Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(8,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.t (of order \(30\), degree \(8\), 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 62.8 | ||
Character | \(\chi\) | \(=\) | 297.62 |
Dual form | 297.2.t.a.206.8 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.65764 | − | 0.738027i | 1.17213 | − | 0.521864i | 0.274055 | − | 0.961714i | \(-0.411635\pi\) |
0.898071 | + | 0.439850i | \(0.144968\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.864813 | − | 0.960472i | 0.432407 | − | 0.480236i | ||||
\(5\) | 0.488756 | − | 1.09776i | 0.218579 | − | 0.490935i | −0.770660 | − | 0.637246i | \(-0.780073\pi\) |
0.989239 | + | 0.146311i | \(0.0467400\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00654 | − | 4.73540i | 0.380437 | − | 1.78981i | −0.204641 | − | 0.978837i | \(-0.565603\pi\) |
0.585077 | − | 0.810977i | \(-0.301064\pi\) | |||||||
\(8\) | −0.396737 | + | 1.22103i | −0.140268 | + | 0.431700i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 2.18041i | − | 0.689506i | ||||||
\(11\) | −1.36897 | + | 3.02091i | −0.412759 | + | 0.910840i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.04321 | + | 0.319854i | 0.844034 | + | 0.0887116i | 0.516668 | − | 0.856186i | \(-0.327172\pi\) |
0.327366 | + | 0.944897i | \(0.393839\pi\) | |||||||
\(14\) | −1.82638 | − | 8.59243i | −0.488120 | − | 2.29642i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.513703 | + | 4.88755i | 0.128426 | + | 1.22189i | ||||
\(17\) | 1.80866 | − | 1.31407i | 0.438664 | − | 0.318708i | −0.346440 | − | 0.938072i | \(-0.612610\pi\) |
0.785104 | + | 0.619364i | \(0.212610\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.34428 | − | 1.41154i | −0.996645 | − | 0.323830i | −0.235121 | − | 0.971966i | \(-0.575549\pi\) |
−0.761524 | + | 0.648136i | \(0.775549\pi\) | |||||||
\(20\) | −0.631690 | − | 1.41880i | −0.141250 | − | 0.317253i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0397341 | + | 6.01791i | −0.00847133 | + | 1.28302i | ||||
\(23\) | −1.72112 | + | 0.993689i | −0.358878 | + | 0.207199i | −0.668589 | − | 0.743632i | \(-0.733101\pi\) |
0.309710 | + | 0.950831i | \(0.399768\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.37945 | + | 2.64264i | 0.475890 | + | 0.528529i | ||||
\(26\) | 5.28060 | − | 1.71577i | 1.03561 | − | 0.336490i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.67776 | − | 5.06200i | −0.695030 | − | 0.956627i | ||||
\(29\) | 1.65886 | + | 0.352601i | 0.308042 | + | 0.0654763i | 0.359339 | − | 0.933207i | \(-0.383002\pi\) |
−0.0512972 | + | 0.998683i | \(0.516336\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.555254 | + | 5.28289i | −0.0997266 | + | 0.948835i | 0.824209 | + | 0.566286i | \(0.191620\pi\) |
−0.923935 | + | 0.382549i | \(0.875046\pi\) | |||||||
\(32\) | 3.17481 | + | 5.49894i | 0.561233 | + | 0.972084i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.02828 | − | 3.51308i | 0.347847 | − | 0.602489i | ||||
\(35\) | −4.70641 | − | 3.41941i | −0.795528 | − | 0.577985i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.344857 | + | 1.06136i | 0.0566941 | + | 0.174486i | 0.975394 | − | 0.220471i | \(-0.0707594\pi\) |
−0.918699 | + | 0.394957i | \(0.870759\pi\) | |||||||
\(38\) | −8.24299 | + | 0.866373i | −1.33719 | + | 0.140544i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.14650 | + | 1.03231i | 0.181277 | + | 0.163223i | ||||
\(41\) | −10.3998 | + | 2.21054i | −1.62417 | + | 0.345228i | −0.927981 | − | 0.372628i | \(-0.878457\pi\) |
−0.696191 | + | 0.717857i | \(0.745123\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.28272 | + | 1.89528i | 0.500609 | + | 0.289027i | 0.728965 | − | 0.684551i | \(-0.240002\pi\) |
−0.228356 | + | 0.973578i | \(0.573335\pi\) | |||||||
\(44\) | 1.71760 | + | 3.92738i | 0.258938 | + | 0.592075i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.11962 | + | 2.91741i | −0.312521 | + | 0.430149i | ||||
\(47\) | −2.42651 | + | 2.18484i | −0.353943 | + | 0.318692i | −0.826852 | − | 0.562420i | \(-0.809871\pi\) |
0.472909 | + | 0.881111i | \(0.343204\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.0161 | − | 6.68560i | −2.14516 | − | 0.955086i | ||||
\(50\) | 5.89460 | + | 2.62445i | 0.833623 | + | 0.371153i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.93902 | − | 2.64630i | 0.407569 | − | 0.366976i | ||||
\(53\) | −0.749954 | + | 1.03222i | −0.103014 | + | 0.141787i | −0.857412 | − | 0.514631i | \(-0.827929\pi\) |
0.754398 | + | 0.656417i | \(0.227929\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.64716 | + | 2.97930i | 0.356943 | + | 0.401728i | ||||
\(56\) | 5.38274 | + | 3.10773i | 0.719299 | + | 0.415288i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.01001 | − | 0.639797i | 0.395233 | − | 0.0840095i | ||||
\(59\) | −0.0234836 | − | 0.0211447i | −0.00305730 | − | 0.00275281i | 0.667601 | − | 0.744520i | \(-0.267321\pi\) |
−0.670658 | + | 0.741767i | \(0.733988\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.18080 | − | 0.124107i | 0.151186 | − | 0.0158903i | −0.0286330 | − | 0.999590i | \(-0.509115\pi\) |
0.179819 | + | 0.983700i | \(0.442449\pi\) | |||||||
\(62\) | 2.97851 | + | 9.16690i | 0.378271 | + | 1.16420i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.36926 | + | 0.994827i | 0.171158 | + | 0.124353i | ||||
\(65\) | 1.83851 | − | 3.18440i | 0.228039 | − | 0.394976i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.05277 | + | 1.82345i | 0.128617 | + | 0.222770i | 0.923141 | − | 0.384462i | \(-0.125613\pi\) |
−0.794524 | + | 0.607232i | \(0.792280\pi\) | |||||||
\(68\) | 0.302026 | − | 2.87359i | 0.0366261 | − | 0.348474i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −10.3251 | − | 2.19467i | −1.23409 | − | 0.262314i | ||||
\(71\) | −2.26013 | − | 3.11080i | −0.268228 | − | 0.369184i | 0.653563 | − | 0.756873i | \(-0.273274\pi\) |
−0.921790 | + | 0.387688i | \(0.873274\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.69980 | − | 2.17690i | 0.784152 | − | 0.254786i | 0.110540 | − | 0.993872i | \(-0.464742\pi\) |
0.673612 | + | 0.739085i | \(0.264742\pi\) | |||||||
\(74\) | 1.35496 | + | 1.50483i | 0.157511 | + | 0.174934i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.11273 | + | 2.95184i | −0.586471 | + | 0.338599i | ||||
\(77\) | 12.9273 | + | 9.52329i | 1.47321 | + | 1.08528i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.55422 | − | 3.49084i | −0.174863 | − | 0.392750i | 0.804758 | − | 0.593603i | \(-0.202295\pi\) |
−0.979621 | + | 0.200854i | \(0.935628\pi\) | |||||||
\(80\) | 5.61646 | + | 1.82490i | 0.627940 | + | 0.204030i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −15.6076 | + | 11.3396i | −1.72357 | + | 1.25225i | ||||
\(83\) | −0.759844 | − | 7.22943i | −0.0834037 | − | 0.793533i | −0.953650 | − | 0.300917i | \(-0.902707\pi\) |
0.870247 | − | 0.492616i | \(-0.163959\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.558543 | − | 2.62774i | −0.0605825 | − | 0.285018i | ||||
\(86\) | 6.84032 | + | 0.718946i | 0.737610 | + | 0.0775260i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.14551 | − | 2.87006i | −0.335313 | − | 0.305950i | ||||
\(89\) | − | 10.2875i | − | 1.09048i | −0.838281 | − | 0.545238i | \(-0.816439\pi\) | ||
0.838281 | − | 0.545238i | \(-0.183561\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.57775 | − | 14.0889i | 0.479879 | − | 1.47692i | ||||
\(92\) | −0.534037 | + | 2.51244i | −0.0556772 | + | 0.261940i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.40980 | + | 5.41250i | −0.248552 | + | 0.558257i | ||||
\(95\) | −3.67283 | + | 4.07909i | −0.376825 | + | 0.418506i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.2506 | − | 5.89957i | 1.34540 | − | 0.599010i | 0.397506 | − | 0.917600i | \(-0.369876\pi\) |
0.947893 | + | 0.318589i | \(0.103209\pi\) | |||||||
\(98\) | −29.8254 | −3.01282 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.59597 | 0.459597 | ||||||||
\(101\) | 14.6950 | − | 6.54265i | 1.46221 | − | 0.651018i | 0.487222 | − | 0.873278i | \(-0.338010\pi\) |
0.974987 | + | 0.222260i | \(0.0713435\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.39257 | + | 1.54661i | −0.137214 | + | 0.152392i | −0.807835 | − | 0.589408i | \(-0.799361\pi\) |
0.670621 | + | 0.741800i | \(0.266028\pi\) | |||||||
\(104\) | −1.59791 | + | 3.58896i | −0.156688 | + | 0.351926i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.481342 | + | 2.26454i | −0.0467521 | + | 0.219951i | ||||
\(107\) | 0.129361 | − | 0.398133i | 0.0125058 | − | 0.0384889i | −0.944609 | − | 0.328198i | \(-0.893559\pi\) |
0.957115 | + | 0.289709i | \(0.0935586\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.6788i | 1.40597i | 0.711205 | + | 0.702985i | \(0.248150\pi\) | ||||
−0.711205 | + | 0.702985i | \(0.751850\pi\) | |||||||
\(110\) | 6.58684 | + | 2.98491i | 0.628030 | + | 0.284600i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 23.6616 | + | 2.48694i | 2.23581 | + | 0.234993i | ||||
\(113\) | 0.664620 | + | 3.12679i | 0.0625222 | + | 0.294144i | 0.998289 | − | 0.0584761i | \(-0.0186242\pi\) |
−0.935767 | + | 0.352620i | \(0.885291\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.249629 | + | 2.37506i | 0.0232780 | + | 0.221475i | ||||
\(116\) | 1.77326 | − | 1.28835i | 0.164643 | − | 0.119620i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.0545326 | − | 0.0177187i | −0.00502013 | − | 0.00163114i | ||||
\(119\) | −4.40215 | − | 9.88738i | −0.403544 | − | 0.906375i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.25185 | − | 8.27107i | −0.659259 | − | 0.751916i | ||||
\(122\) | 1.86575 | − | 1.07719i | 0.168917 | − | 0.0975241i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.59388 | + | 5.10202i | 0.412543 | + | 0.458175i | ||||
\(125\) | 9.77817 | − | 3.17712i | 0.874587 | − | 0.284170i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.1088 | − | 18.0428i | −1.16322 | − | 1.60104i | −0.698567 | − | 0.715545i | \(-0.746179\pi\) |
−0.464654 | − | 0.885492i | \(-0.653821\pi\) | |||||||
\(128\) | −9.41780 | − | 2.00181i | −0.832423 | − | 0.176937i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.697414 | − | 6.63545i | 0.0611672 | − | 0.581967i | ||||
\(131\) | −7.74960 | − | 13.4227i | −0.677086 | − | 1.17275i | −0.975855 | − | 0.218421i | \(-0.929909\pi\) |
0.298769 | − | 0.954326i | \(-0.403424\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.0569 | + | 19.1511i | −0.958756 | + | 1.66061i | ||||
\(134\) | 3.09087 | + | 2.24565i | 0.267011 | + | 0.193995i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.886955 | + | 2.72977i | 0.0760557 | + | 0.234075i | ||||
\(137\) | −17.0469 | + | 1.79170i | −1.45641 | + | 0.153075i | −0.799397 | − | 0.600803i | \(-0.794848\pi\) |
−0.657015 | + | 0.753878i | \(0.728181\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.70480 | + | 6.93744i | 0.653513 | + | 0.588426i | 0.927734 | − | 0.373241i | \(-0.121753\pi\) |
−0.274222 | + | 0.961667i | \(0.588420\pi\) | |||||||
\(140\) | −7.35441 | + | 1.56323i | −0.621561 | + | 0.132117i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.04233 | − | 3.48854i | −0.507061 | − | 0.292752i | ||||
\(143\) | −5.13231 | + | 8.75541i | −0.429185 | + | 0.732164i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.19785 | − | 1.64870i | 0.0994759 | − | 0.136917i | ||||
\(146\) | 9.49922 | − | 8.55313i | 0.786161 | − | 0.707862i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.31764 | + | 0.586653i | 0.108310 | + | 0.0482225i | ||||
\(149\) | 0.0369600 | + | 0.0164557i | 0.00302788 | + | 0.00134810i | 0.408250 | − | 0.912870i | \(-0.366139\pi\) |
−0.405222 | + | 0.914218i | \(0.632806\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.04486 | + | 1.84120i | −0.166408 | + | 0.149834i | −0.748127 | − | 0.663555i | \(-0.769047\pi\) |
0.581719 | + | 0.813390i | \(0.302380\pi\) | |||||||
\(152\) | 3.44707 | − | 4.74449i | 0.279594 | − | 0.384829i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 28.4573 | + | 6.24544i | 2.29315 | + | 0.503272i | ||||
\(155\) | 5.52799 | + | 3.19159i | 0.444019 | + | 0.256354i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.06376 | + | 0.438666i | −0.164706 | + | 0.0350094i | −0.289527 | − | 0.957170i | \(-0.593498\pi\) |
0.124820 | + | 0.992179i | \(0.460165\pi\) | |||||||
\(158\) | −5.15266 | − | 4.63948i | −0.409924 | − | 0.369097i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.58825 | − | 0.797557i | 0.599904 | − | 0.0630525i | ||||
\(161\) | 2.97314 | + | 9.15039i | 0.234316 | + | 0.721152i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.8085 | − | 8.57941i | −0.924917 | − | 0.671991i | 0.0198264 | − | 0.999803i | \(-0.493689\pi\) |
−0.944743 | + | 0.327812i | \(0.893689\pi\) | |||||||
\(164\) | −6.87070 | + | 11.9004i | −0.536512 | + | 0.929265i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.59506 | − | 11.4230i | −0.511876 | − | 0.886596i | ||||
\(167\) | −0.0932678 | + | 0.887384i | −0.00721728 | + | 0.0686678i | −0.997538 | − | 0.0701322i | \(-0.977658\pi\) |
0.990320 | + | 0.138800i | \(0.0443245\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.55710 | − | 0.756085i | −0.273623 | − | 0.0581604i | ||||
\(170\) | −2.86520 | − | 3.94362i | −0.219751 | − | 0.302461i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.65930 | − | 1.51390i | 0.355268 | − | 0.115434i | ||||
\(173\) | 8.86427 | + | 9.84476i | 0.673938 | + | 0.748484i | 0.979003 | − | 0.203848i | \(-0.0653448\pi\) |
−0.305065 | + | 0.952332i | \(0.598678\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14.9090 | − | 8.60772i | 1.12701 | − | 0.650682i | ||||
\(176\) | −15.4681 | − | 5.13906i | −1.16595 | − | 0.387371i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.59248 | − | 17.0530i | −0.569080 | − | 1.27817i | ||||
\(179\) | −19.1587 | − | 6.22502i | −1.43199 | − | 0.465280i | −0.512596 | − | 0.858630i | \(-0.671316\pi\) |
−0.919389 | + | 0.393350i | \(0.871316\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.63758 | − | 2.64286i | 0.270379 | − | 0.196442i | −0.444331 | − | 0.895863i | \(-0.646559\pi\) |
0.714710 | + | 0.699421i | \(0.246559\pi\) | |||||||
\(182\) | −2.80973 | − | 26.7328i | −0.208271 | − | 1.98156i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.530493 | − | 2.49578i | −0.0391085 | − | 0.183991i | ||||
\(185\) | 1.33367 | + | 0.140175i | 0.0980537 | + | 0.0103059i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.49369 | + | 7.26271i | 0.109229 | + | 0.531102i | ||||
\(188\) | 4.22008i | 0.307781i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.07774 | + | 9.47231i | −0.223283 | + | 0.687193i | ||||
\(191\) | −3.69541 | + | 17.3855i | −0.267390 | + | 1.25797i | 0.615403 | + | 0.788212i | \(0.288993\pi\) |
−0.882794 | + | 0.469761i | \(0.844340\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.50508 | − | 5.62649i | 0.180319 | − | 0.405004i | −0.800659 | − | 0.599120i | \(-0.795517\pi\) |
0.980979 | + | 0.194116i | \(0.0621839\pi\) | |||||||
\(194\) | 17.6107 | − | 19.5587i | 1.26438 | − | 1.40423i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −19.4075 | + | 8.64076i | −1.38625 | + | 0.617197i | ||||
\(197\) | 22.5100 | 1.60377 | 0.801886 | − | 0.597477i | \(-0.203830\pi\) | ||||
0.801886 | + | 0.597477i | \(0.203830\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.30680 | 0.659742 | 0.329871 | − | 0.944026i | \(-0.392995\pi\) | ||||
0.329871 | + | 0.944026i | \(0.392995\pi\) | |||||||
\(200\) | −4.17077 | + | 1.85695i | −0.294918 | + | 0.131306i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 19.5304 | − | 21.6907i | 1.37415 | − | 1.52615i | ||||
\(203\) | 3.33941 | − | 7.50044i | 0.234381 | − | 0.526428i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.65630 | + | 12.4969i | −0.185524 | + | 0.872823i | ||||
\(206\) | −1.16694 | + | 3.59147i | −0.0813046 | + | 0.250230i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 15.0382i | 1.04271i | ||||||||
\(209\) | 10.2113 | − | 11.1913i | 0.706332 | − | 0.774121i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.9344 | − | 1.46456i | −0.959282 | − | 0.100825i | −0.388073 | − | 0.921629i | \(-0.626859\pi\) |
−0.571210 | + | 0.820804i | \(0.693526\pi\) | |||||||
\(212\) | 0.342852 | + | 1.61299i | 0.0235471 | + | 0.110781i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.0793990 | − | 0.755431i | −0.00542761 | − | 0.0516402i | ||||
\(215\) | 3.68502 | − | 2.67732i | 0.251316 | − | 0.182592i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 24.4577 | + | 7.94680i | 1.66030 | + | 0.539464i | ||||
\(218\) | 10.8333 | + | 24.3320i | 0.733725 | + | 1.64797i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.15083 | + | 0.0340091i | 0.347269 | + | 0.00229289i | ||||
\(221\) | 5.92443 | − | 3.42047i | 0.398520 | − | 0.230086i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.7949 | − | 11.9890i | −0.722881 | − | 0.802841i | 0.263960 | − | 0.964534i | \(-0.414971\pi\) |
−0.986841 | + | 0.161693i | \(0.948305\pi\) | |||||||
\(224\) | 29.2353 | − | 9.49912i | 1.95336 | − | 0.634686i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.40936 | + | 4.69258i | 0.226787 | + | 0.312146i | ||||
\(227\) | 14.3933 | + | 3.05940i | 0.955320 | + | 0.203060i | 0.659096 | − | 0.752059i | \(-0.270939\pi\) |
0.296224 | + | 0.955118i | \(0.404272\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.32043 | + | 22.0774i | −0.153338 | + | 1.45892i | 0.599323 | + | 0.800507i | \(0.295436\pi\) |
−0.752661 | + | 0.658408i | \(0.771230\pi\) | |||||||
\(230\) | 2.16665 | + | 3.75275i | 0.142865 | + | 0.247449i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.08867 | + | 1.88562i | −0.0714744 | + | 0.123797i | ||||
\(233\) | 4.18134 | + | 3.03792i | 0.273929 | + | 0.199021i | 0.716265 | − | 0.697828i | \(-0.245850\pi\) |
−0.442336 | + | 0.896849i | \(0.645850\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.21247 | + | 3.73159i | 0.0790927 | + | 0.243422i | ||||
\(236\) | −0.0406178 | + | 0.00426911i | −0.00264400 | + | 0.000277895i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −14.5943 | − | 13.1408i | −0.946009 | − | 0.851790i | ||||
\(239\) | 13.3666 | − | 2.84115i | 0.864612 | − | 0.183779i | 0.245802 | − | 0.969320i | \(-0.420949\pi\) |
0.618809 | + | 0.785541i | \(0.287615\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.10765 | + | 3.52625i | 0.393428 | + | 0.227146i | 0.683645 | − | 0.729815i | \(-0.260394\pi\) |
−0.290216 | + | 0.956961i | \(0.593727\pi\) | |||||||
\(242\) | −18.1252 | − | 8.35837i | −1.16513 | − | 0.537296i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.901971 | − | 1.24146i | 0.0577428 | − | 0.0794761i | ||||
\(245\) | −14.6784 | + | 13.2165i | −0.937771 | + | 0.844373i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.7691 | − | 5.68515i | −0.812476 | − | 0.361737i | ||||
\(248\) | −6.23028 | − | 2.77390i | −0.395623 | − | 0.176143i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.8639 | − | 12.4831i | 0.876827 | − | 0.789499i | ||||
\(251\) | 3.95496 | − | 5.44354i | 0.249635 | − | 0.343593i | −0.665748 | − | 0.746176i | \(-0.731888\pi\) |
0.915383 | + | 0.402583i | \(0.131888\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.645692 | − | 6.55969i | −0.0405943 | − | 0.412404i | ||||
\(254\) | −35.0457 | − | 20.2337i | −2.19897 | − | 1.26957i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −20.3997 | + | 4.33609i | −1.27498 | + | 0.271006i | ||||
\(257\) | −10.5166 | − | 9.46922i | −0.656009 | − | 0.590673i | 0.272422 | − | 0.962178i | \(-0.412175\pi\) |
−0.928431 | + | 0.371504i | \(0.878842\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.37308 | − | 0.564733i | 0.333867 | − | 0.0350908i | ||||
\(260\) | −1.46856 | − | 4.51975i | −0.0910760 | − | 0.280303i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.7523 | − | 16.5305i | −1.40564 | − | 1.02126i | ||||
\(263\) | −3.47292 | + | 6.01527i | −0.214149 | + | 0.370917i | −0.953009 | − | 0.302942i | \(-0.902031\pi\) |
0.738860 | + | 0.673859i | \(0.235365\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.766593 | + | 1.32778i | 0.0470914 | + | 0.0815648i | ||||
\(266\) | −4.19428 | + | 39.9059i | −0.257168 | + | 2.44679i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.66183 | + | 0.565789i | 0.162597 | + | 0.0345611i | ||||
\(269\) | −4.05850 | − | 5.58605i | −0.247451 | − | 0.340587i | 0.667165 | − | 0.744910i | \(-0.267507\pi\) |
−0.914617 | + | 0.404322i | \(0.867507\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.9581 | + | 4.21033i | −0.787146 | + | 0.255759i | −0.674888 | − | 0.737920i | \(-0.735808\pi\) |
−0.112258 | + | 0.993679i | \(0.535808\pi\) | |||||||
\(272\) | 7.35168 | + | 8.16487i | 0.445761 | + | 0.495068i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −26.9352 | + | 15.5510i | −1.62721 | + | 0.939473i | ||||
\(275\) | −11.2406 | + | 3.57041i | −0.677833 | + | 0.215304i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.74062 | − | 10.6476i | −0.284836 | − | 0.639753i | 0.713294 | − | 0.700864i | \(-0.247202\pi\) |
−0.998131 | + | 0.0611112i | \(0.980536\pi\) | |||||||
\(278\) | 17.8918 | + | 5.81339i | 1.07308 | + | 0.348664i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.04241 | − | 4.39007i | 0.361103 | − | 0.262357i | ||||
\(281\) | 2.28295 | + | 21.7209i | 0.136190 | + | 1.29576i | 0.822632 | + | 0.568574i | \(0.192505\pi\) |
−0.686443 | + | 0.727184i | \(0.740829\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.88066 | + | 22.9617i | 0.290125 | + | 1.36493i | 0.845786 | + | 0.533523i | \(0.179132\pi\) |
−0.555661 | + | 0.831409i | \(0.687535\pi\) | |||||||
\(284\) | −4.94243 | − | 0.519470i | −0.293279 | − | 0.0308249i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.04577 | + | 18.3011i | −0.120969 | + | 1.08216i | ||||
\(287\) | 51.4721i | 3.03830i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.70882 | + | 11.4146i | −0.218166 | + | 0.671445i | ||||
\(290\) | 0.768814 | − | 3.61699i | 0.0451463 | − | 0.212397i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.70322 | − | 8.31758i | 0.216715 | − | 0.486749i | ||||
\(293\) | −1.13529 | + | 1.26087i | −0.0663243 | + | 0.0736606i | −0.775394 | − | 0.631478i | \(-0.782449\pi\) |
0.709069 | + | 0.705139i | \(0.249115\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0346897 | + | 0.0154448i | −0.00201971 | + | 0.000899233i | ||||
\(296\) | −1.43277 | −0.0832781 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.0734110 | 0.00425258 | ||||||||
\(299\) | −5.55557 | + | 2.47350i | −0.321287 | + | 0.143046i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.2791 | − | 13.6373i | 0.707755 | − | 0.786042i | ||||
\(302\) | −2.03077 | + | 4.56119i | −0.116858 | + | 0.262467i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.66732 | − | 21.9580i | 0.267689 | − | 1.25938i | ||||
\(305\) | 0.440884 | − | 1.35690i | 0.0252449 | − | 0.0776959i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 2.35281i | − | 0.134282i | −0.997743 | − | 0.0671410i | \(-0.978612\pi\) | ||
0.997743 | − | 0.0671410i | \(-0.0213877\pi\) | |||||||
\(308\) | 20.3266 | − | 4.18047i | 1.15821 | − | 0.238205i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 11.5189 | + | 1.21068i | 0.654228 | + | 0.0687621i | ||||
\(311\) | 2.20518 | + | 10.3746i | 0.125044 | + | 0.588288i | 0.995395 | + | 0.0958557i | \(0.0305587\pi\) |
−0.870351 | + | 0.492432i | \(0.836108\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.64814 | + | 25.1954i | 0.149682 | + | 1.42413i | 0.769132 | + | 0.639090i | \(0.220689\pi\) |
−0.619450 | + | 0.785036i | \(0.712645\pi\) | |||||||
\(314\) | −3.09722 | + | 2.25026i | −0.174786 | + | 0.126990i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.69696 | − | 1.52614i | −0.264225 | − | 0.0858518i | ||||
\(317\) | −10.9056 | − | 24.4944i | −0.612520 | − | 1.37574i | −0.907424 | − | 0.420215i | \(-0.861955\pi\) |
0.294905 | − | 0.955527i | \(-0.404712\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.33610 | + | 4.52856i | −0.186786 | + | 0.253551i | ||||
\(320\) | 1.76132 | − | 1.01690i | 0.0984609 | − | 0.0568464i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.6816 | + | 12.9738i | 0.650992 | + | 0.722999i | ||||
\(323\) | −9.71216 | + | 3.15567i | −0.540399 | + | 0.175586i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.39590 | + | 8.80320i | 0.354781 | + | 0.488314i | ||||
\(326\) | −25.9061 | − | 5.50651i | −1.43481 | − | 0.304978i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.42684 | − | 13.5755i | 0.0787839 | − | 0.749579i | ||||
\(329\) | 7.90372 | + | 13.6896i | 0.435746 | + | 0.754735i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.66186 | − | 15.0028i | 0.476099 | − | 0.824627i | −0.523526 | − | 0.852010i | \(-0.675384\pi\) |
0.999625 | + | 0.0273822i | \(0.00871710\pi\) | |||||||
\(332\) | −7.60079 | − | 5.52230i | −0.417148 | − | 0.303076i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.500309 | + | 1.53979i | 0.0273757 | + | 0.0842538i | ||||
\(335\) | 2.51627 | − | 0.264471i | 0.137479 | − | 0.0144496i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.66376 | + | 8.70129i | 0.526419 | + | 0.473989i | 0.888964 | − | 0.457977i | \(-0.151426\pi\) |
−0.362546 | + | 0.931966i | \(0.618092\pi\) | |||||||
\(338\) | −6.45439 | + | 1.37192i | −0.351073 | + | 0.0746228i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.00691 | − | 1.73604i | −0.163072 | − | 0.0941499i | ||||
\(341\) | −15.1990 | − | 8.90948i | −0.823074 | − | 0.482476i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −26.8543 | + | 36.9618i | −1.45000 | + | 1.99575i | ||||
\(344\) | −3.61657 | + | 3.25637i | −0.194992 | + | 0.175572i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 21.9594 | + | 9.77697i | 1.18055 | + | 0.525613i | ||||
\(347\) | 19.4186 | + | 8.64572i | 1.04244 | + | 0.464126i | 0.855260 | − | 0.518198i | \(-0.173397\pi\) |
0.187185 | + | 0.982325i | \(0.440064\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.93428 | + | 6.24365i | −0.371183 | + | 0.334215i | −0.833520 | − | 0.552490i | \(-0.813678\pi\) |
0.462337 | + | 0.886705i | \(0.347011\pi\) | |||||||
\(350\) | 18.3610 | − | 25.2717i | 0.981436 | − | 1.35083i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −20.9580 | + | 2.06297i | −1.11707 | + | 0.109957i | ||||
\(353\) | −7.89937 | − | 4.56070i | −0.420441 | − | 0.242742i | 0.274825 | − | 0.961494i | \(-0.411380\pi\) |
−0.695266 | + | 0.718753i | \(0.744713\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.51958 | + | 0.960666i | −0.239874 | + | 0.0509869i | ||||
\(356\) | −9.88089 | − | 8.89679i | −0.523686 | − | 0.471529i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −36.3523 | + | 3.82078i | −1.92128 | + | 0.201935i | ||||
\(359\) | 2.41692 | + | 7.43851i | 0.127560 | + | 0.392589i | 0.994359 | − | 0.106069i | \(-0.0338263\pi\) |
−0.866799 | + | 0.498658i | \(0.833826\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.50897 | + | 1.09633i | 0.0794193 | + | 0.0577015i | ||||
\(362\) | 4.07929 | − | 7.06553i | 0.214402 | − | 0.371356i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.57308 | − | 16.5811i | −0.501766 | − | 0.869084i | ||||
\(365\) | 0.884849 | − | 8.41877i | 0.0463151 | − | 0.440659i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.9688 | − | 5.09473i | −1.25116 | − | 0.265943i | −0.465750 | − | 0.884916i | \(-0.654215\pi\) |
−0.785412 | + | 0.618974i | \(0.787549\pi\) | |||||||
\(368\) | −5.74086 | − | 7.90161i | −0.299263 | − | 0.411900i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.31420 | − | 0.751929i | 0.120310 | − | 0.0390909i | ||||
\(371\) | 4.13313 | + | 4.59031i | 0.214582 | + | 0.238317i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.47795 | + | 1.43065i | −0.128303 | + | 0.0740760i | −0.562778 | − | 0.826608i | \(-0.690267\pi\) |
0.434475 | + | 0.900684i | \(0.356934\pi\) | |||||||
\(374\) | 7.83607 | + | 10.9366i | 0.405194 | + | 0.565516i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.70507 | − | 3.82965i | −0.0879324 | − | 0.197499i | ||||
\(377\) | 4.93546 | + | 1.60363i | 0.254189 | + | 0.0825911i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.6747 | − | 17.2007i | 1.21609 | − | 0.883540i | 0.220320 | − | 0.975428i | \(-0.429290\pi\) |
0.995769 | + | 0.0918872i | \(0.0292899\pi\) | |||||||
\(380\) | 0.741543 | + | 7.05531i | 0.0380404 | + | 0.361930i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.70535 | + | 31.5462i | 0.343076 | + | 1.61404i | ||||
\(383\) | −28.3035 | − | 2.97482i | −1.44624 | − | 0.152006i | −0.651359 | − | 0.758769i | \(-0.725801\pi\) |
−0.794883 | + | 0.606763i | \(0.792468\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 16.7727 | − | 9.53660i | 0.854814 | − | 0.486030i | ||||
\(386\) | − | 11.1755i | − | 0.568818i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.79296 | − | 17.8289i | 0.294093 | − | 0.905125i | ||||
\(389\) | 2.96928 | − | 13.9694i | 0.150548 | − | 0.708275i | −0.836515 | − | 0.547944i | \(-0.815411\pi\) |
0.987063 | − | 0.160331i | \(-0.0512560\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.80714 | + | 4.05891i | −0.0913911 | + | 0.205268i | ||||
\(392\) | 14.1208 | − | 15.6827i | 0.713207 | − | 0.792097i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 37.3134 | − | 16.6130i | 1.87982 | − | 0.836951i | ||||
\(395\) | −4.59175 | −0.231036 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.20687 | 0.110760 | 0.0553798 | − | 0.998465i | \(-0.482363\pi\) | ||||
0.0553798 | + | 0.998465i | \(0.482363\pi\) | |||||||
\(398\) | 15.4273 | − | 6.86867i | 0.773300 | − | 0.344295i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.6937 | + | 12.9872i | −0.584687 | + | 0.649361i | ||||
\(401\) | 12.8297 | − | 28.8160i | 0.640684 | − | 1.43900i | −0.242583 | − | 0.970131i | \(-0.577995\pi\) |
0.883267 | − | 0.468870i | \(-0.155339\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.37951 | + | 15.8993i | −0.168345 | + | 0.792003i | ||||
\(404\) | 6.42442 | − | 19.7723i | 0.319627 | − | 0.983710i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 14.8976i | − | 0.739355i | ||||||
\(407\) | −3.67837 | − | 0.411185i | −0.182330 | − | 0.0203817i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.74107 | + | 0.708515i | 0.333324 | + | 0.0350338i | 0.269712 | − | 0.962941i | \(-0.413071\pi\) |
0.0636119 | + | 0.997975i | \(0.479738\pi\) | |||||||
\(410\) | 4.81989 | + | 22.6758i | 0.238037 | + | 1.11988i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.281160 | + | 2.67506i | 0.0138517 | + | 0.131791i | ||||
\(413\) | −0.123766 | + | 0.0899212i | −0.00609012 | + | 0.00442473i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.30760 | − | 2.69930i | −0.407804 | − | 0.132504i | ||||
\(416\) | 7.90276 | + | 17.7499i | 0.387465 | + | 0.870260i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.66715 | − | 26.0874i | 0.423924 | − | 1.27598i | ||||
\(419\) | 24.7759 | − | 14.3044i | 1.21038 | − | 0.698815i | 0.247541 | − | 0.968877i | \(-0.420378\pi\) |
0.962843 | + | 0.270062i | \(0.0870442\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.74264 | − | 4.15662i | −0.182405 | − | 0.202582i | 0.645007 | − | 0.764177i | \(-0.276854\pi\) |
−0.827412 | + | 0.561595i | \(0.810188\pi\) | |||||||
\(422\) | −24.1790 | + | 7.85624i | −1.17702 | + | 0.382436i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.962842 | − | 1.32524i | −0.0467597 | − | 0.0643592i | ||||
\(425\) | 7.77622 | + | 1.65289i | 0.377202 | + | 0.0801767i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.600828 | − | 5.71649i | 0.0290761 | − | 0.276640i | ||||
\(428\) | −0.270522 | − | 0.468558i | −0.0130762 | − | 0.0226486i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.13248 | − | 7.15767i | 0.199286 | − | 0.345173i | ||||
\(431\) | −15.7825 | − | 11.4667i | −0.760216 | − | 0.552329i | 0.138760 | − | 0.990326i | \(-0.455688\pi\) |
−0.898977 | + | 0.437997i | \(0.855688\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.96921 | − | 21.4490i | −0.334919 | − | 1.03077i | −0.966762 | − | 0.255678i | \(-0.917701\pi\) |
0.631843 | − | 0.775096i | \(-0.282299\pi\) | |||||||
\(434\) | 46.4070 | − | 4.87757i | 2.22761 | − | 0.234131i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.0985 | + | 12.6944i | 0.675198 | + | 0.607951i | ||||
\(437\) | 8.87966 | − | 1.88743i | 0.424772 | − | 0.0902880i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 25.9695 | + | 14.9935i | 1.23946 | + | 0.715601i | 0.968983 | − | 0.247126i | \(-0.0794861\pi\) |
0.270474 | + | 0.962727i | \(0.412819\pi\) | |||||||
\(440\) | −4.68804 | + | 2.05027i | −0.223494 | + | 0.0977428i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.29615 | − | 10.0423i | 0.347043 | − | 0.477663i | ||||
\(443\) | 23.4444 | − | 21.1094i | 1.11388 | − | 1.00294i | 0.113922 | − | 0.993490i | \(-0.463659\pi\) |
0.999955 | − | 0.00944948i | \(-0.00300791\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.2933 | − | 5.02810i | −0.535353 | − | 0.238355i | ||||
\(446\) | −26.7422 | − | 11.9064i | −1.26628 | − | 0.563785i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.08913 | − | 5.48268i | 0.287684 | − | 0.259032i | ||||
\(449\) | −22.3362 | + | 30.7432i | −1.05411 | + | 1.45086i | −0.168921 | + | 0.985630i | \(0.554028\pi\) |
−0.885190 | + | 0.465229i | \(0.845972\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.55911 | − | 34.4430i | 0.355944 | − | 1.62186i | ||||
\(452\) | 3.57797 | + | 2.06574i | 0.168294 | + | 0.0971644i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 26.1169 | − | 5.55131i | 1.22572 | − | 0.260536i | ||||
\(455\) | −13.2289 | − | 11.9113i | −0.620179 | − | 0.558412i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 39.0111 | − | 4.10023i | 1.82486 | − | 0.191801i | 0.870846 | − | 0.491555i | \(-0.163571\pi\) |
0.954016 | + | 0.299755i | \(0.0969048\pi\) | |||||||
\(458\) | 12.4473 | + | 38.3088i | 0.581624 | + | 1.79005i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.49706 | + | 1.81422i | 0.116426 | + | 0.0845885i | ||||
\(461\) | 8.77604 | − | 15.2006i | 0.408741 | − | 0.707960i | −0.586008 | − | 0.810305i | \(-0.699301\pi\) |
0.994749 | + | 0.102345i | \(0.0326346\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.53619 | − | 4.39282i | −0.117867 | − | 0.204151i | 0.801055 | − | 0.598590i | \(-0.204272\pi\) |
−0.918922 | + | 0.394439i | \(0.870939\pi\) | |||||||
\(464\) | −0.871196 | + | 8.28888i | −0.0404443 | + | 0.384802i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.17322 | + | 1.94983i | 0.424941 | + | 0.0903240i | ||||
\(467\) | 9.96792 | + | 13.7197i | 0.461260 | + | 0.634870i | 0.974770 | − | 0.223214i | \(-0.0716548\pi\) |
−0.513509 | + | 0.858084i | \(0.671655\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.69445 | − | 3.14992i | 0.447648 | − | 0.145450i | ||||
\(470\) | 4.76385 | + | 5.29079i | 0.219740 | + | 0.244046i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.0351352 | − | 0.0202853i | 0.00161723 | − | 0.000933706i | ||||
\(473\) | −10.2194 | + | 7.32223i | −0.469889 | + | 0.336677i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.60678 | − | 14.8391i | −0.303140 | − | 0.680863i | ||||
\(476\) | −13.3036 | − | 4.32260i | −0.609769 | − | 0.198126i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.0601 | − | 14.5745i | 0.917526 | − | 0.666622i | ||||
\(479\) | −1.88983 | − | 17.9805i | −0.0863485 | − | 0.821551i | −0.948899 | − | 0.315580i | \(-0.897801\pi\) |
0.862550 | − | 0.505971i | \(-0.168866\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.709991 | + | 3.34024i | 0.0323728 | + | 0.152302i | ||||
\(482\) | 12.7267 | + | 1.33763i | 0.579687 | + | 0.0609276i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.2156 | − | 0.187729i | −0.646165 | − | 0.00853315i | ||||
\(485\) | − | 17.4295i | − | 0.791435i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.03498 | + | 24.7291i | −0.364100 | + | 1.12058i | 0.586443 | + | 0.809991i | \(0.300528\pi\) |
−0.950543 | + | 0.310594i | \(0.899472\pi\) | |||||||
\(488\) | −0.316929 | + | 1.49103i | −0.0143467 | + | 0.0674959i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.5774 | + | 32.7413i | −0.658538 | + | 1.47910i | ||||
\(491\) | −4.90602 | + | 5.44869i | −0.221406 | + | 0.245896i | −0.843607 | − | 0.536962i | \(-0.819572\pi\) |
0.622201 | + | 0.782858i | \(0.286239\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.46364 | − | 1.54211i | 0.155995 | − | 0.0694532i | ||||
\(494\) | −25.3622 | −1.14110 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −26.1057 | −1.17218 | ||||||||
\(497\) | −17.0058 | + | 7.57147i | −0.762815 | + | 0.339627i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.30257 | + | 6.99971i | −0.282142 | + | 0.313350i | −0.867512 | − | 0.497416i | \(-0.834282\pi\) |
0.585371 | + | 0.810766i | \(0.300949\pi\) | |||||||
\(500\) | 5.40476 | − | 12.1393i | 0.241708 | − | 0.542885i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.53841 | − | 11.9423i | 0.113295 | − | 0.533010i | ||||
\(503\) | 10.3211 | − | 31.7652i | 0.460196 | − | 1.41634i | −0.404728 | − | 0.914437i | \(-0.632634\pi\) |
0.864925 | − | 0.501902i | \(-0.167366\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 19.3294i | − | 0.860149i | ||||||
\(506\) | −5.91155 | − | 10.3970i | −0.262800 | − | 0.462205i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −28.6663 | − | 3.01295i | −1.27186 | − | 0.133678i | ||||
\(509\) | 4.26297 | + | 20.0557i | 0.188953 | + | 0.888953i | 0.965805 | + | 0.259270i | \(0.0834819\pi\) |
−0.776852 | + | 0.629683i | \(0.783185\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.56486 | − | 33.9174i | −0.157700 | − | 1.50042i | ||||
\(512\) | −15.0364 | + | 10.9246i | −0.664521 | + | 0.482803i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −24.4213 | − | 7.93496i | −1.07718 | − | 0.349996i | ||||
\(515\) | 1.01718 | + | 2.28463i | 0.0448225 | + | 0.100673i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.27840 | − | 10.3213i | −0.144184 | − | 0.453929i | ||||
\(518\) | 8.48982 | − | 4.90160i | 0.373021 | − | 0.215364i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.15884 | + | 3.50825i | 0.138524 | + | 0.153847i | ||||
\(521\) | 12.4115 | − | 4.03273i | 0.543757 | − | 0.176677i | −0.0242430 | − | 0.999706i | \(-0.507718\pi\) |
0.568000 | + | 0.823029i | \(0.307718\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.85832 | − | 6.68690i | −0.212439 | − | 0.292398i | 0.689478 | − | 0.724307i | \(-0.257840\pi\) |
−0.901917 | + | 0.431909i | \(0.857840\pi\) | |||||||
\(524\) | −19.5941 | − | 4.16485i | −0.855972 | − | 0.181942i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.31740 | + | 12.5342i | −0.0574414 | + | 0.546519i | ||||
\(527\) | 5.93780 | + | 10.2846i | 0.258655 | + | 0.448003i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.52516 | + | 16.4981i | −0.414138 | + | 0.717307i | ||||
\(530\) | 2.25067 | + | 1.63521i | 0.0977628 | + | 0.0710289i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.83197 | + | 27.1820i | 0.382915 | + | 1.17849i | ||||
\(533\) | −32.3557 | + | 3.40073i | −1.40148 | + | 0.147302i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.373830 | − | 0.336598i | −0.0161621 | − | 0.0145524i | ||||
\(536\) | −2.64417 | + | 0.562035i | −0.114211 | + | 0.0242762i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.8502 | − | 6.26435i | −0.467784 | − | 0.270075i | ||||
\(539\) | 40.7532 | − | 36.2100i | 1.75537 | − | 1.55968i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.73469 | − | 7.89312i | 0.246554 | − | 0.339352i | −0.667747 | − | 0.744388i | \(-0.732741\pi\) |
0.914301 | + | 0.405036i | \(0.132741\pi\) | |||||||
\(542\) | −18.3724 | + | 16.5426i | −0.789163 | + | 0.710565i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.9681 | + | 5.77378i | 0.556003 | + | 0.247549i | ||||
\(545\) | 16.1138 | + | 7.17434i | 0.690240 | + | 0.307315i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.78545 | + | 5.20924i | −0.247368 | + | 0.222731i | −0.783482 | − | 0.621414i | \(-0.786558\pi\) |
0.536114 | + | 0.844146i | \(0.319892\pi\) | |||||||
\(548\) | −13.0215 | + | 17.9225i | −0.556250 | + | 0.765613i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −15.9978 | + | 14.2143i | −0.682147 | + | 0.606100i | ||||
\(551\) | −6.70882 | − | 3.87334i | −0.285805 | − | 0.165010i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −18.0949 | + | 3.84619i | −0.769474 | + | 0.163557i | ||||
\(554\) | −15.7165 | − | 14.1512i | −0.667729 | − | 0.601225i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.3264 | − | 1.40066i | 0.565167 | − | 0.0594014i | ||||
\(557\) | −1.09093 | − | 3.35755i | −0.0462244 | − | 0.142264i | 0.925281 | − | 0.379283i | \(-0.123829\pi\) |
−0.971505 | + | 0.237019i | \(0.923829\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.38378 | + | 6.81772i | 0.396892 | + | 0.288359i | ||||
\(560\) | 14.2948 | − | 24.7594i | 0.604067 | − | 1.04627i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 19.8149 | + | 34.3204i | 0.835841 | + | 1.44772i | ||||
\(563\) | 0.157070 | − | 1.49442i | 0.00661970 | − | 0.0629822i | −0.990713 | − | 0.135967i | \(-0.956586\pi\) |
0.997333 | + | 0.0729849i | \(0.0232525\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.75732 | + | 0.798643i | 0.158072 | + | 0.0335992i | ||||
\(566\) | 25.0367 | + | 34.4601i | 1.05237 | + | 1.44847i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.69506 | − | 1.52552i | 0.197000 | − | 0.0640093i | ||||
\(569\) | 9.92854 | + | 11.0268i | 0.416226 | + | 0.462266i | 0.914400 | − | 0.404811i | \(-0.132663\pi\) |
−0.498174 | + | 0.867077i | \(0.665996\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.8594 | − | 14.9299i | 1.08218 | − | 0.624798i | 0.150697 | − | 0.988580i | \(-0.451848\pi\) |
0.931484 | + | 0.363782i | \(0.118515\pi\) | |||||||
\(572\) | 3.97084 | + | 12.5012i | 0.166029 | + | 0.522703i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 37.9878 | + | 85.3221i | 1.58558 | + | 3.56128i | ||||
\(575\) | −6.72128 | − | 2.18388i | −0.280297 | − | 0.0910740i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.6394 | + | 14.9954i | −0.859228 | + | 0.624266i | −0.927675 | − | 0.373389i | \(-0.878196\pi\) |
0.0684465 | + | 0.997655i | \(0.478196\pi\) | |||||||
\(578\) | 2.27639 | + | 21.6584i | 0.0946854 | + | 0.900871i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.547613 | − | 2.57632i | −0.0227384 | − | 0.106976i | ||||
\(581\) | −34.9991 | − | 3.67855i | −1.45201 | − | 0.152612i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.09159 | − | 3.67863i | −0.0866250 | − | 0.152353i | ||||
\(584\) | 9.04432i | 0.374256i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.951344 | + | 2.92793i | −0.0392996 | + | 0.120952i | ||||
\(587\) | −4.91248 | + | 23.1114i | −0.202760 | + | 0.953910i | 0.752603 | + | 0.658475i | \(0.228798\pi\) |
−0.955363 | + | 0.295436i | \(0.904535\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.86919 | − | 22.1666i | 0.406653 | − | 0.913358i | ||||
\(590\) | −0.0461042 | + | 0.0512039i | −0.00189808 | + | 0.00210803i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.01030 | + | 2.23073i | −0.205922 | + | 0.0916824i | ||||
\(593\) | 10.1681 | 0.417553 | 0.208777 | − | 0.977963i | \(-0.433052\pi\) | ||||
0.208777 | + | 0.977963i | \(0.433052\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.0056 | −0.533178 | ||||||||
\(596\) | 0.0477687 | − | 0.0212680i | 0.00195668 | − | 0.000871171i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.38360 | + | 8.20032i | −0.301938 | + | 0.335336i | ||||
\(599\) | −2.47923 | + | 5.56843i | −0.101298 | + | 0.227520i | −0.957084 | − | 0.289811i | \(-0.906408\pi\) |
0.855786 | + | 0.517331i | \(0.173074\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.91575 | + | 13.7175i | −0.118936 | + | 0.559550i | 0.877815 | + | 0.479001i | \(0.159001\pi\) |
−0.996751 | + | 0.0805495i | \(0.974333\pi\) | |||||||
\(602\) | 10.2896 | − | 31.6680i | 0.419371 | − | 1.29069i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.55632i | 0.144705i | ||||||||
\(605\) | −12.6241 | + | 3.91829i | −0.513242 | + | 0.159301i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.841863 | + | 0.0884833i | 0.0341701 | + | 0.00359143i | 0.121598 | − | 0.992579i | \(-0.461198\pi\) |
−0.0874280 | + | 0.996171i | \(0.527865\pi\) | |||||||
\(608\) | −6.03029 | − | 28.3703i | −0.244561 | − | 1.15057i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.270605 | − | 2.57463i | −0.0109565 | − | 0.104244i | ||||
\(611\) | −8.08321 | + | 5.87280i | −0.327012 | + | 0.237588i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.1513 | − | 7.84724i | −0.975462 | − | 0.316947i | −0.222443 | − | 0.974946i | \(-0.571403\pi\) |
−0.753019 | + | 0.657999i | \(0.771403\pi\) | |||||||
\(614\) | −1.73644 | − | 3.90011i | −0.0700770 | − | 0.157395i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.7570 | + | 12.0064i | −0.675158 | + | 0.483753i | ||||
\(617\) | −8.73291 | + | 5.04195i | −0.351574 | + | 0.202981i | −0.665378 | − | 0.746507i | \(-0.731730\pi\) |
0.313805 | + | 0.949488i | \(0.398396\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.4316 | − | 19.3597i | −0.700635 | − | 0.778134i | 0.282842 | − | 0.959166i | \(-0.408723\pi\) |
−0.983477 | + | 0.181033i | \(0.942056\pi\) | |||||||
\(620\) | 7.84611 | − | 2.54935i | 0.315107 | − | 0.102385i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.3121 | + | 15.5698i | 0.453574 | + | 0.624291i | ||||
\(623\) | −48.7156 | − | 10.3548i | −1.95175 | − | 0.414857i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.567118 | + | 5.39577i | −0.0226847 | + | 0.215831i | ||||
\(626\) | 22.9845 | + | 39.8103i | 0.918646 | + | 1.59114i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.36344 | + | 2.36155i | −0.0544073 | + | 0.0942362i | ||||
\(629\) | 2.01842 | + | 1.46647i | 0.0804798 | + | 0.0584720i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.44605 | + | 10.6058i | 0.137185 | + | 0.422212i | 0.995923 | − | 0.0902022i | \(-0.0287513\pi\) |
−0.858739 | + | 0.512414i | \(0.828751\pi\) | |||||||
\(632\) | 4.87904 | − | 0.512807i | 0.194078 | − | 0.0203984i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −36.1551 | − | 32.5542i | −1.43590 | − | 1.29289i | ||||
\(635\) | −26.2137 | + | 5.57190i | −1.04026 | + | 0.221114i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −43.5588 | − | 25.1487i | −1.72586 | − | 0.996426i | ||||
\(638\) | −2.18783 | + | 9.96884i | −0.0866172 | + | 0.394670i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.80053 | + | 9.36013i | −0.268815 | + | 0.369991i | ||||
\(641\) | 8.20366 | − | 7.38661i | 0.324025 | − | 0.291754i | −0.491023 | − | 0.871146i | \(-0.663377\pi\) |
0.815048 | + | 0.579393i | \(0.196710\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 33.5638 | + | 14.9436i | 1.32363 | + | 0.589317i | 0.942190 | − | 0.335078i | \(-0.108763\pi\) |
0.381437 | + | 0.924395i | \(0.375429\pi\) | |||||||
\(644\) | 11.3599 | + | 5.05776i | 0.447643 | + | 0.199304i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.7703 | + | 12.3988i | −0.541784 | + | 0.487824i | ||||
\(647\) | −1.59821 | + | 2.19975i | −0.0628321 | + | 0.0864810i | −0.839277 | − | 0.543705i | \(-0.817021\pi\) |
0.776445 | + | 0.630186i | \(0.217021\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0960246 | − | 0.0419955i | 0.00376930 | − | 0.00164847i | ||||
\(650\) | 17.0991 | + | 9.87215i | 0.670681 | + | 0.387218i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18.4525 | + | 3.92219i | −0.722655 | + | 0.153605i | ||||
\(653\) | 32.8807 | + | 29.6059i | 1.28672 | + | 1.15857i | 0.978272 | + | 0.207327i | \(0.0664764\pi\) |
0.308448 | + | 0.951241i | \(0.400190\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.5226 | + | 1.94681i | −0.723739 | + | 0.0760681i | ||||
\(656\) | −16.1465 | − | 49.6939i | −0.630416 | − | 1.94022i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 23.2048 | + | 16.8593i | 0.904618 | + | 0.657244i | ||||
\(659\) | −4.58714 | + | 7.94516i | −0.178690 | + | 0.309499i | −0.941432 | − | 0.337203i | \(-0.890519\pi\) |
0.762742 | + | 0.646702i | \(0.223852\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.94816 | + | 8.57046i | 0.192461 | + | 0.333352i | 0.946065 | − | 0.323976i | \(-0.105020\pi\) |
−0.753604 | + | 0.657328i | \(0.771686\pi\) | |||||||
\(662\) | 3.28575 | − | 31.2618i | 0.127704 | − | 1.21503i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.12882 | + | 1.94039i | 0.354267 | + | 0.0753018i | ||||
\(665\) | 15.6193 | + | 21.4981i | 0.605691 | + | 0.833662i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.20547 | + | 1.04152i | −0.124116 | + | 0.0403278i | ||||
\(668\) | 0.771649 | + | 0.857003i | 0.0298560 | + | 0.0331584i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.97588 | − | 2.29547i | 0.153602 | − | 0.0886819i | ||||
\(671\) | −1.24156 | + | 3.73700i | −0.0479300 | + | 0.144265i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.19227 | − | 16.1541i | −0.277242 | − | 0.622695i | 0.720232 | − | 0.693733i | \(-0.244035\pi\) |
−0.997474 | + | 0.0710383i | \(0.977369\pi\) | |||||||
\(674\) | 22.4408 | + | 7.29146i | 0.864387 | + | 0.280856i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.80243 | + | 2.76263i | −0.146247 | + | 0.106255i | ||||
\(677\) | 1.24345 | + | 11.8306i | 0.0477895 | + | 0.454687i | 0.992083 | + | 0.125583i | \(0.0400800\pi\) |
−0.944294 | + | 0.329104i | \(0.893253\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.5995 | − | 68.6853i | −0.560278 | − | 2.63590i | ||||
\(680\) | 3.43015 | + | 0.360523i | 0.131540 | + | 0.0138254i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −31.7699 | − | 3.55138i | −1.21653 | − | 0.135989i | ||||
\(683\) | 18.2564i | 0.698561i | 0.937018 | + | 0.349280i | \(0.113574\pi\) | ||||
−0.937018 | + | 0.349280i | \(0.886426\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.36490 | + | 19.5892i | −0.243190 | + | 0.748463i | ||||
\(686\) | −17.2359 | + | 81.0883i | −0.658068 | + | 3.09597i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.57693 | + | 17.0181i | −0.288868 | + | 0.648808i | ||||
\(689\) | −2.61243 | + | 2.90139i | −0.0995255 | + | 0.110534i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.4659 | − | 7.33107i | 0.626391 | − | 0.278887i | −0.0688913 | − | 0.997624i | \(-0.521946\pi\) |
0.695282 | + | 0.718737i | \(0.255279\pi\) | |||||||
\(692\) | 17.1216 | 0.650864 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 38.5698 | 1.46409 | ||||||||
\(695\) | 11.3814 | − | 5.06735i | 0.431723 | − | 0.192215i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.9048 | + | 17.6641i | −0.602438 | + | 0.669075i | ||||
\(698\) | −6.88652 | + | 15.4674i | −0.260659 | + | 0.585449i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.62603 | − | 21.7638i | 0.174847 | − | 0.822593i | ||||
\(701\) | 2.60431 | − | 8.01524i | 0.0983635 | − | 0.302732i | −0.889752 | − | 0.456444i | \(-0.849123\pi\) |
0.988116 | + | 0.153712i | \(0.0491229\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 5.09762i | − | 0.192260i | ||||||
\(704\) | −4.87977 | + | 2.77454i | −0.183913 | + | 0.104569i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.4602 | − | 1.73004i | −0.619488 | − | 0.0651108i | ||||
\(707\) | −16.1909 | − | 76.1723i | −0.608923 | − | 2.86476i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.16511 | − | 20.5997i | −0.0813126 | − | 0.773637i | −0.956869 | − | 0.290521i | \(-0.906171\pi\) |
0.875556 | − | 0.483116i | \(-0.160495\pi\) | |||||||
\(710\) | −6.78282 | + | 4.92801i | −0.254555 | + | 0.184945i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.5614 | + | 4.08144i | 0.470758 | + | 0.152959i | ||||
\(713\) | −4.29389 | − | 9.64424i | −0.160808 | − | 0.361180i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.10293 | + | 9.91333i | 0.265634 | + | 0.370738i | ||||
\(716\) | −22.5476 | + | 13.0179i | −0.842644 | + | 0.486501i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.49619 | + | 10.5466i | 0.354395 | + | 0.393595i | ||||
\(719\) | 34.3009 | − | 11.1450i | 1.27921 | − | 0.415640i | 0.410906 | − | 0.911678i | \(-0.365212\pi\) |
0.868301 | + | 0.496038i | \(0.165212\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.92214 | + | 8.15112i | 0.220552 | + | 0.303564i | ||||
\(722\) | 3.31044 | + | 0.703656i | 0.123202 | + | 0.0261874i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.607437 | − | 5.77937i | 0.0225752 | − | 0.214789i | ||||
\(725\) | 3.01536 | + | 5.22276i | 0.111988 | + | 0.193968i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4928 | − | 18.1741i | 0.389158 | − | 0.674042i | −0.603178 | − | 0.797606i | \(-0.706099\pi\) |
0.992337 | + | 0.123565i | \(0.0394327\pi\) | |||||||
\(728\) | 15.3868 | + | 11.1792i | 0.570273 | + | 0.414327i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.74653 | − | 14.6083i | −0.175677 | − | 0.540678i | ||||
\(731\) | 8.42783 | − | 0.885800i | 0.311714 | − | 0.0327625i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.1889 | − | 27.1822i | −1.11505 | − | 1.00400i | −0.999943 | − | 0.0106457i | \(-0.996611\pi\) |
−0.115110 | − | 0.993353i | \(-0.536722\pi\) | |||||||
\(734\) | −43.4916 | + | 9.24443i | −1.60531 | + | 0.341218i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.9285 | − | 6.30956i | −0.402829 | − | 0.232573i | ||||
\(737\) | −6.94971 | + | 0.684083i | −0.255996 | + | 0.0251985i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.159730 | + | 0.219850i | −0.00587578 | + | 0.00808731i | −0.811945 | − | 0.583734i | \(-0.801591\pi\) |
0.806069 | + | 0.591822i | \(0.201591\pi\) | |||||||
\(740\) | 1.28801 | − | 1.15973i | 0.0473483 | − | 0.0426326i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.2390 | + | 4.55870i | 0.375886 | + | 0.167355i | ||||
\(743\) | 18.7849 | + | 8.36360i | 0.689153 | + | 0.306831i | 0.721271 | − | 0.692653i | \(-0.243558\pi\) |
−0.0321177 | + | 0.999484i | \(0.510225\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0361289 | − | 0.0325306i | 0.00132366 | − | 0.00119183i | ||||
\(746\) | −3.05169 | + | 4.20029i | −0.111730 | + | 0.153783i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 8.26740 | + | 4.84624i | 0.302286 | + | 0.177196i | ||||
\(749\) | −1.75511 | − | 1.01331i | −0.0641304 | − | 0.0370257i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 50.9801 | − | 10.8362i | 1.86029 | − | 0.395417i | 0.865814 | − | 0.500366i | \(-0.166801\pi\) |
0.994478 | + | 0.104949i | \(0.0334678\pi\) | |||||||
\(752\) | −11.9250 | − | 10.7374i | −0.434861 | − | 0.391551i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.36473 | − | 0.984272i | 0.341043 | − | 0.0358451i | ||||
\(755\) | 1.02176 | + | 3.14467i | 0.0371858 | + | 0.114446i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.2153 | + | 21.9527i | 1.09819 | + | 0.797884i | 0.980764 | − | 0.195197i | \(-0.0625347\pi\) |
0.117429 | + | 0.993081i | \(0.462535\pi\) | |||||||
\(758\) | 26.5495 | − | 45.9851i | 0.964322 | − | 1.67025i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.52355 | − | 6.10297i | −0.127813 | − | 0.221378i | ||||
\(761\) | 4.66624 | − | 44.3963i | 0.169151 | − | 1.60936i | −0.499856 | − | 0.866109i | \(-0.666614\pi\) |
0.669007 | − | 0.743256i | \(-0.266720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 69.5098 | + | 14.7748i | 2.51642 | + | 0.534883i | ||||
\(764\) | 13.5025 | + | 18.5846i | 0.488503 | + | 0.672367i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −49.1124 | + | 15.9576i | −1.77450 | + | 0.576571i | ||||
\(767\) | −0.0647022 | − | 0.0718591i | −0.00233626 | − | 0.00259468i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.3337 | − | 11.1623i | 0.697192 | − | 0.402524i | −0.109109 | − | 0.994030i | \(-0.534800\pi\) |
0.806301 | + | 0.591506i | \(0.201466\pi\) | |||||||
\(770\) | 20.7647 | − | 28.1869i | 0.748308 | − | 1.01579i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.23767 | − | 7.27192i | −0.116526 | − | 0.261722i | ||||
\(773\) | −19.1268 | − | 6.21468i | −0.687944 | − | 0.223526i | −0.0558738 | − | 0.998438i | \(-0.517794\pi\) |
−0.632070 | + | 0.774911i | \(0.717794\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.2820 | + | 11.1030i | −0.548946 | + | 0.398832i | ||||
\(776\) | 1.94653 | + | 18.5200i | 0.0698765 | + | 0.664830i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.38778 | − | 25.3475i | −0.193161 | − | 0.908753i | ||||
\(779\) | 48.2998 | + | 5.07651i | 1.73052 | + | 0.181885i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.4915 | − | 2.56907i | 0.446981 | − | 0.0919285i | ||||
\(782\) | 8.06192i | 0.288294i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 24.9624 | − | 76.8265i | 0.891516 | − | 2.74380i | ||||
\(785\) | −0.527125 | + | 2.47993i | −0.0188139 | + | 0.0885124i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.1620 | + | 31.8083i | −0.504820 | + | 1.13384i | 0.463946 | + | 0.885864i | \(0.346433\pi\) |
−0.968765 | + | 0.247980i | \(0.920233\pi\) | |||||||
\(788\) | 19.4670 | − | 21.6203i | 0.693482 | − | 0.770190i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.61146 | + | 3.38884i | −0.270803 | + | 0.120569i | ||||
\(791\) | 15.4756 | 0.550249 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.63312 | 0.129016 | ||||||||
\(794\) | 3.65819 | − | 1.62873i | 0.129824 | − | 0.0578014i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.04865 | − | 8.93893i | 0.285277 | − | 0.316832i | ||||
\(797\) | −0.319992 | + | 0.718713i | −0.0113347 | + | 0.0254581i | −0.919124 | − | 0.393968i | \(-0.871102\pi\) |
0.907789 | + | 0.419426i | \(0.137769\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.51770 | + | 7.14022i | −0.0536924 | + | 0.252603i | ||||
\(800\) | −6.97744 | + | 21.4743i | −0.246690 | + | 0.759233i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 57.2351i | − | 2.02104i | ||||||
\(803\) | −2.59559 | + | 23.2196i | −0.0915964 | + | 0.819402i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.4981 | + | 1.20850i | 0.405255 | + | 0.0425941i | ||||
\(806\) | 6.13215 | + | 28.8495i | 0.215996 | + | 1.01618i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.15871 | + | 20.5388i | 0.0759433 | + | 0.722552i | ||||
\(809\) | −24.9035 | + | 18.0934i | −0.875560 | + | 0.636131i | −0.932073 | − | 0.362270i | \(-0.882002\pi\) |
0.0565132 | + | 0.998402i | \(0.482002\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 41.4535 | + | 13.4691i | 1.45563 | + | 0.472963i | 0.926732 | − | 0.375723i | \(-0.122606\pi\) |
0.528898 | + | 0.848686i | \(0.322606\pi\) | |||||||
\(812\) | −4.31600 | − | 9.69390i | −0.151462 | − | 0.340189i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.40087 | + | 2.03315i | −0.224351 | + | 0.0712617i | ||||
\(815\) | −15.1897 | + | 8.76976i | −0.532071 | + | 0.307191i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.5858 | − | 12.8673i | −0.405335 | − | 0.450170i | ||||
\(818\) | 11.6971 | − | 3.80063i | 0.408981 | − | 0.132886i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.70574 | + | 13.3588i | 0.338939 | + | 0.466510i | ||||
\(821\) | 38.1089 | + | 8.10030i | 1.33001 | + | 0.282702i | 0.817475 | − | 0.575964i | \(-0.195373\pi\) |
0.512535 | + | 0.858666i | \(0.328706\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.92819 | + | 37.3742i | −0.136928 | + | 1.30278i | 0.683042 | + | 0.730379i | \(0.260656\pi\) |
−0.819971 | + | 0.572406i | \(0.806010\pi\) | |||||||
\(824\) | −1.33597 | − | 2.31397i | −0.0465408 | − | 0.0806111i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.138795 | + | 0.240399i | −0.00482928 | + | 0.00836456i | ||||
\(827\) | −36.8905 | − | 26.8025i | −1.28281 | − | 0.932015i | −0.283175 | − | 0.959068i | \(-0.591388\pi\) |
−0.999634 | + | 0.0270532i | \(0.991388\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.83146 | + | 27.1804i | 0.306729 | + | 0.944016i | 0.979026 | + | 0.203734i | \(0.0653078\pi\) |
−0.672297 | + | 0.740282i | \(0.734692\pi\) | |||||||
\(830\) | −15.7631 | + | 1.65677i | −0.547146 | + | 0.0575074i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.84875 | + | 3.46543i | 0.133431 | + | 0.120142i | ||||
\(833\) | −35.9443 | + | 7.64020i | −1.24540 | + | 0.264717i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.928554 | + | 0.536101i | 0.0321339 | + | 0.0185525i | ||||
\(836\) | −1.91808 | − | 19.4861i | −0.0663382 | − | 0.673941i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 30.5125 | − | 41.9968i | 1.05404 | − | 1.45076i | ||||
\(839\) | −4.22962 | + | 3.80837i | −0.146023 | + | 0.131480i | −0.738905 | − | 0.673810i | \(-0.764657\pi\) |
0.592882 | + | 0.805289i | \(0.297990\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.8653 | − | 10.6255i | −0.822943 | − | 0.366398i | ||||
\(842\) | −9.27164 | − | 4.12800i | −0.319522 | − | 0.142260i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −13.4573 | + | 12.1170i | −0.463220 | + | 0.417085i | ||||
\(845\) | −2.56856 | + | 3.53532i | −0.0883612 | + | 0.121619i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −46.4662 | + | 26.0153i | −1.59660 | + | 0.893895i | ||||
\(848\) | −5.43030 | − | 3.13518i | −0.186477 | − | 0.107663i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 14.1100 | − | 2.99918i | 0.483969 | − | 0.102871i | ||||
\(851\) | −1.64820 | − | 1.48405i | −0.0564996 | − | 0.0508725i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −24.9261 | + | 2.61983i | −0.853452 | + | 0.0897014i | −0.521143 | − | 0.853469i | \(-0.674494\pi\) |
−0.332309 | + | 0.943171i | \(0.607828\pi\) | |||||||
\(854\) | −3.22297 | − | 9.91929i | −0.110288 | − | 0.339431i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.434810 | + | 0.315908i | 0.0148615 | + | 0.0107975i | ||||
\(857\) | 17.9582 | − | 31.1045i | 0.613440 | − | 1.06251i | −0.377216 | − | 0.926126i | \(-0.623118\pi\) |
0.990656 | − | 0.136385i | \(-0.0435483\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.86620 | + | 13.6247i | 0.268391 | + | 0.464868i | 0.968447 | − | 0.249221i | \(-0.0801746\pi\) |
−0.700055 | + | 0.714089i | \(0.746841\pi\) | |||||||
\(860\) | 0.615358 | − | 5.85474i | 0.0209835 | − | 0.199645i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −34.6244 | − | 7.35963i | −1.17931 | − | 0.250670i | ||||
\(863\) | −16.0883 | − | 22.1436i | −0.547652 | − | 0.753778i | 0.442039 | − | 0.896996i | \(-0.354255\pi\) |
−0.989691 | + | 0.143217i | \(0.954255\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.1397 | − | 4.91919i | 0.514765 | − | 0.167257i | ||||
\(866\) | −27.3824 | − | 30.4112i | −0.930491 | − | 1.03342i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 28.7841 | − | 16.6185i | 0.976995 | − | 0.564068i | ||||
\(869\) | 12.6732 | + | 0.0836764i | 0.429909 | + | 0.00283853i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.62057 | + | 5.88589i | 0.0887945 | + | 0.199436i | ||||
\(872\) | −17.9232 | − | 5.82361i | −0.606957 | − | 0.197212i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.3263 | − | 9.68210i | 0.450768 | − | 0.327502i | ||||
\(875\) | −5.20282 | − | 49.5015i | −0.175887 | − | 1.67346i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.8203 | − | 50.9056i | −0.365376 | − | 1.71896i | −0.649665 | − | 0.760221i | \(-0.725091\pi\) |
0.284289 | − | 0.958739i | \(-0.408242\pi\) | |||||||
\(878\) | 54.1137 | + | 5.68757i | 1.82625 | + | 0.191946i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −13.2016 | + | 14.4686i | −0.445027 | + | 0.487737i | ||||
\(881\) | − | 39.9758i | − | 1.34682i | −0.739270 | − | 0.673409i | \(-0.764829\pi\) | ||
0.739270 | − | 0.673409i | \(-0.235171\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.74452 | + | 17.6798i | −0.193318 | + | 0.594973i | 0.806674 | + | 0.590997i | \(0.201266\pi\) |
−0.999992 | + | 0.00397571i | \(0.998734\pi\) | |||||||
\(884\) | 1.83826 | − | 8.64832i | 0.0618273 | − | 0.290875i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 23.2830 | − | 52.2944i | 0.782206 | − | 1.75686i | ||||
\(887\) | −36.4857 | + | 40.5215i | −1.22507 | + | 1.36058i | −0.313419 | + | 0.949615i | \(0.601474\pi\) |
−0.911652 | + | 0.410964i | \(0.865192\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −98.6344 | + | 43.9149i | −3.30809 | + | 1.47286i | ||||
\(890\) | −22.4310 | −0.751890 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.8507 | −0.698132 | ||||||||
\(893\) | 13.6254 | − | 6.06643i | 0.455958 | − | 0.203005i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −16.1975 | + | 17.9892i | −0.541424 | + | 0.601312i | ||||
\(896\) | −18.9588 | + | 42.5822i | −0.633369 | + | 1.42257i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −14.3360 | + | 67.4457i | −0.478399 | + | 2.25069i | ||||
\(899\) | −2.78384 | + | 8.56777i | −0.0928461 | + | 0.285751i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.85243i | 0.0950281i | ||||||||
\(902\) | −12.8896 | − | 62.6728i | −0.429177 | − | 2.08678i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.08159 | − | 0.428993i | −0.135752 | − | 0.0142681i | ||||
\(905\) | −1.12334 | − | 5.28492i | −0.0373412 | − | 0.175677i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.29961 | + | 12.3650i | 0.0431530 | + | 0.410573i | 0.994680 | + | 0.103009i | \(0.0328471\pi\) |
−0.951527 | + | 0.307564i | \(0.900486\pi\) | |||||||
\(908\) | 15.3860 | − | 11.1786i | 0.510603 | − | 0.370975i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −30.7195 | − | 9.98139i | −1.01834 | − | 0.330880i | ||||
\(911\) | 18.2983 | + | 41.0986i | 0.606249 | + | 1.36166i | 0.912253 | + | 0.409628i | \(0.134341\pi\) |
−0.306004 | + | 0.952030i | \(0.598992\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 22.8797 | + | 7.60144i | 0.757208 | + | 0.251571i | ||||
\(914\) | 61.6402 | − | 35.5880i | 2.03887 | − | 1.17715i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 19.1980 | + | 21.3215i | 0.634319 | + | 0.704483i | ||||
\(917\) | −71.3622 | + | 23.1870i | −2.35659 | + | 0.765702i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.6185 | + | 18.7442i | 0.449232 | + | 0.618315i | 0.972232 | − | 0.234017i | \(-0.0751872\pi\) |
−0.523000 | + | 0.852333i | \(0.675187\pi\) | |||||||
\(920\) | −2.99906 | − | 0.637469i | −0.0988760 | − | 0.0210167i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.32907 | − | 31.6740i | 0.109637 | − | 1.04313i | ||||
\(923\) | −5.88304 | − | 10.1897i | −0.193643 | − | 0.335399i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.98423 | + | 3.43678i | −0.0652410 | + | 0.113001i | ||||
\(926\) | −7.44610 | − | 5.40991i | −0.244694 | − | 0.177781i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.32763 | + | 10.2414i | 0.109235 | + | 0.336190i | ||||
\(929\) | 11.5041 | − | 1.20913i | 0.377438 | − | 0.0396703i | 0.0860898 | − | 0.996287i | \(-0.472563\pi\) |
0.291348 | + | 0.956617i | \(0.405896\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 55.7971 | + | 50.2400i | 1.82868 | + | 1.64655i | ||||
\(932\) | 6.53392 | − | 1.38883i | 0.214026 | − | 0.0454926i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.6487 | + | 15.3856i | 0.871971 | + | 0.503433i | ||||
\(935\) | 8.70280 | + | 1.90998i | 0.284612 | + | 0.0624630i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.1544 | − | 20.8582i | 0.495071 | − | 0.681407i | −0.486242 | − | 0.873824i | \(-0.661633\pi\) |
0.981313 | + | 0.192417i | \(0.0616326\pi\) | |||||||
\(938\) | 13.7451 | − | 12.3762i | 0.448795 | − | 0.404097i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.63265 | + | 2.06259i | 0.151100 | + | 0.0672743i | ||||
\(941\) | −54.0436 | − | 24.0617i | −1.76177 | − | 0.784391i | −0.988670 | − | 0.150107i | \(-0.952038\pi\) |
−0.773100 | − | 0.634284i | \(-0.781295\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.7027 | − | 14.1387i | 0.511349 | − | 0.460421i | ||||
\(944\) | 0.0912824 | − | 0.125639i | 0.00297099 | − | 0.00408921i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.5361 | + | 19.6798i | −0.375069 | + | 0.639845i | ||||
\(947\) | −0.104615 | − | 0.0603997i | −0.00339954 | − | 0.00196272i | 0.498299 | − | 0.867005i | \(-0.333958\pi\) |
−0.501699 | + | 0.865042i | \(0.667291\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.0852 | − | 4.48179i | 0.684454 | − | 0.145485i | ||||
\(950\) | −21.9033 | − | 19.7218i | −0.710636 | − | 0.639860i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 13.8193 | − | 1.45247i | 0.447886 | − | 0.0470747i | ||||
\(953\) | 2.50261 | + | 7.70223i | 0.0810674 | + | 0.249500i | 0.983373 | − | 0.181597i | \(-0.0581267\pi\) |
−0.902306 | + | 0.431097i | \(0.858127\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17.2791 | + | 12.5540i | 0.559138 | + | 0.406237i | ||||
\(956\) | 8.83074 | − | 15.2953i | 0.285607 | − | 0.494685i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.4028 | − | 28.4104i | −0.529949 | − | 0.917899i | ||||
\(959\) | −8.67396 | + | 82.5272i | −0.280097 | + | 2.66494i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.72196 | + | 0.578570i | 0.0878050 | + | 0.0186635i | ||||
\(962\) | 3.64210 | + | 5.01292i | 0.117426 | + | 0.161623i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 8.66885 | − | 2.81668i | 0.279205 | − | 0.0907192i | ||||
\(965\) | −4.95219 | − | 5.49997i | −0.159417 | − | 0.177050i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.61320 | + | 4.97284i | −0.276982 | + | 0.159916i | −0.632056 | − | 0.774922i | \(-0.717789\pi\) |
0.355074 | + | 0.934838i | \(0.384456\pi\) | |||||||
\(968\) | 12.9763 | − | 5.57330i | 0.417075 | − | 0.179133i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −12.8635 | − | 28.8918i | −0.413021 | − | 0.927661i | ||||
\(971\) | 36.6171 | + | 11.8976i | 1.17510 | + | 0.381813i | 0.830544 | − | 0.556953i | \(-0.188030\pi\) |
0.344555 | + | 0.938766i | \(0.388030\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 40.6068 | − | 29.5025i | 1.30179 | − | 0.945808i | ||||
\(974\) | 4.93170 | + | 46.9220i | 0.158022 | + | 1.50348i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.21316 | + | 5.70748i | 0.0388324 | + | 0.182692i | ||||
\(977\) | 20.2002 | + | 2.12313i | 0.646263 | + | 0.0679250i | 0.421989 | − | 0.906601i | \(-0.361332\pi\) |
0.224274 | + | 0.974526i | \(0.427999\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.0777 | + | 14.0833i | 0.993249 | + | 0.450104i | ||||
\(980\) | 25.5281i | 0.815464i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.11112 | + | 12.6527i | −0.131191 | + | 0.403765i | ||||
\(983\) | −2.02155 | + | 9.51064i | −0.0644774 | + | 0.303342i | −0.998556 | − | 0.0537258i | \(-0.982890\pi\) |
0.934078 | + | 0.357068i | \(0.116224\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.0019 | − | 24.7107i | 0.350550 | − | 0.787349i | ||||
\(986\) | 4.60334 | − | 5.11252i | 0.146600 | − | 0.162816i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −16.5033 | + | 7.34773i | −0.525039 | + | 0.233763i | ||||
\(989\) | −7.53327 | −0.239544 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9196 | −0.728065 | −0.364032 | − | 0.931386i | \(-0.618600\pi\) | ||||
−0.364032 | + | 0.931386i | \(0.618600\pi\) | |||||||
\(992\) | −30.8131 | + | 13.7189i | −0.978317 | + | 0.435575i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −22.6015 | + | 25.1015i | −0.716876 | + | 0.796171i | ||||
\(995\) | 4.54876 | − | 10.2167i | 0.144205 | − | 0.323891i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.47047 | − | 21.0319i | 0.141581 | − | 0.666087i | −0.848913 | − | 0.528532i | \(-0.822743\pi\) |
0.990494 | − | 0.137554i | \(-0.0439242\pi\) | |||||||
\(998\) | −5.28139 | + | 16.2544i | −0.167179 | + | 0.514525i | ||||
\(999\) | 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 | 297.2.t.a.62.8 | 80 | ||
3.2 | odd | 2 | 99.2.p.a.29.3 | ✓ | 80 | ||
9.2 | odd | 6 | 891.2.k.a.161.16 | 80 | |||
9.4 | even | 3 | 99.2.p.a.95.3 | yes | 80 | ||
9.5 | odd | 6 | inner | 297.2.t.a.260.8 | 80 | ||
9.7 | even | 3 | 891.2.k.a.161.5 | 80 | |||
11.8 | odd | 10 | inner | 297.2.t.a.8.8 | 80 | ||
33.8 | even | 10 | 99.2.p.a.74.3 | yes | 80 | ||
99.41 | even | 30 | inner | 297.2.t.a.206.8 | 80 | ||
99.52 | odd | 30 | 891.2.k.a.404.16 | 80 | |||
99.74 | even | 30 | 891.2.k.a.404.5 | 80 | |||
99.85 | odd | 30 | 99.2.p.a.41.3 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.3 | ✓ | 80 | 3.2 | odd | 2 | ||
99.2.p.a.41.3 | yes | 80 | 99.85 | odd | 30 | ||
99.2.p.a.74.3 | yes | 80 | 33.8 | even | 10 | ||
99.2.p.a.95.3 | yes | 80 | 9.4 | even | 3 | ||
297.2.t.a.8.8 | 80 | 11.8 | odd | 10 | inner | ||
297.2.t.a.62.8 | 80 | 1.1 | even | 1 | trivial | ||
297.2.t.a.206.8 | 80 | 99.41 | even | 30 | inner | ||
297.2.t.a.260.8 | 80 | 9.5 | odd | 6 | inner | ||
891.2.k.a.161.5 | 80 | 9.7 | even | 3 | |||
891.2.k.a.161.16 | 80 | 9.2 | odd | 6 | |||
891.2.k.a.404.5 | 80 | 99.74 | even | 30 | |||
891.2.k.a.404.16 | 80 | 99.52 | odd | 30 |