(7\) | −1.93190 | + | 3.34616i | −0.730191 | + | 1.26473i | 0.226610 | + | 0.973985i | \(0.427236\pi\) |
−0.956801 | + | 0.290742i | \(0.906098\pi\) | |||||||
\(8\) | −0.228833 | + | 2.81916i | −0.0809047 | + | 0.996722i | ||||
\(9\) | 2.07665 | − | 2.16507i | 0.692216 | − | 0.721691i | ||||
\(10\) | 3.36577 | + | 0.999982i | 1.06435 | + | 0.316222i | ||||
\(11\) | −1.07665 | − | 4.01810i | −0.324621 | − | 1.21150i | −0.914692 | − | 0.404151i | \(-0.867567\pi\) |
0.590071 | − | 0.807351i | \(-0.299100\pi\) | |||||||
\(12\) | 3.25512 | − | 1.18499i | 0.939672 | − | 0.342076i | ||||
\(13\) | −0.850284 | + | 3.17330i | −0.235826 | + | 0.880116i | 0.741948 | + | 0.670457i | \(0.233902\pi\) |
−0.977775 | + | 0.209659i | \(0.932765\pi\) | |||||||
\(14\) | 4.65670 | + | 2.85887i | 1.24456 | + | 0.764066i | ||||
\(15\) | −0.605703 | − | 4.25743i | −0.156392 | − | 1.09926i | ||||
\(16\) | 3.97670 | + | 0.431125i | 0.994175 | + | 0.107781i | ||||
\(17\) | − | 1.33161i | − | 0.322963i | −0.986876 | − | 0.161482i | \(-0.948373\pi\) | ||
0.986876 | − | 0.161482i | \(-0.0516272\pi\) | |||||||
\(18\) | −2.98148 | − | 3.01841i | −0.702742 | − | 0.711445i | ||||
\(19\) | −6.09021 | + | 6.09021i | −1.39719 | + | 1.39719i | −0.589208 | + | 0.807981i | \(0.700560\pi\) |
−0.807981 | + | 0.589208i | \(0.799440\pi\) | |||||||
\(20\) | 1.54216 | − | 4.72001i | 0.344838 | − | 1.05543i | ||||
\(21\) | 0.804327 | − | 6.64380i | 0.175519 | − | 1.44980i | ||||
\(22\) | −5.72148 | + | 1.36866i | −1.21982 | + | 0.291799i | ||||
\(23\) | 0.521462 | − | 0.301066i | 0.108732 | − | 0.0627767i | −0.444648 | − | 0.895706i | \(-0.646671\pi\) |
0.553380 | + | 0.832929i | \(0.313338\pi\) | |||||||
\(24\) | −1.55095 | − | 4.64700i | −0.316585 | − | 0.948564i | ||||
\(25\) | −1.00822 | − | 0.582095i | −0.201643 | − | 0.116419i | ||||
\(26\) | 4.45363 | + | 1.32319i | 0.873429 | + | 0.259499i | ||||
\(27\) | −1.83744 | + | 4.86043i | −0.353616 | + | 0.935391i | ||||
\(28\) | 4.21936 | − | 6.47403i | 0.797383 | − | 1.22348i | ||||
\(29\) | 0.0730837 | + | 0.272752i | 0.0135713 | + | 0.0506488i | 0.972379 | − | 0.233406i | \(-0.0749870\pi\) |
−0.958808 | + | 0.284054i | \(0.908320\pi\) | |||||||
\(30\) | −6.04184 | + | 0.693750i | −1.10308 | + | 0.126661i | ||||
\(31\) | 5.84901 | − | 3.37693i | 1.05051 | − | 0.606514i | 0.127721 | − | 0.991810i | \(-0.459234\pi\) |
0.922793 | + | 0.385296i | \(0.125901\pi\) | |||||||
\(32\) | 0.761294 | − | 5.60539i | 0.134579 | − | 0.990903i | ||||
\(33\) | 4.44549 | + | 5.67013i | 0.773861 | + | 0.987044i | ||||
\(34\) | −1.88250 | − | 0.0508355i | −0.322845 | − | 0.00871821i | ||||
\(35\) | −6.78326 | − | 6.78326i | −1.14658 | − | 1.14658i | ||||
\(36\) | −4.38094 | + | 4.09968i | −0.730156 | + | 0.683280i | ||||
\(37\) | 0.00346351 | − | 0.00346351i | 0.000569398 | − | 0.000569398i | −0.706822 | − | 0.707391i | \(-0.749872\pi\) |
0.707391 | + | 0.706822i | \(0.249872\pi\) | |||||||
\(38\) | 8.37722 | + | 8.84221i | 1.35896 | + | 1.43440i | ||||
\(39\) | −0.801475 | − | 5.63348i | −0.128339 | − | 0.902079i | ||||
\(40\) | −6.61380 | − | 2.36034i | −1.04573 | − | 0.373203i | ||||
\(41\) | 0.614318 | + | 1.06403i | 0.0959403 | + | 0.166174i | 0.910001 | − | 0.414607i | \(-0.136081\pi\) |
−0.814060 | + | 0.580780i | \(0.802748\pi\) | |||||||
\(42\) | −9.36162 | − | 1.39071i | −1.44453 | − | 0.214591i | ||||
\(43\) | 0.563698 | − | 0.151042i | 0.0859631 | − | 0.0230337i | −0.215581 | − | 0.976486i | \(-0.569165\pi\) |
0.301544 | + | 0.953452i | \(0.402498\pi\) | |||||||
\(44\) | 1.71645 | + | 8.14070i | 0.258764 | + | 1.22726i | ||||
\(45\) | 3.85780 | + | 6.37143i | 0.575087 | + | 0.949796i | ||||
\(46\) | −0.405710 | − | 0.748684i | −0.0598186 | − | 0.110387i | ||||
\(47\) | −1.24972 | + | 2.16458i | −0.182290 | + | 0.315736i | −0.942660 | − | 0.333754i | \(-0.891684\pi\) |
0.760370 | + | 0.649490i | \(0.225018\pi\) | |||||||
\(48\) | −6.62866 | + | 2.01517i | −0.956764 | + | 0.290864i | ||||
\(49\) | −3.96450 | − | 6.86672i | −0.566358 | − | 0.980960i | ||||
\(50\) | −0.861396 | + | 1.40309i | −0.121820 | + | 0.198427i | ||||
\(51\) | 0.904787 | + | 2.12154i | 0.126695 | + | 0.297075i | ||||
\(52\) | 2.04061 | − | 6.24558i | 0.282982 | − | 0.866106i | ||||
\(53\) | 3.24883 | + | 3.24883i | 0.446262 | + | 0.446262i | 0.894110 | − | 0.447848i | \(-0.147809\pi\) |
−0.447848 | + | 0.894110i | \(0.647809\pi\) | |||||||
\(54\) | 6.80104 | + | 2.78314i | 0.925504 | + | 0.378737i | ||||
\(55\) | 10.3280 | 1.39262 | ||||||||
\(56\) | −8.99125 | − | 6.21205i | −1.20151 | − | 0.830120i | ||||
\(57\) | 5.56489 | − | 13.8411i | 0.737088 | − | 1.83330i | ||||
\(58\) | 0.388379 | − | 0.0929058i | 0.0509967 | − | 0.0121991i | ||||
\(59\) | 5.40194 | + | 1.44745i | 0.703273 | + | 0.188441i | 0.592696 | − | 0.805426i | \(-0.298064\pi\) |
0.110577 | + | 0.993868i | \(0.464730\pi\) | |||||||
\(60\) | 0.750101 | + | 8.56782i | 0.0968376 | + | 1.10610i | ||||
\(61\) | −1.97301 | + | 0.528668i | −0.252619 | + | 0.0676890i | −0.382906 | − | 0.923787i | \(-0.625077\pi\) |
0.130287 | + | 0.991476i | \(0.458410\pi\) | |||||||
\(62\) | −4.55067 | − | 8.39766i | −0.577935 | − | 1.06650i | ||||
\(63\) | 3.23278 | + | 11.1315i | 0.407293 | + | 1.40244i | ||||
\(64\) | −7.89527 | − | 1.29023i | −0.986909 | − | 0.161279i | ||||
\(65\) | −7.06377 | − | 4.07827i | −0.876153 | − | 0.505847i | ||||
\(66\) | 8.18557 | − | 6.06812i | 1.00757 | − | 0.746934i | ||||
\(67\) | 9.90429 | + | 2.65385i | 1.21000 | + | 0.324219i | 0.806763 | − | 0.590876i | \(-0.201218\pi\) |
0.403239 | + | 0.915095i | \(0.367884\pi\) | |||||||
\(68\) | −0.143732 | + | 2.65934i | −0.0174301 | + | 0.322492i | ||||
\(69\) | −0.626235 | + | 0.833979i | −0.0753898 | + | 0.100399i | ||||
\(70\) | −9.84844 | + | 9.33053i | −1.17711 | + | 1.11521i | ||||
\(71\) | 7.85052i | 0.931685i | 0.884868 | + | 0.465843i | \(0.154249\pi\) | ||||
−0.884868 | + | 0.465843i | \(0.845751\pi\) | |||||||
\(72\) | 5.62847 | + | 6.34983i | 0.663321 | + | 0.748335i | ||||
\(73\) | 7.41855i | 0.868275i | 0.900847 | + | 0.434138i | \(0.142947\pi\) | ||||
−0.900847 | + | 0.434138i | \(0.857053\pi\) | |||||||
\(74\) | −0.00476414 | − | 0.00502859i | −0.000553820 | − | 0.000584561i | ||||
\(75\) | 2.00182 | + | 0.242349i | 0.231150 | + | 0.0279840i | ||||
\(76\) | 12.8200 | − | 11.5053i | 1.47056 | − | 1.31975i | ||||
\(77\) | 15.5252 | + | 4.15995i | 1.76926 | + | 0.474071i | ||||
\(78\) | −7.99464 | + | 0.917980i | −0.905215 | + | 0.103941i | ||||
\(79\) | 0.839597 | + | 0.484742i | 0.0944620 | + | 0.0545377i | 0.546487 | − | 0.837468i | \(-0.315965\pi\) |
−0.452025 | + | 0.892005i | \(0.649298\pi\) | |||||||
\(80\) | −3.58930 | + | 9.25980i | −0.401296 | + | 1.03528i | ||||
\(81\) | −0.375072 | − | 8.99218i | −0.0416747 | − | 0.999131i | ||||
\(82\) | 1.52767 | − | 0.827840i | 0.168703 | − | 0.0914196i | ||||
\(83\) | −0.639302 | + | 0.171300i | −0.0701725 | + | 0.0188027i | −0.293735 | − | 0.955887i | \(-0.594898\pi\) |
0.223562 | + | 0.974690i | \(0.428231\pi\) | |||||||
\(84\) | −2.32343 | + | 13.1814i | −0.253507 | + | 1.43821i | ||||
\(85\) | 3.19344 | + | 0.855680i | 0.346378 | + | 0.0928116i | ||||
\(86\) | −0.192009 | − | 0.802665i | −0.0207048 | − | 0.0865535i | ||||
\(87\) | −0.301764 | − | 0.384894i | −0.0323525 | − | 0.0412650i | ||||
\(88\) | 11.5740 | − | 2.11576i | 1.23379 | − | 0.225541i | ||||
\(89\) | −11.2223 | −1.18956 | −0.594781 | − | 0.803887i | \(-0.702761\pi\) | ||||
−0.594781 | + | 0.803887i | \(0.702761\pi\) | |||||||
\(90\) | 9.15455 | − | 5.21053i | 0.964974 | − | 0.549238i | ||||
\(91\) | −8.97570 | − | 8.97570i | −0.940909 | − | 0.940909i | ||||
\(92\) | −1.07390 | + | 0.544969i | −0.111962 | + | 0.0568170i | ||||
\(93\) | −7.02420 | + | 9.35438i | −0.728376 | + | 0.970004i | ||||
\(94\) | 3.01235 | + | 1.84936i | 0.310700 | + | 0.190747i | ||||
\(95\) | −10.6919 | − | 18.5189i | −1.09697 | − | 1.90000i | ||||
\(96\) | 2.59578 | + | 9.44785i | 0.264931 | + | 0.964267i | ||||
\(97\) | −3.24710 | + | 5.62414i | −0.329693 | + | 0.571045i | −0.982451 | − | 0.186521i | \(-0.940279\pi\) |
0.652758 | + | 0.757567i | \(0.273612\pi\) | |||||||
\(98\) | −9.85882 | + | 5.34247i | −0.995891 | + | 0.539671i | ||||
\(99\) | −10.9353 | − | 6.01316i | −1.09904 | − | 0.604345i | ||||
\(100\) | 1.95067 | + | 1.27132i | 0.195067 | + | 0.127132i | ||||
\(101\) | −5.78490 | + | 1.55006i | −0.575619 | + | 0.154237i | −0.534872 | − | 0.844933i | \(-0.679640\pi\) |
−0.0407464 | + | 0.999170i | \(0.512974\pi\) | |||||||
\(102\) | 3.03376 | − | 1.19810i | 0.300387 | − | 0.118630i | ||||
\(103\) | 6.06520 | + | 10.5052i | 0.597622 | + | 1.03511i | 0.993171 | + | 0.116667i | \(0.0372211\pi\) |
−0.395549 | + | 0.918445i | \(0.629446\pi\) | |||||||
\(104\) | −8.75146 | − | 3.12324i | −0.858151 | − | 0.306259i | ||||
\(105\) | 15.4162 | + | 6.19816i | 1.50446 | + | 0.604879i | ||||
\(106\) | 4.71690 | − | 4.46884i | 0.458146 | − | 0.434052i | ||||
\(107\) | 3.78971 | − | 3.78971i | 0.366365 | − | 0.366365i | −0.499785 | − | 0.866150i | \(-0.666588\pi\) |
0.866150 | + | 0.499785i | \(0.166588\pi\) | |||||||
\(108\) | 4.19416 | − | 9.50837i | 0.403583 | − | 0.914943i | ||||
\(109\) | −6.42830 | − | 6.42830i | −0.615719 | − | 0.615719i | 0.328711 | − | 0.944430i | \(-0.393386\pi\) |
−0.944430 | + | 0.328711i | \(0.893386\pi\) | |||||||
\(110\) | 0.394280 | − | 14.6006i | 0.0375931 | − | 1.39211i | ||||
\(111\) | −0.00316476 | + | 0.00787146i | −0.000300386 | + | 0.000747126i | ||||
\(112\) | −9.12521 | + | 12.4738i | −0.862251 | + | 1.17866i | ||||
\(113\) | −8.09791 | + | 4.67533i | −0.761788 | + | 0.439818i | −0.829937 | − | 0.557857i | \(-0.811624\pi\) |
0.0681497 | + | 0.997675i | \(0.478290\pi\) | |||||||
\(114\) | −19.3547 | − | 8.39547i | −1.81273 | − | 0.786308i | ||||
\(115\) | 0.386925 | + | 1.44402i | 0.0360809 | + | 0.134656i | ||||
\(116\) | −0.116514 | − | 0.552598i | −0.0108181 | − | 0.0513074i | ||||
\(117\) | 5.10469 | + | 8.43076i | 0.471929 | + | 0.779424i | ||||
\(118\) | 2.25247 | − | 7.58145i | 0.207357 | − | 0.697930i | ||||
\(119\) | 4.45578 | + | 2.57254i | 0.408460 | + | 0.235825i | ||||
\(120\) | 12.1410 | − | 0.733332i | 1.10831 | − | 0.0669437i | ||||
\(121\) | −5.45967 | + | 3.15214i | −0.496333 | + | 0.286558i | ||||
\(122\) | 0.672055 | + | 2.80943i | 0.0608450 | + | 0.254354i | ||||
\(123\) | −1.70171 | − | 1.27782i | −0.153438 | − | 0.115217i | ||||
\(124\) | −12.0455 | + | 6.11268i | −1.08172 | + | 0.548935i | ||||
\(125\) | −6.73411 | + | 6.73411i | −0.602317 | + | 0.602317i | ||||
\(126\) | 15.8600 | − | 4.14523i | 1.41292 | − | 0.369286i | ||||
\(127\) | 10.4883i | 0.930687i | 0.885130 | + | 0.465343i | \(0.154069\pi\) | ||||
−0.885130 | + | 0.465343i | \(0.845931\pi\) | |||||||
\(128\) | −2.12541 | + | 11.1123i | −0.187861 | + | 0.982196i | ||||
\(129\) | −0.795461 | + | 0.623657i | −0.0700365 | + | 0.0549099i | ||||
\(130\) | −6.03511 | + | 9.83034i | −0.529314 | + | 0.862178i | ||||
\(131\) | 4.83728 | − | 18.0530i | 0.422635 | − | 1.57730i | −0.346399 | − | 0.938087i | \(-0.612596\pi\) |
0.769034 | − | 0.639208i | \(-0.220738\pi\) | |||||||
\(132\) | −8.26600 | − | 11.8036i | −0.719463 | − | 1.02737i | ||||
\(133\) | −8.61309 | − | 32.1445i | −0.746849 | − | 2.78728i | ||||
\(134\) | 4.12984 | − | 13.9004i | 0.356764 | − | 1.20081i | ||||
\(135\) | −10.4755 | − | 7.52978i | −0.901585 | − | 0.648061i | ||||
\(136\) | 3.75402 | + | 0.304716i | 0.321904 | + | 0.0261292i | ||||
\(137\) | 5.65739 | − | 9.79888i | 0.483343 | − | 0.837175i | −0.516474 | − | 0.856303i | \(-0.672756\pi\) |
0.999817 | + | 0.0191280i | \(0.00608901\pi\) | |||||||
\(138\) | 1.15509 | + | 0.917145i | 0.0983276 | + | 0.0780726i | ||||
\(139\) | 1.71664 | − | 6.40659i | 0.145603 | − | 0.543399i | −0.854124 | − | 0.520069i | \(-0.825906\pi\) |
0.999728 | − | 0.0233307i | \(-0.00742705\pi\) | |||||||
\(140\) | 12.8146 | + | 14.2789i | 1.08303 | + | 1.20679i | ||||
\(141\) | 0.520307 | − | 4.29777i | 0.0438178 | − | 0.361938i | ||||
\(142\) | 11.0983 | + | 0.299701i | 0.931346 | + | 0.0251503i | ||||
\(143\) | 13.6661 | 1.14282 | ||||||||
\(144\) | 9.19162 | − | 7.71454i | 0.765968 | − | 0.642879i | ||||
\(145\) | −0.701072 | −0.0582208 | ||||||||
\(146\) | 10.4876 | + | 0.283210i | 0.867959 | + | 0.0234386i | ||||
\(147\) | 10.9820 | + | 8.24639i | 0.905781 | + | 0.680151i | ||||
\(148\) | −0.00729078 | + | 0.00654309i | −0.000599298 | + | 0.000537838i | ||||
\(149\) | −5.88059 | + | 21.9467i | −0.481757 | + | 1.79794i | 0.112483 | + | 0.993654i | \(0.464120\pi\) |
−0.594240 | + | 0.804288i | \(0.702547\pi\) | |||||||
\(150\) | 0.419029 | − | 2.82071i | 0.0342136 | − | 0.230310i | ||||
\(151\) | 7.60398 | − | 13.1705i | 0.618803 | − | 1.07180i | −0.370902 | − | 0.928672i | \(-0.620951\pi\) |
0.989704 | − | 0.143126i | \(-0.0457154\pi\) | |||||||
\(152\) | −15.7756 | − | 18.5629i | −1.27957 | − | 1.50565i | ||||
\(153\) | −2.88303 | − | 2.76529i | −0.233079 | − | 0.223560i | ||||
\(154\) | 6.47361 | − | 21.7891i | 0.521658 | − | 1.75581i | ||||
\(155\) | 4.33996 | + | 16.1970i | 0.348594 | + | 1.30097i | ||||
\(156\) | 0.992543 | + | 11.3371i | 0.0794671 | + | 0.907691i | ||||
\(157\) | 3.05749 | − | 11.4107i | 0.244015 | − | 0.910675i | −0.729862 | − | 0.683595i | \(-0.760415\pi\) |
0.973876 | − | 0.227080i | \(-0.0729179\pi\) | |||||||
\(158\) | 0.717331 | − | 1.16843i | 0.0570678 | − | 0.0929554i | ||||
\(159\) | −7.38356 | − | 2.96860i | −0.585554 | − | 0.235425i | ||||
\(160\) | 12.9535 | + | 5.42769i | 1.02407 | + | 0.429097i | ||||
\(161\) | 2.32652i | 0.183356i | ||||||||
\(162\) | −12.7265 | + | 0.186954i | −0.999892 | + | 0.0146885i | ||||
\(163\) | −2.65630 | + | 2.65630i | −0.208057 | + | 0.208057i | −0.803441 | − | 0.595384i | \(-0.797000\pi\) |
0.595384 | + | 0.803441i | \(0.297000\pi\) | |||||||
\(164\) | −1.11200 | − | 2.19127i | −0.0868323 | − | 0.171109i | ||||
\(165\) | −16.4546 | + | 7.01752i | −1.28099 | + | 0.546313i | ||||
\(166\) | 0.217761 | + | 0.910320i | 0.0169015 | + | 0.0706545i | ||||
\(167\) | −9.93169 | + | 5.73407i | −0.768538 | + | 0.443715i | −0.832353 | − | 0.554246i | \(-0.813007\pi\) |
0.0638151 | + | 0.997962i | \(0.479673\pi\) | |||||||
\(168\) | 18.5458 | + | 3.78784i | 1.43084 | + | 0.292238i | ||||
\(169\) | 1.91146 | + | 1.10358i | 0.147035 | + | 0.0848909i | ||||
\(170\) | 1.33159 | − | 4.48190i | 0.102128 | − | 0.343746i | ||||
\(171\) | 0.538524 | + | 25.8329i | 0.0411819 | + | 1.97550i | ||||
\(172\) | −1.14206 | + | 0.240800i | −0.0870809 | + | 0.0183608i | ||||
\(173\) | −5.86908 | − | 21.9037i | −0.446218 | − | 1.66531i | −0.712701 | − | 0.701468i | \(-0.752528\pi\) |
0.266483 | − | 0.963840i | \(-0.414138\pi\) | |||||||
\(174\) | −0.555644 | + | 0.411910i | −0.0421233 | + | 0.0312268i | ||||
\(175\) | 3.89556 | − | 2.24910i | 0.294476 | − | 0.170016i | ||||
\(176\) | −2.54920 | − | 16.4429i | −0.192153 | − | 1.23943i | ||||
\(177\) | −9.58993 | + | 1.36436i | −0.720823 | + | 0.102551i | ||||
\(178\) | −0.428422 | + | 15.8650i | −0.0321116 | + | 1.18913i | ||||
\(179\) | 7.29427 | + | 7.29427i | 0.545199 | + | 0.545199i | 0.925048 | − | 0.379849i | \(-0.124024\pi\) |
−0.379849 | + | 0.925048i | \(0.624024\pi\) | |||||||
\(180\) | −7.01663 | − | 13.1407i | −0.522989 | − | 0.979449i | ||||
\(181\) | −2.73737 | + | 2.73737i | −0.203467 | + | 0.203467i | −0.801484 | − | 0.598016i | \(-0.795956\pi\) |
0.598016 | + | 0.801484i | \(0.295956\pi\) | |||||||
\(182\) | −13.0316 | + | 12.3463i | −0.965965 | + | 0.915167i | ||||
\(183\) | 2.78422 | − | 2.18288i | 0.205815 | − | 0.161363i | ||||
\(184\) | 0.729425 | + | 1.53898i | 0.0537739 | + | 0.113455i | ||||
\(185\) | 0.00608051 | + | 0.0105317i | 0.000447048 | + | 0.000774310i | ||||
\(186\) | 12.9561 | + | 10.2872i | 0.949988 | + | 0.754295i | ||||
\(187\) | −5.35054 | + | 1.43367i | −0.391271 | + | 0.104841i | ||||
\(188\) | 2.72944 | − | 4.18795i | 0.199065 | − | 0.305438i | ||||
\(189\) | −12.7140 | − | 15.5383i | −0.924807 | − | 1.13024i | ||||
\(190\) | −26.5883 | + | 14.4081i | −1.92892 | + | 1.04528i | ||||
\(191\) | −2.98376 | + | 5.16802i | −0.215897 | + | 0.373945i | −0.953550 | − | 0.301236i | \(-0.902601\pi\) |
0.737653 | + | 0.675180i | \(0.235934\pi\) | |||||||
\(192\) | 13.4555 | − | 3.30897i | 0.971068 | − | 0.238804i | ||||
\(193\) | 1.79816 | + | 3.11450i | 0.129434 | + | 0.224187i | 0.923458 | − | 0.383701i | \(-0.125351\pi\) |
−0.794023 | + | 0.607887i | \(0.792017\pi\) | |||||||
\(194\) | 7.82688 | + | 4.80513i | 0.561937 | + | 0.344988i | ||||
\(195\) | 14.0251 | + | 1.69794i | 1.00436 | + | 0.121592i | ||||
\(196\) | 7.17627 | + | 14.1414i | 0.512591 | + | 1.01010i | ||||
\(197\) | 9.60375 | + | 9.60375i | 0.684239 | + | 0.684239i | 0.960952 | − | 0.276713i | \(-0.0892453\pi\) |
−0.276713 | + | 0.960952i | \(0.589245\pi\) | |||||||
\(198\) | −8.91825 | + | 15.2296i | −0.633793 | + | 1.08232i | ||||
\(199\) | 11.8548 | 0.840363 | 0.420182 | − | 0.907440i | \(-0.361966\pi\) | ||||
0.420182 | + | 0.907440i | \(0.361966\pi\) | |||||||
\(200\) | 1.87173 | − | 2.70912i | 0.132351 | − | 0.191564i | ||||
\(201\) | −17.5828 | + | 2.50151i | −1.24020 | + | 0.176443i | ||||
\(202\) | 1.97047 | + | 8.23727i | 0.138642 | + | 0.579572i | ||||
\(203\) | −1.05386 | − | 0.282381i | −0.0739666 | − | 0.0198193i | ||||
\(204\) | −1.57794 | − | 4.33455i | −0.110478 | − | 0.303479i | ||||
\(205\) | −2.94649 | + | 0.789510i | −0.205792 | + | 0.0551417i | ||||
\(206\) | 15.0828 | − | 8.17332i | 1.05087 | − | 0.569462i | ||||
\(207\) | 0.431063 | − | 1.75421i | 0.0299609 | − | 0.121926i | ||||
\(208\) | −4.74941 | + | 12.2527i | −0.329312 | + | 0.849571i | ||||
\(209\) | 31.0280 | + | 17.9141i | 2.14626 | + | 1.23914i | ||||
\(210\) | 9.35086 | − | 21.5572i | 0.645271 | − | 1.48759i | ||||
\(211\) | −15.8165 | − | 4.23802i | −1.08885 | − | 0.291757i | −0.330635 | − | 0.943759i | \(-0.607263\pi\) |
−0.758218 | + | 0.652001i | \(0.773930\pi\) | |||||||
\(212\) | −6.13752 | − | 6.83887i | −0.421527 | − | 0.469696i | ||||
\(213\) | −5.33418 | − | 12.5075i | −0.365492 | − | 0.857003i | ||||
\(214\) | −5.21283 | − | 5.50218i | −0.356342 | − | 0.376121i | ||||
\(215\) | 1.44891i | 0.0988146i | ||||||||
\(216\) | −13.2818 | − | 6.29226i | −0.903715 | − | 0.428134i | ||||
\(217\) | 26.0956i | 1.77149i | ||||||||
\(218\) | −9.33308 | + | 8.84226i | −0.632116 | + | 0.598874i | ||||
\(219\) | −5.04066 | − | 11.8193i | −0.340616 | − | 0.798675i | ||||
\(220\) | −20.6258 | − | 1.11478i | −1.39059 | − | 0.0751588i | ||||
\(221\) | 4.22561 | + | 1.13225i | 0.284245 | + | 0.0761632i | ||||
\(222\) | 0.0110070 | + | 0.00477452i | 0.000738744 | + | 0.000320445i | ||||
\(223\) | −15.9088 | − | 9.18497i | −1.06533 | − | 0.615071i | −0.138431 | − | 0.990372i | \(-0.544206\pi\) |
−0.926903 | + | 0.375301i | \(0.877539\pi\) | |||||||
\(224\) | 17.2858 | + | 13.3765i | 1.15495 | + | 0.893754i | ||||
\(225\) | −3.35399 | + | 0.974058i | −0.223599 | + | 0.0649372i | ||||
\(226\) | 6.30036 | + | 11.6265i | 0.419094 | + | 0.773383i | ||||
\(227\) | 5.38000 | − | 1.44157i | 0.357083 | − | 0.0956802i | −0.0758175 | − | 0.997122i | \(-0.524157\pi\) |
0.432901 | + | 0.901441i | \(0.357490\pi\) | |||||||
\(228\) | −12.6075 | + | 27.0412i | −0.834955 | + | 1.79085i | ||||
\(229\) | 25.8093 | + | 6.91557i | 1.70552 | + | 0.456994i | 0.974321 | − | 0.225165i | \(-0.0722923\pi\) |
0.731204 | + | 0.682159i | \(0.238959\pi\) | |||||||
\(230\) | 2.05618 | − | 0.491868i | 0.135581 | − | 0.0324328i | ||||
\(231\) | −27.5614 | + | 3.92116i | −1.81341 | + | 0.257993i | ||||
\(232\) | −0.785655 | + | 0.143620i | −0.0515808 | + | 0.00942909i | ||||
\(233\) | −16.7979 | −1.10047 | −0.550233 | − | 0.835011i | \(-0.685461\pi\) | ||||
−0.550233 | + | 0.835011i | \(0.685461\pi\) | |||||||
\(234\) | 12.1134 | − | 6.89464i | 0.791879 | − | 0.450717i | ||||
\(235\) | −4.38799 | − | 4.38799i | −0.286241 | − | 0.286241i | ||||
\(236\) | −10.6319 | − | 3.47375i | −0.692078 | − | 0.226122i | ||||
\(237\) | −1.66702 | − | 0.201817i | −0.108285 | − | 0.0131094i | ||||
\(238\) | 3.80690 | − | 6.20092i | 0.246765 | − | 0.401946i | ||||
\(239\) | 7.79074 | + | 13.4940i | 0.503941 | + | 0.872851i | 0.999990 | + | 0.00455666i | \(0.00145043\pi\) |
−0.496049 | + | 0.868295i | \(0.665216\pi\) | |||||||
\(240\) | −0.573218 | − | 17.1916i | −0.0370010 | − | 1.10972i | ||||
\(241\) | 7.24520 | − | 12.5490i | 0.466704 | − | 0.808355i | −0.532573 | − | 0.846384i | \(-0.678775\pi\) |
0.999277 | + | 0.0380291i | \(0.0121080\pi\) | |||||||
\(242\) | 4.24775 | + | 7.83866i | 0.273056 | + | 0.503888i | ||||
\(243\) | 6.70747 | + | 14.0716i | 0.430284 | + | 0.902694i | ||||
\(244\) | 3.99734 | − | 0.842830i | 0.255904 | − | 0.0539567i | ||||
\(245\) | 19.0152 | − | 5.09510i | 1.21484 | − | 0.325514i | ||||
\(246\) | −1.87141 | + | 2.35693i | −0.119317 | + | 0.150272i | ||||
\(247\) | −14.1477 | − | 24.5045i | −0.900195 | − | 1.55918i | ||||
\(248\) | 8.18164 | + | 17.2620i | 0.519535 | + | 1.09614i | ||||
\(249\) | 0.902150 | − | 0.707303i | 0.0571715 | − | 0.0448235i | ||||
\(250\) | 9.26292 | + | 9.77708i | 0.585838 | + | 0.618357i | ||||
\(251\) | 19.7766 | − | 19.7766i | 1.24829 | − | 1.24829i | 0.291815 | − | 0.956475i | \(-0.405741\pi\) |
0.956475 | − | 0.291815i | \(-0.0942590\pi\) | |||||||
\(252\) | −5.25463 | − | 22.5795i | −0.331011 | − | 1.42237i | ||||
\(253\) | −1.77114 | − | 1.77114i | −0.111351 | − | 0.111351i | ||||
\(254\) | 14.8273 | + | 0.400401i | 0.930348 | + | 0.0251234i | ||||
\(255\) | −5.66924 | + | 0.806561i | −0.355021 | + | 0.0505088i | ||||
\(256\) | 15.6283 | + | 3.42891i | 0.976766 | + | 0.214307i | ||||
\(257\) | 17.3273 | − | 10.0039i | 1.08085 | − | 0.624028i | 0.149723 | − | 0.988728i | \(-0.452162\pi\) |
0.931125 | + | 0.364700i | \(0.118828\pi\) | |||||||
\(258\) | 0.851295 | + | 1.14835i | 0.0529993 | + | 0.0714932i | ||||
\(259\) | 0.00489828 | + | 0.0182806i | 0.000304364 | + | 0.00113590i | ||||
\(260\) | 13.6667 | + | 8.90710i | 0.847575 | + | 0.552395i | ||||
\(261\) | 0.742297 | + | 0.408179i | 0.0459470 | + | 0.0252656i | ||||
\(262\) | −25.3368 | − | 7.52764i | −1.56531 | − | 0.465059i | ||||
\(263\) | −5.23357 | − | 3.02160i | −0.322716 | − | 0.186320i | 0.329887 | − | 0.944021i | \(-0.392989\pi\) |
−0.652602 | + | 0.757700i | \(0.726323\pi\) | |||||||
\(264\) | −17.0023 | + | 11.2350i | −1.04642 | + | 0.691468i | ||||
\(265\) | −9.87896 | + | 5.70362i | −0.606859 | + | 0.350370i | ||||
\(266\) | −45.7714 | + | 10.9492i | −2.80642 | + | 0.671336i | ||||
\(267\) | 17.8795 | − | 7.62520i | 1.09421 | − | 0.466655i | ||||
\(268\) | −19.4933 | − | 6.36901i | −1.19074 | − | 0.389049i | ||||
\(269\) | 16.3593 | − | 16.3593i | 0.997443 | − | 0.997443i | −0.00255337 | − | 0.999997i | \(-0.500813\pi\) |
0.999997 | + | 0.00255337i | \(0.000812765\pi\) | |||||||
\(270\) | −11.0448 | + | 14.5217i | −0.672162 | + | 0.883762i | ||||
\(271\) | 12.7820i | 0.776454i | 0.921564 | + | 0.388227i | \(0.126912\pi\) | ||||
−0.921564 | + | 0.388227i | \(0.873088\pi\) | |||||||
\(272\) | 0.574090 | − | 5.29542i | 0.0348093 | − | 0.321082i | ||||
\(273\) | 20.3989 | + | 8.20149i | 1.23460 | + | 0.496377i | ||||
\(274\) | −13.6367 | − | 8.37192i | −0.823822 | − | 0.505766i | ||||
\(275\) | −1.25342 | + | 4.67783i | −0.0755841 | + | 0.282084i | ||||
\(276\) | 1.34066 | − | 1.59793i | 0.0806984 | − | 0.0961842i | ||||
\(277\) | 2.96015 | + | 11.0474i | 0.177858 | + | 0.663776i | 0.996047 | + | 0.0888264i | \(0.0283116\pi\) |
−0.818189 | + | 0.574949i | \(0.805022\pi\) | |||||||
\(278\) | −8.99144 | − | 2.67139i | −0.539271 | − | 0.160219i | ||||
\(279\) | 4.83504 | − | 19.6762i | 0.289466 | − | 1.17798i | ||||
\(280\) | 20.6753 | − | 17.5708i | 1.23559 | − | 1.05006i | ||||
\(281\) | −3.53089 | + | 6.11568i | −0.210635 | + | 0.364831i | −0.951914 | − | 0.306367i | \(-0.900887\pi\) |
0.741278 | + | 0.671198i | \(0.234220\pi\) | |||||||
\(282\) | −6.05589 | − | 0.899629i | −0.360623 | − | 0.0535721i | ||||
\(283\) | −7.56336 | + | 28.2269i | −0.449595 | + | 1.67791i | 0.253915 | + | 0.967227i | \(0.418282\pi\) |
−0.703510 | + | 0.710686i | \(0.748385\pi\) | |||||||
\(284\) | 0.847373 | − | 15.6782i | 0.0502823 | − | 0.930328i | ||||
\(285\) | 29.6175 | + | 22.2398i | 1.75439 | + | 1.31737i | ||||
\(286\) | 0.521716 | − | 19.3197i | 0.0308497 | − | 1.14240i | ||||
\(287\) | −4.74721 | −0.280219 | ||||||||
\(288\) | −10.5551 | − | 13.2887i | −0.621968 | − | 0.783043i | ||||
\(289\) | 15.2268 | 0.895695 | ||||||||
\(290\) | −0.0267641 | + | 0.991104i | −0.00157164 | + | 0.0581996i | ||||
\(291\) | 1.35190 | − | 11.1668i | 0.0792495 | − | 0.654607i | ||||
\(292\) | 0.800746 | − | 14.8155i | 0.0468601 | − | 0.867010i | ||||
\(293\) | 6.43469 | − | 24.0146i | 0.375919 | − | 1.40295i | −0.476080 | − | 0.879402i | \(-0.657943\pi\) |
0.851998 | − | 0.523545i | \(-0.175391\pi\) | |||||||
\(294\) | 12.0772 | − | 15.2104i | 0.704354 | − | 0.887091i | ||||
\(295\) | −6.94247 | + | 12.0247i | −0.404206 | + | 0.700106i | ||||
\(296\) | 0.00897162 | + | 0.0105567i | 0.000521465 | + | 0.000613598i | ||||
\(297\) | 21.5080 | + | 2.15006i | 1.24802 | + | 0.124759i | ||||
\(298\) | 30.8015 | + | 9.15122i | 1.78428 | + | 0.530116i | ||||
\(299\) | 0.511984 | + | 1.91075i | 0.0296088 | + | 0.110501i | ||||
\(300\) | −3.97164 | − | 0.700064i | −0.229303 | − | 0.0404182i | ||||
\(301\) | −0.583598 | + | 2.17802i | −0.0336381 | + | 0.125539i | ||||
\(302\) | −18.3288 | − | 11.2525i | −1.05470 | − | 0.647510i | ||||
\(303\) | 8.16335 | − | 6.40022i | 0.468972 | − | 0.367683i | ||||
\(304\) | −26.8446 | + | 21.5933i | −1.53964 | + | 1.23846i | ||||
\(305\) | − | 5.07136i | − | 0.290385i | ||||||
\(306\) | −4.01934 | + | 3.97017i | −0.229771 | + | 0.226960i | ||||
\(307\) | 13.0736 | − | 13.0736i | 0.746147 | − | 0.746147i | −0.227606 | − | 0.973753i | \(-0.573090\pi\) |
0.973753 | + | 0.227606i | \(0.0730898\pi\) | |||||||
\(308\) | −30.5560 | − | 9.98354i | −1.74109 | − | 0.568865i | ||||
\(309\) | −16.8011 | − | 12.6160i | −0.955783 | − | 0.717697i | ||||
\(310\) | 23.0633 | − | 5.51707i | 1.30991 | − | 0.313348i | ||||
\(311\) | −24.9978 | + | 14.4325i | −1.41749 | + | 0.818390i | −0.996078 | − | 0.0884785i | \(-0.971800\pi\) |
−0.421414 | + | 0.906868i | \(0.638466\pi\) | |||||||
\(312\) | 16.0651 | − | 0.970354i | 0.909506 | − | 0.0549355i | ||||
\(313\) | 17.2743 | + | 9.97334i | 0.976403 | + | 0.563727i | 0.901182 | − | 0.433440i | \(-0.142700\pi\) |
0.0752210 | + | 0.997167i | \(0.476034\pi\) | |||||||
\(314\) | −16.0146 | − | 4.75799i | −0.903756 | − | 0.268509i | ||||
\(315\) | −28.7727 | + | 0.599807i | −1.62116 | + | 0.0337953i | ||||
\(316\) | −1.62442 | − | 1.05869i | −0.0913810 | − | 0.0595562i | ||||
\(317\) | 3.28240 | + | 12.2501i | 0.184358 | + | 0.688034i | 0.994767 | + | 0.102169i | \(0.0325783\pi\) |
−0.810409 | + | 0.585865i | \(0.800755\pi\) | |||||||
\(318\) | −4.47858 | + | 10.3248i | −0.251146 | + | 0.578986i | ||||
\(319\) | 1.01726 | − | 0.587315i | 0.0569556 | − | 0.0328833i | ||||
\(320\) | 8.16763 | − | 18.1052i | 0.456584 | − | 1.01211i | ||||
\(321\) | −3.46282 | + | 8.61279i | −0.193276 | + | 0.480719i | ||||
\(322\) | 3.28900 | + | 0.0888172i | 0.183289 | + | 0.00494959i | ||||
\(323\) | 8.10979 | + | 8.10979i | 0.451241 | + | 0.451241i | ||||
\(324\) | −0.221551 | + | 17.9986i | −0.0123084 | + | 0.999924i | ||||
\(325\) | 2.70443 | − | 2.70443i | 0.150015 | − | 0.150015i | ||||
\(326\) | 3.65380 | + | 3.85661i | 0.202365 | + | 0.213598i | ||||
\(327\) | 14.6095 | + | 5.87382i | 0.807905 | + | 0.324823i | ||||
\(328\) | −3.14024 | + | 1.48837i | −0.173391 | + | 0.0821816i | ||||
\(329\) | −4.82867 | − | 8.36351i | −0.266213 | − | 0.461095i | ||||
\(330\) | 9.29248 | + | 23.5298i | 0.511534 | + | 1.29527i | ||||
\(331\) | 26.0714 | − | 6.98582i | 1.43302 | − | 0.383975i | 0.542934 | − | 0.839776i | \(-0.317313\pi\) |
0.890082 | + | 0.455800i | \(0.150647\pi\) | |||||||
\(332\) | 1.29523 | − | 0.273096i | 0.0710850 | − | 0.0149881i | ||||
\(333\) | −0.000306260 | − | 0.0146913i | −1.67829e−5 | − | 0.000805076i | ||||
\(334\) | 7.72709 | + | 14.2593i | 0.422807 | + | 0.780235i | ||||
\(335\) | −12.7288 | + | 22.0469i | −0.695449 | + | 1.20455i | ||||
\(336\) | 6.06287 | − | 26.0736i | 0.330757 | − | 1.42243i | ||||
\(337\) | −1.19472 | − | 2.06931i | −0.0650805 | − | 0.112723i | 0.831649 | − | 0.555301i | \(-0.187397\pi\) |
−0.896730 | + | 0.442579i | \(0.854064\pi\) | |||||||
\(338\) | 1.63310 | − | 2.66010i | 0.0888291 | − | 0.144690i | ||||
\(339\) | 9.72495 | − | 12.9511i | 0.528187 | − | 0.703405i | ||||
\(340\) | −6.28522 | − | 2.05356i | −0.340864 | − | 0.111370i | ||||
\(341\) | −19.8662 | − | 19.8662i | −1.07581 | − | 1.07581i | ||||
\(342\) | 36.5406 | + | 0.224886i | 1.97589 | + | 0.0121605i | ||||
\(343\) | 3.58951 | 0.193815 | ||||||||
\(344\) | 0.296819 | + | 1.62371i | 0.0160034 | + | 0.0875448i | ||||
\(345\) | −1.59762 | − | 2.03773i | −0.0860129 | − | 0.109708i | ||||
\(346\) | −31.1893 | + | 7.46091i | −1.67675 | + | 0.401101i | ||||
\(347\) | −30.9839 | − | 8.30210i | −1.66330 | − | 0.445680i | −0.700009 | − | 0.714134i | \(-0.746821\pi\) |
−0.963292 | + | 0.268454i | \(0.913487\pi\) | |||||||
\(348\) | 0.561104 | + | 0.801238i | 0.0300783 | + | 0.0429509i | ||||
\(349\) | −4.24471 | + | 1.13737i | −0.227214 | + | 0.0608818i | −0.370630 | − | 0.928781i | \(-0.620858\pi\) |
0.143416 | + | 0.989663i | \(0.454191\pi\) | |||||||
\(350\) | −3.03083 | − | 5.59300i | −0.162005 | − | 0.298959i | ||||
\(351\) | −13.8613 | − | 9.96351i | −0.739860 | − | 0.531813i | ||||
\(352\) | −23.3427 | + | 2.97607i | −1.24417 | + | 0.158625i | ||||
\(353\) | −30.3229 | − | 17.5069i | −1.61393 | − | 0.931800i | −0.988448 | − | 0.151558i | \(-0.951571\pi\) |
−0.625477 | − | 0.780243i | \(-0.715096\pi\) | |||||||
\(354\) | 1.56268 | + | 13.6093i | 0.0830557 | + | 0.723329i | ||||
\(355\) | −18.8270 | − | 5.04467i | −0.999231 | − | 0.267743i | ||||
\(356\) | 22.4119 | + | 1.21132i | 1.18783 | + | 0.0641998i | ||||
\(357\) | −8.84696 | − | 1.07105i | −0.468231 | − | 0.0566860i | ||||
\(358\) | 10.5904 | − | 10.0334i | 0.559718 | − | 0.530283i | ||||
\(359\) | 3.80659i | 0.200904i | 0.994942 | + | 0.100452i | \(0.0320289\pi\) | ||||
−0.994942 | + | 0.100452i | \(0.967971\pi\) | |||||||
\(360\) | −18.8448 | + | 9.41774i | −0.993210 | + | 0.496358i | ||||
\(361\) | − | 55.1813i | − | 2.90428i | ||||||
\(362\) | 3.76532 | + | 3.97432i | 0.197901 | + | 0.208886i | ||||
\(363\) | 6.55663 | − | 8.73169i | 0.344134 | − | 0.458295i | ||||
\(364\) | 16.9564 | + | 18.8941i | 0.888757 | + | 0.990318i | ||||
\(365\) | −17.7910 | − | 4.76709i | −0.931224 | − | 0.249521i | ||||
\(366\) | −2.97964 | − | 4.01938i | −0.155748 | − | 0.210096i | ||||
\(367\) | −5.70033 | − | 3.29109i | −0.297555 | − | 0.171793i | 0.343789 | − | 0.939047i | \(-0.388289\pi\) |
−0.641344 | + | 0.767253i | \(0.721623\pi\) | |||||||
\(368\) | 2.20349 | − | 0.972435i | 0.114865 | − | 0.0506917i | ||||
\(369\) | 3.57942 | + | 0.879572i | 0.186337 | + | 0.0457887i | ||||
\(370\) | 0.0151208 | − | 0.00819394i | 0.000786095 | − | 0.000425983i | ||||
\(371\) | −17.1475 | + | 4.59467i | −0.890256 | + | 0.238543i | ||||
\(372\) | 15.0376 | − | 17.9233i | 0.779665 | − | 0.929280i | ||||
\(373\) | 8.46055 | + | 2.26700i | 0.438071 | + | 0.117381i | 0.471112 | − | 0.882073i | \(-0.343853\pi\) |
−0.0330416 | + | 0.999454i | \(0.510519\pi\) | |||||||
\(374\) | 1.82252 | + | 7.61879i | 0.0942403 | + | 0.393958i | ||||
\(375\) | 6.15325 | − | 15.3045i | 0.317753 | − | 0.790320i | ||||
\(376\) | −5.81630 | − | 4.01848i | −0.299953 | − | 0.207237i | ||||
\(377\) | −0.927667 | −0.0477773 | ||||||||
\(378\) | −22.4518 | + | 17.3806i | −1.15479 | + | 0.893960i | ||||
\(379\) | −17.4765 | − | 17.4765i | −0.897706 | − | 0.897706i | 0.0975266 | − | 0.995233i | \(-0.468907\pi\) |
−0.995233 | + | 0.0975266i | \(0.968907\pi\) | |||||||
\(380\) | 19.3537 | + | 38.1379i | 0.992826 | + | 1.95643i | ||||
\(381\) | −7.12647 | − | 16.7101i | −0.365100 | − | 0.856084i | ||||
\(382\) | 7.19211 | + | 4.41543i | 0.367980 | + | 0.225913i | ||||
\(383\) | 4.06922 | + | 7.04809i | 0.207927 | + | 0.360140i | 0.951061 | − | 0.309002i | \(-0.0999950\pi\) |
−0.743134 | + | 0.669142i | \(0.766662\pi\) | |||||||
\(384\) | −4.16421 | − | 19.1484i | −0.212504 | − | 0.977160i | ||||
\(385\) | −19.9526 | + | 34.5590i | −1.01688 | + | 1.76129i | ||||
\(386\) | 4.47161 | − | 2.42315i | 0.227599 | − | 0.123335i | ||||
\(387\) | 0.843584 | − | 1.53411i | 0.0428818 | − | 0.0779831i | ||||
\(388\) | 7.09180 | − | 10.8814i | 0.360031 | − | 0.552420i | ||||
\(389\) | 8.98924 | − | 2.40866i | 0.455772 | − | 0.122124i | −0.0236267 | − | 0.999721i | \(-0.507521\pi\) |
0.479399 | + | 0.877597i | \(0.340855\pi\) | |||||||
\(390\) | 2.93580 | − | 19.7625i | 0.148660 | − | 1.00071i | ||||
\(391\) | −0.400903 | − | 0.694385i | −0.0202745 | − | 0.0351165i | ||||
\(392\) | 20.2656 | − | 9.60522i | 1.02357 | − | 0.485137i | ||||
\(393\) | 4.55960 | + | 32.0490i | 0.230001 | + | 1.61666i | ||||
\(394\) | 13.9434 | − | 13.2102i | 0.702460 | − | 0.665519i | ||||
\(395\) | −1.70201 | + | 1.70201i | −0.0856376 | + | 0.0856376i | ||||
\(396\) | 21.1896 | + | 13.1891i | 1.06482 | + | 0.662778i | ||||
\(397\) | 7.15374 | + | 7.15374i | 0.359036 | + | 0.359036i | 0.863458 | − | 0.504422i | \(-0.168294\pi\) |
−0.504422 | + | 0.863458i | \(0.668294\pi\) | |||||||
\(398\) | 0.452567 | − | 16.7591i | 0.0226851 | − | 0.840057i | ||||
\(399\) | 35.5636 | + | 45.3606i | 1.78041 | + | 2.27087i | ||||
\(400\) | −3.75842 | − | 2.74948i | −0.187921 | − | 0.137474i | ||||
\(401\) | −3.93575 | + | 2.27231i | −0.196542 | + | 0.113474i | −0.595041 | − | 0.803695i | \(-0.702864\pi\) |
0.398500 | + | 0.917169i | \(0.369531\pi\) | |||||||
\(402\) | 2.86513 | + | 24.9523i | 0.142900 | + | 1.24451i | ||||
\(403\) | 5.74270 | + | 21.4320i | 0.286064 | + | 1.06761i | ||||
\(404\) | 11.7202 | − | 2.47119i | 0.583104 | − | 0.122946i | ||||
\(405\) | 21.8059 | + | 4.87880i | 1.08354 | + | 0.242429i | ||||
\(406\) | −0.439434 | + | 1.47906i | −0.0218088 | + | 0.0734046i | ||||
\(407\) | −0.0176457 | − | 0.0101878i | −0.000874666 | − | 0.000504988i | ||||
\(408\) | −6.18799 | + | 2.06526i | −0.306351 | + | 0.102245i | ||||
\(409\) | −3.62043 | + | 2.09026i | −0.179019 | + | 0.103356i | −0.586832 | − | 0.809709i | \(-0.699625\pi\) |
0.407813 | + | 0.913066i | \(0.366292\pi\) | |||||||
\(410\) | 1.00364 | + | 4.19559i | 0.0495664 | + | 0.207205i | ||||
\(411\) | −2.35539 | + | 19.4557i | −0.116183 | + | 0.959679i | ||||
\(412\) | −10.9788 | − | 21.6345i | −0.540887 | − | 1.06586i | ||||
\(413\) | −15.2794 | + | 15.2794i | −0.751850 | + | 0.751850i | ||||
\(414\) | −2.46347 | − | 0.676361i | −0.121073 | − | 0.0332413i | ||||
\(415\) | − | 1.64324i | − | 0.0806634i | ||||||
\(416\) | 17.1403 | + | 7.18199i | 0.840372 | + | 0.352126i | ||||
\(417\) | 1.61810 | + | 11.3734i | 0.0792386 | + | 0.556960i | ||||
\(418\) | 26.5096 | − | 43.1804i | 1.29663 | − | 2.11202i | ||||
\(419\) | −1.68551 | + | 6.29040i | −0.0823425 | + | 0.307306i | −0.994798 | − | 0.101870i | \(-0.967517\pi\) |
0.912455 | + | 0.409177i | \(0.134184\pi\) | |||||||
\(420\) | −30.1184 | − | 14.0423i | −1.46963 | − | 0.685192i | ||||
\(421\) | 5.43340 | + | 20.2777i | 0.264808 | + | 0.988275i | 0.962368 | + | 0.271749i | \(0.0876022\pi\) |
−0.697560 | + | 0.716526i | \(0.745731\pi\) | |||||||
\(422\) | −6.59509 | + | 22.1980i | −0.321044 | + | 1.08058i | ||||
\(423\) | 2.09124 | + | 7.20080i | 0.101680 | + | 0.350115i | ||||
\(424\) | −9.90241 | + | 8.41553i | −0.480903 | + | 0.408694i | ||||
\(425\) | −0.775124 | + | 1.34255i | −0.0375990 | + | 0.0651234i | ||||
\(426\) | −17.8855 | + | 7.06343i | −0.866557 | + | 0.342224i | ||||
\(427\) | 2.04267 | − | 7.62335i | 0.0988517 | − | 0.368920i | ||||
\(428\) | −7.97743 | + | 7.15931i | −0.385603 | + | 0.346059i | ||||
\(429\) | −21.7730 | + | 9.28567i | −1.05121 | + | 0.448317i | ||||
\(430\) | 2.04832 | + | 0.0553133i | 0.0987786 | + | 0.00266745i | ||||
\(431\) | −0.0435385 | −0.00209718 | −0.00104859 | − | 0.999999i | \(-0.500334\pi\) | ||||
−0.00104859 | + | 0.999999i | \(0.500334\pi\) | |||||||
\(432\) | −9.40241 | + | 18.5363i | −0.452374 | + | 0.891829i | ||||
\(433\) | 2.44457 | 0.117479 | 0.0587393 | − | 0.998273i | \(-0.481292\pi\) | ||||
0.0587393 | + | 0.998273i | \(0.481292\pi\) | |||||||
\(434\) | 36.8913 | + | 0.996224i | 1.77084 | + | 0.0478203i | ||||
\(435\) | 1.11696 | − | 0.476356i | 0.0535539 | − | 0.0228395i | ||||
\(436\) | 12.1440 | + | 13.5317i | 0.581592 | + | 0.648052i | ||||
\(437\) | −1.34226 | + | 5.00937i | −0.0642088 | + | 0.239631i | ||||
\(438\) | −16.9014 | + | 6.67476i | −0.807579 | + | 0.318932i | ||||
\(439\) | −8.44077 | + | 14.6199i | −0.402856 | + | 0.697767i | −0.994069 | − | 0.108748i | \(-0.965316\pi\) |
0.591213 | + | 0.806515i | \(0.298649\pi\) | |||||||
\(440\) | −2.36338 | + | 29.1161i | −0.112670 | + | 1.38806i | ||||
\(441\) | −23.0998 | − | 5.67632i | −1.09999 | − | 0.270301i | ||||
\(442\) | 1.76197 | − | 5.93051i | 0.0838085 | − | 0.282085i | ||||
\(443\) | −1.95722 | − | 7.30446i | −0.0929905 | − | 0.347045i | 0.903717 | − | 0.428131i | \(-0.140828\pi\) |
−0.996707 | + | 0.0810858i | \(0.974161\pi\) | |||||||
\(444\) | 0.00716994 | − | 0.0153784i | 0.000340270 | − | 0.000729825i | ||||
\(445\) | 7.21135 | − | 26.9131i | 0.341851 | − | 1.27580i | ||||
\(446\) | −13.5921 | + | 22.1396i | −0.643605 | + | 1.04834i | ||||
\(447\) | −5.54303 | − | 38.9614i | −0.262176 | − | 1.84281i | ||||
\(448\) | 19.5702 | − | 23.9262i | 0.924606 | − | 1.13041i | ||||
\(449\) | − | 1.51444i | − | 0.0714709i | −0.999361 | − | 0.0357355i | \(-0.988623\pi\) | ||
0.999361 | − | 0.0357355i | \(-0.0113774\pi\) | |||||||
\(450\) | 1.24898 | + | 4.77871i | 0.0588776 | + | 0.225271i | ||||
\(451\) | 3.61397 | − | 3.61397i | 0.170175 | − | 0.170175i | ||||
\(452\) | 16.6769 | − | 8.46296i | 0.784414 | − | 0.398064i | ||||
\(453\) | −3.16583 | + | 26.1500i | −0.148744 | + | 1.22863i | ||||
\(454\) | −1.83256 | − | 7.66074i | −0.0860061 | − | 0.359536i | ||||
\(455\) | 27.2930 | − | 15.7576i | 1.27952 | − | 0.738730i | ||||
\(456\) | 37.7467 | + | 18.8556i | 1.76765 | + | 0.882994i | ||||
\(457\) | 28.8273 | + | 16.6435i | 1.34848 | + | 0.778548i | 0.988035 | − | 0.154230i | \(-0.0492898\pi\) |
0.360450 | + | 0.932779i | \(0.382623\pi\) | |||||||
\(458\) | 10.7618 | − | 36.2225i | 0.502867 | − | 1.69257i | ||||
\(459\) | 6.47221 | + | 2.44676i | 0.302097 | + | 0.114205i | ||||
\(460\) | −0.616856 | − | 2.92560i | −0.0287611 | − | 0.136407i | ||||
\(461\) | 4.54777 | + | 16.9725i | 0.211811 | + | 0.790488i | 0.987265 | + | 0.159084i | \(0.0508542\pi\) |
−0.775454 | + | 0.631404i | \(0.782479\pi\) | |||||||
\(462\) | 4.49115 | + | 39.1132i | 0.208947 | + | 1.81971i | ||||
\(463\) | −9.07067 | + | 5.23695i | −0.421550 | + | 0.243382i | −0.695740 | − | 0.718294i | \(-0.744923\pi\) |
0.274190 | + | 0.961675i | \(0.411590\pi\) | |||||||
\(464\) | 0.173042 | + | 1.11616i | 0.00803326 | + | 0.0518165i | ||||
\(465\) | −17.9198 | − | 22.8563i | −0.831011 | − | 1.05994i | ||||
\(466\) | −0.641275 | + | 23.7472i | −0.0297065 | + | 1.10007i | ||||
\(467\) | −2.14028 | − | 2.14028i | −0.0990405 | − | 0.0990405i | 0.655850 | − | 0.754891i | \(-0.272310\pi\) |
−0.754891 | + | 0.655850i | \(0.772310\pi\) | |||||||
\(468\) | −9.28450 | − | 17.3879i | −0.429176 | − | 0.803757i | ||||
\(469\) | −28.0143 | + | 28.0143i | −1.29358 | + | 1.29358i | ||||
\(470\) | −6.37081 | + | 6.03578i | −0.293863 | + | 0.278410i | ||||
\(471\) | 2.88198 | + | 20.2572i | 0.132795 | + | 0.933401i | ||||
\(472\) | −5.31671 | + | 14.8977i | −0.244722 | + | 0.685721i | ||||
\(473\) | −1.21381 | − | 2.10237i | −0.0558109 | − | 0.0966672i | ||||
\(474\) | −0.348948 | + | 2.34896i | −0.0160277 | + | 0.107891i | ||||
\(475\) | 9.68533 | − | 2.59518i | 0.444393 | − | 0.119075i | ||||
\(476\) | −8.62089 | − | 5.61854i | −0.395138 | − | 0.257525i | ||||
\(477\) | 13.7806 | − | 0.287277i | 0.630972 | − | 0.0131535i | ||||
\(478\) | 19.3738 | − | 10.4986i | 0.886137 | − | 0.480195i | ||||
\(479\) | 8.05687 | − | 13.9549i | 0.368128 | − | 0.637616i | −0.621145 | − | 0.783696i | \(-0.713332\pi\) |
0.989273 | + | 0.146080i | \(0.0466656\pi\) | |||||||
\(480\) | −24.3257 | + | 0.154050i | −1.11031 | + | 0.00703139i | ||||
\(481\) | 0.00804581 | + | 0.0139357i | 0.000366857 | + | 0.000635415i | ||||
\(482\) | −17.4640 | − | 10.7216i | −0.795462 | − | 0.488355i | ||||
\(483\) | −1.58080 | − | 3.70665i | −0.0719288 | − | 0.168658i | ||||
\(484\) | 11.2437 | − | 5.70578i | 0.511075 | − | 0.259354i | ||||
\(485\) | −11.4012 | − | 11.4012i | −0.517700 | − | 0.517700i | ||||
\(486\) | 20.1491 | − | 8.94514i | 0.913980 | − | 0.405760i | ||||
\(487\) | −31.5803 | −1.43104 | −0.715520 | − | 0.698593i | \(-0.753810\pi\) | ||||
−0.715520 | + | 0.698593i | \(0.753810\pi\) | |||||||
\(488\) | −1.03891 | − | 5.68321i | −0.0470290 | − | 0.257267i | ||||
\(489\) | 2.42718 | − | 6.03692i | 0.109761 | − | 0.272999i | ||||
\(490\) | −6.47702 | − | 27.0762i | −0.292602 | − | 1.22318i | ||||
\(491\) | 37.5248 | + | 10.0547i | 1.69347 | + | 0.453764i | 0.971282 | − | 0.237931i | \(-0.0764692\pi\) |
0.722190 | + | 0.691695i | \(0.243136\pi\) | |||||||
\(492\) | 3.26054 | + | 2.73559i | 0.146996 | + | 0.123330i | ||||
\(493\) | 0.363200 | − | 0.0973191i | 0.0163577 | − | 0.00438303i | ||||
\(494\) | −35.1820 | + | 19.0651i | −1.58291 | + | 0.857777i | ||||
\(495\) | 21.4475 | − | 22.3608i | 0.963995 | − | 1.00504i | ||||
\(496\) | 24.7156 | − | 10.9074i | 1.10977 | − | 0.489756i | ||||
\(497\) | −26.2691 | − | 15.1665i | −1.17833 | − | 0.680308i | ||||
\(498\) | −0.965473 | − | 1.30237i | −0.0432639 | − | 0.0583606i | ||||
\(499\) | 18.4149 | + | 4.93425i | 0.824362 | + | 0.220887i | 0.646253 | − | 0.763123i | \(-0.276335\pi\) |
0.178110 | + | 0.984011i | \(0.443002\pi\) | |||||||
\(500\) | 14.1755 | − | 12.7217i | 0.633946 | − | 0.568933i | ||||
\(501\) | 11.9272 | − | 15.8838i | 0.532867 | − | 0.709638i | ||||
\(502\) | −27.2032 | − | 28.7132i | −1.21414 | − | 1.28153i | ||||
\(503\) | − | 29.5143i | − | 1.31598i | −0.753028 | − | 0.657988i | \(-0.771408\pi\) | ||
0.753028 | − | 0.657988i | \(-0.228592\pi\) | |||||||
\(504\) | −32.1212 | + | 6.56647i | −1.43079 | + | 0.292494i | ||||
\(505\) | − | 14.8693i | − | 0.661674i | ||||||
\(506\) | −2.57148 | + | 2.43625i | −0.114316 | + | 0.108304i | ||||
\(507\) | −3.79521 | − | 0.459464i | −0.168551 | − | 0.0204055i | ||||
\(508\) | 1.13209 | − | 20.9460i | 0.0502285 | − | 0.929331i | ||||
\(509\) | 3.05007 | + | 0.817265i | 0.135192 | + | 0.0362246i | 0.325781 | − | 0.945445i | \(-0.394373\pi\) |
−0.190588 | + | 0.981670i | \(0.561040\pi\) | |||||||
\(510\) | 0.923806 | + | 8.04538i | 0.0409068 | + | 0.356256i | ||||
\(511\) | −24.8236 | − | 14.3319i | −1.09813 | − | 0.634007i | ||||
\(512\) | 5.44406 | − | 21.9627i | 0.240596 | − | 0.970625i | ||||
\(513\) | −18.4106 | − | 40.7914i | −0.812849 | − | 1.80099i | ||||
\(514\) | −13.4811 | − | 24.8775i | −0.594624 | − | 1.09730i | ||||
\(515\) | −29.0909 | + | 7.79488i | −1.28190 | + | 0.343484i | ||||
\(516\) | 1.65592 | − | 1.15963i | 0.0728978 | − | 0.0510501i | ||||
\(517\) | 10.0430 | + | 2.69101i | 0.441690 | + | 0.118351i | ||||
\(518\) | 0.0260303 | − | 0.00622681i | 0.00114371 | − | 0.000273590i | ||||
\(519\) | 24.2335 | + | 30.9094i | 1.06373 | + | 1.35677i | ||||
\(520\) | 13.1137 | − | 18.9806i | 0.575073 | − | 0.832355i | ||||
\(521\) | −10.0508 | −0.440334 | −0.220167 | − | 0.975462i | \(-0.570660\pi\) | ||||
−0.220167 | + | 0.975462i | \(0.570660\pi\) | |||||||
\(522\) | 0.605379 | − | 1.03380i | 0.0264967 | − | 0.0452483i | ||||
\(523\) | 10.1827 | + | 10.1827i | 0.445258 | + | 0.445258i | 0.893775 | − | 0.448516i | \(-0.148047\pi\) |
−0.448516 | + | 0.893775i | \(0.648047\pi\) | |||||||
\(524\) | −11.6091 | + | 35.5312i | −0.507144 | + | 1.55219i | ||||
\(525\) | −4.67826 | + | 6.23020i | −0.204176 | + | 0.271908i | ||||
\(526\) | −4.47143 | + | 7.28334i | −0.194964 | + | 0.317569i | ||||
\(527\) | −4.49676 | − | 7.78861i | −0.195882 | − | 0.339277i | ||||
\(528\) | 15.2339 | + | 24.4650i | 0.662968 | + | 1.06470i | ||||
\(529\) | −11.3187 | + | 19.6046i | −0.492118 | + | 0.852374i | ||||
\(530\) | 7.68606 | + | 14.1836i | 0.333861 | + | 0.616096i | ||||
\(531\) | 14.3517 | − | 8.68975i | 0.622813 | − | 0.377103i | ||||
\(532\) | 13.7314 | + | 65.1249i | 0.595334 | + | 2.82352i | ||||
\(533\) | −3.89883 | + | 1.04469i | −0.168877 | + | 0.0452505i | ||||
\(534\) | −10.0972 | − | 25.5673i | −0.436947 | − | 1.10641i | ||||
\(535\) | 6.65317 | + | 11.5236i | 0.287642 | + | 0.498210i | ||||
\(536\) | −9.74803 | + | 27.3144i | −0.421051 | + | 1.17980i | ||||
\(537\) | −16.5775 | − | 6.66510i | −0.715374 | − | 0.287620i | ||||
\(538\) | −22.5026 | − | 23.7516i | −0.970154 | − | 1.02401i | ||||
\(539\) | −23.3228 | + | 23.3228i | −1.00458 | + | 1.00458i | ||||
\(540\) | 20.1077 | + | 16.1683i | 0.865296 | + | 0.695774i | ||||
\(541\) | −2.24130 | − | 2.24130i | −0.0963612 | − | 0.0963612i | 0.657283 | − | 0.753644i | \(-0.271706\pi\) |
−0.753644 | + | 0.657283i | \(0.771706\pi\) | |||||||
\(542\) | 18.0700 | + | 0.487966i | 0.776171 | + | 0.0209599i | ||||
\(543\) | 2.50126 | − | 6.22117i | 0.107339 | − | 0.266976i | ||||
\(544\) | −7.46420 | − | 1.01375i | −0.320025 | − | 0.0434641i | ||||
\(545\) | 19.5470 | − | 11.2854i | 0.837300 | − | 0.483415i | ||||
\(546\) | 12.3732 | − | 28.5248i | 0.529523 | − | 1.22075i | ||||
\(547\) | −8.53649 | − | 31.8586i | −0.364994 | − | 1.36218i | −0.867429 | − | 0.497561i | \(-0.834229\pi\) |
0.502435 | − | 0.864615i | \(-0.332437\pi\) | |||||||
\(548\) | −12.3560 | + | 18.9586i | −0.527820 | + | 0.809869i | ||||
\(549\) | −2.95265 | + | 5.36957i | −0.126016 | + | 0.229168i | ||||
\(550\) | 6.56518 | + | 1.95054i | 0.279940 | + | 0.0831712i | ||||
\(551\) | −2.10621 | − | 1.21602i | −0.0897277 | − | 0.0518043i | ||||
\(552\) | −2.20781 | − | 1.95629i | −0.0939708 | − | 0.0832654i | ||||
\(553\) | −3.24404 | + | 1.87295i | −0.137951 | + | 0.0796458i | ||||
\(554\) | 15.7307 | − | 3.76301i | 0.668335 | − | 0.159875i | ||||
\(555\) | −0.0168435 | − | 0.0126478i | −0.000714968 | − | 0.000536869i | ||||
\(556\) | −4.11979 | + | 12.6092i | −0.174718 | + | 0.534749i | ||||
\(557\) | 13.3242 | − | 13.3242i | 0.564566 | − | 0.564566i | −0.366035 | − | 0.930601i | \(-0.619285\pi\) |
0.930601 | + | 0.366035i | \(0.119285\pi\) | |||||||
\(558\) | −27.6317 | − | 7.58645i | −1.16974 | − | 0.321160i | ||||
\(559\) | 1.91721i | 0.0810894i | ||||||||
\(560\) | −24.0505 | − | 29.8994i | −1.01632 | − | 1.26348i | ||||
\(561\) | 7.55041 | − | 5.91967i | 0.318779 | − | 0.249929i | ||||
\(562\) | 8.51094 | + | 5.22509i | 0.359012 | + | 0.220407i | ||||
\(563\) | −6.87376 | + | 25.6532i | −0.289695 | + | 1.08115i | 0.655646 | + | 0.755069i | \(0.272397\pi\) |
−0.945340 | + | 0.326086i | \(0.894270\pi\) | |||||||
\(564\) | −1.50299 | + | 8.52686i | −0.0632874 | + | 0.359046i | ||||
\(565\) | −6.00865 | − | 22.4246i | −0.252786 | − | 0.943409i | ||||
\(566\) | 39.6155 | + | 11.7699i | 1.66516 | + | 0.494726i | ||||
\(567\) | 30.8138 | + | 16.1170i | 1.29406 | + | 0.676849i | ||||
\(568\) | −22.1318 | − | 1.79646i | −0.928631 | − | 0.0753777i | ||||
\(569\) | 15.0997 | − | 26.1535i | 0.633013 | − | 1.09641i | −0.353919 | − | 0.935276i | \(-0.615151\pi\) |
0.986932 | − | 0.161135i | \(-0.0515156\pi\) | |||||||
\(570\) | 32.5710 | − | 41.0211i | 1.36425 | − | 1.71819i | ||||
\(571\) | −7.88159 | + | 29.4145i | −0.329834 | + | 1.23096i | 0.579528 | + | 0.814953i | \(0.303237\pi\) |
−0.909362 | + | 0.416006i | \(0.863430\pi\) | |||||||
\(572\) | −27.2924 | − | 1.47510i | −1.14115 | − | 0.0616769i | ||||
\(573\) | 1.24225 | − | 10.2611i | 0.0518959 | − | 0.428664i | ||||
\(574\) | −0.181229 | + | 6.71113i | −0.00756436 | + | 0.280117i | ||||
\(575\) | −0.700996 | −0.0292336 | ||||||||
\(576\) | −19.1891 | + | 14.4145i | −0.799547 | + | 0.600603i | ||||
\(577\) | 25.2709 | 1.05204 | 0.526021 | − | 0.850472i | \(-0.323683\pi\) | ||||
0.526021 | + | 0.850472i | \(0.323683\pi\) | |||||||
\(578\) | 0.581298 | − | 21.5261i | 0.0241788 | − | 0.895368i | ||||
\(579\) | −4.98105 | − | 3.74027i | −0.207005 | − | 0.155440i | ||||
\(580\) | 1.40010 | + | 0.0756726i | 0.0581360 | + | 0.00314213i | ||||
\(581\) | 0.661872 | − | 2.47014i | 0.0274591 | − | 0.102479i | ||||
\(582\) | −15.7348 | − | 2.33747i | −0.652229 | − | 0.0968914i | ||||
\(583\) | 9.55629 | − | 16.5520i | 0.395781 | − | 0.685513i | ||||
\(584\) | −20.9140 | − | 1.69761i | −0.865429 | − | 0.0702475i | ||||
\(585\) | −23.4987 | + | 6.82444i | −0.971552 | + | 0.282156i | ||||
\(586\) | −33.7037 | − | 10.0135i | −1.39229 | − | 0.413653i | ||||
\(587\) | 3.42026 | + | 12.7646i | 0.141169 | + | 0.526851i | 0.999896 | + | 0.0144172i | \(0.00458930\pi\) |
−0.858727 | + | 0.512434i | \(0.828744\pi\) | |||||||
\(588\) | −21.0419 | − | 17.6541i | −0.867754 | − | 0.728044i | ||||
\(589\) | −15.0555 | + | 56.1879i | −0.620351 | + | 2.31518i | ||||
\(590\) | 16.7343 | + | 10.2736i | 0.688939 | + | 0.422958i | ||||
\(591\) | −21.8263 | − | 8.77537i | −0.897812 | − | 0.360971i | ||||
\(592\) | 0.0152666 | − | 0.0122801i | 0.000627452 | − | 0.000504711i | ||||
\(593\) | 41.0718i | 1.68662i | 0.537429 | + | 0.843309i | \(0.319396\pi\) | ||||
−0.537429 | + | 0.843309i | \(0.680604\pi\) | |||||||
\(594\) | 3.86062 | − | 30.3237i | 0.158403 | − | 1.24420i | ||||
\(595\) | −9.03266 | + | 9.03266i | −0.370303 | + | 0.370303i | ||||
\(596\) | 14.1129 | − | 43.1946i | 0.578088 | − | 1.76932i | ||||
\(597\) | −18.8872 | + | 8.05494i | −0.773001 | + | 0.329667i | ||||
\(598\) | 2.72077 | − | 0.650846i | 0.111260 | − | 0.0266151i | ||||
\(599\) | 28.2975 | − | 16.3376i | 1.15621 | − | 0.667536i | 0.205814 | − | 0.978591i | \(-0.434016\pi\) |
0.950392 | + | 0.311055i | \(0.100682\pi\) | |||||||
\(600\) | −1.14130 | + | 5.58798i | −0.0465934 | + | 0.228128i | ||||
\(601\) | 6.48334 | + | 3.74316i | 0.264461 | + | 0.152687i | 0.626368 | − | 0.779528i | \(-0.284541\pi\) |
−0.361907 | + | 0.932214i | \(0.617874\pi\) | |||||||
\(602\) | 3.05678 | + | 0.908180i | 0.124585 | + | 0.0370147i | ||||
\(603\) | 26.3135 | − | 15.9324i | 1.07157 | − | 0.648817i | ||||
\(604\) | −16.6074 | + | 25.4818i | −0.675745 | + | 1.03684i | ||||
\(605\) | −4.05107 | − | 15.1188i | −0.164699 | − | 0.614667i | ||||
\(606\) | −8.73634 | − | 11.7848i | −0.354889 | − | 0.478727i | ||||
\(607\) | 28.1639 | − | 16.2604i | 1.14314 | − | 0.659991i | 0.195932 | − | 0.980617i | \(-0.437227\pi\) |
0.947206 | + | 0.320627i | \(0.103893\pi\) | |||||||
\(608\) | 29.5016 | + | 38.7744i | 1.19645 | + | 1.57251i | ||||
\(609\) | 1.87089 | − | 0.266172i | 0.0758125 | − | 0.0107858i | ||||
\(610\) | −7.16937 | − | 0.193604i | −0.290279 | − | 0.00783879i | ||||
\(611\) | −5.80624 | − | 5.80624i | −0.234895 | − | 0.234895i | ||||
\(612\) | 5.45918 | + | 5.83370i | 0.220674 | + | 0.235813i | ||||
\(613\) | −8.73063 | + | 8.73063i | −0.352627 | + | 0.352627i | −0.861086 | − | 0.508459i | \(-0.830215\pi\) |
0.508459 | + | 0.861086i | \(0.330215\pi\) | |||||||
\(614\) | −17.9830 | − | 18.9812i | −0.725734 | − | 0.766017i | ||||
\(615\) | 4.15794 | − | 3.25990i | 0.167664 | − | 0.131452i | ||||
\(616\) | −15.2802 | + | 42.8159i | −0.615658 | + | 1.72510i | ||||
\(617\) | 16.0423 | + | 27.7861i | 0.645839 | + | 1.11863i | 0.984107 | + | 0.177576i | \(0.0568255\pi\) |
−0.338268 | + | 0.941050i | \(0.609841\pi\) | |||||||
\(618\) | −18.4766 | + | 23.2701i | −0.743236 | + | 0.936061i | ||||
\(619\) | 0.225364 | − | 0.0603861i | 0.00905814 | − | 0.00242712i | −0.254287 | − | 0.967129i | \(-0.581841\pi\) |
0.263345 | + | 0.964702i | \(0.415174\pi\) | |||||||
\(620\) | −6.91900 | − | 32.8152i | −0.277874 | − | 1.31789i | ||||
\(621\) | 0.505156 | + | 3.08772i | 0.0202712 | + | 0.123906i | ||||
\(622\) | 19.4488 | + | 35.8902i | 0.779827 | + | 1.43907i | ||||
\(623\) | 21.6804 | − | 37.5516i | 0.868608 | − | 1.50447i | ||||
\(624\) | −0.758489 | − | 22.7482i | −0.0303639 | − | 0.910657i | ||||
\(625\) | −14.7328 | − | 25.5180i | −0.589312 | − | 1.02072i | ||||
\(626\) | 14.7588 | − | 24.0400i | 0.589879 | − | 0.960830i | ||||
\(627\) | −61.6063 | − | 7.45832i | −2.46032 | − | 0.297857i | ||||
\(628\) | −7.33773 | + | 22.4582i | −0.292807 | + | 0.896178i | ||||
\(629\) | −0.00461205 | − | 0.00461205i | −0.000183895 | − | 0.000183895i | ||||
\(630\) | −0.250478 | + | 40.6988i | −0.00997928 | + | 1.62148i | ||||
\(631\) | 43.7263 | 1.74071 | 0.870357 | − | 0.492421i | \(-0.163888\pi\) | ||||
0.870357 | + | 0.492421i | \(0.163888\pi\) | |||||||
\(632\) | −1.55869 | + | 2.25603i | −0.0620013 | + | 0.0897400i | ||||
\(633\) | 28.0786 | − | 3.99474i | 1.11603 | − | 0.158777i | ||||
\(634\) | 17.4432 | − | 4.17267i | 0.692760 | − | 0.165718i | ||||
\(635\) | −25.1529 | − | 6.73969i | −0.998160 | − | 0.267456i | ||||
\(636\) | 14.4252 | + | 6.72552i | 0.571995 | + | 0.266684i | ||||
\(637\) | 25.1611 | − | 6.74191i | 0.996921 | − | 0.267124i | ||||
\(638\) | −0.791452 | − | 1.46052i | −0.0313339 | − | 0.0578225i | ||||
\(639\) | 16.9969 | + | 16.3028i | 0.672389 | + | 0.644927i | ||||
\(640\) | −25.2835 | − | 12.2377i | −0.999417 | − | 0.483739i | ||||
\(641\) | 13.8843 | + | 8.01611i | 0.548398 | + | 0.316617i | 0.748475 | − | 0.663163i | \(-0.230786\pi\) |
−0.200078 | + | 0.979780i | \(0.564120\pi\) | |||||||
\(642\) | 12.0437 | + | 5.22419i | 0.475327 | + | 0.206182i | ||||
\(643\) | −14.8089 | − | 3.96803i | −0.584006 | − | 0.156484i | −0.0452937 | − | 0.998974i | \(-0.514422\pi\) |
−0.538712 | + | 0.842490i | \(0.681089\pi\) | |||||||
\(644\) | 0.251121 | − | 4.64627i | 0.00989557 | − | 0.183089i | ||||
\(645\) | −0.984485 | − | 2.30842i | −0.0387641 | − | 0.0908938i | ||||
\(646\) | 11.7744 | − | 11.1552i | 0.463257 | − | 0.438895i | ||||
\(647\) | 25.9667i | 1.02086i | 0.859920 | + | 0.510428i | \(0.170513\pi\) | ||||
−0.859920 | + | 0.510428i | \(0.829487\pi\) | |||||||
\(648\) | 25.4362 | + | 1.00032i | 0.999228 | + | 0.0392963i | ||||
\(649\) | − | 23.2639i | − | 0.913188i | ||||||
\(650\) | −3.72001 | − | 3.92650i | −0.145911 | − | 0.154010i | ||||
\(651\) | −17.7311 | − | 41.5758i | −0.694938 | − | 1.62949i | ||||
\(652\) | 5.59157 | − | 5.01814i | 0.218983 | − | 0.196526i | ||||
\(653\) | −19.6002 | − | 5.25185i | −0.767014 | − | 0.205521i | −0.145962 | − | 0.989290i | \(-0.546628\pi\) |
−0.621052 | + | 0.783769i | \(0.713294\pi\) | |||||||
\(654\) | 8.86153 | − | 20.4291i | 0.346513 | − | 0.798842i | ||||
\(655\) | 40.1859 | + | 23.2013i | 1.57019 | + | 0.906551i | ||||
\(656\) | 1.98423 | + | 4.49617i | 0.0774711 | + | 0.175546i | ||||
\(657\) | 16.0617 | + | 15.4057i | 0.626626 | + | 0.601034i | ||||
\(658\) | −12.0078 | + | 6.50700i | −0.468113 | + | 0.253669i | ||||
\(659\) | 20.5292 | − | 5.50079i | 0.799706 | − | 0.214281i | 0.164251 | − | 0.986419i | \(-0.447479\pi\) |
0.635455 | + | 0.772138i | \(0.280813\pi\) | |||||||
\(660\) | 33.6188 | − | 12.2385i | 1.30861 | − | 0.476383i | ||||
\(661\) | −36.6676 | − | 9.82504i | −1.42620 | − | 0.382150i | −0.538523 | − | 0.842611i | \(-0.681017\pi\) |
−0.887680 | + | 0.460461i | \(0.847684\pi\) | |||||||
\(662\) | −8.88054 | − | 37.1238i | −0.345152 | − | 1.44286i | ||||
\(663\) | −7.50161 | + | 1.06725i | −0.291338 | + | 0.0414486i | ||||
\(664\) | −0.336629 | − | 1.84149i | −0.0130637 | − | 0.0714637i | ||||
\(665\) | 82.6229 | 3.20398 | ||||||||
\(666\) | −0.0207807 | 0.000127893i | −0.000805235 | 4.95577e-6i | ||||||
\(667\) | 0.120227 | + | 0.120227i | 0.00465520 | + | 0.00465520i | ||||
\(668\) | 20.4534 | − | 10.3794i | 0.791364 | − | 0.401591i | ||||
\(669\) | 31.5870 | + | 3.82406i | 1.22123 | + | 0.147847i | ||||
\(670\) | 30.6818 | + | 18.8363i | 1.18534 | + | 0.727712i | ||||
\(671\) | 4.24848 | + | 7.35858i | 0.164011 | + | 0.284075i | ||||
\(672\) | −36.6288 | − | 9.56646i | −1.41299 | − | 0.369034i | ||||
\(673\) | 13.2270 | − | 22.9098i | 0.509863 | − | 0.883108i | −0.490072 | − | 0.871682i | \(-0.663030\pi\) |
0.999935 | − | 0.0114260i | \(-0.00363709\pi\) | |||||||
\(674\) | −2.97099 | + | 1.60997i | −0.114438 | + | 0.0620139i | ||||
\(675\) | 4.68177 | − | 3.83081i | 0.180202 | − | 0.147448i | ||||
\(676\) | −3.69823 | − | 2.41027i | −0.142240 | − | 0.0927026i | ||||
\(677\) | −38.2162 | + | 10.2400i | −1.46877 | + | 0.393556i | −0.902509 | − | 0.430671i | \(-0.858277\pi\) |
−0.566260 | + | 0.824226i | \(0.691610\pi\) | |||||||
\(678\) | −17.9376 | − | 14.2426i | −0.688891 | − | 0.546982i | ||||
\(679\) | −12.5462 | − | 21.7306i | −0.481478 | − | 0.833944i | ||||
\(680\) | −3.14306 | + | 8.80700i | −0.120531 | + | 0.337733i | ||||
\(681\) | −7.59199 | + | 5.95226i | −0.290926 | + | 0.228091i | ||||
\(682\) | −28.8432 | + | 27.3263i | −1.10446 | + | 1.04638i | ||||
\(683\) | 8.25500 | − | 8.25500i | 0.315869 | − | 0.315869i | −0.531309 | − | 0.847178i | \(-0.678300\pi\) |
0.847178 | + | 0.531309i | \(0.178300\pi\) | |||||||
\(684\) | 1.71289 | − | 51.6487i | 0.0654940 | − | 1.97484i | ||||
\(685\) | 19.8641 | + | 19.8641i | 0.758968 | + | 0.758968i | ||||
\(686\) | 0.137033 | − | 5.07448i | 0.00523193 | − | 0.193745i | ||||
\(687\) | −45.8185 | + | 6.51859i | −1.74809 | + | 0.248700i | ||||
\(688\) | 2.30677 | − | 0.357626i | 0.0879449 | − | 0.0136344i | ||||
\(689\) | −13.0720 | + | 7.54710i | −0.498002 | + | 0.287522i | ||||
\(690\) | −2.94173 | + | 2.18076i | −0.111990 | + | 0.0830201i | ||||
\(691\) | 2.28570 | + | 8.53034i | 0.0869520 | + | 0.324509i | 0.995677 | − | 0.0928867i | \(-0.0296094\pi\) |
−0.908725 | + | 0.417396i | \(0.862943\pi\) | |||||||
\(692\) | 9.35680 | + | 44.3771i | 0.355692 | + | 1.68696i | ||||
\(693\) | 41.2469 | − | 24.9743i | 1.56684 | − | 0.948696i | ||||
\(694\) | −12.9195 | + | 43.4849i | −0.490418 | + | 1.65066i | ||||
\(695\) | 14.2610 | + | 8.23362i | 0.540952 | + | 0.312319i | ||||
\(696\) | 1.15413 | − | 0.762643i | 0.0437472 | − | 0.0289079i | ||||
\(697\) | 1.41687 | − | 0.818033i | 0.0536679 | − | 0.0309852i | ||||
\(698\) | 1.44585 | + | 6.04415i | 0.0547261 | + | 0.228775i | ||||
\(699\) | 26.7626 | − | 11.4136i | 1.01225 | − | 0.431703i | ||||
\(700\) | −8.02253 | + | 4.07117i | −0.303223 | + | 0.153876i | ||||
\(701\) | −33.2403 | + | 33.2403i | −1.25547 | + | 1.25547i | −0.302237 | + | 0.953233i | \(0.597733\pi\) |
−0.953233 | + | 0.302237i | \(0.902267\pi\) | |||||||
\(702\) | −14.6146 | + | 19.2153i | −0.551591 | + | 0.725235i | ||||
\(703\) | 0.0421870i | 0.00159111i | ||||||||
\(704\) | 3.31614 | + | 33.1131i | 0.124982 | + | 1.24800i | ||||
\(705\) | 9.97249 | + | 4.00950i | 0.375586 | + | 0.151006i | ||||
\(706\) | −25.9071 | + | 42.1991i | −0.975028 | + | 1.58818i | ||||
\(707\) | 5.98913 | − | 22.3517i | 0.225244 | − | 0.840623i | ||||
\(708\) | 19.2992 | − | 1.68961i | 0.725307 | − | 0.0634996i | ||||
\(709\) | 2.25784 | + | 8.42638i | 0.0847950 | + | 0.316459i | 0.995275 | − | 0.0970932i | \(-0.0309545\pi\) |
−0.910480 | + | 0.413553i | \(0.864288\pi\) | |||||||
\(710\) | −7.85038 | + | 26.4231i | −0.294619 | + | 0.991640i | ||||
\(711\) | 2.79305 | − | 0.811151i | 0.104747 | − | 0.0304205i | ||||
\(712\) | 2.56804 | − | 31.6374i | 0.0962412 | − | 1.18566i | ||||
\(713\) | 2.03336 | − | 3.52188i | 0.0761499 | − | 0.131896i | ||||
\(714\) | −1.85188 | + | 12.4660i | −0.0693050 | + | 0.466530i | ||||
\(715\) | −8.78170 | + | 32.7738i | −0.328417 | + | 1.22567i | ||||
\(716\) | −13.7799 | − | 15.3546i | −0.514981 | − | 0.573829i | ||||
\(717\) | −21.5810 | − | 16.2052i | −0.805957 | − | 0.605193i | ||||
\(718\) | 5.38136 | + | 0.145320i | 0.200831 | + | 0.00542329i | ||||
\(719\) | 28.3359 | 1.05675 | 0.528375 | − | 0.849011i | \(-0.322801\pi\) | ||||
0.528375 | + | 0.849011i | \(0.322801\pi\) | |||||||
\(720\) | 12.5944 | + | 27.0004i | 0.469366 | + | 1.00625i | ||||
\(721\) | −46.8696 | −1.74551 | ||||||||
\(722\) | −78.0096 | − | 2.10660i | −2.90322 | − | 0.0783993i | ||||
\(723\) | −3.01646 | + | 24.9162i | −0.112183 | + | 0.926642i | ||||
\(724\) | 5.76224 | − | 5.17130i | 0.214152 | − | 0.192190i | ||||
\(725\) | 0.0850833 | − | 0.317535i | 0.00315991 | − | 0.0117930i | ||||
\(726\) | −12.0937 | − | 9.60243i | −0.448838 | − | 0.356380i | ||||
\(727\) | −23.7175 | + | 41.0800i | −0.879635 | + | 1.52357i | −0.0278935 | + | 0.999611i | \(0.508880\pi\) |
−0.851742 | + | 0.523962i | \(0.824453\pi\) | |||||||
\(728\) | 27.3578 | − | 23.2500i | 1.01395 | − | 0.861701i | ||||
\(729\) | −20.2476 | − | 17.8615i | −0.749912 | − | 0.661538i | ||||
\(730\) | −7.41841 | + | 24.9691i | −0.274568 | + | 0.924149i | ||||
\(731\) | −0.201130 | − | 0.750626i | −0.00743905 | − | 0.0277629i | ||||
\(732\) | −5.79594 | + | 4.05887i | −0.214224 | + | 0.150020i | ||||
\(733\) | −10.5330 | + | 39.3098i | −0.389046 | + | 1.45194i | 0.442643 | + | 0.896698i | \(0.354041\pi\) |
−0.831689 | + | 0.555241i | \(0.812626\pi\) | |||||||
\(734\) | −4.87022 | + | 7.93291i | −0.179763 | + | 0.292809i | ||||
\(735\) | −26.8333 | + | 21.0378i | −0.989760 | + | 0.775990i | ||||
\(736\) | −1.29061 | − | 3.15220i | −0.0475725 | − | 0.116192i | ||||
\(737\) | − | 42.6537i | − | 1.57117i | ||||||
\(738\) | 1.38010 | − | 5.02665i | 0.0508021 | − | 0.185033i | ||||
\(739\) | 2.25483 | − | 2.25483i | 0.0829451 | − | 0.0829451i | −0.664417 | − | 0.747362i | \(-0.731320\pi\) |
0.747362 | + | 0.664417i | \(0.231320\pi\) | |||||||
\(740\) | −0.0110065 | − | 0.0216891i | −0.000404607 | − | 0.000797308i | ||||
\(741\) | 39.1902 | + | 29.4279i | 1.43969 | + | 1.08106i | ||||
\(742\) | 5.84085 | + | 24.4168i | 0.214424 | + | 0.896371i | ||||
\(743\) | −17.9150 | + | 10.3432i | −0.657238 | + | 0.379456i | −0.791224 | − | 0.611527i | \(-0.790556\pi\) |
0.133986 | + | 0.990983i | \(0.457222\pi\) | |||||||
\(744\) | −24.7641 | − | 21.9429i | −0.907895 | − | 0.804466i | ||||
\(745\) | −48.8533 | − | 28.2054i | −1.78985 | − | 1.03337i | ||||
\(746\) | 3.52784 | − | 11.8741i | 0.129163 | − | 0.434742i | ||||
\(747\) | −0.956727 | + | 1.73987i | −0.0350048 | + | 0.0636584i | ||||
\(748\) | 10.8402 | − | 2.28564i | 0.396358 | − | 0.0835713i | ||||
\(749\) | 5.35960 | + | 20.0023i | 0.195836 | + | 0.730868i | ||||
\(750\) | −21.4010 | − | 9.28310i | −0.781454 | − | 0.338971i | ||||
\(751\) | 6.17369 | − | 3.56438i | 0.225281 | − | 0.130066i | −0.383112 | − | 0.923702i | \(-0.625148\pi\) |
0.608393 | + | 0.793636i | \(0.291814\pi\) | |||||||
\(752\) | −5.90296 | + | 8.06909i | −0.215259 | + | 0.294249i | ||||
\(753\) | −18.0708 | + | 44.9459i | −0.658536 | + | 1.63792i | ||||
\(754\) | −0.0354146 | + | 1.31144i | −0.00128972 | + | 0.0477599i | ||||
\(755\) | 26.6989 | + | 26.6989i | 0.971673 | + | 0.971673i | ||||
\(756\) | 23.7138 | + | 32.4036i | 0.862461 | + | 1.17851i | ||||
\(757\) | 18.4928 | − | 18.4928i | 0.672132 | − | 0.672132i | −0.286075 | − | 0.958207i | \(-0.592351\pi\) |
0.958207 | + | 0.286075i | \(0.0923507\pi\) | |||||||
\(758\) | −25.3736 | + | 24.0393i | −0.921612 | + | 0.873146i | ||||
\(759\) | 4.02524 | + | 1.61837i | 0.146107 | + | 0.0587432i | ||||
\(760\) | 54.6544 | − | 25.9044i | 1.98252 | − | 0.939651i | ||||
\(761\) | 15.5559 | + | 26.9436i | 0.563900 | + | 0.976704i | 0.997151 | + | 0.0754303i | \(0.0240330\pi\) |
−0.433251 | + | 0.901273i | \(0.642634\pi\) | |||||||
\(762\) | −23.8951 | + | 9.43675i | −0.865628 | + | 0.341857i | ||||
\(763\) | 33.9289 | − | 9.09123i | 1.22831 | − | 0.329125i | ||||
\(764\) | 6.51664 | − | 9.99891i | 0.235764 | − | 0.361748i | ||||
\(765\) | 8.48426 | − | 5.13709i | 0.306749 | − | 0.185732i | ||||
\(766\) | 10.1192 | − | 5.48358i | 0.365622 | − | 0.198130i | ||||
\(767\) | −9.18637 | + | 15.9113i | −0.331700 | + | 0.574522i | ||||
\(768\) | −27.2290 | + | 5.15593i | −0.982541 | + | 0.186049i | ||||
\(769\) | −18.6655 | − | 32.3296i | −0.673094 | − | 1.16583i | −0.977022 | − | 0.213138i | \(-0.931631\pi\) |
0.303928 | − | 0.952695i | \(-0.401702\pi\) | |||||||
\(770\) | 48.0943 | + | 29.5263i | 1.73320 | + | 1.06405i | ||||
\(771\) | −20.8087 | + | 27.7117i | −0.749409 | + | 0.998014i | ||||
\(772\) | −3.25490 | − | 6.41401i | −0.117146 | − | 0.230845i | ||||
\(773\) | −17.6571 | − | 17.6571i | −0.635082 | − | 0.635082i | 0.314256 | − | 0.949338i | \(-0.398245\pi\) |
−0.949338 | + | 0.314256i | \(0.898245\pi\) | |||||||
\(774\) | −2.13656 | − | 1.25114i | −0.0767971 | − | 0.0449713i | ||||
\(775\) | −7.86277 | −0.282439 | ||||||||
\(776\) | −15.1123 | − | 10.4411i | −0.542500 | − | 0.374813i | ||||
\(777\) | −0.0202251 | − | 0.0257967i | −0.000725571 | − | 0.000925451i | ||||
\(778\) | −3.06194 | − | 12.8000i | −0.109776 | − | 0.458903i | ||||
\(779\) | −10.2215 | − | 2.73884i | −0.366223 | − | 0.0981291i | ||||
\(780\) | −27.8261 | − | 4.90479i | −0.996334 | − | 0.175620i | ||||
\(781\) | 31.5442 | − | 8.45223i | 1.12874 | − | 0.302445i | ||||
\(782\) | −0.996955 | + | 0.540247i | −0.0356510 | + | 0.0193192i | ||||
\(783\) | −1.45998 | − | 0.145948i | −0.0521755 | − | 0.00521575i | ||||
\(784\) | −12.8052 | − | 29.0161i | −0.457329 | − | 1.03629i | ||||
\(785\) | 25.4003 | + | 14.6648i | 0.906574 | + | 0.523411i | ||||
\(786\) | 45.4817 | − | 5.22240i | 1.62228 | − | 0.186277i | ||||
\(787\) | −3.55437 | − | 0.952391i | −0.126700 | − | 0.0339491i | 0.194912 | − | 0.980821i | \(-0.437558\pi\) |
−0.321612 | + | 0.946872i | \(0.604225\pi\) | |||||||
\(788\) | −18.1429 | − | 20.2161i | −0.646314 | − | 0.720170i | ||||
\(789\) | 10.3913 | + | 1.25801i | 0.369939 | + | 0.0447864i | ||||
\(790\) | 2.34116 | + | 2.47111i | 0.0832947 | + | 0.0879182i | ||||
\(791\) | − | 36.1292i | − | 1.28461i | ||||||
\(792\) | 19.4544 | − | 29.4523i | 0.691281 | − | 1.04654i | ||||
\(793\) | − | 6.71049i | − | 0.238297i | ||||||
\(794\) | 10.3863 | − | 9.84013i | 0.368597 | − | 0.349213i | ||||
\(795\) | 11.8638 | − | 15.7995i | 0.420767 | − | 0.560351i | ||||
\(796\) | −23.6750 | − | 1.27959i | −0.839138 | − | 0.0453537i | ||||
\(797\) | 14.1028 | + | 3.77883i | 0.499546 | + | 0.133853i | 0.499789 | − | 0.866147i | \(-0.333411\pi\) |
−0.000243208 | 1.00000i | \(0.500077\pi\) | ||||||||
\(798\) | 65.4839 | − | 48.5445i | 2.31811 | − | 1.71846i | ||||
\(799\) | 2.88237 | + | 1.66414i | 0.101971 | + | 0.0588730i | ||||
\(800\) | −4.03042 | + | 5.20831i | −0.142497 | + | 0.184142i | ||||
\(801\) | −23.3048 | + | 24.2971i | −0.823434 | + | 0.858496i | ||||
\(802\) | 3.06210 | + | 5.65071i | 0.108127 | + | 0.199533i | ||||
\(803\) | 29.8084 | − | 7.98715i | 1.05192 | − | 0.281860i | ||||
\(804\) | 35.3844 | − | 3.09786i | 1.24791 | − | 0.109253i | ||||
\(805\) | −5.57942 | − | 1.49500i | −0.196649 | − | 0.0526919i | ||||
\(806\) | 30.5177 | − | 7.30025i | 1.07494 | − | 0.257140i | ||||
\(807\) | −14.9482 | + | 37.1794i | −0.526202 | + | 1.30878i | ||||
\(808\) | −3.04608 | − | 16.6632i | −0.107161 | − | 0.586210i | ||||
\(809\) | −39.7873 | −1.39885 | −0.699423 | − | 0.714708i | \(-0.746560\pi\) | ||||
−0.699423 | + | 0.714708i | \(0.746560\pi\) | |||||||
\(810\) | 7.72961 | − | 30.6407i | 0.271591 | − | 1.07660i | ||||
\(811\) | 1.19344 | + | 1.19344i | 0.0419073 | + | 0.0419073i | 0.727750 | − | 0.685843i | \(-0.240566\pi\) |
−0.685843 | + | 0.727750i | \(0.740566\pi\) | |||||||
\(812\) | 2.07417 | + | 0.677692i | 0.0727892 | + | 0.0237823i | ||||
\(813\) | −8.68499 | − | 20.3645i | −0.304596 | − | 0.714214i | ||||
\(814\) | −0.0150761 | + | 0.0245568i | −0.000528416 | + | 0.000860715i | ||||
\(815\) | −4.66337 | − | 8.07720i | −0.163351 | − | 0.282932i | ||||
\(816\) | 2.68342 | + | 8.82679i | 0.0939384 | + | 0.309000i | ||||
\(817\) | −2.51316 | + | 4.35291i | −0.0879242 | + | 0.152289i | ||||
\(818\) | 2.81678 | + | 5.19799i | 0.0984863 | + | 0.181743i | ||||
\(819\) | −38.0724 | + | 0.793672i | −1.33036 | + | 0.0277331i | ||||
\(820\) | 5.96961 | − | 1.25868i | 0.208468 | − | 0.0439550i | ||||
\(821\) | 37.8783 | − | 10.1495i | 1.32196 | − | 0.354218i | 0.472249 | − | 0.881465i | \(-0.343442\pi\) |
0.849712 | + | 0.527247i | \(0.176776\pi\) | |||||||
\(822\) | 27.4146 | + | 4.07255i | 0.956193 | + | 0.142047i | ||||
\(823\) | −15.1207 | − | 26.1898i | −0.527075 | − | 0.912921i | −0.999502 | − | 0.0315509i | \(-0.989955\pi\) |
0.472427 | − | 0.881370i | \(-0.343378\pi\) | |||||||
\(824\) | −31.0038 | + | 14.6948i | −1.08007 | + | 0.511918i | ||||
\(825\) | −1.18147 | − | 8.30443i | −0.0411335 | − | 0.289123i | ||||
\(826\) | 21.0172 | + | 22.1838i | 0.731281 | + | 0.771872i | ||||
\(827\) | −30.5628 | + | 30.5628i | −1.06277 | + | 1.06277i | −0.0648812 | + | 0.997893i | \(0.520667\pi\) |
−0.997893 | + | 0.0648812i | \(0.979333\pi\) | |||||||
\(828\) | −1.05022 | + | 3.45678i | −0.0364975 | + | 0.120131i | ||||
\(829\) | −30.0006 | − | 30.0006i | −1.04196 | − | 1.04196i | −0.999080 | − | 0.0428841i | \(-0.986345\pi\) |
−0.0428841 | − | 0.999080i | \(-0.513655\pi\) | |||||||
\(830\) | −2.32304 | − | 0.0627321i | −0.0806340 | − | 0.00217746i | ||||
\(831\) | −12.2225 | − | 15.5896i | −0.423994 | − | 0.540796i | ||||
\(832\) | 10.8075 | − | 23.9570i | 0.374683 | − | 0.830560i | ||||
\(833\) | −9.14380 | + | 5.27918i | −0.316814 | + | 0.182913i | ||||
\(834\) | 16.1404 | − | 1.85331i | 0.558896 | − | 0.0641749i | ||||
\(835\) | −7.36931 | − | 27.5026i | −0.255026 | − | 0.951768i | ||||
\(836\) | −60.0320 | − | 39.1250i | −2.07625 | − | 1.35317i | ||||
\(837\) | 5.66611 | + | 34.6336i | 0.195850 | + | 1.19711i | ||||
\(838\) | 8.82839 | + | 2.62294i | 0.304972 | + | 0.0906080i | ||||
\(839\) | −9.52850 | − | 5.50128i | −0.328960 | − | 0.189925i | 0.326419 | − | 0.945225i | \(-0.394158\pi\) |
−0.655379 | + | 0.755300i | \(0.727491\pi\) | |||||||
\(840\) | −21.0013 | + | 42.0422i | −0.724614 | + | 1.45060i | ||||
\(841\) | 25.0457 | − | 14.4601i | 0.863644 | − | 0.498625i | ||||
\(842\) | 28.8740 | − | 6.90706i | 0.995064 | − | 0.238033i | ||||
\(843\) | 1.47005 | − | 12.1427i | 0.0506312 | − | 0.418217i | ||||
\(844\) | 31.1295 | + | 10.1709i | 1.07152 | + | 0.350097i | ||||
\(845\) | −3.87487 | + | 3.87487i | −0.133300 | + | 0.133300i | ||||
\(846\) | 10.2596 | − | 2.68148i | 0.352732 | − | 0.0921913i | ||||
\(847\) | − | 24.3585i | − | 0.836969i | ||||||
\(848\) | 11.5190 | + | 14.3203i | 0.395563 | + | 0.491761i | ||||
\(849\) | −7.12920 | − | 50.1104i | −0.244673 | − | 1.71978i | ||||
\(850\) | 1.86837 | + | 1.14704i | 0.0640847 | + | 0.0393433i | ||||
\(851\) | 0.000763344 | − | 0.00284884i | 2.61671e−5 | − | 9.76569e-5i | ||||
\(852\) | 9.30276 | + | 25.5544i | 0.318707 | + | 0.875479i | ||||
\(853\) | −2.31959 | − | 8.65682i | −0.0794212 | − | 0.296404i | 0.914778 | − | 0.403956i | \(-0.132365\pi\) |
−0.994199 | + | 0.107553i | \(0.965699\pi\) | |||||||
\(854\) | −10.6991 | − | 3.17875i | −0.366117 | − | 0.108774i | ||||
\(855\) | −62.2981 | − | 15.3085i | −2.13055 | − | 0.523541i | ||||
\(856\) | 9.81656 | + | 11.5510i | 0.335523 | + | 0.394805i | ||||
\(857\) | −7.80951 | + | 13.5265i | −0.266768 | + | 0.462055i | −0.968025 | − | 0.250853i | \(-0.919289\pi\) |
0.701257 | + | 0.712908i | \(0.252622\pi\) | |||||||
\(858\) | 12.2959 | + | 31.1349i | 0.419776 | + | 1.06293i | ||||
\(859\) | 6.98915 | − | 26.0839i | 0.238467 | − | 0.889970i | −0.738089 | − | 0.674704i | \(-0.764271\pi\) |
0.976555 | − | 0.215266i | \(-0.0690619\pi\) | |||||||
\(860\) | 0.156393 | − | 2.89359i | 0.00533295 | − | 0.0986706i | ||||
\(861\) | 7.56331 | − | 3.22558i | 0.257757 | − | 0.109927i | ||||
\(862\) | −0.00166212 | + | 0.0615503i | −5.66121e−5 | + | 0.00209641i | ||||
\(863\) | −56.2955 | −1.91632 | −0.958161 | − | 0.286231i | \(-0.907597\pi\) | ||||
−0.958161 | + | 0.286231i | \(0.907597\pi\) | |||||||
\(864\) | 25.8458 | + | 13.9998i | 0.879292 | + | 0.476283i | ||||
\(865\) | 56.3004 | 1.91427 | ||||||||
\(866\) | 0.0933238 | − | 3.45589i | 0.00317127 | − | 0.117436i | ||||
\(867\) | −24.2595 | + | 10.3461i | −0.823897 | + | 0.351373i | ||||
\(868\) | 2.81672 | − | 52.1152i | 0.0956057 | − | 1.76890i | ||||
\(869\) | 1.04379 | − | 3.89548i | 0.0354082 | − | 0.132145i | ||||
\(870\) | −0.630782 | − | 1.59722i | −0.0213855 | − | 0.0541509i | ||||
\(871\) | −16.8429 | + | 29.1728i | −0.570701 | + | 0.988482i | ||||
\(872\) | 19.5934 | − | 16.6514i | 0.663515 | − | 0.563886i | ||||
\(873\) | 5.43359 | + | 18.7096i | 0.183899 | + | 0.633223i | ||||
\(874\) | 7.03049 | + | 2.08878i | 0.237810 | + | 0.0706541i | ||||
\(875\) | −9.52373 | − | 35.5430i | −0.321961 | − | 1.20157i | ||||
\(876\) | 8.79087 | + | 24.1483i | 0.297016 | + | 0.815894i | ||||
\(877\) | 1.37947 | − | 5.14826i | 0.0465815 | − | 0.173845i | −0.938716 | − | 0.344691i | \(-0.887984\pi\) |
0.985298 | + | 0.170847i | \(0.0546503\pi\) | |||||||
\(878\) | 20.3458 | + | 12.4908i | 0.686638 | + | 0.421545i | ||||
\(879\) | 6.06531 | + | 42.6325i | 0.204578 | + | 1.43796i | ||||
\(880\) | 41.0712 | + | 4.45264i | 1.38451 | + | 0.150098i | ||||
\(881\) | 25.7797i | 0.868540i | 0.900783 | + | 0.434270i | \(0.142994\pi\) | ||||
−0.900783 | + | 0.434270i | \(0.857006\pi\) | |||||||
\(882\) | −8.90647 | + | 32.4395i | −0.299896 | + | 1.09229i | ||||
\(883\) | 33.2893 | − | 33.2893i | 1.12028 | − | 1.12028i | 0.128576 | − | 0.991700i | \(-0.458959\pi\) |
0.991700 | − | 0.128576i | \(-0.0410407\pi\) | |||||||
\(884\) | −8.31668 | − | 2.71730i | −0.279720 | − | 0.0913927i | ||||
\(885\) | 2.89042 | − | 23.8751i | 0.0971605 | − | 0.802552i | ||||
\(886\) | −10.4010 | + | 2.48807i | −0.349429 | + | 0.0835883i | ||||
\(887\) | 44.7029 | − | 25.8093i | 1.50098 | − | 0.866590i | 0.500978 | − | 0.865460i | \(-0.332974\pi\) |
0.999999 | − | 0.00112995i | \(-0.000359673\pi\) | |||||||
\(888\) | −0.0214667 | − | 0.0107232i | −0.000720374 | − | 0.000359847i | ||||
\(889\) | −35.0955 | − | 20.2624i | −1.17707 | − | 0.679579i | ||||
\(890\) | −37.7717 | − | 11.2221i | −1.26611 | − | 0.376166i | ||||
\(891\) | −35.7276 | + | 11.1885i | −1.19692 | + | 0.374828i | ||||
\(892\) | 30.7799 | + | 20.0603i | 1.03059 | + | 0.671670i | ||||
\(893\) | −5.57167 | − | 20.7938i | −0.186449 | − | 0.695837i | ||||
\(894\) | −55.2912 | + | 6.34878i | −1.84922 | + | 0.212335i | ||||
\(895\) | −22.1802 | + | 12.8057i | −0.741402 | + | 0.428049i | ||||
\(896\) | −33.0773 | − | 28.5798i | −1.10504 | − | 0.954784i | ||||
\(897\) | −2.11399 | − | 2.69635i | −0.0705841 | − | 0.0900286i | ||||
\(898\) | −2.14096 | − | 0.0578152i | −0.0714449 | − | 0.00192932i | ||||
\(899\) | 1.34853 | + | 1.34853i | 0.0449761 | + | 0.0449761i | ||||
\(900\) | 6.80334 | − | 1.58325i | 0.226778 | − | 0.0527751i | ||||
\(901\) | 4.32618 | − | 4.32618i | 0.144126 | − | 0.144126i | ||||
\(902\) | −4.97110 | − | 5.24703i | −0.165520 | − | 0.174707i | ||||
\(903\) | −0.550098 | − | 3.86658i | −0.0183061 | − | 0.128672i | ||||
\(904\) | −11.3274 | − | 23.8991i | −0.376744 | − | 0.794874i | ||||
\(905\) | −4.80571 | − | 8.32373i | −0.159747 | − | 0.276690i | ||||
\(906\) | 36.8474 | + | 5.47383i | 1.22417 | + | 0.181856i | ||||
\(907\) | −6.40970 | + | 1.71747i | −0.212831 | + | 0.0570278i | −0.363659 | − | 0.931532i | \(-0.618473\pi\) |
0.150828 | + | 0.988560i | \(0.451806\pi\) | |||||||
\(908\) | −10.8999 | + | 2.29822i | −0.361727 | + | 0.0762692i | ||||
\(909\) | −8.65720 | + | 15.7436i | −0.287141 | + | 0.522184i | ||||
\(910\) | −21.2346 | − | 39.1857i | −0.703921 | − | 1.29899i | ||||
\(911\) | −0.858615 | + | 1.48716i | −0.0284472 | + | 0.0492719i | −0.879899 | − | 0.475162i | \(-0.842390\pi\) |
0.851451 | + | 0.524434i | \(0.175723\pi\) | |||||||
\(912\) | 28.0971 | − | 52.6427i | 0.930389 | − | 1.74317i | ||||
\(913\) | 1.37660 | + | 2.38435i | 0.0455590 | + | 0.0789104i | ||||
\(914\) | 24.6293 | − | 40.1177i | 0.814666 | − | 1.32698i | ||||
\(915\) | 3.44583 | + | 8.07975i | 0.113915 | + | 0.267108i | ||||
\(916\) | −50.7968 | − | 16.5968i | −1.67837 | − | 0.548374i | ||||
\(917\) | 51.0629 | + | 51.0629i | 1.68625 | + | 1.68625i | ||||
\(918\) | 3.70606 | − | 9.05634i | 0.122318 | − | 0.298904i | ||||
\(919\) | −36.4439 | −1.20217 | −0.601087 | − | 0.799184i | \(-0.705266\pi\) | ||||
−0.601087 | + | 0.799184i | \(0.705266\pi\) | |||||||
\(920\) | −4.15946 | + | 0.760361i | −0.137133 | + | 0.0250683i | ||||
\(921\) | −11.9459 | + | 29.7120i | −0.393630 | + | 0.979044i | ||||
\(922\) | 24.1676 | − | 5.78123i | 0.795917 | − | 0.190395i | ||||
\(923\) | −24.9121 | − | 6.67517i | −0.819991 | − | 0.219716i | ||||
\(924\) | 55.4657 | − | 4.85595i | 1.82469 | − | 0.159749i | ||||
\(925\) | −0.00550807 | + | 0.00147588i | −0.000181104 | + | 4.85267e-5i | ||||
\(926\) | 7.05719 | + | 13.0231i | 0.231914 | + | 0.427966i | ||||
\(927\) | 35.3399 | + | 8.68408i | 1.16071 | + | 0.285223i | ||||
\(928\) | 1.58452 | − | 0.202018i | 0.0520145 | − | 0.00663158i | ||||
\(929\) | 11.6134 | + | 6.70498i | 0.381022 | + | 0.219983i | 0.678263 | − | 0.734819i | \(-0.262733\pi\) |
−0.297241 | + | 0.954803i | \(0.596066\pi\) | |||||||
\(930\) | −32.9961 | + | 24.4606i | −1.08198 | + | 0.802096i | ||||
\(931\) | 65.9644 | + | 17.6751i | 2.16190 | + | 0.579278i | ||||
\(932\) | 33.5468 | + | 1.81314i | 1.09886 | + | 0.0593913i | ||||
\(933\) | 30.0203 | − | 39.9791i | 0.982821 | − | 1.30886i | ||||
\(934\) | −3.10742 | + | 2.94401i | −0.101678 | + | 0.0963308i | ||||
\(935\) | − | 13.7528i | − | 0.449766i | ||||||
\(936\) | −24.9357 | + | 12.4617i | −0.815050 | + | 0.407323i | ||||
\(937\) | 7.84860i | 0.256403i | 0.991748 | + | 0.128201i | \(0.0409204\pi\) | ||||
−0.991748 | + | 0.128201i | \(0.959080\pi\) | |||||||
\(938\) | 38.5343 | + | 40.6733i | 1.25819 | + | 1.32803i | ||||
\(939\) | −34.2982 | − | 4.15229i | −1.11928 | − | 0.135505i | ||||
\(940\) | 8.28955 | + | 9.23682i | 0.270375 | + | 0.301272i | ||||
\(941\) | 17.7200 | + | 4.74807i | 0.577657 | + | 0.154783i | 0.535806 | − | 0.844341i | \(-0.320008\pi\) |
0.0418508 | + | 0.999124i | \(0.486675\pi\) | |||||||
\(942\) | 28.7475 | − | 3.30092i | 0.936646 | − | 0.107550i | ||||
\(943\) | 0.640687 | + | 0.369901i | 0.0208636 | + | 0.0120456i | ||||
\(944\) | 20.8579 | + | 8.08496i | 0.678865 | + | 0.263143i | ||||
\(945\) | 45.4334 | − | 20.5057i | 1.47795 | − | 0.667051i | ||||
\(946\) | −3.01846 | + | 1.63570i | −0.0981386 | + | 0.0531810i | ||||
\(947\) | 14.5681 | − | 3.90352i | 0.473401 | − | 0.126847i | −0.0142275 | − | 0.999899i | \(-0.504529\pi\) |
0.487628 | + | 0.873051i | \(0.337862\pi\) | |||||||
\(948\) | 3.30740 | + | 0.582981i | 0.107419 | + | 0.0189344i | ||||
\(949\) | −23.5413 | − | 6.30787i | −0.764183 | − | 0.204762i | ||||
\(950\) | −3.29905 | − | 13.7912i | −0.107035 | − | 0.447446i | ||||
\(951\) | −13.5531 | − | 17.2867i | −0.439490 | − | 0.560560i | ||||
\(952\) | −8.27203 | + | 11.9728i | −0.268098 | + | 0.388042i | ||||
\(953\) | 57.0251 | 1.84722 | 0.923612 | − | 0.383329i | \(-0.125222\pi\) | ||||
0.923612 | + | 0.383329i | \(0.125222\pi\) | |||||||
\(954\) | 0.119966 | − | 19.4926i | 0.00388405 | − | 0.631097i | ||||
\(955\) | −10.4765 | − | 10.4765i | −0.339012 | − | 0.339012i | ||||
\(956\) | −14.1023 | − | 27.7895i | −0.456099 | − | 0.898777i | ||||
\(957\) | −1.22165 | + | 1.62691i | −0.0394903 | + | 0.0525906i | ||||
\(958\) | −19.4204 | − | 11.9227i | −0.627446 | − | 0.385206i | ||||
\(959\) | 21.8591 | + | 37.8610i | 0.705866 | + | 1.22260i | ||||
\(960\) | −0.710875 | + | 34.3950i | −0.0229434 | + | 1.11010i | ||||
\(961\) | 7.30730 | − | 12.6566i | 0.235720 | − | 0.408278i | ||||
\(962\) | 0.0200081 | − | 0.0108423i | 0.000645087 | − | 0.000349571i | ||||
\(963\) | −0.335103 | − | 16.0749i | −0.0107986 | − | 0.518006i | ||||
\(964\) | −15.8238 | + | 24.2795i | −0.509650 | + | 0.781990i | ||||
\(965\) | −8.62461 | + | 2.31096i | −0.277636 | + | 0.0743924i | ||||
\(966\) | −5.30043 | + | 2.09327i | −0.170538 | + | 0.0673498i | ||||
\(967\) | −12.8293 | − | 22.2210i | −0.412562 | − | 0.714578i | 0.582607 | − | 0.812754i | \(-0.302033\pi\) |
−0.995169 | + | 0.0981760i | \(0.968699\pi\) | |||||||
\(968\) | −7.63702 | − | 16.1130i | −0.245463 | − | 0.517890i | ||||
\(969\) | −18.4309 | − | 7.41027i | −0.592087 | − | 0.238052i | ||||
\(970\) | −16.5530 | + | 15.6825i | −0.531486 | + | 0.503536i | ||||
\(971\) | −28.3253 | + | 28.3253i | −0.909001 | + | 0.909001i | −0.996192 | − | 0.0871907i | \(-0.972211\pi\) |
0.0871907 | + | 0.996192i | \(0.472211\pi\) | |||||||
\(972\) | −11.8765 | − | 28.8262i | −0.380939 | − | 0.924600i | ||||
\(973\) | 18.1210 | + | 18.1210i | 0.580934 | + | 0.580934i | ||||
\(974\) | −1.20561 | + | 44.6450i | −0.0386301 | + | 1.43052i | ||||
\(975\) | −2.47116 | + | 6.14631i | −0.0791405 | + | 0.196839i | ||||
\(976\) | −8.07401 | + | 1.25174i | −0.258443 | + | 0.0400671i | ||||
\(977\) | −22.8095 | + | 13.1691i | −0.729742 | + | 0.421317i | −0.818328 | − | 0.574752i | \(-0.805099\pi\) |
0.0885859 | + | 0.996069i | \(0.471765\pi\) | |||||||
\(978\) | −8.44172 | − | 3.66176i | −0.269936 | − | 0.117090i | ||||
\(979\) | 12.0825 | + | 45.0924i | 0.386157 | + | 1.44116i | ||||
\(980\) | −38.5249 | + | 8.12289i | −1.23063 | + | 0.259476i | ||||
\(981\) | −27.2670 | + | 0.568419i | −0.870569 | + | 0.0181482i | ||||
\(982\) | 15.6469 | − | 52.6649i | 0.499313 | − | 1.68061i | ||||
\(983\) | −0.336455 | − | 0.194253i | −0.0107313 | − | 0.00619570i | 0.494625 | − | 0.869107i | \(-0.335305\pi\) |
−0.505356 | + | 0.862911i | \(0.668639\pi\) | |||||||
\(984\) | 3.99177 | − | 4.50499i | 0.127253 | − | 0.143614i | ||||
\(985\) | −29.2028 | + | 16.8602i | −0.930479 | + | 0.537212i | ||||
\(986\) | −0.123714 | − | 0.517170i | −0.00393987 | − | 0.0164701i | ||||
\(987\) | 13.3758 | + | 10.0439i | 0.425758 | + | 0.319701i | ||||
\(988\) | 25.6091 | + | 50.4646i | 0.814735 | + | 1.60549i | ||||
\(989\) | 0.248473 | − | 0.248473i | 0.00790099 | − | 0.00790099i | ||||
\(990\) | −30.7926 | − | 31.1740i | −0.978654 | − | 0.990774i | ||||
\(991\) | − | 3.59863i | − | 0.114314i | −0.998365 | − | 0.0571571i | \(-0.981796\pi\) | ||
0.998365 | − | 0.0571571i | \(-0.0182036\pi\) | |||||||
\(992\) | −14.4762 | − | 35.3569i | −0.459620 | − | 1.12258i | ||||
\(993\) | −36.7907 | + | 28.8446i | −1.16752 | + | 0.915355i | ||||
\(994\) | −22.4436 | + | 36.5575i | −0.711869 | + | 1.15953i | ||||
\(995\) | −7.61777 | + | 28.4299i | −0.241499 | + | 0.901288i | ||||
\(996\) | −1.87802 | + | 1.31517i | −0.0595072 | + | 0.0416727i | ||||
\(997\) | −9.05536 | − | 33.7951i | −0.286786 | − | 1.07030i | −0.947524 | − | 0.319684i | \(-0.896423\pi\) |
0.660738 | − | 0.750616i | \(-0.270243\pi\) | |||||||
\(998\) | 7.67854 | − | 25.8447i | 0.243060 | − | 0.818099i | ||||
\(999\) | 0.0104702 | + | 0.0231982i | 0.000331261 | + | 0.000733958i |
(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.83.12 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.11 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.19 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.20 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.3 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.17 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.14 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.3 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.14 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.17 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.17 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.20 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.19 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.12 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.17 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.11 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.3 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.12 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.12 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.3 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.11 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.20 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.20 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.11 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.19 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.14 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.14 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.19 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.17 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.17 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.17 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.17 | 88 | 36.31 | odd | 6 |