Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(139,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bi (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 139.12 | ||
Character | \(\chi\) | \(=\) | 252.139 |
Dual form | 252.2.bi.c.223.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07529 | + | 0.918559i | −0.760345 | + | 0.649519i | ||||
\(3\) | 0.476707 | + | 1.66516i | 0.275227 | + | 0.961379i | ||||
\(4\) | 0.312499 | − | 1.97544i | 0.156250 | − | 0.987718i | ||||
\(5\) | −0.0753642 | − | 0.0435115i | −0.0337039 | − | 0.0194590i | 0.483053 | − | 0.875591i | \(-0.339528\pi\) |
−0.516757 | + | 0.856132i | \(0.672861\pi\) | |||||||
\(6\) | −2.04214 | − | 1.35264i | −0.833702 | − | 0.552215i | ||||
\(7\) | 2.31226 | + | 1.28587i | 0.873953 | + | 0.486011i | ||||
\(8\) | 1.47853 | + | 2.41122i | 0.522738 | + | 0.852493i | ||||
\(9\) | −2.54550 | + | 1.58759i | −0.848500 | + | 0.529195i | ||||
\(10\) | 0.121006 | − | 0.0224389i | 0.0382656 | − | 0.00709581i | ||||
\(11\) | −1.68051 | + | 0.970240i | −0.506691 | + | 0.292538i | −0.731473 | − | 0.681871i | \(-0.761167\pi\) |
0.224781 | + | 0.974409i | \(0.427833\pi\) | |||||||
\(12\) | 3.43838 | − | 0.421344i | 0.992575 | − | 0.121631i | ||||
\(13\) | 3.30872 | + | 1.91029i | 0.917674 | + | 0.529820i | 0.882892 | − | 0.469575i | \(-0.155593\pi\) |
0.0347820 | + | 0.999395i | \(0.488926\pi\) | |||||||
\(14\) | −3.66750 | + | 0.741269i | −0.980179 | + | 0.198113i | ||||
\(15\) | 0.0365269 | − | 0.146236i | 0.00943121 | − | 0.0377579i | ||||
\(16\) | −3.80469 | − | 1.23464i | −0.951172 | − | 0.308661i | ||||
\(17\) | 3.56266i | 0.864071i | 0.901857 | + | 0.432035i | \(0.142204\pi\) | ||||
−0.901857 | + | 0.432035i | \(0.857796\pi\) | |||||||
\(18\) | 1.27886 | − | 4.04531i | 0.301431 | − | 0.953488i | ||||
\(19\) | −0.00157027 | −0.000360246 | −0.000180123 | − | 1.00000i | \(-0.500057\pi\) | ||||
−0.000180123 | 1.00000i | \(0.500057\pi\) | ||||||||
\(20\) | −0.109506 | + | 0.135280i | −0.0244862 | + | 0.0302495i | ||||
\(21\) | −1.03890 | + | 4.46326i | −0.226706 | + | 0.973963i | ||||
\(22\) | 0.915809 | − | 2.58693i | 0.195251 | − | 0.551536i | ||||
\(23\) | −3.54164 | − | 2.04477i | −0.738484 | − | 0.426364i | 0.0830341 | − | 0.996547i | \(-0.473539\pi\) |
−0.821518 | + | 0.570183i | \(0.806872\pi\) | |||||||
\(24\) | −3.31023 | + | 3.61142i | −0.675698 | + | 0.737179i | ||||
\(25\) | −2.49621 | − | 4.32357i | −0.499243 | − | 0.864714i | ||||
\(26\) | −5.31255 | + | 0.985138i | −1.04188 | + | 0.193201i | ||||
\(27\) | −3.85704 | − | 3.48185i | −0.742287 | − | 0.670082i | ||||
\(28\) | 3.26272 | − | 4.16589i | 0.616597 | − | 0.787279i | ||||
\(29\) | 1.71473 | + | 2.96999i | 0.318417 | + | 0.551514i | 0.980158 | − | 0.198218i | \(-0.0635155\pi\) |
−0.661741 | + | 0.749732i | \(0.730182\pi\) | |||||||
\(30\) | 0.0950489 | + | 0.190798i | 0.0173535 | + | 0.0348348i | ||||
\(31\) | −1.51690 | + | 2.62736i | −0.272444 | + | 0.471887i | −0.969487 | − | 0.245142i | \(-0.921165\pi\) |
0.697043 | + | 0.717029i | \(0.254499\pi\) | |||||||
\(32\) | 5.22524 | − | 2.16723i | 0.923700 | − | 0.383116i | ||||
\(33\) | −2.41671 | − | 2.33579i | −0.420696 | − | 0.406608i | ||||
\(34\) | −3.27251 | − | 3.83089i | −0.561231 | − | 0.656992i | ||||
\(35\) | −0.118312 | − | 0.197518i | −0.0199983 | − | 0.0333867i | ||||
\(36\) | 2.34071 | + | 5.52459i | 0.390118 | + | 0.920765i | ||||
\(37\) | −0.230504 | −0.0378947 | −0.0189473 | − | 0.999820i | \(-0.506031\pi\) | ||||
−0.0189473 | + | 0.999820i | \(0.506031\pi\) | |||||||
\(38\) | 0.00168850 | − | 0.00144239i | 0.000273911 | − | 0.000233986i | ||||
\(39\) | −1.60364 | + | 6.42019i | −0.256789 | + | 1.02805i | ||||
\(40\) | −0.00651223 | − | 0.246052i | −0.00102967 | − | 0.0389043i | ||||
\(41\) | 5.09104 | + | 2.93931i | 0.795086 | + | 0.459043i | 0.841750 | − | 0.539867i | \(-0.181526\pi\) |
−0.0466638 | + | 0.998911i | \(0.514859\pi\) | |||||||
\(42\) | −2.98265 | − | 5.75359i | −0.460233 | − | 0.887798i | ||||
\(43\) | 7.75595 | − | 4.47790i | 1.18277 | − | 0.682873i | 0.226117 | − | 0.974100i | \(-0.427397\pi\) |
0.956654 | + | 0.291227i | \(0.0940636\pi\) | |||||||
\(44\) | 1.39149 | + | 3.62293i | 0.209775 | + | 0.546177i | ||||
\(45\) | 0.260918 | − | 0.00888846i | 0.0388953 | − | 0.00132501i | ||||
\(46\) | 5.68653 | − | 1.05449i | 0.838434 | − | 0.155476i | ||||
\(47\) | −1.45112 | − | 2.51342i | −0.211668 | − | 0.366620i | 0.740569 | − | 0.671981i | \(-0.234556\pi\) |
−0.952237 | + | 0.305361i | \(0.901223\pi\) | |||||||
\(48\) | 0.242154 | − | 6.92397i | 0.0349520 | − | 0.999389i | ||||
\(49\) | 3.69310 | + | 5.94651i | 0.527586 | + | 0.849502i | ||||
\(50\) | 6.65561 | + | 2.35617i | 0.941245 | + | 0.333213i | ||||
\(51\) | −5.93238 | + | 1.69834i | −0.830700 | + | 0.237816i | ||||
\(52\) | 4.80763 | − | 5.93920i | 0.666698 | − | 0.823619i | ||||
\(53\) | 7.09519 | 0.974599 | 0.487299 | − | 0.873235i | \(-0.337982\pi\) | ||||
0.487299 | + | 0.873235i | \(0.337982\pi\) | |||||||
\(54\) | 7.34572 | + | 0.201079i | 0.999626 | + | 0.0273634i | ||||
\(55\) | 0.168867 | 0.0227700 | ||||||||
\(56\) | 0.318240 | + | 7.47654i | 0.0425266 | + | 0.999095i | ||||
\(57\) | −0.000748561 | − | 0.00261475i | −9.91493e−5 | − | 0.000346333i | ||||
\(58\) | −4.57195 | − | 1.61853i | −0.600326 | − | 0.212523i | ||||
\(59\) | 5.77529 | − | 10.0031i | 0.751879 | − | 1.30229i | −0.195032 | − | 0.980797i | \(-0.562481\pi\) |
0.946911 | − | 0.321495i | \(-0.104185\pi\) | |||||||
\(60\) | −0.277464 | − | 0.117855i | −0.0358205 | − | 0.0152150i | ||||
\(61\) | −5.32949 | + | 3.07698i | −0.682371 | + | 0.393967i | −0.800748 | − | 0.599002i | \(-0.795564\pi\) |
0.118377 | + | 0.992969i | \(0.462231\pi\) | |||||||
\(62\) | −0.782268 | − | 4.21854i | −0.0993481 | − | 0.535755i | ||||
\(63\) | −7.92728 | + | 0.397742i | −0.998744 | + | 0.0501108i | ||||
\(64\) | −3.62792 | + | 7.13009i | −0.453490 | + | 0.891261i | ||||
\(65\) | −0.166239 | − | 0.287935i | −0.0206195 | − | 0.0357140i | ||||
\(66\) | 4.74422 | + | 0.291756i | 0.583974 | + | 0.0359127i | ||||
\(67\) | 9.82677 | + | 5.67349i | 1.20053 | + | 0.693127i | 0.960673 | − | 0.277681i | \(-0.0895657\pi\) |
0.239858 | + | 0.970808i | \(0.422899\pi\) | |||||||
\(68\) | 7.03780 | + | 1.11333i | 0.853458 | + | 0.135011i | ||||
\(69\) | 1.71654 | − | 6.87215i | 0.206647 | − | 0.827310i | ||||
\(70\) | 0.308652 | + | 0.103713i | 0.0368909 | + | 0.0123961i | ||||
\(71\) | − | 15.1314i | − | 1.79577i | −0.440231 | − | 0.897885i | \(-0.645103\pi\) | ||
0.440231 | − | 0.897885i | \(-0.354897\pi\) | |||||||
\(72\) | −7.59160 | − | 3.79046i | −0.894679 | − | 0.446710i | ||||
\(73\) | − | 16.6300i | − | 1.94639i | −0.229982 | − | 0.973195i | \(-0.573867\pi\) | ||
0.229982 | − | 0.973195i | \(-0.426133\pi\) | |||||||
\(74\) | 0.247859 | − | 0.211732i | 0.0288130 | − | 0.0246133i | ||||
\(75\) | 6.00946 | − | 6.21767i | 0.693913 | − | 0.717954i | ||||
\(76\) | −0.000490709 | 0.00310197i | −5.62882e−5 | 0.000355821i | ||||||
\(77\) | −5.13336 | + | 0.0825454i | −0.585001 | + | 0.00940692i | ||||
\(78\) | −4.17294 | − | 8.37662i | −0.472493 | − | 0.948465i | ||||
\(79\) | 4.29129 | − | 2.47758i | 0.482808 | − | 0.278749i | −0.238778 | − | 0.971074i | \(-0.576747\pi\) |
0.721586 | + | 0.692325i | \(0.243413\pi\) | |||||||
\(80\) | 0.233016 | + | 0.258596i | 0.0260520 | + | 0.0289119i | ||||
\(81\) | 3.95914 | − | 8.08240i | 0.439905 | − | 0.898044i | ||||
\(82\) | −8.17427 | + | 1.51580i | −0.902698 | + | 0.167392i | ||||
\(83\) | 6.31136 | + | 10.9316i | 0.692762 | + | 1.19990i | 0.970929 | + | 0.239366i | \(0.0769396\pi\) |
−0.278168 | + | 0.960533i | \(0.589727\pi\) | |||||||
\(84\) | 8.49223 | + | 3.44704i | 0.926578 | + | 0.376103i | ||||
\(85\) | 0.155017 | − | 0.268497i | 0.0168139 | − | 0.0291226i | ||||
\(86\) | −4.22668 | + | 11.9393i | −0.455775 | + | 1.28745i | ||||
\(87\) | −4.12809 | + | 4.27111i | −0.442577 | + | 0.457911i | ||||
\(88\) | −4.82413 | − | 2.61754i | −0.514254 | − | 0.279030i | ||||
\(89\) | − | 9.06131i | − | 0.960496i | −0.877133 | − | 0.480248i | \(-0.840547\pi\) | ||
0.877133 | − | 0.480248i | \(-0.159453\pi\) | |||||||
\(90\) | −0.272398 | + | 0.249226i | −0.0287133 | + | 0.0262707i | ||||
\(91\) | 5.19425 | + | 8.67166i | 0.544506 | + | 0.909037i | ||||
\(92\) | −5.14607 | + | 6.35730i | −0.536515 | + | 0.662794i | ||||
\(93\) | −5.09808 | − | 1.27341i | −0.528646 | − | 0.132046i | ||||
\(94\) | 3.86910 | + | 1.36971i | 0.399067 | + | 0.141275i | ||||
\(95\) | 0.000118342 | 0 | 6.83250e-5i | 1.21417e−5 | 0 | 7.01000e-6i | ||||
\(96\) | 6.09969 | + | 7.66771i | 0.622547 | + | 0.782583i | ||||
\(97\) | −10.6191 | + | 6.13095i | −1.07821 | + | 0.622504i | −0.930413 | − | 0.366514i | \(-0.880551\pi\) |
−0.147796 | + | 0.989018i | \(0.547218\pi\) | |||||||
\(98\) | −9.43338 | − | 3.00190i | −0.952915 | − | 0.303237i | ||||
\(99\) | 2.73739 | − | 5.13769i | 0.275118 | − | 0.516358i | ||||
\(100\) | −9.32099 | + | 3.58000i | −0.932099 | + | 0.358000i | ||||
\(101\) | −11.7157 | + | 6.76406i | −1.16576 | + | 0.673049i | −0.952676 | − | 0.303986i | \(-0.901682\pi\) |
−0.213079 | + | 0.977035i | \(0.568349\pi\) | |||||||
\(102\) | 4.81901 | − | 7.27546i | 0.477153 | − | 0.720378i | ||||
\(103\) | −9.46167 | + | 16.3881i | −0.932286 | + | 1.61477i | −0.152882 | + | 0.988245i | \(0.548855\pi\) |
−0.779404 | + | 0.626522i | \(0.784478\pi\) | |||||||
\(104\) | 0.285907 | + | 10.8025i | 0.0280355 | + | 1.05927i | ||||
\(105\) | 0.272499 | − | 0.291166i | 0.0265932 | − | 0.0284149i | ||||
\(106\) | −7.62939 | + | 6.51735i | −0.741032 | + | 0.633021i | ||||
\(107\) | − | 5.97361i | − | 0.577491i | −0.957406 | − | 0.288745i | \(-0.906762\pi\) | ||
0.957406 | − | 0.288745i | \(-0.0932381\pi\) | |||||||
\(108\) | −8.08348 | + | 6.53126i | −0.777834 | + | 0.628470i | ||||
\(109\) | 12.7788 | 1.22399 | 0.611993 | − | 0.790863i | \(-0.290368\pi\) | ||||
0.611993 | + | 0.790863i | \(0.290368\pi\) | |||||||
\(110\) | −0.181581 | + | 0.155114i | −0.0173130 | + | 0.0147895i | ||||
\(111\) | −0.109883 | − | 0.383826i | −0.0104296 | − | 0.0364311i | ||||
\(112\) | −7.20985 | − | 7.74714i | −0.681267 | − | 0.732035i | ||||
\(113\) | 5.70148 | − | 9.87525i | 0.536350 | − | 0.928986i | −0.462747 | − | 0.886491i | \(-0.653136\pi\) |
0.999097 | − | 0.0424949i | \(-0.0135306\pi\) | |||||||
\(114\) | 0.00320673 | + | 0.00212402i | 0.000300337 | + | 0.000198933i | ||||
\(115\) | 0.177942 | + | 0.308205i | 0.0165932 | + | 0.0287402i | ||||
\(116\) | 6.40288 | − | 2.45921i | 0.594493 | − | 0.228332i | ||||
\(117\) | −11.4551 | + | 0.390231i | −1.05902 | + | 0.0360769i | ||||
\(118\) | 2.97832 | + | 16.0612i | 0.274176 | + | 1.47855i | ||||
\(119\) | −4.58109 | + | 8.23779i | −0.419948 | + | 0.755157i | ||||
\(120\) | 0.406612 | − | 0.128139i | 0.0371184 | − | 0.0116974i | ||||
\(121\) | −3.61727 | + | 6.26529i | −0.328843 | + | 0.569572i | ||||
\(122\) | 2.90436 | − | 8.20410i | 0.262948 | − | 0.742764i | ||||
\(123\) | −2.46748 | + | 9.87857i | −0.222485 | + | 0.890721i | ||||
\(124\) | 4.71614 | + | 3.81759i | 0.423522 | + | 0.342830i | ||||
\(125\) | 0.869572i | 0.0777769i | ||||||||
\(126\) | 8.15878 | − | 7.70936i | 0.726842 | − | 0.686805i | ||||
\(127\) | − | 7.53989i | − | 0.669057i | −0.942386 | − | 0.334529i | \(-0.891423\pi\) | ||
0.942386 | − | 0.334529i | \(-0.108577\pi\) | |||||||
\(128\) | −2.64834 | − | 10.9994i | −0.234082 | − | 0.972217i | ||||
\(129\) | 11.1537 | + | 10.7802i | 0.982030 | + | 0.949146i | ||||
\(130\) | 0.443241 | + | 0.156913i | 0.0388748 | + | 0.0137622i | ||||
\(131\) | 7.59210 | − | 13.1499i | 0.663325 | − | 1.14891i | −0.316412 | − | 0.948622i | \(-0.602478\pi\) |
0.979737 | − | 0.200290i | \(-0.0641885\pi\) | |||||||
\(132\) | −5.36941 | + | 4.04413i | −0.467347 | + | 0.351996i | ||||
\(133\) | −0.00363088 | − | 0.00201916i | −0.000314837 | − | 0.000175083i | ||||
\(134\) | −15.7781 | + | 2.92582i | −1.36302 | + | 0.252752i | ||||
\(135\) | 0.139182 | + | 0.430232i | 0.0119789 | + | 0.0370285i | ||||
\(136\) | −8.59033 | + | 5.26748i | −0.736615 | + | 0.451683i | ||||
\(137\) | −8.24542 | − | 14.2815i | −0.704454 | − | 1.22015i | −0.966888 | − | 0.255200i | \(-0.917859\pi\) |
0.262434 | − | 0.964950i | \(-0.415475\pi\) | |||||||
\(138\) | 4.46670 | + | 8.96630i | 0.380231 | + | 0.763262i | ||||
\(139\) | 4.86419 | − | 8.42502i | 0.412575 | − | 0.714601i | −0.582595 | − | 0.812762i | \(-0.697963\pi\) |
0.995171 | + | 0.0981613i | \(0.0312961\pi\) | |||||||
\(140\) | −0.427157 | + | 0.171993i | −0.0361013 | + | 0.0145361i | ||||
\(141\) | 3.49348 | − | 3.61451i | 0.294204 | − | 0.304397i | ||||
\(142\) | 13.8991 | + | 16.2707i | 1.16639 | + | 1.36540i | ||||
\(143\) | −7.41377 | −0.619970 | ||||||||
\(144\) | 11.6449 | − | 2.89748i | 0.970412 | − | 0.241457i | ||||
\(145\) | − | 0.298442i | − | 0.0247842i | ||||||
\(146\) | 15.2756 | + | 17.8820i | 1.26422 | + | 1.47993i | ||||
\(147\) | −8.14135 | + | 8.98434i | −0.671487 | + | 0.741016i | ||||
\(148\) | −0.0720324 | + | 0.455346i | −0.00592103 | + | 0.0374292i | ||||
\(149\) | −3.57700 | + | 6.19555i | −0.293039 | + | 0.507559i | −0.974527 | − | 0.224271i | \(-0.928000\pi\) |
0.681488 | + | 0.731830i | \(0.261333\pi\) | |||||||
\(150\) | −0.750624 | + | 12.2058i | −0.0612882 | + | 0.996603i | ||||
\(151\) | −13.0331 | + | 7.52468i | −1.06062 | + | 0.612350i | −0.925604 | − | 0.378493i | \(-0.876442\pi\) |
−0.135017 | + | 0.990843i | \(0.543109\pi\) | |||||||
\(152\) | −0.00232169 | − | 0.00378627i | −0.000188314 | − | 0.000307107i | ||||
\(153\) | −5.65602 | − | 9.06874i | −0.457262 | − | 0.733164i | ||||
\(154\) | 5.44404 | − | 4.80406i | 0.438693 | − | 0.387122i | ||||
\(155\) | 0.228641 | − | 0.132006i | 0.0183649 | − | 0.0106030i | ||||
\(156\) | 12.1815 | + | 5.17420i | 0.975304 | + | 0.414268i | ||||
\(157\) | −9.63504 | − | 5.56279i | −0.768960 | − | 0.443959i | 0.0635435 | − | 0.997979i | \(-0.479760\pi\) |
−0.832503 | + | 0.554020i | \(0.813093\pi\) | |||||||
\(158\) | −2.33858 | + | 6.60592i | −0.186048 | + | 0.525539i | ||||
\(159\) | 3.38233 | + | 11.8146i | 0.268236 | + | 0.936959i | ||||
\(160\) | −0.488095 | − | 0.0640267i | −0.0385873 | − | 0.00506175i | ||||
\(161\) | −5.55991 | − | 9.28211i | −0.438182 | − | 0.731533i | ||||
\(162\) | 3.16693 | + | 12.3276i | 0.248817 | + | 0.968550i | ||||
\(163\) | − | 5.32460i | − | 0.417055i | −0.978017 | − | 0.208527i | \(-0.933133\pi\) | ||
0.978017 | − | 0.208527i | \(-0.0668670\pi\) | |||||||
\(164\) | 7.39736 | − | 9.13848i | 0.577637 | − | 0.713595i | ||||
\(165\) | 0.0804999 | + | 0.281190i | 0.00626691 | + | 0.0218906i | ||||
\(166\) | −16.8279 | − | 5.95729i | −1.30610 | − | 0.462375i | ||||
\(167\) | −4.56646 | + | 7.90935i | −0.353364 | + | 0.612044i | −0.986836 | − | 0.161721i | \(-0.948295\pi\) |
0.633473 | + | 0.773765i | \(0.281629\pi\) | |||||||
\(168\) | −12.2979 | + | 4.09404i | −0.948805 | + | 0.315862i | ||||
\(169\) | 0.798427 | + | 1.38292i | 0.0614175 | + | 0.106378i | ||||
\(170\) | 0.0799421 | + | 0.431104i | 0.00613128 | + | 0.0330642i | ||||
\(171\) | 0.00399713 | − | 0.00249294i | 0.000305668 | − | 0.000190640i | ||||
\(172\) | −6.42207 | − | 16.7207i | −0.489678 | − | 1.27494i | ||||
\(173\) | 17.6303 | − | 10.1789i | 1.34041 | − | 0.773885i | 0.353541 | − | 0.935419i | \(-0.384977\pi\) |
0.986867 | + | 0.161534i | \(0.0516440\pi\) | |||||||
\(174\) | 0.515627 | − | 8.38457i | 0.0390896 | − | 0.635633i | ||||
\(175\) | −0.212371 | − | 13.2070i | −0.0160537 | − | 0.998356i | ||||
\(176\) | 7.59170 | − | 1.61664i | 0.572246 | − | 0.121859i | ||||
\(177\) | 19.4099 | + | 4.84822i | 1.45893 | + | 0.364415i | ||||
\(178\) | 8.32334 | + | 9.74354i | 0.623861 | + | 0.730309i | ||||
\(179\) | 13.7290i | 1.02616i | 0.858342 | + | 0.513079i | \(0.171495\pi\) | ||||
−0.858342 | + | 0.513079i | \(0.828505\pi\) | |||||||
\(180\) | 0.0639781 | − | 0.518204i | 0.00476864 | − | 0.0386247i | ||||
\(181\) | 1.29204i | 0.0960368i | 0.998846 | + | 0.0480184i | \(0.0152906\pi\) | ||||
−0.998846 | + | 0.0480184i | \(0.984709\pi\) | |||||||
\(182\) | −13.5508 | − | 4.55333i | −1.00445 | − | 0.337515i | ||||
\(183\) | −7.66426 | − | 7.40762i | −0.566559 | − | 0.547587i | ||||
\(184\) | −0.306034 | − | 11.5629i | −0.0225611 | − | 0.852429i | ||||
\(185\) | 0.0173718 | + | 0.0100296i | 0.00127720 | + | 0.000737390i | ||||
\(186\) | 6.65162 | − | 3.31361i | 0.487720 | − | 0.242965i | ||||
\(187\) | −3.45663 | − | 5.98706i | −0.252774 | − | 0.437817i | ||||
\(188\) | −5.41857 | + | 2.08116i | −0.395190 | + | 0.151784i | ||||
\(189\) | −4.44130 | − | 13.0106i | −0.323057 | − | 0.946380i | ||||
\(190\) | −0.000190013 | 0 | 3.52352e-5i | −1.37850e−5 | 0 | 2.55623e-6i | ||||
\(191\) | 5.19073 | − | 2.99687i | 0.375588 | − | 0.216846i | −0.300309 | − | 0.953842i | \(-0.597090\pi\) |
0.675897 | + | 0.736996i | \(0.263756\pi\) | |||||||
\(192\) | −13.6022 | − | 2.64210i | −0.981653 | − | 0.190677i | ||||
\(193\) | −6.79084 | + | 11.7621i | −0.488816 | + | 0.846654i | −0.999917 | − | 0.0128667i | \(-0.995904\pi\) |
0.511102 | + | 0.859520i | \(0.329238\pi\) | |||||||
\(194\) | 5.78700 | − | 16.3468i | 0.415482 | − | 1.17364i | ||||
\(195\) | 0.400210 | − | 0.414076i | 0.0286596 | − | 0.0296526i | ||||
\(196\) | 12.9010 | − | 5.43720i | 0.921503 | − | 0.388372i | ||||
\(197\) | −12.0508 | −0.858584 | −0.429292 | − | 0.903166i | \(-0.641237\pi\) | ||||
−0.429292 | + | 0.903166i | \(0.641237\pi\) | |||||||
\(198\) | 1.77579 | + | 8.03896i | 0.126200 | + | 0.571304i | ||||
\(199\) | 8.41280 | 0.596368 | 0.298184 | − | 0.954508i | \(-0.403619\pi\) | ||||
0.298184 | + | 0.954508i | \(0.403619\pi\) | |||||||
\(200\) | 6.73434 | − | 12.4114i | 0.476190 | − | 0.877620i | ||||
\(201\) | −4.76276 | + | 19.0677i | −0.335939 | + | 1.34493i | ||||
\(202\) | 6.38459 | − | 18.0349i | 0.449218 | − | 1.26893i | ||||
\(203\) | 0.145884 | + | 9.07231i | 0.0102391 | + | 0.636751i | ||||
\(204\) | 1.50110 | + | 12.2498i | 0.105098 | + | 0.857656i | ||||
\(205\) | −0.255788 | − | 0.443038i | −0.0178650 | − | 0.0309431i | ||||
\(206\) | −4.87938 | − | 26.3131i | −0.339963 | − | 1.83332i | ||||
\(207\) | 12.2615 | − | 0.417702i | 0.852233 | − | 0.0290323i | ||||
\(208\) | −10.2301 | − | 11.3532i | −0.709332 | − | 0.787200i | ||||
\(209\) | 0.00263885 | − | 0.00152354i | 0.000182533 | − | 0.000105386i | ||||
\(210\) | −0.0255624 | + | 0.563395i | −0.00176397 | + | 0.0388779i | ||||
\(211\) | −12.1289 | − | 7.00263i | −0.834988 | − | 0.482081i | 0.0205694 | − | 0.999788i | \(-0.493452\pi\) |
−0.855557 | + | 0.517708i | \(0.826785\pi\) | |||||||
\(212\) | 2.21724 | − | 14.0161i | 0.152281 | − | 0.962628i | ||||
\(213\) | 25.1962 | − | 7.21326i | 1.72642 | − | 0.494244i | ||||
\(214\) | 5.48711 | + | 6.42337i | 0.375091 | + | 0.439092i | ||||
\(215\) | −0.779361 | −0.0531520 | ||||||||
\(216\) | 2.69275 | − | 14.4482i | 0.183218 | − | 0.983072i | ||||
\(217\) | −6.88590 | + | 4.12460i | −0.467446 | + | 0.279996i | ||||
\(218\) | −13.7409 | + | 11.7381i | −0.930652 | + | 0.795002i | ||||
\(219\) | 27.6915 | − | 7.92762i | 1.87122 | − | 0.535699i | ||||
\(220\) | 0.0527707 | − | 0.333585i | 0.00355780 | − | 0.0224903i | ||||
\(221\) | −6.80571 | + | 11.7878i | −0.457802 | + | 0.792936i | ||||
\(222\) | 0.470723 | + | 0.311790i | 0.0315928 | + | 0.0209260i | ||||
\(223\) | −2.41887 | − | 4.18961i | −0.161980 | − | 0.280557i | 0.773599 | − | 0.633676i | \(-0.218455\pi\) |
−0.935579 | + | 0.353118i | \(0.885121\pi\) | |||||||
\(224\) | 14.8689 | + | 1.70775i | 0.993469 | + | 0.114104i | ||||
\(225\) | 13.2181 | + | 7.04269i | 0.881210 | + | 0.469513i | ||||
\(226\) | 2.94025 | + | 15.8559i | 0.195583 | + | 1.05472i | ||||
\(227\) | −3.48794 | − | 6.04129i | −0.231503 | − | 0.400975i | 0.726748 | − | 0.686904i | \(-0.241031\pi\) |
−0.958251 | + | 0.285930i | \(0.907698\pi\) | |||||||
\(228\) | −0.00539920 | 0.000661625i | −0.000357571 | 4.38172e-5i | ||||||
\(229\) | 22.3529 | + | 12.9055i | 1.47712 | + | 0.852818i | 0.999666 | − | 0.0258374i | \(-0.00822520\pi\) |
0.477457 | + | 0.878655i | \(0.341559\pi\) | |||||||
\(230\) | −0.474444 | − | 0.167959i | −0.0312839 | − | 0.0110749i | ||||
\(231\) | −2.58456 | − | 8.50851i | −0.170052 | − | 0.559819i | ||||
\(232\) | −4.62603 | + | 8.52579i | −0.303714 | + | 0.559746i | ||||
\(233\) | 2.59217 | 0.169819 | 0.0849094 | − | 0.996389i | \(-0.472940\pi\) | ||||
0.0849094 | + | 0.996389i | \(0.472940\pi\) | |||||||
\(234\) | 11.9591 | − | 10.9418i | 0.781792 | − | 0.715288i | ||||
\(235\) | 0.252562i | 0.0164753i | ||||||||
\(236\) | −17.9557 | − | 14.5347i | −1.16882 | − | 0.946127i | ||||
\(237\) | 6.17125 | + | 5.96460i | 0.400866 | + | 0.387442i | ||||
\(238\) | −2.64089 | − | 13.0660i | −0.171183 | − | 0.846944i | ||||
\(239\) | 4.42624 | + | 2.55549i | 0.286310 | + | 0.165301i | 0.636276 | − | 0.771461i | \(-0.280474\pi\) |
−0.349967 | + | 0.936762i | \(0.613807\pi\) | |||||||
\(240\) | −0.319522 | + | 0.511283i | −0.0206251 | + | 0.0330032i | ||||
\(241\) | −6.37110 | + | 3.67836i | −0.410399 | + | 0.236944i | −0.690961 | − | 0.722892i | \(-0.742812\pi\) |
0.280562 | + | 0.959836i | \(0.409479\pi\) | |||||||
\(242\) | −1.86543 | − | 10.0597i | −0.119914 | − | 0.646661i | ||||
\(243\) | 15.3458 | + | 2.73966i | 0.984435 | + | 0.175749i | ||||
\(244\) | 4.41292 | + | 11.4896i | 0.282508 | + | 0.735547i | ||||
\(245\) | −0.0195858 | − | 0.608847i | −0.00125129 | − | 0.0388978i | ||||
\(246\) | −6.42079 | − | 12.8889i | −0.409374 | − | 0.821764i | ||||
\(247\) | −0.00519560 | − | 0.00299968i | −0.000330588 | − | 0.000190865i | ||||
\(248\) | −8.57790 | + | 0.227030i | −0.544697 | + | 0.0144164i | ||||
\(249\) | −15.1942 | + | 15.7206i | −0.962891 | + | 0.996251i | ||||
\(250\) | −0.798753 | − | 0.935042i | −0.0505176 | − | 0.0591373i | ||||
\(251\) | −6.83111 | −0.431176 | −0.215588 | − | 0.976484i | \(-0.569167\pi\) | ||||
−0.215588 | + | 0.976484i | \(0.569167\pi\) | |||||||
\(252\) | −1.69156 | + | 15.7841i | −0.106558 | + | 0.994306i | ||||
\(253\) | 7.93567 | 0.498911 | ||||||||
\(254\) | 6.92584 | + | 8.10758i | 0.434566 | + | 0.508715i | ||||
\(255\) | 0.520987 | + | 0.130133i | 0.0326255 | + | 0.00814924i | ||||
\(256\) | 12.9513 | + | 9.39487i | 0.809457 | + | 0.587179i | ||||
\(257\) | 16.9529 | + | 9.78775i | 1.05749 | + | 0.610543i | 0.924737 | − | 0.380606i | \(-0.124285\pi\) |
0.132754 | + | 0.991149i | \(0.457618\pi\) | |||||||
\(258\) | −21.8958 | − | 1.34653i | −1.36317 | − | 0.0838311i | ||||
\(259\) | −0.532986 | − | 0.296397i | −0.0331181 | − | 0.0184172i | ||||
\(260\) | −0.620747 | + | 0.238416i | −0.0384971 | + | 0.0147859i | ||||
\(261\) | −9.07996 | − | 4.83785i | −0.562035 | − | 0.299455i | ||||
\(262\) | 3.91525 | + | 21.1138i | 0.241885 | + | 1.30441i | ||||
\(263\) | 1.91788 | − | 1.10729i | 0.118262 | − | 0.0682784i | −0.439702 | − | 0.898144i | \(-0.644916\pi\) |
0.557964 | + | 0.829865i | \(0.311583\pi\) | |||||||
\(264\) | 2.05891 | − | 9.28073i | 0.126717 | − | 0.571190i | ||||
\(265\) | −0.534723 | − | 0.308723i | −0.0328478 | − | 0.0189647i | ||||
\(266\) | 0.00575897 | − | 0.00116400i | 0.000353105 | − | 7.13692e-5i | ||||
\(267\) | 15.0885 | − | 4.31959i | 0.923401 | − | 0.264355i | ||||
\(268\) | 14.2785 | − | 17.6392i | 0.872197 | − | 1.07749i | ||||
\(269\) | 22.7144i | 1.38492i | 0.721455 | + | 0.692461i | \(0.243473\pi\) | ||||
−0.721455 | + | 0.692461i | \(0.756527\pi\) | |||||||
\(270\) | −0.544855 | − | 0.334778i | −0.0331588 | − | 0.0203739i | ||||
\(271\) | −29.2323 | −1.77574 | −0.887868 | − | 0.460098i | \(-0.847814\pi\) | ||||
−0.887868 | + | 0.460098i | \(0.847814\pi\) | |||||||
\(272\) | 4.39861 | − | 13.5548i | 0.266705 | − | 0.821880i | ||||
\(273\) | −11.9635 | + | 12.7831i | −0.724067 | + | 0.773668i | ||||
\(274\) | 21.9846 | + | 7.78284i | 1.32814 | + | 0.470179i | ||||
\(275\) | 8.38980 | + | 4.84385i | 0.505924 | + | 0.292095i | ||||
\(276\) | −13.0391 | − | 5.53845i | −0.784860 | − | 0.333375i | ||||
\(277\) | −4.13808 | − | 7.16737i | −0.248633 | − | 0.430645i | 0.714514 | − | 0.699622i | \(-0.246648\pi\) |
−0.963147 | + | 0.268976i | \(0.913315\pi\) | |||||||
\(278\) | 2.50846 | + | 13.5274i | 0.150448 | + | 0.811319i | ||||
\(279\) | −0.309871 | − | 9.09615i | −0.0185515 | − | 0.544572i | ||||
\(280\) | 0.301332 | − | 0.577311i | 0.0180080 | − | 0.0345009i | ||||
\(281\) | 7.55145 | + | 13.0795i | 0.450482 | + | 0.780257i | 0.998416 | − | 0.0562642i | \(-0.0179189\pi\) |
−0.547934 | + | 0.836521i | \(0.684586\pi\) | |||||||
\(282\) | −0.436360 | + | 7.09561i | −0.0259848 | + | 0.422538i | ||||
\(283\) | 3.68016 | − | 6.37423i | 0.218763 | − | 0.378909i | −0.735667 | − | 0.677343i | \(-0.763131\pi\) |
0.954430 | + | 0.298435i | \(0.0964645\pi\) | |||||||
\(284\) | −29.8911 | − | 4.72856i | −1.77371 | − | 0.280588i | ||||
\(285\) | −5.73573e−5 | 0 | 0.000229630i | −3.39755e−6 | 0 | 1.36021e-5i | ||||
\(286\) | 7.97195 | − | 6.80998i | 0.471391 | − | 0.402683i | ||||
\(287\) | 7.99225 | + | 13.3428i | 0.471767 | + | 0.787603i | ||||
\(288\) | −9.86018 | + | 13.8122i | −0.581017 | + | 0.813891i | ||||
\(289\) | 4.30748 | 0.253381 | ||||||||
\(290\) | 0.274136 | + | 0.320912i | 0.0160978 | + | 0.0188446i | ||||
\(291\) | −15.2712 | − | 14.7598i | −0.895215 | − | 0.865237i | ||||
\(292\) | −32.8514 | − | 5.19685i | −1.92248 | − | 0.304123i | ||||
\(293\) | −15.3641 | − | 8.87049i | −0.897583 | − | 0.518220i | −0.0211675 | − | 0.999776i | \(-0.506738\pi\) |
−0.876415 | + | 0.481556i | \(0.840072\pi\) | |||||||
\(294\) | 0.501670 | − | 17.1391i | 0.0292580 | − | 0.999572i | ||||
\(295\) | −0.870500 | + | 0.502584i | −0.0506825 | + | 0.0292616i | ||||
\(296\) | −0.340806 | − | 0.555795i | −0.0198090 | − | 0.0323049i | ||||
\(297\) | 9.86000 | + | 2.10901i | 0.572135 | + | 0.122377i | ||||
\(298\) | −1.84466 | − | 9.94770i | −0.106858 | − | 0.576255i | ||||
\(299\) | −7.81221 | − | 13.5311i | −0.451792 | − | 0.782526i | ||||
\(300\) | −10.4046 | − | 13.8143i | −0.600712 | − | 0.797570i | ||||
\(301\) | 23.6917 | − | 0.380967i | 1.36557 | − | 0.0219586i | ||||
\(302\) | 7.10254 | − | 20.0629i | 0.408705 | − | 1.15449i | ||||
\(303\) | −16.8482 | − | 16.2840i | −0.967903 | − | 0.935491i | ||||
\(304\) | 0.00597440 | + | 0.00193873i | 0.000342655 | + | 0.000111194i | ||||
\(305\) | 0.535537 | 0.0306648 | ||||||||
\(306\) | 14.4120 | + | 4.55614i | 0.823881 | + | 0.260457i | ||||
\(307\) | 11.5790 | 0.660849 | 0.330425 | − | 0.943832i | \(-0.392808\pi\) | ||||
0.330425 | + | 0.943832i | \(0.392808\pi\) | |||||||
\(308\) | −1.44111 | + | 10.1664i | −0.0821148 | + | 0.579286i | ||||
\(309\) | −31.7992 | − | 7.94285i | −1.80899 | − | 0.451853i | ||||
\(310\) | −0.124600 | + | 0.351964i | −0.00707681 | + | 0.0199902i | ||||
\(311\) | −13.4363 | + | 23.2724i | −0.761905 | + | 1.31966i | 0.179963 | + | 0.983673i | \(0.442402\pi\) |
−0.941868 | + | 0.335984i | \(0.890931\pi\) | |||||||
\(312\) | −17.8515 | + | 5.62569i | −1.01064 | + | 0.318492i | ||||
\(313\) | 3.50952 | − | 2.02622i | 0.198370 | − | 0.114529i | −0.397525 | − | 0.917591i | \(-0.630131\pi\) |
0.595895 | + | 0.803062i | \(0.296798\pi\) | |||||||
\(314\) | 15.4702 | − | 2.86873i | 0.873035 | − | 0.161892i | ||||
\(315\) | 0.614740 | + | 0.314953i | 0.0346367 | + | 0.0177456i | ||||
\(316\) | −3.55327 | − | 9.25141i | −0.199887 | − | 0.520432i | ||||
\(317\) | 0.536393 | + | 0.929060i | 0.0301268 | + | 0.0521812i | 0.880696 | − | 0.473682i | \(-0.157076\pi\) |
−0.850569 | + | 0.525864i | \(0.823742\pi\) | |||||||
\(318\) | −14.4894 | − | 9.59727i | −0.812525 | − | 0.538188i | ||||
\(319\) | −5.76322 | − | 3.32739i | −0.322678 | − | 0.186298i | ||||
\(320\) | 0.583657 | − | 0.379497i | 0.0326274 | − | 0.0212145i | ||||
\(321\) | 9.94700 | − | 2.84766i | 0.555188 | − | 0.158941i | ||||
\(322\) | 14.5047 | + | 4.87387i | 0.808314 | + | 0.271610i | ||||
\(323\) | − | 0.00559434i | − | 0.000311278i | ||||||
\(324\) | −14.7290 | − | 10.3468i | −0.818279 | − | 0.574821i | ||||
\(325\) | − | 19.0740i | − | 1.05803i | ||||||
\(326\) | 4.89096 | + | 5.72549i | 0.270885 | + | 0.317106i | ||||
\(327\) | 6.09174 | + | 21.2787i | 0.336874 | + | 1.17671i | ||||
\(328\) | 0.439917 | + | 16.6214i | 0.0242903 | + | 0.917765i | ||||
\(329\) | −0.123458 | − | 7.67762i | −0.00680644 | − | 0.423281i | ||||
\(330\) | −0.344850 | − | 0.228416i | −0.0189834 | − | 0.0125739i | ||||
\(331\) | −15.1087 | + | 8.72301i | −0.830449 | + | 0.479460i | −0.854007 | − | 0.520262i | \(-0.825834\pi\) |
0.0235571 | + | 0.999722i | \(0.492501\pi\) | |||||||
\(332\) | 23.5670 | − | 9.05157i | 1.29340 | − | 0.496769i | ||||
\(333\) | 0.586748 | − | 0.365945i | 0.0321536 | − | 0.0200537i | ||||
\(334\) | −2.35493 | − | 12.6994i | −0.128856 | − | 0.694881i | ||||
\(335\) | −0.493725 | − | 0.855156i | −0.0269751 | − | 0.0467222i | ||||
\(336\) | 9.46322 | − | 15.6986i | 0.516261 | − | 0.856431i | ||||
\(337\) | −4.93338 | + | 8.54486i | −0.268738 | + | 0.465468i | −0.968536 | − | 0.248873i | \(-0.919940\pi\) |
0.699798 | + | 0.714341i | \(0.253273\pi\) | |||||||
\(338\) | −2.12883 | − | 0.753634i | −0.115793 | − | 0.0409923i | ||||
\(339\) | 19.1618 | + | 4.78626i | 1.04073 | + | 0.259954i | ||||
\(340\) | −0.481955 | − | 0.390130i | −0.0261377 | − | 0.0211578i | ||||
\(341\) | − | 5.88705i | − | 0.318801i | ||||||
\(342\) | −0.00200816 | + | 0.00635224i | −0.000108589 | + | 0.000343490i | ||||
\(343\) | 0.893004 | + | 18.4987i | 0.0482177 | + | 0.998837i | ||||
\(344\) | 22.2645 | + | 12.0806i | 1.20042 | + | 0.651341i | ||||
\(345\) | −0.428383 | + | 0.443225i | −0.0230634 | + | 0.0238624i | ||||
\(346\) | −9.60782 | + | 27.1397i | −0.516520 | + | 1.45904i | ||||
\(347\) | 2.01004 | + | 1.16050i | 0.107905 | + | 0.0622988i | 0.552981 | − | 0.833194i | \(-0.313490\pi\) |
−0.445076 | + | 0.895493i | \(0.646823\pi\) | |||||||
\(348\) | 7.14728 | + | 9.48949i | 0.383134 | + | 0.508690i | ||||
\(349\) | 4.37081 | − | 2.52349i | 0.233964 | − | 0.135079i | −0.378435 | − | 0.925628i | \(-0.623538\pi\) |
0.612400 | + | 0.790548i | \(0.290204\pi\) | |||||||
\(350\) | 12.3598 | + | 14.0063i | 0.660658 | + | 0.748668i | ||||
\(351\) | −6.11053 | − | 18.8885i | −0.326156 | − | 1.00820i | ||||
\(352\) | −6.67831 | + | 8.71178i | −0.355955 | + | 0.464339i | ||||
\(353\) | −17.5065 | + | 10.1074i | −0.931777 | + | 0.537962i | −0.887373 | − | 0.461052i | \(-0.847472\pi\) |
−0.0444039 | + | 0.999014i | \(0.514139\pi\) | |||||||
\(354\) | −25.3246 | + | 12.6158i | −1.34599 | + | 0.670525i | ||||
\(355\) | −0.658392 | + | 1.14037i | −0.0349438 | + | 0.0605244i | ||||
\(356\) | −17.9000 | − | 2.83165i | −0.948699 | − | 0.150077i | ||||
\(357\) | −15.9011 | − | 3.70123i | −0.841573 | − | 0.195890i | ||||
\(358\) | −12.6109 | − | 14.7627i | −0.666509 | − | 0.780234i | ||||
\(359\) | 22.2990i | 1.17690i | 0.808535 | + | 0.588448i | \(0.200261\pi\) | ||||
−0.808535 | + | 0.588448i | \(0.799739\pi\) | |||||||
\(360\) | 0.407206 | + | 0.615988i | 0.0214616 | + | 0.0324654i | ||||
\(361\) | −19.0000 | −1.00000 | ||||||||
\(362\) | −1.18682 | − | 1.38932i | −0.0623778 | − | 0.0730212i | ||||
\(363\) | −12.1571 | − | 3.03661i | −0.638081 | − | 0.159381i | ||||
\(364\) | 18.7535 | − | 7.55102i | 0.982951 | − | 0.395781i | ||||
\(365\) | −0.723595 | + | 1.25330i | −0.0378747 | + | 0.0656009i | ||||
\(366\) | 15.0456 | + | 0.925264i | 0.786448 | + | 0.0483643i | ||||
\(367\) | 2.04752 | + | 3.54641i | 0.106880 | + | 0.185121i | 0.914505 | − | 0.404576i | \(-0.132581\pi\) |
−0.807625 | + | 0.589696i | \(0.799247\pi\) | |||||||
\(368\) | 10.9503 | + | 12.1524i | 0.570823 | + | 0.633486i | ||||
\(369\) | −17.6256 | + | 0.600437i | −0.917554 | + | 0.0312575i | ||||
\(370\) | −0.0278925 | + | 0.00517226i | −0.00145006 | + | 0.000268893i | ||||
\(371\) | 16.4059 | + | 9.12345i | 0.851753 | + | 0.473666i | ||||
\(372\) | −4.10868 | + | 9.67299i | −0.213025 | + | 0.501521i | ||||
\(373\) | 12.0913 | − | 20.9428i | 0.626064 | − | 1.08438i | −0.362270 | − | 0.932073i | \(-0.617998\pi\) |
0.988334 | − | 0.152302i | \(-0.0486686\pi\) | |||||||
\(374\) | 9.21635 | + | 3.26271i | 0.476566 | + | 0.168711i | ||||
\(375\) | −1.44797 | + | 0.414531i | −0.0747731 | + | 0.0214063i | ||||
\(376\) | 3.91487 | − | 7.21512i | 0.201894 | − | 0.372091i | ||||
\(377\) | 13.1025i | 0.674814i | ||||||||
\(378\) | 16.7267 | + | 9.91055i | 0.860326 | + | 0.509744i | ||||
\(379\) | 4.84485i | 0.248863i | 0.992228 | + | 0.124432i | \(0.0397107\pi\) | ||||
−0.992228 | + | 0.124432i | \(0.960289\pi\) | |||||||
\(380\) | 0.000171954 | 0 | 0.000212426i | 8.82103e−6 | 0 | 1.08972e-5i | ||||
\(381\) | 12.5551 | − | 3.59432i | 0.643218 | − | 0.184143i | ||||
\(382\) | −2.82874 | + | 7.99050i | −0.144731 | + | 0.408830i | ||||
\(383\) | −0.601970 | + | 1.04264i | −0.0307592 | + | 0.0532765i | −0.880995 | − | 0.473125i | \(-0.843126\pi\) |
0.850236 | + | 0.526402i | \(0.176459\pi\) | |||||||
\(384\) | 17.0532 | − | 9.65338i | 0.870243 | − | 0.492622i | ||||
\(385\) | 0.390464 | + | 0.217140i | 0.0198999 | + | 0.0110665i | ||||
\(386\) | −3.50204 | − | 18.8855i | −0.178249 | − | 0.961244i | ||||
\(387\) | −12.6337 | + | 23.7117i | −0.642208 | + | 1.20533i | ||||
\(388\) | 8.79283 | + | 22.8933i | 0.446389 | + | 1.16223i | ||||
\(389\) | 10.3048 | + | 17.8485i | 0.522475 | + | 0.904954i | 0.999658 | + | 0.0261497i | \(0.00832467\pi\) |
−0.477183 | + | 0.878804i | \(0.658342\pi\) | |||||||
\(390\) | −0.0499890 | + | 0.812868i | −0.00253129 | + | 0.0411612i | ||||
\(391\) | 7.28481 | − | 12.6177i | 0.368408 | − | 0.638102i | ||||
\(392\) | −8.87797 | + | 17.6969i | −0.448405 | + | 0.893830i | ||||
\(393\) | 25.5159 | + | 6.37339i | 1.28711 | + | 0.321495i | ||||
\(394\) | 12.9581 | − | 11.0694i | 0.652820 | − | 0.557667i | ||||
\(395\) | −0.431213 | −0.0216967 | ||||||||
\(396\) | −9.29375 | − | 7.01306i | −0.467028 | − | 0.352419i | ||||
\(397\) | 6.96805i | 0.349717i | 0.984594 | + | 0.174858i | \(0.0559467\pi\) | ||||
−0.984594 | + | 0.174858i | \(0.944053\pi\) | |||||||
\(398\) | −9.04621 | + | 7.72765i | −0.453445 | + | 0.387352i | ||||
\(399\) | 0.00163135 | − | 0.00700854i | 8.16698e−5 | − | 0.000350866i | ||||
\(400\) | 4.15925 | + | 19.5318i | 0.207962 | + | 0.976588i | ||||
\(401\) | 11.9068 | − | 20.6233i | 0.594600 | − | 1.02988i | −0.399004 | − | 0.916949i | \(-0.630644\pi\) |
0.993603 | − | 0.112927i | \(-0.0360227\pi\) | |||||||
\(402\) | −12.3935 | − | 24.8782i | −0.618130 | − | 1.24081i | ||||
\(403\) | −10.0380 | + | 5.79546i | −0.500030 | + | 0.288692i | ||||
\(404\) | 9.70081 | + | 25.2574i | 0.482634 | + | 1.25660i | ||||
\(405\) | −0.650056 | + | 0.436855i | −0.0323015 | + | 0.0217075i | ||||
\(406\) | −8.49032 | − | 9.62137i | −0.421368 | − | 0.477500i | ||||
\(407\) | 0.387363 | − | 0.223644i | 0.0192009 | − | 0.0110856i | ||||
\(408\) | −12.8663 | − | 11.7932i | −0.636975 | − | 0.583851i | ||||
\(409\) | −19.4544 | − | 11.2320i | −0.961960 | − | 0.555388i | −0.0651845 | − | 0.997873i | \(-0.520764\pi\) |
−0.896776 | + | 0.442485i | \(0.854097\pi\) | |||||||
\(410\) | 0.682003 | + | 0.241438i | 0.0336817 | + | 0.0119238i | ||||
\(411\) | 19.8503 | − | 20.5380i | 0.979142 | − | 1.01307i | ||||
\(412\) | 29.4168 | + | 23.8122i | 1.44926 | + | 1.17314i | ||||
\(413\) | 26.2166 | − | 15.7035i | 1.29004 | − | 0.772720i | ||||
\(414\) | −12.8010 | + | 11.7121i | −0.629134 | + | 0.575616i | ||||
\(415\) | − | 1.09847i | − | 0.0539217i | ||||||
\(416\) | 21.4289 | + | 2.81097i | 1.05064 | + | 0.137819i | ||||
\(417\) | 16.3478 | + | 4.08337i | 0.800554 | + | 0.199964i | ||||
\(418\) | −0.00143807 | + | 0.00406219i | −7.03383e−5 | + | 0.000198688i | ||||
\(419\) | −6.66611 | + | 11.5460i | −0.325661 | + | 0.564061i | −0.981646 | − | 0.190713i | \(-0.938920\pi\) |
0.655985 | + | 0.754774i | \(0.272253\pi\) | |||||||
\(420\) | −0.490024 | − | 0.629293i | −0.0239107 | − | 0.0307064i | ||||
\(421\) | −11.6922 | − | 20.2516i | −0.569845 | − | 0.987001i | −0.996581 | − | 0.0826243i | \(-0.973670\pi\) |
0.426736 | − | 0.904376i | \(-0.359663\pi\) | |||||||
\(422\) | 19.4744 | − | 3.61126i | 0.948000 | − | 0.175793i | ||||
\(423\) | 7.68410 | + | 4.09412i | 0.373614 | + | 0.199063i | ||||
\(424\) | 10.4904 | + | 17.1080i | 0.509460 | + | 0.830839i | ||||
\(425\) | 15.4034 | − | 8.89315i | 0.747174 | − | 0.431381i | ||||
\(426\) | −20.4674 | + | 30.9005i | −0.991650 | + | 1.49714i | ||||
\(427\) | −16.2797 | + | 0.261781i | −0.787832 | + | 0.0126685i | ||||
\(428\) | −11.8005 | − | 1.86675i | −0.570398 | − | 0.0902327i | ||||
\(429\) | −3.53420 | − | 12.3451i | −0.170633 | − | 0.596027i | ||||
\(430\) | 0.838039 | − | 0.715889i | 0.0404138 | − | 0.0345232i | ||||
\(431\) | 6.30522i | 0.303712i | 0.988403 | + | 0.151856i | \(0.0485250\pi\) | ||||
−0.988403 | + | 0.151856i | \(0.951475\pi\) | |||||||
\(432\) | 10.3760 | + | 18.0094i | 0.499215 | + | 0.866478i | ||||
\(433\) | − | 26.7657i | − | 1.28628i | −0.765749 | − | 0.643139i | \(-0.777632\pi\) | ||
0.765749 | − | 0.643139i | \(-0.222368\pi\) | |||||||
\(434\) | 3.61566 | − | 10.7602i | 0.173557 | − | 0.516508i | ||||
\(435\) | 0.496953 | − | 0.142269i | 0.0238271 | − | 0.00682129i | ||||
\(436\) | 3.99336 | − | 25.2437i | 0.191247 | − | 1.20895i | ||||
\(437\) | 0.00556135 | + | 0.00321085i | 0.000266035 | + | 0.000153596i | ||||
\(438\) | −22.4944 | + | 33.9608i | −1.07483 | + | 1.62271i | ||||
\(439\) | 4.07359 | + | 7.05566i | 0.194422 | + | 0.336749i | 0.946711 | − | 0.322085i | \(-0.104384\pi\) |
−0.752289 | + | 0.658833i | \(0.771050\pi\) | |||||||
\(440\) | 0.249674 | + | 0.407174i | 0.0119027 | + | 0.0194112i | ||||
\(441\) | −18.8414 | − | 9.27373i | −0.897209 | − | 0.441606i | ||||
\(442\) | −3.50971 | − | 18.9268i | −0.166940 | − | 0.900256i | ||||
\(443\) | −3.25881 | + | 1.88148i | −0.154831 | + | 0.0893916i | −0.575414 | − | 0.817863i | \(-0.695159\pi\) |
0.420583 | + | 0.907254i | \(0.361826\pi\) | |||||||
\(444\) | −0.792561 | + | 0.0971215i | −0.0376133 | + | 0.00460918i | ||||
\(445\) | −0.394271 | + | 0.682898i | −0.0186903 | + | 0.0323725i | ||||
\(446\) | 6.44940 | + | 2.28317i | 0.305388 | + | 0.108111i | ||||
\(447\) | −12.0217 | − | 3.00281i | −0.568609 | − | 0.142028i | ||||
\(448\) | −17.5570 | + | 11.8216i | −0.829492 | + | 0.558519i | ||||
\(449\) | −9.04263 | −0.426748 | −0.213374 | − | 0.976971i | \(-0.568445\pi\) | ||||
−0.213374 | + | 0.976971i | \(0.568445\pi\) | |||||||
\(450\) | −20.6825 | + | 4.56870i | −0.974981 | + | 0.215371i | ||||
\(451\) | −11.4074 | −0.537151 | ||||||||
\(452\) | −17.7262 | − | 14.3489i | −0.833771 | − | 0.674916i | ||||
\(453\) | −18.7428 | − | 18.1152i | −0.880612 | − | 0.851124i | ||||
\(454\) | 9.29983 | + | 3.29226i | 0.436463 | + | 0.154514i | ||||
\(455\) | −0.0141432 | − | 0.879543i | −0.000663044 | − | 0.0412336i | ||||
\(456\) | 0.00519797 | − | 0.00567092i | 0.000243417 | − | 0.000265565i | ||||
\(457\) | −3.96610 | − | 6.86948i | −0.185526 | − | 0.321341i | 0.758227 | − | 0.651990i | \(-0.226066\pi\) |
−0.943754 | + | 0.330649i | \(0.892732\pi\) | |||||||
\(458\) | −35.8903 | + | 6.65535i | −1.67705 | + | 0.310984i | ||||
\(459\) | 12.4046 | − | 13.7413i | 0.578998 | − | 0.641389i | ||||
\(460\) | 0.664445 | − | 0.255199i | 0.0309799 | − | 0.0118987i | ||||
\(461\) | −28.3973 | + | 16.3952i | −1.32259 | + | 0.763600i | −0.984142 | − | 0.177383i | \(-0.943237\pi\) |
−0.338452 | + | 0.940984i | \(0.609903\pi\) | |||||||
\(462\) | 10.5947 | + | 6.77505i | 0.492911 | + | 0.315204i | ||||
\(463\) | 1.28928 | + | 0.744365i | 0.0599179 | + | 0.0345936i | 0.529660 | − | 0.848210i | \(-0.322320\pi\) |
−0.469742 | + | 0.882804i | \(0.655653\pi\) | |||||||
\(464\) | −2.85712 | − | 13.4170i | −0.132638 | − | 0.622868i | ||||
\(465\) | 0.328805 | + | 0.317795i | 0.0152480 | + | 0.0147374i | ||||
\(466\) | −2.78734 | + | 2.38106i | −0.129121 | + | 0.110301i | ||||
\(467\) | 2.31036 | 0.106911 | 0.0534554 | − | 0.998570i | \(-0.482977\pi\) | ||||
0.0534554 | + | 0.998570i | \(0.482977\pi\) | |||||||
\(468\) | −2.80884 | + | 22.7508i | −0.129838 | + | 1.05165i | ||||
\(469\) | 15.4267 | + | 25.7545i | 0.712340 | + | 1.18923i | ||||
\(470\) | −0.231993 | − | 0.271578i | −0.0107011 | − | 0.0125269i | ||||
\(471\) | 4.66983 | − | 18.6957i | 0.215175 | − | 0.861452i | ||||
\(472\) | 32.6585 | − | 0.864368i | 1.50323 | − | 0.0397858i | ||||
\(473\) | −8.68927 | + | 15.0503i | −0.399533 | + | 0.692012i | ||||
\(474\) | −12.1147 | − | 0.745020i | −0.556447 | − | 0.0342199i | ||||
\(475\) | 0.00391974 | + | 0.00678919i | 0.000179850 | + | 0.000311509i | ||||
\(476\) | 14.8416 | + | 11.6240i | 0.680265 | + | 0.532783i | ||||
\(477\) | −18.0608 | + | 11.2642i | −0.826947 | + | 0.515753i | ||||
\(478\) | −7.10686 | + | 1.31787i | −0.325060 | + | 0.0602778i | ||||
\(479\) | −12.7223 | − | 22.0356i | −0.581295 | − | 1.00683i | −0.995326 | − | 0.0965702i | \(-0.969213\pi\) |
0.414031 | − | 0.910263i | \(-0.364121\pi\) | |||||||
\(480\) | −0.126064 | − | 0.843278i | −0.00575401 | − | 0.0384902i | ||||
\(481\) | −0.762674 | − | 0.440330i | −0.0347750 | − | 0.0200773i | ||||
\(482\) | 3.47200 | − | 9.80754i | 0.158145 | − | 0.446721i | ||||
\(483\) | 12.8057 | − | 13.6830i | 0.582681 | − | 0.622597i | ||||
\(484\) | 11.2463 | + | 9.10358i | 0.511195 | + | 0.413799i | ||||
\(485\) | 1.06707 | 0.0484531 | ||||||||
\(486\) | −19.0178 | + | 11.1501i | −0.862663 | + | 0.505779i | ||||
\(487\) | − | 25.9203i | − | 1.17456i | −0.809384 | − | 0.587280i | \(-0.800199\pi\) | ||
0.809384 | − | 0.587280i | \(-0.199801\pi\) | |||||||
\(488\) | −15.2991 | − | 8.30115i | −0.692556 | − | 0.375775i | ||||
\(489\) | 8.86629 | − | 2.53827i | 0.400948 | − | 0.114785i | ||||
\(490\) | 0.580322 | + | 0.636696i | 0.0262163 | + | 0.0287630i | ||||
\(491\) | 13.2651 | + | 7.65861i | 0.598645 | + | 0.345628i | 0.768508 | − | 0.639840i | \(-0.220999\pi\) |
−0.169863 | + | 0.985468i | \(0.554333\pi\) | |||||||
\(492\) | 18.7434 | + | 7.96140i | 0.845017 | + | 0.358928i | ||||
\(493\) | −10.5811 | + | 6.10898i | −0.476547 | + | 0.275135i | ||||
\(494\) | 0.00834216 | − | 0.00154694i | 0.000375332 | − | 6.95999e-5i | ||||
\(495\) | −0.429850 | + | 0.268090i | −0.0193203 | + | 0.0120498i | ||||
\(496\) | 9.01520 | − | 8.12343i | 0.404794 | − | 0.364753i | ||||
\(497\) | 19.4570 | − | 34.9878i | 0.872764 | − | 1.56942i | ||||
\(498\) | 1.89786 | − | 30.8609i | 0.0850450 | − | 1.38291i | ||||
\(499\) | 6.53183 | + | 3.77115i | 0.292405 | + | 0.168820i | 0.639026 | − | 0.769185i | \(-0.279338\pi\) |
−0.346621 | + | 0.938005i | \(0.612671\pi\) | |||||||
\(500\) | 1.71778 | + | 0.271741i | 0.0768216 | + | 0.0121526i | ||||
\(501\) | −15.3472 | − | 3.83344i | −0.685661 | − | 0.171265i | ||||
\(502\) | 7.34543 | − | 6.27477i | 0.327842 | − | 0.280057i | ||||
\(503\) | 13.5508 | 0.604198 | 0.302099 | − | 0.953277i | \(-0.402313\pi\) | ||||
0.302099 | + | 0.953277i | \(0.402313\pi\) | |||||||
\(504\) | −12.6797 | − | 18.5263i | −0.564800 | − | 0.825228i | ||||
\(505\) | 1.17726 | 0.0523873 | ||||||||
\(506\) | −8.53315 | + | 7.28938i | −0.379345 | + | 0.324052i | ||||
\(507\) | −1.92216 | + | 1.98875i | −0.0853660 | + | 0.0883236i | ||||
\(508\) | −14.8946 | − | 2.35621i | −0.660840 | − | 0.104540i | ||||
\(509\) | −31.0586 | − | 17.9317i | −1.37665 | − | 0.794807i | −0.384892 | − | 0.922962i | \(-0.625761\pi\) |
−0.991754 | + | 0.128155i | \(0.959095\pi\) | |||||||
\(510\) | −0.679747 | + | 0.338627i | −0.0300997 | + | 0.0149946i | ||||
\(511\) | 21.3839 | − | 38.4528i | 0.945967 | − | 1.70105i | ||||
\(512\) | −22.5562 | + | 1.79432i | −0.996851 | + | 0.0792986i | ||||
\(513\) | 0.00605661 | + | 0.00546745i | 0.000267406 | + | 0.000241394i | ||||
\(514\) | −27.2199 | + | 5.04754i | −1.20062 | + | 0.222638i | ||||
\(515\) | 1.42614 | − | 0.823384i | 0.0628433 | − | 0.0362826i | ||||
\(516\) | 24.7812 | − | 18.6646i | 1.09093 | − | 0.821665i | ||||
\(517\) | 4.87724 | + | 2.81587i | 0.214501 | + | 0.123842i | ||||
\(518\) | 0.845373 | − | 0.170866i | 0.0371436 | − | 0.00750741i | ||||
\(519\) | 25.3539 | + | 24.5049i | 1.11291 | + | 1.07565i | ||||
\(520\) | 0.448485 | − | 0.826559i | 0.0196673 | − | 0.0362470i | ||||
\(521\) | 24.2360i | 1.06180i | 0.847436 | + | 0.530898i | \(0.178145\pi\) | ||||
−0.847436 | + | 0.530898i | \(0.821855\pi\) | |||||||
\(522\) | 14.2074 | − | 3.13839i | 0.621843 | − | 0.137363i | ||||
\(523\) | 7.57054 | 0.331037 | 0.165518 | − | 0.986207i | \(-0.447070\pi\) | ||||
0.165518 | + | 0.986207i | \(0.447070\pi\) | |||||||
\(524\) | −23.6043 | − | 19.1070i | −1.03116 | − | 0.834695i | ||||
\(525\) | 21.8905 | − | 6.64951i | 0.955381 | − | 0.290208i | ||||
\(526\) | −1.04517 | + | 2.95234i | −0.0455715 | + | 0.128728i | ||||
\(527\) | −9.36036 | − | 5.40421i | −0.407744 | − | 0.235411i | ||||
\(528\) | 6.31097 | + | 11.8707i | 0.274650 | + | 0.516607i | ||||
\(529\) | −3.13784 | − | 5.43491i | −0.136428 | − | 0.236300i | ||||
\(530\) | 0.858563 | − | 0.159208i | 0.0372936 | − | 0.00691556i | ||||
\(531\) | 1.17977 | + | 34.6317i | 0.0511975 | + | 1.50289i | ||||
\(532\) | −0.00512337 | + | 0.00654159i | −0.000222126 | + | 0.000283614i | ||||
\(533\) | 11.2299 | + | 19.4507i | 0.486420 | + | 0.842505i | ||||
\(534\) | −12.2567 | + | 18.5045i | −0.530400 | + | 0.800768i | ||||
\(535\) | −0.259921 | + | 0.450196i | −0.0112374 | + | 0.0194637i | ||||
\(536\) | 0.849132 | + | 32.0829i | 0.0366769 | + | 1.38577i | ||||
\(537\) | −22.8610 | + | 6.54474i | −0.986526 | + | 0.282426i | ||||
\(538\) | −20.8645 | − | 24.4246i | −0.899533 | − | 1.05302i | ||||
\(539\) | −11.9758 | − | 6.40995i | −0.515835 | − | 0.276096i | ||||
\(540\) | 0.893390 | − | 0.140498i | 0.0384454 | − | 0.00604607i | ||||
\(541\) | 7.30387 | 0.314018 | 0.157009 | − | 0.987597i | \(-0.449815\pi\) | ||||
0.157009 | + | 0.987597i | \(0.449815\pi\) | |||||||
\(542\) | 31.4332 | − | 26.8516i | 1.35017 | − | 1.15338i | ||||
\(543\) | −2.15146 | + | 0.615927i | −0.0923278 | + | 0.0264319i | ||||
\(544\) | 7.72109 | + | 18.6157i | 0.331039 | + | 0.798143i | ||||
\(545\) | −0.963063 | − | 0.556025i | −0.0412531 | − | 0.0238175i | ||||
\(546\) | 1.12227 | − | 24.7348i | 0.0480286 | − | 1.05855i | ||||
\(547\) | 1.89577 | − | 1.09452i | 0.0810571 | − | 0.0467983i | −0.458924 | − | 0.888476i | \(-0.651765\pi\) |
0.539981 | + | 0.841677i | \(0.318432\pi\) | |||||||
\(548\) | −30.7888 | + | 11.8253i | −1.31523 | + | 0.505154i | ||||
\(549\) | 8.68124 | − | 16.2935i | 0.370506 | − | 0.695389i | ||||
\(550\) | −13.4708 | + | 2.49798i | −0.574398 | + | 0.106514i | ||||
\(551\) | −0.00269259 | − | 0.00466370i | −0.000114708 | − | 0.000198681i | ||||
\(552\) | 19.1082 | − | 6.02172i | 0.813298 | − | 0.256301i | ||||
\(553\) | 13.1084 | − | 0.210786i | 0.557427 | − | 0.00896352i | ||||
\(554\) | 11.0333 | + | 3.90593i | 0.468759 | + | 0.165947i | ||||
\(555\) | −0.00841961 | + | 0.0337079i | −0.000357393 | + | 0.00143082i | ||||
\(556\) | −15.1230 | − | 12.2417i | −0.641359 | − | 0.519164i | ||||
\(557\) | 0.120599 | 0.00510995 | 0.00255497 | − | 0.999997i | \(-0.499187\pi\) | ||||
0.00255497 | + | 0.999997i | \(0.499187\pi\) | |||||||
\(558\) | 8.68855 | + | 9.49637i | 0.367816 | + | 0.402013i | ||||
\(559\) | 34.2164 | 1.44720 | ||||||||
\(560\) | 0.206275 | + | 0.897568i | 0.00871669 | + | 0.0379292i | ||||
\(561\) | 8.32160 | − | 8.60991i | 0.351338 | − | 0.363511i | ||||
\(562\) | −20.1343 | − | 7.12780i | −0.849314 | − | 0.300668i | ||||
\(563\) | 6.89903 | − | 11.9495i | 0.290759 | − | 0.503610i | −0.683230 | − | 0.730203i | \(-0.739425\pi\) |
0.973989 | + | 0.226593i | \(0.0727588\pi\) | |||||||
\(564\) | −6.04852 | − | 8.03067i | −0.254689 | − | 0.338152i | ||||
\(565\) | −0.859375 | + | 0.496160i | −0.0361542 | + | 0.0208736i | ||||
\(566\) | 1.89786 | + | 10.2346i | 0.0797730 | + | 0.430192i | ||||
\(567\) | 19.5475 | − | 13.5977i | 0.820916 | − | 0.571049i | ||||
\(568\) | 36.4851 | − | 22.3722i | 1.53088 | − | 0.938717i | ||||
\(569\) | −5.08023 | − | 8.79921i | −0.212974 | − | 0.368882i | 0.739670 | − | 0.672970i | \(-0.234982\pi\) |
−0.952644 | + | 0.304088i | \(0.901648\pi\) | |||||||
\(570\) | −0.000149253 | 0 | 0.000299605i | −6.25151e−6 | 0 | 1.25491e-5i | ||||
\(571\) | 13.0923 | + | 7.55883i | 0.547895 | + | 0.316327i | 0.748272 | − | 0.663392i | \(-0.230884\pi\) |
−0.200378 | + | 0.979719i | \(0.564217\pi\) | |||||||
\(572\) | −2.31680 | + | 14.6454i | −0.0968701 | + | 0.612356i | ||||
\(573\) | 7.46473 | + | 7.21476i | 0.311843 | + | 0.301401i | ||||
\(574\) | −20.8502 | − | 7.00608i | −0.870269 | − | 0.292428i | ||||
\(575\) | 20.4167i | 0.851436i | ||||||||
\(576\) | −2.08475 | − | 23.9093i | −0.0868647 | − | 0.996220i | ||||
\(577\) | − | 26.7948i | − | 1.11548i | −0.830016 | − | 0.557740i | \(-0.811669\pi\) | ||
0.830016 | − | 0.557740i | \(-0.188331\pi\) | |||||||
\(578\) | −4.63180 | + | 3.95668i | −0.192657 | + | 0.164576i | ||||
\(579\) | −22.8230 | − | 5.70076i | −0.948491 | − | 0.236915i | ||||
\(580\) | −0.589552 | − | 0.0932628i | −0.0244798 | − | 0.00387253i | ||||
\(581\) | 0.536954 | + | 33.3923i | 0.0222766 | + | 1.38534i | ||||
\(582\) | 29.9788 | + | 1.84361i | 1.24266 | + | 0.0764200i | ||||
\(583\) | −11.9235 | + | 6.88403i | −0.493821 | + | 0.285108i | ||||
\(584\) | 40.0984 | − | 24.5878i | 1.65928 | − | 1.01745i | ||||
\(585\) | 0.880284 | + | 0.469020i | 0.0363953 | + | 0.0193916i | ||||
\(586\) | 24.6690 | − | 4.57451i | 1.01907 | − | 0.188971i | ||||
\(587\) | −6.49971 | − | 11.2578i | −0.268272 | − | 0.464660i | 0.700144 | − | 0.714002i | \(-0.253119\pi\) |
−0.968416 | + | 0.249342i | \(0.919786\pi\) | |||||||
\(588\) | 15.2038 | + | 18.8903i | 0.626995 | + | 0.779023i | ||||
\(589\) | 0.00238196 | − | 0.00412567i | 9.81468e−5 | − | 0.000169995i | ||||
\(590\) | 0.474388 | − | 1.34003i | 0.0195303 | − | 0.0551681i | ||||
\(591\) | −5.74470 | − | 20.0665i | −0.236306 | − | 0.825425i | ||||
\(592\) | 0.876997 | + | 0.284591i | 0.0360443 | + | 0.0116966i | ||||
\(593\) | − | 37.6206i | − | 1.54489i | −0.635081 | − | 0.772446i | \(-0.719033\pi\) | ||
0.635081 | − | 0.772446i | \(-0.280967\pi\) | |||||||
\(594\) | −12.5396 | + | 6.78920i | −0.514507 | + | 0.278564i | ||||
\(595\) | 0.703690 | − | 0.421504i | 0.0288485 | − | 0.0172800i | ||||
\(596\) | 11.1211 | + | 9.00224i | 0.455538 | + | 0.368746i | ||||
\(597\) | 4.01044 | + | 14.0086i | 0.164137 | + | 0.573336i | ||||
\(598\) | 20.8295 | + | 7.37393i | 0.851783 | + | 0.301543i | ||||
\(599\) | −24.0839 | − | 13.9048i | −0.984040 | − | 0.568136i | −0.0805528 | − | 0.996750i | \(-0.525669\pi\) |
−0.903488 | + | 0.428614i | \(0.859002\pi\) | |||||||
\(600\) | 23.8773 | + | 5.29712i | 0.974786 | + | 0.216254i | ||||
\(601\) | 13.7188 | − | 7.92056i | 0.559602 | − | 0.323086i | −0.193384 | − | 0.981123i | \(-0.561946\pi\) |
0.752986 | + | 0.658037i | \(0.228613\pi\) | |||||||
\(602\) | −25.1256 | + | 22.1719i | −1.02404 | + | 0.903660i | ||||
\(603\) | −34.0212 | + | 1.15897i | −1.38545 | + | 0.0471969i | ||||
\(604\) | 10.7917 | + | 28.0976i | 0.439107 | + | 1.14327i | ||||
\(605\) | 0.545225 | − | 0.314786i | 0.0221666 | − | 0.0127979i | ||||
\(606\) | 33.0745 | + | 2.03399i | 1.34356 | + | 0.0826251i | ||||
\(607\) | 2.94759 | − | 5.10537i | 0.119639 | − | 0.207221i | −0.799986 | − | 0.600019i | \(-0.795160\pi\) |
0.919625 | + | 0.392798i | \(0.128493\pi\) | |||||||
\(608\) | −0.00820505 | + | 0.00340314i | −0.000332759 | + | 0.000138016i | ||||
\(609\) | −15.0373 | + | 4.56776i | −0.609342 | + | 0.185095i | ||||
\(610\) | −0.575858 | + | 0.491922i | −0.0233158 | + | 0.0199173i | ||||
\(611\) | − | 11.0883i | − | 0.448583i | ||||||
\(612\) | −19.6822 | + | 8.33913i | −0.795606 | + | 0.337089i | ||||
\(613\) | 32.1607 | 1.29896 | 0.649480 | − | 0.760379i | \(-0.274987\pi\) | ||||
0.649480 | + | 0.760379i | \(0.274987\pi\) | |||||||
\(614\) | −12.4508 | + | 10.6360i | −0.502474 | + | 0.429234i | ||||
\(615\) | 0.615792 | − | 0.637127i | 0.0248311 | − | 0.0256914i | ||||
\(616\) | −7.78885 | − | 12.2556i | −0.313822 | − | 0.493792i | ||||
\(617\) | 22.5725 | − | 39.0968i | 0.908736 | − | 1.57398i | 0.0929129 | − | 0.995674i | \(-0.470382\pi\) |
0.815823 | − | 0.578302i | \(-0.196284\pi\) | |||||||
\(618\) | 41.4893 | − | 20.6686i | 1.66895 | − | 0.831412i | ||||
\(619\) | −15.6805 | − | 27.1595i | −0.630253 | − | 1.09163i | −0.987500 | − | 0.157621i | \(-0.949618\pi\) |
0.357246 | − | 0.934010i | \(-0.383716\pi\) | |||||||
\(620\) | −0.189319 | − | 0.492916i | −0.00760322 | − | 0.0197960i | ||||
\(621\) | 6.54068 | + | 20.2182i | 0.262469 | + | 0.811329i | ||||
\(622\) | −6.92912 | − | 37.3667i | −0.277832 | − | 1.49827i | ||||
\(623\) | 11.6516 | − | 20.9521i | 0.466812 | − | 0.839428i | ||||
\(624\) | 14.0280 | − | 22.4469i | 0.561570 | − | 0.898595i | ||||
\(625\) | −12.4432 | + | 21.5523i | −0.497729 | + | 0.862092i | ||||
\(626\) | −1.91255 | + | 5.40248i | −0.0764408 | + | 0.215926i | ||||
\(627\) | 0.00379490 | + | 0.00366782i | 0.000151554 | + | 0.000146479i | ||||
\(628\) | −13.9999 | + | 17.2950i | −0.558656 | + | 0.690147i | ||||
\(629\) | − | 0.821207i | − | 0.0327437i | ||||||
\(630\) | −0.950326 | + | 0.226009i | −0.0378619 | + | 0.00900441i | ||||
\(631\) | 35.0020i | 1.39341i | 0.717360 | + | 0.696703i | \(0.245351\pi\) | ||||
−0.717360 | + | 0.696703i | \(0.754649\pi\) | |||||||
\(632\) | 12.3188 | + | 6.68407i | 0.490014 | + | 0.265878i | ||||
\(633\) | 5.87854 | − | 23.5347i | 0.233651 | − | 0.935422i | ||||
\(634\) | −1.43017 | − | 0.506301i | −0.0567995 | − | 0.0201078i | ||||
\(635\) | −0.328072 | + | 0.568238i | −0.0130192 | + | 0.0225498i | ||||
\(636\) | 24.3960 | − | 2.98951i | 0.967363 | − | 0.118542i | ||||
\(637\) | 0.859877 | + | 26.7303i | 0.0340696 | + | 1.05909i | ||||
\(638\) | 9.25354 | − | 1.71594i | 0.366351 | − | 0.0679346i | ||||
\(639\) | 24.0224 | + | 38.5170i | 0.950312 | + | 1.52371i | ||||
\(640\) | −0.279010 | + | 0.944193i | −0.0110288 | + | 0.0373225i | ||||
\(641\) | −18.6549 | − | 32.3112i | −0.736823 | − | 1.27622i | −0.953919 | − | 0.300065i | \(-0.902992\pi\) |
0.217095 | − | 0.976150i | \(-0.430342\pi\) | |||||||
\(642\) | −8.08017 | + | 12.1990i | −0.318899 | + | 0.481455i | ||||
\(643\) | −17.6289 | + | 30.5341i | −0.695216 | + | 1.20415i | 0.274892 | + | 0.961475i | \(0.411358\pi\) |
−0.970108 | + | 0.242674i | \(0.921975\pi\) | |||||||
\(644\) | −20.0737 | + | 8.08258i | −0.791014 | + | 0.318498i | ||||
\(645\) | −0.371527 | − | 1.29776i | −0.0146289 | − | 0.0510992i | ||||
\(646\) | 0.00513874 | + | 0.00601555i | 0.000202181 | + | 0.000236678i | ||||
\(647\) | 19.9790 | 0.785455 | 0.392727 | − | 0.919655i | \(-0.371532\pi\) | ||||
0.392727 | + | 0.919655i | \(0.371532\pi\) | |||||||
\(648\) | 25.3421 | − | 2.40369i | 0.995532 | − | 0.0944257i | ||||
\(649\) | 22.4137i | 0.879814i | ||||||||
\(650\) | 17.5206 | + | 20.5101i | 0.687213 | + | 0.804471i | ||||
\(651\) | −10.1507 | − | 9.49989i | −0.397836 | − | 0.372330i | ||||
\(652\) | −10.5184 | − | 1.66393i | −0.411932 | − | 0.0651646i | ||||
\(653\) | −5.59236 | + | 9.68626i | −0.218846 | + | 0.379052i | −0.954455 | − | 0.298353i | \(-0.903563\pi\) |
0.735609 | + | 0.677406i | \(0.236896\pi\) | |||||||
\(654\) | −26.0961 | − | 17.2852i | −1.02044 | − | 0.675903i | ||||
\(655\) | −1.14435 | + | 0.660688i | −0.0447133 | + | 0.0258152i | ||||
\(656\) | −15.7408 | − | 17.4688i | −0.614575 | − | 0.682041i | ||||
\(657\) | 26.4015 | + | 42.3316i | 1.03002 | + | 1.65151i | ||||
\(658\) | 7.18510 | + | 8.14227i | 0.280104 | + | 0.317419i | ||||
\(659\) | −27.2085 | + | 15.7088i | −1.05989 | + | 0.611929i | −0.925402 | − | 0.378986i | \(-0.876273\pi\) |
−0.134490 | + | 0.990915i | \(0.542939\pi\) | |||||||
\(660\) | 0.580628 | − | 0.0711509i | 0.0226009 | − | 0.00276954i | ||||
\(661\) | −21.5855 | − | 12.4624i | −0.839577 | − | 0.484730i | 0.0175436 | − | 0.999846i | \(-0.494415\pi\) |
−0.857120 | + | 0.515116i | \(0.827749\pi\) | |||||||
\(662\) | 8.23364 | − | 23.2580i | 0.320010 | − | 0.903948i | ||||
\(663\) | −22.8729 | − | 5.71323i | −0.888311 | − | 0.221884i | ||||
\(664\) | −17.0269 | + | 31.3807i | −0.660773 | + | 1.21781i | ||||
\(665\) | 0.000185782 | 0 | 0.000310158i | 7.20431e−6 | 0 | 1.20274e-5i | ||||
\(666\) | −0.294783 | + | 0.932460i | −0.0114226 | + | 0.0361321i | ||||
\(667\) | − | 14.0249i | − | 0.543046i | ||||||
\(668\) | 14.1974 | + | 11.4924i | 0.549313 | + | 0.444655i | ||||
\(669\) | 5.82327 | − | 6.02502i | 0.225141 | − | 0.232941i | ||||
\(670\) | 1.31641 | + | 0.466026i | 0.0508573 | + | 0.0180042i | ||||
\(671\) | 5.97082 | − | 10.3418i | 0.230501 | − | 0.399239i | ||||
\(672\) | 4.24443 | + | 25.5731i | 0.163732 | + | 0.986505i | ||||
\(673\) | 17.3140 | + | 29.9887i | 0.667405 | + | 1.15598i | 0.978627 | + | 0.205643i | \(0.0659284\pi\) |
−0.311222 | + | 0.950337i | \(0.600738\pi\) | |||||||
\(674\) | −2.54414 | − | 13.7198i | −0.0979967 | − | 0.528467i | ||||
\(675\) | −5.42601 | + | 25.3676i | −0.208847 | + | 0.976399i | ||||
\(676\) | 2.98137 | − | 1.14508i | 0.114668 | − | 0.0440416i | ||||
\(677\) | −8.13000 | + | 4.69386i | −0.312461 | + | 0.180400i | −0.648027 | − | 0.761617i | \(-0.724406\pi\) |
0.335566 | + | 0.942017i | \(0.391072\pi\) | |||||||
\(678\) | −25.0009 | + | 12.4546i | −0.960156 | + | 0.478316i | ||||
\(679\) | −32.4378 | + | 0.521605i | −1.24485 | + | 0.0200174i | ||||
\(680\) | 0.876600 | − | 0.0232008i | 0.0336161 | − | 0.000889711i | ||||
\(681\) | 8.39698 | − | 8.68790i | 0.321773 | − | 0.332921i | ||||
\(682\) | 5.40760 | + | 6.33028i | 0.207068 | + | 0.242399i | ||||
\(683\) | − | 36.4991i | − | 1.39660i | −0.715806 | − | 0.698300i | \(-0.753940\pi\) | ||
0.715806 | − | 0.698300i | \(-0.246060\pi\) | |||||||
\(684\) | −0.00367555 | − | 0.00867512i | −0.000140538 | − | 0.000331701i | ||||
\(685\) | 1.43508i | 0.0548317i | ||||||||
\(686\) | −17.9524 | − | 19.0712i | −0.685426 | − | 0.728142i | ||||
\(687\) | −10.8338 | + | 43.3733i | −0.413337 | + | 1.65479i | ||||
\(688\) | −35.0376 | + | 7.46117i | −1.33579 | + | 0.284455i | ||||
\(689\) | 23.4760 | + | 13.5539i | 0.894364 | + | 0.516361i | ||||
\(690\) | 0.0535081 | − | 0.870091i | 0.00203702 | − | 0.0331238i | ||||
\(691\) | 13.6934 | + | 23.7176i | 0.520921 | + | 0.902261i | 0.999704 | + | 0.0243280i | \(0.00774462\pi\) |
−0.478783 | + | 0.877933i | \(0.658922\pi\) | |||||||
\(692\) | −14.5982 | − | 38.0084i | −0.554942 | − | 1.44486i | ||||
\(693\) | 12.9359 | − | 8.35977i | 0.491395 | − | 0.317562i | ||||
\(694\) | −3.22737 | + | 0.598469i | −0.122509 | + | 0.0227176i | ||||
\(695\) | −0.733171 | + | 0.423297i | −0.0278108 | + | 0.0160566i | ||||
\(696\) | −16.4020 | − | 3.63876i | −0.621718 | − | 0.137927i | ||||
\(697\) | −10.4718 | + | 18.1376i | −0.396646 | + | 0.687011i | ||||
\(698\) | −2.38192 | + | 6.72834i | −0.0901570 | + | 0.254671i | ||||
\(699\) | 1.23571 | + | 4.31638i | 0.0467387 | + | 0.163260i | ||||
\(700\) | −26.1560 | − | 3.70766i | −0.988603 | − | 0.140136i | ||||
\(701\) | −45.2968 | −1.71084 | −0.855418 | − | 0.517939i | \(-0.826699\pi\) | ||||
−0.855418 | + | 0.517939i | \(0.826699\pi\) | |||||||
\(702\) | 23.9208 | + | 14.6978i | 0.902833 | + | 0.554732i | ||||
\(703\) | 0.000361955 | 0 | 1.36514e−5 | 0 | ||||||
\(704\) | −0.821159 | − | 15.5021i | −0.0309486 | − | 0.584258i | ||||
\(705\) | −0.420556 | + | 0.120398i | −0.0158391 | + | 0.00453446i | ||||
\(706\) | 9.54035 | − | 26.9491i | 0.359056 | − | 1.01424i | ||||
\(707\) | −35.7874 | + | 0.575468i | −1.34592 | + | 0.0216427i | ||||
\(708\) | 15.6429 | − | 36.8278i | 0.587897 | − | 1.38408i | ||||
\(709\) | 3.51774 | + | 6.09291i | 0.132112 | + | 0.228824i | 0.924490 | − | 0.381205i | \(-0.124491\pi\) |
−0.792379 | + | 0.610029i | \(0.791158\pi\) | |||||||
\(710\) | −0.339533 | − | 1.83100i | −0.0127424 | − | 0.0687161i | ||||
\(711\) | −6.99012 | + | 13.1195i | −0.262150 | + | 0.492019i | ||||
\(712\) | 21.8488 | − | 13.3974i | 0.818817 | − | 0.502088i | ||||
\(713\) | 10.7447 | − | 6.20344i | 0.402391 | − | 0.232321i | ||||
\(714\) | 20.4981 | − | 10.6262i | 0.767121 | − | 0.397674i | ||||
\(715\) | 0.558733 | + | 0.322584i | 0.0208954 | + | 0.0120640i | ||||
\(716\) | 27.1208 | + | 4.29032i | 1.01355 | + | 0.160337i | ||||
\(717\) | −2.14527 | + | 8.58861i | −0.0801167 | + | 0.320747i | ||||
\(718\) | −20.4829 | − | 23.9779i | −0.764417 | − | 0.894848i | ||||
\(719\) | 26.6362 | 0.993364 | 0.496682 | − | 0.867933i | \(-0.334551\pi\) | ||||
0.496682 | + | 0.867933i | \(0.334551\pi\) | |||||||
\(720\) | −1.00369 | − | 0.288323i | −0.0374052 | − | 0.0107452i | ||||
\(721\) | −42.9507 | + | 25.7271i | −1.59957 | + | 0.958128i | ||||
\(722\) | 20.4305 | − | 17.4526i | 0.760345 | − | 0.649519i | ||||
\(723\) | −9.16220 | − | 8.85539i | −0.340746 | − | 0.329336i | ||||
\(724\) | 2.55235 | + | 0.403763i | 0.0948573 | + | 0.0150057i | ||||
\(725\) | 8.56065 | − | 14.8275i | 0.317935 | − | 0.550679i | ||||
\(726\) | 15.8617 | − | 7.90175i | 0.588683 | − | 0.293262i | ||||
\(727\) | 2.70743 | + | 4.68941i | 0.100413 | + | 0.173921i | 0.911855 | − | 0.410513i | \(-0.134650\pi\) |
−0.811442 | + | 0.584433i | \(0.801317\pi\) | |||||||
\(728\) | −13.2294 | + | 25.3457i | −0.490315 | + | 0.939376i | ||||
\(729\) | 2.75349 | + | 26.8592i | 0.101981 | + | 0.994786i | ||||
\(730\) | −0.373158 | − | 2.01233i | −0.0138112 | − | 0.0744797i | ||||
\(731\) | 15.9532 | + | 27.6318i | 0.590051 | + | 1.02200i | ||||
\(732\) | −17.0283 | + | 12.8254i | −0.629386 | + | 0.474040i | ||||
\(733\) | 10.2787 | + | 5.93443i | 0.379654 | + | 0.219193i | 0.677668 | − | 0.735368i | \(-0.262991\pi\) |
−0.298014 | + | 0.954562i | \(0.596324\pi\) | |||||||
\(734\) | −5.45926 | − | 1.93265i | −0.201505 | − | 0.0713354i | ||||
\(735\) | 1.00449 | − | 0.322855i | 0.0370511 | − | 0.0119087i | ||||
\(736\) | −22.9374 | − | 3.00885i | −0.845484 | − | 0.110908i | ||||
\(737\) | −22.0186 | −0.811065 | ||||||||
\(738\) | 18.4011 | − | 16.8358i | 0.677356 | − | 0.619736i | ||||
\(739\) | − | 35.3536i | − | 1.30050i | −0.759718 | − | 0.650252i | \(-0.774663\pi\) | ||
0.759718 | − | 0.650252i | \(-0.225337\pi\) | |||||||
\(740\) | 0.0252415 | − | 0.0311826i | 0.000927895 | − | 0.00114629i | ||||
\(741\) | 0.00251816 | − | 0.0100815i | 9.25070e−5 | − | 0.000370352i | ||||
\(742\) | −26.0216 | + | 5.25944i | −0.955282 | + | 0.193080i | ||||
\(743\) | −13.2573 | − | 7.65413i | −0.486365 | − | 0.280803i | 0.236700 | − | 0.971583i | \(-0.423934\pi\) |
−0.723065 | + | 0.690780i | \(0.757267\pi\) | |||||||
\(744\) | −4.46719 | − | 14.1753i | −0.163775 | − | 0.519693i | ||||
\(745\) | 0.539156 | − | 0.311282i | 0.0197531 | − | 0.0114045i | ||||
\(746\) | 6.23549 | + | 33.6261i | 0.228298 | + | 1.23114i | ||||
\(747\) | −33.4204 | − | 17.8066i | −1.22279 | − | 0.651508i | ||||
\(748\) | −12.9072 | + | 4.95740i | −0.471936 | + | 0.181260i | ||||
\(749\) | 7.68126 | − | 13.8125i | 0.280667 | − | 0.504699i | ||||
\(750\) | 1.17622 | − | 1.77579i | 0.0429495 | − | 0.0648427i | ||||
\(751\) | 37.1811 | + | 21.4665i | 1.35676 | + | 0.783325i | 0.989186 | − | 0.146669i | \(-0.0468553\pi\) |
0.367574 | + | 0.929994i | \(0.380189\pi\) | |||||||
\(752\) | 2.41789 | + | 11.3544i | 0.0881714 | + | 0.414052i | ||||
\(753\) | −3.25644 | − | 11.3749i | −0.118671 | − | 0.414523i | ||||
\(754\) | −12.0354 | − | 14.0890i | −0.438305 | − | 0.513092i | ||||
\(755\) | 1.30964 | 0.0476628 | ||||||||
\(756\) | −27.0894 | + | 4.70770i | −0.985233 | + | 0.171217i | ||||
\(757\) | −30.0701 | −1.09292 | −0.546459 | − | 0.837486i | \(-0.684025\pi\) | ||||
−0.546459 | + | 0.837486i | \(0.684025\pi\) | |||||||
\(758\) | −4.45028 | − | 5.20962i | −0.161641 | − | 0.189222i | ||||
\(759\) | 3.78299 | + | 13.2141i | 0.137314 | + | 0.479643i | ||||
\(760\) | 1.02260e−5 | 0 | 0.000386370i | 3.70935e−7 | 0 | 1.40151e-5i | ||||
\(761\) | −0.115802 | − | 0.0668580i | −0.00419780 | − | 0.00242360i | 0.497900 | − | 0.867235i | \(-0.334105\pi\) |
−0.502097 | + | 0.864811i | \(0.667438\pi\) | |||||||
\(762\) | −10.1988 | + | 15.3975i | −0.369463 | + | 0.557794i | ||||
\(763\) | 29.5479 | + | 16.4318i | 1.06971 | + | 0.594871i | ||||
\(764\) | −4.29803 | − | 11.1905i | −0.155497 | − | 0.404857i | ||||
\(765\) | 0.0316665 | + | 0.929561i | 0.00114491 | + | 0.0336083i | ||||
\(766\) | −0.310436 | − | 1.67409i | −0.0112165 | − | 0.0604872i | ||||
\(767\) | 38.2177 | − | 22.0650i | 1.37996 | − | 0.796720i | ||||
\(768\) | −9.46996 | + | 26.0446i | −0.341718 | + | 0.939803i | ||||
\(769\) | −29.4369 | − | 16.9954i | −1.06152 | − | 0.612869i | −0.135668 | − | 0.990754i | \(-0.543318\pi\) |
−0.925852 | + | 0.377886i | \(0.876651\pi\) | |||||||
\(770\) | −0.619317 | + | 0.125176i | −0.0223187 | + | 0.00451102i | ||||
\(771\) | −8.21659 | + | 32.8951i | −0.295913 | + | 1.18469i | ||||
\(772\) | 21.1131 | + | 17.0905i | 0.759877 | + | 0.615101i | ||||
\(773\) | 35.3881i | 1.27282i | 0.771351 | + | 0.636410i | \(0.219582\pi\) | ||||
−0.771351 | + | 0.636410i | \(0.780418\pi\) | |||||||
\(774\) | −8.19569 | − | 37.1018i | −0.294588 | − | 1.33360i | ||||
\(775\) | 15.1461 | 0.544063 | ||||||||
\(776\) | −30.4837 | − | 16.5402i | −1.09430 | − | 0.593759i | ||||
\(777\) | 0.239470 | − | 1.02880i | 0.00859094 | − | 0.0369080i | ||||
\(778\) | −27.4756 | − | 9.72671i | −0.985047 | − | 0.348720i | ||||
\(779\) | −0.00799432 | − | 0.00461552i | −0.000286426 | − | 0.000165368i | ||||
\(780\) | −0.692915 | − | 0.919987i | −0.0248103 | − | 0.0329408i | ||||
\(781\) | 14.6811 | + | 25.4284i | 0.525331 | + | 0.909901i | ||||
\(782\) | 3.75678 | + | 20.2592i | 0.134342 | + | 0.724466i | ||||
\(783\) | 3.72730 | − | 17.4258i | 0.133203 | − | 0.622747i | ||||
\(784\) | −6.70928 | − | 27.1843i | −0.239617 | − | 0.970867i | ||||
\(785\) | 0.484092 | + | 0.838471i | 0.0172780 | + | 0.0299263i | ||||
\(786\) | −33.2913 | + | 16.5846i | −1.18746 | + | 0.591552i | ||||
\(787\) | −1.02046 | + | 1.76749i | −0.0363755 | + | 0.0630043i | −0.883640 | − | 0.468167i | \(-0.844915\pi\) |
0.847264 | + | 0.531171i | \(0.178248\pi\) | |||||||
\(788\) | −3.76587 | + | 23.8056i | −0.134153 | + | 0.848039i | ||||
\(789\) | 2.75808 | + | 2.66572i | 0.0981902 | + | 0.0949022i | ||||
\(790\) | 0.463679 | − | 0.396095i | 0.0164970 | − | 0.0140924i | ||||
\(791\) | 25.8815 | − | 15.5028i | 0.920242 | − | 0.551217i | ||||
\(792\) | 16.4354 | − | 0.995780i | 0.584006 | − | 0.0353835i | ||||
\(793\) | −23.5117 | −0.834926 | ||||||||
\(794\) | −6.40057 | − | 7.49268i | −0.227148 | − | 0.265905i | ||||
\(795\) | 0.259165 | − | 1.03757i | 0.00919165 | − | 0.0367988i | ||||
\(796\) | 2.62899 | − | 16.6189i | 0.0931822 | − | 0.589043i | ||||
\(797\) | 19.3409 | + | 11.1665i | 0.685089 | + | 0.395536i | 0.801770 | − | 0.597633i | \(-0.203892\pi\) |
−0.116681 | + | 0.993169i | \(0.537225\pi\) | |||||||
\(798\) | 0.00468358 | + | 0.00903471i | 0.000165797 | + | 0.000319825i | ||||
\(799\) | 8.95444 | − | 5.16985i | 0.316785 | − | 0.182896i | ||||
\(800\) | −22.4135 | − | 17.1818i | −0.792436 | − | 0.607469i | ||||
\(801\) | 14.3856 | + | 23.0656i | 0.508290 | + | 0.814981i | ||||
\(802\) | 6.14036 | + | 33.1131i | 0.216824 | + | 1.16927i | ||||
\(803\) | 16.1351 | + | 27.9467i | 0.569394 | + | 0.986219i | ||||
\(804\) | 36.1787 | + | 15.3672i | 1.27592 | + | 0.541959i | ||||
\(805\) | 0.0151388 | + | 0.941459i | 0.000533574 | + | 0.0331821i | ||||
\(806\) | 5.47033 | − | 15.4523i | 0.192684 | − | 0.544285i | ||||
\(807\) | −37.8231 | + | 10.8281i | −1.33143 | + | 0.381168i | ||||
\(808\) | −33.6316 | − | 18.2482i | −1.18315 | − | 0.641970i | ||||
\(809\) | 23.9415 | 0.841738 | 0.420869 | − | 0.907121i | \(-0.361725\pi\) | ||||
0.420869 | + | 0.907121i | \(0.361725\pi\) | |||||||
\(810\) | 0.297721 | − | 1.06686i | 0.0104609 | − | 0.0374857i | ||||
\(811\) | −47.1365 | −1.65519 | −0.827594 | − | 0.561328i | \(-0.810291\pi\) | ||||
−0.827594 | + | 0.561328i | \(0.810291\pi\) | |||||||
\(812\) | 17.9674 | + | 2.54691i | 0.630530 | + | 0.0893788i | ||||
\(813\) | −13.9353 | − | 48.6764i | −0.488731 | − | 1.70716i | ||||
\(814\) | −0.211098 | + | 0.596299i | −0.00739897 | + | 0.0209003i | ||||
\(815\) | −0.231681 | + | 0.401284i | −0.00811545 | + | 0.0140564i | ||||
\(816\) | 24.6677 | + | 0.862713i | 0.863543 | + | 0.0302010i | ||||
\(817\) | −0.0121790 | + | 0.00703152i | −0.000426088 | + | 0.000246002i | ||||
\(818\) | 31.2365 | − | 5.79236i | 1.09216 | − | 0.202525i | ||||
\(819\) | −26.9890 | − | 13.8274i | −0.943071 | − | 0.483169i | ||||
\(820\) | −0.955126 | + | 0.366844i | −0.0333544 | + | 0.0128107i | ||||
\(821\) | 24.5881 | + | 42.5878i | 0.858130 | + | 1.48632i | 0.873711 | + | 0.486446i | \(0.161707\pi\) |
−0.0155813 | + | 0.999879i | \(0.504960\pi\) | |||||||
\(822\) | −2.47944 | + | 40.3180i | −0.0864804 | + | 1.40625i | ||||
\(823\) | 39.1098 | + | 22.5800i | 1.36328 | + | 0.787091i | 0.990059 | − | 0.140651i | \(-0.0449195\pi\) |
0.373222 | + | 0.927742i | \(0.378253\pi\) | |||||||
\(824\) | −53.5045 | + | 1.41610i | −1.86392 | + | 0.0493320i | ||||
\(825\) | −4.06630 | + | 16.2794i | −0.141570 | + | 0.566777i | ||||
\(826\) | −13.7659 | + | 40.9674i | −0.478976 | + | 1.42544i | ||||
\(827\) | − | 15.7743i | − | 0.548526i | −0.961655 | − | 0.274263i | \(-0.911566\pi\) | ||
0.961655 | − | 0.274263i | \(-0.0884339\pi\) | |||||||
\(828\) | 3.00657 | − | 24.3523i | 0.104485 | − | 0.846302i | ||||
\(829\) | 24.0257i | 0.834447i | 0.908804 | + | 0.417223i | \(0.136997\pi\) | ||||
−0.908804 | + | 0.417223i | \(0.863003\pi\) | |||||||
\(830\) | 1.00901 | + | 1.18117i | 0.0350232 | + | 0.0409991i | ||||
\(831\) | 9.96214 | − | 10.3073i | 0.345583 | − | 0.357556i | ||||
\(832\) | −25.6243 | + | 16.6611i | −0.888364 | + | 0.577620i | ||||
\(833\) | −21.1854 | + | 13.1573i | −0.734030 | + | 0.455872i | ||||
\(834\) | −21.3294 | + | 10.6256i | −0.738578 | + | 0.367934i | ||||
\(835\) | 0.688296 | − | 0.397388i | 0.0238195 | − | 0.0137522i | ||||
\(836\) | −0.00218502 | − | 0.00568899i | −7.55705e−5 | − | 0.000196758i | ||||
\(837\) | 14.9988 | − | 4.85218i | 0.518435 | − | 0.167716i | ||||
\(838\) | −3.43771 | − | 18.5386i | −0.118754 | − | 0.640404i | ||||
\(839\) | −19.2798 | − | 33.3935i | −0.665611 | − | 1.15287i | −0.979119 | − | 0.203287i | \(-0.934838\pi\) |
0.313508 | − | 0.949586i | \(-0.398496\pi\) | |||||||
\(840\) | 1.10496 | + | 0.226557i | 0.0381248 | + | 0.00781697i | ||||
\(841\) | 8.61942 | − | 14.9293i | 0.297221 | − | 0.514803i | ||||
\(842\) | 31.1748 | + | 11.0363i | 1.07435 | + | 0.380336i | ||||
\(843\) | −18.1796 | + | 18.8094i | −0.626138 | + | 0.647832i | ||||
\(844\) | −17.6235 | + | 21.7715i | −0.606626 | + | 0.749408i | ||||
\(845\) | − | 0.138963i | − | 0.00478048i | ||||||
\(846\) | −12.0233 | + | 2.65592i | −0.413371 | + | 0.0913125i | ||||
\(847\) | −16.4204 | + | 9.83567i | −0.564211 | + | 0.337958i | ||||
\(848\) | −26.9950 | − | 8.76003i | −0.927011 | − | 0.300821i | ||||
\(849\) | 12.3685 | + | 3.08941i | 0.424484 | + | 0.106028i | ||||
\(850\) | −8.39423 | + | 23.7116i | −0.287920 | + | 0.813302i | ||||
\(851\) | 0.816363 | + | 0.471328i | 0.0279846 | + | 0.0161569i | ||||
\(852\) | −6.37553 | − | 52.0276i | −0.218422 | − | 1.78244i | ||||
\(853\) | 16.7546 | − | 9.67325i | 0.573665 | − | 0.331206i | −0.184947 | − | 0.982749i | \(-0.559211\pi\) |
0.758612 | + | 0.651543i | \(0.225878\pi\) | |||||||
\(854\) | 17.2650 | − | 15.2354i | 0.590796 | − | 0.521345i | ||||
\(855\) | −0.000409713 | 0 | 1.39573e-5i | −1.40119e−5 | 0 | 4.77330e-7i | ||||
\(856\) | 14.4037 | − | 8.83214i | 0.492307 | − | 0.301876i | ||||
\(857\) | −2.04423 | + | 1.18024i | −0.0698296 | + | 0.0403161i | −0.534508 | − | 0.845163i | \(-0.679503\pi\) |
0.464679 | + | 0.885479i | \(0.346170\pi\) | |||||||
\(858\) | 15.1400 | + | 10.0282i | 0.516870 | + | 0.342357i | ||||
\(859\) | 8.10933 | − | 14.0458i | 0.276687 | − | 0.479235i | −0.693873 | − | 0.720098i | \(-0.744097\pi\) |
0.970559 | + | 0.240862i | \(0.0774302\pi\) | |||||||
\(860\) | −0.243550 | + | 1.53958i | −0.00830498 | + | 0.0524991i | ||||
\(861\) | −18.4080 | + | 19.6690i | −0.627342 | + | 0.670317i | ||||
\(862\) | −5.79172 | − | 6.77994i | −0.197267 | − | 0.230926i | ||||
\(863\) | − | 36.2730i | − | 1.23475i | −0.786671 | − | 0.617373i | \(-0.788197\pi\) | ||
0.786671 | − | 0.617373i | \(-0.211803\pi\) | |||||||
\(864\) | −27.6999 | − | 9.83439i | −0.942370 | − | 0.334573i | ||||
\(865\) | −1.77159 | −0.0602360 | ||||||||
\(866\) | 24.5859 | + | 28.7809i | 0.835463 | + | 0.978016i | ||||
\(867\) | 2.05341 | + | 7.17264i | 0.0697374 | + | 0.243596i | ||||
\(868\) | 5.99604 | + | 14.8916i | 0.203519 | + | 0.505454i | ||||
\(869\) | −4.80769 | + | 8.32717i | −0.163090 | + | 0.282480i | ||||
\(870\) | −0.403686 | + | 0.609461i | −0.0136862 | + | 0.0206627i | ||||
\(871\) | 21.6760 | + | 37.5440i | 0.734465 | + | 1.27213i | ||||
\(872\) | 18.8938 | + | 30.8124i | 0.639824 | + | 1.04344i | ||||
\(873\) | 17.2976 | − | 32.4651i | 0.585434 | − | 1.09878i | ||||
\(874\) | −0.00892942 | + | 0.00165583i | −0.000302042 | + | 5.60094e-5i | ||||
\(875\) | −1.11815 | + | 2.01068i | −0.0378004 | + | 0.0679733i | ||||
\(876\) | −7.00693 | − | 57.1802i | −0.236742 | − | 1.93194i | ||||
\(877\) | −10.9980 | + | 19.0490i | −0.371375 | + | 0.643240i | −0.989777 | − | 0.142621i | \(-0.954447\pi\) |
0.618402 | + | 0.785862i | \(0.287780\pi\) | |||||||
\(878\) | −10.8613 | − | 3.84506i | −0.366552 | − | 0.129764i | ||||
\(879\) | 7.44657 | − | 29.8123i | 0.251167 | − | 1.00555i | ||||
\(880\) | −0.642485 | − | 0.208490i | −0.0216582 | − | 0.00702820i | ||||
\(881\) | 17.8109i | 0.600063i | 0.953929 | + | 0.300031i | \(0.0969972\pi\) | ||||
−0.953929 | + | 0.300031i | \(0.903003\pi\) | |||||||
\(882\) | 28.7784 | − | 7.33497i | 0.969020 | − | 0.246981i | ||||
\(883\) | 55.9070i | 1.88142i | 0.339211 | + | 0.940710i | \(0.389840\pi\) | ||||
−0.339211 | + | 0.940710i | \(0.610160\pi\) | |||||||
\(884\) | 21.1593 | + | 17.1279i | 0.711665 | + | 0.576075i | ||||
\(885\) | −1.25185 | − | 1.20994i | −0.0420806 | − | 0.0406715i | ||||
\(886\) | 1.77592 | − | 5.01654i | 0.0596633 | − | 0.168534i | ||||
\(887\) | −9.91067 | + | 17.1658i | −0.332768 | + | 0.576371i | −0.983053 | − | 0.183319i | \(-0.941316\pi\) |
0.650286 | + | 0.759690i | \(0.274649\pi\) | |||||||
\(888\) | 0.763022 | − | 0.832448i | 0.0256053 | − | 0.0279351i | ||||
\(889\) | 9.69529 | − | 17.4342i | 0.325169 | − | 0.584724i | ||||
\(890\) | −0.203326 | − | 1.09648i | −0.00681550 | − | 0.0367539i | ||||
\(891\) | 1.18850 | + | 17.4238i | 0.0398164 | + | 0.583720i | ||||
\(892\) | −9.03220 | + | 3.46908i | −0.302420 | + | 0.116153i | ||||
\(893\) | 0.00227866 | + | 0.00394675i | 7.62524e−5 | + | 0.000132073i | ||||
\(894\) | 15.6851 | − | 7.81379i | 0.524589 | − | 0.261332i | ||||
\(895\) | 0.597372 | − | 1.03468i | 0.0199679 | − | 0.0345855i | ||||
\(896\) | 8.02007 | − | 28.8388i | 0.267932 | − | 0.963438i | ||||
\(897\) | 18.8073 | − | 19.4589i | 0.627959 | − | 0.649715i | ||||
\(898\) | 9.72345 | − | 8.30619i | 0.324476 | − | 0.277181i | ||||
\(899\) | −10.4043 | −0.347003 | ||||||||
\(900\) | 18.0430 | − | 23.9108i | 0.601435 | − | 0.797025i | ||||
\(901\) | 25.2777i | 0.842123i | ||||||||
\(902\) | 12.2662 | − | 10.4783i | 0.408420 | − | 0.348890i | ||||
\(903\) | 11.9284 | + | 39.2689i | 0.396952 | + | 1.30679i | ||||
\(904\) | 32.2411 | − | 0.853321i | 1.07232 | − | 0.0283810i | ||||
\(905\) | 0.0562188 | − | 0.0973739i | 0.00186878 | − | 0.00323682i | ||||
\(906\) | 36.7938 | + | 2.26271i | 1.22239 | + | 0.0751735i | ||||
\(907\) | 24.1992 | − | 13.9714i | 0.803522 | − | 0.463914i | −0.0411792 | − | 0.999152i | \(-0.513111\pi\) |
0.844701 | + | 0.535238i | \(0.179778\pi\) | |||||||
\(908\) | −13.0242 | + | 5.00230i | −0.432222 | + | 0.166007i | ||||
\(909\) | 19.0838 | − | 35.8176i | 0.632969 | − | 1.18799i | ||||
\(910\) | 0.823120 | + | 0.932773i | 0.0272862 | + | 0.0309211i | ||||
\(911\) | −2.33738 | + | 1.34949i | −0.0774408 | + | 0.0447105i | −0.538220 | − | 0.842804i | \(-0.680903\pi\) |
0.460780 | + | 0.887515i | \(0.347570\pi\) | |||||||
\(912\) | −0.000380249 | 0.0108725i | −1.25913e−5 | 0.000360025i | ||||||
\(913\) | −21.2125 | − | 12.2471i | −0.702033 | − | 0.405319i | ||||
\(914\) | 10.5747 | + | 3.74360i | 0.349781 | + | 0.123827i | ||||
\(915\) | 0.255294 | + | 0.891753i | 0.00843977 | + | 0.0294805i | ||||
\(916\) | 32.4792 | − | 40.1238i | 1.07314 | − | 1.32573i | ||||
\(917\) | 34.4639 | − | 20.6436i | 1.13810 | − | 0.681711i | ||||
\(918\) | −0.716376 | + | 26.1703i | −0.0236439 | + | 0.863747i | ||||
\(919\) | − | 42.6049i | − | 1.40541i | −0.711483 | − | 0.702703i | \(-0.751976\pi\) | ||
0.711483 | − | 0.702703i | \(-0.248024\pi\) | |||||||
\(920\) | −0.480056 | + | 0.884745i | −0.0158270 | + | 0.0291692i | ||||
\(921\) | 5.51980 | + | 19.2809i | 0.181884 | + | 0.635327i | ||||
\(922\) | 15.4754 | − | 43.7142i | 0.509655 | − | 1.43965i | ||||
\(923\) | 28.9054 | − | 50.0657i | 0.951434 | − | 1.64793i | ||||
\(924\) | −17.6157 | + | 2.44673i | −0.579514 | + | 0.0804916i | ||||
\(925\) | 0.575388 | + | 0.996601i | 0.0189186 | + | 0.0327680i | ||||
\(926\) | −2.07009 | + | 0.383869i | −0.0680275 | + | 0.0126147i | ||||
\(927\) | −1.93281 | − | 56.7371i | −0.0634819 | − | 1.86349i | ||||
\(928\) | 15.3965 | + | 11.8027i | 0.505416 | + | 0.387443i | ||||
\(929\) | 7.43599 | − | 4.29317i | 0.243967 | − | 0.140854i | −0.373032 | − | 0.927819i | \(-0.621682\pi\) |
0.616999 | + | 0.786964i | \(0.288348\pi\) | |||||||
\(930\) | −0.645474 | − | 0.0396948i | −0.0211659 | − | 0.00130164i | ||||
\(931\) | −0.00579918 | − | 0.00933765i | −0.000190060 | − | 0.000306029i | ||||
\(932\) | 0.810052 | − | 5.12067i | 0.0265341 | − | 0.167733i | ||||
\(933\) | −45.1574 | − | 11.2795i | −1.47839 | − | 0.369274i | ||||
\(934\) | −2.48431 | + | 2.12220i | −0.0812891 | + | 0.0694406i | ||||
\(935\) | 0.601614i | 0.0196749i | ||||||||
\(936\) | −17.8776 | − | 27.0438i | −0.584348 | − | 0.883953i | ||||
\(937\) | 11.9278i | 0.389666i | 0.980836 | + | 0.194833i | \(0.0624165\pi\) | ||||
−0.980836 | + | 0.194833i | \(0.937584\pi\) | |||||||
\(938\) | −40.2452 | − | 13.5232i | −1.31405 | − | 0.441549i | ||||
\(939\) | 5.04699 | + | 4.87799i | 0.164702 | + | 0.159187i | ||||
\(940\) | 0.498920 | + | 0.0789255i | 0.0162730 | + | 0.00257427i | ||||
\(941\) | −22.1293 | − | 12.7763i | −0.721394 | − | 0.416497i | 0.0938716 | − | 0.995584i | \(-0.470076\pi\) |
−0.815266 | + | 0.579087i | \(0.803409\pi\) | |||||||
\(942\) | 12.1517 | + | 24.3928i | 0.395922 | + | 0.794761i | ||||
\(943\) | −12.0204 | − | 20.8200i | −0.391439 | − | 0.677992i | ||||
\(944\) | −34.3234 | + | 30.9282i | −1.11713 | + | 1.00663i | ||||
\(945\) | −0.231395 | + | 1.17378i | −0.00752729 | + | 0.0381830i | ||||
\(946\) | −4.48106 | − | 24.1650i | −0.145692 | − | 0.785672i | ||||
\(947\) | −23.7577 | + | 13.7165i | −0.772022 | + | 0.445727i | −0.833595 | − | 0.552375i | \(-0.813722\pi\) |
0.0615733 | + | 0.998103i | \(0.480388\pi\) | |||||||
\(948\) | 13.7112 | − | 10.3270i | 0.445319 | − | 0.335404i | ||||
\(949\) | 31.7681 | − | 55.0239i | 1.03124 | − | 1.78615i | ||||
\(950\) | −0.0104511 | − | 0.00369984i | −0.000339079 | − | 0.000120039i | ||||
\(951\) | −1.29133 | + | 1.33607i | −0.0418742 | + | 0.0433250i | ||||
\(952\) | −26.6364 | + | 1.13378i | −0.863289 | + | 0.0367460i | ||||
\(953\) | 24.0958 | 0.780539 | 0.390269 | − | 0.920701i | \(-0.372382\pi\) | ||||
0.390269 | + | 0.920701i | \(0.372382\pi\) | |||||||
\(954\) | 9.07376 | − | 28.7022i | 0.293774 | − | 0.929268i | ||||
\(955\) | −0.521594 | −0.0168784 | ||||||||
\(956\) | 6.43140 | − | 7.94516i | 0.208006 | − | 0.256965i | ||||
\(957\) | 2.79327 | − | 11.1829i | 0.0902936 | − | 0.361490i | ||||
\(958\) | 33.9211 | + | 12.0085i | 1.09594 | + | 0.387978i | ||||
\(959\) | −0.701498 | − | 43.6250i | −0.0226526 | − | 1.40873i | ||||
\(960\) | 0.910156 | + | 0.790971i | 0.0293752 | + | 0.0255285i | ||||
\(961\) | 10.8980 | + | 18.8759i | 0.351548 | + | 0.608900i | ||||
\(962\) | 1.22457 | − | 0.227078i | 0.0394816 | − | 0.00732130i | ||||
\(963\) | 9.48362 | + | 15.2058i | 0.305605 | + | 0.490001i | ||||
\(964\) | 5.27539 | + | 13.7352i | 0.169909 | + | 0.442381i | ||||
\(965\) | 1.02357 | − | 0.590960i | 0.0329500 | − | 0.0190237i | ||||
\(966\) | −1.20127 | + | 26.4760i | −0.0386502 | + | 0.851851i | ||||
\(967\) | −18.9596 | − | 10.9463i | −0.609699 | − | 0.352010i | 0.163149 | − | 0.986601i | \(-0.447835\pi\) |
−0.772848 | + | 0.634592i | \(0.781168\pi\) | |||||||
\(968\) | −20.4552 | + | 0.541384i | −0.657455 | + | 0.0174008i | ||||
\(969\) | 0.00931547 | − | 0.00266686i | 0.000299256 | − | 8.56720e-5i | ||||
\(970\) | −1.14741 | + | 0.980166i | −0.0368411 | + | 0.0314712i | ||||
\(971\) | −37.7214 | −1.21054 | −0.605269 | − | 0.796021i | \(-0.706935\pi\) | ||||
−0.605269 | + | 0.796021i | \(0.706935\pi\) | |||||||
\(972\) | 10.2076 | − | 29.4585i | 0.327408 | − | 0.944883i | ||||
\(973\) | 22.0807 | − | 13.2262i | 0.707875 | − | 0.424011i | ||||
\(974\) | 23.8093 | + | 27.8718i | 0.762899 | + | 0.893070i | ||||
\(975\) | 31.7612 | − | 9.09270i | 1.01717 | − | 0.291200i | ||||
\(976\) | 24.0760 | − | 5.12693i | 0.770655 | − | 0.164109i | ||||
\(977\) | 6.94206 | − | 12.0240i | 0.222096 | − | 0.384682i | −0.733348 | − | 0.679853i | \(-0.762043\pi\) |
0.955444 | + | 0.295171i | \(0.0953768\pi\) | |||||||
\(978\) | −7.20229 | + | 10.8736i | −0.230304 | + | 0.347699i | ||||
\(979\) | 8.79164 | + | 15.2276i | 0.280982 | + | 0.486675i | ||||
\(980\) | −1.20886 | − | 0.151574i | −0.0386155 | − | 0.00484184i | ||||
\(981\) | −32.5284 | + | 20.2874i | −1.03855 | + | 0.647727i | ||||
\(982\) | −21.2987 | + | 3.94954i | −0.679669 | + | 0.126035i | ||||
\(983\) | 6.56820 | + | 11.3765i | 0.209493 | + | 0.362853i | 0.951555 | − | 0.307479i | \(-0.0994853\pi\) |
−0.742062 | + | 0.670331i | \(0.766152\pi\) | |||||||
\(984\) | −27.4676 | + | 8.65609i | −0.875635 | + | 0.275946i | ||||
\(985\) | 0.908199 | + | 0.524349i | 0.0289376 | + | 0.0167072i | ||||
\(986\) | 5.76626 | − | 16.2883i | 0.183635 | − | 0.518724i | ||||
\(987\) | 12.7256 | − | 3.86555i | 0.405060 | − | 0.123042i | ||||
\(988\) | −0.00754930 | + | 0.00932617i | −0.000240175 | + | 0.000296705i | ||||
\(989\) | −36.6250 | −1.16461 | ||||||||
\(990\) | 0.215957 | − | 0.683117i | 0.00686357 | − | 0.0217109i | ||||
\(991\) | 10.7025i | 0.339977i | 0.985446 | + | 0.169989i | \(0.0543731\pi\) | ||||
−0.985446 | + | 0.169989i | \(0.945627\pi\) | |||||||
\(992\) | −2.23211 | + | 17.0160i | −0.0708694 | + | 0.540260i | ||||
\(993\) | −21.7276 | − | 21.0000i | −0.689505 | − | 0.666416i | ||||
\(994\) | 11.2165 | + | 55.4944i | 0.355764 | + | 1.76018i | ||||
\(995\) | −0.634024 | − | 0.366054i | −0.0200999 | − | 0.0116047i | ||||
\(996\) | 26.3068 | + | 34.9278i | 0.833564 | + | 1.10673i | ||||
\(997\) | 40.2843 | − | 23.2582i | 1.27582 | − | 0.736594i | 0.299741 | − | 0.954021i | \(-0.403100\pi\) |
0.976077 | + | 0.217427i | \(0.0697664\pi\) | |||||||
\(998\) | −10.4876 | + | 1.94478i | −0.331981 | + | 0.0615611i | ||||
\(999\) | 0.889064 | + | 0.802580i | 0.0281287 | + | 0.0253925i |
(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 | 252.2.bi.c.139.12 | yes | 80 | |
3.2 | odd | 2 | 756.2.bi.c.307.30 | 80 | |||
4.3 | odd | 2 | inner | 252.2.bi.c.139.37 | yes | 80 | |
7.6 | odd | 2 | inner | 252.2.bi.c.139.11 | ✓ | 80 | |
9.2 | odd | 6 | 756.2.bi.c.559.3 | 80 | |||
9.7 | even | 3 | inner | 252.2.bi.c.223.38 | yes | 80 | |
12.11 | even | 2 | 756.2.bi.c.307.4 | 80 | |||
21.20 | even | 2 | 756.2.bi.c.307.29 | 80 | |||
28.27 | even | 2 | inner | 252.2.bi.c.139.38 | yes | 80 | |
36.7 | odd | 6 | inner | 252.2.bi.c.223.11 | yes | 80 | |
36.11 | even | 6 | 756.2.bi.c.559.29 | 80 | |||
63.20 | even | 6 | 756.2.bi.c.559.4 | 80 | |||
63.34 | odd | 6 | inner | 252.2.bi.c.223.37 | yes | 80 | |
84.83 | odd | 2 | 756.2.bi.c.307.3 | 80 | |||
252.83 | odd | 6 | 756.2.bi.c.559.30 | 80 | |||
252.223 | even | 6 | inner | 252.2.bi.c.223.12 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.bi.c.139.11 | ✓ | 80 | 7.6 | odd | 2 | inner | |
252.2.bi.c.139.12 | yes | 80 | 1.1 | even | 1 | trivial | |
252.2.bi.c.139.37 | yes | 80 | 4.3 | odd | 2 | inner | |
252.2.bi.c.139.38 | yes | 80 | 28.27 | even | 2 | inner | |
252.2.bi.c.223.11 | yes | 80 | 36.7 | odd | 6 | inner | |
252.2.bi.c.223.12 | yes | 80 | 252.223 | even | 6 | inner | |
252.2.bi.c.223.37 | yes | 80 | 63.34 | odd | 6 | inner | |
252.2.bi.c.223.38 | yes | 80 | 9.7 | even | 3 | inner | |
756.2.bi.c.307.3 | 80 | 84.83 | odd | 2 | |||
756.2.bi.c.307.4 | 80 | 12.11 | even | 2 | |||
756.2.bi.c.307.29 | 80 | 21.20 | even | 2 | |||
756.2.bi.c.307.30 | 80 | 3.2 | odd | 2 | |||
756.2.bi.c.559.3 | 80 | 9.2 | odd | 6 | |||
756.2.bi.c.559.4 | 80 | 63.20 | even | 6 | |||
756.2.bi.c.559.29 | 80 | 36.11 | even | 6 | |||
756.2.bi.c.559.30 | 80 | 252.83 | odd | 6 |