Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(7,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 165.13 |
Dual form | 165.2.w.a.127.2 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.93567 | + | 0.986271i | −1.36872 | + | 0.697399i | −0.975078 | − | 0.221864i | \(-0.928786\pi\) |
−0.393645 | + | 0.919263i | \(0.628786\pi\) | |||||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | 1.59850 | − | 2.20015i | 0.799250 | − | 1.10007i | ||||
\(5\) | 1.61795 | + | 1.54345i | 0.723568 | + | 0.690253i | ||||
\(6\) | 2.06612 | − | 0.671323i | 0.843490 | − | 0.274067i | ||||
\(7\) | −0.626599 | − | 3.95619i | −0.236832 | − | 1.49530i | −0.763821 | − | 0.645428i | \(-0.776679\pi\) |
0.526989 | − | 0.849872i | \(-0.323321\pi\) | |||||||
\(8\) | −0.244529 | + | 1.54390i | −0.0864542 | + | 0.545850i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −4.65407 | − | 1.39188i | −1.47175 | − | 0.440150i | ||||
\(11\) | 2.42559 | + | 2.26197i | 0.731342 | + | 0.682011i | ||||
\(12\) | −1.92300 | + | 1.92300i | −0.555122 | + | 0.555122i | ||||
\(13\) | 2.31230 | + | 4.53814i | 0.641316 | + | 1.25865i | 0.951404 | + | 0.307946i | \(0.0996417\pi\) |
−0.310087 | + | 0.950708i | \(0.600358\pi\) | |||||||
\(14\) | 5.11476 | + | 7.03987i | 1.36698 | + | 1.88148i | ||||
\(15\) | −1.35658 | − | 1.77755i | −0.350267 | − | 0.458962i | ||||
\(16\) | 0.631388 | + | 1.94321i | 0.157847 | + | 0.485803i | ||||
\(17\) | −0.566297 | + | 1.11142i | −0.137347 | + | 0.269559i | −0.949427 | − | 0.313987i | \(-0.898335\pi\) |
0.812080 | + | 0.583546i | \(0.198335\pi\) | |||||||
\(18\) | −2.14570 | + | 0.339846i | −0.505747 | + | 0.0801024i | ||||
\(19\) | 4.58879 | − | 3.33395i | 1.05274 | − | 0.764860i | 0.0800083 | − | 0.996794i | \(-0.474505\pi\) |
0.972732 | + | 0.231934i | \(0.0745053\pi\) | |||||||
\(20\) | 5.98211 | − | 1.09251i | 1.33764 | − | 0.244292i | ||||
\(21\) | 4.00551i | 0.874073i | ||||||||
\(22\) | −6.92604 | − | 1.98614i | −1.47664 | − | 0.423446i | ||||
\(23\) | 2.70988 | + | 2.70988i | 0.565049 | + | 0.565049i | 0.930737 | − | 0.365688i | \(-0.119166\pi\) |
−0.365688 | + | 0.930737i | \(0.619166\pi\) | |||||||
\(24\) | 0.483038 | − | 1.48664i | 0.0985997 | − | 0.303459i | ||||
\(25\) | 0.235502 | + | 4.99445i | 0.0471005 | + | 0.998890i | ||||
\(26\) | −8.95168 | − | 6.50377i | −1.75557 | − | 1.27549i | ||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | −9.70582 | − | 4.94536i | −1.83423 | − | 0.934586i | ||||
\(29\) | −3.13702 | − | 2.27918i | −0.582531 | − | 0.423233i | 0.257105 | − | 0.966383i | \(-0.417231\pi\) |
−0.839636 | + | 0.543150i | \(0.817231\pi\) | |||||||
\(30\) | 4.37903 | + | 2.10280i | 0.799498 | + | 0.383916i | ||||
\(31\) | 0.236665 | − | 0.728379i | 0.0425063 | − | 0.130821i | −0.927551 | − | 0.373696i | \(-0.878090\pi\) |
0.970058 | + | 0.242875i | \(0.0780904\pi\) | |||||||
\(32\) | −5.34931 | − | 5.34931i | −0.945633 | − | 0.945633i | ||||
\(33\) | −2.04187 | − | 2.61357i | −0.355445 | − | 0.454964i | ||||
\(34\) | − | 2.70986i | − | 0.464737i | ||||||
\(35\) | 5.09239 | − | 7.36803i | 0.860772 | − | 1.24542i | ||||
\(36\) | 2.20015 | − | 1.59850i | 0.366691 | − | 0.266417i | ||||
\(37\) | 8.46850 | − | 1.34128i | 1.39221 | − | 0.220505i | 0.585129 | − | 0.810941i | \(-0.301044\pi\) |
0.807085 | + | 0.590436i | \(0.201044\pi\) | |||||||
\(38\) | −5.59418 | + | 10.9792i | −0.907496 | + | 1.78106i | ||||
\(39\) | −1.57391 | − | 4.84399i | −0.252027 | − | 0.775660i | ||||
\(40\) | −2.77857 | + | 2.12052i | −0.439331 | + | 0.335284i | ||||
\(41\) | −2.45935 | − | 3.38501i | −0.384086 | − | 0.528650i | 0.572575 | − | 0.819852i | \(-0.305945\pi\) |
−0.956661 | + | 0.291203i | \(0.905945\pi\) | |||||||
\(42\) | −3.95051 | − | 7.75332i | −0.609577 | − | 1.19636i | ||||
\(43\) | 5.05226 | − | 5.05226i | 0.770463 | − | 0.770463i | −0.207725 | − | 0.978187i | \(-0.566606\pi\) |
0.978187 | + | 0.207725i | \(0.0666058\pi\) | |||||||
\(44\) | 8.85398 | − | 1.72088i | 1.33479 | − | 0.259433i | ||||
\(45\) | 1.06181 | + | 1.96788i | 0.158285 | + | 0.293355i | ||||
\(46\) | −7.91810 | − | 2.57275i | −1.16746 | − | 0.379331i | ||||
\(47\) | −0.654608 | + | 4.13303i | −0.0954843 | + | 0.602864i | 0.892825 | + | 0.450403i | \(0.148720\pi\) |
−0.988309 | + | 0.152461i | \(0.951280\pi\) | |||||||
\(48\) | −0.319629 | − | 2.01806i | −0.0461345 | − | 0.291282i | ||||
\(49\) | −8.60143 | + | 2.79477i | −1.22878 | + | 0.399253i | ||||
\(50\) | −5.38173 | − | 9.43532i | −0.761092 | − | 1.33436i | ||||
\(51\) | 0.733190 | − | 1.00915i | 0.102667 | − | 0.141309i | ||||
\(52\) | 13.6808 | + | 2.16682i | 1.89718 | + | 0.300484i | ||||
\(53\) | 2.96933 | − | 1.51295i | 0.407869 | − | 0.207820i | −0.238005 | − | 0.971264i | \(-0.576493\pi\) |
0.645873 | + | 0.763444i | \(0.276493\pi\) | |||||||
\(54\) | 2.17245 | 0.295633 | ||||||||
\(55\) | 0.433218 | + | 7.40353i | 0.0584152 | + | 0.998292i | ||||
\(56\) | 6.26118 | 0.836685 | ||||||||
\(57\) | −5.05384 | + | 2.57506i | −0.669397 | + | 0.341075i | ||||
\(58\) | 8.32012 | + | 1.31778i | 1.09248 | + | 0.173033i | ||||
\(59\) | 0.431206 | − | 0.593505i | 0.0561383 | − | 0.0772677i | −0.780025 | − | 0.625749i | \(-0.784794\pi\) |
0.836163 | + | 0.548481i | \(0.184794\pi\) | |||||||
\(60\) | −6.07937 | + | 0.143250i | −0.784843 | + | 0.0184935i | ||||
\(61\) | −4.43475 | + | 1.44094i | −0.567812 | + | 0.184493i | −0.578833 | − | 0.815446i | \(-0.696492\pi\) |
0.0110211 | + | 0.999939i | \(0.496492\pi\) | |||||||
\(62\) | 0.260275 | + | 1.64331i | 0.0330550 | + | 0.208701i | ||||
\(63\) | 0.626599 | − | 3.95619i | 0.0789441 | − | 0.498433i | ||||
\(64\) | 11.7439 | + | 3.81583i | 1.46799 | + | 0.476978i | ||||
\(65\) | −3.26324 | + | 10.9114i | −0.404755 | + | 1.35339i | ||||
\(66\) | 6.53007 | + | 3.04516i | 0.803796 | + | 0.374833i | ||||
\(67\) | −9.74376 | + | 9.74376i | −1.19039 | + | 1.19039i | −0.213431 | + | 0.976958i | \(0.568464\pi\) |
−0.976958 | + | 0.213431i | \(0.931536\pi\) | |||||||
\(68\) | 1.54006 | + | 3.02254i | 0.186760 | + | 0.366537i | ||||
\(69\) | −2.25260 | − | 3.10044i | −0.271181 | − | 0.373249i | ||||
\(70\) | −2.59029 | + | 19.2845i | −0.309599 | + | 2.30494i | ||||
\(71\) | −3.59115 | − | 11.0524i | −0.426192 | − | 1.31168i | −0.901849 | − | 0.432052i | \(-0.857790\pi\) |
0.475657 | − | 0.879631i | \(-0.342210\pi\) | |||||||
\(72\) | −0.709652 | + | 1.39277i | −0.0836333 | + | 0.164140i | ||||
\(73\) | −2.28427 | + | 0.361793i | −0.267354 | + | 0.0423447i | −0.288672 | − | 0.957428i | \(-0.593214\pi\) |
0.0213181 | + | 0.999773i | \(0.493214\pi\) | |||||||
\(74\) | −15.0693 | + | 10.9485i | −1.75177 | + | 1.27274i | ||||
\(75\) | 0.548701 | − | 4.96980i | 0.0633586 | − | 0.573863i | ||||
\(76\) | − | 15.4253i | − | 1.76941i | ||||||
\(77\) | 7.42893 | − | 11.0134i | 0.846605 | − | 1.25510i | ||||
\(78\) | 7.82405 | + | 7.82405i | 0.885899 | + | 0.885899i | ||||
\(79\) | −3.35829 | + | 10.3357i | −0.377837 | + | 1.16286i | 0.563708 | + | 0.825974i | \(0.309374\pi\) |
−0.941545 | + | 0.336888i | \(0.890626\pi\) | |||||||
\(80\) | −1.97771 | + | 4.11853i | −0.221114 | + | 0.460466i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 8.09902 | + | 4.12666i | 0.894387 | + | 0.455713i | ||||
\(83\) | 0.0435972 | + | 0.0222139i | 0.00478542 | + | 0.00243829i | 0.456382 | − | 0.889784i | \(-0.349145\pi\) |
−0.451596 | + | 0.892222i | \(0.649145\pi\) | |||||||
\(84\) | 8.81270 | + | 6.40280i | 0.961544 | + | 0.698603i | ||||
\(85\) | −2.63166 | + | 0.924166i | −0.285444 | + | 0.100240i | ||||
\(86\) | −4.79659 | + | 14.7624i | −0.517230 | + | 1.59187i | ||||
\(87\) | 2.74186 | + | 2.74186i | 0.293958 | + | 0.293958i | ||||
\(88\) | −4.08538 | + | 3.19174i | −0.435503 | + | 0.340241i | ||||
\(89\) | − | 4.99151i | − | 0.529099i | −0.964372 | − | 0.264550i | \(-0.914777\pi\) | ||
0.964372 | − | 0.264550i | \(-0.0852233\pi\) | |||||||
\(90\) | −3.99617 | − | 2.76194i | −0.421233 | − | 0.291134i | ||||
\(91\) | 16.5049 | − | 11.9915i | 1.73018 | − | 1.25705i | ||||
\(92\) | 10.2939 | − | 1.63039i | 1.07321 | − | 0.169980i | ||||
\(93\) | −0.347695 | + | 0.682389i | −0.0360543 | + | 0.0707605i | ||||
\(94\) | −2.80919 | − | 8.64578i | −0.289745 | − | 0.891744i | ||||
\(95\) | 12.5702 | + | 1.68843i | 1.28968 | + | 0.173229i | ||||
\(96\) | 4.44663 | + | 6.12026i | 0.453833 | + | 0.624647i | ||||
\(97\) | −2.62070 | − | 5.14342i | −0.266092 | − | 0.522235i | 0.718840 | − | 0.695175i | \(-0.244673\pi\) |
−0.984932 | + | 0.172940i | \(0.944673\pi\) | |||||||
\(98\) | 13.8931 | − | 13.8931i | 1.40341 | − | 1.40341i | ||||
\(99\) | 1.60788 | + | 2.90081i | 0.161598 | + | 0.291543i | ||||
\(100\) | 11.3650 | + | 7.46549i | 1.13650 | + | 0.746549i | ||||
\(101\) | 3.17814 | + | 1.03264i | 0.316237 | + | 0.102752i | 0.462835 | − | 0.886445i | \(-0.346832\pi\) |
−0.146598 | + | 0.989196i | \(0.546832\pi\) | |||||||
\(102\) | −0.423916 | + | 2.67650i | −0.0419739 | + | 0.265013i | ||||
\(103\) | −2.56145 | − | 16.1724i | −0.252388 | − | 1.59351i | −0.709895 | − | 0.704307i | \(-0.751258\pi\) |
0.457508 | − | 0.889206i | \(-0.348742\pi\) | |||||||
\(104\) | −7.57185 | + | 2.46024i | −0.742481 | + | 0.241247i | ||||
\(105\) | −6.18231 | + | 6.48069i | −0.603332 | + | 0.632451i | ||||
\(106\) | −4.25545 | + | 5.85713i | −0.413326 | + | 0.568894i | ||||
\(107\) | −11.7537 | − | 1.86160i | −1.13627 | − | 0.179967i | −0.440171 | − | 0.897914i | \(-0.645082\pi\) |
−0.696098 | + | 0.717946i | \(0.745082\pi\) | |||||||
\(108\) | −2.42312 | + | 1.23464i | −0.233165 | + | 0.118803i | ||||
\(109\) | −7.37791 | −0.706676 | −0.353338 | − | 0.935496i | \(-0.614953\pi\) | ||||
−0.353338 | + | 0.935496i | \(0.614953\pi\) | |||||||
\(110\) | −8.14046 | − | 13.9035i | −0.776162 | − | 1.32565i | ||||
\(111\) | −8.57406 | −0.813814 | ||||||||
\(112\) | 7.29209 | − | 3.71551i | 0.689038 | − | 0.351082i | ||||
\(113\) | −4.64778 | − | 0.736136i | −0.437227 | − | 0.0692499i | −0.0660588 | − | 0.997816i | \(-0.521042\pi\) |
−0.371168 | + | 0.928566i | \(0.621042\pi\) | |||||||
\(114\) | 7.24283 | − | 9.96890i | 0.678353 | − | 0.933673i | ||||
\(115\) | 0.201867 | + | 8.56702i | 0.0188242 | + | 0.798879i | ||||
\(116\) | −10.0291 | + | 3.25864i | −0.931175 | + | 0.302557i | ||||
\(117\) | 0.796764 | + | 5.03057i | 0.0736609 | + | 0.465076i | ||||
\(118\) | −0.249315 | + | 1.57411i | −0.0229513 | + | 0.144909i | ||||
\(119\) | 4.75183 | + | 1.54396i | 0.435600 | + | 0.141535i | ||||
\(120\) | 3.07608 | − | 1.65975i | 0.280807 | − | 0.151514i | ||||
\(121\) | 0.766946 | + | 10.9732i | 0.0697224 | + | 0.997566i | ||||
\(122\) | 7.16305 | − | 7.16305i | 0.648512 | − | 0.648512i | ||||
\(123\) | 1.89954 | + | 3.72806i | 0.171276 | + | 0.336148i | ||||
\(124\) | −1.22423 | − | 1.68501i | −0.109939 | − | 0.151319i | ||||
\(125\) | −7.32767 | + | 8.44424i | −0.655407 | + | 0.755276i | ||||
\(126\) | 2.68899 | + | 8.27586i | 0.239554 | + | 0.737272i | ||||
\(127\) | −1.80811 | + | 3.54861i | −0.160444 | + | 0.314888i | −0.957208 | − | 0.289402i | \(-0.906543\pi\) |
0.796764 | + | 0.604291i | \(0.206543\pi\) | |||||||
\(128\) | −11.5519 | + | 1.82964i | −1.02105 | + | 0.161719i | ||||
\(129\) | −5.78041 | + | 4.19971i | −0.508937 | + | 0.369764i | ||||
\(130\) | −4.44506 | − | 24.3393i | −0.389858 | − | 2.13469i | ||||
\(131\) | 6.08791i | 0.531903i | 0.963986 | + | 0.265952i | \(0.0856862\pi\) | ||||
−0.963986 | + | 0.265952i | \(0.914314\pi\) | |||||||
\(132\) | −9.01417 | + | 0.314628i | −0.784583 | + | 0.0273848i | ||||
\(133\) | −16.0651 | − | 16.0651i | −1.39302 | − | 1.39302i | ||||
\(134\) | 9.25067 | − | 28.4706i | 0.799136 | − | 2.45949i | ||||
\(135\) | −0.740888 | − | 2.10976i | −0.0637655 | − | 0.181579i | ||||
\(136\) | −1.57744 | − | 1.14608i | −0.135265 | − | 0.0982756i | ||||
\(137\) | 5.81380 | + | 2.96228i | 0.496707 | + | 0.253085i | 0.684352 | − | 0.729152i | \(-0.260085\pi\) |
−0.187645 | + | 0.982237i | \(0.560085\pi\) | |||||||
\(138\) | 7.41815 | + | 3.77974i | 0.631475 | + | 0.321752i | ||||
\(139\) | −8.08385 | − | 5.87326i | −0.685664 | − | 0.498164i | 0.189568 | − | 0.981868i | \(-0.439291\pi\) |
−0.875232 | + | 0.483704i | \(0.839291\pi\) | |||||||
\(140\) | −8.07056 | − | 22.9818i | −0.682087 | − | 1.94232i | ||||
\(141\) | 1.29310 | − | 3.97974i | 0.108898 | − | 0.335155i | ||||
\(142\) | 17.8520 | + | 17.8520i | 1.49810 | + | 1.49810i | ||||
\(143\) | −4.65648 | + | 16.2380i | −0.389394 | + | 1.35789i | ||||
\(144\) | 2.04321i | 0.170268i | ||||||||
\(145\) | −1.55773 | − | 8.52944i | −0.129362 | − | 0.708332i | ||||
\(146\) | 4.06476 | − | 2.95322i | 0.336402 | − | 0.244411i | ||||
\(147\) | 8.93273 | − | 1.41481i | 0.736759 | − | 0.116691i | ||||
\(148\) | 10.5859 | − | 20.7760i | 0.870155 | − | 1.70778i | ||||
\(149\) | 1.31084 | + | 4.03436i | 0.107389 | + | 0.330508i | 0.990284 | − | 0.139062i | \(-0.0444089\pi\) |
−0.882895 | + | 0.469570i | \(0.844409\pi\) | |||||||
\(150\) | 3.83947 | + | 10.1610i | 0.313491 | + | 0.829646i | ||||
\(151\) | 1.16711 | + | 1.60638i | 0.0949777 | + | 0.130726i | 0.853861 | − | 0.520501i | \(-0.174255\pi\) |
−0.758883 | + | 0.651227i | \(0.774255\pi\) | |||||||
\(152\) | 4.02518 | + | 7.89987i | 0.326486 | + | 0.640764i | ||||
\(153\) | −0.882028 | + | 0.882028i | −0.0713078 | + | 0.0713078i | ||||
\(154\) | −3.51769 | + | 28.6453i | −0.283464 | + | 2.30830i | ||||
\(155\) | 1.50713 | − | 0.813198i | 0.121056 | − | 0.0653176i | ||||
\(156\) | −13.1734 | − | 4.28029i | −1.05472 | − | 0.342698i | ||||
\(157\) | 0.578509 | − | 3.65256i | 0.0461701 | − | 0.291506i | −0.953790 | − | 0.300475i | \(-0.902855\pi\) |
0.999960 | + | 0.00896859i | \(0.00285483\pi\) | |||||||
\(158\) | −3.69332 | − | 23.3187i | −0.293825 | − | 1.85514i | ||||
\(159\) | −3.16945 | + | 1.02982i | −0.251354 | + | 0.0816698i | ||||
\(160\) | −0.398486 | − | 16.9113i | −0.0315031 | − | 1.33696i | ||||
\(161\) | 9.02280 | − | 12.4188i | 0.711096 | − | 0.978740i | ||||
\(162\) | −2.14570 | − | 0.339846i | −0.168582 | − | 0.0267008i | ||||
\(163\) | 3.30833 | − | 1.68568i | 0.259129 | − | 0.132033i | −0.319601 | − | 0.947552i | \(-0.603549\pi\) |
0.578729 | + | 0.815520i | \(0.303549\pi\) | |||||||
\(164\) | −11.3788 | −0.888534 | ||||||||
\(165\) | 0.730283 | − | 7.38015i | 0.0568525 | − | 0.574544i | ||||
\(166\) | −0.106299 | −0.00825037 | ||||||||
\(167\) | −7.21819 | + | 3.67785i | −0.558560 | + | 0.284601i | −0.710393 | − | 0.703806i | \(-0.751483\pi\) |
0.151832 | + | 0.988406i | \(0.451483\pi\) | |||||||
\(168\) | −6.18409 | − | 0.979464i | −0.477113 | − | 0.0755673i | ||||
\(169\) | −7.60680 | + | 10.4699i | −0.585139 | + | 0.805374i | ||||
\(170\) | 4.18254 | − | 4.38441i | 0.320786 | − | 0.336269i | ||||
\(171\) | 5.39444 | − | 1.75276i | 0.412523 | − | 0.134037i | ||||
\(172\) | −3.03968 | − | 19.1918i | −0.231773 | − | 1.46336i | ||||
\(173\) | −3.11076 | + | 19.6406i | −0.236507 | + | 1.49325i | 0.528340 | + | 0.849033i | \(0.322815\pi\) |
−0.764847 | + | 0.644212i | \(0.777185\pi\) | |||||||
\(174\) | −8.01154 | − | 2.60311i | −0.607353 | − | 0.197341i | ||||
\(175\) | 19.6114 | − | 4.06121i | 1.48249 | − | 0.306999i | ||||
\(176\) | −2.86401 | + | 6.14161i | −0.215883 | + | 0.462942i | ||||
\(177\) | −0.518742 | + | 0.518742i | −0.0389910 | + | 0.0389910i | ||||
\(178\) | 4.92298 | + | 9.66189i | 0.368993 | + | 0.724190i | ||||
\(179\) | −12.5391 | − | 17.2586i | −0.937215 | − | 1.28997i | −0.956978 | − | 0.290161i | \(-0.906291\pi\) |
0.0197634 | − | 0.999805i | \(-0.493709\pi\) | |||||||
\(180\) | 6.02693 | + | 0.809536i | 0.449221 | + | 0.0603393i | ||||
\(181\) | −2.65677 | − | 8.17671i | −0.197477 | − | 0.607770i | −0.999939 | − | 0.0110673i | \(-0.996477\pi\) |
0.802462 | − | 0.596703i | \(-0.203523\pi\) | |||||||
\(182\) | −20.1211 | + | 39.4898i | −1.49147 | + | 2.92718i | ||||
\(183\) | 4.60557 | − | 0.729450i | 0.340453 | − | 0.0539225i | ||||
\(184\) | −4.84643 | + | 3.52113i | −0.357283 | + | 0.259582i | ||||
\(185\) | 15.7718 | + | 10.9006i | 1.15956 | + | 0.801430i | ||||
\(186\) | − | 1.66380i | − | 0.121996i | ||||||
\(187\) | −3.88761 | + | 1.41490i | −0.284290 | + | 0.103468i | ||||
\(188\) | 8.04688 | + | 8.04688i | 0.586879 | + | 0.586879i | ||||
\(189\) | −1.23777 | + | 3.80946i | −0.0900345 | + | 0.277098i | ||||
\(190\) | −25.9970 | + | 9.12940i | −1.88602 | + | 0.662316i | ||||
\(191\) | 0.708879 | + | 0.515031i | 0.0512927 | + | 0.0372663i | 0.613136 | − | 0.789977i | \(-0.289908\pi\) |
−0.561844 | + | 0.827244i | \(0.689908\pi\) | |||||||
\(192\) | −11.0024 | − | 5.60600i | −0.794030 | − | 0.404578i | ||||
\(193\) | 21.4951 | + | 10.9523i | 1.54725 | + | 0.788363i | 0.998854 | − | 0.0478565i | \(-0.0152390\pi\) |
0.548395 | + | 0.836219i | \(0.315239\pi\) | |||||||
\(194\) | 10.1456 | + | 7.37122i | 0.728413 | + | 0.529223i | ||||
\(195\) | 4.92998 | − | 10.2666i | 0.353043 | − | 0.735205i | ||||
\(196\) | −7.60047 | + | 23.3918i | −0.542891 | + | 1.67085i | ||||
\(197\) | 1.54634 | + | 1.54634i | 0.110173 | + | 0.110173i | 0.760044 | − | 0.649872i | \(-0.225177\pi\) |
−0.649872 | + | 0.760044i | \(0.725177\pi\) | |||||||
\(198\) | −5.97331 | − | 4.02920i | −0.424505 | − | 0.286343i | ||||
\(199\) | − | 2.84042i | − | 0.201352i | −0.994919 | − | 0.100676i | \(-0.967899\pi\) | ||
0.994919 | − | 0.100676i | \(-0.0321006\pi\) | |||||||
\(200\) | −7.76851 | − | 0.857699i | −0.549317 | − | 0.0606485i | ||||
\(201\) | 11.1481 | − | 8.09954i | 0.786323 | − | 0.571297i | ||||
\(202\) | −7.17028 | + | 1.13566i | −0.504499 | + | 0.0799048i | ||||
\(203\) | −7.05122 | + | 13.8388i | −0.494899 | + | 0.971293i | ||||
\(204\) | −1.04827 | − | 3.22625i | −0.0733937 | − | 0.225883i | ||||
\(205\) | 1.24550 | − | 9.27266i | 0.0869897 | − | 0.647631i | ||||
\(206\) | 20.9085 | + | 28.7780i | 1.45676 | + | 2.00506i | ||||
\(207\) | 1.73985 | + | 3.41465i | 0.120928 | + | 0.237335i | ||||
\(208\) | −7.35862 | + | 7.35862i | −0.510228 | + | 0.510228i | ||||
\(209\) | 18.6718 | + | 2.29293i | 1.29156 | + | 0.158606i | ||||
\(210\) | 5.57517 | − | 18.6419i | 0.384723 | − | 1.28641i | ||||
\(211\) | −18.1842 | − | 5.90839i | −1.25185 | − | 0.406750i | −0.393266 | − | 0.919425i | \(-0.628655\pi\) |
−0.858583 | + | 0.512674i | \(0.828655\pi\) | |||||||
\(212\) | 1.41776 | − | 8.95141i | 0.0973724 | − | 0.614785i | ||||
\(213\) | 1.81796 | + | 11.4781i | 0.124564 | + | 0.786469i | ||||
\(214\) | 24.5872 | − | 7.98887i | 1.68075 | − | 0.546108i | ||||
\(215\) | 15.9722 | − | 0.376358i | 1.08930 | − | 0.0256674i | ||||
\(216\) | 0.918792 | − | 1.26461i | 0.0625159 | − | 0.0860458i | ||||
\(217\) | −3.02990 | − | 0.479889i | −0.205683 | − | 0.0325770i | ||||
\(218\) | 14.2812 | − | 7.27662i | 0.967243 | − | 0.492835i | ||||
\(219\) | 2.31275 | 0.156281 | ||||||||
\(220\) | 16.9814 | + | 10.8814i | 1.14488 | + | 0.733624i | ||||
\(221\) | −6.35323 | −0.427365 | ||||||||
\(222\) | 16.5965 | − | 8.45635i | 1.11389 | − | 0.567553i | ||||
\(223\) | −9.64672 | − | 1.52789i | −0.645992 | − | 0.102315i | −0.175163 | − | 0.984539i | \(-0.556045\pi\) |
−0.470829 | + | 0.882224i | \(0.656045\pi\) | |||||||
\(224\) | −17.8110 | + | 24.5148i | −1.19005 | + | 1.63796i | ||||
\(225\) | −1.31939 | + | 4.82278i | −0.0879596 | + | 0.321519i | ||||
\(226\) | 9.72258 | − | 3.15906i | 0.646736 | − | 0.210137i | ||||
\(227\) | −3.63355 | − | 22.9413i | −0.241167 | − | 1.52267i | −0.749788 | − | 0.661679i | \(-0.769844\pi\) |
0.508621 | − | 0.860991i | \(-0.330156\pi\) | |||||||
\(228\) | −2.41305 | + | 15.2354i | −0.159808 | + | 1.00899i | ||||
\(229\) | −0.687116 | − | 0.223257i | −0.0454059 | − | 0.0147533i | 0.286226 | − | 0.958162i | \(-0.407599\pi\) |
−0.331632 | + | 0.943409i | \(0.607599\pi\) | |||||||
\(230\) | −8.84015 | − | 16.3838i | −0.582902 | − | 1.08031i | ||||
\(231\) | −9.06035 | + | 9.71570i | −0.596127 | + | 0.639246i | ||||
\(232\) | 4.28592 | − | 4.28592i | 0.281384 | − | 0.281384i | ||||
\(233\) | −6.82897 | − | 13.4026i | −0.447380 | − | 0.878034i | −0.999033 | − | 0.0439598i | \(-0.986003\pi\) |
0.551653 | − | 0.834074i | \(-0.313997\pi\) | |||||||
\(234\) | −6.50377 | − | 8.95168i | −0.425165 | − | 0.585189i | ||||
\(235\) | −7.43826 | + | 5.67667i | −0.485219 | + | 0.370305i | ||||
\(236\) | −0.616514 | − | 1.89743i | −0.0401316 | − | 0.123512i | ||||
\(237\) | 4.93381 | − | 9.68315i | 0.320485 | − | 0.628988i | ||||
\(238\) | −10.7207 | + | 1.69800i | −0.694922 | + | 0.110065i | ||||
\(239\) | 3.25568 | − | 2.36539i | 0.210593 | − | 0.153004i | −0.477489 | − | 0.878638i | \(-0.658453\pi\) |
0.688082 | + | 0.725633i | \(0.258453\pi\) | |||||||
\(240\) | 2.59764 | − | 3.75844i | 0.167677 | − | 0.242607i | ||||
\(241\) | 25.0056i | 1.61075i | 0.592766 | + | 0.805375i | \(0.298036\pi\) | ||||
−0.592766 | + | 0.805375i | \(0.701964\pi\) | |||||||
\(242\) | −12.3071 | − | 20.4841i | −0.791132 | − | 1.31677i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −3.91868 | + | 12.0605i | −0.250868 | + | 0.772091i | ||||
\(245\) | −18.2303 | − | 8.75411i | −1.16469 | − | 0.559280i | ||||
\(246\) | −7.35376 | − | 5.34282i | −0.468858 | − | 0.340646i | ||||
\(247\) | 25.7406 | + | 13.1155i | 1.63783 | + | 0.834518i | ||||
\(248\) | 1.06667 | + | 0.543497i | 0.0677337 | + | 0.0345121i | ||||
\(249\) | −0.0395854 | − | 0.0287605i | −0.00250863 | − | 0.00182262i | ||||
\(250\) | 5.85561 | − | 23.5723i | 0.370342 | − | 1.49084i | ||||
\(251\) | 1.74476 | − | 5.36983i | 0.110128 | − | 0.338941i | −0.880771 | − | 0.473542i | \(-0.842975\pi\) |
0.990900 | + | 0.134601i | \(0.0429753\pi\) | |||||||
\(252\) | −7.70258 | − | 7.70258i | −0.485217 | − | 0.485217i | ||||
\(253\) | 0.443372 | + | 12.7027i | 0.0278745 | + | 0.798614i | ||||
\(254\) | − | 8.65220i | − | 0.542887i | ||||||
\(255\) | 2.74384 | − | 0.501105i | 0.171826 | − | 0.0313804i | ||||
\(256\) | 0.576106 | − | 0.418566i | 0.0360066 | − | 0.0261604i | ||||
\(257\) | −7.68343 | + | 1.21694i | −0.479279 | + | 0.0759104i | −0.391400 | − | 0.920221i | \(-0.628009\pi\) |
−0.0878795 | + | 0.996131i | \(0.528009\pi\) | |||||||
\(258\) | 7.04688 | − | 13.8303i | 0.438720 | − | 0.861036i | ||||
\(259\) | −10.6127 | − | 32.6626i | −0.659442 | − | 2.02955i | ||||
\(260\) | 18.7904 | + | 24.6215i | 1.16533 | + | 1.52696i | ||||
\(261\) | −2.27918 | − | 3.13702i | −0.141078 | − | 0.194177i | ||||
\(262\) | −6.00433 | − | 11.7842i | −0.370949 | − | 0.728028i | ||||
\(263\) | 22.4683 | − | 22.4683i | 1.38546 | − | 1.38546i | 0.550853 | − | 0.834602i | \(-0.314303\pi\) |
0.834602 | − | 0.550853i | \(-0.185697\pi\) | |||||||
\(264\) | 4.53439 | − | 2.51335i | 0.279072 | − | 0.154686i | ||||
\(265\) | 7.13938 | + | 2.13515i | 0.438569 | + | 0.131161i | ||||
\(266\) | 46.9411 | + | 15.2521i | 2.87814 | + | 0.935166i | ||||
\(267\) | −0.780844 | + | 4.93006i | −0.0477869 | + | 0.301715i | ||||
\(268\) | 5.86230 | + | 37.0131i | 0.358097 | + | 2.26093i | ||||
\(269\) | 25.7878 | − | 8.37895i | 1.57231 | − | 0.510873i | 0.612247 | − | 0.790667i | \(-0.290266\pi\) |
0.960060 | + | 0.279793i | \(0.0902660\pi\) | |||||||
\(270\) | 3.51490 | + | 3.35307i | 0.213910 | + | 0.204062i | ||||
\(271\) | −12.8302 | + | 17.6592i | −0.779378 | + | 1.07272i | 0.215972 | + | 0.976399i | \(0.430708\pi\) |
−0.995350 | + | 0.0963220i | \(0.969292\pi\) | |||||||
\(272\) | −2.51728 | − | 0.398698i | −0.152632 | − | 0.0241746i | ||||
\(273\) | −18.1776 | + | 9.26193i | −1.10016 | + | 0.560557i | ||||
\(274\) | −14.1752 | −0.856355 | ||||||||
\(275\) | −10.7261 | + | 12.6472i | −0.646807 | + | 0.762653i | ||||
\(276\) | −10.4222 | −0.627342 | ||||||||
\(277\) | −3.43369 | + | 1.74955i | −0.206310 | + | 0.105120i | −0.554093 | − | 0.832455i | \(-0.686935\pi\) |
0.347782 | + | 0.937575i | \(0.386935\pi\) | |||||||
\(278\) | 21.4403 | + | 3.39580i | 1.28590 | + | 0.203667i | ||||
\(279\) | 0.450163 | − | 0.619597i | 0.0269506 | − | 0.0370943i | ||||
\(280\) | 10.1303 | + | 9.66384i | 0.605398 | + | 0.577525i | ||||
\(281\) | 26.3633 | − | 8.56595i | 1.57270 | − | 0.511002i | 0.612538 | − | 0.790441i | \(-0.290149\pi\) |
0.960163 | + | 0.279439i | \(0.0901486\pi\) | |||||||
\(282\) | 1.42210 | + | 8.97879i | 0.0846849 | + | 0.534679i | ||||
\(283\) | 3.73361 | − | 23.5731i | 0.221940 | − | 1.40127i | −0.585188 | − | 0.810898i | \(-0.698979\pi\) |
0.807128 | − | 0.590376i | \(-0.201021\pi\) | |||||||
\(284\) | −30.0574 | − | 9.76625i | −1.78358 | − | 0.579520i | ||||
\(285\) | −12.1513 | − | 3.63405i | −0.719782 | − | 0.215263i | ||||
\(286\) | −7.00170 | − | 36.0239i | −0.414019 | − | 2.13014i | ||||
\(287\) | −11.8507 | + | 11.8507i | −0.699526 | + | 0.699526i | ||||
\(288\) | −3.43447 | − | 6.74052i | −0.202378 | − | 0.397189i | ||||
\(289\) | 9.07779 | + | 12.4945i | 0.533987 | + | 0.734971i | ||||
\(290\) | 11.4276 | + | 14.9738i | 0.671050 | + | 0.879292i | ||||
\(291\) | 1.78383 | + | 5.49007i | 0.104570 | + | 0.321833i | ||||
\(292\) | −2.85541 | + | 5.60406i | −0.167100 | + | 0.327953i | ||||
\(293\) | −12.8223 | + | 2.03085i | −0.749087 | + | 0.118644i | −0.519294 | − | 0.854596i | \(-0.673805\pi\) |
−0.229793 | + | 0.973239i | \(0.573805\pi\) | |||||||
\(294\) | −15.8954 | + | 11.5487i | −0.927038 | + | 0.673533i | ||||
\(295\) | 1.61372 | − | 0.294712i | 0.0939542 | − | 0.0171588i | ||||
\(296\) | 13.4025i | 0.779004i | ||||||||
\(297\) | −1.13430 | − | 3.11663i | −0.0658187 | − | 0.180845i | ||||
\(298\) | −6.51633 | − | 6.51633i | −0.377481 | − | 0.377481i | ||||
\(299\) | −6.03177 | + | 18.5639i | −0.348826 | + | 1.07358i | ||||
\(300\) | −10.0572 | − | 9.15145i | −0.580652 | − | 0.528359i | ||||
\(301\) | −23.1535 | − | 16.8220i | −1.33454 | − | 0.969602i | ||||
\(302\) | −3.84346 | − | 1.95834i | −0.221166 | − | 0.112690i | ||||
\(303\) | −2.97747 | − | 1.51710i | −0.171051 | − | 0.0871549i | ||||
\(304\) | 9.37588 | + | 6.81197i | 0.537743 | + | 0.390693i | ||||
\(305\) | −9.39922 | − | 4.51348i | −0.538198 | − | 0.258441i | ||||
\(306\) | 0.837393 | − | 2.57723i | 0.0478706 | − | 0.147330i | ||||
\(307\) | 0.378913 | + | 0.378913i | 0.0216257 | + | 0.0216257i | 0.717837 | − | 0.696211i | \(-0.245132\pi\) |
−0.696211 | + | 0.717837i | \(0.745132\pi\) | |||||||
\(308\) | −12.3560 | − | 33.9497i | −0.704050 | − | 1.93446i | ||||
\(309\) | 16.3740i | 0.931483i | ||||||||
\(310\) | −2.11527 | + | 3.06052i | −0.120139 | + | 0.173826i | ||||
\(311\) | −16.4773 | + | 11.9714i | −0.934340 | + | 0.678838i | −0.947052 | − | 0.321082i | \(-0.895954\pi\) |
0.0127116 | + | 0.999919i | \(0.495954\pi\) | |||||||
\(312\) | 7.86350 | − | 1.24546i | 0.445183 | − | 0.0705101i | ||||
\(313\) | −2.33232 | + | 4.57744i | −0.131831 | + | 0.258732i | −0.947480 | − | 0.319814i | \(-0.896380\pi\) |
0.815650 | + | 0.578546i | \(0.196380\pi\) | |||||||
\(314\) | 2.48262 | + | 7.64071i | 0.140102 | + | 0.431190i | ||||
\(315\) | 7.12000 | − | 5.43378i | 0.401167 | − | 0.306159i | ||||
\(316\) | 17.3719 | + | 23.9104i | 0.977248 | + | 1.34507i | ||||
\(317\) | 12.1823 | + | 23.9090i | 0.684224 | + | 1.34287i | 0.927835 | + | 0.372992i | \(0.121668\pi\) |
−0.243610 | + | 0.969873i | \(0.578332\pi\) | |||||||
\(318\) | 5.11932 | − | 5.11932i | 0.287077 | − | 0.287077i | ||||
\(319\) | −2.45367 | − | 12.6242i | −0.137379 | − | 0.706820i | ||||
\(320\) | 13.1115 | + | 24.3000i | 0.732953 | + | 1.35841i | ||||
\(321\) | 11.3177 | + | 3.67736i | 0.631695 | + | 0.205250i | ||||
\(322\) | −5.21680 | + | 32.9376i | −0.290721 | + | 1.83554i | ||||
\(323\) | 1.10680 | + | 6.98808i | 0.0615842 | + | 0.388827i | ||||
\(324\) | 2.58643 | − | 0.840381i | 0.143690 | − | 0.0466878i | ||||
\(325\) | −22.1210 | + | 12.6174i | −1.22705 | + | 0.699888i | ||||
\(326\) | −4.74129 | + | 6.52582i | −0.262596 | + | 0.361432i | ||||
\(327\) | 7.28708 | + | 1.15416i | 0.402976 | + | 0.0638252i | ||||
\(328\) | 5.82749 | − | 2.96926i | 0.321769 | − | 0.163950i | ||||
\(329\) | 16.7612 | 0.924077 | ||||||||
\(330\) | 5.86525 | + | 15.0058i | 0.322871 | + | 0.826040i | ||||
\(331\) | 33.1897 | 1.82427 | 0.912135 | − | 0.409890i | \(-0.134433\pi\) | ||||
0.912135 | + | 0.409890i | \(0.134433\pi\) | |||||||
\(332\) | 0.118564 | − | 0.0604114i | 0.00650704 | − | 0.00331550i | ||||
\(333\) | 8.46850 | + | 1.34128i | 0.464071 | + | 0.0735016i | ||||
\(334\) | 10.3446 | − | 14.2382i | 0.566034 | − | 0.779079i | ||||
\(335\) | −30.8039 | + | 0.725842i | −1.68300 | + | 0.0396570i | ||||
\(336\) | −7.78355 | + | 2.52903i | −0.424627 | + | 0.137970i | ||||
\(337\) | −4.61561 | − | 29.1418i | −0.251428 | − | 1.58745i | −0.713528 | − | 0.700626i | \(-0.752904\pi\) |
0.462100 | − | 0.886828i | \(-0.347096\pi\) | |||||||
\(338\) | 4.39810 | − | 27.7685i | 0.239225 | − | 1.51041i | ||||
\(339\) | 4.47540 | + | 1.45415i | 0.243071 | + | 0.0789784i | ||||
\(340\) | −2.17342 | + | 7.26733i | −0.117870 | + | 0.394126i | ||||
\(341\) | 2.22163 | − | 1.23142i | 0.120308 | − | 0.0666850i | ||||
\(342\) | −8.71314 | + | 8.71314i | −0.471153 | + | 0.471153i | ||||
\(343\) | 3.71707 | + | 7.29516i | 0.200703 | + | 0.393902i | ||||
\(344\) | 6.56475 | + | 9.03561i | 0.353948 | + | 0.487167i | ||||
\(345\) | 1.14080 | − | 8.49312i | 0.0614183 | − | 0.457254i | ||||
\(346\) | −13.3495 | − | 41.0856i | −0.717675 | − | 2.20878i | ||||
\(347\) | −5.64195 | + | 11.0730i | −0.302876 | + | 0.594428i | −0.991412 | − | 0.130774i | \(-0.958254\pi\) |
0.688536 | + | 0.725202i | \(0.258254\pi\) | |||||||
\(348\) | 10.4154 | − | 1.64963i | 0.558321 | − | 0.0884294i | ||||
\(349\) | −9.84617 | + | 7.15366i | −0.527053 | + | 0.382927i | −0.819254 | − | 0.573430i | \(-0.805612\pi\) |
0.292201 | + | 0.956357i | \(0.405612\pi\) | |||||||
\(350\) | −33.9557 | + | 27.2033i | −1.81501 | + | 1.45408i | ||||
\(351\) | − | 5.09328i | − | 0.271859i | ||||||
\(352\) | −0.875216 | − | 25.0752i | −0.0466492 | − | 1.33651i | ||||
\(353\) | −21.2693 | − | 21.2693i | −1.13205 | − | 1.13205i | −0.989836 | − | 0.142216i | \(-0.954577\pi\) |
−0.142216 | − | 0.989836i | \(-0.545423\pi\) | |||||||
\(354\) | 0.492491 | − | 1.51573i | 0.0261756 | − | 0.0805602i | ||||
\(355\) | 11.2486 | − | 23.4250i | 0.597015 | − | 1.24327i | ||||
\(356\) | −10.9821 | − | 7.97893i | −0.582048 | − | 0.422882i | ||||
\(357\) | −4.45180 | − | 2.26831i | −0.235614 | − | 0.120051i | ||||
\(358\) | 41.2931 | + | 21.0399i | 2.18241 | + | 1.11199i | ||||
\(359\) | 17.1501 | + | 12.4603i | 0.905149 | + | 0.657629i | 0.939783 | − | 0.341771i | \(-0.111027\pi\) |
−0.0346345 | + | 0.999400i | \(0.511027\pi\) | |||||||
\(360\) | −3.29786 | + | 1.15811i | −0.173812 | + | 0.0610379i | ||||
\(361\) | 4.07043 | − | 12.5275i | 0.214233 | − | 0.659341i | ||||
\(362\) | 13.2071 | + | 13.2071i | 0.694149 | + | 0.694149i | ||||
\(363\) | 0.959088 | − | 10.9581i | 0.0503391 | − | 0.575152i | ||||
\(364\) | − | 55.4815i | − | 2.90802i | ||||||
\(365\) | −4.25424 | − | 2.94031i | −0.222677 | − | 0.153903i | ||||
\(366\) | −8.19540 | + | 5.95431i | −0.428381 | + | 0.311237i | ||||
\(367\) | 13.6498 | − | 2.16192i | 0.712514 | − | 0.112851i | 0.210353 | − | 0.977625i | \(-0.432539\pi\) |
0.502161 | + | 0.864774i | \(0.332539\pi\) | |||||||
\(368\) | −3.55489 | + | 6.97686i | −0.185311 | + | 0.363694i | ||||
\(369\) | −1.29296 | − | 3.97932i | −0.0673087 | − | 0.207155i | ||||
\(370\) | −41.2799 | − | 5.54471i | −2.14604 | − | 0.288256i | ||||
\(371\) | −7.84610 | − | 10.7992i | −0.407349 | − | 0.560668i | ||||
\(372\) | 0.945567 | + | 1.85578i | 0.0490253 | + | 0.0962176i | ||||
\(373\) | −12.0946 | + | 12.0946i | −0.626236 | + | 0.626236i | −0.947119 | − | 0.320883i | \(-0.896020\pi\) |
0.320883 | + | 0.947119i | \(0.396020\pi\) | |||||||
\(374\) | 6.12964 | − | 6.57300i | 0.316956 | − | 0.339882i | ||||
\(375\) | 8.55843 | − | 7.19398i | 0.441955 | − | 0.371495i | ||||
\(376\) | −6.22091 | − | 2.02129i | −0.320819 | − | 0.104240i | ||||
\(377\) | 3.08951 | − | 19.5064i | 0.159118 | − | 1.00463i | ||||
\(378\) | −1.36125 | − | 8.59462i | −0.0700154 | − | 0.442060i | ||||
\(379\) | 0.349194 | − | 0.113460i | 0.0179369 | − | 0.00582804i | −0.300035 | − | 0.953928i | \(-0.596998\pi\) |
0.317972 | + | 0.948100i | \(0.396998\pi\) | |||||||
\(380\) | 23.8083 | − | 24.9573i | 1.22134 | − | 1.28028i | ||||
\(381\) | 2.34097 | − | 3.22207i | 0.119932 | − | 0.165072i | ||||
\(382\) | −1.88011 | − | 0.297780i | −0.0961949 | − | 0.0152358i | ||||
\(383\) | −28.0388 | + | 14.2865i | −1.43272 | + | 0.730005i | −0.986322 | − | 0.164831i | \(-0.947292\pi\) |
−0.446394 | + | 0.894836i | \(0.647292\pi\) | |||||||
\(384\) | 11.6959 | 0.596852 | ||||||||
\(385\) | 29.0183 | − | 6.35294i | 1.47891 | − | 0.323776i | ||||
\(386\) | −52.4092 | −2.66756 | ||||||||
\(387\) | 6.36622 | − | 3.24375i | 0.323613 | − | 0.164889i | ||||
\(388\) | −15.5055 | − | 2.45583i | −0.787171 | − | 0.124676i | ||||
\(389\) | 20.5153 | − | 28.2368i | 1.04016 | − | 1.43166i | 0.143130 | − | 0.989704i | \(-0.454283\pi\) |
0.897035 | − | 0.441960i | \(-0.145717\pi\) | |||||||
\(390\) | 0.582837 | + | 24.7350i | 0.0295131 | + | 1.25250i | ||||
\(391\) | −4.54642 | + | 1.47722i | −0.229922 | + | 0.0747062i | ||||
\(392\) | −2.21154 | − | 13.9631i | −0.111700 | − | 0.705245i | ||||
\(393\) | 0.952359 | − | 6.01296i | 0.0480402 | − | 0.303314i | ||||
\(394\) | −4.51832 | − | 1.46809i | −0.227630 | − | 0.0739614i | ||||
\(395\) | −21.3863 | + | 11.5393i | −1.07606 | + | 0.580607i | ||||
\(396\) | 8.95241 | + | 1.09937i | 0.449876 | + | 0.0552456i | ||||
\(397\) | 8.10434 | − | 8.10434i | 0.406745 | − | 0.406745i | −0.473857 | − | 0.880602i | \(-0.657139\pi\) |
0.880602 | + | 0.473857i | \(0.157139\pi\) | |||||||
\(398\) | 2.80143 | + | 5.49811i | 0.140423 | + | 0.275595i | ||||
\(399\) | 13.3542 | + | 18.3804i | 0.668544 | + | 0.920172i | ||||
\(400\) | −9.55659 | + | 3.61107i | −0.477829 | + | 0.180553i | ||||
\(401\) | −7.45244 | − | 22.9363i | −0.372157 | − | 1.14538i | −0.945377 | − | 0.325980i | \(-0.894306\pi\) |
0.573220 | − | 0.819402i | \(-0.305694\pi\) | |||||||
\(402\) | −13.5906 | + | 26.6730i | −0.677836 | + | 1.33033i | ||||
\(403\) | 3.85273 | − | 0.610212i | 0.191918 | − | 0.0303968i | ||||
\(404\) | 7.35221 | − | 5.34170i | 0.365786 | − | 0.265759i | ||||
\(405\) | 0.401727 | + | 2.19969i | 0.0199620 | + | 0.109303i | ||||
\(406\) | − | 33.7417i | − | 1.67457i | ||||||
\(407\) | 23.5750 | + | 15.9021i | 1.16857 | + | 0.788240i | ||||
\(408\) | 1.37874 | + | 1.37874i | 0.0682576 | + | 0.0682576i | ||||
\(409\) | −4.96063 | + | 15.2673i | −0.245288 | + | 0.754918i | 0.750301 | + | 0.661096i | \(0.229908\pi\) |
−0.995589 | + | 0.0938217i | \(0.970092\pi\) | |||||||
\(410\) | 6.73448 | + | 19.1772i | 0.332592 | + | 0.947093i | ||||
\(411\) | −5.27882 | − | 3.83529i | −0.260385 | − | 0.189181i | ||||
\(412\) | −39.6761 | − | 20.2160i | −1.95470 | − | 0.995970i | ||||
\(413\) | −2.61821 | − | 1.33405i | −0.128834 | − | 0.0656441i | ||||
\(414\) | −6.73554 | − | 4.89366i | −0.331034 | − | 0.240510i | ||||
\(415\) | 0.0362519 | + | 0.103231i | 0.00177953 | + | 0.00506742i | ||||
\(416\) | 11.9067 | − | 36.6451i | 0.583775 | − | 1.79667i | ||||
\(417\) | 7.06555 | + | 7.06555i | 0.346001 | + | 0.346001i | ||||
\(418\) | −38.4038 | + | 13.9771i | −1.87839 | + | 0.683643i | ||||
\(419\) | 1.01897i | 0.0497800i | 0.999690 | + | 0.0248900i | \(0.00792355\pi\) | ||||
−0.999690 | + | 0.0248900i | \(0.992076\pi\) | |||||||
\(420\) | 4.37605 | + | 23.9614i | 0.213529 | + | 1.16920i | ||||
\(421\) | 2.48285 | − | 1.80389i | 0.121007 | − | 0.0879164i | −0.525636 | − | 0.850710i | \(-0.676173\pi\) |
0.646642 | + | 0.762793i | \(0.276173\pi\) | |||||||
\(422\) | 41.0257 | − | 6.49784i | 1.99710 | − | 0.316310i | ||||
\(423\) | −1.89975 | + | 3.72846i | −0.0923688 | + | 0.181284i | ||||
\(424\) | 1.60975 | + | 4.95430i | 0.0781764 | + | 0.240602i | ||||
\(425\) | −5.68430 | − | 2.56660i | −0.275729 | − | 0.124498i | ||||
\(426\) | −14.8395 | − | 20.4248i | −0.718977 | − | 0.989587i | ||||
\(427\) | 8.47944 | + | 16.6418i | 0.410349 | + | 0.805355i | ||||
\(428\) | −22.8840 | + | 22.8840i | −1.10614 | + | 1.10614i | ||||
\(429\) | 7.13934 | − | 15.3097i | 0.344690 | − | 0.739158i | ||||
\(430\) | −30.5457 | + | 16.4814i | −1.47304 | + | 0.794806i | ||||
\(431\) | 3.18922 | + | 1.03624i | 0.153620 | + | 0.0499140i | 0.384817 | − | 0.922993i | \(-0.374264\pi\) |
−0.231198 | + | 0.972907i | \(0.574264\pi\) | |||||||
\(432\) | 0.319629 | − | 2.01806i | 0.0153782 | − | 0.0970939i | ||||
\(433\) | 0.201389 | + | 1.27152i | 0.00967815 | + | 0.0611054i | 0.992055 | − | 0.125807i | \(-0.0401520\pi\) |
−0.982377 | + | 0.186912i | \(0.940152\pi\) | |||||||
\(434\) | 6.33818 | − | 2.05940i | 0.304242 | − | 0.0988543i | ||||
\(435\) | 0.204249 | + | 8.66811i | 0.00979301 | + | 0.415604i | ||||
\(436\) | −11.7936 | + | 16.2325i | −0.564811 | + | 0.777395i | ||||
\(437\) | 21.4697 | + | 3.40046i | 1.02703 | + | 0.162666i | ||||
\(438\) | −4.47671 | + | 2.28100i | −0.213905 | + | 0.108990i | ||||
\(439\) | −29.7921 | −1.42190 | −0.710950 | − | 0.703243i | \(-0.751735\pi\) | ||||
−0.710950 | + | 0.703243i | \(0.751735\pi\) | |||||||
\(440\) | −11.5362 | − | 1.14154i | −0.549969 | − | 0.0544206i | ||||
\(441\) | −9.04408 | −0.430670 | ||||||||
\(442\) | 12.2977 | − | 6.26601i | 0.584944 | − | 0.298044i | ||||
\(443\) | −3.32439 | − | 0.526532i | −0.157947 | − | 0.0250163i | 0.0769603 | − | 0.997034i | \(-0.475479\pi\) |
−0.234907 | + | 0.972018i | \(0.575479\pi\) | |||||||
\(444\) | −13.7056 | + | 18.8642i | −0.650441 | + | 0.895255i | ||||
\(445\) | 7.70416 | − | 8.07600i | 0.365212 | − | 0.382839i | ||||
\(446\) | 20.1797 | − | 6.55680i | 0.955539 | − | 0.310473i | ||||
\(447\) | −0.663592 | − | 4.18975i | −0.0313868 | − | 0.198169i | ||||
\(448\) | 7.73742 | − | 48.8521i | 0.365559 | − | 2.30805i | ||||
\(449\) | −39.2062 | − | 12.7389i | −1.85026 | − | 0.601185i | −0.996792 | − | 0.0800330i | \(-0.974497\pi\) |
−0.853464 | − | 0.521152i | \(-0.825503\pi\) | |||||||
\(450\) | −2.20266 | − | 10.6366i | −0.103834 | − | 0.501413i | ||||
\(451\) | 1.69143 | − | 13.7736i | 0.0796462 | − | 0.648575i | ||||
\(452\) | −9.04909 | + | 9.04909i | −0.425633 | + | 0.425633i | ||||
\(453\) | −0.901443 | − | 1.76918i | −0.0423535 | − | 0.0831234i | ||||
\(454\) | 29.6597 | + | 40.8231i | 1.39200 | + | 1.91592i | ||||
\(455\) | 45.2123 | + | 6.07291i | 2.11959 | + | 0.284702i | ||||
\(456\) | −2.73982 | − | 8.43228i | −0.128304 | − | 0.394878i | ||||
\(457\) | −3.12685 | + | 6.13680i | −0.146268 | + | 0.287067i | −0.952504 | − | 0.304528i | \(-0.901501\pi\) |
0.806235 | + | 0.591595i | \(0.201501\pi\) | |||||||
\(458\) | 1.55022 | − | 0.245530i | 0.0724369 | − | 0.0114729i | ||||
\(459\) | 1.00915 | − | 0.733190i | 0.0471030 | − | 0.0342224i | ||||
\(460\) | 19.1714 | + | 13.2502i | 0.893870 | + | 0.617796i | ||||
\(461\) | 0.943983i | 0.0439657i | 0.999758 | + | 0.0219828i | \(0.00699792\pi\) | ||||
−0.999758 | + | 0.0219828i | \(0.993002\pi\) | |||||||
\(462\) | 7.95549 | − | 27.7423i | 0.370123 | − | 1.29069i | ||||
\(463\) | 16.3776 | + | 16.3776i | 0.761130 | + | 0.761130i | 0.976527 | − | 0.215397i | \(-0.0691045\pi\) |
−0.215397 | + | 0.976527i | \(0.569105\pi\) | |||||||
\(464\) | 2.44825 | − | 7.53495i | 0.113657 | − | 0.349801i | ||||
\(465\) | −1.61579 | + | 0.567419i | −0.0749304 | + | 0.0263134i | ||||
\(466\) | 26.4372 | + | 19.2077i | 1.22468 | + | 0.889782i | ||||
\(467\) | −18.3152 | − | 9.33204i | −0.847525 | − | 0.431835i | −0.0244042 | − | 0.999702i | \(-0.507769\pi\) |
−0.823120 | + | 0.567867i | \(0.807769\pi\) | |||||||
\(468\) | 12.3416 | + | 6.28837i | 0.570491 | + | 0.290680i | ||||
\(469\) | 44.6536 | + | 32.4427i | 2.06191 | + | 1.49807i | ||||
\(470\) | 8.79925 | − | 18.3243i | 0.405879 | − | 0.845235i | ||||
\(471\) | −1.14277 | + | 3.51710i | −0.0526562 | + | 0.162059i | ||||
\(472\) | 0.810868 | + | 0.810868i | 0.0373232 | + | 0.0373232i | ||||
\(473\) | 23.6828 | − | 0.826616i | 1.08894 | − | 0.0380078i | ||||
\(474\) | 23.6094i | 1.08442i | ||||||||
\(475\) | 17.7319 | + | 22.1333i | 0.813596 | + | 1.01555i | ||||
\(476\) | 10.9928 | − | 7.98670i | 0.503852 | − | 0.366070i | ||||
\(477\) | 3.29153 | − | 0.521327i | 0.150709 | − | 0.0238699i | ||||
\(478\) | −3.96900 | + | 7.78959i | −0.181538 | + | 0.356288i | ||||
\(479\) | 3.19706 | + | 9.83953i | 0.146077 | + | 0.449580i | 0.997148 | − | 0.0754715i | \(-0.0240462\pi\) |
−0.851071 | + | 0.525051i | \(0.824046\pi\) | |||||||
\(480\) | −2.25193 | + | 16.7654i | −0.102786 | + | 0.765234i | ||||
\(481\) | 25.6686 | + | 35.3298i | 1.17039 | + | 1.61090i | ||||
\(482\) | −24.6623 | − | 48.4024i | −1.12333 | − | 2.20467i | ||||
\(483\) | −10.8544 | + | 10.8544i | −0.493894 | + | 0.493894i | ||||
\(484\) | 25.3687 | + | 15.8533i | 1.15312 | + | 0.720605i | ||||
\(485\) | 3.69847 | − | 12.3667i | 0.167939 | − | 0.561544i | ||||
\(486\) | 2.06612 | + | 0.671323i | 0.0937211 | + | 0.0304518i | ||||
\(487\) | −1.53390 | + | 9.68467i | −0.0695077 | + | 0.438854i | 0.928252 | + | 0.371952i | \(0.121311\pi\) |
−0.997760 | + | 0.0669020i | \(0.978689\pi\) | |||||||
\(488\) | −1.14024 | − | 7.19916i | −0.0516160 | − | 0.325891i | ||||
\(489\) | −3.53130 | + | 1.14739i | −0.159691 | + | 0.0518867i | ||||
\(490\) | 43.9216 | − | 1.03494i | 1.98418 | − | 0.0467537i | ||||
\(491\) | −6.32001 | + | 8.69875i | −0.285218 | + | 0.392569i | −0.927454 | − | 0.373938i | \(-0.878007\pi\) |
0.642235 | + | 0.766507i | \(0.278007\pi\) | |||||||
\(492\) | 11.2387 | + | 1.78004i | 0.506680 | + | 0.0802502i | ||||
\(493\) | 4.30962 | − | 2.19586i | 0.194095 | − | 0.0988965i | ||||
\(494\) | −62.7606 | −2.82373 | ||||||||
\(495\) | −1.87580 | + | 7.17505i | −0.0843111 | + | 0.322495i | ||||
\(496\) | 1.56482 | 0.0702626 | ||||||||
\(497\) | −41.4753 | + | 21.1327i | −1.86042 | + | 0.947933i | ||||
\(498\) | 0.104990 | + | 0.0166288i | 0.00470471 | + | 0.000745152i | ||||
\(499\) | −0.911997 | + | 1.25526i | −0.0408266 | + | 0.0561930i | −0.828942 | − | 0.559334i | \(-0.811057\pi\) |
0.788116 | + | 0.615527i | \(0.211057\pi\) | |||||||
\(500\) | 6.86528 | + | 29.6201i | 0.307025 | + | 1.32465i | ||||
\(501\) | 7.70467 | − | 2.50340i | 0.344219 | − | 0.111844i | ||||
\(502\) | 1.91883 | + | 12.1150i | 0.0856415 | + | 0.540719i | ||||
\(503\) | −4.24279 | + | 26.7879i | −0.189177 | + | 1.19441i | 0.692096 | + | 0.721805i | \(0.256687\pi\) |
−0.881273 | + | 0.472608i | \(0.843313\pi\) | |||||||
\(504\) | 5.95473 | + | 1.93481i | 0.265245 | + | 0.0861833i | ||||
\(505\) | 3.54823 | + | 6.57607i | 0.157894 | + | 0.292631i | ||||
\(506\) | −13.3866 | − | 24.1510i | −0.595105 | − | 1.07364i | ||||
\(507\) | 9.15100 | − | 9.15100i | 0.406410 | − | 0.406410i | ||||
\(508\) | 4.91720 | + | 9.65055i | 0.218166 | + | 0.428174i | ||||
\(509\) | 10.6136 | + | 14.6084i | 0.470442 | + | 0.647507i | 0.976633 | − | 0.214914i | \(-0.0689471\pi\) |
−0.506191 | + | 0.862421i | \(0.668947\pi\) | |||||||
\(510\) | −4.81692 | + | 3.67614i | −0.213297 | + | 0.162782i | ||||
\(511\) | 2.86265 | + | 8.81032i | 0.126636 | + | 0.389746i | ||||
\(512\) | 9.91729 | − | 19.4638i | 0.438287 | − | 0.860186i | ||||
\(513\) | −5.60222 | + | 0.887304i | −0.247344 | + | 0.0391755i | ||||
\(514\) | 13.6723 | − | 9.93353i | 0.603060 | − | 0.438149i | ||||
\(515\) | 20.8170 | − | 30.1195i | 0.917308 | − | 1.32723i | ||||
\(516\) | 19.4310i | 0.855402i | ||||||||
\(517\) | −10.9366 | + | 8.54432i | −0.480992 | + | 0.375779i | ||||
\(518\) | 52.7568 | + | 52.7568i | 2.31800 | + | 2.31800i | ||||
\(519\) | 6.14493 | − | 18.9121i | 0.269732 | − | 0.830151i | ||||
\(520\) | −16.0481 | − | 7.70626i | −0.703757 | − | 0.337942i | ||||
\(521\) | −10.1987 | − | 7.40977i | −0.446812 | − | 0.324628i | 0.341524 | − | 0.939873i | \(-0.389057\pi\) |
−0.788336 | + | 0.615245i | \(0.789057\pi\) | |||||||
\(522\) | 7.50569 | + | 3.82434i | 0.328515 | + | 0.167387i | ||||
\(523\) | −14.5332 | − | 7.40503i | −0.635492 | − | 0.323800i | 0.106395 | − | 0.994324i | \(-0.466069\pi\) |
−0.741888 | + | 0.670524i | \(0.766069\pi\) | |||||||
\(524\) | 13.3943 | + | 9.73153i | 0.585133 | + | 0.425124i | ||||
\(525\) | −20.0053 | + | 0.943306i | −0.873103 | + | 0.0411692i | ||||
\(526\) | −21.3313 | + | 65.6510i | −0.930088 | + | 2.86252i | ||||
\(527\) | 0.675513 | + | 0.675513i | 0.0294258 | + | 0.0294258i | ||||
\(528\) | 3.78951 | − | 5.61797i | 0.164917 | − | 0.244491i | ||||
\(529\) | − | 8.31309i | − | 0.361438i | ||||||
\(530\) | −15.9253 | + | 2.90843i | −0.691751 | + | 0.126334i | ||||
\(531\) | 0.593505 | − | 0.431206i | 0.0257559 | − | 0.0187128i | ||||
\(532\) | −61.0255 | + | 9.66549i | −2.64579 | + | 0.419052i | ||||
\(533\) | 9.67489 | − | 18.9880i | 0.419066 | − | 0.822464i | ||||
\(534\) | −3.35092 | − | 10.3131i | −0.145008 | − | 0.446290i | ||||
\(535\) | −16.1435 | − | 21.1532i | −0.697945 | − | 0.914533i | ||||
\(536\) | −12.6607 | − | 17.4260i | −0.546860 | − | 0.752689i | ||||
\(537\) | 9.68487 | + | 19.0076i | 0.417933 | + | 0.820239i | ||||
\(538\) | −41.6525 | + | 41.6525i | −1.79577 | + | 1.79577i | ||||
\(539\) | −27.1852 | − | 12.6772i | −1.17095 | − | 0.546047i | ||||
\(540\) | −5.82609 | − | 1.74239i | −0.250715 | − | 0.0749805i | ||||
\(541\) | 15.3752 | + | 4.99571i | 0.661033 | + | 0.214783i | 0.620272 | − | 0.784386i | \(-0.287022\pi\) |
0.0407602 | + | 0.999169i | \(0.487022\pi\) | |||||||
\(542\) | 7.41815 | − | 46.8364i | 0.318637 | − | 2.01179i | ||||
\(543\) | 1.34495 | + | 8.49165i | 0.0577172 | + | 0.364412i | ||||
\(544\) | 8.97463 | − | 2.91603i | 0.384784 | − | 0.125024i | ||||
\(545\) | −11.9371 | − | 11.3875i | −0.511328 | − | 0.487786i | ||||
\(546\) | 26.0509 | − | 35.8560i | 1.11488 | − | 1.53449i | ||||
\(547\) | −19.5699 | − | 3.09956i | −0.836747 | − | 0.132528i | −0.276666 | − | 0.960966i | \(-0.589230\pi\) |
−0.560080 | + | 0.828438i | \(0.689230\pi\) | |||||||
\(548\) | 15.8108 | − | 8.05601i | 0.675405 | − | 0.344136i | ||||
\(549\) | −4.66298 | −0.199011 | ||||||||
\(550\) | 8.28858 | − | 35.0595i | 0.353426 | − | 1.49494i | ||||
\(551\) | −21.9938 | −0.936967 | ||||||||
\(552\) | 5.33759 | − | 2.71964i | 0.227183 | − | 0.115755i | ||||
\(553\) | 42.9945 | + | 6.80966i | 1.82831 | + | 0.289576i | ||||
\(554\) | 4.92094 | − | 6.77310i | 0.209071 | − | 0.287761i | ||||
\(555\) | −13.8724 | − | 13.2337i | −0.588850 | − | 0.561738i | ||||
\(556\) | −25.8441 | + | 8.39725i | −1.09603 | + | 0.356123i | ||||
\(557\) | 0.699877 | + | 4.41885i | 0.0296547 | + | 0.187233i | 0.998069 | − | 0.0621139i | \(-0.0197842\pi\) |
−0.968414 | + | 0.249346i | \(0.919784\pi\) | |||||||
\(558\) | −0.260275 | + | 1.64331i | −0.0110183 | + | 0.0695671i | ||||
\(559\) | 34.6102 | + | 11.2455i | 1.46386 | + | 0.475636i | ||||
\(560\) | 17.5329 | + | 5.24351i | 0.740901 | + | 0.221579i | ||||
\(561\) | 4.06108 | − | 0.789323i | 0.171459 | − | 0.0333252i | ||||
\(562\) | −42.5821 | + | 42.5821i | −1.79622 | + | 1.79622i | ||||
\(563\) | −6.99197 | − | 13.7225i | −0.294676 | − | 0.578335i | 0.695440 | − | 0.718584i | \(-0.255210\pi\) |
−0.990116 | + | 0.140249i | \(0.955210\pi\) | |||||||
\(564\) | −6.68900 | − | 9.20662i | −0.281658 | − | 0.387669i | ||||
\(565\) | −6.38367 | − | 8.36466i | −0.268563 | − | 0.351904i | ||||
\(566\) | 16.0224 | + | 49.3119i | 0.673473 | + | 2.07274i | ||||
\(567\) | 1.81846 | − | 3.56893i | 0.0763682 | − | 0.149881i | ||||
\(568\) | 17.9420 | − | 2.84173i | 0.752829 | − | 0.119236i | ||||
\(569\) | −1.28307 | + | 0.932205i | −0.0537891 | + | 0.0390801i | −0.614355 | − | 0.789030i | \(-0.710584\pi\) |
0.560566 | + | 0.828110i | \(0.310584\pi\) | |||||||
\(570\) | 27.1050 | − | 4.95018i | 1.13531 | − | 0.207340i | ||||
\(571\) | − | 13.0509i | − | 0.546163i | −0.961991 | − | 0.273081i | \(-0.911957\pi\) | ||
0.961991 | − | 0.273081i | \(-0.0880428\pi\) | |||||||
\(572\) | 28.2826 | + | 36.2014i | 1.18256 | + | 1.51366i | ||||
\(573\) | −0.619583 | − | 0.619583i | −0.0258834 | − | 0.0258834i | ||||
\(574\) | 11.2510 | − | 34.6270i | 0.469608 | − | 1.44530i | ||||
\(575\) | −12.8962 | + | 14.1726i | −0.537808 | + | 0.591036i | ||||
\(576\) | 9.98997 | + | 7.25814i | 0.416249 | + | 0.302422i | ||||
\(577\) | −16.0989 | − | 8.20279i | −0.670205 | − | 0.341486i | 0.0855567 | − | 0.996333i | \(-0.472733\pi\) |
−0.755762 | + | 0.654847i | \(0.772733\pi\) | |||||||
\(578\) | −29.8945 | − | 15.2320i | −1.24345 | − | 0.633568i | ||||
\(579\) | −19.5171 | − | 14.1800i | −0.811104 | − | 0.589301i | ||||
\(580\) | −21.2560 | − | 10.2071i | −0.882609 | − | 0.423826i | ||||
\(581\) | 0.0605644 | − | 0.186398i | 0.00251264 | − | 0.00773310i | ||||
\(582\) | −8.86759 | − | 8.86759i | −0.367574 | − | 0.367574i | ||||
\(583\) | 10.6246 | + | 3.04676i | 0.440027 | + | 0.126184i | ||||
\(584\) | − | 3.61516i | − | 0.149596i | ||||||
\(585\) | −6.47533 | + | 9.36896i | −0.267722 | + | 0.387359i | ||||
\(586\) | 22.8167 | − | 16.5773i | 0.942550 | − | 0.684803i | ||||
\(587\) | −11.6948 | + | 1.85227i | −0.482695 | + | 0.0764514i | −0.393040 | − | 0.919522i | \(-0.628577\pi\) |
−0.0896552 | + | 0.995973i | \(0.528577\pi\) | |||||||
\(588\) | 11.1662 | − | 21.9149i | 0.460486 | − | 0.903754i | ||||
\(589\) | −1.34238 | − | 4.13141i | −0.0553116 | − | 0.170232i | ||||
\(590\) | −2.83295 | + | 2.16202i | −0.116631 | + | 0.0890091i | ||||
\(591\) | −1.28541 | − | 1.76921i | −0.0528745 | − | 0.0727755i | ||||
\(592\) | 7.95330 | + | 15.6092i | 0.326879 | + | 0.641535i | ||||
\(593\) | 8.80231 | − | 8.80231i | 0.361467 | − | 0.361467i | −0.502886 | − | 0.864353i | \(-0.667728\pi\) |
0.864353 | + | 0.502886i | \(0.167728\pi\) | |||||||
\(594\) | 5.26946 | + | 4.91402i | 0.216209 | + | 0.201625i | ||||
\(595\) | 5.30518 | + | 9.83229i | 0.217491 | + | 0.403084i | ||||
\(596\) | 10.9716 | + | 3.56488i | 0.449413 | + | 0.146023i | ||||
\(597\) | −0.444340 | + | 2.80545i | −0.0181856 | + | 0.114820i | ||||
\(598\) | −6.63353 | − | 41.8824i | −0.271265 | − | 1.71270i | ||||
\(599\) | 7.01059 | − | 2.27788i | 0.286445 | − | 0.0930716i | −0.162270 | − | 0.986746i | \(-0.551882\pi\) |
0.448715 | + | 0.893675i | \(0.351882\pi\) | |||||||
\(600\) | 7.53869 | + | 2.06240i | 0.307766 | + | 0.0841972i | ||||
\(601\) | 3.77835 | − | 5.20046i | 0.154122 | − | 0.212131i | −0.724973 | − | 0.688777i | \(-0.758148\pi\) |
0.879095 | + | 0.476646i | \(0.158148\pi\) | |||||||
\(602\) | 61.4084 | + | 9.72613i | 2.50282 | + | 0.396407i | ||||
\(603\) | −12.2778 | + | 6.25588i | −0.499993 | + | 0.254759i | ||||
\(604\) | 5.39990 | 0.219719 | ||||||||
\(605\) | −15.6958 | + | 18.9378i | −0.638125 | + | 0.769933i | ||||
\(606\) | 7.25965 | 0.294903 | ||||||||
\(607\) | −25.6589 | + | 13.0738i | −1.04146 | + | 0.530651i | −0.889119 | − | 0.457677i | \(-0.848682\pi\) |
−0.152342 | + | 0.988328i | \(0.548682\pi\) | |||||||
\(608\) | −42.3811 | − | 6.71251i | −1.71878 | − | 0.272228i | ||||
\(609\) | 9.12927 | − | 12.5654i | 0.369937 | − | 0.509174i | ||||
\(610\) | 22.6453 | − | 0.533597i | 0.916879 | − | 0.0216047i | ||||
\(611\) | −20.2699 | + | 6.58610i | −0.820033 | + | 0.266445i | ||||
\(612\) | 0.530669 | + | 3.35051i | 0.0214510 | + | 0.135437i | ||||
\(613\) | 5.31950 | − | 33.5860i | 0.214853 | − | 1.35653i | −0.610549 | − | 0.791979i | \(-0.709051\pi\) |
0.825401 | − | 0.564547i | \(-0.190949\pi\) | |||||||
\(614\) | −1.10716 | − | 0.359738i | −0.0446814 | − | 0.0145179i | ||||
\(615\) | −2.68073 | + | 8.96366i | −0.108098 | + | 0.361450i | ||||
\(616\) | 15.1870 | + | 14.1626i | 0.611903 | + | 0.570628i | ||||
\(617\) | 31.1826 | − | 31.1826i | 1.25536 | − | 1.25536i | 0.302082 | − | 0.953282i | \(-0.402318\pi\) |
0.953282 | − | 0.302082i | \(-0.0976817\pi\) | |||||||
\(618\) | −16.1492 | − | 31.6945i | −0.649615 | − | 1.27494i | ||||
\(619\) | −21.3297 | − | 29.3578i | −0.857311 | − | 1.17999i | −0.982204 | − | 0.187818i | \(-0.939859\pi\) |
0.124892 | − | 0.992170i | \(-0.460141\pi\) | |||||||
\(620\) | 0.619994 | − | 4.61581i | 0.0248996 | − | 0.185375i | ||||
\(621\) | −1.18426 | − | 3.64478i | −0.0475228 | − | 0.146260i | ||||
\(622\) | 20.0874 | − | 39.4237i | 0.805431 | − | 1.58075i | ||||
\(623\) | −19.7474 | + | 3.12768i | −0.791162 | + | 0.125308i | ||||
\(624\) | 8.41916 | − | 6.11688i | 0.337036 | − | 0.244871i | ||||
\(625\) | −24.8891 | + | 2.35241i | −0.995563 | + | 0.0940964i | ||||
\(626\) | − | 11.1607i | − | 0.446071i | ||||||
\(627\) | −18.0832 | − | 5.18562i | −0.722175 | − | 0.207094i | ||||
\(628\) | −7.11143 | − | 7.11143i | −0.283777 | − | 0.283777i | ||||
\(629\) | −3.30496 | + | 10.1716i | −0.131778 | + | 0.405569i | ||||
\(630\) | −8.42276 | + | 17.5402i | −0.335571 | + | 0.698819i | ||||
\(631\) | 38.7679 | + | 28.1666i | 1.54333 | + | 1.12129i | 0.948206 | + | 0.317657i | \(0.102896\pi\) |
0.595122 | + | 0.803636i | \(0.297104\pi\) | |||||||
\(632\) | −15.1361 | − | 7.71225i | −0.602083 | − | 0.306777i | ||||
\(633\) | 17.0360 | + | 8.68028i | 0.677121 | + | 0.345010i | ||||
\(634\) | −47.1616 | − | 34.2649i | −1.87303 | − | 1.36083i | ||||
\(635\) | −8.40253 | + | 2.95073i | −0.333444 | + | 0.117096i | ||||
\(636\) | −2.80062 | + | 8.61942i | −0.111052 | + | 0.341782i | ||||
\(637\) | −32.5721 | − | 32.5721i | −1.29056 | − | 1.29056i | ||||
\(638\) | 17.2004 | + | 22.0163i | 0.680970 | + | 0.871632i | ||||
\(639\) | − | 11.6212i | − | 0.459728i | ||||||
\(640\) | −21.5143 | − | 14.8695i | −0.850426 | − | 0.587769i | ||||
\(641\) | −19.0504 | + | 13.8409i | −0.752446 | + | 0.546684i | −0.896584 | − | 0.442874i | \(-0.853959\pi\) |
0.144138 | + | 0.989558i | \(0.453959\pi\) | |||||||
\(642\) | −25.5342 | + | 4.04422i | −1.00776 | + | 0.159613i | ||||
\(643\) | −11.0921 | + | 21.7694i | −0.437428 | + | 0.858501i | 0.562078 | + | 0.827084i | \(0.310002\pi\) |
−0.999506 | + | 0.0314167i | \(0.989998\pi\) | |||||||
\(644\) | −12.9003 | − | 39.7030i | −0.508342 | − | 1.56452i | ||||
\(645\) | −15.8345 | − | 2.12688i | −0.623481 | − | 0.0837459i | ||||
\(646\) | −9.03454 | − | 12.4350i | −0.355459 | − | 0.489247i | ||||
\(647\) | 0.720564 | + | 1.41419i | 0.0283283 | + | 0.0555974i | 0.904737 | − | 0.425971i | \(-0.140067\pi\) |
−0.876409 | + | 0.481568i | \(0.840067\pi\) | |||||||
\(648\) | −1.10531 | + | 1.10531i | −0.0434206 | + | 0.0434206i | ||||
\(649\) | 2.38842 | − | 0.464220i | 0.0937537 | − | 0.0182222i | ||||
\(650\) | 30.3746 | − | 46.2404i | 1.19139 | − | 1.81370i | ||||
\(651\) | 2.91753 | + | 0.947962i | 0.114347 | + | 0.0371536i | ||||
\(652\) | 1.57963 | − | 9.97338i | 0.0618630 | − | 0.390588i | ||||
\(653\) | 3.46756 | + | 21.8933i | 0.135696 | + | 0.856750i | 0.957805 | + | 0.287420i | \(0.0927975\pi\) |
−0.822109 | + | 0.569330i | \(0.807203\pi\) | |||||||
\(654\) | −15.2437 | + | 4.95297i | −0.596074 | + | 0.193676i | ||||
\(655\) | −9.39641 | + | 9.84992i | −0.367148 | + | 0.384868i | ||||
\(656\) | 5.02499 | − | 6.91630i | 0.196193 | − | 0.270036i | ||||
\(657\) | −2.28427 | − | 0.361793i | −0.0891180 | − | 0.0141149i | ||||
\(658\) | −32.4441 | + | 16.5311i | −1.26480 | + | 0.644450i | ||||
\(659\) | 13.1372 | 0.511752 | 0.255876 | − | 0.966710i | \(-0.417636\pi\) | ||||
0.255876 | + | 0.966710i | \(0.417636\pi\) | |||||||
\(660\) | −15.0701 | − | 13.4039i | −0.586601 | − | 0.521746i | ||||
\(661\) | 30.1682 | 1.17341 | 0.586703 | − | 0.809802i | \(-0.300426\pi\) | ||||
0.586703 | + | 0.809802i | \(0.300426\pi\) | |||||||
\(662\) | −64.2441 | + | 32.7340i | −2.49692 | + | 1.27224i | ||||
\(663\) | 6.27501 | + | 0.993865i | 0.243701 | + | 0.0385985i | ||||
\(664\) | −0.0449568 | + | 0.0618777i | −0.00174466 | + | 0.00240132i | ||||
\(665\) | −1.19674 | − | 50.7881i | −0.0464074 | − | 1.96948i | ||||
\(666\) | −17.7151 | + | 5.75597i | −0.686444 | + | 0.223039i | ||||
\(667\) | −2.32465 | − | 14.6773i | −0.0900109 | − | 0.568306i | ||||
\(668\) | −3.44647 | + | 21.7601i | −0.133348 | + | 0.841924i | ||||
\(669\) | 9.28894 | + | 3.01816i | 0.359131 | + | 0.116689i | ||||
\(670\) | 58.9102 | − | 31.7860i | 2.27590 | − | 1.22800i | ||||
\(671\) | −14.0163 | − | 6.53618i | −0.541091 | − | 0.252326i | ||||
\(672\) | 21.4267 | − | 21.4267i | 0.826552 | − | 0.826552i | ||||
\(673\) | −20.4137 | − | 40.0641i | −0.786889 | − | 1.54436i | −0.838004 | − | 0.545664i | \(-0.816277\pi\) |
0.0511145 | − | 0.998693i | \(-0.483723\pi\) | |||||||
\(674\) | 37.6760 | + | 51.8565i | 1.45122 | + | 1.99744i | ||||
\(675\) | 2.05760 | − | 4.55700i | 0.0791970 | − | 0.175399i | ||||
\(676\) | 10.8758 | + | 33.4722i | 0.418299 | + | 1.28739i | ||||
\(677\) | 15.4947 | − | 30.4100i | 0.595508 | − | 1.16875i | −0.374852 | − | 0.927085i | \(-0.622306\pi\) |
0.970360 | − | 0.241666i | \(-0.0776937\pi\) | |||||||
\(678\) | −10.0971 | + | 1.59922i | −0.387775 | + | 0.0614176i | ||||
\(679\) | −18.7062 | + | 13.5909i | −0.717879 | + | 0.521570i | ||||
\(680\) | −0.783299 | − | 4.28901i | −0.0300381 | − | 0.164476i | ||||
\(681\) | 23.2273i | 0.890072i | ||||||||
\(682\) | −3.08581 | + | 4.57474i | −0.118162 | + | 0.175176i | ||||
\(683\) | 11.7243 | + | 11.7243i | 0.448619 | + | 0.448619i | 0.894895 | − | 0.446276i | \(-0.147250\pi\) |
−0.446276 | + | 0.894895i | \(0.647250\pi\) | |||||||
\(684\) | 4.76669 | − | 14.6704i | 0.182259 | − | 0.560935i | ||||
\(685\) | 4.83428 | + | 13.7661i | 0.184708 | + | 0.525978i | ||||
\(686\) | −14.3900 | − | 10.4550i | −0.549413 | − | 0.399172i | ||||
\(687\) | 0.643731 | + | 0.327997i | 0.0245599 | + | 0.0125139i | ||||
\(688\) | 13.0076 | + | 6.62768i | 0.495908 | + | 0.252678i | ||||
\(689\) | 13.7320 | + | 9.97685i | 0.523146 | + | 0.380088i | ||||
\(690\) | 6.16832 | + | 17.5650i | 0.234824 | + | 0.668687i | ||||
\(691\) | −1.81718 | + | 5.59270i | −0.0691287 | + | 0.212756i | −0.979653 | − | 0.200700i | \(-0.935678\pi\) |
0.910524 | + | 0.413456i | \(0.135678\pi\) | |||||||
\(692\) | 38.2396 | + | 38.2396i | 1.45365 | + | 1.45365i | ||||
\(693\) | 10.4687 | − | 8.17874i | 0.397672 | − | 0.310684i | ||||
\(694\) | − | 26.9980i | − | 1.02483i | ||||||
\(695\) | −4.01413 | − | 21.9797i | −0.152265 | − | 0.833737i | ||||
\(696\) | −4.90362 | + | 3.56269i | −0.185871 | + | 0.135043i | ||||
\(697\) | 5.15489 | − | 0.816455i | 0.195256 | − | 0.0309254i | ||||
\(698\) | 12.0034 | − | 23.5581i | 0.454337 | − | 0.891687i | ||||
\(699\) | 4.64826 | + | 14.3059i | 0.175813 | + | 0.541098i | ||||
\(700\) | 22.4136 | − | 49.6399i | 0.847155 | − | 1.87621i | ||||
\(701\) | 15.7245 | + | 21.6429i | 0.593905 | + | 0.817440i | 0.995133 | − | 0.0985379i | \(-0.0314166\pi\) |
−0.401228 | + | 0.915978i | \(0.631417\pi\) | |||||||
\(702\) | 5.02335 | + | 9.85888i | 0.189594 | + | 0.372099i | ||||
\(703\) | 34.3884 | − | 34.3884i | 1.29698 | − | 1.29698i | ||||
\(704\) | 19.8546 | + | 35.8200i | 0.748297 | + | 1.35002i | ||||
\(705\) | 8.23471 | − | 4.44318i | 0.310137 | − | 0.167340i | ||||
\(706\) | 62.1476 | + | 20.1930i | 2.33896 | + | 0.759973i | ||||
\(707\) | 2.09390 | − | 13.2204i | 0.0787493 | − | 0.497203i | ||||
\(708\) | 0.312099 | + | 1.97052i | 0.0117294 | + | 0.0740566i | ||||
\(709\) | −9.52249 | + | 3.09405i | −0.357625 | + | 0.116199i | −0.482318 | − | 0.875996i | \(-0.660205\pi\) |
0.124694 | + | 0.992195i | \(0.460205\pi\) | |||||||
\(710\) | 1.32985 | + | 56.4372i | 0.0499083 | + | 2.11805i | ||||
\(711\) | −6.38784 | + | 8.79211i | −0.239563 | + | 0.329730i | ||||
\(712\) | 7.70638 | + | 1.22057i | 0.288809 | + | 0.0457428i | ||||
\(713\) | 2.61516 | − | 1.33249i | 0.0979383 | − | 0.0499021i | ||||
\(714\) | 10.8544 | 0.406214 | ||||||||
\(715\) | −32.5966 | + | 19.0852i | −1.21904 | + | 0.713746i | ||||
\(716\) | −58.0151 | −2.16813 | ||||||||
\(717\) | −3.58563 | + | 1.82697i | −0.133908 | + | 0.0682294i | ||||
\(718\) | −45.4861 | − | 7.20429i | −1.69753 | − | 0.268862i | ||||
\(719\) | −15.3603 | + | 21.1417i | −0.572843 | + | 0.788451i | −0.992888 | − | 0.119053i | \(-0.962014\pi\) |
0.420045 | + | 0.907503i | \(0.362014\pi\) | |||||||
\(720\) | −3.15361 | + | 3.30581i | −0.117528 | + | 0.123200i | ||||
\(721\) | −62.3761 | + | 20.2672i | −2.32301 | + | 0.754790i | ||||
\(722\) | 4.47651 | + | 28.2636i | 0.166598 | + | 1.05186i | ||||
\(723\) | 3.91173 | − | 24.6977i | 0.145479 | − | 0.918517i | ||||
\(724\) | −22.2368 | − | 7.22518i | −0.826425 | − | 0.268522i | ||||
\(725\) | 10.6445 | − | 16.2045i | 0.395326 | − | 0.601819i | ||||
\(726\) | 8.95119 | + | 22.1572i | 0.332210 | + | 0.822329i | ||||
\(727\) | −19.2017 | + | 19.2017i | −0.712150 | + | 0.712150i | −0.966985 | − | 0.254835i | \(-0.917979\pi\) |
0.254835 | + | 0.966985i | \(0.417979\pi\) | |||||||
\(728\) | 14.4777 | + | 28.4141i | 0.536580 | + | 1.05310i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 11.1347 | + | 1.49562i | 0.412115 | + | 0.0553552i | ||||
\(731\) | 2.75411 | + | 8.47627i | 0.101864 | + | 0.313506i | ||||
\(732\) | 5.75710 | − | 11.2990i | 0.212789 | − | 0.417621i | ||||
\(733\) | 2.67135 | − | 0.423100i | 0.0986686 | − | 0.0156276i | −0.106905 | − | 0.994269i | \(-0.534094\pi\) |
0.205573 | + | 0.978642i | \(0.434094\pi\) | |||||||
\(734\) | −24.2892 | + | 17.6471i | −0.896531 | + | 0.651368i | ||||
\(735\) | 16.6364 | + | 11.4982i | 0.613641 | + | 0.424116i | ||||
\(736\) | − | 28.9920i | − | 1.06866i | ||||||
\(737\) | −45.6745 | + | 1.59421i | −1.68244 | + | 0.0587233i | ||||
\(738\) | 6.42742 | + | 6.42742i | 0.236597 | + | 0.236597i | ||||
\(739\) | −2.74727 | + | 8.45522i | −0.101060 | + | 0.311030i | −0.988786 | − | 0.149343i | \(-0.952284\pi\) |
0.887726 | + | 0.460373i | \(0.152284\pi\) | |||||||
\(740\) | 49.1942 | − | 17.2756i | 1.80841 | − | 0.635064i | ||||
\(741\) | −23.3720 | − | 16.9807i | −0.858590 | − | 0.623802i | ||||
\(742\) | 25.8384 | + | 13.1653i | 0.948557 | + | 0.483314i | ||||
\(743\) | 39.4677 | + | 20.1098i | 1.44793 | + | 0.737758i | 0.988608 | − | 0.150512i | \(-0.0480921\pi\) |
0.459323 | + | 0.888269i | \(0.348092\pi\) | |||||||
\(744\) | −0.968518 | − | 0.703670i | −0.0355076 | − | 0.0257978i | ||||
\(745\) | −4.10598 | + | 8.55061i | −0.150431 | + | 0.313270i | ||||
\(746\) | 11.4826 | − | 35.3397i | 0.420407 | − | 1.29388i | ||||
\(747\) | 0.0345989 | + | 0.0345989i | 0.00126591 | + | 0.00126591i | ||||
\(748\) | −3.10136 | + | 10.8150i | −0.113397 | + | 0.395436i | ||||
\(749\) | 47.6662i | 1.74169i | ||||||||
\(750\) | −9.47104 | + | 22.3661i | −0.345834 | + | 0.816693i | ||||
\(751\) | −36.3237 | + | 26.3907i | −1.32547 | + | 0.963011i | −0.325624 | + | 0.945499i | \(0.605574\pi\) |
−0.999847 | + | 0.0175112i | \(0.994426\pi\) | |||||||
\(752\) | −8.44467 | + | 1.33750i | −0.307945 | + | 0.0487737i | ||||
\(753\) | −2.56331 | + | 5.03078i | −0.0934122 | + | 0.183332i | ||||
\(754\) | 13.2583 | + | 40.8050i | 0.482840 | + | 1.48603i | ||||
\(755\) | −0.591063 | + | 4.40042i | −0.0215110 | + | 0.160148i | ||||
\(756\) | 6.40280 | + | 8.81270i | 0.232868 | + | 0.320515i | ||||
\(757\) | −18.0839 | − | 35.4916i | −0.657270 | − | 1.28997i | −0.943363 | − | 0.331764i | \(-0.892356\pi\) |
0.286092 | − | 0.958202i | \(-0.407644\pi\) | |||||||
\(758\) | −0.564020 | + | 0.564020i | −0.0204861 | + | 0.0204861i | ||||
\(759\) | 1.54923 | − | 12.6157i | 0.0562336 | − | 0.457921i | ||||
\(760\) | −5.68055 | + | 18.9942i | −0.206055 | + | 0.688994i | ||||
\(761\) | −21.3924 | − | 6.95080i | −0.775472 | − | 0.251966i | −0.105566 | − | 0.994412i | \(-0.533666\pi\) |
−0.669906 | + | 0.742446i | \(0.733666\pi\) | |||||||
\(762\) | −1.35350 | + | 8.54568i | −0.0490322 | + | 0.309577i | ||||
\(763\) | 4.62299 | + | 29.1884i | 0.167364 | + | 1.05669i | ||||
\(764\) | 2.26629 | − | 0.736361i | 0.0819913 | − | 0.0266406i | ||||
\(765\) | −2.78844 | + | 0.0657050i | −0.100816 | + | 0.00237557i | ||||
\(766\) | 40.1834 | − | 55.3077i | 1.45189 | − | 1.99835i | ||||
\(767\) | 3.69049 | + | 0.584516i | 0.133256 | + | 0.0211056i | ||||
\(768\) | −0.634492 | + | 0.323290i | −0.0228952 | + | 0.0116657i | ||||
\(769\) | 30.3985 | 1.09620 | 0.548098 | − | 0.836414i | \(-0.315352\pi\) | ||||
0.548098 | + | 0.836414i | \(0.315352\pi\) | |||||||
\(770\) | −49.9041 | + | 40.9171i | −1.79842 | + | 1.47455i | ||||
\(771\) | 7.77921 | 0.280161 | ||||||||
\(772\) | 58.4565 | − | 29.7851i | 2.10390 | − | 1.07199i | ||||
\(773\) | 16.7233 | + | 2.64872i | 0.601497 | + | 0.0952677i | 0.449754 | − | 0.893152i | \(-0.351512\pi\) |
0.151743 | + | 0.988420i | \(0.451512\pi\) | |||||||
\(774\) | −9.12366 | + | 12.5576i | −0.327943 | + | 0.451375i | ||||
\(775\) | 3.69359 | + | 1.01048i | 0.132678 | + | 0.0362974i | ||||
\(776\) | 8.58176 | − | 2.78838i | 0.308067 | − | 0.100097i | ||||
\(777\) | 5.37250 | + | 33.9206i | 0.192737 | + | 1.21690i | ||||
\(778\) | −11.8615 | + | 74.8906i | −0.425256 | + | 2.68496i | ||||
\(779\) | −22.5709 | − | 7.33373i | −0.808686 | − | 0.262758i | ||||
\(780\) | −14.7074 | − | 27.2578i | −0.526610 | − | 0.975986i | ||||
\(781\) | 16.2897 | − | 34.9317i | 0.582890 | − | 1.24996i | ||||
\(782\) | 7.34340 | − | 7.34340i | 0.262600 | − | 0.262600i | ||||
\(783\) | 1.76038 | + | 3.45494i | 0.0629109 | + | 0.123470i | ||||
\(784\) | −10.8617 | − | 14.9498i | −0.387917 | − | 0.533922i | ||||
\(785\) | 6.57356 | − | 5.01675i | 0.234620 | − | 0.179056i | ||||
\(786\) | 4.08696 | + | 12.5784i | 0.145777 | + | 0.448655i | ||||
\(787\) | −5.35395 | + | 10.5077i | −0.190848 | + | 0.374560i | −0.966526 | − | 0.256569i | \(-0.917408\pi\) |
0.775678 | + | 0.631129i | \(0.217408\pi\) | |||||||
\(788\) | 5.87402 | − | 0.930353i | 0.209253 | − | 0.0331425i | ||||
\(789\) | −25.7065 | + | 18.6769i | −0.915176 | + | 0.664914i | ||||
\(790\) | 30.0158 | − | 43.4289i | 1.06791 | − | 1.54513i | ||||
\(791\) | 18.8488i | 0.670185i | ||||||||
\(792\) | −4.87173 | + | 1.77307i | −0.173110 | + | 0.0630034i | ||||
\(793\) | −16.7937 | − | 16.7937i | −0.596361 | − | 0.596361i | ||||
\(794\) | −7.69422 | + | 23.6804i | −0.273058 | + | 0.840385i | ||||
\(795\) | −6.71747 | − | 3.22571i | −0.238244 | − | 0.114404i | ||||
\(796\) | −6.24935 | − | 4.54042i | −0.221502 | − | 0.160931i | ||||
\(797\) | 32.7726 | + | 16.6985i | 1.16086 | + | 0.591490i | 0.924877 | − | 0.380267i | \(-0.124168\pi\) |
0.235987 | + | 0.971756i | \(0.424168\pi\) | |||||||
\(798\) | −43.9772 | − | 22.4075i | −1.55678 | − | 0.793218i | ||||
\(799\) | −4.22283 | − | 3.06807i | −0.149393 | − | 0.108540i | ||||
\(800\) | 25.4571 | − | 27.9766i | 0.900044 | − | 0.989123i | ||||
\(801\) | 1.54246 | − | 4.74721i | 0.0545002 | − | 0.167734i | ||||
\(802\) | 37.0468 | + | 37.0468i | 1.30817 | + | 1.30817i | ||||
\(803\) | −6.35907 | − | 4.28941i | −0.224407 | − | 0.151370i | ||||
\(804\) | − | 37.4745i | − | 1.32162i | ||||||
\(805\) | 33.7663 | − | 6.16671i | 1.19010 | − | 0.217348i | ||||
\(806\) | −6.85576 | + | 4.98100i | −0.241484 | + | 0.175448i | ||||
\(807\) | −26.7810 | + | 4.24170i | −0.942736 | + | 0.149315i | ||||
\(808\) | −2.37144 | + | 4.65421i | −0.0834269 | + | 0.163735i | ||||
\(809\) | −4.62822 | − | 14.2442i | −0.162719 | − | 0.500799i | 0.836142 | − | 0.548514i | \(-0.184806\pi\) |
−0.998861 | + | 0.0477147i | \(0.984806\pi\) | |||||||
\(810\) | −2.94709 | − | 3.86164i | −0.103550 | − | 0.135684i | ||||
\(811\) | −4.13735 | − | 5.69458i | −0.145282 | − | 0.199964i | 0.730174 | − | 0.683261i | \(-0.239439\pi\) |
−0.875456 | + | 0.483298i | \(0.839439\pi\) | |||||||
\(812\) | 19.1760 | + | 37.6350i | 0.672946 | + | 1.32073i | ||||
\(813\) | 15.4347 | − | 15.4347i | 0.541320 | − | 0.541320i | ||||
\(814\) | −61.3172 | − | 7.52987i | −2.14917 | − | 0.263922i | ||||
\(815\) | 7.95447 | + | 2.37892i | 0.278633 | + | 0.0833299i | ||||
\(816\) | 2.42392 | + | 0.787579i | 0.0848541 | + | 0.0275708i | ||||
\(817\) | 6.33977 | − | 40.0277i | 0.221801 | − | 1.40039i | ||||
\(818\) | −5.45553 | − | 34.4448i | −0.190748 | − | 1.20434i | ||||
\(819\) | 19.4026 | − | 6.30430i | 0.677983 | − | 0.220290i | ||||
\(820\) | −18.4103 | − | 17.5626i | −0.642915 | − | 0.613314i | ||||
\(821\) | 1.28819 | − | 1.77304i | 0.0449580 | − | 0.0618794i | −0.785946 | − | 0.618295i | \(-0.787824\pi\) |
0.830904 | + | 0.556416i | \(0.187824\pi\) | |||||||
\(822\) | 14.0007 | + | 2.21749i | 0.488329 | + | 0.0773438i | ||||
\(823\) | 25.6846 | − | 13.0870i | 0.895309 | − | 0.456183i | 0.0551219 | − | 0.998480i | \(-0.482445\pi\) |
0.840187 | + | 0.542297i | \(0.182445\pi\) | |||||||
\(824\) | 25.5949 | 0.891640 | ||||||||
\(825\) | 12.5725 | − | 10.8135i | 0.437718 | − | 0.376479i | ||||
\(826\) | 6.38371 | 0.222118 | ||||||||
\(827\) | 40.3331 | − | 20.5507i | 1.40252 | − | 0.714619i | 0.421192 | − | 0.906971i | \(-0.361612\pi\) |
0.981326 | + | 0.192353i | \(0.0616118\pi\) | |||||||
\(828\) | 10.2939 | + | 1.63039i | 0.357737 | + | 0.0566600i | ||||
\(829\) | −3.77021 | + | 5.18925i | −0.130945 | + | 0.180230i | −0.869455 | − | 0.494012i | \(-0.835530\pi\) |
0.738510 | + | 0.674242i | \(0.235530\pi\) | |||||||
\(830\) | −0.171985 | − | 0.164067i | −0.00596970 | − | 0.00569484i | ||||
\(831\) | 3.66511 | − | 1.19087i | 0.127141 | − | 0.0413107i | ||||
\(832\) | 9.83866 | + | 62.1189i | 0.341094 | + | 2.15358i | ||||
\(833\) | 1.76479 | − | 11.1425i | 0.0611465 | − | 0.386064i | ||||
\(834\) | −20.6451 | − | 6.70799i | −0.714881 | − | 0.232279i | ||||
\(835\) | −17.3552 | − | 5.19037i | −0.600603 | − | 0.179620i | ||||
\(836\) | 34.8917 | − | 37.4155i | 1.20675 | − | 1.29404i | ||||
\(837\) | −0.541547 | + | 0.541547i | −0.0187186 | + | 0.0187186i | ||||
\(838\) | −1.00498 | − | 1.97239i | −0.0347165 | − | 0.0681349i | ||||
\(839\) | −23.1815 | − | 31.9066i | −0.800314 | − | 1.10154i | −0.992746 | − | 0.120227i | \(-0.961638\pi\) |
0.192433 | − | 0.981310i | \(-0.438362\pi\) | |||||||
\(840\) | −8.49377 | − | 11.1296i | −0.293063 | − | 0.384007i | ||||
\(841\) | −4.31524 | − | 13.2810i | −0.148802 | − | 0.457964i | ||||
\(842\) | −3.02683 | + | 5.94049i | −0.104312 | + | 0.204723i | ||||
\(843\) | −27.3787 | + | 4.33636i | −0.942973 | + | 0.149352i | ||||
\(844\) | −42.0667 | + | 30.5633i | −1.44800 | + | 1.05203i | ||||
\(845\) | −28.4672 | + | 5.19894i | −0.979300 | + | 0.178849i | ||||
\(846\) | − | 9.09071i | − | 0.312545i | ||||||
\(847\) | 42.9316 | − | 9.91000i | 1.47515 | − | 0.340512i | ||||
\(848\) | 4.81478 | + | 4.81478i | 0.165340 | + | 0.165340i | ||||
\(849\) | −7.37528 | + | 22.6988i | −0.253119 | + | 0.779020i | ||||
\(850\) | 13.5343 | − | 0.638179i | 0.464222 | − | 0.0218893i | ||||
\(851\) | 26.5833 | + | 19.3139i | 0.911265 | + | 0.662073i | ||||
\(852\) | 28.1596 | + | 14.3480i | 0.964732 | + | 0.491555i | ||||
\(853\) | −38.8312 | − | 19.7855i | −1.32955 | − | 0.677442i | −0.362493 | − | 0.931986i | \(-0.618074\pi\) |
−0.967061 | + | 0.254545i | \(0.918074\pi\) | |||||||
\(854\) | −32.8267 | − | 23.8500i | −1.12331 | − | 0.816131i | ||||
\(855\) | 11.4332 | + | 5.49020i | 0.391008 | + | 0.187761i | ||||
\(856\) | 5.74823 | − | 17.6912i | 0.196471 | − | 0.604674i | ||||
\(857\) | −10.6030 | − | 10.6030i | −0.362190 | − | 0.362190i | 0.502428 | − | 0.864619i | \(-0.332440\pi\) |
−0.864619 | + | 0.502428i | \(0.832440\pi\) | |||||||
\(858\) | 1.28012 | + | 36.6757i | 0.0437025 | + | 1.25209i | ||||
\(859\) | − | 45.6295i | − | 1.55686i | −0.627733 | − | 0.778429i | \(-0.716017\pi\) | ||
0.627733 | − | 0.778429i | \(-0.283983\pi\) | |||||||
\(860\) | 24.7036 | − | 35.7428i | 0.842384 | − | 1.21882i | ||||
\(861\) | 13.5587 | − | 9.85095i | 0.462078 | − | 0.335720i | ||||
\(862\) | −7.19529 | + | 1.13962i | −0.245072 | + | 0.0388157i | ||||
\(863\) | −1.22146 | + | 2.39724i | −0.0415788 | + | 0.0816030i | −0.910861 | − | 0.412713i | \(-0.864581\pi\) |
0.869282 | + | 0.494316i | \(0.164581\pi\) | |||||||
\(864\) | 2.33773 | + | 7.19480i | 0.0795313 | + | 0.244772i | ||||
\(865\) | −35.3474 | + | 26.9761i | −1.20185 | + | 0.917215i | ||||
\(866\) | −1.64389 | − | 2.26262i | −0.0558615 | − | 0.0768868i | ||||
\(867\) | −7.01145 | − | 13.7608i | −0.238121 | − | 0.467340i | ||||
\(868\) | −5.89913 | + | 5.89913i | −0.200229 | + | 0.200229i | ||||
\(869\) | −31.5250 | + | 17.4739i | −1.06941 | + | 0.592761i | ||||
\(870\) | −8.94446 | − | 16.5771i | −0.303246 | − | 0.562017i | ||||
\(871\) | −66.7490 | − | 21.6881i | −2.26170 | − | 0.734872i | ||||
\(872\) | 1.80412 | − | 11.3907i | 0.0610951 | − | 0.385739i | ||||
\(873\) | −0.903033 | − | 5.70153i | −0.0305630 | − | 0.192967i | ||||
\(874\) | −44.9119 | + | 14.5928i | −1.51917 | + | 0.493607i | ||||
\(875\) | 37.9985 | + | 23.6985i | 1.28459 | + | 0.801156i | ||||
\(876\) | 3.69693 | − | 5.08838i | 0.124908 | − | 0.171921i | ||||
\(877\) | 24.0730 | + | 3.81279i | 0.812887 | + | 0.128749i | 0.549019 | − | 0.835810i | \(-0.315002\pi\) |
0.263868 | + | 0.964559i | \(0.415002\pi\) | |||||||
\(878\) | 57.6676 | − | 29.3831i | 1.94619 | − | 0.991631i | ||||
\(879\) | 12.9821 | 0.437877 | ||||||||
\(880\) | −14.1131 | + | 5.51634i | −0.475753 | + | 0.185956i | ||||
\(881\) | 12.4368 | 0.419006 | 0.209503 | − | 0.977808i | \(-0.432815\pi\) | ||||
0.209503 | + | 0.977808i | \(0.432815\pi\) | |||||||
\(882\) | 17.5063 | − | 8.91991i | 0.589468 | − | 0.300349i | ||||
\(883\) | 37.1233 | + | 5.87975i | 1.24930 | + | 0.197869i | 0.745825 | − | 0.666141i | \(-0.232055\pi\) |
0.503473 | + | 0.864011i | \(0.332055\pi\) | |||||||
\(884\) | −10.1556 | + | 13.9780i | −0.341571 | + | 0.470133i | ||||
\(885\) | −1.63995 | + | 0.0386427i | −0.0551264 | + | 0.00129896i | ||||
\(886\) | 6.95421 | − | 2.25956i | 0.233631 | − | 0.0759114i | ||||
\(887\) | 7.93686 | + | 50.1114i | 0.266494 | + | 1.68258i | 0.650705 | + | 0.759330i | \(0.274473\pi\) |
−0.384211 | + | 0.923245i | \(0.625527\pi\) | |||||||
\(888\) | 2.09661 | − | 13.2375i | 0.0703577 | − | 0.444221i | ||||
\(889\) | 15.1719 | + | 4.92966i | 0.508850 | + | 0.165335i | ||||
\(890\) | −6.94756 | + | 23.2308i | −0.232883 | + | 0.778699i | ||||
\(891\) | 0.632786 | + | 3.25570i | 0.0211991 | + | 0.109070i | ||||
\(892\) | −18.7819 | + | 18.7819i | −0.628864 | + | 0.628864i | ||||
\(893\) | 10.7755 | + | 21.1480i | 0.360587 | + | 0.707692i | ||||
\(894\) | 5.41672 | + | 7.45548i | 0.181162 | + | 0.249349i | ||||
\(895\) | 6.35023 | − | 47.2769i | 0.212265 | − | 1.58029i | ||||
\(896\) | 14.4768 | + | 44.5550i | 0.483635 | + | 1.48848i | ||||
\(897\) | 8.86154 | − | 17.3918i | 0.295878 | − | 0.580694i | ||||
\(898\) | 88.4541 | − | 14.0098i | 2.95175 | − | 0.467512i | ||||
\(899\) | −2.40253 | + | 1.74554i | −0.0801289 | + | 0.0582171i | ||||
\(900\) | 8.50177 | + | 10.6121i | 0.283392 | + | 0.353736i | ||||
\(901\) | 4.15695i | 0.138488i | ||||||||
\(902\) | 10.3105 | + | 28.3293i | 0.343302 | + | 0.943264i | ||||
\(903\) | 20.2369 | + | 20.2369i | 0.673441 | + | 0.673441i | ||||
\(904\) | 2.27304 | − | 6.99569i | 0.0756001 | − | 0.232673i | ||||
\(905\) | 8.32186 | − | 17.3301i | 0.276628 | − | 0.576072i | ||||
\(906\) | 3.48978 | + | 2.53548i | 0.115940 | + | 0.0842356i | ||||
\(907\) | 43.0157 | + | 21.9176i | 1.42831 | + | 0.727761i | 0.985630 | − | 0.168918i | \(-0.0540273\pi\) |
0.442681 | + | 0.896679i | \(0.354027\pi\) | |||||||
\(908\) | −56.2825 | − | 28.6774i | −1.86780 | − | 0.951692i | ||||
\(909\) | 2.70349 | + | 1.96420i | 0.0896690 | + | 0.0651483i | ||||
\(910\) | −93.5055 | + | 32.8365i | −3.09968 | + | 1.08852i | ||||
\(911\) | −9.96214 | + | 30.6603i | −0.330060 | + | 1.01582i | 0.639044 | + | 0.769170i | \(0.279330\pi\) |
−0.969104 | + | 0.246651i | \(0.920670\pi\) | |||||||
\(912\) | −8.19482 | − | 8.19482i | −0.271357 | − | 0.271357i | ||||
\(913\) | 0.0555016 | + | 0.152497i | 0.00183683 | + | 0.00504693i | ||||
\(914\) | − | 14.9627i | − | 0.494922i | ||||||
\(915\) | 8.57744 | + | 5.92827i | 0.283561 | + | 0.195983i | ||||
\(916\) | −1.58955 | + | 1.15488i | −0.0525203 | + | 0.0381582i | ||||
\(917\) | 24.0849 | − | 3.81468i | 0.795355 | − | 0.125972i | ||||
\(918\) | −1.23025 | + | 2.41450i | −0.0406043 | + | 0.0796905i | ||||
\(919\) | 6.16632 | + | 18.9780i | 0.203408 | + | 0.626026i | 0.999775 | + | 0.0212122i | \(0.00675256\pi\) |
−0.796367 | + | 0.604814i | \(0.793247\pi\) | |||||||
\(920\) | −13.2760 | − | 1.78323i | −0.437696 | − | 0.0587912i | ||||
\(921\) | −0.314973 | − | 0.433523i | −0.0103787 | − | 0.0142851i | ||||
\(922\) | −0.931023 | − | 1.82724i | −0.0306616 | − | 0.0601768i | ||||
\(923\) | 41.8537 | − | 41.8537i | 1.37763 | − | 1.37763i | ||||
\(924\) | 6.89300 | + | 35.4646i | 0.226763 | + | 1.16670i | ||||
\(925\) | 8.69330 | + | 41.9796i | 0.285834 | + | 1.38028i | ||||
\(926\) | −47.8542 | − | 15.5488i | −1.57259 | − | 0.510964i | ||||
\(927\) | 2.56145 | − | 16.1724i | 0.0841292 | − | 0.531171i | ||||
\(928\) | 4.58886 | + | 28.9729i | 0.150637 | + | 0.951083i | ||||
\(929\) | −2.36893 | + | 0.769713i | −0.0777222 | + | 0.0252535i | −0.347620 | − | 0.937635i | \(-0.613010\pi\) |
0.269898 | + | 0.962889i | \(0.413010\pi\) | |||||||
\(930\) | 2.56800 | − | 2.69194i | 0.0842079 | − | 0.0882721i | ||||
\(931\) | −30.1525 | + | 41.5013i | −0.988208 | + | 1.36015i | ||||
\(932\) | −40.4038 | − | 6.39933i | −1.32347 | − | 0.209617i | ||||
\(933\) | 18.1471 | − | 9.24643i | 0.594111 | − | 0.302715i | ||||
\(934\) | 44.6559 | 1.46119 | ||||||||
\(935\) | −8.47377 | − | 3.71111i | −0.277122 | − | 0.121366i | ||||
\(936\) | −7.96152 | −0.260230 | ||||||||
\(937\) | 13.8306 | − | 7.04703i | 0.451825 | − | 0.230216i | −0.213243 | − | 0.976999i | \(-0.568403\pi\) |
0.665068 | + | 0.746783i | \(0.268403\pi\) | |||||||
\(938\) | −118.432 | − | 18.7577i | −3.86693 | − | 0.612462i | ||||
\(939\) | 3.01968 | − | 4.15623i | 0.0985434 | − | 0.135633i | ||||
\(940\) | 0.599437 | + | 25.4394i | 0.0195515 | + | 0.829742i | ||||
\(941\) | 8.61830 | − | 2.80026i | 0.280949 | − | 0.0912858i | −0.165153 | − | 0.986268i | \(-0.552812\pi\) |
0.446102 | + | 0.894982i | \(0.352812\pi\) | |||||||
\(942\) | −1.25678 | − | 7.93501i | −0.0409482 | − | 0.258536i | ||||
\(943\) | 2.50842 | − | 15.8375i | 0.0816853 | − | 0.515741i | ||||
\(944\) | 1.42556 | + | 0.463194i | 0.0463982 | + | 0.0150757i | ||||
\(945\) | −7.88237 | + | 4.25307i | −0.256414 | + | 0.138352i | ||||
\(946\) | −45.0267 | + | 24.9577i | −1.46394 | + | 0.811445i | ||||
\(947\) | 0.626498 | − | 0.626498i | 0.0203585 | − | 0.0203585i | −0.696854 | − | 0.717213i | \(-0.745418\pi\) |
0.717213 | + | 0.696854i | \(0.245418\pi\) | |||||||
\(948\) | −13.4176 | − | 26.3336i | −0.435785 | − | 0.855276i | ||||
\(949\) | −6.92379 | − | 9.52979i | −0.224756 | − | 0.309350i | ||||
\(950\) | −56.1525 | − | 25.3542i | −1.82183 | − | 0.822600i | ||||
\(951\) | −8.29208 | − | 25.5204i | −0.268889 | − | 0.827556i | ||||
\(952\) | −3.54569 | + | 6.95880i | −0.114916 | + | 0.225536i | ||||
\(953\) | 39.6892 | − | 6.28614i | 1.28566 | − | 0.203628i | 0.524062 | − | 0.851680i | \(-0.324416\pi\) |
0.761596 | + | 0.648052i | \(0.224416\pi\) | |||||||
\(954\) | −5.85713 | + | 4.25545i | −0.189631 | + | 0.137775i | ||||
\(955\) | 0.352002 | + | 1.92741i | 0.0113905 | + | 0.0623696i | ||||
\(956\) | − | 10.9441i | − | 0.353956i | ||||||
\(957\) | 0.448604 | + | 12.8526i | 0.0145013 | + | 0.415467i | ||||
\(958\) | −15.8929 | − | 15.8929i | −0.513475 | − | 0.513475i | ||||
\(959\) | 8.07643 | − | 24.8567i | 0.260801 | − | 0.802664i | ||||
\(960\) | −9.14869 | − | 26.0519i | −0.295273 | − | 0.840821i | ||||
\(961\) | 24.6050 | + | 17.8766i | 0.793710 | + | 0.576664i | ||||
\(962\) | −84.5307 | − | 43.0705i | −2.72538 | − | 1.38865i | ||||
\(963\) | −10.6031 | − | 5.40257i | −0.341681 | − | 0.174095i | ||||
\(964\) | 55.0159 | + | 39.9714i | 1.77194 | + | 1.28739i | ||||
\(965\) | 17.8735 | + | 50.8969i | 0.575369 | + | 1.63843i | ||||
\(966\) | 10.3052 | − | 31.7160i | 0.331563 | − | 1.02045i | ||||
\(967\) | −12.8842 | − | 12.8842i | −0.414326 | − | 0.414326i | 0.468916 | − | 0.883243i | \(-0.344645\pi\) |
−0.883243 | + | 0.468916i | \(0.844645\pi\) | |||||||
\(968\) | −17.1291 | − | 1.49919i | −0.550550 | − | 0.0481858i | ||||
\(969\) | − | 7.07519i | − | 0.227288i | ||||||
\(970\) | 5.03793 | + | 27.5855i | 0.161758 | + | 0.885718i | ||||
\(971\) | 19.2161 | − | 13.9613i | 0.616673 | − | 0.448039i | −0.235085 | − | 0.971975i | \(-0.575537\pi\) |
0.851758 | + | 0.523936i | \(0.175537\pi\) | |||||||
\(972\) | −2.68605 | + | 0.425428i | −0.0861551 | + | 0.0136456i | ||||
\(973\) | −18.1704 | + | 35.6615i | −0.582517 | + | 1.14325i | ||||
\(974\) | −6.58259 | − | 20.2591i | −0.210920 | − | 0.649144i | ||||
\(975\) | 23.8224 | − | 9.00158i | 0.762928 | − | 0.288281i | ||||
\(976\) | −5.60010 | − | 7.70788i | −0.179255 | − | 0.246723i | ||||
\(977\) | 22.5312 | + | 44.2200i | 0.720838 | + | 1.41472i | 0.902204 | + | 0.431309i | \(0.141948\pi\) |
−0.181366 | + | 0.983416i | \(0.558052\pi\) | |||||||
\(978\) | 5.70378 | − | 5.70378i | 0.182387 | − | 0.182387i | ||||
\(979\) | 11.2907 | − | 12.1073i | 0.360851 | − | 0.386952i | ||||
\(980\) | −48.4014 | + | 26.1158i | −1.54613 | + | 0.834238i | ||||
\(981\) | −7.01681 | − | 2.27990i | −0.224030 | − | 0.0727916i | ||||
\(982\) | 3.65410 | − | 23.0711i | 0.116607 | − | 0.736229i | ||||
\(983\) | 4.66247 | + | 29.4377i | 0.148710 | + | 0.938916i | 0.943341 | + | 0.331824i | \(0.107664\pi\) |
−0.794632 | + | 0.607092i | \(0.792336\pi\) | |||||||
\(984\) | −6.22024 | + | 2.02108i | −0.198294 | + | 0.0644296i | ||||
\(985\) | 0.115192 | + | 4.88861i | 0.00367032 | + | 0.155764i | ||||
\(986\) | −6.17626 | + | 8.50090i | −0.196692 | + | 0.270724i | ||||
\(987\) | −16.5549 | − | 2.62203i | −0.526947 | − | 0.0834603i | ||||
\(988\) | 70.0023 | − | 35.6680i | 2.22707 | − | 1.13475i | ||||
\(989\) | 27.3821 | 0.870699 | ||||||||
\(990\) | −3.44562 | − | 15.7385i | −0.109509 | − | 0.500204i | ||||
\(991\) | 30.9346 | 0.982669 | 0.491335 | − | 0.870971i | \(-0.336509\pi\) | ||||
0.491335 | + | 0.870971i | \(0.336509\pi\) | |||||||
\(992\) | −5.16232 | + | 2.63033i | −0.163904 | + | 0.0835131i | ||||
\(993\) | −32.7811 | − | 5.19201i | −1.04028 | − | 0.164763i | ||||
\(994\) | 59.4398 | − | 81.8118i | 1.88531 | − | 2.59491i | ||||
\(995\) | 4.38406 | − | 4.59565i | 0.138984 | − | 0.145692i | ||||
\(996\) | −0.126555 | + | 0.0411201i | −0.00401004 | + | 0.00130294i | ||||
\(997\) | 3.19720 | + | 20.1863i | 0.101256 | + | 0.639307i | 0.985160 | + | 0.171638i | \(0.0549060\pi\) |
−0.883904 | + | 0.467669i | \(0.845094\pi\) | |||||||
\(998\) | 0.527299 | − | 3.32923i | 0.0166913 | − | 0.105385i | ||||
\(999\) | −8.15442 | − | 2.64953i | −0.257994 | − | 0.0838275i |
(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 | 165.2.w.a.13.2 | ✓ | 96 | |
3.2 | odd | 2 | 495.2.bj.c.343.11 | 96 | |||
5.2 | odd | 4 | inner | 165.2.w.a.112.2 | yes | 96 | |
5.3 | odd | 4 | 825.2.cw.b.607.11 | 96 | |||
5.4 | even | 2 | 825.2.cw.b.343.11 | 96 | |||
11.6 | odd | 10 | inner | 165.2.w.a.28.2 | yes | 96 | |
15.2 | even | 4 | 495.2.bj.c.442.11 | 96 | |||
33.17 | even | 10 | 495.2.bj.c.28.11 | 96 | |||
55.17 | even | 20 | inner | 165.2.w.a.127.2 | yes | 96 | |
55.28 | even | 20 | 825.2.cw.b.457.11 | 96 | |||
55.39 | odd | 10 | 825.2.cw.b.193.11 | 96 | |||
165.17 | odd | 20 | 495.2.bj.c.127.11 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.w.a.13.2 | ✓ | 96 | 1.1 | even | 1 | trivial | |
165.2.w.a.28.2 | yes | 96 | 11.6 | odd | 10 | inner | |
165.2.w.a.112.2 | yes | 96 | 5.2 | odd | 4 | inner | |
165.2.w.a.127.2 | yes | 96 | 55.17 | even | 20 | inner | |
495.2.bj.c.28.11 | 96 | 33.17 | even | 10 | |||
495.2.bj.c.127.11 | 96 | 165.17 | odd | 20 | |||
495.2.bj.c.343.11 | 96 | 3.2 | odd | 2 | |||
495.2.bj.c.442.11 | 96 | 15.2 | even | 4 | |||
825.2.cw.b.193.11 | 96 | 55.39 | odd | 10 | |||
825.2.cw.b.343.11 | 96 | 5.4 | even | 2 | |||
825.2.cw.b.457.11 | 96 | 55.28 | even | 20 | |||
825.2.cw.b.607.11 | 96 | 5.3 | odd | 4 |