Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(2,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bx (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 315.2 |
Dual form | 315.2.bx.a.158.5 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27659 | − | 0.610010i | −1.60979 | − | 0.431342i | −0.661811 | − | 0.749671i | \(-0.730212\pi\) |
−0.947980 | + | 0.318329i | \(0.896878\pi\) | |||||||
\(3\) | −1.55968 | + | 0.753259i | −0.900481 | + | 0.434894i | ||||
\(4\) | 3.07869 | + | 1.77748i | 1.53935 | + | 0.888741i | ||||
\(5\) | −0.123575 | + | 2.23265i | −0.0552643 | + | 0.998472i | ||||
\(6\) | 4.01024 | − | 0.763441i | 1.63718 | − | 0.311674i | ||||
\(7\) | 0.379075 | + | 2.61845i | 0.143277 | + | 0.989683i | ||||
\(8\) | −2.59147 | − | 2.59147i | −0.916223 | − | 0.916223i | ||||
\(9\) | 1.86520 | − | 2.34969i | 0.621734 | − | 0.783229i | ||||
\(10\) | 1.64327 | − | 5.00744i | 0.519647 | − | 1.58349i | ||||
\(11\) | 1.28011i | 0.385968i | 0.981202 | + | 0.192984i | \(0.0618165\pi\) | ||||
−0.981202 | + | 0.192984i | \(0.938183\pi\) | |||||||
\(12\) | −6.14068 | − | 0.453251i | −1.77266 | − | 0.130842i | ||||
\(13\) | 2.61359 | + | 0.700309i | 0.724879 | + | 0.194231i | 0.602348 | − | 0.798234i | \(-0.294232\pi\) |
0.122531 | + | 0.992465i | \(0.460899\pi\) | |||||||
\(14\) | 0.734284 | − | 6.19238i | 0.196246 | − | 1.65498i | ||||
\(15\) | −1.48903 | − | 3.57530i | −0.384465 | − | 0.923139i | ||||
\(16\) | 0.763924 | + | 1.32315i | 0.190981 | + | 0.330789i | ||||
\(17\) | −5.35224 | − | 1.43413i | −1.29811 | − | 0.347827i | −0.457374 | − | 0.889274i | \(-0.651210\pi\) |
−0.840735 | + | 0.541447i | \(0.817877\pi\) | |||||||
\(18\) | −5.67963 | + | 4.21148i | −1.33870 | + | 0.992655i | ||||
\(19\) | 4.31169 | + | 2.48935i | 0.989169 | + | 0.571097i | 0.905026 | − | 0.425357i | \(-0.139851\pi\) |
0.0841432 | + | 0.996454i | \(0.473185\pi\) | |||||||
\(20\) | −4.34895 | + | 6.65399i | −0.972454 | + | 1.48788i | ||||
\(21\) | −2.56361 | − | 3.79841i | −0.559426 | − | 0.828880i | ||||
\(22\) | 0.780880 | − | 2.91428i | 0.166484 | − | 0.621327i | ||||
\(23\) | 1.75868 | + | 1.75868i | 0.366709 | + | 0.366709i | 0.866276 | − | 0.499566i | \(-0.166507\pi\) |
−0.499566 | + | 0.866276i | \(0.666507\pi\) | |||||||
\(24\) | 5.99391 | + | 2.08981i | 1.22350 | + | 0.426582i | ||||
\(25\) | −4.96946 | − | 0.551798i | −0.993892 | − | 0.110360i | ||||
\(26\) | −5.52287 | − | 3.18863i | −1.08312 | − | 0.625342i | ||||
\(27\) | −1.13919 | + | 5.06974i | −0.219238 | + | 0.975671i | ||||
\(28\) | −3.48720 | + | 8.73521i | −0.659019 | + | 1.65080i | ||||
\(29\) | −0.432744 | + | 0.749535i | −0.0803586 | + | 0.139185i | −0.903404 | − | 0.428790i | \(-0.858940\pi\) |
0.823045 | + | 0.567976i | \(0.192273\pi\) | |||||||
\(30\) | 1.20893 | + | 9.04782i | 0.220720 | + | 1.65190i | ||||
\(31\) | −2.40096 | + | 4.15859i | −0.431226 | + | 0.746905i | −0.996979 | − | 0.0776696i | \(-0.975252\pi\) |
0.565753 | + | 0.824574i | \(0.308585\pi\) | |||||||
\(32\) | 0.965086 | + | 3.60175i | 0.170605 | + | 0.636706i | ||||
\(33\) | −0.964255 | − | 1.99656i | −0.167855 | − | 0.347557i | ||||
\(34\) | 11.3100 | + | 6.52984i | 1.93965 | + | 1.11986i | ||||
\(35\) | −5.89294 | + | 0.522768i | −0.996088 | + | 0.0883640i | ||||
\(36\) | 9.91890 | − | 3.91859i | 1.65315 | − | 0.653099i | ||||
\(37\) | −7.66268 | + | 2.05321i | −1.25974 | + | 0.337545i | −0.826090 | − | 0.563538i | \(-0.809440\pi\) |
−0.433646 | + | 0.901083i | \(0.642773\pi\) | |||||||
\(38\) | −8.29741 | − | 8.29741i | −1.34602 | − | 1.34602i | ||||
\(39\) | −4.60387 | + | 0.876452i | −0.737210 | + | 0.140345i | ||||
\(40\) | 6.10609 | − | 5.46561i | 0.965458 | − | 0.864189i | ||||
\(41\) | −7.31234 | + | 4.22178i | −1.14200 | + | 0.659332i | −0.946924 | − | 0.321457i | \(-0.895827\pi\) |
−0.195072 | + | 0.980789i | \(0.562494\pi\) | |||||||
\(42\) | 3.51922 | + | 10.2112i | 0.543027 | + | 1.57563i | ||||
\(43\) | −2.52904 | − | 9.43849i | −0.385674 | − | 1.43936i | −0.837101 | − | 0.547048i | \(-0.815751\pi\) |
0.451427 | − | 0.892308i | \(-0.350915\pi\) | |||||||
\(44\) | −2.27537 | + | 3.94106i | −0.343025 | + | 0.594138i | ||||
\(45\) | 5.01554 | + | 4.45470i | 0.747672 | + | 0.664068i | ||||
\(46\) | −2.93097 | − | 5.07659i | −0.432148 | − | 0.748503i | ||||
\(47\) | 8.54414 | + | 2.28939i | 1.24629 | + | 0.333943i | 0.820902 | − | 0.571068i | \(-0.193471\pi\) |
0.425388 | + | 0.905011i | \(0.360138\pi\) | |||||||
\(48\) | −2.18815 | − | 1.48826i | −0.315833 | − | 0.214812i | ||||
\(49\) | −6.71260 | + | 1.98518i | −0.958943 | + | 0.283598i | ||||
\(50\) | 10.9768 | + | 4.28764i | 1.55236 | + | 0.606363i | ||||
\(51\) | 9.42805 | − | 1.79484i | 1.32019 | − | 0.251328i | ||||
\(52\) | 6.80164 | + | 6.80164i | 0.943218 | + | 0.943218i | ||||
\(53\) | 2.16991 | − | 8.09823i | 0.298061 | − | 1.11238i | −0.640695 | − | 0.767795i | \(-0.721354\pi\) |
0.938756 | − | 0.344582i | \(-0.111979\pi\) | |||||||
\(54\) | 5.68606 | − | 10.8468i | 0.773775 | − | 1.47606i | ||||
\(55\) | −2.85804 | − | 0.158189i | −0.385378 | − | 0.0213302i | ||||
\(56\) | 5.80328 | − | 7.76801i | 0.775497 | − | 1.03804i | ||||
\(57\) | −8.59998 | − | 0.634776i | −1.13910 | − | 0.0840781i | ||||
\(58\) | 1.44240 | − | 1.44240i | 0.189397 | − | 0.189397i | ||||
\(59\) | 1.13380 | − | 1.96380i | 0.147608 | − | 0.255665i | −0.782735 | − | 0.622356i | \(-0.786176\pi\) |
0.930343 | + | 0.366690i | \(0.119509\pi\) | |||||||
\(60\) | 1.77078 | − | 13.6540i | 0.228607 | − | 1.76272i | ||||
\(61\) | −2.56662 | − | 4.44551i | −0.328622 | − | 0.569190i | 0.653617 | − | 0.756826i | \(-0.273251\pi\) |
−0.982239 | + | 0.187636i | \(0.939917\pi\) | |||||||
\(62\) | 8.00279 | − | 8.00279i | 1.01635 | − | 1.01635i | ||||
\(63\) | 6.85960 | + | 3.99323i | 0.864228 | + | 0.503100i | ||||
\(64\) | − | 11.8441i | − | 1.48051i | ||||||
\(65\) | −1.88652 | + | 5.74869i | −0.233994 | + | 0.713037i | ||||
\(66\) | 0.977289 | + | 5.13355i | 0.120296 | + | 0.631897i | ||||
\(67\) | −7.95352 | + | 2.13114i | −0.971678 | + | 0.260360i | −0.709536 | − | 0.704669i | \(-0.751095\pi\) |
−0.262142 | + | 0.965029i | \(0.584429\pi\) | |||||||
\(68\) | −13.9288 | − | 13.9288i | −1.68911 | − | 1.68911i | ||||
\(69\) | −4.06771 | − | 1.41823i | −0.489695 | − | 0.170735i | ||||
\(70\) | 13.7347 | + | 2.40462i | 1.64161 | + | 0.287407i | ||||
\(71\) | − | 4.51852i | − | 0.536250i | −0.963384 | − | 0.268125i | \(-0.913596\pi\) | ||
0.963384 | − | 0.268125i | \(-0.0864039\pi\) | |||||||
\(72\) | −10.9228 | + | 1.25553i | −1.28726 | + | 0.147966i | ||||
\(73\) | 1.26540 | + | 0.339062i | 0.148103 | + | 0.0396842i | 0.332109 | − | 0.943241i | \(-0.392240\pi\) |
−0.184006 | + | 0.982925i | \(0.558906\pi\) | |||||||
\(74\) | 18.6972 | 2.17351 | ||||||||
\(75\) | 8.16641 | − | 2.88266i | 0.942976 | − | 0.332861i | ||||
\(76\) | 8.84957 | + | 15.3279i | 1.01512 | + | 1.75823i | ||||
\(77\) | −3.35191 | + | 0.485258i | −0.381986 | + | 0.0553003i | ||||
\(78\) | 11.0158 | + | 0.813088i | 1.24729 | + | 0.0920641i | ||||
\(79\) | −5.44438 | + | 3.14331i | −0.612540 | + | 0.353650i | −0.773959 | − | 0.633236i | \(-0.781726\pi\) |
0.161419 | + | 0.986886i | \(0.448393\pi\) | |||||||
\(80\) | −3.04854 | + | 1.54207i | −0.340838 | + | 0.172408i | ||||
\(81\) | −2.04205 | − | 8.76527i | −0.226895 | − | 0.973919i | ||||
\(82\) | 19.2225 | − | 5.15066i | 2.12277 | − | 0.568795i | ||||
\(83\) | 13.5129 | − | 3.62078i | 1.48324 | − | 0.397432i | 0.575790 | − | 0.817598i | \(-0.304695\pi\) |
0.907447 | + | 0.420166i | \(0.138028\pi\) | |||||||
\(84\) | −1.14096 | − | 16.2509i | −0.124489 | − | 1.77312i | ||||
\(85\) | 3.86331 | − | 11.7725i | 0.419035 | − | 1.27690i | ||||
\(86\) | 23.0303i | 2.48342i | ||||||||
\(87\) | 0.110348 | − | 1.49500i | 0.0118306 | − | 0.160281i | ||||
\(88\) | 3.31737 | − | 3.31737i | 0.353633 | − | 0.353633i | ||||
\(89\) | −7.91717 | + | 13.7129i | −0.839218 | + | 1.45357i | 0.0513312 | + | 0.998682i | \(0.483654\pi\) |
−0.890549 | + | 0.454887i | \(0.849680\pi\) | |||||||
\(90\) | −8.70090 | − | 13.2011i | −0.917155 | − | 1.39151i | ||||
\(91\) | −0.842979 | + | 7.10903i | −0.0883683 | + | 0.745229i | ||||
\(92\) | 2.28840 | + | 8.54044i | 0.238583 | + | 0.890402i | ||||
\(93\) | 0.612236 | − | 8.29462i | 0.0634860 | − | 0.860112i | ||||
\(94\) | −18.0549 | − | 10.4240i | −1.86222 | − | 1.07516i | ||||
\(95\) | −6.09067 | + | 9.31887i | −0.624890 | + | 0.956096i | ||||
\(96\) | −4.21828 | − | 4.89062i | −0.430526 | − | 0.499147i | ||||
\(97\) | 6.81512 | − | 1.82611i | 0.691970 | − | 0.185413i | 0.104339 | − | 0.994542i | \(-0.466727\pi\) |
0.587631 | + | 0.809129i | \(0.300061\pi\) | |||||||
\(98\) | 16.4928 | − | 0.424689i | 1.66603 | − | 0.0429001i | ||||
\(99\) | 3.00786 | + | 2.38766i | 0.302301 | + | 0.239969i | ||||
\(100\) | −14.3186 | − | 10.5319i | −1.43186 | − | 1.05319i | ||||
\(101\) | − | 1.88693i | − | 0.187757i | −0.995584 | − | 0.0938785i | \(-0.970073\pi\) | ||
0.995584 | − | 0.0938785i | \(-0.0299265\pi\) | |||||||
\(102\) | −22.5587 | − | 1.66508i | −2.23364 | − | 0.164868i | ||||
\(103\) | −6.76127 | + | 6.76127i | −0.666208 | + | 0.666208i | −0.956836 | − | 0.290628i | \(-0.906136\pi\) |
0.290628 | + | 0.956836i | \(0.406136\pi\) | |||||||
\(104\) | −4.95821 | − | 8.58787i | −0.486192 | − | 0.842110i | ||||
\(105\) | 8.79731 | − | 5.25426i | 0.858530 | − | 0.512763i | ||||
\(106\) | −9.88000 | + | 17.1127i | −0.959631 | + | 1.66213i | ||||
\(107\) | −1.99249 | − | 7.43606i | −0.192621 | − | 0.718871i | −0.992870 | − | 0.119203i | \(-0.961966\pi\) |
0.800249 | − | 0.599668i | \(-0.204701\pi\) | |||||||
\(108\) | −12.5186 | + | 13.5833i | −1.20460 | + | 1.30705i | ||||
\(109\) | −5.97033 | + | 3.44697i | −0.571854 | + | 0.330160i | −0.757890 | − | 0.652383i | \(-0.773769\pi\) |
0.186035 | + | 0.982543i | \(0.440436\pi\) | |||||||
\(110\) | 6.41008 | + | 2.10356i | 0.611177 | + | 0.200567i | ||||
\(111\) | 10.4047 | − | 8.97433i | 0.987573 | − | 0.851806i | ||||
\(112\) | −3.17503 | + | 2.50187i | −0.300013 | + | 0.236405i | ||||
\(113\) | −0.504856 | + | 1.88415i | −0.0474928 | + | 0.177246i | −0.985598 | − | 0.169105i | \(-0.945912\pi\) |
0.938105 | + | 0.346350i | \(0.112579\pi\) | |||||||
\(114\) | 19.1914 | + | 6.69120i | 1.79744 | + | 0.626688i | ||||
\(115\) | −4.14384 | + | 3.70918i | −0.386415 | + | 0.345883i | ||||
\(116\) | −2.66457 | + | 1.53839i | −0.247399 | + | 0.142836i | ||||
\(117\) | 6.52037 | − | 4.83489i | 0.602809 | − | 0.446986i | ||||
\(118\) | −3.77914 | + | 3.77914i | −0.347898 | + | 0.347898i | ||||
\(119\) | 1.72630 | − | 14.5582i | 0.158249 | − | 1.33455i | ||||
\(120\) | −5.40652 | + | 13.1241i | −0.493546 | + | 1.19806i | ||||
\(121\) | 9.36132 | 0.851029 | ||||||||
\(122\) | 3.13133 | + | 11.6863i | 0.283497 | + | 1.05802i | ||||
\(123\) | 8.22481 | − | 12.0927i | 0.741606 | − | 1.09036i | ||||
\(124\) | −14.7836 | + | 8.53534i | −1.32761 | + | 0.766496i | ||||
\(125\) | 1.84607 | − | 11.0269i | 0.165118 | − | 0.986274i | ||||
\(126\) | −13.1806 | − | 13.2754i | −1.17422 | − | 1.18266i | ||||
\(127\) | 11.3874 | + | 11.3874i | 1.01047 | + | 1.01047i | 0.999945 | + | 0.0105279i | \(0.00335121\pi\) |
0.0105279 | + | 0.999945i | \(0.496649\pi\) | |||||||
\(128\) | −5.29485 | + | 19.7607i | −0.468003 | + | 1.74661i | ||||
\(129\) | 11.0541 | + | 12.8160i | 0.973261 | + | 1.12839i | ||||
\(130\) | 7.80158 | − | 11.9366i | 0.684244 | − | 1.04691i | ||||
\(131\) | 19.5886i | 1.71146i | 0.517418 | + | 0.855732i | \(0.326893\pi\) | ||||
−0.517418 | + | 0.855732i | \(0.673107\pi\) | |||||||
\(132\) | 0.580211 | − | 7.86074i | 0.0505009 | − | 0.684190i | ||||
\(133\) | −4.88380 | + | 12.2336i | −0.423480 | + | 1.06079i | ||||
\(134\) | 19.4069 | 1.67650 | ||||||||
\(135\) | −11.1782 | − | 3.16991i | −0.962064 | − | 0.272822i | ||||
\(136\) | 10.1537 | + | 17.5867i | 0.870670 | + | 1.50805i | ||||
\(137\) | −3.50099 | + | 3.50099i | −0.299110 | + | 0.299110i | −0.840665 | − | 0.541555i | \(-0.817836\pi\) |
0.541555 | + | 0.840665i | \(0.317836\pi\) | |||||||
\(138\) | 8.39537 | + | 5.71008i | 0.714661 | + | 0.486074i | ||||
\(139\) | −14.6126 | + | 8.43661i | −1.23943 | + | 0.715584i | −0.968977 | − | 0.247150i | \(-0.920506\pi\) |
−0.270450 | + | 0.962734i | \(0.587173\pi\) | |||||||
\(140\) | −19.0717 | − | 8.86515i | −1.61186 | − | 0.749242i | ||||
\(141\) | −15.0506 | + | 2.86523i | −1.26749 | + | 0.241296i | ||||
\(142\) | −2.75634 | + | 10.2868i | −0.231307 | + | 0.863250i | ||||
\(143\) | −0.896472 | + | 3.34568i | −0.0749668 | + | 0.279780i | ||||
\(144\) | 4.53387 | + | 0.672968i | 0.377822 | + | 0.0560807i | ||||
\(145\) | −1.61997 | − | 1.05879i | −0.134532 | − | 0.0879278i | ||||
\(146\) | −2.67396 | − | 1.54381i | −0.221298 | − | 0.127767i | ||||
\(147\) | 8.97415 | − | 8.15258i | 0.740176 | − | 0.672414i | ||||
\(148\) | −27.2406 | − | 7.29908i | −2.23916 | − | 0.599981i | ||||
\(149\) | 18.6313 | 1.52633 | 0.763167 | − | 0.646202i | \(-0.223644\pi\) | ||||
0.763167 | + | 0.646202i | \(0.223644\pi\) | |||||||
\(150\) | −20.3500 | + | 1.58104i | −1.66157 | + | 0.129092i | ||||
\(151\) | 14.6554 | 1.19264 | 0.596320 | − | 0.802747i | \(-0.296629\pi\) | ||||
0.596320 | + | 0.802747i | \(0.296629\pi\) | |||||||
\(152\) | −4.72253 | − | 17.6247i | −0.383047 | − | 1.42955i | ||||
\(153\) | −13.3528 | + | 9.90115i | −1.07951 | + | 0.800461i | ||||
\(154\) | 7.92693 | + | 0.939965i | 0.638770 | + | 0.0757445i | ||||
\(155\) | −8.98798 | − | 5.87441i | −0.721932 | − | 0.471844i | ||||
\(156\) | −15.7318 | − | 5.48498i | −1.25955 | − | 0.439150i | ||||
\(157\) | 5.48883 | − | 1.47073i | 0.438056 | − | 0.117377i | −0.0330491 | − | 0.999454i | \(-0.510522\pi\) |
0.471106 | + | 0.882077i | \(0.343855\pi\) | |||||||
\(158\) | 14.3121 | − | 3.83490i | 1.13861 | − | 0.305089i | ||||
\(159\) | 2.71570 | + | 14.2652i | 0.215369 | + | 1.13130i | ||||
\(160\) | −8.16071 | + | 1.70962i | −0.645161 | + | 0.135157i | ||||
\(161\) | −3.93834 | + | 5.27169i | −0.310385 | + | 0.415467i | ||||
\(162\) | −0.697992 | + | 21.2006i | −0.0548394 | + | 1.66568i | ||||
\(163\) | −1.21283 | − | 4.52634i | −0.0949961 | − | 0.354530i | 0.902023 | − | 0.431688i | \(-0.142082\pi\) |
−0.997019 | + | 0.0771582i | \(0.975415\pi\) | |||||||
\(164\) | −30.0166 | −2.34390 | ||||||||
\(165\) | 4.57678 | − | 1.90612i | 0.356302 | − | 0.148391i | ||||
\(166\) | −32.9721 | −2.55913 | ||||||||
\(167\) | 1.20973 | + | 0.324147i | 0.0936119 | + | 0.0250832i | 0.305321 | − | 0.952250i | \(-0.401236\pi\) |
−0.211709 | + | 0.977333i | \(0.567903\pi\) | |||||||
\(168\) | −3.19994 | + | 16.4870i | −0.246881 | + | 1.27200i | ||||
\(169\) | −4.91792 | − | 2.83936i | −0.378302 | − | 0.218413i | ||||
\(170\) | −15.9765 | + | 24.4444i | −1.22534 | + | 1.87480i | ||||
\(171\) | 13.8914 | − | 5.48797i | 1.06230 | − | 0.419675i | ||||
\(172\) | 8.99063 | − | 33.5535i | 0.685529 | − | 2.55843i | ||||
\(173\) | 0.359298 | − | 1.34092i | 0.0273169 | − | 0.101948i | −0.950921 | − | 0.309433i | \(-0.899861\pi\) |
0.978238 | + | 0.207484i | \(0.0665276\pi\) | |||||||
\(174\) | −1.16318 | + | 3.33619i | −0.0881808 | + | 0.252916i | ||||
\(175\) | −0.438941 | − | 13.2215i | −0.0331808 | − | 0.999449i | ||||
\(176\) | −1.69378 | + | 0.977906i | −0.127674 | + | 0.0737125i | ||||
\(177\) | −0.289115 | + | 3.91695i | −0.0217312 | + | 0.294416i | ||||
\(178\) | 26.3892 | − | 26.3892i | 1.97795 | − | 1.97795i | ||||
\(179\) | 2.04977 | + | 3.55031i | 0.153207 | + | 0.265363i | 0.932405 | − | 0.361416i | \(-0.117706\pi\) |
−0.779198 | + | 0.626778i | \(0.784373\pi\) | |||||||
\(180\) | 7.52313 | + | 22.6297i | 0.560741 | + | 1.68672i | ||||
\(181\) | 9.79644 | 0.728164 | 0.364082 | − | 0.931367i | \(-0.381383\pi\) | ||||
0.364082 | + | 0.931367i | \(0.381383\pi\) | |||||||
\(182\) | 6.25570 | − | 15.6701i | 0.463703 | − | 1.16155i | ||||
\(183\) | 7.35173 | + | 5.00025i | 0.543455 | + | 0.369629i | ||||
\(184\) | − | 9.11512i | − | 0.671976i | ||||||
\(185\) | −3.63718 | − | 17.3618i | −0.267411 | − | 1.27647i | ||||
\(186\) | −6.45361 | + | 18.5100i | −0.473202 | + | 1.35722i | ||||
\(187\) | 1.83584 | − | 6.85146i | 0.134250 | − | 0.501028i | ||||
\(188\) | 22.2354 | + | 22.2354i | 1.62168 | + | 1.62168i | ||||
\(189\) | −13.7067 | − | 1.06111i | −0.997017 | − | 0.0771844i | ||||
\(190\) | 19.5506 | − | 17.4999i | 1.41835 | − | 1.26957i | ||||
\(191\) | 5.93508 | − | 3.42662i | 0.429448 | − | 0.247942i | −0.269664 | − | 0.962955i | \(-0.586913\pi\) |
0.699111 | + | 0.715013i | \(0.253579\pi\) | |||||||
\(192\) | 8.92169 | + | 18.4730i | 0.643867 | + | 1.33318i | ||||
\(193\) | 1.55819 | + | 5.81524i | 0.112161 | + | 0.418590i | 0.999059 | − | 0.0433752i | \(-0.0138111\pi\) |
−0.886898 | + | 0.461965i | \(0.847144\pi\) | |||||||
\(194\) | −16.6292 | −1.19390 | ||||||||
\(195\) | −1.38789 | − | 10.3871i | −0.0993888 | − | 0.743839i | ||||
\(196\) | −24.1947 | − | 5.81977i | −1.72819 | − | 0.415698i | ||||
\(197\) | −11.5511 | + | 11.5511i | −0.822979 | + | 0.822979i | −0.986534 | − | 0.163555i | \(-0.947704\pi\) |
0.163555 | + | 0.986534i | \(0.447704\pi\) | |||||||
\(198\) | −5.39115 | − | 7.27055i | −0.383133 | − | 0.516695i | ||||
\(199\) | 20.9534 | − | 12.0974i | 1.48535 | − | 0.857565i | 0.485486 | − | 0.874245i | \(-0.338643\pi\) |
0.999861 | + | 0.0166795i | \(0.00530951\pi\) | |||||||
\(200\) | 11.4482 | + | 14.3082i | 0.809513 | + | 1.01174i | ||||
\(201\) | 10.7996 | − | 9.31496i | 0.761748 | − | 0.657027i | ||||
\(202\) | −1.15105 | + | 4.29577i | −0.0809875 | + | 0.302249i | ||||
\(203\) | −2.12667 | − | 0.848991i | −0.149263 | − | 0.0595875i | ||||
\(204\) | 32.2164 | + | 11.2324i | 2.25560 | + | 0.786427i | ||||
\(205\) | −8.52214 | − | 16.8476i | −0.595212 | − | 1.17669i | ||||
\(206\) | 19.5171 | − | 11.2682i | 1.35982 | − | 0.785092i | ||||
\(207\) | 7.41262 | − | 0.852054i | 0.515213 | − | 0.0592218i | ||||
\(208\) | 1.06996 | + | 3.99316i | 0.0741887 | + | 0.276876i | ||||
\(209\) | −3.18665 | + | 5.51944i | −0.220425 | + | 0.381787i | ||||
\(210\) | −23.2330 | + | 6.59534i | −1.60323 | + | 0.455122i | ||||
\(211\) | −1.21622 | − | 2.10655i | −0.0837278 | − | 0.145021i | 0.821121 | − | 0.570755i | \(-0.193349\pi\) |
−0.904848 | + | 0.425734i | \(0.860016\pi\) | |||||||
\(212\) | 21.0750 | − | 21.0750i | 1.44743 | − | 1.44743i | ||||
\(213\) | 3.40362 | + | 7.04744i | 0.233212 | + | 0.482883i | ||||
\(214\) | 18.1443i | 1.24032i | ||||||||
\(215\) | 21.3854 | − | 4.48010i | 1.45847 | − | 0.305540i | ||||
\(216\) | 16.0903 | − | 10.1859i | 1.09480 | − | 0.693062i | ||||
\(217\) | −11.7992 | − | 4.71039i | −0.800984 | − | 0.319762i | ||||
\(218\) | 15.6947 | − | 4.20538i | 1.06298 | − | 0.284824i | ||||
\(219\) | −2.22901 | + | 0.424344i | −0.150623 | + | 0.0286745i | ||||
\(220\) | −8.51784 | − | 5.56713i | −0.574272 | − | 0.375336i | ||||
\(221\) | −12.9842 | − | 7.49644i | −0.873413 | − | 0.504265i | ||||
\(222\) | −29.1617 | + | 14.0839i | −1.95721 | + | 0.945248i | ||||
\(223\) | 3.38294 | + | 12.6253i | 0.226539 | + | 0.845453i | 0.981782 | + | 0.190009i | \(0.0608518\pi\) |
−0.755244 | + | 0.655444i | \(0.772482\pi\) | |||||||
\(224\) | −9.06518 | + | 3.89237i | −0.605693 | + | 0.260070i | ||||
\(225\) | −10.5656 | + | 10.6475i | −0.704373 | + | 0.709830i | ||||
\(226\) | 2.29870 | − | 3.98146i | 0.152907 | − | 0.264843i | ||||
\(227\) | −10.2650 | + | 10.2650i | −0.681313 | + | 0.681313i | −0.960296 | − | 0.278983i | \(-0.910003\pi\) |
0.278983 | + | 0.960296i | \(0.410003\pi\) | |||||||
\(228\) | −25.3484 | − | 17.2406i | −1.67874 | − | 1.14179i | ||||
\(229\) | − | 21.6015i | − | 1.42747i | −0.700418 | − | 0.713733i | \(-0.747003\pi\) | ||
0.700418 | − | 0.713733i | \(-0.252997\pi\) | |||||||
\(230\) | 11.6965 | − | 5.91650i | 0.771241 | − | 0.390122i | ||||
\(231\) | 4.86238 | − | 3.28170i | 0.319921 | − | 0.215920i | ||||
\(232\) | 3.06384 | − | 0.820954i | 0.201151 | − | 0.0538983i | ||||
\(233\) | −11.5776 | + | 3.10221i | −0.758473 | + | 0.203232i | −0.617273 | − | 0.786749i | \(-0.711763\pi\) |
−0.141200 | + | 0.989981i | \(0.545096\pi\) | |||||||
\(234\) | −17.7935 | + | 7.02957i | −1.16320 | + | 0.459538i | ||||
\(235\) | −6.16726 | + | 18.7932i | −0.402308 | + | 1.22593i | ||||
\(236\) | 6.98125 | − | 4.03062i | 0.454440 | − | 0.262371i | ||||
\(237\) | 6.12376 | − | 9.00359i | 0.397781 | − | 0.584846i | ||||
\(238\) | −12.8107 | + | 32.0901i | −0.830397 | + | 2.08009i | ||||
\(239\) | 1.98005 | + | 3.42954i | 0.128078 | + | 0.221838i | 0.922932 | − | 0.384963i | \(-0.125786\pi\) |
−0.794854 | + | 0.606801i | \(0.792452\pi\) | |||||||
\(240\) | 3.59318 | − | 4.70147i | 0.231938 | − | 0.303479i | ||||
\(241\) | 18.6589 | 1.20192 | 0.600962 | − | 0.799278i | \(-0.294784\pi\) | ||||
0.600962 | + | 0.799278i | \(0.294784\pi\) | |||||||
\(242\) | −21.3119 | − | 5.71050i | −1.36998 | − | 0.367085i | ||||
\(243\) | 9.78747 | + | 12.1328i | 0.627867 | + | 0.778321i | ||||
\(244\) | − | 18.2485i | − | 1.16824i | ||||||
\(245\) | −3.60271 | − | 15.2322i | −0.230169 | − | 0.973151i | ||||
\(246\) | −26.1012 | + | 22.5129i | −1.66415 | + | 1.43537i | ||||
\(247\) | 9.52566 | + | 9.52566i | 0.606103 | + | 0.606103i | ||||
\(248\) | 16.9989 | − | 4.55484i | 1.07943 | − | 0.289233i | ||||
\(249\) | −18.3485 | + | 15.8260i | −1.16279 | + | 1.00293i | ||||
\(250\) | −10.9293 | + | 23.9775i | −0.691227 | + | 1.51647i | ||||
\(251\) | 2.35330i | 0.148539i | 0.997238 | + | 0.0742694i | \(0.0236625\pi\) | ||||
−0.997238 | + | 0.0742694i | \(0.976338\pi\) | |||||||
\(252\) | 14.0207 | + | 24.4867i | 0.883219 | + | 1.54252i | ||||
\(253\) | −2.25130 | + | 2.25130i | −0.141538 | + | 0.141538i | ||||
\(254\) | −18.9781 | − | 32.8710i | −1.19079 | − | 2.06251i | ||||
\(255\) | 2.84219 | + | 21.2713i | 0.177985 | + | 1.33206i | ||||
\(256\) | 12.2643 | − | 21.2424i | 0.766518 | − | 1.32765i | ||||
\(257\) | 17.8951 | − | 17.8951i | 1.11627 | − | 1.11627i | 0.123983 | − | 0.992284i | \(-0.460433\pi\) |
0.992284 | − | 0.123983i | \(-0.0395669\pi\) | |||||||
\(258\) | −17.3478 | − | 35.9199i | −1.08003 | − | 2.23627i | ||||
\(259\) | −8.28097 | − | 19.2861i | −0.514554 | − | 1.19838i | ||||
\(260\) | −16.0262 | + | 14.3452i | −0.993903 | + | 0.889650i | ||||
\(261\) | 0.954018 | + | 2.41485i | 0.0590522 | + | 0.149475i | ||||
\(262\) | 11.9492 | − | 44.5952i | 0.738227 | − | 2.75510i | ||||
\(263\) | 14.4278 | + | 14.4278i | 0.889654 | + | 0.889654i | 0.994490 | − | 0.104835i | \(-0.0334316\pi\) |
−0.104835 | + | 0.994490i | \(0.533432\pi\) | |||||||
\(264\) | −2.67519 | + | 7.67287i | −0.164647 | + | 0.472232i | ||||
\(265\) | 17.8124 | + | 5.84540i | 1.09421 | + | 0.359080i | ||||
\(266\) | 18.5810 | − | 24.8717i | 1.13928 | − | 1.52498i | ||||
\(267\) | 2.01885 | − | 27.3515i | 0.123551 | − | 1.67388i | ||||
\(268\) | −28.2745 | − | 7.57613i | −1.72714 | − | 0.462786i | ||||
\(269\) | −1.77898 | − | 3.08129i | −0.108467 | − | 0.187870i | 0.806683 | − | 0.590985i | \(-0.201261\pi\) |
−0.915149 | + | 0.403115i | \(0.867927\pi\) | |||||||
\(270\) | 23.5144 | + | 14.0354i | 1.43104 | + | 0.854166i | ||||
\(271\) | −11.4359 | + | 19.8076i | −0.694683 | + | 1.20323i | 0.275604 | + | 0.961271i | \(0.411122\pi\) |
−0.970287 | + | 0.241956i | \(0.922211\pi\) | |||||||
\(272\) | −2.19113 | − | 8.17741i | −0.132857 | − | 0.495828i | ||||
\(273\) | −4.04016 | − | 11.7228i | −0.244522 | − | 0.709495i | ||||
\(274\) | 10.1059 | − | 5.83467i | 0.610522 | − | 0.352485i | ||||
\(275\) | 0.706363 | − | 6.36145i | 0.0425953 | − | 0.383610i | ||||
\(276\) | −10.0023 | − | 11.5966i | −0.602070 | − | 0.698033i | ||||
\(277\) | −4.06608 | − | 4.06608i | −0.244307 | − | 0.244307i | 0.574322 | − | 0.818629i | \(-0.305266\pi\) |
−0.818629 | + | 0.574322i | \(0.805266\pi\) | |||||||
\(278\) | 38.4134 | − | 10.2928i | 2.30388 | − | 0.617323i | ||||
\(279\) | 5.29310 | + | 13.3981i | 0.316890 | + | 0.802124i | ||||
\(280\) | 16.6261 | + | 13.9166i | 0.993600 | + | 0.831678i | ||||
\(281\) | −0.157303 | − | 0.0908188i | −0.00938390 | − | 0.00541780i | 0.495301 | − | 0.868722i | \(-0.335058\pi\) |
−0.504685 | + | 0.863304i | \(0.668391\pi\) | |||||||
\(282\) | 36.0119 | + | 2.65808i | 2.14448 | + | 0.158287i | ||||
\(283\) | 5.08009 | + | 18.9591i | 0.301980 | + | 1.12700i | 0.935514 | + | 0.353289i | \(0.114937\pi\) |
−0.633534 | + | 0.773715i | \(0.718396\pi\) | |||||||
\(284\) | 8.03159 | − | 13.9111i | 0.476587 | − | 0.825473i | ||||
\(285\) | 2.47997 | − | 19.1223i | 0.146901 | − | 1.13271i | ||||
\(286\) | 4.08180 | − | 7.06988i | 0.241362 | − | 0.418051i | ||||
\(287\) | −13.8265 | − | 17.5467i | −0.816151 | − | 1.03575i | ||||
\(288\) | 10.2631 | + | 4.45034i | 0.604757 | + | 0.262239i | ||||
\(289\) | 11.8673 | + | 6.85160i | 0.698078 | + | 0.403035i | ||||
\(290\) | 3.04214 | + | 3.39863i | 0.178641 | + | 0.199574i | ||||
\(291\) | −9.25387 | + | 7.98169i | −0.542471 | + | 0.467895i | ||||
\(292\) | 3.29309 | + | 3.29309i | 0.192713 | + | 0.192713i | ||||
\(293\) | −0.773901 | + | 2.88824i | −0.0452118 | + | 0.168733i | −0.984840 | − | 0.173464i | \(-0.944504\pi\) |
0.939628 | + | 0.342196i | \(0.111171\pi\) | |||||||
\(294\) | −25.4036 | + | 13.0857i | −1.48157 | + | 0.763176i | ||||
\(295\) | 4.24437 | + | 2.77406i | 0.247117 | + | 0.161512i | ||||
\(296\) | 25.1784 | + | 14.5368i | 1.46347 | + | 0.844933i | ||||
\(297\) | −6.48982 | − | 1.45829i | −0.376578 | − | 0.0846187i | ||||
\(298\) | −42.4157 | − | 11.3653i | −2.45708 | − | 0.658372i | ||||
\(299\) | 3.36484 | + | 5.82807i | 0.194594 | + | 0.337046i | ||||
\(300\) | 30.2657 | + | 5.64083i | 1.74739 | + | 0.325673i | ||||
\(301\) | 23.7556 | − | 10.2001i | 1.36925 | − | 0.587922i | ||||
\(302\) | −33.3643 | − | 8.93995i | −1.91990 | − | 0.514436i | ||||
\(303\) | 1.42135 | + | 2.94301i | 0.0816545 | + | 0.169072i | ||||
\(304\) | 7.60671i | 0.436275i | ||||||||
\(305\) | 10.2424 | − | 5.18101i | 0.586481 | − | 0.296664i | ||||
\(306\) | 36.4385 | − | 14.3955i | 2.08305 | − | 0.822937i | ||||
\(307\) | 1.61954 | + | 1.61954i | 0.0924322 | + | 0.0924322i | 0.751811 | − | 0.659379i | \(-0.229181\pi\) |
−0.659379 | + | 0.751811i | \(0.729181\pi\) | |||||||
\(308\) | −11.1820 | − | 4.46400i | −0.637155 | − | 0.254360i | ||||
\(309\) | 5.45243 | − | 15.6384i | 0.310178 | − | 0.889638i | ||||
\(310\) | 16.8785 | + | 18.8564i | 0.958633 | + | 1.07097i | ||||
\(311\) | −11.3491 | − | 6.55241i | −0.643549 | − | 0.371553i | 0.142431 | − | 0.989805i | \(-0.454508\pi\) |
−0.785980 | + | 0.618252i | \(0.787841\pi\) | |||||||
\(312\) | 14.2021 | + | 9.65950i | 0.804036 | + | 0.546862i | ||||
\(313\) | 12.0733 | + | 3.23504i | 0.682425 | + | 0.182855i | 0.583345 | − | 0.812224i | \(-0.301743\pi\) |
0.0990797 | + | 0.995080i | \(0.468410\pi\) | |||||||
\(314\) | −13.3930 | −0.755809 | ||||||||
\(315\) | −9.76317 | + | 14.8216i | −0.550092 | + | 0.835104i | ||||
\(316\) | −22.3487 | −1.25721 | ||||||||
\(317\) | −19.0168 | − | 5.09555i | −1.06809 | − | 0.286194i | −0.318383 | − | 0.947962i | \(-0.603140\pi\) |
−0.749709 | + | 0.661768i | \(0.769807\pi\) | |||||||
\(318\) | 2.51936 | − | 34.1325i | 0.141279 | − | 1.91405i | ||||
\(319\) | −0.959488 | − | 0.553961i | −0.0537210 | − | 0.0310158i | ||||
\(320\) | 26.4438 | + | 1.46363i | 1.47825 | + | 0.0818196i | ||||
\(321\) | 8.70892 | + | 10.0970i | 0.486085 | + | 0.563560i | ||||
\(322\) | 12.1818 | − | 9.59903i | 0.678863 | − | 0.534933i | ||||
\(323\) | −19.5071 | − | 19.5071i | −1.08541 | − | 1.08541i | ||||
\(324\) | 9.29327 | − | 30.6153i | 0.516293 | − | 1.70085i | ||||
\(325\) | −12.6017 | − | 4.92233i | −0.699016 | − | 0.273042i | ||||
\(326\) | 11.0444i | 0.611695i | ||||||||
\(327\) | 6.71534 | − | 9.87338i | 0.371359 | − | 0.545999i | ||||
\(328\) | 29.8903 | + | 8.00909i | 1.65042 | + | 0.442228i | ||||
\(329\) | −2.75580 | + | 23.2403i | −0.151932 | + | 1.28128i | ||||
\(330\) | −11.5822 | + | 1.54757i | −0.637579 | + | 0.0851908i | ||||
\(331\) | −2.94659 | − | 5.10365i | −0.161959 | − | 0.280522i | 0.773612 | − | 0.633660i | \(-0.218448\pi\) |
−0.935571 | + | 0.353138i | \(0.885115\pi\) | |||||||
\(332\) | 48.0380 | + | 12.8717i | 2.63643 | + | 0.706429i | ||||
\(333\) | −9.46804 | + | 21.8345i | −0.518845 | + | 1.19653i | ||||
\(334\) | −2.55633 | − | 1.47590i | −0.139876 | − | 0.0807575i | ||||
\(335\) | −3.77524 | − | 18.0208i | −0.206263 | − | 0.984581i | ||||
\(336\) | 3.06748 | − | 6.29375i | 0.167345 | − | 0.343352i | ||||
\(337\) | −7.38693 | + | 27.5684i | −0.402392 | + | 1.50175i | 0.406424 | + | 0.913684i | \(0.366775\pi\) |
−0.808816 | + | 0.588062i | \(0.799891\pi\) | |||||||
\(338\) | 9.46404 | + | 9.46404i | 0.514776 | + | 0.514776i | ||||
\(339\) | −0.631838 | − | 3.31895i | −0.0343167 | − | 0.180261i | ||||
\(340\) | 32.8193 | − | 29.3768i | 1.77988 | − | 1.59318i | ||||
\(341\) | −5.32345 | − | 3.07350i | −0.288281 | − | 0.166439i | ||||
\(342\) | −34.9726 | + | 4.01997i | −1.89110 | + | 0.217375i | ||||
\(343\) | −7.74269 | − | 16.8241i | −0.418066 | − | 0.908417i | ||||
\(344\) | −17.9057 | + | 31.0135i | −0.965408 | + | 1.67214i | ||||
\(345\) | 3.66908 | − | 8.90652i | 0.197537 | − | 0.479511i | ||||
\(346\) | −1.63595 | + | 2.83355i | −0.0879491 | + | 0.152332i | ||||
\(347\) | 5.04415 | + | 18.8250i | 0.270784 | + | 1.01058i | 0.958614 | + | 0.284708i | \(0.0918967\pi\) |
−0.687830 | + | 0.725872i | \(0.741437\pi\) | |||||||
\(348\) | 2.99707 | − | 4.40651i | 0.160660 | − | 0.236214i | ||||
\(349\) | 10.4510 | + | 6.03391i | 0.559432 | + | 0.322988i | 0.752917 | − | 0.658115i | \(-0.228646\pi\) |
−0.193486 | + | 0.981103i | \(0.561979\pi\) | |||||||
\(350\) | −7.06594 | + | 30.3676i | −0.377690 | + | 1.62322i | ||||
\(351\) | −6.52776 | + | 12.4524i | −0.348426 | + | 0.664661i | ||||
\(352\) | −4.61064 | + | 1.23542i | −0.245748 | + | 0.0658479i | ||||
\(353\) | 1.10406 | + | 1.10406i | 0.0587632 | + | 0.0587632i | 0.735878 | − | 0.677114i | \(-0.236770\pi\) |
−0.677114 | + | 0.735878i | \(0.736770\pi\) | |||||||
\(354\) | 3.04757 | − | 8.74091i | 0.161977 | − | 0.464574i | ||||
\(355\) | 10.0883 | + | 0.558375i | 0.535430 | + | 0.0296355i | ||||
\(356\) | −48.7490 | + | 28.1453i | −2.58369 | + | 1.49170i | ||||
\(357\) | 8.27366 | + | 24.0065i | 0.437889 | + | 1.27056i | ||||
\(358\) | −2.50077 | − | 9.33298i | −0.132170 | − | 0.493263i | ||||
\(359\) | −13.1270 | + | 22.7366i | −0.692815 | + | 1.19999i | 0.278097 | + | 0.960553i | \(0.410296\pi\) |
−0.970912 | + | 0.239438i | \(0.923037\pi\) | |||||||
\(360\) | −1.45338 | − | 24.5419i | −0.0766001 | − | 1.29347i | ||||
\(361\) | 2.89377 | + | 5.01215i | 0.152304 | + | 0.263798i | ||||
\(362\) | −22.3025 | − | 5.97593i | −1.17219 | − | 0.314088i | ||||
\(363\) | −14.6007 | + | 7.05150i | −0.766336 | + | 0.370108i | ||||
\(364\) | −15.2314 | + | 20.3881i | −0.798345 | + | 1.06863i | ||||
\(365\) | −0.913378 | + | 2.78329i | −0.0478084 | + | 0.145684i | ||||
\(366\) | −13.6867 | − | 15.8681i | −0.715413 | − | 0.829441i | ||||
\(367\) | 19.7182 | + | 19.7182i | 1.02928 | + | 1.02928i | 0.999558 | + | 0.0297220i | \(0.00946219\pi\) |
0.0297220 | + | 0.999558i | \(0.490538\pi\) | |||||||
\(368\) | −0.983507 | + | 3.67050i | −0.0512688 | + | 0.191338i | ||||
\(369\) | −3.71912 | + | 25.0562i | −0.193610 | + | 1.30437i | ||||
\(370\) | −2.31051 | + | 41.7444i | −0.120117 | + | 2.17019i | ||||
\(371\) | 22.0274 | + | 2.61198i | 1.14361 | + | 0.135607i | ||||
\(372\) | 16.6284 | − | 24.4483i | 0.862144 | − | 1.26759i | ||||
\(373\) | 16.3201 | − | 16.3201i | 0.845024 | − | 0.845024i | −0.144483 | − | 0.989507i | \(-0.546152\pi\) |
0.989507 | + | 0.144483i | \(0.0461519\pi\) | |||||||
\(374\) | −8.35891 | + | 14.4781i | −0.432229 | + | 0.748643i | ||||
\(375\) | 5.42682 | + | 18.5890i | 0.280240 | + | 0.959930i | ||||
\(376\) | −16.2090 | − | 28.0748i | −0.835915 | − | 1.44785i | ||||
\(377\) | −1.65592 | + | 1.65592i | −0.0852843 | + | 0.0852843i | ||||
\(378\) | 30.5573 | + | 10.7769i | 1.57170 | + | 0.554306i | ||||
\(379\) | 14.4408i | 0.741772i | 0.928678 | + | 0.370886i | \(0.120946\pi\) | ||||
−0.928678 | + | 0.370886i | \(0.879054\pi\) | |||||||
\(380\) | −35.3154 | + | 17.8639i | −1.81164 | + | 0.916396i | ||||
\(381\) | −26.3385 | − | 9.18307i | −1.34936 | − | 0.470463i | ||||
\(382\) | −15.6020 | + | 4.18055i | −0.798269 | + | 0.213895i | ||||
\(383\) | −21.8274 | − | 21.8274i | −1.11533 | − | 1.11533i | −0.992418 | − | 0.122910i | \(-0.960777\pi\) |
−0.122910 | − | 0.992418i | \(-0.539223\pi\) | |||||||
\(384\) | −6.62663 | − | 34.8087i | −0.338164 | − | 1.77632i | ||||
\(385\) | −0.669201 | − | 7.54361i | −0.0341056 | − | 0.384458i | ||||
\(386\) | − | 14.1894i | − | 0.722223i | ||||||
\(387\) | −26.8947 | − | 11.6622i | −1.36713 | − | 0.592825i | ||||
\(388\) | 24.2275 | + | 6.49174i | 1.22997 | + | 0.329568i | ||||
\(389\) | 12.7829 | 0.648118 | 0.324059 | − | 0.946037i | \(-0.394952\pi\) | ||||
0.324059 | + | 0.946037i | \(0.394952\pi\) | |||||||
\(390\) | −3.17661 | + | 24.4939i | −0.160854 | + | 1.24030i | ||||
\(391\) | −6.89069 | − | 11.9350i | −0.348477 | − | 0.603580i | ||||
\(392\) | 22.5401 | + | 12.2510i | 1.13845 | + | 0.618768i | ||||
\(393\) | −14.7553 | − | 30.5520i | −0.744307 | − | 1.54114i | ||||
\(394\) | 33.3433 | − | 19.2507i | 1.67981 | − | 0.969839i | ||||
\(395\) | −6.34513 | − | 12.5438i | −0.319258 | − | 0.631149i | ||||
\(396\) | 5.01623 | + | 12.6973i | 0.252075 | + | 0.638063i | ||||
\(397\) | −23.7131 | + | 6.35392i | −1.19013 | + | 0.318894i | −0.798937 | − | 0.601415i | \(-0.794604\pi\) |
−0.391192 | + | 0.920309i | \(0.627937\pi\) | |||||||
\(398\) | −55.0818 | + | 14.7591i | −2.76100 | + | 0.739808i | ||||
\(399\) | −1.59791 | − | 22.7593i | −0.0799956 | − | 1.13939i | ||||
\(400\) | −3.06617 | − | 6.99689i | −0.153309 | − | 0.349845i | ||||
\(401\) | − | 12.0192i | − | 0.600208i | −0.953906 | − | 0.300104i | \(-0.902979\pi\) | ||
0.953906 | − | 0.300104i | \(-0.0970214\pi\) | |||||||
\(402\) | −30.2686 | + | 14.6184i | −1.50966 | + | 0.729101i | ||||
\(403\) | −9.18742 | + | 9.18742i | −0.457658 | + | 0.457658i | ||||
\(404\) | 3.35399 | − | 5.80929i | 0.166867 | − | 0.289023i | ||||
\(405\) | 19.8221 | − | 3.47602i | 0.984970 | − | 0.172725i | ||||
\(406\) | 4.32365 | + | 3.23009i | 0.214579 | + | 0.160307i | ||||
\(407\) | −2.62833 | − | 9.80907i | −0.130282 | − | 0.486218i | ||||
\(408\) | −29.0838 | − | 19.7812i | −1.43986 | − | 0.979317i | ||||
\(409\) | −1.38567 | − | 0.800016i | −0.0685169 | − | 0.0395582i | 0.465350 | − | 0.885127i | \(-0.345928\pi\) |
−0.533867 | + | 0.845568i | \(0.679262\pi\) | |||||||
\(410\) | 9.12420 | + | 43.5537i | 0.450612 | + | 2.15096i | ||||
\(411\) | 2.82327 | − | 8.09757i | 0.139262 | − | 0.399424i | ||||
\(412\) | −32.8339 | + | 8.79782i | −1.61761 | + | 0.433438i | ||||
\(413\) | 5.57192 | + | 2.22438i | 0.274176 | + | 0.109454i | ||||
\(414\) | −17.3953 | − | 2.58200i | −0.854930 | − | 0.126898i | ||||
\(415\) | 6.41408 | + | 30.6171i | 0.314855 | + | 1.50293i | ||||
\(416\) | 10.0894i | 0.494671i | ||||||||
\(417\) | 16.4361 | − | 24.1655i | 0.804878 | − | 1.18339i | ||||
\(418\) | 10.6216 | − | 10.6216i | 0.519519 | − | 0.519519i | ||||
\(419\) | −3.69032 | − | 6.39182i | −0.180284 | − | 0.312261i | 0.761693 | − | 0.647938i | \(-0.224368\pi\) |
−0.941977 | + | 0.335677i | \(0.891035\pi\) | |||||||
\(420\) | 36.4236 | − | 0.539169i | 1.77729 | − | 0.0263088i | ||||
\(421\) | −14.0528 | + | 24.3402i | −0.684892 | + | 1.18627i | 0.288579 | + | 0.957456i | \(0.406817\pi\) |
−0.973471 | + | 0.228811i | \(0.926516\pi\) | |||||||
\(422\) | 1.48381 | + | 5.53765i | 0.0722306 | + | 0.269568i | ||||
\(423\) | 21.3159 | − | 15.8059i | 1.03641 | − | 0.768507i | ||||
\(424\) | −26.6096 | + | 15.3631i | −1.29228 | + | 0.746096i | ||||
\(425\) | 25.8064 | + | 10.0802i | 1.25179 | + | 0.488962i | ||||
\(426\) | −3.44962 | − | 18.1204i | −0.167135 | − | 0.877934i | ||||
\(427\) | 10.6674 | − | 8.40576i | 0.516233 | − | 0.406783i | ||||
\(428\) | 7.08322 | − | 26.4349i | 0.342380 | − | 1.27778i | ||||
\(429\) | −1.12196 | − | 5.89346i | −0.0541685 | − | 0.284539i | ||||
\(430\) | −51.4186 | − | 2.84596i | −2.47962 | − | 0.137244i | ||||
\(431\) | −14.0638 | + | 8.11971i | −0.677427 | + | 0.391113i | −0.798885 | − | 0.601484i | \(-0.794576\pi\) |
0.121458 | + | 0.992597i | \(0.461243\pi\) | |||||||
\(432\) | −7.57830 | + | 2.36557i | −0.364611 | + | 0.113813i | ||||
\(433\) | −8.05153 | + | 8.05153i | −0.386932 | + | 0.386932i | −0.873592 | − | 0.486660i | \(-0.838215\pi\) |
0.486660 | + | 0.873592i | \(0.338215\pi\) | |||||||
\(434\) | 23.9886 | + | 17.9213i | 1.15149 | + | 0.860248i | ||||
\(435\) | 3.32418 | + | 0.431114i | 0.159382 | + | 0.0206703i | ||||
\(436\) | −24.5077 | −1.17371 | ||||||||
\(437\) | 3.20490 | + | 11.9608i | 0.153311 | + | 0.572164i | ||||
\(438\) | 5.33340 | + | 0.393665i | 0.254840 | + | 0.0188101i | ||||
\(439\) | −22.5166 | + | 12.9999i | −1.07466 | + | 0.620453i | −0.929450 | − | 0.368948i | \(-0.879718\pi\) |
−0.145206 | + | 0.989401i | \(0.546385\pi\) | |||||||
\(440\) | 6.99658 | + | 7.81647i | 0.333549 | + | 0.372635i | ||||
\(441\) | −7.85580 | + | 19.4753i | −0.374086 | + | 0.927394i | ||||
\(442\) | 24.9868 | + | 24.9868i | 1.18850 | + | 1.18850i | ||||
\(443\) | 8.37777 | − | 31.2662i | 0.398040 | − | 1.48550i | −0.418501 | − | 0.908216i | \(-0.637444\pi\) |
0.816541 | − | 0.577288i | \(-0.195889\pi\) | |||||||
\(444\) | 47.9846 | − | 9.13497i | 2.27725 | − | 0.433526i | ||||
\(445\) | −29.6378 | − | 19.3708i | −1.40497 | − | 0.918266i | ||||
\(446\) | − | 30.8063i | − | 1.45872i | ||||||
\(447\) | −29.0588 | + | 14.0342i | −1.37443 | + | 0.663794i | ||||
\(448\) | 31.0133 | − | 4.48981i | 1.46524 | − | 0.212124i | ||||
\(449\) | 35.6339 | 1.68167 | 0.840833 | − | 0.541295i | \(-0.182066\pi\) | ||||
0.840833 | + | 0.541295i | \(0.182066\pi\) | |||||||
\(450\) | 30.5486 | − | 17.7948i | 1.44007 | − | 0.838853i | ||||
\(451\) | −5.40435 | − | 9.36060i | −0.254481 | − | 0.440773i | ||||
\(452\) | −4.90333 | + | 4.90333i | −0.230633 | + | 0.230633i | ||||
\(453\) | −22.8577 | + | 11.0393i | −1.07395 | + | 0.518673i | ||||
\(454\) | 29.6310 | − | 17.1075i | 1.39065 | − | 0.802893i | ||||
\(455\) | −15.7678 | − | 2.76057i | −0.739206 | − | 0.129418i | ||||
\(456\) | 20.6416 | + | 23.9316i | 0.966631 | + | 1.12070i | ||||
\(457\) | −1.57069 | + | 5.86191i | −0.0734740 | + | 0.274209i | −0.992883 | − | 0.119094i | \(-0.962001\pi\) |
0.919409 | + | 0.393303i | \(0.128668\pi\) | |||||||
\(458\) | −13.1771 | + | 49.1777i | −0.615727 | + | 2.29792i | ||||
\(459\) | 13.3679 | − | 25.5007i | 0.623960 | − | 1.19027i | ||||
\(460\) | −19.3506 | + | 4.05382i | −0.902227 | + | 0.189011i | ||||
\(461\) | 6.25289 | + | 3.61011i | 0.291226 | + | 0.168139i | 0.638495 | − | 0.769626i | \(-0.279557\pi\) |
−0.347269 | + | 0.937766i | \(0.612891\pi\) | |||||||
\(462\) | −13.0715 | + | 4.50499i | −0.608142 | + | 0.209591i | ||||
\(463\) | 14.0045 | + | 3.75250i | 0.650845 | + | 0.174393i | 0.569111 | − | 0.822261i | \(-0.307288\pi\) |
0.0817339 | + | 0.996654i | \(0.473954\pi\) | |||||||
\(464\) | −1.32233 | −0.0613879 | ||||||||
\(465\) | 18.4433 | + | 2.39191i | 0.855289 | + | 0.110922i | ||||
\(466\) | 28.2498 | 1.30865 | ||||||||
\(467\) | 4.73224 | + | 17.6610i | 0.218982 | + | 0.817252i | 0.984727 | + | 0.174107i | \(0.0557040\pi\) |
−0.765745 | + | 0.643145i | \(0.777629\pi\) | |||||||
\(468\) | 28.6681 | − | 3.29530i | 1.32519 | − | 0.152325i | ||||
\(469\) | −8.59528 | − | 20.0181i | −0.396893 | − | 0.924349i | ||||
\(470\) | 25.5043 | − | 39.0222i | 1.17643 | − | 1.79996i | ||||
\(471\) | −7.45298 | + | 6.42838i | −0.343415 | + | 0.296204i | ||||
\(472\) | −8.02735 | + | 2.15092i | −0.369489 | + | 0.0990042i | ||||
\(473\) | 12.0823 | − | 3.23744i | 0.555545 | − | 0.148858i | ||||
\(474\) | −19.4335 | + | 16.7619i | −0.892613 | + | 0.769900i | ||||
\(475\) | −20.0531 | − | 14.7499i | −0.920101 | − | 0.676773i | ||||
\(476\) | 31.1918 | − | 41.7518i | 1.42967 | − | 1.91369i | ||||
\(477\) | −14.9810 | − | 20.2034i | −0.685932 | − | 0.925052i | ||||
\(478\) | −2.41569 | − | 9.01550i | −0.110491 | − | 0.412359i | ||||
\(479\) | 7.62275 | 0.348292 | 0.174146 | − | 0.984720i | \(-0.444284\pi\) | ||||
0.174146 | + | 0.984720i | \(0.444284\pi\) | |||||||
\(480\) | 11.4403 | − | 8.81359i | 0.522177 | − | 0.402283i | ||||
\(481\) | −21.4650 | −0.978718 | ||||||||
\(482\) | −42.4786 | − | 11.3821i | −1.93485 | − | 0.518441i | ||||
\(483\) | 2.17161 | − | 11.1887i | 0.0988116 | − | 0.509105i | ||||
\(484\) | 28.8206 | + | 16.6396i | 1.31003 | + | 0.756345i | ||||
\(485\) | 3.23488 | + | 15.4414i | 0.146888 | + | 0.701160i | ||||
\(486\) | −14.8809 | − | 33.5919i | −0.675011 | − | 1.52376i | ||||
\(487\) | −0.529288 | + | 1.97533i | −0.0239843 | + | 0.0895106i | −0.976881 | − | 0.213786i | \(-0.931421\pi\) |
0.952896 | + | 0.303296i | \(0.0980872\pi\) | |||||||
\(488\) | −4.86910 | + | 18.1717i | −0.220414 | + | 0.822596i | ||||
\(489\) | 5.30113 | + | 6.14606i | 0.239725 | + | 0.277935i | ||||
\(490\) | −1.08991 | + | 36.8752i | −0.0492372 | + | 1.66585i | ||||
\(491\) | 37.5816 | − | 21.6977i | 1.69603 | − | 0.979205i | 0.746581 | − | 0.665294i | \(-0.231694\pi\) |
0.949452 | − | 0.313911i | \(-0.101639\pi\) | |||||||
\(492\) | 46.8162 | − | 22.6103i | 2.11064 | − | 1.01935i | ||||
\(493\) | 3.39108 | − | 3.39108i | 0.152727 | − | 0.152727i | ||||
\(494\) | −15.8753 | − | 27.4967i | −0.714261 | − | 1.23714i | ||||
\(495\) | −5.70251 | + | 6.42044i | −0.256309 | + | 0.288577i | ||||
\(496\) | −7.33661 | −0.329424 | ||||||||
\(497\) | 11.8315 | − | 1.71286i | 0.530717 | − | 0.0768322i | ||||
\(498\) | 51.4259 | − | 24.8365i | 2.30445 | − | 1.11295i | ||||
\(499\) | − | 17.8670i | − | 0.799836i | −0.916551 | − | 0.399918i | \(-0.869039\pi\) | ||
0.916551 | − | 0.399918i | \(-0.130961\pi\) | |||||||
\(500\) | 25.2836 | − | 30.6670i | 1.13072 | − | 1.37147i | ||||
\(501\) | −2.13096 | + | 0.405677i | −0.0952043 | + | 0.0181243i | ||||
\(502\) | 1.43553 | − | 5.35749i | 0.0640710 | − | 0.239116i | ||||
\(503\) | −8.21039 | − | 8.21039i | −0.366083 | − | 0.366083i | 0.499963 | − | 0.866047i | \(-0.333347\pi\) |
−0.866047 | + | 0.499963i | \(0.833347\pi\) | |||||||
\(504\) | −7.42810 | − | 28.1248i | −0.330874 | − | 1.25278i | ||||
\(505\) | 4.21287 | + | 0.233177i | 0.187470 | + | 0.0103763i | ||||
\(506\) | 6.49860 | − | 3.75197i | 0.288898 | − | 0.166795i | ||||
\(507\) | 9.80916 | + | 0.724027i | 0.435640 | + | 0.0321552i | ||||
\(508\) | 14.8174 | + | 55.2994i | 0.657417 | + | 2.45351i | ||||
\(509\) | −2.77081 | −0.122814 | −0.0614069 | − | 0.998113i | \(-0.519559\pi\) | ||||
−0.0614069 | + | 0.998113i | \(0.519559\pi\) | |||||||
\(510\) | 6.50523 | − | 50.1599i | 0.288056 | − | 2.22112i | ||||
\(511\) | −0.408138 | + | 3.44191i | −0.0180549 | + | 0.152261i | ||||
\(512\) | −11.9472 | + | 11.9472i | −0.527995 | + | 0.527995i | ||||
\(513\) | −17.5322 | + | 19.0233i | −0.774066 | + | 0.839898i | ||||
\(514\) | −51.6560 | + | 29.8236i | −2.27845 | + | 1.31546i | ||||
\(515\) | −14.2600 | − | 15.9311i | −0.628372 | − | 0.702007i | ||||
\(516\) | 11.2520 | + | 59.1050i | 0.495341 | + | 2.60195i | ||||
\(517\) | −2.93068 | + | 10.9374i | −0.128891 | + | 0.481028i | ||||
\(518\) | 7.08766 | + | 48.9579i | 0.311414 | + | 2.15109i | ||||
\(519\) | 0.449670 | + | 2.36205i | 0.0197383 | + | 0.103682i | ||||
\(520\) | 19.7864 | − | 10.0087i | 0.867692 | − | 0.438911i | ||||
\(521\) | −23.2730 | + | 13.4367i | −1.01961 | + | 0.588671i | −0.913991 | − | 0.405735i | \(-0.867015\pi\) |
−0.105618 | + | 0.994407i | \(0.533682\pi\) | |||||||
\(522\) | −0.698824 | − | 6.07957i | −0.0305867 | − | 0.266096i | ||||
\(523\) | 6.14693 | + | 22.9406i | 0.268786 | + | 1.00312i | 0.959892 | + | 0.280370i | \(0.0904573\pi\) |
−0.691105 | + | 0.722754i | \(0.742876\pi\) | |||||||
\(524\) | −34.8184 | + | 60.3073i | −1.52105 | + | 2.63454i | ||||
\(525\) | 10.6438 | + | 20.2906i | 0.464534 | + | 0.885555i | ||||
\(526\) | −24.0450 | − | 41.6472i | −1.04841 | − | 1.81590i | ||||
\(527\) | 18.8145 | − | 18.8145i | 0.819572 | − | 0.819572i | ||||
\(528\) | 1.90514 | − | 2.80108i | 0.0829107 | − | 0.121901i | ||||
\(529\) | − | 16.8141i | − | 0.731048i | ||||||
\(530\) | −36.9857 | − | 24.1733i | −1.60656 | − | 1.05002i | ||||
\(531\) | −2.49955 | − | 6.32696i | −0.108471 | − | 0.274567i | ||||
\(532\) | −36.7808 | + | 28.9826i | −1.59465 | + | 1.25656i | ||||
\(533\) | −22.0680 | + | 5.91310i | −0.955871 | + | 0.256125i | ||||
\(534\) | −21.2807 | + | 61.0365i | −0.920908 | + | 2.64131i | ||||
\(535\) | 16.8483 | − | 3.52962i | 0.728418 | − | 0.152599i | ||||
\(536\) | 26.1341 | + | 15.0885i | 1.12882 | + | 0.651726i | ||||
\(537\) | −5.87130 | − | 3.99334i | −0.253365 | − | 0.172325i | ||||
\(538\) | 2.17040 | + | 8.10003i | 0.0935724 | + | 0.349217i | ||||
\(539\) | −2.54125 | − | 8.59287i | −0.109460 | − | 0.370121i | ||||
\(540\) | −28.7797 | − | 29.6282i | −1.23848 | − | 1.27499i | ||||
\(541\) | 15.2050 | − | 26.3358i | 0.653713 | − | 1.13226i | −0.328501 | − | 0.944504i | \(-0.606543\pi\) |
0.982215 | − | 0.187761i | \(-0.0601232\pi\) | |||||||
\(542\) | 38.1177 | − | 38.1177i | 1.63730 | − | 1.63730i | ||||
\(543\) | −15.2793 | + | 7.37926i | −0.655698 | + | 0.316674i | ||||
\(544\) | − | 20.6615i | − | 0.885855i | ||||||
\(545\) | −6.95811 | − | 13.7556i | −0.298053 | − | 0.589226i | ||||
\(546\) | 2.04677 | + | 29.1525i | 0.0875938 | + | 1.24761i | ||||
\(547\) | 36.6495 | − | 9.82020i | 1.56702 | − | 0.419881i | 0.632141 | − | 0.774853i | \(-0.282176\pi\) |
0.934877 | + | 0.354972i | \(0.115510\pi\) | |||||||
\(548\) | −17.0014 | + | 4.55551i | −0.726264 | + | 0.194602i | ||||
\(549\) | −15.2328 | − | 2.26103i | −0.650121 | − | 0.0964983i | ||||
\(550\) | −5.48865 | + | 14.0515i | −0.234037 | + | 0.599159i | ||||
\(551\) | −3.73172 | + | 2.15451i | −0.158977 | + | 0.0917851i | ||||
\(552\) | 6.86605 | + | 14.2167i | 0.292238 | + | 0.605102i | ||||
\(553\) | −10.2945 | − | 13.0643i | −0.437765 | − | 0.555551i | ||||
\(554\) | 6.77644 | + | 11.7371i | 0.287903 | + | 0.498663i | ||||
\(555\) | 18.7508 | + | 24.3391i | 0.795927 | + | 1.03314i | ||||
\(556\) | −59.9837 | −2.54388 | ||||||||
\(557\) | 19.2153 | + | 5.14872i | 0.814178 | + | 0.218158i | 0.641800 | − | 0.766872i | \(-0.278188\pi\) |
0.172379 | + | 0.985031i | \(0.444855\pi\) | |||||||
\(558\) | −3.87723 | − | 33.7308i | −0.164136 | − | 1.42794i | ||||
\(559\) | − | 26.4394i | − | 1.11827i | ||||||
\(560\) | −5.19346 | − | 7.39791i | −0.219464 | − | 0.312619i | ||||
\(561\) | 2.29760 | + | 12.0689i | 0.0970047 | + | 0.509551i | ||||
\(562\) | 0.302713 | + | 0.302713i | 0.0127692 | + | 0.0127692i | ||||
\(563\) | −19.3557 | + | 5.18633i | −0.815744 | + | 0.218578i | −0.642485 | − | 0.766298i | \(-0.722096\pi\) |
−0.173259 | + | 0.984876i | \(0.555430\pi\) | |||||||
\(564\) | −51.4291 | − | 17.9311i | −2.16556 | − | 0.755034i | ||||
\(565\) | −4.14425 | − | 1.36000i | −0.174350 | − | 0.0572156i | ||||
\(566\) | − | 46.2611i | − | 1.94450i | ||||||
\(567\) | 22.1774 | − | 8.66972i | 0.931362 | − | 0.364094i | ||||
\(568\) | −11.7096 | + | 11.7096i | −0.491324 | + | 0.491324i | ||||
\(569\) | 13.4398 | + | 23.2785i | 0.563427 | + | 0.975885i | 0.997194 | + | 0.0748595i | \(0.0238508\pi\) |
−0.433767 | + | 0.901025i | \(0.642816\pi\) | |||||||
\(570\) | −17.3107 | + | 42.0208i | −0.725064 | + | 1.76006i | ||||
\(571\) | 4.07938 | − | 7.06569i | 0.170717 | − | 0.295690i | −0.767954 | − | 0.640505i | \(-0.778725\pi\) |
0.938671 | + | 0.344815i | \(0.112058\pi\) | |||||||
\(572\) | −8.70685 | + | 8.70685i | −0.364052 | + | 0.364052i | ||||
\(573\) | −6.67569 | + | 9.81509i | −0.278881 | + | 0.410031i | ||||
\(574\) | 20.7735 | + | 48.3808i | 0.867071 | + | 2.01937i | ||||
\(575\) | −7.76924 | − | 9.71011i | −0.324000 | − | 0.404939i | ||||
\(576\) | −27.8299 | − | 22.0916i | −1.15958 | − | 0.920485i | ||||
\(577\) | 2.82313 | − | 10.5361i | 0.117529 | − | 0.438622i | −0.881935 | − | 0.471371i | \(-0.843759\pi\) |
0.999464 | + | 0.0327484i | \(0.0104260\pi\) | |||||||
\(578\) | −22.8375 | − | 22.8375i | −0.949913 | − | 0.949913i | ||||
\(579\) | −6.81066 | − | 7.89619i | −0.283041 | − | 0.328155i | ||||
\(580\) | −3.10542 | − | 6.13917i | −0.128945 | − | 0.254915i | ||||
\(581\) | 14.6033 | + | 34.0105i | 0.605846 | + | 1.41099i | ||||
\(582\) | 25.9362 | − | 12.5261i | 1.07509 | − | 0.519222i | ||||
\(583\) | 10.3666 | + | 2.77773i | 0.429342 | + | 0.115042i | ||||
\(584\) | −2.40057 | − | 4.15791i | −0.0993362 | − | 0.172055i | ||||
\(585\) | 9.98888 | + | 15.1552i | 0.412989 | + | 0.626590i | ||||
\(586\) | 3.52371 | − | 6.10324i | 0.145563 | − | 0.252123i | ||||
\(587\) | −2.61149 | − | 9.74620i | −0.107788 | − | 0.402269i | 0.890859 | − | 0.454280i | \(-0.150103\pi\) |
−0.998646 | + | 0.0520114i | \(0.983437\pi\) | |||||||
\(588\) | 42.1197 | − | 9.14787i | 1.73699 | − | 0.377252i | ||||
\(589\) | −20.7044 | + | 11.9537i | −0.853110 | + | 0.492543i | ||||
\(590\) | −7.97049 | − | 8.90450i | −0.328140 | − | 0.366592i | ||||
\(591\) | 9.31501 | − | 26.7169i | 0.383168 | − | 1.09899i | ||||
\(592\) | −8.57041 | − | 8.57041i | −0.352242 | − | 0.352242i | ||||
\(593\) | −3.62279 | + | 0.970723i | −0.148770 | + | 0.0398628i | −0.332436 | − | 0.943126i | \(-0.607870\pi\) |
0.183665 | + | 0.982989i | \(0.441204\pi\) | |||||||
\(594\) | 13.8851 | + | 7.27879i | 0.569712 | + | 0.298652i | ||||
\(595\) | 32.2901 | + | 5.65325i | 1.32377 | + | 0.231761i | ||||
\(596\) | 57.3599 | + | 33.1168i | 2.34955 | + | 1.35652i | ||||
\(597\) | −23.5681 | + | 34.6515i | −0.964577 | + | 1.41819i | ||||
\(598\) | −4.10517 | − | 15.3207i | −0.167873 | − | 0.626510i | ||||
\(599\) | 0.364072 | − | 0.630591i | 0.0148756 | − | 0.0257653i | −0.858492 | − | 0.512827i | \(-0.828598\pi\) |
0.873367 | + | 0.487062i | \(0.161931\pi\) | |||||||
\(600\) | −28.6334 | − | 13.6927i | −1.16895 | − | 0.559001i | ||||
\(601\) | 12.1073 | − | 20.9704i | 0.493865 | − | 0.855399i | −0.506110 | − | 0.862469i | \(-0.668917\pi\) |
0.999975 | + | 0.00706959i | \(0.00225034\pi\) | |||||||
\(602\) | −60.3038 | + | 8.73022i | −2.45780 | + | 0.355817i | ||||
\(603\) | −9.82741 | + | 22.6633i | −0.400203 | + | 0.922921i | ||||
\(604\) | 45.1195 | + | 26.0497i | 1.83588 | + | 1.05995i | ||||
\(605\) | −1.15682 | + | 20.9006i | −0.0470315 | + | 0.849728i | ||||
\(606\) | −1.44056 | − | 7.56707i | −0.0585189 | − | 0.307391i | ||||
\(607\) | 7.68234 | + | 7.68234i | 0.311817 | + | 0.311817i | 0.845613 | − | 0.533796i | \(-0.179235\pi\) |
−0.533796 | + | 0.845613i | \(0.679235\pi\) | |||||||
\(608\) | −4.80488 | + | 17.9321i | −0.194864 | + | 0.727242i | ||||
\(609\) | 3.95643 | − | 0.277778i | 0.160323 | − | 0.0112561i | ||||
\(610\) | −26.4783 | + | 5.54703i | −1.07208 | + | 0.224593i | ||||
\(611\) | 20.7276 | + | 11.9671i | 0.838548 | + | 0.484136i | ||||
\(612\) | −58.7081 | + | 6.74828i | −2.37314 | + | 0.272783i | ||||
\(613\) | 38.2637 | + | 10.2527i | 1.54546 | + | 0.414104i | 0.928025 | − | 0.372519i | \(-0.121506\pi\) |
0.617434 | + | 0.786623i | \(0.288172\pi\) | |||||||
\(614\) | −2.69909 | − | 4.67497i | −0.108927 | − | 0.188666i | ||||
\(615\) | 25.9824 | + | 19.8575i | 1.04771 | + | 0.800731i | ||||
\(616\) | 9.94391 | + | 7.42884i | 0.400652 | + | 0.299317i | ||||
\(617\) | −14.4344 | − | 3.86769i | −0.581107 | − | 0.155707i | −0.0437214 | − | 0.999044i | \(-0.513921\pi\) |
−0.537386 | + | 0.843337i | \(0.680588\pi\) | |||||||
\(618\) | −21.9525 | + | 32.2762i | −0.883060 | + | 1.29834i | ||||
\(619\) | 10.5343i | 0.423408i | 0.977334 | + | 0.211704i | \(0.0679013\pi\) | ||||
−0.977334 | + | 0.211704i | \(0.932099\pi\) | |||||||
\(620\) | −17.2296 | − | 34.0615i | −0.691955 | − | 1.36794i | ||||
\(621\) | −10.9195 | + | 6.91256i | −0.438185 | + | 0.277391i | ||||
\(622\) | 21.8402 | + | 21.8402i | 0.875712 | + | 0.875712i | ||||
\(623\) | −38.9079 | − | 15.5325i | −1.55881 | − | 0.622297i | ||||
\(624\) | −4.67669 | − | 5.42209i | −0.187217 | − | 0.217057i | ||||
\(625\) | 24.3910 | + | 5.48428i | 0.975641 | + | 0.219371i | ||||
\(626\) | −25.5126 | − | 14.7297i | −1.01969 | − | 0.588717i | ||||
\(627\) | 0.812583 | − | 11.0089i | 0.0324514 | − | 0.439654i | ||||
\(628\) | 19.5126 | + | 5.22839i | 0.778638 | + | 0.208635i | ||||
\(629\) | 43.9571 | 1.75268 | ||||||||
\(630\) | 31.2681 | − | 27.7871i | 1.24575 | − | 1.10706i | ||||
\(631\) | 12.8653 | 0.512159 | 0.256079 | − | 0.966656i | \(-0.417569\pi\) | ||||
0.256079 | + | 0.966656i | \(0.417569\pi\) | |||||||
\(632\) | 22.2548 | + | 5.96314i | 0.885247 | + | 0.237201i | ||||
\(633\) | 3.48368 | + | 2.36941i | 0.138464 | + | 0.0941758i | ||||
\(634\) | 40.1852 | + | 23.2009i | 1.59596 | + | 0.921426i | ||||
\(635\) | −26.8314 | + | 24.0170i | −1.06477 | + | 0.953085i | ||||
\(636\) | −16.9953 | + | 48.7451i | −0.673906 | + | 1.93287i | ||||
\(637\) | −18.9342 | + | 0.487555i | −0.750201 | + | 0.0193176i | ||||
\(638\) | 1.84644 | + | 1.84644i | 0.0731011 | + | 0.0731011i | ||||
\(639\) | −10.6171 | − | 8.42794i | −0.420006 | − | 0.333404i | ||||
\(640\) | −43.4643 | − | 14.2635i | −1.71808 | − | 0.563813i | ||||
\(641\) | − | 19.6066i | − | 0.774414i | −0.921993 | − | 0.387207i | \(-0.873440\pi\) | ||
0.921993 | − | 0.387207i | \(-0.126560\pi\) | |||||||
\(642\) | −13.6674 | − | 28.2993i | −0.539407 | − | 1.11688i | ||||
\(643\) | 24.3207 | + | 6.51672i | 0.959115 | + | 0.256994i | 0.704226 | − | 0.709976i | \(-0.251294\pi\) |
0.254889 | + | 0.966970i | \(0.417961\pi\) | |||||||
\(644\) | −21.4953 | + | 9.22955i | −0.847032 | + | 0.363695i | ||||
\(645\) | −29.9797 | + | 23.0962i | −1.18045 | + | 0.909414i | ||||
\(646\) | 32.5102 | + | 56.3093i | 1.27910 | + | 2.21546i | ||||
\(647\) | −3.37371 | − | 0.903984i | −0.132634 | − | 0.0355393i | 0.191891 | − | 0.981416i | \(-0.438538\pi\) |
−0.324525 | + | 0.945877i | \(0.605205\pi\) | |||||||
\(648\) | −17.4230 | + | 28.0069i | −0.684441 | + | 1.10021i | ||||
\(649\) | 2.51388 | + | 1.45139i | 0.0986785 | + | 0.0569721i | ||||
\(650\) | 25.6862 | + | 18.8933i | 1.00749 | + | 0.741055i | ||||
\(651\) | 21.9512 | − | 1.54117i | 0.860334 | − | 0.0604033i | ||||
\(652\) | 4.31156 | − | 16.0910i | 0.168854 | − | 0.630171i | ||||
\(653\) | 21.2508 | + | 21.2508i | 0.831610 | + | 0.831610i | 0.987737 | − | 0.156127i | \(-0.0499010\pi\) |
−0.156127 | + | 0.987737i | \(0.549901\pi\) | |||||||
\(654\) | −21.3109 | + | 18.3812i | −0.833323 | + | 0.718762i | ||||
\(655\) | −43.7345 | − | 2.42066i | −1.70885 | − | 0.0945829i | ||||
\(656\) | −11.1721 | − | 6.45024i | −0.436199 | − | 0.251839i | ||||
\(657\) | 3.15691 | − | 2.34087i | 0.123163 | − | 0.0913259i | ||||
\(658\) | 20.4506 | − | 51.2275i | 0.797249 | − | 1.99706i | ||||
\(659\) | −6.28553 | + | 10.8869i | −0.244850 | + | 0.424092i | −0.962089 | − | 0.272735i | \(-0.912072\pi\) |
0.717240 | + | 0.696827i | \(0.245405\pi\) | |||||||
\(660\) | 17.4786 | + | 2.26680i | 0.680353 | + | 0.0882350i | ||||
\(661\) | 15.8811 | − | 27.5069i | 0.617704 | − | 1.06989i | −0.372200 | − | 0.928153i | \(-0.621396\pi\) |
0.989904 | − | 0.141742i | \(-0.0452703\pi\) | |||||||
\(662\) | 3.59490 | + | 13.4164i | 0.139720 | + | 0.521441i | ||||
\(663\) | 25.8980 | + | 1.91156i | 1.00579 | + | 0.0742390i | ||||
\(664\) | −44.4015 | − | 25.6352i | −1.72311 | − | 0.994840i | ||||
\(665\) | −26.7099 | − | 12.4156i | −1.03576 | − | 0.481456i | ||||
\(666\) | 34.8741 | − | 43.9327i | 1.35134 | − | 1.70236i | ||||
\(667\) | −2.07925 | + | 0.557133i | −0.0805088 | + | 0.0215723i | ||||
\(668\) | 3.14823 | + | 3.14823i | 0.121808 | + | 0.121808i | ||||
\(669\) | −14.7864 | − | 17.1432i | −0.571677 | − | 0.662795i | ||||
\(670\) | −2.39820 | + | 43.3289i | −0.0926507 | + | 1.67394i | ||||
\(671\) | 5.69075 | − | 3.28555i | 0.219689 | − | 0.126837i | ||||
\(672\) | 11.2068 | − | 12.8993i | 0.432312 | − | 0.497601i | ||||
\(673\) | 5.01071 | + | 18.7002i | 0.193149 | + | 0.720841i | 0.992738 | + | 0.120294i | \(0.0383837\pi\) |
−0.799590 | + | 0.600547i | \(0.794950\pi\) | |||||||
\(674\) | 33.6340 | − | 58.2558i | 1.29553 | − | 2.24393i | ||||
\(675\) | 8.45864 | − | 24.5652i | 0.325573 | − | 0.945517i | ||||
\(676\) | −10.0938 | − | 17.4830i | −0.388225 | − | 0.672425i | ||||
\(677\) | −11.4863 | − | 3.07774i | −0.441454 | − | 0.118287i | 0.0312437 | − | 0.999512i | \(-0.490053\pi\) |
−0.472698 | + | 0.881224i | \(0.656720\pi\) | |||||||
\(678\) | −0.586159 | + | 7.94131i | −0.0225113 | + | 0.304984i | ||||
\(679\) | 7.36502 | + | 17.1528i | 0.282643 | + | 0.658266i | ||||
\(680\) | −40.5197 | + | 20.4963i | −1.55386 | + | 0.785999i | ||||
\(681\) | 8.27792 | − | 23.7424i | 0.317211 | − | 0.909809i | ||||
\(682\) | 10.2444 | + | 10.2444i | 0.392280 | + | 0.392280i | ||||
\(683\) | 4.36812 | − | 16.3020i | 0.167141 | − | 0.623780i | −0.830616 | − | 0.556846i | \(-0.812011\pi\) |
0.997757 | − | 0.0669346i | \(-0.0213219\pi\) | |||||||
\(684\) | 52.5220 | + | 7.79590i | 2.00823 | + | 0.298084i | ||||
\(685\) | −7.38385 | − | 8.24912i | −0.282122 | − | 0.315183i | ||||
\(686\) | 7.36405 | + | 43.0247i | 0.281161 | + | 1.64269i | ||||
\(687\) | 16.2715 | + | 33.6914i | 0.620797 | + | 1.28541i | ||||
\(688\) | 10.5566 | − | 10.5566i | 0.402466 | − | 0.402466i | ||||
\(689\) | 11.3425 | − | 19.6458i | 0.432116 | − | 0.748446i | ||||
\(690\) | −13.7861 | + | 18.0383i | −0.524826 | + | 0.686707i | ||||
\(691\) | −8.29768 | − | 14.3720i | −0.315659 | − | 0.546737i | 0.663919 | − | 0.747805i | \(-0.268892\pi\) |
−0.979577 | + | 0.201068i | \(0.935559\pi\) | |||||||
\(692\) | 3.48963 | − | 3.48963i | 0.132656 | − | 0.132656i | ||||
\(693\) | −5.11178 | + | 8.78104i | −0.194180 | + | 0.333564i | ||||
\(694\) | − | 45.9338i | − | 1.74362i | ||||||
\(695\) | −17.0302 | − | 33.6675i | −0.645994 | − | 1.27708i | ||||
\(696\) | −4.16022 | + | 3.58829i | −0.157693 | + | 0.136014i | ||||
\(697\) | 45.1920 | − | 12.1092i | 1.71177 | − | 0.458667i | ||||
\(698\) | −20.1120 | − | 20.1120i | −0.761250 | − | 0.761250i | ||||
\(699\) | 15.7206 | − | 13.5594i | 0.594606 | − | 0.512863i | ||||
\(700\) | 22.1496 | − | 41.4850i | 0.837175 | − | 1.56799i | ||||
\(701\) | − | 7.83301i | − | 0.295849i | −0.988999 | − | 0.147924i | \(-0.952741\pi\) | ||
0.988999 | − | 0.147924i | \(-0.0472592\pi\) | |||||||
\(702\) | 22.4571 | − | 24.3670i | 0.847589 | − | 0.919674i | ||||
\(703\) | −38.1502 | − | 10.2223i | −1.43886 | − | 0.385542i | ||||
\(704\) | 15.1618 | 0.571431 | ||||||||
\(705\) | −4.53718 | − | 33.9569i | −0.170880 | − | 1.27889i | ||||
\(706\) | −1.84000 | − | 3.18698i | −0.0692494 | − | 0.119943i | ||||
\(707\) | 4.94085 | − | 0.715290i | 0.185820 | − | 0.0269013i | ||||
\(708\) | −7.85240 | + | 11.5452i | −0.295111 | + | 0.433894i | ||||
\(709\) | 37.4602 | − | 21.6277i | 1.40685 | − | 0.812244i | 0.411764 | − | 0.911290i | \(-0.364913\pi\) |
0.995083 | + | 0.0990467i | \(0.0315793\pi\) | |||||||
\(710\) | −22.6262 | − | 7.42514i | −0.849147 | − | 0.278660i | ||||
\(711\) | −2.76906 | + | 18.6555i | −0.103848 | + | 0.699636i | ||||
\(712\) | 56.0538 | − | 15.0196i | 2.10070 | − | 0.562882i | ||||
\(713\) | −11.5361 | + | 3.09110i | −0.432032 | + | 0.115763i | ||||
\(714\) | −4.19149 | − | 59.7000i | −0.156862 | − | 2.23422i | ||||
\(715\) | −7.35895 | − | 2.41495i | −0.275209 | − | 0.0903140i | ||||
\(716\) | 14.5738i | 0.544647i | ||||||||
\(717\) | −5.67157 | − | 3.85749i | −0.211809 | − | 0.144061i | ||||
\(718\) | 43.7542 | − | 43.7542i | 1.63289 | − | 1.63289i | ||||
\(719\) | −5.37492 | + | 9.30964i | −0.200451 | + | 0.347191i | −0.948674 | − | 0.316256i | \(-0.897574\pi\) |
0.748223 | + | 0.663447i | \(0.230907\pi\) | |||||||
\(720\) | −2.06277 | + | 10.0394i | −0.0768750 | + | 0.374146i | ||||
\(721\) | −20.2671 | − | 15.1411i | −0.754787 | − | 0.563882i | ||||
\(722\) | −3.53046 | − | 13.1758i | −0.131390 | − | 0.490354i | ||||
\(723\) | −29.1019 | + | 14.0550i | −1.08231 | + | 0.522710i | ||||
\(724\) | 30.1602 | + | 17.4130i | 1.12090 | + | 0.647149i | ||||
\(725\) | 2.56410 | − | 3.48600i | 0.0952282 | − | 0.129467i | ||||
\(726\) | 37.5412 | − | 7.14682i | 1.39328 | − | 0.265243i | ||||
\(727\) | −51.2698 | + | 13.7377i | −1.90149 | + | 0.509503i | −0.905041 | + | 0.425325i | \(0.860160\pi\) |
−0.996451 | + | 0.0841783i | \(0.973173\pi\) | |||||||
\(728\) | 20.6074 | − | 16.2383i | 0.763761 | − | 0.601831i | ||||
\(729\) | −24.4045 | − | 11.5508i | −0.903870 | − | 0.427808i | ||||
\(730\) | 3.77722 | − | 5.77923i | 0.139801 | − | 0.213899i | ||||
\(731\) | 54.1440i | 2.00259i | ||||||||
\(732\) | 13.7458 | + | 28.4618i | 0.508061 | + | 1.05198i | ||||
\(733\) | −8.66290 | + | 8.66290i | −0.319971 | + | 0.319971i | −0.848756 | − | 0.528785i | \(-0.822648\pi\) |
0.528785 | + | 0.848756i | \(0.322648\pi\) | |||||||
\(734\) | −32.8619 | − | 56.9184i | −1.21295 | − | 2.10090i | ||||
\(735\) | 17.0929 | + | 21.0436i | 0.630481 | + | 0.776205i | ||||
\(736\) | −4.63704 | + | 8.03159i | −0.170924 | + | 0.296048i | ||||
\(737\) | −2.72809 | − | 10.1814i | −0.100491 | − | 0.375036i | ||||
\(738\) | 23.7514 | − | 54.7739i | 0.874302 | − | 2.01625i | ||||
\(739\) | 13.3438 | − | 7.70407i | 0.490861 | − | 0.283399i | −0.234071 | − | 0.972220i | \(-0.575205\pi\) |
0.724932 | + | 0.688821i | \(0.241871\pi\) | |||||||
\(740\) | 19.6626 | − | 59.9167i | 0.722810 | − | 2.20258i | ||||
\(741\) | −22.0323 | − | 7.68168i | −0.809375 | − | 0.282194i | ||||
\(742\) | −48.5540 | − | 19.3833i | −1.78247 | − | 0.711585i | ||||
\(743\) | 2.45987 | − | 9.18037i | 0.0902440 | − | 0.336795i | −0.906011 | − | 0.423253i | \(-0.860888\pi\) |
0.996256 | + | 0.0864578i | \(0.0275548\pi\) | |||||||
\(744\) | −23.0819 | + | 19.9087i | −0.846222 | + | 0.729887i | ||||
\(745\) | −2.30235 | + | 41.5971i | −0.0843517 | + | 1.52400i | ||||
\(746\) | −47.1097 | + | 27.1988i | −1.72481 | + | 0.995818i | ||||
\(747\) | 16.6966 | − | 38.5046i | 0.610898 | − | 1.40881i | ||||
\(748\) | 17.8303 | − | 17.8303i | 0.651942 | − | 0.651942i | ||||
\(749\) | 18.7157 | − | 8.03606i | 0.683856 | − | 0.293631i | ||||
\(750\) | −1.01517 | − | 45.6298i | −0.0370688 | − | 1.66617i | ||||
\(751\) | −15.8952 | −0.580023 | −0.290012 | − | 0.957023i | \(-0.593659\pi\) | ||||
−0.290012 | + | 0.957023i | \(0.593659\pi\) | |||||||
\(752\) | 3.49785 | + | 13.0541i | 0.127553 | + | 0.476035i | ||||
\(753\) | −1.77264 | − | 3.67039i | −0.0645987 | − | 0.133756i | ||||
\(754\) | 4.77998 | − | 2.75972i | 0.174077 | − | 0.100503i | ||||
\(755\) | −1.81104 | + | 32.7204i | −0.0659104 | + | 1.19082i | ||||
\(756\) | −40.3126 | − | 27.6303i | −1.46616 | − | 1.00490i | ||||
\(757\) | −12.4967 | − | 12.4967i | −0.454202 | − | 0.454202i | 0.442545 | − | 0.896746i | \(-0.354076\pi\) |
−0.896746 | + | 0.442545i | \(0.854076\pi\) | |||||||
\(758\) | 8.80901 | − | 32.8757i | 0.319958 | − | 1.19410i | ||||
\(759\) | 1.81549 | − | 5.20712i | 0.0658983 | − | 0.189006i | ||||
\(760\) | 39.9334 | − | 8.36578i | 1.44854 | − | 0.303459i | ||||
\(761\) | 49.9760i | 1.81163i | 0.423676 | + | 0.905814i | \(0.360739\pi\) | ||||
−0.423676 | + | 0.905814i | \(0.639261\pi\) | |||||||
\(762\) | 54.3601 | + | 36.9728i | 1.96926 | + | 1.33938i | ||||
\(763\) | −11.2889 | − | 14.3264i | −0.408687 | − | 0.518650i | ||||
\(764\) | 24.3630 | 0.881424 | ||||||||
\(765\) | −20.4557 | − | 31.0356i | −0.739579 | − | 1.12209i | ||||
\(766\) | 36.3771 | + | 63.0069i | 1.31436 | + | 2.27653i | ||||
\(767\) | 4.33856 | − | 4.33856i | 0.156656 | − | 0.156656i | ||||
\(768\) | −3.12735 | + | 42.3695i | −0.112848 | + | 1.52888i | ||||
\(769\) | −4.70409 | + | 2.71590i | −0.169634 | + | 0.0979380i | −0.582413 | − | 0.812893i | \(-0.697891\pi\) |
0.412779 | + | 0.910831i | \(0.364558\pi\) | |||||||
\(770\) | −3.07818 | + | 17.5819i | −0.110930 | + | 0.633608i | ||||
\(771\) | −14.4310 | + | 41.3903i | −0.519720 | + | 1.49064i | ||||
\(772\) | −5.53931 | + | 20.6730i | −0.199364 | + | 0.744037i | ||||
\(773\) | 8.62680 | − | 32.1957i | 0.310284 | − | 1.15800i | −0.618016 | − | 0.786166i | \(-0.712063\pi\) |
0.928300 | − | 0.371832i | \(-0.121270\pi\) | |||||||
\(774\) | 54.1140 | + | 42.9561i | 1.94509 | + | 1.54403i | ||||
\(775\) | 14.2262 | − | 19.3411i | 0.511020 | − | 0.694753i | ||||
\(776\) | −22.3935 | − | 12.9289i | −0.803879 | − | 0.464120i | ||||
\(777\) | 27.4431 | + | 23.8423i | 0.984514 | + | 0.855339i | ||||
\(778\) | −29.1014 | − | 7.79769i | −1.04334 | − | 0.279561i | ||||
\(779\) | −42.0380 | −1.50617 | ||||||||
\(780\) | 14.1901 | − | 34.4458i | 0.508087 | − | 1.23336i | ||||
\(781\) | 5.78420 | 0.206975 | ||||||||
\(782\) | 8.40678 | + | 31.3745i | 0.300626 | + | 1.12195i | ||||
\(783\) | −3.30697 | − | 3.04777i | −0.118181 | − | 0.108918i | ||||
\(784\) | −7.75462 | − | 7.36528i | −0.276951 | − | 0.263046i | ||||
\(785\) | 2.60534 | + | 12.4364i | 0.0929886 | + | 0.443874i | ||||
\(786\) | 14.9548 | + | 78.5551i | 0.533418 | + | 2.80197i | ||||
\(787\) | 10.6486 | − | 2.85329i | 0.379582 | − | 0.101709i | −0.0639827 | − | 0.997951i | \(-0.520380\pi\) |
0.443565 | + | 0.896242i | \(0.353714\pi\) | |||||||
\(788\) | −56.0940 | + | 15.0303i | −1.99826 | + | 0.535433i | ||||
\(789\) | −33.3705 | − | 11.6348i | −1.18802 | − | 0.414211i | ||||
\(790\) | 6.79339 | + | 32.4277i | 0.241698 | + | 1.15373i | ||||
\(791\) | −5.12493 | − | 0.607707i | −0.182222 | − | 0.0216076i | ||||
\(792\) | −1.60722 | − | 13.9823i | −0.0571100 | − | 0.496841i | ||||
\(793\) | −3.59485 | − | 13.4162i | −0.127657 | − | 0.476422i | ||||
\(794\) | 57.8610 | 2.05341 | ||||||||
\(795\) | −32.1847 | + | 4.30039i | −1.14147 | + | 0.152519i | ||||
\(796\) | 86.0120 | 3.04861 | ||||||||
\(797\) | 35.0805 | + | 9.39979i | 1.24261 | + | 0.332958i | 0.819479 | − | 0.573109i | \(-0.194263\pi\) |
0.423136 | + | 0.906066i | \(0.360929\pi\) | |||||||
\(798\) | −10.2456 | + | 52.7883i | −0.362691 | + | 1.86868i | ||||
\(799\) | −42.4470 | − | 24.5068i | −1.50167 | − | 0.866988i | ||||
\(800\) | −2.80852 | − | 18.4313i | −0.0992961 | − | 0.651644i | ||||
\(801\) | 17.4540 | + | 44.1802i | 0.616707 | + | 1.56103i | ||||
\(802\) | −7.33181 | + | 27.3627i | −0.258895 | + | 0.966210i | ||||
\(803\) | −0.434037 | + | 1.61985i | −0.0153168 | + | 0.0571631i | ||||
\(804\) | 49.8060 | − | 9.48170i | 1.75652 | − | 0.334394i | ||||
\(805\) | −11.2832 | − | 9.44439i | −0.397679 | − | 0.332871i | ||||
\(806\) | 26.5204 | − | 15.3116i | 0.934141 | − | 0.539327i | ||||
\(807\) | 5.09566 | + | 3.46579i | 0.179376 | + | 0.122002i | ||||
\(808\) | −4.88994 | + | 4.88994i | −0.172027 | + | 0.172027i | ||||
\(809\) | 11.4468 | + | 19.8265i | 0.402448 | + | 0.697061i | 0.994021 | − | 0.109191i | \(-0.0348259\pi\) |
−0.591572 | + | 0.806252i | \(0.701493\pi\) | |||||||
\(810\) | −47.2473 | − | 4.17823i | −1.66010 | − | 0.146808i | ||||
\(811\) | 24.1071 | 0.846513 | 0.423257 | − | 0.906010i | \(-0.360887\pi\) | ||||
0.423257 | + | 0.906010i | \(0.360887\pi\) | |||||||
\(812\) | −5.03828 | − | 6.39389i | −0.176809 | − | 0.224382i | ||||
\(813\) | 2.91612 | − | 39.5078i | 0.102273 | − | 1.38560i | ||||
\(814\) | 23.9345i | 0.838905i | ||||||||
\(815\) | 10.2556 | − | 2.14848i | 0.359238 | − | 0.0752580i | ||||
\(816\) | 9.57717 | + | 11.1036i | 0.335268 | + | 0.388705i | ||||
\(817\) | 12.5913 | − | 46.9915i | 0.440515 | − | 1.64402i | ||||
\(818\) | 2.66658 | + | 2.66658i | 0.0932347 | + | 0.0932347i | ||||
\(819\) | 15.1317 | + | 15.2405i | 0.528743 | + | 0.532546i | ||||
\(820\) | 3.70929 | − | 67.0165i | 0.129534 | − | 2.34032i | ||||
\(821\) | 0.0515371 | − | 0.0297550i | 0.00179866 | − | 0.00103846i | −0.499100 | − | 0.866544i | \(-0.666336\pi\) |
0.500899 | + | 0.865506i | \(0.333003\pi\) | |||||||
\(822\) | −11.3670 | + | 16.7126i | −0.396470 | + | 0.582919i | ||||
\(823\) | 1.84168 | + | 6.87325i | 0.0641970 | + | 0.239586i | 0.990567 | − | 0.137028i | \(-0.0437549\pi\) |
−0.926370 | + | 0.376614i | \(0.877088\pi\) | |||||||
\(824\) | 35.0433 | 1.22079 | ||||||||
\(825\) | 3.69013 | + | 10.4539i | 0.128474 | + | 0.363958i | ||||
\(826\) | −11.3281 | − | 8.46292i | −0.394154 | − | 0.294463i | ||||
\(827\) | 16.5061 | − | 16.5061i | 0.573974 | − | 0.573974i | −0.359263 | − | 0.933237i | \(-0.616972\pi\) |
0.933237 | + | 0.359263i | \(0.116972\pi\) | |||||||
\(828\) | 24.3357 | + | 10.5526i | 0.845724 | + | 0.366728i | ||||
\(829\) | −17.1554 | + | 9.90466i | −0.595831 | + | 0.344003i | −0.767400 | − | 0.641169i | \(-0.778450\pi\) |
0.171569 | + | 0.985172i | \(0.445116\pi\) | |||||||
\(830\) | 4.07452 | − | 73.6152i | 0.141429 | − | 2.55522i | ||||
\(831\) | 9.40459 | + | 3.27897i | 0.326242 | + | 0.113746i | ||||
\(832\) | 8.29453 | − | 30.9556i | 0.287561 | − | 1.07319i | ||||
\(833\) | 38.7745 | − | 0.998441i | 1.34346 | − | 0.0345939i | ||||
\(834\) | −52.1594 | + | 44.9887i | −1.80613 | + | 1.55783i | ||||
\(835\) | −0.873199 | + | 2.66085i | −0.0302183 | + | 0.0920826i | ||||
\(836\) | −19.6214 | + | 11.3284i | −0.678620 | + | 0.391802i | ||||
\(837\) | −18.3478 | − | 16.9097i | −0.634193 | − | 0.584484i | ||||
\(838\) | 4.50227 | + | 16.8027i | 0.155528 | + | 0.580439i | ||||
\(839\) | −3.97076 | + | 6.87756i | −0.137086 | + | 0.237440i | −0.926392 | − | 0.376560i | \(-0.877107\pi\) |
0.789306 | + | 0.613999i | \(0.210440\pi\) | |||||||
\(840\) | −36.4143 | − | 9.18172i | −1.25641 | − | 0.316799i | ||||
\(841\) | 14.1255 | + | 24.4660i | 0.487085 | + | 0.843656i | ||||
\(842\) | 46.8402 | − | 46.8402i | 1.61422 | − | 1.61422i | ||||
\(843\) | 0.313752 | + | 0.0231585i | 0.0108062 | + | 0.000797620i | ||||
\(844\) | − | 8.64721i | − | 0.297649i | ||||||
\(845\) | 6.94704 | − | 10.6291i | 0.238985 | − | 0.365653i | ||||
\(846\) | −58.1692 | + | 22.9805i | −1.99990 | + | 0.790087i | ||||
\(847\) | 3.54865 | + | 24.5122i | 0.121933 | + | 0.842249i | ||||
\(848\) | 12.3729 | − | 3.31530i | 0.424886 | − | 0.113848i | ||||
\(849\) | −22.2045 | − | 25.7436i | −0.762055 | − | 0.883517i | ||||
\(850\) | −52.6015 | − | 38.6906i | −1.80422 | − | 1.32708i | ||||
\(851\) | −17.0871 | − | 9.86525i | −0.585738 | − | 0.338176i | ||||
\(852\) | −2.04802 | + | 27.7468i | −0.0701641 | + | 0.950588i | ||||
\(853\) | −5.08771 | − | 18.9876i | −0.174200 | − | 0.650123i | −0.996687 | − | 0.0813385i | \(-0.974081\pi\) |
0.822487 | − | 0.568785i | \(-0.192586\pi\) | |||||||
\(854\) | −29.4129 | + | 12.6292i | −1.00649 | + | 0.432163i | ||||
\(855\) | 10.5361 | + | 31.6927i | 0.360327 | + | 1.08387i | ||||
\(856\) | −14.1069 | + | 24.4338i | −0.482163 | + | 0.835130i | ||||
\(857\) | −24.8592 | + | 24.8592i | −0.849174 | + | 0.849174i | −0.990030 | − | 0.140856i | \(-0.955015\pi\) |
0.140856 | + | 0.990030i | \(0.455015\pi\) | |||||||
\(858\) | −1.04084 | + | 14.1014i | −0.0355338 | + | 0.481414i | ||||
\(859\) | − | 20.4947i | − | 0.699269i | −0.936886 | − | 0.349635i | \(-0.886306\pi\) | ||
0.936886 | − | 0.349635i | \(-0.113694\pi\) | |||||||
\(860\) | 73.8022 | + | 24.2193i | 2.51664 | + | 0.825872i | ||||
\(861\) | 34.7820 | + | 16.9522i | 1.18537 | + | 0.577731i | ||||
\(862\) | 36.9705 | − | 9.90621i | 1.25922 | − | 0.337407i | ||||
\(863\) | −12.6727 | + | 3.39564i | −0.431384 | + | 0.115589i | −0.467976 | − | 0.883741i | \(-0.655016\pi\) |
0.0365919 | + | 0.999330i | \(0.488350\pi\) | |||||||
\(864\) | −19.3594 | + | 0.789648i | −0.658619 | + | 0.0268644i | ||||
\(865\) | 2.94940 | + | 0.967891i | 0.100283 | + | 0.0329093i | ||||
\(866\) | 23.2415 | − | 13.4185i | 0.789780 | − | 0.455979i | ||||
\(867\) | −23.6703 | − | 1.74713i | −0.803884 | − | 0.0593357i | ||||
\(868\) | −27.9535 | − | 35.4748i | −0.948804 | − | 1.20409i | ||||
\(869\) | −4.02379 | − | 6.96940i | −0.136498 | − | 0.236421i | ||||
\(870\) | −7.30482 | − | 3.00925i | −0.247656 | − | 0.102023i | ||||
\(871\) | −22.2797 | −0.754918 | ||||||||
\(872\) | 24.4047 | + | 6.53921i | 0.826447 | + | 0.221446i | ||||
\(873\) | 8.42079 | − | 19.4194i | 0.285000 | − | 0.657249i | ||||
\(874\) | − | 29.1849i | − | 0.987194i | ||||||
\(875\) | 29.5732 | + | 0.653838i | 0.999756 | + | 0.0221038i | ||||
\(876\) | −7.61671 | − | 2.65561i | −0.257345 | − | 0.0897248i | ||||
\(877\) | −34.5677 | − | 34.5677i | −1.16727 | − | 1.16727i | −0.982847 | − | 0.184420i | \(-0.940959\pi\) |
−0.184420 | − | 0.982847i | \(-0.559041\pi\) | |||||||
\(878\) | 59.1910 | − | 15.8602i | 1.99760 | − | 0.535255i | ||||
\(879\) | −0.968555 | − | 5.08768i | −0.0326685 | − | 0.171603i | ||||
\(880\) | −1.97401 | − | 3.90247i | −0.0665440 | − | 0.131552i | ||||
\(881\) | − | 4.40817i | − | 0.148515i | −0.997239 | − | 0.0742575i | \(-0.976341\pi\) | ||
0.997239 | − | 0.0742575i | \(-0.0236587\pi\) | |||||||
\(882\) | 29.7645 | − | 39.5451i | 1.00222 | − | 1.33155i | ||||
\(883\) | −32.9465 | + | 32.9465i | −1.10874 | + | 1.10874i | −0.115421 | + | 0.993317i | \(0.536822\pi\) |
−0.993317 | + | 0.115421i | \(0.963178\pi\) | |||||||
\(884\) | −26.6496 | − | 46.1584i | −0.896323 | − | 1.55248i | ||||
\(885\) | −8.70945 | − | 1.12953i | −0.292765 | − | 0.0379687i | ||||
\(886\) | −38.1454 | + | 66.0698i | −1.28152 | + | 2.21966i | ||||
\(887\) | −23.7927 | + | 23.7927i | −0.798880 | + | 0.798880i | −0.982919 | − | 0.184039i | \(-0.941083\pi\) |
0.184039 | + | 0.982919i | \(0.441083\pi\) | |||||||
\(888\) | −50.2203 | − | 3.70682i | −1.68528 | − | 0.124393i | ||||
\(889\) | −25.5008 | + | 34.1342i | −0.855270 | + | 1.14482i | ||||
\(890\) | 55.6567 | + | 62.1788i | 1.86562 | + | 2.08424i | ||||
\(891\) | 11.2205 | − | 2.61405i | 0.375901 | − | 0.0875740i | ||||
\(892\) | −12.0262 | + | 44.8825i | −0.402668 | + | 1.50278i | ||||
\(893\) | 31.1405 | + | 31.1405i | 1.04208 | + | 1.04208i | ||||
\(894\) | 74.7159 | − | 14.2239i | 2.49887 | − | 0.475718i | ||||
\(895\) | −8.17991 | + | 4.13770i | −0.273424 | + | 0.138308i | ||||
\(896\) | −53.7495 | − | 6.37355i | −1.79565 | − | 0.212925i | ||||
\(897\) | −9.63812 | − | 6.55533i | −0.321808 | − | 0.218876i | ||||
\(898\) | −81.1236 | − | 21.7370i | −2.70713 | − | 0.725373i | ||||
\(899\) | −2.07801 | − | 3.59921i | −0.0693054 | − | 0.120040i | ||||
\(900\) | −51.4538 | + | 14.0001i | −1.71513 | + | 0.466669i | ||||
\(901\) | −23.2278 | + | 40.2317i | −0.773831 | + | 1.34031i | ||||
\(902\) | 6.59341 | + | 24.6069i | 0.219536 | + | 0.819321i | ||||
\(903\) | −29.3678 | + | 33.8029i | −0.977298 | + | 1.12489i | ||||
\(904\) | 6.19103 | − | 3.57439i | 0.205911 | − | 0.118883i | ||||
\(905\) | −1.21059 | + | 21.8720i | −0.0402415 | + | 0.727051i | ||||
\(906\) | 58.7718 | − | 11.1885i | 1.95256 | − | 0.371714i | ||||
\(907\) | −15.1922 | − | 15.1922i | −0.504450 | − | 0.504450i | 0.408368 | − | 0.912818i | \(-0.366098\pi\) |
−0.912818 | + | 0.408368i | \(0.866098\pi\) | |||||||
\(908\) | −49.8487 | + | 13.3569i | −1.65429 | + | 0.443265i | ||||
\(909\) | −4.43370 | − | 3.51951i | −0.147057 | − | 0.116735i | ||||
\(910\) | 34.2128 | + | 15.9032i | 1.13414 | + | 0.527186i | ||||
\(911\) | −37.1286 | − | 21.4362i | −1.23013 | − | 0.710214i | −0.263070 | − | 0.964777i | \(-0.584735\pi\) |
−0.967056 | + | 0.254563i | \(0.918068\pi\) | |||||||
\(912\) | −5.72982 | − | 11.8640i | −0.189733 | − | 0.392857i | ||||
\(913\) | 4.63500 | + | 17.2980i | 0.153396 | + | 0.572482i | ||||
\(914\) | 7.15165 | − | 12.3870i | 0.236556 | − | 0.409726i | ||||
\(915\) | −12.0723 | + | 15.7959i | −0.399098 | + | 0.522198i | ||||
\(916\) | 38.3963 | − | 66.5043i | 1.26865 | − | 2.19736i | ||||
\(917\) | −51.2919 | + | 7.42556i | −1.69381 | + | 0.245214i | ||||
\(918\) | −45.9889 | + | 49.9001i | −1.51786 | + | 1.64695i | ||||
\(919\) | 39.7236 | + | 22.9344i | 1.31036 | + | 0.756536i | 0.982155 | − | 0.188071i | \(-0.0602234\pi\) |
0.328204 | + | 0.944607i | \(0.393557\pi\) | |||||||
\(920\) | 20.3509 | + | 1.12640i | 0.670949 | + | 0.0371363i | ||||
\(921\) | −3.74590 | − | 1.30603i | −0.123432 | − | 0.0430352i | ||||
\(922\) | −12.0330 | − | 12.0330i | −0.396287 | − | 0.396287i | ||||
\(923\) | 3.16436 | − | 11.8095i | 0.104156 | − | 0.388716i | ||||
\(924\) | 20.8029 | − | 1.46056i | 0.684366 | − | 0.0480488i | ||||
\(925\) | 39.2123 | − | 5.97508i | 1.28929 | − | 0.196459i | ||||
\(926\) | −29.5934 | − | 17.0858i | −0.972501 | − | 0.561473i | ||||
\(927\) | 3.27574 | + | 28.4980i | 0.107589 | + | 0.935997i | ||||
\(928\) | −3.11728 | − | 0.835272i | −0.102330 | − | 0.0274191i | ||||
\(929\) | 4.50444 | + | 7.80191i | 0.147786 | + | 0.255972i | 0.930409 | − | 0.366524i | \(-0.119452\pi\) |
−0.782623 | + | 0.622496i | \(0.786119\pi\) | |||||||
\(930\) | −40.5288 | − | 16.6960i | −1.32899 | − | 0.547484i | ||||
\(931\) | −33.8845 | − | 8.15056i | −1.11052 | − | 0.267124i | ||||
\(932\) | −41.1579 | − | 11.0282i | −1.34817 | − | 0.361242i | ||||
\(933\) | 22.6366 | + | 1.67084i | 0.741090 | + | 0.0547008i | ||||
\(934\) | − | 43.0935i | − | 1.41006i | ||||||
\(935\) | 15.0700 | + | 4.94546i | 0.492843 | + | 0.161734i | ||||
\(936\) | −29.4268 | − | 4.36786i | −0.961846 | − | 0.142768i | ||||
\(937\) | −25.7460 | − | 25.7460i | −0.841085 | − | 0.841085i | 0.147915 | − | 0.989000i | \(-0.452744\pi\) |
−0.989000 | + | 0.147915i | \(0.952744\pi\) | |||||||
\(938\) | 7.35668 | + | 50.8161i | 0.240204 | + | 1.65920i | ||||
\(939\) | −21.2673 | + | 4.04872i | −0.694034 | + | 0.132125i | ||||
\(940\) | −52.3916 | + | 46.8961i | −1.70883 | + | 1.52958i | ||||
\(941\) | −25.8078 | − | 14.9001i | −0.841311 | − | 0.485731i | 0.0163989 | − | 0.999866i | \(-0.494780\pi\) |
−0.857709 | + | 0.514135i | \(0.828113\pi\) | |||||||
\(942\) | 20.8887 | − | 10.0884i | 0.680592 | − | 0.328697i | ||||
\(943\) | −20.2848 | − | 5.43529i | −0.660564 | − | 0.176998i | ||||
\(944\) | 3.46455 | 0.112762 | ||||||||
\(945\) | 4.06289 | − | 30.4712i | 0.132166 | − | 0.991228i | ||||
\(946\) | −29.4813 | −0.958520 | ||||||||
\(947\) | 34.3651 | + | 9.20810i | 1.11672 | + | 0.299223i | 0.769554 | − | 0.638582i | \(-0.220479\pi\) |
0.347162 | + | 0.937805i | \(0.387145\pi\) | |||||||
\(948\) | 34.8569 | − | 16.8344i | 1.13210 | − | 0.546756i | ||||
\(949\) | 3.06978 | + | 1.77234i | 0.0996492 | + | 0.0575325i | ||||
\(950\) | 36.6551 | + | 45.8121i | 1.18925 | + | 1.48634i | ||||
\(951\) | 33.4984 | − | 6.37719i | 1.08626 | − | 0.206795i | ||||
\(952\) | −42.2009 | + | 33.2536i | −1.36774 | + | 1.07776i | ||||
\(953\) | 20.6711 | + | 20.6711i | 0.669602 | + | 0.669602i | 0.957624 | − | 0.288022i | \(-0.0929976\pi\) |
−0.288022 | + | 0.957624i | \(0.592998\pi\) | |||||||
\(954\) | 21.7812 | + | 55.1335i | 0.705193 | + | 1.78501i | ||||
\(955\) | 6.91702 | + | 13.6744i | 0.223830 | + | 0.442494i | ||||
\(956\) | 14.0780i | 0.455315i | ||||||||
\(957\) | 1.91377 | + | 0.141258i | 0.0618634 | + | 0.00456622i | ||||
\(958\) | −17.3539 | − | 4.64995i | −0.560678 | − | 0.150233i | ||||
\(959\) | −10.4943 | − | 7.84004i | −0.338879 | − | 0.253168i | ||||
\(960\) | −42.3463 | + | 17.6362i | −1.36672 | + | 0.569206i | ||||
\(961\) | 3.97075 | + | 6.87754i | 0.128089 | + | 0.221856i | ||||
\(962\) | 48.8669 | + | 13.0938i | 1.57553 | + | 0.422162i | ||||
\(963\) | −21.1888 | − | 9.18803i | −0.682799 | − | 0.296080i | ||||
\(964\) | 57.4449 | + | 33.1658i | 1.85018 | + | 1.06820i | ||||
\(965\) | −13.1760 | + | 2.76028i | −0.424149 | + | 0.0888564i | ||||
\(966\) | −11.7691 | + | 24.1474i | −0.378664 | + | 0.776931i | ||||
\(967\) | −8.83611 | + | 32.9768i | −0.284150 | + | 1.06046i | 0.665308 | + | 0.746569i | \(0.268300\pi\) |
−0.949458 | + | 0.313893i | \(0.898367\pi\) | |||||||
\(968\) | −24.2596 | − | 24.2596i | −0.779733 | − | 0.779733i | ||||
\(969\) | 45.1188 | + | 15.7310i | 1.44943 | + | 0.505351i | ||||
\(970\) | 2.05494 | − | 37.1271i | 0.0659803 | − | 1.19208i | ||||
\(971\) | 17.9833 | + | 10.3827i | 0.577111 | + | 0.333195i | 0.759984 | − | 0.649941i | \(-0.225207\pi\) |
−0.182873 | + | 0.983136i | \(0.558540\pi\) | |||||||
\(972\) | 8.56671 | + | 54.7503i | 0.274777 | + | 1.75612i | ||||
\(973\) | −27.6302 | − | 35.0644i | −0.885782 | − | 1.12411i | ||||
\(974\) | 2.40994 | − | 4.17414i | 0.0772194 | − | 0.133748i | ||||
\(975\) | 23.3624 | − | 1.81508i | 0.748195 | − | 0.0581292i | ||||
\(976\) | 3.92140 | − | 6.79207i | 0.125521 | − | 0.217409i | ||||
\(977\) | 4.75292 | + | 17.7381i | 0.152059 | + | 0.567494i | 0.999339 | + | 0.0363467i | \(0.0115721\pi\) |
−0.847280 | + | 0.531147i | \(0.821761\pi\) | |||||||
\(978\) | −8.31933 | − | 17.2258i | −0.266023 | − | 0.550820i | ||||
\(979\) | −17.5541 | − | 10.1348i | −0.561030 | − | 0.323911i | ||||
\(980\) | 15.9834 | − | 53.2990i | 0.510570 | − | 1.70258i | ||||
\(981\) | −3.03656 | + | 20.4577i | −0.0969500 | + | 0.653164i | ||||
\(982\) | −98.7936 | + | 26.4717i | −3.15263 | + | 0.844745i | ||||
\(983\) | 0.707717 | + | 0.707717i | 0.0225727 | + | 0.0225727i | 0.718303 | − | 0.695730i | \(-0.244919\pi\) |
−0.695730 | + | 0.718303i | \(0.744919\pi\) | |||||||
\(984\) | −52.6523 | + | 10.0236i | −1.67849 | + | 0.319539i | ||||
\(985\) | −24.3621 | − | 27.2169i | −0.776240 | − | 0.867203i | ||||
\(986\) | −9.78869 | + | 5.65150i | −0.311735 | + | 0.179981i | ||||
\(987\) | −13.2078 | − | 38.3232i | −0.420409 | − | 1.21984i | ||||
\(988\) | 12.3949 | + | 46.2582i | 0.394333 | + | 1.47167i | ||||
\(989\) | 12.1515 | − | 21.0470i | 0.386395 | − | 0.669256i | ||||
\(990\) | 16.8988 | − | 11.1381i | 0.537079 | − | 0.353992i | ||||
\(991\) | −19.1524 | − | 33.1730i | −0.608397 | − | 1.05377i | −0.991505 | − | 0.130071i | \(-0.958480\pi\) |
0.383108 | − | 0.923704i | \(-0.374854\pi\) | |||||||
\(992\) | −17.2953 | − | 4.63427i | −0.549128 | − | 0.147138i | ||||
\(993\) | 8.44011 | + | 5.74051i | 0.267839 | + | 0.182169i | ||||
\(994\) | −27.9804 | − | 3.31788i | −0.887484 | − | 0.105237i | ||||
\(995\) | 24.4201 | + | 48.2765i | 0.774168 | + | 1.53047i | ||||
\(996\) | −84.6197 | + | 16.1093i | −2.68128 | + | 0.510442i | ||||
\(997\) | −27.2549 | − | 27.2549i | −0.863171 | − | 0.863171i | 0.128534 | − | 0.991705i | \(-0.458973\pi\) |
−0.991705 | + | 0.128534i | \(0.958973\pi\) | |||||||
\(998\) | −10.8990 | + | 40.6758i | −0.345003 | + | 1.28757i | ||||
\(999\) | −1.67996 | − | 41.1868i | −0.0531517 | − | 1.30309i |
(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 | 315.2.bx.a.2.5 | yes | 176 | |
3.2 | odd | 2 | 945.2.ca.a.737.40 | 176 | |||
5.3 | odd | 4 | inner | 315.2.bx.a.128.5 | yes | 176 | |
7.4 | even | 3 | 315.2.bv.a.137.40 | yes | 176 | ||
9.4 | even | 3 | 945.2.by.a.422.40 | 176 | |||
9.5 | odd | 6 | 315.2.bv.a.212.5 | yes | 176 | ||
15.8 | even | 4 | 945.2.ca.a.548.40 | 176 | |||
21.11 | odd | 6 | 945.2.by.a.872.5 | 176 | |||
35.18 | odd | 12 | 315.2.bv.a.263.5 | yes | 176 | ||
45.13 | odd | 12 | 945.2.by.a.233.5 | 176 | |||
45.23 | even | 12 | 315.2.bv.a.23.40 | ✓ | 176 | ||
63.4 | even | 3 | 945.2.ca.a.557.40 | 176 | |||
63.32 | odd | 6 | inner | 315.2.bx.a.32.5 | yes | 176 | |
105.53 | even | 12 | 945.2.by.a.683.40 | 176 | |||
315.158 | even | 12 | inner | 315.2.bx.a.158.5 | yes | 176 | |
315.193 | odd | 12 | 945.2.ca.a.368.40 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bv.a.23.40 | ✓ | 176 | 45.23 | even | 12 | ||
315.2.bv.a.137.40 | yes | 176 | 7.4 | even | 3 | ||
315.2.bv.a.212.5 | yes | 176 | 9.5 | odd | 6 | ||
315.2.bv.a.263.5 | yes | 176 | 35.18 | odd | 12 | ||
315.2.bx.a.2.5 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.bx.a.32.5 | yes | 176 | 63.32 | odd | 6 | inner | |
315.2.bx.a.128.5 | yes | 176 | 5.3 | odd | 4 | inner | |
315.2.bx.a.158.5 | yes | 176 | 315.158 | even | 12 | inner | |
945.2.by.a.233.5 | 176 | 45.13 | odd | 12 | |||
945.2.by.a.422.40 | 176 | 9.4 | even | 3 | |||
945.2.by.a.683.40 | 176 | 105.53 | even | 12 | |||
945.2.by.a.872.5 | 176 | 21.11 | odd | 6 | |||
945.2.ca.a.368.40 | 176 | 315.193 | odd | 12 | |||
945.2.ca.a.548.40 | 176 | 15.8 | even | 4 | |||
945.2.ca.a.557.40 | 176 | 63.4 | even | 3 | |||
945.2.ca.a.737.40 | 176 | 3.2 | odd | 2 |