Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(46,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.k (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 405.181 |
Dual form | 405.2.k.a.226.3 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.282715 | − | 0.102900i | 0.199910 | − | 0.0727612i | −0.240125 | − | 0.970742i | \(-0.577188\pi\) |
0.440035 | + | 0.897981i | \(0.354966\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.46275 | + | 1.22739i | −0.731375 | + | 0.613696i | ||||
\(5\) | 0.173648 | + | 0.984808i | 0.0776578 | + | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.28585 | − | 2.75715i | −1.24193 | − | 1.04211i | −0.997370 | − | 0.0724727i | \(-0.976911\pi\) |
−0.244563 | − | 0.969633i | \(-0.578645\pi\) | |||||||
\(8\) | −0.588102 | + | 1.01862i | −0.207925 | + | 0.360137i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.150430 | + | 0.260552i | 0.0475700 | + | 0.0823936i | ||||
\(11\) | −0.307813 | + | 1.74570i | −0.0928092 | + | 0.526347i | 0.902587 | + | 0.430506i | \(0.141665\pi\) |
−0.995397 | + | 0.0958407i | \(0.969446\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.80087 | − | 1.38340i | −1.05417 | − | 0.383687i | −0.243937 | − | 0.969791i | \(-0.578439\pi\) |
−0.810236 | + | 0.586104i | \(0.800661\pi\) | |||||||
\(14\) | −1.21267 | − | 0.441375i | −0.324099 | − | 0.117963i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.601708 | − | 3.41245i | 0.150427 | − | 0.853113i | ||||
\(17\) | −1.95214 | − | 3.38121i | −0.473464 | − | 0.820064i | 0.526075 | − | 0.850438i | \(-0.323663\pi\) |
−0.999539 | + | 0.0303747i | \(0.990330\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.556845 | + | 0.964484i | −0.127749 | + | 0.221268i | −0.922804 | − | 0.385269i | \(-0.874109\pi\) |
0.795055 | + | 0.606537i | \(0.207442\pi\) | |||||||
\(20\) | −1.46275 | − | 1.22739i | −0.327081 | − | 0.274453i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0926084 | + | 0.525208i | 0.0197442 | + | 0.111975i | ||||
\(23\) | −6.60755 | + | 5.54440i | −1.37777 | + | 1.15609i | −0.407741 | + | 0.913098i | \(0.633683\pi\) |
−0.970029 | + | 0.242989i | \(0.921872\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | −1.21692 | −0.238657 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.19048 | 1.54786 | ||||||||
\(29\) | 0.562260 | − | 0.204646i | 0.104409 | − | 0.0380018i | −0.289287 | − | 0.957242i | \(-0.593418\pi\) |
0.393696 | + | 0.919240i | \(0.371196\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.24781 | − | 1.04704i | 0.224114 | − | 0.188054i | −0.523816 | − | 0.851831i | \(-0.675492\pi\) |
0.747930 | + | 0.663777i | \(0.231048\pi\) | |||||||
\(32\) | −0.589520 | − | 3.34334i | −0.104213 | − | 0.591024i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.899826 | − | 0.755043i | −0.154319 | − | 0.129489i | ||||
\(35\) | 2.14468 | − | 3.71470i | 0.362518 | − | 0.627899i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.60857 | − | 4.51818i | −0.428847 | − | 0.742785i | 0.567924 | − | 0.823081i | \(-0.307747\pi\) |
−0.996771 | + | 0.0802963i | \(0.974413\pi\) | |||||||
\(38\) | −0.0581832 | + | 0.329973i | −0.00943856 | + | 0.0535287i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.10527 | − | 0.402285i | −0.174758 | − | 0.0636069i | ||||
\(41\) | 0.711333 | + | 0.258904i | 0.111092 | + | 0.0404340i | 0.396968 | − | 0.917833i | \(-0.370062\pi\) |
−0.285876 | + | 0.958267i | \(0.592285\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.25194 | + | 7.10010i | −0.190919 | + | 1.08276i | 0.727193 | + | 0.686434i | \(0.240825\pi\) |
−0.918112 | + | 0.396322i | \(0.870286\pi\) | |||||||
\(44\) | −1.69240 | − | 2.93132i | −0.255139 | − | 0.441914i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.29754 | + | 2.24740i | −0.191311 | + | 0.331361i | ||||
\(47\) | 9.00022 | + | 7.55208i | 1.31282 | + | 1.10158i | 0.987775 | + | 0.155884i | \(0.0498225\pi\) |
0.325041 | + | 0.945700i | \(0.394622\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.97936 | + | 11.2255i | 0.282766 | + | 1.60365i | ||||
\(50\) | −0.230471 | + | 0.193388i | −0.0325936 | + | 0.0273493i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.25771 | − | 2.64159i | 1.00646 | − | 0.366323i | ||||
\(53\) | −3.97724 | −0.546316 | −0.273158 | − | 0.961969i | \(-0.588068\pi\) | ||||
−0.273158 | + | 0.961969i | \(0.588068\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.77263 | −0.239021 | ||||||||
\(56\) | 4.74091 | − | 1.72555i | 0.633531 | − | 0.230586i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.137901 | − | 0.115713i | 0.0181073 | − | 0.0151939i | ||||
\(59\) | 2.39974 | + | 13.6096i | 0.312419 | + | 1.77182i | 0.586339 | + | 0.810066i | \(0.300569\pi\) |
−0.273919 | + | 0.961753i | \(0.588320\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.49619 | − | 5.45095i | −0.831752 | − | 0.697923i | 0.123940 | − | 0.992290i | \(-0.460447\pi\) |
−0.955693 | + | 0.294366i | \(0.904891\pi\) | |||||||
\(62\) | 0.245035 | − | 0.424413i | 0.0311195 | − | 0.0539006i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.95440 | + | 5.11717i | 0.369300 | + | 0.639647i | ||||
\(65\) | 0.702373 | − | 3.98336i | 0.0871187 | − | 0.494074i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.36217 | − | 2.67961i | −0.899432 | − | 0.327367i | −0.149407 | − | 0.988776i | \(-0.547736\pi\) |
−0.750025 | + | 0.661409i | \(0.769959\pi\) | |||||||
\(68\) | 7.00557 | + | 2.54982i | 0.849550 | + | 0.309211i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.224092 | − | 1.27089i | 0.0267841 | − | 0.151900i | ||||
\(71\) | −2.59176 | − | 4.48907i | −0.307586 | − | 0.532754i | 0.670248 | − | 0.742137i | \(-0.266188\pi\) |
−0.977834 | + | 0.209383i | \(0.932854\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.18764 | − | 3.78911i | 0.256044 | − | 0.443481i | −0.709135 | − | 0.705073i | \(-0.750914\pi\) |
0.965179 | + | 0.261592i | \(0.0842474\pi\) | |||||||
\(74\) | −1.20240 | − | 1.00894i | −0.139777 | − | 0.117286i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.369276 | − | 2.09427i | −0.0423588 | − | 0.240229i | ||||
\(77\) | 5.82458 | − | 4.88740i | 0.663772 | − | 0.556971i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.1133 | − | 4.40888i | 1.36285 | − | 0.496038i | 0.445917 | − | 0.895074i | \(-0.352877\pi\) |
0.916935 | + | 0.399036i | \(0.130655\pi\) | |||||||
\(80\) | 3.46510 | 0.387410 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.227746 | 0.0251503 | ||||||||
\(83\) | 7.43037 | − | 2.70443i | 0.815589 | − | 0.296850i | 0.0996585 | − | 0.995022i | \(-0.468225\pi\) |
0.715930 | + | 0.698172i | \(0.246003\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.99086 | − | 2.50963i | 0.324404 | − | 0.272207i | ||||
\(86\) | 0.376657 | + | 2.13613i | 0.0406160 | + | 0.230345i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.59718 | − | 1.34019i | −0.170260 | − | 0.142865i | ||||
\(89\) | −1.62783 | + | 2.81949i | −0.172550 | + | 0.298865i | −0.939311 | − | 0.343068i | \(-0.888534\pi\) |
0.766761 | + | 0.641933i | \(0.221867\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.67483 | + | 15.0252i | 0.909369 | + | 1.57507i | ||||
\(92\) | 2.86005 | − | 16.2201i | 0.298180 | − | 1.69106i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.32160 | + | 1.20896i | 0.342597 | + | 0.124695i | ||||
\(95\) | −1.04653 | − | 0.380904i | −0.107371 | − | 0.0390800i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.345856 | + | 1.96145i | −0.0351164 | + | 0.199155i | −0.997319 | − | 0.0731807i | \(-0.976685\pi\) |
0.962202 | + | 0.272336i | \(0.0877961\pi\) | |||||||
\(98\) | 1.71470 | + | 2.96995i | 0.173211 | + | 0.300010i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.954742 | − | 1.65366i | 0.0954742 | − | 0.165366i | ||||
\(101\) | −7.02258 | − | 5.89264i | −0.698773 | − | 0.586340i | 0.222652 | − | 0.974898i | \(-0.428529\pi\) |
−0.921424 | + | 0.388558i | \(0.872973\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.314812 | + | 1.78539i | 0.0310193 | + | 0.175919i | 0.996381 | − | 0.0849945i | \(-0.0270873\pi\) |
−0.965362 | + | 0.260914i | \(0.915976\pi\) | |||||||
\(104\) | 3.64447 | − | 3.05807i | 0.357369 | − | 0.299869i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.12442 | + | 0.409257i | −0.109214 | + | 0.0397506i | ||||
\(107\) | −3.71297 | −0.358946 | −0.179473 | − | 0.983763i | \(-0.557439\pi\) | ||||
−0.179473 | + | 0.983763i | \(0.557439\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.24138 | −0.310468 | −0.155234 | − | 0.987878i | \(-0.549613\pi\) | ||||
−0.155234 | + | 0.987878i | \(0.549613\pi\) | |||||||
\(110\) | −0.501148 | + | 0.182403i | −0.0477826 | + | 0.0173914i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −11.3858 | + | 9.55380i | −1.07585 | + | 0.902749i | ||||
\(113\) | −2.13575 | − | 12.1124i | −0.200914 | − | 1.13944i | −0.903741 | − | 0.428080i | \(-0.859190\pi\) |
0.702827 | − | 0.711361i | \(-0.251921\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.60755 | − | 5.54440i | −0.616157 | − | 0.517018i | ||||
\(116\) | −0.571265 | + | 0.989460i | −0.0530406 | + | 0.0918690i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.07887 | + | 3.60070i | 0.191375 | + | 0.331472i | ||||
\(119\) | −2.90807 | + | 16.4925i | −0.266583 | + | 1.51186i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.38391 | + | 2.68752i | 0.671265 | + | 0.244320i | ||||
\(122\) | −2.39747 | − | 0.872609i | −0.217057 | − | 0.0790023i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.540109 | + | 3.06311i | −0.0485033 | + | 0.275076i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.50593 | − | 9.53655i | 0.488572 | − | 0.846232i | −0.511341 | − | 0.859378i | \(-0.670851\pi\) |
0.999914 | + | 0.0131457i | \(0.00418454\pi\) | |||||||
\(128\) | 6.56312 | + | 5.50711i | 0.580103 | + | 0.486764i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.211315 | − | 1.19843i | −0.0185336 | − | 0.105109i | ||||
\(131\) | −13.4406 | + | 11.2780i | −1.17431 | + | 0.985361i | −0.174307 | + | 0.984691i | \(0.555769\pi\) |
−1.00000 | 0.000669520i | \(0.999787\pi\) | ||||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.48894 | − | 1.63384i | 0.389240 | − | 0.141672i | ||||
\(134\) | −2.35713 | −0.203625 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.59223 | 0.393781 | ||||||||
\(137\) | 0.335210 | − | 0.122007i | 0.0286389 | − | 0.0104237i | −0.327661 | − | 0.944795i | \(-0.606260\pi\) |
0.356300 | + | 0.934372i | \(0.384038\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.14234 | + | 0.958535i | −0.0968918 | + | 0.0813019i | −0.689947 | − | 0.723860i | \(-0.742366\pi\) |
0.593055 | + | 0.805162i | \(0.297922\pi\) | |||||||
\(140\) | 1.42226 | + | 8.06605i | 0.120203 | + | 0.681706i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.19465 | − | 1.00243i | −0.100253 | − | 0.0841224i | ||||
\(143\) | 3.58496 | − | 6.20934i | 0.299790 | − | 0.519251i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.299172 | + | 0.518182i | 0.0248449 | + | 0.0430326i | ||||
\(146\) | 0.228581 | − | 1.29635i | 0.0189175 | − | 0.107286i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.36127 | + | 3.40722i | 0.769492 | + | 0.280072i | ||||
\(149\) | −17.0077 | − | 6.19029i | −1.39332 | − | 0.507128i | −0.467134 | − | 0.884186i | \(-0.654714\pi\) |
−0.926190 | + | 0.377058i | \(0.876936\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.68305 | + | 20.8876i | −0.299723 | + | 1.69981i | 0.347638 | + | 0.937629i | \(0.386984\pi\) |
−0.647361 | + | 0.762183i | \(0.724127\pi\) | |||||||
\(152\) | −0.654963 | − | 1.13443i | −0.0531245 | − | 0.0920144i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.14378 | − | 1.98109i | 0.0921687 | − | 0.159641i | ||||
\(155\) | 1.24781 | + | 1.04704i | 0.100227 | + | 0.0841002i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.950859 | − | 5.39259i | −0.0758868 | − | 0.430375i | −0.998954 | − | 0.0457357i | \(-0.985437\pi\) |
0.923067 | − | 0.384640i | \(-0.125674\pi\) | |||||||
\(158\) | 2.97094 | − | 2.49291i | 0.236355 | − | 0.198326i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.19017 | − | 1.16113i | 0.252205 | − | 0.0917953i | ||||
\(161\) | 36.9982 | 2.91586 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.9869 | −1.40884 | −0.704420 | − | 0.709783i | \(-0.748793\pi\) | ||||
−0.704420 | + | 0.709783i | \(0.748793\pi\) | |||||||
\(164\) | −1.35828 | + | 0.494373i | −0.106064 | + | 0.0386040i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.82239 | − | 1.52917i | 0.141445 | − | 0.118686i | ||||
\(167\) | −3.46215 | − | 19.6348i | −0.267909 | − | 1.51939i | −0.760620 | − | 0.649197i | \(-0.775105\pi\) |
0.492711 | − | 0.870193i | \(-0.336006\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.57425 | + | 2.16006i | 0.198019 | + | 0.166158i | ||||
\(170\) | 0.587320 | − | 1.01727i | 0.0450454 | − | 0.0780208i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.88334 | − | 11.9223i | −0.524850 | − | 0.909066i | ||||
\(173\) | −1.17486 | + | 6.66294i | −0.0893226 | + | 0.506574i | 0.907017 | + | 0.421094i | \(0.138354\pi\) |
−0.996340 | + | 0.0854803i | \(0.972758\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.03069 | + | 1.46705i | 0.304691 | + | 0.110899i | ||||
\(176\) | 5.77189 | + | 2.10080i | 0.435073 | + | 0.158354i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.170088 | + | 0.964615i | −0.0127486 | + | 0.0723009i | ||||
\(179\) | 4.71985 | + | 8.17503i | 0.352778 | + | 0.611030i | 0.986735 | − | 0.162338i | \(-0.0519036\pi\) |
−0.633957 | + | 0.773369i | \(0.718570\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.566202 | + | 0.980691i | −0.0420855 | + | 0.0728942i | −0.886301 | − | 0.463110i | \(-0.846734\pi\) |
0.844215 | + | 0.536004i | \(0.180067\pi\) | |||||||
\(182\) | 3.99860 | + | 3.35522i | 0.296396 | + | 0.248706i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.76173 | − | 9.99127i | −0.129876 | − | 0.736566i | ||||
\(185\) | 3.99657 | − | 3.35352i | 0.293833 | − | 0.246556i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.50346 | − | 2.36707i | 0.475580 | − | 0.173097i | ||||
\(188\) | −22.4344 | −1.63620 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.335064 | −0.0243081 | ||||||||
\(191\) | −22.1994 | + | 8.07991i | −1.60629 | + | 0.584642i | −0.980701 | − | 0.195512i | \(-0.937363\pi\) |
−0.625588 | + | 0.780153i | \(0.715141\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.08055 | + | 1.74579i | −0.149761 | + | 0.125665i | −0.714590 | − | 0.699544i | \(-0.753387\pi\) |
0.564829 | + | 0.825208i | \(0.308942\pi\) | |||||||
\(194\) | 0.104054 | + | 0.590120i | 0.00747064 | + | 0.0423681i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −16.6734 | − | 13.9907i | −1.19096 | − | 0.999333i | ||||
\(197\) | −7.13716 | + | 12.3619i | −0.508501 | + | 0.880750i | 0.491450 | + | 0.870906i | \(0.336467\pi\) |
−0.999952 | + | 0.00984437i | \(0.996866\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.6351 | − | 18.4206i | −0.753905 | − | 1.30580i | −0.945917 | − | 0.324409i | \(-0.894835\pi\) |
0.192012 | − | 0.981393i | \(-0.438499\pi\) | |||||||
\(200\) | 0.204246 | − | 1.15833i | 0.0144423 | − | 0.0819066i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.59174 | − | 0.943316i | −0.182354 | − | 0.0663715i | ||||
\(203\) | −2.41174 | − | 0.877802i | −0.169271 | − | 0.0616096i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.131449 | + | 0.745484i | −0.00918080 | + | 0.0520669i | ||||
\(206\) | 0.272718 | + | 0.472361i | 0.0190012 | + | 0.0329110i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.00782 | + | 12.1379i | −0.485905 | + | 0.841612i | ||||
\(209\) | −1.51229 | − | 1.26896i | −0.104607 | − | 0.0877760i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.49805 | − | 19.8384i | −0.240815 | − | 1.36573i | −0.830013 | − | 0.557743i | \(-0.811667\pi\) |
0.589198 | − | 0.807989i | \(-0.299444\pi\) | |||||||
\(212\) | 5.81770 | − | 4.88163i | 0.399562 | − | 0.335272i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.04971 | + | 0.382064i | −0.0717568 | + | 0.0261173i | ||||
\(215\) | −7.20963 | −0.491693 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.98697 | −0.474306 | ||||||||
\(218\) | −0.916386 | + | 0.333537i | −0.0620655 | + | 0.0225900i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.59291 | − | 2.17571i | 0.174814 | − | 0.146686i | ||||
\(221\) | 2.74226 | + | 15.5522i | 0.184465 | + | 1.04615i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.43003 | − | 3.71723i | −0.296657 | − | 0.248924i | 0.482294 | − | 0.876009i | \(-0.339804\pi\) |
−0.778951 | + | 0.627085i | \(0.784248\pi\) | |||||||
\(224\) | −7.28102 | + | 12.6111i | −0.486483 | + | 0.842614i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.85017 | − | 3.20460i | −0.123072 | − | 0.213167i | ||||
\(227\) | −2.65839 | + | 15.0765i | −0.176443 | + | 1.00066i | 0.760021 | + | 0.649898i | \(0.225188\pi\) |
−0.936465 | + | 0.350762i | \(0.885923\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.31831 | − | 0.843797i | −0.153198 | − | 0.0557596i | 0.264283 | − | 0.964445i | \(-0.414865\pi\) |
−0.417481 | + | 0.908686i | \(0.637087\pi\) | |||||||
\(230\) | −2.43857 | − | 0.887567i | −0.160795 | − | 0.0585245i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.122209 | + | 0.693083i | −0.00802343 | + | 0.0455031i | ||||
\(233\) | 4.21427 | + | 7.29932i | 0.276086 | + | 0.478195i | 0.970408 | − | 0.241469i | \(-0.0776293\pi\) |
−0.694323 | + | 0.719664i | \(0.744296\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.87447 | + | 10.1749i | −0.383208 | + | 0.663736i | ||||
\(236\) | −20.2145 | − | 16.9620i | −1.31585 | − | 1.10413i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.874920 | + | 4.96192i | 0.0567126 | + | 0.321633i | ||||
\(239\) | 11.6818 | − | 9.80219i | 0.755633 | − | 0.634051i | −0.181353 | − | 0.983418i | \(-0.558048\pi\) |
0.936986 | + | 0.349367i | \(0.113603\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.611555 | − | 0.222588i | 0.0393937 | − | 0.0143381i | −0.322248 | − | 0.946655i | \(-0.604439\pi\) |
0.361642 | + | 0.932317i | \(0.382216\pi\) | |||||||
\(242\) | 2.36409 | 0.151969 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 16.1928 | 1.03664 | ||||||||
\(245\) | −10.7113 | + | 3.89858i | −0.684318 | + | 0.249071i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.45077 | − | 2.89554i | 0.219567 | − | 0.184239i | ||||
\(248\) | 0.332696 | + | 1.88682i | 0.0211262 | + | 0.119813i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.230471 | − | 0.193388i | −0.0145763 | − | 0.0122310i | ||||
\(251\) | 3.07930 | − | 5.33350i | 0.194364 | − | 0.336648i | −0.752328 | − | 0.658789i | \(-0.771069\pi\) |
0.946692 | + | 0.322141i | \(0.104403\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.64494 | − | 13.2414i | −0.480633 | − | 0.832481i | ||||
\(254\) | 0.575299 | − | 3.26268i | 0.0360975 | − | 0.204719i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.68274 | − | 3.16026i | −0.542672 | − | 0.197516i | ||||
\(257\) | 6.58933 | + | 2.39832i | 0.411031 | + | 0.149603i | 0.539256 | − | 0.842142i | \(-0.318706\pi\) |
−0.128225 | + | 0.991745i | \(0.540928\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.88595 | + | 22.0383i | −0.241461 | + | 1.36939i | ||||
\(260\) | 3.86175 | + | 6.68874i | 0.239495 | + | 0.414818i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.63935 | + | 4.57148i | −0.163059 | + | 0.282427i | ||||
\(263\) | −14.9017 | − | 12.5040i | −0.918880 | − | 0.771032i | 0.0549074 | − | 0.998491i | \(-0.482514\pi\) |
−0.973788 | + | 0.227459i | \(0.926958\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.690640 | − | 3.91682i | −0.0424257 | − | 0.240608i | ||||
\(266\) | 1.10097 | − | 0.923822i | 0.0675047 | − | 0.0566432i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.0579 | − | 5.11667i | 0.858726 | − | 0.312551i | ||||
\(269\) | −10.1856 | −0.621026 | −0.310513 | − | 0.950569i | \(-0.600501\pi\) | ||||
−0.310513 | + | 0.950569i | \(0.600501\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.87083 | −0.417373 | −0.208687 | − | 0.977983i | \(-0.566919\pi\) | ||||
−0.208687 | + | 0.977983i | \(0.566919\pi\) | |||||||
\(272\) | −12.7128 | + | 4.62710i | −0.770829 | + | 0.280559i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.0822145 | − | 0.0689862i | 0.00496676 | − | 0.00416761i | ||||
\(275\) | −0.307813 | − | 1.74570i | −0.0185618 | − | 0.105269i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 20.3488 | + | 17.0747i | 1.22264 | + | 1.02592i | 0.998682 | + | 0.0513192i | \(0.0163426\pi\) |
0.223959 | + | 0.974599i | \(0.428102\pi\) | |||||||
\(278\) | −0.224323 | + | 0.388539i | −0.0134540 | + | 0.0233030i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.52259 | + | 4.36925i | 0.150753 | + | 0.261112i | ||||
\(281\) | 4.15446 | − | 23.5611i | 0.247834 | − | 1.40554i | −0.565983 | − | 0.824417i | \(-0.691503\pi\) |
0.813817 | − | 0.581121i | \(-0.197386\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.6874 | + | 4.61782i | 0.754186 | + | 0.274501i | 0.690366 | − | 0.723460i | \(-0.257450\pi\) |
0.0638197 | + | 0.997961i | \(0.479672\pi\) | |||||||
\(284\) | 9.30095 | + | 3.38527i | 0.551910 | + | 0.200879i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.374583 | − | 2.12437i | 0.0221496 | − | 0.125616i | ||||
\(287\) | −1.62349 | − | 2.81197i | −0.0958318 | − | 0.165985i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.878281 | − | 1.52123i | 0.0516636 | − | 0.0894840i | ||||
\(290\) | 0.137901 | + | 0.115713i | 0.00809784 | + | 0.00679490i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.45075 | + | 8.22761i | 0.0848987 | + | 0.481484i | ||||
\(293\) | 4.22408 | − | 3.54442i | 0.246773 | − | 0.207067i | −0.511008 | − | 0.859576i | \(-0.670728\pi\) |
0.757781 | + | 0.652508i | \(0.226283\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.9861 | + | 4.72656i | −0.756082 | + | 0.275191i | ||||
\(296\) | 6.13643 | 0.356673 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.44531 | −0.315438 | ||||||||
\(299\) | 32.7846 | − | 11.9326i | 1.89598 | − | 0.690082i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 23.6898 | − | 19.8781i | 1.36545 | − | 1.14575i | ||||
\(302\) | 1.10808 | + | 6.28424i | 0.0637628 | + | 0.361617i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.95620 | + | 2.48055i | 0.169550 | + | 0.142269i | ||||
\(305\) | 4.24009 | − | 7.34405i | 0.242787 | − | 0.420519i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.38360 | − | 4.12852i | −0.136039 | − | 0.235627i | 0.789955 | − | 0.613165i | \(-0.210104\pi\) |
−0.925994 | + | 0.377538i | \(0.876771\pi\) | |||||||
\(308\) | −2.52114 | + | 14.2981i | −0.143655 | + | 0.814709i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.460516 | + | 0.167614i | 0.0261555 | + | 0.00951983i | ||||
\(311\) | 10.2196 | + | 3.71963i | 0.579500 | + | 0.210921i | 0.615105 | − | 0.788445i | \(-0.289114\pi\) |
−0.0356051 | + | 0.999366i | \(0.511336\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.15639 | + | 12.2295i | −0.121887 | + | 0.691253i | 0.861222 | + | 0.508229i | \(0.169700\pi\) |
−0.983108 | + | 0.183024i | \(0.941411\pi\) | |||||||
\(314\) | −0.823719 | − | 1.42672i | −0.0464851 | − | 0.0805146i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −12.3073 | + | 21.3169i | −0.692339 | + | 1.19917i | ||||
\(317\) | 8.45181 | + | 7.09191i | 0.474701 | + | 0.398321i | 0.848506 | − | 0.529186i | \(-0.177503\pi\) |
−0.373805 | + | 0.927507i | \(0.621947\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.184178 | + | 1.04453i | 0.0103120 | + | 0.0584823i | ||||
\(320\) | −4.52641 | + | 3.79811i | −0.253034 | + | 0.212321i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.4599 | − | 3.80710i | 0.582909 | − | 0.212162i | ||||
\(323\) | 4.34816 | 0.241938 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.04481 | 0.224365 | ||||||||
\(326\) | −5.08516 | + | 1.85085i | −0.281641 | + | 0.102509i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.682061 | + | 0.572317i | −0.0376605 | + | 0.0316009i | ||||
\(329\) | −8.75110 | − | 49.6300i | −0.482464 | − | 2.73619i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.55201 | + | 1.30229i | 0.0853061 | + | 0.0715803i | 0.684443 | − | 0.729066i | \(-0.260045\pi\) |
−0.599137 | + | 0.800646i | \(0.704490\pi\) | |||||||
\(332\) | −7.54937 | + | 13.0759i | −0.414325 | + | 0.717633i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.99923 | − | 5.19481i | −0.164110 | − | 0.284247i | ||||
\(335\) | 1.36047 | − | 7.71563i | 0.0743306 | − | 0.421550i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.4525 | + | 5.26029i | 0.787280 | + | 0.286546i | 0.704205 | − | 0.709997i | \(-0.251304\pi\) |
0.0830749 | + | 0.996543i | \(0.473526\pi\) | |||||||
\(338\) | 0.950049 | + | 0.345790i | 0.0516759 | + | 0.0188085i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.29458 | + | 7.34191i | −0.0702083 | + | 0.398171i | ||||
\(341\) | 1.44372 | + | 2.50059i | 0.0781818 | + | 0.135415i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.43380 | − | 16.3398i | 0.509377 | − | 0.882267i | ||||
\(344\) | −6.49605 | − | 5.45084i | −0.350244 | − | 0.293889i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.353466 | + | 2.00461i | 0.0190024 | + | 0.107768i | ||||
\(347\) | −0.887983 | + | 0.745107i | −0.0476695 | + | 0.0399994i | −0.666311 | − | 0.745674i | \(-0.732128\pi\) |
0.618642 | + | 0.785673i | \(0.287683\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.85238 | − | 1.76612i | 0.259742 | − | 0.0945383i | −0.208867 | − | 0.977944i | \(-0.566978\pi\) |
0.468609 | + | 0.883406i | \(0.344755\pi\) | |||||||
\(350\) | 1.29050 | 0.0689799 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.01791 | 0.320756 | ||||||||
\(353\) | −11.4102 | + | 4.15296i | −0.607301 | + | 0.221040i | −0.627322 | − | 0.778760i | \(-0.715849\pi\) |
0.0200207 | + | 0.999800i | \(0.493627\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.97081 | − | 3.33191i | 0.210749 | − | 0.176839i | ||||
\(356\) | −1.07951 | − | 6.12219i | −0.0572138 | − | 0.324475i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.17558 | + | 1.82553i | 0.114983 | + | 0.0964823i | ||||
\(359\) | 4.44707 | − | 7.70256i | 0.234708 | − | 0.406525i | −0.724480 | − | 0.689296i | \(-0.757920\pi\) |
0.959188 | + | 0.282770i | \(0.0912534\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.87985 | + | 15.3803i | 0.467360 | + | 0.809492i | ||||
\(362\) | −0.0591609 | + | 0.335518i | −0.00310943 | + | 0.0176344i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −31.1310 | − | 11.3308i | −1.63171 | − | 0.593893i | ||||
\(365\) | 4.11142 | + | 1.49643i | 0.215202 | + | 0.0783270i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.79749 | + | 27.2079i | −0.250427 | + | 1.42024i | 0.557117 | + | 0.830434i | \(0.311907\pi\) |
−0.807544 | + | 0.589807i | \(0.799204\pi\) | |||||||
\(368\) | 14.9442 | + | 25.8841i | 0.779019 | + | 1.34930i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.784813 | − | 1.35934i | 0.0408005 | − | 0.0706685i | ||||
\(371\) | 13.0686 | + | 10.9659i | 0.678488 | + | 0.569319i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.35646 | − | 30.3780i | −0.277347 | − | 1.57291i | −0.731407 | − | 0.681942i | \(-0.761136\pi\) |
0.454060 | − | 0.890971i | \(-0.349975\pi\) | |||||||
\(374\) | 1.59505 | − | 1.33841i | 0.0824783 | − | 0.0692075i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.9858 | + | 4.72643i | −0.669689 | + | 0.243747i | ||||
\(377\) | −2.42019 | −0.124646 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.0219 | −1.07982 | −0.539911 | − | 0.841722i | \(-0.681542\pi\) | ||||
−0.539911 | + | 0.841722i | \(0.681542\pi\) | |||||||
\(380\) | 1.99833 | − | 0.727331i | 0.102512 | − | 0.0373113i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.44467 | + | 4.56862i | −0.278574 | + | 0.233751i | ||||
\(383\) | 3.73782 | + | 21.1982i | 0.190994 | + | 1.08318i | 0.918009 | + | 0.396559i | \(0.129796\pi\) |
−0.727016 | + | 0.686621i | \(0.759093\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.82458 | + | 4.88740i | 0.296848 | + | 0.249085i | ||||
\(386\) | −0.408561 | + | 0.707648i | −0.0207952 | + | 0.0360184i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.90157 | − | 3.29361i | −0.0965374 | − | 0.167208i | ||||
\(389\) | −2.32909 | + | 13.2089i | −0.118089 | + | 0.669718i | 0.867085 | + | 0.498161i | \(0.165991\pi\) |
−0.985174 | + | 0.171558i | \(0.945120\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 31.6456 | + | 11.5181i | 1.60039 | + | 0.582494i | ||||
\(392\) | −12.5986 | − | 4.58552i | −0.636327 | − | 0.231604i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.745742 | + | 4.22931i | −0.0375699 | + | 0.213070i | ||||
\(395\) | 6.44535 | + | 11.1637i | 0.324301 | + | 0.561706i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.50299 | − | 14.7276i | 0.426753 | − | 0.739158i | −0.569829 | − | 0.821763i | \(-0.692991\pi\) |
0.996582 | + | 0.0826052i | \(0.0263241\pi\) | |||||||
\(398\) | −4.90219 | − | 4.11343i | −0.245725 | − | 0.206187i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.601708 | + | 3.41245i | 0.0300854 | + | 0.170623i | ||||
\(401\) | −4.77991 | + | 4.01082i | −0.238697 | + | 0.200291i | −0.754287 | − | 0.656545i | \(-0.772017\pi\) |
0.515590 | + | 0.856836i | \(0.327573\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.19126 | + | 2.25343i | −0.308409 | + | 0.112252i | ||||
\(404\) | 17.5049 | 0.870899 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.772161 | −0.0383217 | ||||||||
\(407\) | 8.69033 | − | 3.16302i | 0.430764 | − | 0.156785i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.35423 | − | 6.17093i | 0.363643 | − | 0.305133i | −0.442598 | − | 0.896720i | \(-0.645943\pi\) |
0.806241 | + | 0.591587i | \(0.201499\pi\) | |||||||
\(410\) | 0.0395476 | + | 0.224286i | 0.00195312 | + | 0.0110767i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.65186 | − | 2.22517i | −0.130648 | − | 0.109626i | ||||
\(413\) | 29.6386 | − | 51.3355i | 1.45842 | − | 2.52606i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.95362 | + | 6.84787i | 0.194075 | + | 0.336149i | ||||
\(416\) | −2.38449 | + | 13.5231i | −0.116909 | + | 0.663027i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.558124 | − | 0.203140i | −0.0272987 | − | 0.00993592i | ||||
\(419\) | 14.1004 | + | 5.13212i | 0.688849 | + | 0.250721i | 0.662642 | − | 0.748936i | \(-0.269435\pi\) |
0.0262069 | + | 0.999657i | \(0.491657\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.43175 | − | 36.4763i | 0.313464 | − | 1.77774i | −0.267240 | − | 0.963630i | \(-0.586112\pi\) |
0.580705 | − | 0.814114i | \(-0.302777\pi\) | |||||||
\(422\) | −3.03032 | − | 5.24867i | −0.147514 | − | 0.255501i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.33902 | − | 4.05130i | 0.113593 | − | 0.196749i | ||||
\(425\) | 2.99086 | + | 2.50963i | 0.145078 | + | 0.121735i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.31639 | + | 35.8220i | 0.305671 | + | 1.73355i | ||||
\(428\) | 5.43114 | − | 4.55727i | 0.262524 | − | 0.220284i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.03827 | + | 0.741870i | −0.0982942 | + | 0.0357762i | ||||
\(431\) | 14.3326 | 0.690378 | 0.345189 | − | 0.938533i | \(-0.387815\pi\) | ||||
0.345189 | + | 0.938533i | \(0.387815\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.4669 | 0.695233 | 0.347616 | − | 0.937637i | \(-0.386991\pi\) | ||||
0.347616 | + | 0.937637i | \(0.386991\pi\) | |||||||
\(434\) | −1.97532 | + | 0.718958i | −0.0948185 | + | 0.0345111i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.74132 | − | 3.97844i | 0.227068 | − | 0.190533i | ||||
\(437\) | −1.66810 | − | 9.46025i | −0.0797959 | − | 0.452545i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.4536 | − | 9.61070i | −0.546650 | − | 0.458694i | 0.327155 | − | 0.944971i | \(-0.393910\pi\) |
−0.873805 | + | 0.486277i | \(0.838355\pi\) | |||||||
\(440\) | 1.04248 | − | 1.80564i | 0.0496985 | − | 0.0860803i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.37559 | + | 4.11465i | 0.112995 | + | 0.195714i | ||||
\(443\) | 6.01661 | − | 34.1219i | 0.285858 | − | 1.62118i | −0.416348 | − | 0.909205i | \(-0.636690\pi\) |
0.702206 | − | 0.711974i | \(-0.252199\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.05932 | − | 1.11350i | −0.145026 | − | 0.0527851i | ||||
\(446\) | −1.63494 | − | 0.595069i | −0.0774166 | − | 0.0281773i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.40112 | − | 24.9600i | 0.207933 | − | 1.17925i | ||||
\(449\) | −12.7777 | − | 22.1315i | −0.603015 | − | 1.04445i | −0.992362 | − | 0.123361i | \(-0.960633\pi\) |
0.389347 | − | 0.921091i | \(-0.372701\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.670925 | + | 1.16208i | −0.0315926 | + | 0.0547201i | ||||
\(452\) | 17.9908 | + | 15.0960i | 0.846214 | + | 0.710058i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.799800 | + | 4.53589i | 0.0375365 | + | 0.212880i | ||||
\(455\) | −13.2906 | + | 11.1521i | −0.623074 | + | 0.522821i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 18.0578 | − | 6.57250i | 0.844707 | − | 0.307448i | 0.116827 | − | 0.993152i | \(-0.462728\pi\) |
0.727881 | + | 0.685704i | \(0.240506\pi\) | |||||||
\(458\) | −0.742248 | −0.0346830 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 16.4703 | 0.767934 | ||||||||
\(461\) | −10.5314 | + | 3.83312i | −0.490497 | + | 0.178526i | −0.575415 | − | 0.817862i | \(-0.695159\pi\) |
0.0849181 | + | 0.996388i | \(0.472937\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.75323 | + | 8.18393i | −0.453271 | + | 0.380340i | −0.840648 | − | 0.541582i | \(-0.817826\pi\) |
0.387377 | + | 0.921921i | \(0.373381\pi\) | |||||||
\(464\) | −0.360029 | − | 2.04182i | −0.0167139 | − | 0.0947893i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.94254 | + | 1.62998i | 0.0899862 | + | 0.0755074i | ||||
\(467\) | −16.4688 | + | 28.5249i | −0.762087 | + | 1.31997i | 0.179687 | + | 0.983724i | \(0.442492\pi\) |
−0.941773 | + | 0.336249i | \(0.890842\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.8029 | + | 29.1034i | 0.775884 | + | 1.34387i | ||||
\(470\) | −0.613808 | + | 3.48108i | −0.0283128 | + | 0.160570i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −15.2743 | − | 5.55940i | −0.703058 | − | 0.255892i | ||||
\(473\) | −12.0093 | − | 4.37101i | −0.552186 | − | 0.200979i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.193390 | − | 1.09677i | 0.00887335 | − | 0.0503233i | ||||
\(476\) | −15.9890 | − | 27.6937i | −0.732854 | − | 1.26934i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.29398 | − | 3.97328i | 0.104924 | − | 0.181734i | ||||
\(479\) | 16.9755 | + | 14.2441i | 0.775628 | + | 0.650829i | 0.942144 | − | 0.335209i | \(-0.108807\pi\) |
−0.166515 | + | 0.986039i | \(0.553252\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.66438 | + | 20.7818i | 0.167082 | + | 0.947566i | ||||
\(482\) | 0.149992 | − | 0.125858i | 0.00683193 | − | 0.00573267i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.0995 | + | 5.13178i | −0.640885 | + | 0.233263i | ||||
\(485\) | −1.99171 | −0.0904388 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.7072 | −0.711761 | −0.355881 | − | 0.934531i | \(-0.615819\pi\) | ||||
−0.355881 | + | 0.934531i | \(0.615819\pi\) | |||||||
\(488\) | 9.37289 | − | 3.41145i | 0.424291 | − | 0.154429i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.62707 | + | 2.20437i | −0.118679 | + | 0.0995835i | ||||
\(491\) | 4.61638 | + | 26.1808i | 0.208334 | + | 1.18152i | 0.892106 | + | 0.451826i | \(0.149227\pi\) |
−0.683772 | + | 0.729696i | \(0.739662\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.78956 | − | 1.50162i | −0.0805978 | − | 0.0676296i | ||||
\(494\) | 0.677634 | − | 1.17370i | 0.0304882 | − | 0.0528071i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.82215 | − | 4.88811i | −0.126718 | − | 0.219483i | ||||
\(497\) | −3.86090 | + | 21.8963i | −0.173185 | + | 0.982182i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.98733 | + | 0.723329i | 0.0889652 | + | 0.0323807i | 0.386119 | − | 0.922449i | \(-0.373815\pi\) |
−0.297154 | + | 0.954830i | \(0.596038\pi\) | |||||||
\(500\) | 1.79433 | + | 0.653082i | 0.0802448 | + | 0.0292067i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.321747 | − | 1.82472i | 0.0143603 | − | 0.0814412i | ||||
\(503\) | 4.80026 | + | 8.31430i | 0.214033 | + | 0.370716i | 0.952973 | − | 0.303055i | \(-0.0980066\pi\) |
−0.738940 | + | 0.673771i | \(0.764673\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.58366 | − | 7.93914i | 0.203970 | − | 0.353287i | ||||
\(506\) | −3.52388 | − | 2.95688i | −0.156655 | − | 0.131450i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.65129 | + | 20.7075i | 0.162000 | + | 0.918748i | ||||
\(509\) | 3.02405 | − | 2.53748i | 0.134039 | − | 0.112472i | −0.573304 | − | 0.819343i | \(-0.694338\pi\) |
0.707342 | + | 0.706871i | \(0.249894\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.6354 | + | 6.41876i | −0.780144 | + | 0.283949i | ||||
\(512\) | −19.9150 | −0.880128 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.10969 | 0.0930544 | ||||||||
\(515\) | −1.70359 | + | 0.620058i | −0.0750694 | + | 0.0273230i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.9540 | + | 13.3870i | −0.701657 | + | 0.588760i | ||||
\(518\) | 1.16912 | + | 6.63042i | 0.0513683 | + | 0.291324i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.64447 | + | 3.05807i | 0.159820 | + | 0.134105i | ||||
\(521\) | −12.6619 | + | 21.9311i | −0.554729 | + | 0.960818i | 0.443196 | + | 0.896425i | \(0.353845\pi\) |
−0.997925 | + | 0.0643933i | \(0.979489\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.76052 | + | 13.4416i | 0.339344 | + | 0.587761i | 0.984309 | − | 0.176451i | \(-0.0564617\pi\) |
−0.644966 | + | 0.764211i | \(0.723128\pi\) | |||||||
\(524\) | 5.81768 | − | 32.9937i | 0.254146 | − | 1.44134i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.49961 | − | 2.00169i | −0.239794 | − | 0.0872780i | ||||
\(527\) | −5.97617 | − | 2.17515i | −0.260326 | − | 0.0947509i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.92553 | − | 50.6192i | 0.388066 | − | 2.20083i | ||||
\(530\) | −0.598294 | − | 1.03628i | −0.0259882 | − | 0.0450129i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.56083 | + | 7.89959i | −0.197737 | + | 0.342491i | ||||
\(533\) | −2.34552 | − | 1.96812i | −0.101596 | − | 0.0852488i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.644750 | − | 3.65656i | −0.0278750 | − | 0.158087i | ||||
\(536\) | 7.05922 | − | 5.92338i | 0.304912 | − | 0.255851i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.87962 | + | 1.04810i | −0.124149 | + | 0.0451866i | ||||
\(539\) | −20.2056 | −0.870317 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.7630 | 0.505730 | 0.252865 | − | 0.967502i | \(-0.418627\pi\) | ||||
0.252865 | + | 0.967502i | \(0.418627\pi\) | |||||||
\(542\) | −1.94249 | + | 0.707008i | −0.0834370 | + | 0.0303686i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.1537 | + | 8.51996i | −0.435336 | + | 0.365290i | ||||
\(545\) | −0.562859 | − | 3.19213i | −0.0241102 | − | 0.136736i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.8145 | + | 11.5917i | 0.590665 | + | 0.495627i | 0.888430 | − | 0.459012i | \(-0.151797\pi\) |
−0.297765 | + | 0.954639i | \(0.596241\pi\) | |||||||
\(548\) | −0.340579 | + | 0.589900i | −0.0145488 | + | 0.0251993i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.266655 | − | 0.461860i | −0.0113702 | − | 0.0196938i | ||||
\(551\) | −0.115714 | + | 0.656247i | −0.00492958 | + | 0.0279571i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −51.9584 | − | 18.9113i | −2.20950 | − | 0.804191i | ||||
\(554\) | 7.50989 | + | 2.73338i | 0.319065 | + | 0.116130i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.494455 | − | 2.80419i | 0.0209696 | − | 0.118924i | ||||
\(557\) | 4.95446 | + | 8.58137i | 0.209927 | + | 0.363604i | 0.951691 | − | 0.307056i | \(-0.0993440\pi\) |
−0.741764 | + | 0.670661i | \(0.766011\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.5808 | − | 25.2547i | 0.616701 | − | 1.06816i | ||||
\(560\) | −11.3858 | − | 9.55380i | −0.481137 | − | 0.403722i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.24991 | − | 7.08857i | −0.0527241 | − | 0.299013i | ||||
\(563\) | 0.891731 | − | 0.748251i | 0.0375820 | − | 0.0315350i | −0.623803 | − | 0.781581i | \(-0.714413\pi\) |
0.661385 | + | 0.750046i | \(0.269969\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.5575 | − | 4.20660i | 0.486229 | − | 0.176973i | ||||
\(566\) | 4.06208 | 0.170742 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.09688 | 0.255820 | ||||||||
\(569\) | −4.81240 | + | 1.75157i | −0.201746 | + | 0.0734296i | −0.440917 | − | 0.897548i | \(-0.645347\pi\) |
0.239171 | + | 0.970978i | \(0.423124\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.3635 | + | 9.53515i | −0.475550 | + | 0.399033i | −0.848814 | − | 0.528691i | \(-0.822683\pi\) |
0.373264 | + | 0.927725i | \(0.378238\pi\) | |||||||
\(572\) | 2.37739 | + | 13.4829i | 0.0994038 | + | 0.563747i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.748337 | − | 0.627930i | −0.0312350 | − | 0.0262093i | ||||
\(575\) | 4.31277 | − | 7.46994i | 0.179855 | − | 0.311518i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.7817 | + | 27.3347i | 0.657001 | + | 1.13796i | 0.981388 | + | 0.192035i | \(0.0615086\pi\) |
−0.324387 | + | 0.945924i | \(0.605158\pi\) | |||||||
\(578\) | 0.0917692 | − | 0.520449i | 0.00381710 | − | 0.0216478i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.07363 | − | 0.390768i | −0.0445799 | − | 0.0162258i | ||||
\(581\) | −31.8716 | − | 11.6003i | −1.32226 | − | 0.481262i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.22425 | − | 6.94305i | 0.0507031 | − | 0.287552i | ||||
\(584\) | 2.57311 | + | 4.45676i | 0.106476 | + | 0.184422i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.829490 | − | 1.43672i | 0.0342659 | − | 0.0593503i | ||||
\(587\) | −13.0278 | − | 10.9316i | −0.537713 | − | 0.451195i | 0.333042 | − | 0.942912i | \(-0.391925\pi\) |
−0.870755 | + | 0.491717i | \(0.836369\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.315014 | + | 1.78653i | 0.0129799 | + | 0.0736129i | ||||
\(590\) | −3.18501 | + | 2.67254i | −0.131125 | + | 0.110027i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −16.9877 | + | 6.18301i | −0.698190 | + | 0.254120i | ||||
\(593\) | −42.7865 | −1.75703 | −0.878517 | − | 0.477712i | \(-0.841466\pi\) | ||||
−0.878517 | + | 0.477712i | \(0.841466\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.7469 | −0.686557 | ||||||||
\(596\) | 32.4759 | − | 11.8203i | 1.33026 | − | 0.484177i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.04084 | − | 6.74706i | 0.328814 | − | 0.275908i | ||||
\(599\) | 0.336622 | + | 1.90908i | 0.0137540 | + | 0.0780029i | 0.990912 | − | 0.134511i | \(-0.0429462\pi\) |
−0.977158 | + | 0.212513i | \(0.931835\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.1011 | − | 12.6713i | −0.615986 | − | 0.516874i | 0.280553 | − | 0.959839i | \(-0.409482\pi\) |
−0.896539 | + | 0.442965i | \(0.853927\pi\) | |||||||
\(602\) | 4.65200 | − | 8.05750i | 0.189601 | − | 0.328399i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −20.2499 | − | 35.0739i | −0.823959 | − | 1.42714i | ||||
\(605\) | −1.36449 | + | 7.73842i | −0.0554745 | + | 0.314611i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.8522 | + | 3.94987i | 0.440477 | + | 0.160320i | 0.552732 | − | 0.833359i | \(-0.313585\pi\) |
−0.112255 | + | 0.993679i | \(0.535807\pi\) | |||||||
\(608\) | 3.55287 | + | 1.29314i | 0.144088 | + | 0.0524436i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.443035 | − | 2.51258i | 0.0179380 | − | 0.101731i | ||||
\(611\) | −23.7611 | − | 41.1554i | −0.961271 | − | 1.66497i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.95138 | + | 10.3081i | −0.240374 | + | 0.416340i | −0.960821 | − | 0.277170i | \(-0.910603\pi\) |
0.720447 | + | 0.693510i | \(0.243937\pi\) | |||||||
\(614\) | −1.09870 | − | 0.921923i | −0.0443401 | − | 0.0372058i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.55297 | + | 8.80733i | 0.0625710 | + | 0.354858i | ||||
\(617\) | −22.1687 | + | 18.6018i | −0.892480 | + | 0.748879i | −0.968706 | − | 0.248211i | \(-0.920157\pi\) |
0.0762262 | + | 0.997091i | \(0.475713\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.52194 | − | 2.00982i | 0.221946 | − | 0.0807816i | −0.228654 | − | 0.973508i | \(-0.573432\pi\) |
0.450600 | + | 0.892726i | \(0.351210\pi\) | |||||||
\(620\) | −3.11037 | −0.124915 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.27198 | 0.131194 | ||||||||
\(623\) | 13.1226 | − | 4.77622i | 0.525744 | − | 0.191355i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | 0.648770 | + | 3.67936i | 0.0259301 | + | 0.147057i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.00969 | + | 6.72093i | 0.319621 | + | 0.268194i | ||||
\(629\) | −10.1846 | + | 17.6403i | −0.406087 | + | 0.703364i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.1424 | − | 17.5671i | −0.403761 | − | 0.699335i | 0.590415 | − | 0.807100i | \(-0.298964\pi\) |
−0.994176 | + | 0.107765i | \(0.965631\pi\) | |||||||
\(632\) | −2.63287 | + | 14.9317i | −0.104730 | + | 0.593953i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.11921 | + | 1.13530i | 0.123880 | + | 0.0450885i | ||||
\(635\) | 10.3478 | + | 3.76628i | 0.410638 | + | 0.149460i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.00613 | − | 45.4050i | 0.317214 | − | 1.79901i | ||||
\(638\) | 0.159552 | + | 0.276352i | 0.00631671 | + | 0.0109409i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.28377 | + | 7.41971i | −0.169331 | + | 0.293290i | ||||
\(641\) | −7.37134 | − | 6.18529i | −0.291151 | − | 0.244304i | 0.485499 | − | 0.874237i | \(-0.338638\pi\) |
−0.776650 | + | 0.629933i | \(0.783082\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.13466 | − | 6.43500i | −0.0447468 | − | 0.253772i | 0.954226 | − | 0.299087i | \(-0.0966819\pi\) |
−0.998973 | + | 0.0453151i | \(0.985571\pi\) | |||||||
\(644\) | −54.1190 | + | 45.4113i | −2.13259 | + | 1.78945i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.22929 | − | 0.447425i | 0.0483658 | − | 0.0176037i | ||||
\(647\) | 4.88147 | 0.191910 | 0.0959551 | − | 0.995386i | \(-0.469409\pi\) | ||||
0.0959551 | + | 0.995386i | \(0.469409\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24.4969 | −0.961587 | ||||||||
\(650\) | 1.14353 | − | 0.416210i | 0.0448528 | − | 0.0163251i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.3103 | − | 22.0769i | 1.03039 | − | 0.864600i | ||||
\(653\) | −1.09046 | − | 6.18430i | −0.0426730 | − | 0.242010i | 0.956009 | − | 0.293338i | \(-0.0947660\pi\) |
−0.998682 | + | 0.0513272i | \(0.983655\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −13.4406 | − | 11.2780i | −0.525166 | − | 0.440667i | ||||
\(656\) | 1.31151 | − | 2.27161i | 0.0512059 | − | 0.0886913i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.58098 | − | 13.1306i | −0.295537 | − | 0.511886i | ||||
\(659\) | −1.25353 | + | 7.10913i | −0.0488307 | + | 0.276933i | −0.999440 | − | 0.0334569i | \(-0.989348\pi\) |
0.950609 | + | 0.310389i | \(0.100459\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −41.0593 | − | 14.9444i | −1.59702 | − | 0.581268i | −0.618206 | − | 0.786016i | \(-0.712140\pi\) |
−0.978815 | + | 0.204748i | \(0.934363\pi\) | |||||||
\(662\) | 0.572781 | + | 0.208475i | 0.0222618 | + | 0.00810263i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.61502 | + | 9.15922i | −0.0626748 | + | 0.355447i | ||||
\(665\) | 2.38851 | + | 4.13703i | 0.0926226 | + | 0.160427i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.58053 | + | 4.46960i | −0.0999183 | + | 0.173064i | ||||
\(668\) | 29.1639 | + | 24.4714i | 1.12839 | + | 0.946828i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.409311 | − | 2.32132i | −0.0158131 | − | 0.0896803i | ||||
\(671\) | 11.5153 | − | 9.66250i | 0.444544 | − | 0.373017i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.3471 | + | 12.1373i | −1.28543 | + | 0.467860i | −0.892226 | − | 0.451589i | \(-0.850857\pi\) |
−0.393209 | + | 0.919449i | \(0.628635\pi\) | |||||||
\(674\) | 4.62723 | 0.178234 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.41672 | −0.246797 | ||||||||
\(677\) | 13.4876 | − | 4.90907i | 0.518369 | − | 0.188671i | −0.0695687 | − | 0.997577i | \(-0.522162\pi\) |
0.587937 | + | 0.808906i | \(0.299940\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.54445 | − | 5.49144i | 0.251153 | − | 0.210742i | ||||
\(680\) | 0.797433 | + | 4.52247i | 0.0305802 | + | 0.173429i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.665472 | + | 0.558397i | 0.0254822 | + | 0.0213821i | ||||
\(683\) | 7.28683 | − | 12.6212i | 0.278823 | − | 0.482935i | −0.692270 | − | 0.721639i | \(-0.743389\pi\) |
0.971092 | + | 0.238704i | \(0.0767225\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.178362 | + | 0.308931i | 0.00681485 | + | 0.0118037i | ||||
\(686\) | 0.985712 | − | 5.59025i | 0.0376346 | − | 0.213437i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 23.4755 | + | 8.54437i | 0.894994 | + | 0.325751i | ||||
\(689\) | 15.1170 | + | 5.50213i | 0.575911 | + | 0.209614i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.75235 | + | 26.9519i | −0.180788 | + | 1.02530i | 0.750461 | + | 0.660915i | \(0.229832\pi\) |
−0.931249 | + | 0.364384i | \(0.881280\pi\) | |||||||
\(692\) | −6.45952 | − | 11.1882i | −0.245554 | − | 0.425312i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.174375 | + | 0.302026i | −0.00661918 | + | 0.0114648i | ||||
\(695\) | −1.14234 | − | 0.958535i | −0.0433313 | − | 0.0363593i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.513214 | − | 2.91058i | −0.0194394 | − | 0.110246i | ||||
\(698\) | 1.19011 | − | 0.998618i | 0.0450462 | − | 0.0377983i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.69653 | + | 2.80131i | −0.290902 | + | 0.105880i | ||||
\(701\) | 30.5667 | 1.15449 | 0.577243 | − | 0.816572i | \(-0.304128\pi\) | ||||
0.577243 | + | 0.816572i | \(0.304128\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.81029 | 0.219139 | ||||||||
\(704\) | −9.84243 | + | 3.58235i | −0.370951 | + | 0.135015i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.79848 | + | 2.34821i | −0.105322 | + | 0.0883759i | ||||
\(707\) | 6.82820 | + | 38.7246i | 0.256801 | + | 1.45639i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.3456 | + | 9.52012i | 0.426094 | + | 0.357536i | 0.830476 | − | 0.557055i | \(-0.188069\pi\) |
−0.404381 | + | 0.914590i | \(0.632513\pi\) | |||||||
\(710\) | 0.779756 | − | 1.35058i | 0.0292637 | − | 0.0506862i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.91466 | − | 3.31629i | −0.0717549 | − | 0.124283i | ||||
\(713\) | −2.43979 | + | 13.8367i | −0.0913708 | + | 0.518190i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.73753 | + | 2.45226i | 0.251969 | + | 0.0917093i | ||||
\(716\) | −16.9379 | − | 6.16490i | −0.633000 | − | 0.230393i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.464662 | − | 2.63523i | 0.0173410 | − | 0.0983460i | ||||
\(719\) | 2.62426 | + | 4.54535i | 0.0978684 | + | 0.169513i | 0.910802 | − | 0.412843i | \(-0.135464\pi\) |
−0.812934 | + | 0.582356i | \(0.802131\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.88816 | − | 6.73449i | 0.144803 | − | 0.250805i | ||||
\(722\) | 4.09310 | + | 3.43452i | 0.152329 | + | 0.127820i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.375481 | − | 2.12946i | −0.0139546 | − | 0.0791407i | ||||
\(725\) | −0.458359 | + | 0.384609i | −0.0170230 | + | 0.0142840i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −44.6043 | + | 16.2347i | −1.65428 | + | 0.602110i | −0.989449 | − | 0.144881i | \(-0.953720\pi\) |
−0.664834 | + | 0.746991i | \(0.731498\pi\) | |||||||
\(728\) | −20.4067 | −0.756324 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.31634 | 0.0487200 | ||||||||
\(731\) | 26.4509 | − | 9.62734i | 0.978322 | − | 0.356080i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −29.7170 | + | 24.9355i | −1.09762 | + | 0.921014i | −0.997263 | − | 0.0739377i | \(-0.976443\pi\) |
−0.100358 | + | 0.994951i | \(0.531999\pi\) | |||||||
\(734\) | 1.44337 | + | 8.18574i | 0.0532757 | + | 0.302141i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.4321 | + | 18.8227i | 0.826857 | + | 0.693815i | ||||
\(737\) | 6.94396 | − | 12.0273i | 0.255784 | − | 0.443031i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.71235 | + | 13.3582i | 0.283704 | + | 0.491389i | 0.972294 | − | 0.233762i | \(-0.0751035\pi\) |
−0.688590 | + | 0.725150i | \(0.741770\pi\) | |||||||
\(740\) | −1.72989 | + | 9.81071i | −0.0635921 | + | 0.360649i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.82307 | + | 1.75546i | 0.177061 | + | 0.0644448i | ||||
\(743\) | −38.6448 | − | 14.0656i | −1.41774 | − | 0.516015i | −0.484349 | − | 0.874875i | \(-0.660943\pi\) |
−0.933391 | + | 0.358860i | \(0.883166\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.14289 | − | 17.8242i | 0.115147 | − | 0.653029i | ||||
\(746\) | −4.64024 | − | 8.03714i | −0.169891 | − | 0.294260i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.60761 | + | 11.4447i | −0.241598 | + | 0.418460i | ||||
\(749\) | 12.2002 | + | 10.2372i | 0.445787 | + | 0.374060i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.93875 | − | 50.6942i | −0.326180 | − | 1.84986i | −0.501253 | − | 0.865301i | \(-0.667128\pi\) |
0.175074 | − | 0.984555i | \(-0.443984\pi\) | |||||||
\(752\) | 31.1866 | − | 26.1687i | 1.13726 | − | 0.954273i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.684223 | + | 0.249037i | −0.0249179 | + | 0.00906939i | ||||
\(755\) | −21.2099 | −0.771906 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 36.7855 | 1.33699 | 0.668497 | − | 0.743715i | \(-0.266938\pi\) | ||||
0.668497 | + | 0.743715i | \(0.266938\pi\) | |||||||
\(758\) | −5.94321 | + | 2.16315i | −0.215867 | + | 0.0785691i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.00346 | − | 0.842004i | 0.0363994 | − | 0.0305427i | ||||
\(761\) | 4.11655 | + | 23.3461i | 0.149225 | + | 0.846295i | 0.963877 | + | 0.266346i | \(0.0858164\pi\) |
−0.814653 | + | 0.579949i | \(0.803072\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.6507 | + | 8.93697i | 0.385580 | + | 0.323540i | ||||
\(764\) | 22.5549 | − | 39.0662i | 0.816007 | − | 1.41337i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.23803 | + | 5.60844i | 0.116995 | + | 0.202641i | ||||
\(767\) | 9.70648 | − | 55.0482i | 0.350481 | − | 1.98767i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.3649 | + | 3.77252i | 0.373768 | + | 0.136040i | 0.522072 | − | 0.852901i | \(-0.325159\pi\) |
−0.148304 | + | 0.988942i | \(0.547381\pi\) | |||||||
\(770\) | 2.14961 | + | 0.782394i | 0.0774665 | + | 0.0281955i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.900555 | − | 5.10730i | 0.0324117 | − | 0.183816i | ||||
\(773\) | 22.1299 | + | 38.3301i | 0.795958 | + | 1.37864i | 0.922229 | + | 0.386644i | \(0.126366\pi\) |
−0.126272 | + | 0.991996i | \(0.540301\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.814452 | + | 1.41067i | −0.0292560 | + | 0.0506728i | ||||
\(776\) | −1.79458 | − | 1.50583i | −0.0644216 | − | 0.0540561i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.700727 | + | 3.97402i | 0.0251223 | + | 0.142475i | ||||
\(779\) | −0.645811 | + | 0.541900i | −0.0231386 | + | 0.0194156i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.63433 | − | 3.14264i | 0.308960 | − | 0.112452i | ||||
\(782\) | 10.1319 | 0.362316 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 39.4976 | 1.41063 | ||||||||
\(785\) | 5.14555 | − | 1.87283i | 0.183652 | − | 0.0668440i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −31.5179 | + | 26.4467i | −1.12349 | + | 0.942722i | −0.998776 | − | 0.0494704i | \(-0.984247\pi\) |
−0.124717 | + | 0.992192i | \(0.539802\pi\) | |||||||
\(788\) | −4.73305 | − | 26.8425i | −0.168608 | − | 0.956224i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.97094 | + | 2.49291i | 0.105701 | + | 0.0886939i | ||||
\(791\) | −26.3781 | + | 45.6882i | −0.937896 | + | 1.62448i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.1503 | + | 29.7053i | 0.609026 | + | 1.05486i | ||||
\(794\) | 0.888454 | − | 5.03867i | 0.0315301 | − | 0.178816i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 38.1659 | + | 13.8912i | 1.35275 | + | 0.492362i | ||||
\(797\) | 21.9590 | + | 7.99243i | 0.777828 | + | 0.283106i | 0.700267 | − | 0.713881i | \(-0.253064\pi\) |
0.0775615 | + | 0.996988i | \(0.475287\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.96546 | − | 45.1743i | 0.281798 | − | 1.59815i | ||||
\(800\) | 1.69746 | + | 2.94008i | 0.0600141 | + | 0.103948i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.938639 | + | 1.62577i | −0.0331445 | + | 0.0574080i | ||||
\(803\) | 5.94124 | + | 4.98529i | 0.209662 | + | 0.175927i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.42466 | + | 36.4361i | 0.226440 | + | 1.28420i | ||||
\(806\) | −1.51848 | + | 1.27416i | −0.0534863 | + | 0.0448803i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.1324 | − | 3.68788i | 0.356455 | − | 0.129739i | ||||
\(809\) | 16.4420 | 0.578070 | 0.289035 | − | 0.957319i | \(-0.406666\pi\) | ||||
0.289035 | + | 0.957319i | \(0.406666\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.2346 | 1.72886 | 0.864430 | − | 0.502753i | \(-0.167679\pi\) | ||||
0.864430 | + | 0.502753i | \(0.167679\pi\) | |||||||
\(812\) | 4.60518 | − | 1.67615i | 0.161610 | − | 0.0588213i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.13141 | − | 1.78847i | 0.0747059 | − | 0.0626857i | ||||
\(815\) | −3.12339 | − | 17.7136i | −0.109407 | − | 0.620481i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.15080 | − | 5.16113i | −0.215189 | − | 0.180565i | ||||
\(818\) | 1.44416 | − | 2.50136i | 0.0504940 | − | 0.0874582i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.722725 | − | 1.25180i | −0.0252386 | − | 0.0437146i | ||||
\(821\) | 0.479682 | − | 2.72041i | 0.0167410 | − | 0.0949431i | −0.975292 | − | 0.220918i | \(-0.929095\pi\) |
0.992033 | + | 0.125975i | \(0.0402058\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31.0031 | + | 11.2842i | 1.08070 | + | 0.393343i | 0.820169 | − | 0.572122i | \(-0.193880\pi\) |
0.260533 | + | 0.965465i | \(0.416102\pi\) | |||||||
\(824\) | −2.00377 | − | 0.729314i | −0.0698048 | − | 0.0254069i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.09685 | − | 17.5631i | 0.107753 | − | 0.611099i | ||||
\(827\) | −27.3913 | − | 47.4431i | −0.952489 | − | 1.64976i | −0.740013 | − | 0.672592i | \(-0.765181\pi\) |
−0.212475 | − | 0.977166i | \(-0.568153\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.5346 | + | 44.2272i | −0.886852 | + | 1.53607i | −0.0432768 | + | 0.999063i | \(0.513780\pi\) |
−0.843576 | + | 0.537010i | \(0.819554\pi\) | |||||||
\(830\) | 1.82239 | + | 1.52917i | 0.0632561 | + | 0.0530782i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.15018 | − | 23.5369i | −0.143882 | − | 0.815994i | ||||
\(833\) | 34.0918 | − | 28.6064i | 1.18121 | − | 0.991154i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.7354 | − | 6.81911i | 0.648364 | − | 0.235985i | ||||
\(836\) | 3.76962 | 0.130375 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.51449 | 0.155950 | ||||||||
\(839\) | −38.7316 | + | 14.0971i | −1.33716 | + | 0.486688i | −0.908918 | − | 0.416975i | \(-0.863090\pi\) |
−0.428245 | + | 0.903663i | \(0.640868\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.9410 | + | 18.4107i | −0.756587 | + | 0.634852i | ||||
\(842\) | −1.93505 | − | 10.9742i | −0.0666862 | − | 0.378196i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 29.4663 | + | 24.7251i | 1.01427 | + | 0.851074i | ||||
\(845\) | −1.68022 | + | 2.91023i | −0.0578015 | + | 0.100115i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.8525 | − | 29.1894i | −0.579059 | − | 1.00296i | ||||
\(848\) | −2.39313 | + | 13.5721i | −0.0821806 | + | 0.466069i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.10380 | + | 0.401750i | 0.0378600 | + | 0.0137799i | ||||
\(851\) | 42.2869 | + | 15.3912i | 1.44958 | + | 0.527602i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.58449 | − | 20.3286i | 0.122730 | − | 0.696039i | −0.859900 | − | 0.510463i | \(-0.829474\pi\) |
0.982630 | − | 0.185576i | \(-0.0594150\pi\) | |||||||
\(854\) | 5.47182 | + | 9.47746i | 0.187242 | + | 0.324312i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.18360 | − | 3.78211i | 0.0746339 | − | 0.129270i | ||||
\(857\) | −28.2977 | − | 23.7446i | −0.966630 | − | 0.811099i | 0.0153887 | − | 0.999882i | \(-0.495101\pi\) |
−0.982019 | + | 0.188783i | \(0.939546\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.11514 | + | 23.3381i | 0.140407 | + | 0.796286i | 0.970941 | + | 0.239318i | \(0.0769240\pi\) |
−0.830535 | + | 0.556967i | \(0.811965\pi\) | |||||||
\(860\) | 10.5459 | − | 8.84905i | 0.359612 | − | 0.301750i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.05205 | − | 1.47482i | 0.138013 | − | 0.0502327i | ||||
\(863\) | −36.6147 | −1.24638 | −0.623189 | − | 0.782072i | \(-0.714163\pi\) | ||||
−0.623189 | + | 0.782072i | \(0.714163\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.76573 | −0.230042 | ||||||||
\(866\) | 4.09000 | − | 1.48864i | 0.138984 | − | 0.0505859i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.2202 | − | 8.57576i | 0.346896 | − | 0.291080i | ||||
\(869\) | 3.96793 | + | 22.5032i | 0.134603 | + | 0.763370i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.2757 | + | 20.3697i | 0.822550 | + | 0.690202i | ||||
\(872\) | 1.90626 | − | 3.30174i | 0.0645541 | − | 0.111811i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.44505 | − | 2.50291i | −0.0488797 | − | 0.0846621i | ||||
\(875\) | −0.744841 | + | 4.22420i | −0.0251802 | + | 0.142804i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.7520 | − | 8.28105i | −0.768280 | − | 0.279631i | −0.0720034 | − | 0.997404i | \(-0.522939\pi\) |
−0.696277 | + | 0.717773i | \(0.745161\pi\) | |||||||
\(878\) | −4.22704 | − | 1.53852i | −0.142656 | − | 0.0519224i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.06660 | + | 6.04900i | −0.0359552 | + | 0.203912i | ||||
\(881\) | 13.4734 | + | 23.3367i | 0.453931 | + | 0.786232i | 0.998626 | − | 0.0524023i | \(-0.0166878\pi\) |
−0.544695 | + | 0.838634i | \(0.683354\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.494590 | + | 0.856656i | −0.0166443 | + | 0.0288288i | −0.874228 | − | 0.485516i | \(-0.838632\pi\) |
0.857583 | + | 0.514345i | \(0.171965\pi\) | |||||||
\(884\) | −23.0998 | − | 19.3831i | −0.776932 | − | 0.651923i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.81015 | − | 10.2659i | −0.0608132 | − | 0.344889i | ||||
\(887\) | −19.0122 | + | 15.9532i | −0.638368 | + | 0.535655i | −0.903517 | − | 0.428553i | \(-0.859024\pi\) |
0.265148 | + | 0.964208i | \(0.414579\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −44.3854 | + | 16.1550i | −1.48864 | + | 0.541820i | ||||
\(890\) | −0.979495 | −0.0328328 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 11.0425 | 0.369731 | ||||||||
\(893\) | −12.2956 | + | 4.47523i | −0.411456 | + | 0.149758i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.23124 | + | 6.06773i | −0.241714 | + | 0.202822i | ||||
\(896\) | −6.38146 | − | 36.1910i | −0.213190 | − | 1.20906i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.88977 | − | 4.94210i | −0.196544 | − | 0.164920i | ||||
\(899\) | 0.487323 | − | 0.844068i | 0.0162531 | − | 0.0281512i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.76414 | + | 13.4479i | 0.258661 | + | 0.448014i | ||||
\(902\) | −0.0701031 | + | 0.397575i | −0.00233418 | + | 0.0132378i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 13.5940 | + | 4.94782i | 0.452130 | + | 0.164562i | ||||
\(905\) | −1.06411 | − | 0.387305i | −0.0353723 | − | 0.0128745i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.569479 | − | 3.22968i | 0.0189092 | − | 0.107240i | −0.973892 | − | 0.227010i | \(-0.927105\pi\) |
0.992802 | + | 0.119771i | \(0.0382160\pi\) | |||||||
\(908\) | −14.6162 | − | 25.3160i | −0.485055 | − | 0.840140i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.60990 | + | 4.52048i | −0.0865174 | + | 0.149853i | ||||
\(911\) | 30.1923 | + | 25.3344i | 1.00032 | + | 0.839365i | 0.987028 | − | 0.160546i | \(-0.0513256\pi\) |
0.0132884 | + | 0.999912i | \(0.495770\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.43395 | + | 13.8036i | 0.0805521 | + | 0.456833i | ||||
\(914\) | 4.42890 | − | 3.71629i | 0.146495 | − | 0.122924i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.42678 | − | 1.61122i | 0.146265 | − | 0.0532361i | ||||
\(917\) | 75.2587 | 2.48526 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.02247 | −0.297624 | −0.148812 | − | 0.988866i | \(-0.547545\pi\) | ||||
−0.148812 | + | 0.988866i | \(0.547545\pi\) | |||||||
\(920\) | 9.53356 | − | 3.46993i | 0.314312 | − | 0.114400i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.58296 | + | 2.16736i | −0.0850653 | + | 0.0713782i | ||||
\(923\) | 3.64077 | + | 20.6478i | 0.119837 | + | 0.679632i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.99657 | + | 3.35352i | 0.131406 | + | 0.110263i | ||||
\(926\) | −1.91526 | + | 3.31733i | −0.0629393 | + | 0.109014i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.01566 | − | 1.75918i | −0.0333408 | − | 0.0577480i | ||||
\(929\) | 4.32579 | − | 24.5328i | 0.141925 | − | 0.804894i | −0.827861 | − | 0.560934i | \(-0.810442\pi\) |
0.969785 | − | 0.243960i | \(-0.0784467\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.9290 | − | 4.34181i | −0.390958 | − | 0.142297i | ||||
\(932\) | −15.1235 | − | 5.50452i | −0.495388 | − | 0.180307i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.72078 | + | 9.75904i | −0.0563057 | + | 0.319326i | ||||
\(935\) | 3.46042 | + | 5.99362i | 0.113168 | + | 0.196012i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.7014 | − | 21.9995i | 0.414938 | − | 0.718694i | −0.580484 | − | 0.814272i | \(-0.697137\pi\) |
0.995422 | + | 0.0955779i | \(0.0304699\pi\) | |||||||
\(938\) | 7.74516 | + | 6.49896i | 0.252888 | + | 0.212199i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.89570 | − | 22.0936i | −0.127064 | − | 0.720614i | ||||
\(941\) | −18.5701 | + | 15.5822i | −0.605368 | + | 0.507964i | −0.893166 | − | 0.449727i | \(-0.851521\pi\) |
0.287798 | + | 0.957691i | \(0.407077\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.13563 | + | 2.23319i | −0.199804 | + | 0.0727226i | ||||
\(944\) | 47.8861 | 1.55856 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.84497 | −0.125011 | ||||||||
\(947\) | 10.2582 | − | 3.73369i | 0.333348 | − | 0.121329i | −0.169923 | − | 0.985457i | \(-0.554352\pi\) |
0.503271 | + | 0.864129i | \(0.332130\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.5568 | + | 11.3755i | −0.440073 | + | 0.369265i | ||||
\(950\) | −0.0581832 | − | 0.329973i | −0.00188771 | − | 0.0107057i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −15.0894 | − | 12.6615i | −0.489050 | − | 0.410361i | ||||
\(953\) | −7.28673 | + | 12.6210i | −0.236040 | + | 0.408834i | −0.959575 | − | 0.281455i | \(-0.909183\pi\) |
0.723534 | + | 0.690289i | \(0.242516\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.8120 | − | 20.4590i | −0.382228 | − | 0.662039i | ||||
\(956\) | −5.05641 | + | 28.6763i | −0.163536 | + | 0.927458i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.26493 | + | 2.28025i | 0.202411 | + | 0.0736715i | ||||
\(959\) | −1.43784 | − | 0.523331i | −0.0464303 | − | 0.0168992i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.92235 | + | 27.9160i | −0.158785 | + | 0.900517i | ||||
\(962\) | 3.17442 | + | 5.49825i | 0.102347 | + | 0.177271i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.621349 | + | 1.07621i | −0.0200123 | + | 0.0346623i | ||||
\(965\) | −2.08055 | − | 1.74579i | −0.0669752 | − | 0.0561989i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.32112 | − | 47.1914i | −0.267589 | − | 1.51757i | −0.761560 | − | 0.648095i | \(-0.775566\pi\) |
0.493971 | − | 0.869478i | \(-0.335545\pi\) | |||||||
\(968\) | −7.08006 | + | 5.94088i | −0.227562 | + | 0.190947i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.563086 | + | 0.204946i | −0.0180796 | + | 0.00658043i | ||||
\(971\) | −10.0839 | −0.323608 | −0.161804 | − | 0.986823i | \(-0.551731\pi\) | ||||
−0.161804 | + | 0.986823i | \(0.551731\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.39638 | 0.205058 | ||||||||
\(974\) | −4.44066 | + | 1.61627i | −0.142288 | + | 0.0517886i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −22.5099 | + | 18.8881i | −0.720526 | + | 0.604593i | ||||
\(977\) | −5.59597 | − | 31.7363i | −0.179031 | − | 1.01534i | −0.933387 | − | 0.358870i | \(-0.883162\pi\) |
0.754356 | − | 0.656465i | \(-0.227949\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4.42090 | − | 3.70957i | −0.141293 | − | 0.118558i | ||||
\(980\) | 10.8828 | − | 18.8496i | 0.347638 | − | 0.602128i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.99912 | + | 6.92667i | 0.127617 | + | 0.221039i | ||||
\(983\) | −0.439376 | + | 2.49182i | −0.0140139 | + | 0.0794768i | −0.991013 | − | 0.133768i | \(-0.957292\pi\) |
0.976999 | + | 0.213245i | \(0.0684033\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.4135 | − | 4.88210i | −0.427388 | − | 0.155557i | ||||
\(986\) | −0.660453 | − | 0.240385i | −0.0210331 | − | 0.00765542i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.49365 | + | 8.47090i | −0.0475193 | + | 0.269495i | ||||
\(989\) | −31.0935 | − | 53.8556i | −0.988716 | − | 1.71251i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.3489 | − | 43.9056i | 0.805234 | − | 1.39471i | −0.110899 | − | 0.993832i | \(-0.535373\pi\) |
0.916133 | − | 0.400875i | \(-0.131294\pi\) | |||||||
\(992\) | −4.23621 | − | 3.55461i | −0.134500 | − | 0.112859i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.16159 | + | 6.58769i | 0.0368433 | + | 0.208949i | ||||
\(995\) | 16.2940 | − | 13.6723i | 0.516554 | − | 0.433440i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.1297 | + | 4.77883i | −0.415822 | + | 0.151347i | −0.541455 | − | 0.840730i | \(-0.682126\pi\) |
0.125632 | + | 0.992077i | \(0.459904\pi\) | |||||||
\(998\) | 0.636279 | 0.0201411 | ||||||||
\(999\) | 0 | 0 |
(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 | 405.2.k.a.181.3 | 30 | ||
3.2 | odd | 2 | 135.2.k.a.61.3 | yes | 30 | ||
15.2 | even | 4 | 675.2.u.c.574.5 | 60 | |||
15.8 | even | 4 | 675.2.u.c.574.6 | 60 | |||
15.14 | odd | 2 | 675.2.l.d.601.3 | 30 | |||
27.2 | odd | 18 | 3645.2.a.h.1.9 | 15 | |||
27.4 | even | 9 | inner | 405.2.k.a.226.3 | 30 | ||
27.23 | odd | 18 | 135.2.k.a.31.3 | ✓ | 30 | ||
27.25 | even | 9 | 3645.2.a.g.1.7 | 15 | |||
135.23 | even | 36 | 675.2.u.c.274.5 | 60 | |||
135.77 | even | 36 | 675.2.u.c.274.6 | 60 | |||
135.104 | odd | 18 | 675.2.l.d.301.3 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.k.a.31.3 | ✓ | 30 | 27.23 | odd | 18 | ||
135.2.k.a.61.3 | yes | 30 | 3.2 | odd | 2 | ||
405.2.k.a.181.3 | 30 | 1.1 | even | 1 | trivial | ||
405.2.k.a.226.3 | 30 | 27.4 | even | 9 | inner | ||
675.2.l.d.301.3 | 30 | 135.104 | odd | 18 | |||
675.2.l.d.601.3 | 30 | 15.14 | odd | 2 | |||
675.2.u.c.274.5 | 60 | 135.23 | even | 36 | |||
675.2.u.c.274.6 | 60 | 135.77 | even | 36 | |||
675.2.u.c.574.5 | 60 | 15.2 | even | 4 | |||
675.2.u.c.574.6 | 60 | 15.8 | even | 4 | |||
3645.2.a.g.1.7 | 15 | 27.25 | even | 9 | |||
3645.2.a.h.1.9 | 15 | 27.2 | odd | 18 |