Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), degree \(6\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Character | \(\chi\) | \(=\) | 171.14 |
Dual form | 171.2.x.a.110.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.80901 | − | 1.51794i | −1.27916 | − | 1.07335i | −0.993359 | − | 0.115058i | \(-0.963295\pi\) |
−0.285805 | − | 0.958288i | \(-0.592261\pi\) | |||||||
\(3\) | −0.419122 | − | 1.68058i | −0.241980 | − | 0.970281i | ||||
\(4\) | 0.621081 | + | 3.52233i | 0.310540 | + | 1.76116i | ||||
\(5\) | −1.22473 | − | 3.36492i | −0.547716 | − | 1.50484i | −0.836786 | − | 0.547529i | \(-0.815568\pi\) |
0.289070 | − | 0.957308i | \(-0.406654\pi\) | |||||||
\(6\) | −1.79282 | + | 3.67638i | −0.731915 | + | 1.50088i | ||||
\(7\) | 0.850912 | − | 1.47382i | 0.321614 | − | 0.557052i | −0.659207 | − | 0.751962i | \(-0.729108\pi\) |
0.980821 | + | 0.194909i | \(0.0624412\pi\) | |||||||
\(8\) | 1.86164 | − | 3.22446i | 0.658190 | − | 1.14002i | ||||
\(9\) | −2.64867 | + | 1.40873i | −0.882891 | + | 0.469578i | ||||
\(10\) | −2.89220 | + | 7.94624i | −0.914592 | + | 2.51282i | ||||
\(11\) | 0.0685816i | 0.0206781i | 0.999947 | + | 0.0103391i | \(0.00329108\pi\) | ||||
−0.999947 | + | 0.0103391i | \(0.996709\pi\) | |||||||
\(12\) | 5.65923 | − | 2.52006i | 1.63368 | − | 0.727478i | ||||
\(13\) | 0.947862 | − | 2.60423i | 0.262890 | − | 0.722283i | −0.736080 | − | 0.676895i | \(-0.763325\pi\) |
0.998969 | − | 0.0453885i | \(-0.0144526\pi\) | |||||||
\(14\) | −3.77648 | + | 1.37453i | −1.00931 | + | 0.367358i | ||||
\(15\) | −5.14169 | + | 3.46856i | −1.32758 | + | 0.895579i | ||||
\(16\) | −1.54034 | + | 0.560636i | −0.385084 | + | 0.140159i | ||||
\(17\) | 2.40059 | + | 6.59558i | 0.582230 | + | 1.59966i | 0.784361 | + | 0.620304i | \(0.212991\pi\) |
−0.202132 | + | 0.979358i | \(0.564787\pi\) | |||||||
\(18\) | 6.92985 | + | 1.47211i | 1.63338 | + | 0.346980i | ||||
\(19\) | −3.88520 | + | 1.97616i | −0.891326 | + | 0.453363i | ||||
\(20\) | 11.0917 | − | 6.40378i | 2.48018 | − | 1.43193i | ||||
\(21\) | −2.83351 | − | 0.812310i | −0.618322 | − | 0.177261i | ||||
\(22\) | 0.104103 | − | 0.124065i | 0.0221948 | − | 0.0264507i | ||||
\(23\) | 2.95636 | − | 0.521285i | 0.616443 | − | 0.108696i | 0.143297 | − | 0.989680i | \(-0.454229\pi\) |
0.473146 | + | 0.880984i | \(0.343118\pi\) | |||||||
\(24\) | −6.19920 | − | 1.77719i | −1.26541 | − | 0.362767i | ||||
\(25\) | −5.99249 | + | 5.02830i | −1.19850 | + | 1.00566i | ||||
\(26\) | −5.66776 | + | 3.27228i | −1.11154 | + | 0.641747i | ||||
\(27\) | 3.47760 | + | 3.86087i | 0.669265 | + | 0.743024i | ||||
\(28\) | 5.71977 | + | 2.08182i | 1.08093 | + | 0.393428i | ||||
\(29\) | −1.00498 | − | 5.69952i | −0.186620 | − | 1.05837i | −0.923856 | − | 0.382739i | \(-0.874981\pi\) |
0.737236 | − | 0.675635i | \(-0.236130\pi\) | |||||||
\(30\) | 14.5664 | + | 1.53011i | 2.65946 | + | 0.279358i | ||||
\(31\) | − | 2.56914i | − | 0.461432i | −0.973021 | − | 0.230716i | \(-0.925893\pi\) | ||
0.973021 | − | 0.230716i | \(-0.0741068\pi\) | |||||||
\(32\) | −3.35999 | − | 1.22294i | −0.593967 | − | 0.216186i | ||||
\(33\) | 0.115257 | − | 0.0287441i | 0.0200636 | − | 0.00500370i | ||||
\(34\) | 5.66899 | − | 15.5754i | 0.972224 | − | 2.67116i | ||||
\(35\) | −6.00143 | − | 1.05821i | −1.01443 | − | 0.178871i | ||||
\(36\) | −6.60706 | − | 8.45455i | −1.10118 | − | 1.40909i | ||||
\(37\) | − | 7.77355i | − | 1.27796i | −0.769221 | − | 0.638982i | \(-0.779356\pi\) | ||
0.769221 | − | 0.638982i | \(-0.220644\pi\) | |||||||
\(38\) | 10.0281 | + | 2.32260i | 1.62677 | + | 0.376775i | ||||
\(39\) | −4.77388 | − | 0.501464i | −0.764432 | − | 0.0802985i | ||||
\(40\) | −13.1300 | − | 2.31518i | −2.07604 | − | 0.366062i | ||||
\(41\) | −8.32894 | − | 6.98881i | −1.30076 | − | 1.09147i | −0.990013 | − | 0.140977i | \(-0.954976\pi\) |
−0.310749 | − | 0.950492i | \(-0.600580\pi\) | |||||||
\(42\) | 3.89281 | + | 5.77057i | 0.600673 | + | 0.890419i | ||||
\(43\) | 0.683977 | − | 3.87902i | 0.104305 | − | 0.591546i | −0.887190 | − | 0.461404i | \(-0.847346\pi\) |
0.991495 | − | 0.130141i | \(-0.0415431\pi\) | |||||||
\(44\) | −0.241567 | + | 0.0425947i | −0.0364175 | + | 0.00642139i | ||||
\(45\) | 7.98418 | + | 7.18725i | 1.19021 | + | 1.07141i | ||||
\(46\) | −6.13936 | − | 3.54456i | −0.905200 | − | 0.522617i | ||||
\(47\) | −0.713950 | + | 0.125889i | −0.104140 | + | 0.0183627i | −0.225475 | − | 0.974249i | \(-0.572394\pi\) |
0.121335 | + | 0.992612i | \(0.461282\pi\) | |||||||
\(48\) | 1.58778 | + | 2.35368i | 0.229176 | + | 0.339724i | ||||
\(49\) | 2.05190 | + | 3.55399i | 0.293128 | + | 0.507713i | ||||
\(50\) | 18.4731 | 2.61250 | ||||||||
\(51\) | 10.0782 | − | 6.79873i | 1.41123 | − | 0.952013i | ||||
\(52\) | 9.76164 | + | 1.72124i | 1.35370 | + | 0.238693i | ||||
\(53\) | 6.47151 | − | 5.43024i | 0.888930 | − | 0.745901i | −0.0790654 | − | 0.996869i | \(-0.525194\pi\) |
0.967995 | + | 0.250969i | \(0.0807492\pi\) | |||||||
\(54\) | −0.430456 | − | 12.2631i | −0.0585776 | − | 1.66880i | ||||
\(55\) | 0.230771 | − | 0.0839939i | 0.0311172 | − | 0.0113257i | ||||
\(56\) | −3.16818 | − | 5.48746i | −0.423366 | − | 0.733292i | ||||
\(57\) | 4.94947 | + | 5.70112i | 0.655573 | + | 0.755132i | ||||
\(58\) | −6.83351 | + | 11.8360i | −0.897284 | + | 1.55414i | ||||
\(59\) | −1.93552 | + | 10.9769i | −0.251983 | + | 1.42907i | 0.551716 | + | 0.834032i | \(0.313973\pi\) |
−0.803699 | + | 0.595036i | \(0.797138\pi\) | |||||||
\(60\) | −15.4108 | − | 15.9564i | −1.98953 | − | 2.05997i | ||||
\(61\) | −1.83166 | − | 0.666669i | −0.234520 | − | 0.0853582i | 0.222087 | − | 0.975027i | \(-0.428713\pi\) |
−0.456607 | + | 0.889669i | \(0.650935\pi\) | |||||||
\(62\) | −3.89981 | + | 4.64761i | −0.495276 | + | 0.590247i | ||||
\(63\) | −0.177564 | + | 5.10238i | −0.0223710 | + | 0.642840i | ||||
\(64\) | 5.86110 | + | 10.1517i | 0.732638 | + | 1.26897i | ||||
\(65\) | −9.92389 | −1.23091 | ||||||||
\(66\) | −0.252132 | − | 0.122954i | −0.0310353 | − | 0.0151346i | ||||
\(67\) | −5.17654 | − | 6.16916i | −0.632415 | − | 0.753683i | 0.350737 | − | 0.936474i | \(-0.385931\pi\) |
−0.983152 | + | 0.182791i | \(0.941487\pi\) | |||||||
\(68\) | −21.7408 | + | 12.5521i | −2.63646 | + | 1.52216i | ||||
\(69\) | −2.11513 | − | 4.74990i | −0.254632 | − | 0.571821i | ||||
\(70\) | 9.25034 | + | 11.0241i | 1.10563 | + | 1.31764i | ||||
\(71\) | 4.92220 | + | 4.13021i | 0.584157 | + | 0.490166i | 0.886309 | − | 0.463093i | \(-0.153261\pi\) |
−0.302152 | + | 0.953260i | \(0.597705\pi\) | |||||||
\(72\) | −0.388478 | + | 11.1631i | −0.0457826 | + | 1.31558i | ||||
\(73\) | 1.28461 | − | 7.28540i | 0.150353 | − | 0.852692i | −0.812560 | − | 0.582878i | \(-0.801927\pi\) |
0.962912 | − | 0.269814i | \(-0.0869623\pi\) | |||||||
\(74\) | −11.7998 | + | 14.0624i | −1.37170 | + | 1.63473i | ||||
\(75\) | 10.9620 | + | 7.96337i | 1.26579 | + | 0.919530i | ||||
\(76\) | −9.37372 | − | 12.4576i | −1.07524 | − | 1.42898i | ||||
\(77\) | 0.101077 | + | 0.0583569i | 0.0115188 | + | 0.00665038i | ||||
\(78\) | 7.87480 | + | 8.15361i | 0.891645 | + | 0.923215i | ||||
\(79\) | 3.66753 | + | 10.0764i | 0.412629 | + | 1.13369i | 0.955787 | + | 0.294058i | \(0.0950060\pi\) |
−0.543159 | + | 0.839630i | \(0.682772\pi\) | |||||||
\(80\) | 3.77299 | + | 4.49647i | 0.421833 | + | 0.502721i | ||||
\(81\) | 5.03094 | − | 7.46255i | 0.558993 | − | 0.829172i | ||||
\(82\) | 4.45854 | + | 25.2857i | 0.492364 | + | 2.79233i | ||||
\(83\) | −0.302529 | − | 0.174665i | −0.0332069 | − | 0.0191720i | 0.483305 | − | 0.875452i | \(-0.339436\pi\) |
−0.516512 | + | 0.856280i | \(0.672770\pi\) | |||||||
\(84\) | 1.10138 | − | 10.4850i | 0.120171 | − | 1.14401i | ||||
\(85\) | 19.2535 | − | 16.1556i | 2.08834 | − | 1.75232i | ||||
\(86\) | −7.12545 | + | 5.97896i | −0.768357 | + | 0.644728i | ||||
\(87\) | −9.15727 | + | 4.07774i | −0.981762 | + | 0.437179i | ||||
\(88\) | 0.221138 | + | 0.127674i | 0.0235734 | + | 0.0136101i | ||||
\(89\) | −0.881834 | − | 5.00113i | −0.0934743 | − | 0.530119i | −0.995204 | − | 0.0978191i | \(-0.968813\pi\) |
0.901730 | − | 0.432300i | \(-0.142298\pi\) | |||||||
\(90\) | −3.53366 | − | 25.1213i | −0.372480 | − | 2.64802i | ||||
\(91\) | −3.03162 | − | 3.61295i | −0.317801 | − | 0.378740i | ||||
\(92\) | 3.67227 | + | 10.0895i | 0.382861 | + | 1.05190i | ||||
\(93\) | −4.31764 | + | 1.07678i | −0.447719 | + | 0.111657i | ||||
\(94\) | 1.48263 | + | 0.855999i | 0.152922 | + | 0.0882896i | ||||
\(95\) | 11.4080 | + | 10.6531i | 1.17043 | + | 1.09299i | ||||
\(96\) | −0.646991 | + | 6.15927i | −0.0660332 | + | 0.628628i | ||||
\(97\) | 2.44747 | − | 2.91678i | 0.248503 | − | 0.296154i | −0.627345 | − | 0.778741i | \(-0.715859\pi\) |
0.875848 | + | 0.482587i | \(0.160303\pi\) | |||||||
\(98\) | 1.68284 | − | 9.54387i | 0.169993 | − | 0.964077i | ||||
\(99\) | −0.0966132 | − | 0.181650i | −0.00970999 | − | 0.0182565i | ||||
\(100\) | −21.4331 | − | 17.9845i | −2.14331 | − | 1.79845i | ||||
\(101\) | −3.71031 | − | 4.42177i | −0.369189 | − | 0.439983i | 0.549182 | − | 0.835703i | \(-0.314939\pi\) |
−0.918371 | + | 0.395720i | \(0.870495\pi\) | |||||||
\(102\) | −28.5517 | − | 2.99917i | −2.82704 | − | 0.296962i | ||||
\(103\) | −9.35292 | + | 5.39991i | −0.921571 | + | 0.532069i | −0.884136 | − | 0.467230i | \(-0.845252\pi\) |
−0.0374351 | + | 0.999299i | \(0.511919\pi\) | |||||||
\(104\) | −6.63265 | − | 7.90448i | −0.650384 | − | 0.775098i | ||||
\(105\) | 0.736923 | + | 10.5294i | 0.0719163 | + | 1.02756i | ||||
\(106\) | −19.9498 | −1.93770 | ||||||||
\(107\) | 5.99297 | + | 10.3801i | 0.579362 | + | 1.00348i | 0.995553 | + | 0.0942068i | \(0.0300315\pi\) |
−0.416191 | + | 0.909277i | \(0.636635\pi\) | |||||||
\(108\) | −11.4394 | + | 14.6472i | −1.10075 | + | 1.40942i | ||||
\(109\) | 1.67453 | − | 1.99563i | 0.160391 | − | 0.191146i | −0.679864 | − | 0.733338i | \(-0.737961\pi\) |
0.840255 | + | 0.542192i | \(0.182406\pi\) | |||||||
\(110\) | −0.544966 | − | 0.198351i | −0.0519604 | − | 0.0189121i | ||||
\(111\) | −13.0641 | + | 3.25807i | −1.23998 | + | 0.309242i | ||||
\(112\) | −0.484411 | + | 2.74723i | −0.0457725 | + | 0.259589i | ||||
\(113\) | 9.89206 | − | 17.1335i | 0.930567 | − | 1.61179i | 0.148212 | − | 0.988956i | \(-0.452648\pi\) |
0.782355 | − | 0.622833i | \(-0.214018\pi\) | |||||||
\(114\) | −0.299681 | − | 17.8264i | −0.0280677 | − | 1.66959i | ||||
\(115\) | −5.37482 | − | 9.30947i | −0.501205 | − | 0.868112i | ||||
\(116\) | 19.4514 | − | 7.07973i | 1.80602 | − | 0.657336i | ||||
\(117\) | 1.15809 | + | 8.23304i | 0.107065 | + | 0.761144i | ||||
\(118\) | 20.1636 | − | 16.9193i | 1.85621 | − | 1.55755i | ||||
\(119\) | 11.7634 | + | 2.07421i | 1.07835 | + | 0.190142i | ||||
\(120\) | 1.61225 | + | 23.0364i | 0.147178 | + | 2.10292i | ||||
\(121\) | 10.9953 | 0.999572 | ||||||||
\(122\) | 2.30152 | + | 3.98636i | 0.208370 | + | 0.360908i | ||||
\(123\) | −8.25438 | + | 16.9266i | −0.744273 | + | 1.52622i | ||||
\(124\) | 9.04936 | − | 1.59565i | 0.812656 | − | 0.143293i | ||||
\(125\) | 8.75336 | + | 5.05376i | 0.782924 | + | 0.452022i | ||||
\(126\) | 8.06632 | − | 8.96073i | 0.718605 | − | 0.798285i | ||||
\(127\) | 1.09837 | − | 0.193673i | 0.0974648 | − | 0.0171857i | −0.124703 | − | 0.992194i | \(-0.539798\pi\) |
0.222168 | + | 0.975008i | \(0.428687\pi\) | |||||||
\(128\) | 3.56512 | − | 20.2188i | 0.315115 | − | 1.78710i | ||||
\(129\) | −6.80567 | + | 0.476310i | −0.599206 | + | 0.0419368i | ||||
\(130\) | 17.9524 | + | 15.0639i | 1.57453 | + | 1.32119i | ||||
\(131\) | 0.0109927 | + | 0.00193831i | 0.000960439 | + | 0.000169351i | 0.174128 | − | 0.984723i | \(-0.444289\pi\) |
−0.173168 | + | 0.984892i | \(0.555400\pi\) | |||||||
\(132\) | 0.172830 | + | 0.388119i | 0.0150429 | + | 0.0337814i | ||||
\(133\) | −0.393447 | + | 7.40763i | −0.0341162 | + | 0.642323i | ||||
\(134\) | 19.0178i | 1.64288i | ||||||||
\(135\) | 8.73237 | − | 16.4304i | 0.751563 | − | 1.41410i | ||||
\(136\) | 25.7362 | + | 4.53799i | 2.20686 | + | 0.389129i | ||||
\(137\) | −1.11583 | + | 3.06570i | −0.0953314 | + | 0.261921i | −0.978188 | − | 0.207722i | \(-0.933395\pi\) |
0.882857 | + | 0.469643i | \(0.155617\pi\) | |||||||
\(138\) | −3.38376 | + | 11.8033i | −0.288045 | + | 1.00476i | ||||
\(139\) | 8.02855 | + | 2.92215i | 0.680973 | + | 0.247854i | 0.659265 | − | 0.751911i | \(-0.270868\pi\) |
0.0217075 | + | 0.999764i | \(0.493090\pi\) | |||||||
\(140\) | − | 21.7962i | − | 1.84212i | ||||||
\(141\) | 0.510798 | + | 1.14708i | 0.0430169 | + | 0.0966019i | ||||
\(142\) | −2.63489 | − | 14.9432i | −0.221115 | − | 1.25401i | ||||
\(143\) | 0.178602 | + | 0.0650059i | 0.0149355 | + | 0.00543606i | ||||
\(144\) | 3.29006 | − | 3.65486i | 0.274171 | − | 0.304572i | ||||
\(145\) | −17.9476 | + | 10.3620i | −1.49047 | + | 0.860521i | ||||
\(146\) | −13.3827 | + | 11.2294i | −1.10756 | + | 0.929352i | ||||
\(147\) | 5.11276 | − | 4.93793i | 0.421693 | − | 0.407274i | ||||
\(148\) | 27.3810 | − | 4.82801i | 2.25070 | − | 0.396860i | ||||
\(149\) | 0.600370 | − | 0.715493i | 0.0491842 | − | 0.0586155i | −0.740891 | − | 0.671625i | \(-0.765597\pi\) |
0.790076 | + | 0.613009i | \(0.210041\pi\) | |||||||
\(150\) | −7.74250 | − | 31.0455i | −0.632172 | − | 2.53486i | ||||
\(151\) | −10.8642 | + | 6.27247i | −0.884119 | + | 0.510447i | −0.872014 | − | 0.489480i | \(-0.837187\pi\) |
−0.0121050 | + | 0.999927i | \(0.503853\pi\) | |||||||
\(152\) | −0.860791 | + | 16.2066i | −0.0698194 | + | 1.31453i | ||||
\(153\) | −15.6498 | − | 14.0877i | −1.26521 | − | 1.13893i | ||||
\(154\) | −0.0942672 | − | 0.258997i | −0.00759627 | − | 0.0208706i | ||||
\(155\) | −8.64496 | + | 3.14651i | −0.694380 | + | 0.252734i | ||||
\(156\) | −1.19864 | − | 17.1266i | −0.0959683 | − | 1.37122i | ||||
\(157\) | −10.9534 | + | 3.98670i | −0.874174 | + | 0.318173i | −0.739856 | − | 0.672765i | \(-0.765106\pi\) |
−0.134318 | + | 0.990938i | \(0.542884\pi\) | |||||||
\(158\) | 8.66085 | − | 23.7955i | 0.689020 | − | 1.89307i | ||||
\(159\) | −11.8383 | − | 8.59993i | −0.938837 | − | 0.682019i | ||||
\(160\) | 12.8038i | 1.01223i | ||||||||
\(161\) | 1.74732 | − | 4.80071i | 0.137708 | − | 0.378349i | ||||
\(162\) | −20.4287 | + | 5.86317i | −1.60503 | + | 0.460654i | ||||
\(163\) | 8.85463 | − | 15.3367i | 0.693548 | − | 1.20126i | −0.277120 | − | 0.960835i | \(-0.589380\pi\) |
0.970668 | − | 0.240425i | \(-0.0772868\pi\) | |||||||
\(164\) | 19.4439 | − | 33.6778i | 1.51831 | − | 2.62980i | ||||
\(165\) | −0.237880 | − | 0.352625i | −0.0185189 | − | 0.0274518i | ||||
\(166\) | 0.282147 | + | 0.775192i | 0.0218989 | + | 0.0601666i | ||||
\(167\) | 0.198247 | + | 1.12432i | 0.0153408 | + | 0.0870022i | 0.991517 | − | 0.129978i | \(-0.0414905\pi\) |
−0.976176 | + | 0.216980i | \(0.930379\pi\) | |||||||
\(168\) | −7.89423 | + | 7.62429i | −0.609053 | + | 0.588227i | ||||
\(169\) | 4.07501 | + | 3.41934i | 0.313462 | + | 0.263026i | ||||
\(170\) | −59.3530 | −4.55217 | ||||||||
\(171\) | 7.50673 | − | 10.7074i | 0.574054 | − | 0.818817i | ||||
\(172\) | 14.0880 | 1.07420 | ||||||||
\(173\) | 0.683168 | + | 0.573246i | 0.0519403 | + | 0.0435831i | 0.668388 | − | 0.743813i | \(-0.266984\pi\) |
−0.616448 | + | 0.787396i | \(0.711429\pi\) | |||||||
\(174\) | 22.7554 | + | 6.52351i | 1.72508 | + | 0.494546i | ||||
\(175\) | 2.31173 | + | 13.1105i | 0.174751 | + | 0.991061i | ||||
\(176\) | −0.0384493 | − | 0.105639i | −0.00289823 | − | 0.00796281i | ||||
\(177\) | 19.2587 | − | 1.34786i | 1.44757 | − | 0.101312i | ||||
\(178\) | −5.99617 | + | 10.3857i | −0.449432 | + | 0.778439i | ||||
\(179\) | 7.40214 | − | 12.8209i | 0.553262 | − | 0.958278i | −0.444774 | − | 0.895643i | \(-0.646716\pi\) |
0.998036 | − | 0.0626353i | \(-0.0199505\pi\) | |||||||
\(180\) | −20.3570 | + | 32.5868i | −1.51732 | + | 2.42887i | ||||
\(181\) | 2.14356 | − | 5.88939i | 0.159330 | − | 0.437755i | −0.834181 | − | 0.551490i | \(-0.814059\pi\) |
0.993511 | + | 0.113735i | \(0.0362816\pi\) | |||||||
\(182\) | 11.1377i | 0.825580i | ||||||||
\(183\) | −0.352699 | + | 3.35765i | −0.0260723 | + | 0.248205i | ||||
\(184\) | 3.82281 | − | 10.5031i | 0.281822 | − | 0.774298i | ||||
\(185\) | −26.1574 | + | 9.52051i | −1.92313 | + | 0.699962i | ||||
\(186\) | 9.44515 | + | 4.60601i | 0.692552 | + | 0.337729i | ||||
\(187\) | −0.452335 | + | 0.164637i | −0.0330780 | + | 0.0120394i | ||||
\(188\) | −0.886841 | − | 2.43658i | −0.0646795 | − | 0.177706i | ||||
\(189\) | 8.64936 | − | 1.84011i | 0.629148 | − | 0.133848i | ||||
\(190\) | −4.46632 | − | 36.5882i | −0.324021 | − | 2.65439i | ||||
\(191\) | 16.6733 | − | 9.62632i | 1.20644 | − | 0.696536i | 0.244457 | − | 0.969660i | \(-0.421390\pi\) |
0.961979 | + | 0.273124i | \(0.0880570\pi\) | |||||||
\(192\) | 14.6042 | − | 14.1048i | 1.05397 | − | 1.01793i | ||||
\(193\) | −8.89893 | + | 10.6053i | −0.640559 | + | 0.763388i | −0.984458 | − | 0.175618i | \(-0.943808\pi\) |
0.343900 | + | 0.939006i | \(0.388252\pi\) | |||||||
\(194\) | −8.85498 | + | 1.56137i | −0.635751 | + | 0.112100i | ||||
\(195\) | 4.15932 | + | 16.6779i | 0.297855 | + | 1.19433i | ||||
\(196\) | −11.2439 | + | 9.43477i | −0.803137 | + | 0.673912i | ||||
\(197\) | 10.1316 | − | 5.84947i | 0.721845 | − | 0.416757i | −0.0935863 | − | 0.995611i | \(-0.529833\pi\) |
0.815431 | + | 0.578854i | \(0.196500\pi\) | |||||||
\(198\) | −0.100960 | + | 0.475260i | −0.00717491 | + | 0.0337753i | ||||
\(199\) | −5.06800 | − | 1.84460i | −0.359261 | − | 0.130760i | 0.156083 | − | 0.987744i | \(-0.450113\pi\) |
−0.515343 | + | 0.856984i | \(0.672336\pi\) | |||||||
\(200\) | 5.05766 | + | 28.6834i | 0.357630 | + | 2.02822i | ||||
\(201\) | −8.19814 | + | 11.2852i | −0.578252 | + | 0.795997i | ||||
\(202\) | 13.6311i | 0.959078i | ||||||||
\(203\) | −9.25523 | − | 3.36863i | −0.649590 | − | 0.236431i | ||||
\(204\) | 30.2067 | + | 31.2762i | 2.11490 | + | 2.18977i | ||||
\(205\) | −13.3161 | + | 36.5856i | −0.930035 | + | 2.55525i | ||||
\(206\) | 25.1163 | + | 4.42868i | 1.74993 | + | 0.308561i | ||||
\(207\) | −7.09607 | + | 5.54543i | −0.493211 | + | 0.385434i | ||||
\(208\) | 4.54279i | 0.314986i | ||||||||
\(209\) | −0.135528 | − | 0.266453i | −0.00937470 | − | 0.0184309i | ||||
\(210\) | 14.6499 | − | 20.1664i | 1.01094 | − | 1.39161i | ||||
\(211\) | −1.39187 | − | 0.245425i | −0.0958204 | − | 0.0168957i | 0.125532 | − | 0.992090i | \(-0.459936\pi\) |
−0.221353 | + | 0.975194i | \(0.571047\pi\) | |||||||
\(212\) | 23.1464 | + | 19.4221i | 1.58970 | + | 1.33392i | ||||
\(213\) | 4.87814 | − | 10.0032i | 0.334245 | − | 0.685408i | ||||
\(214\) | 4.91506 | − | 27.8747i | 0.335987 | − | 1.90548i | ||||
\(215\) | −13.8903 | + | 2.44923i | −0.947310 | + | 0.167036i | ||||
\(216\) | 18.9232 | − | 4.02583i | 1.28756 | − | 0.273923i | ||||
\(217\) | −3.78646 | − | 2.18611i | −0.257042 | − | 0.148403i | ||||
\(218\) | −6.05848 | + | 1.06827i | −0.410332 | + | 0.0723526i | ||||
\(219\) | −12.7821 | + | 0.894584i | −0.863733 | + | 0.0604504i | ||||
\(220\) | 0.439182 | + | 0.760685i | 0.0296096 | + | 0.0512854i | ||||
\(221\) | 19.4518 | 1.30847 | ||||||||
\(222\) | 28.5786 | + | 13.9366i | 1.91807 | + | 0.935361i | ||||
\(223\) | 7.70442 | + | 1.35850i | 0.515926 | + | 0.0909716i | 0.425548 | − | 0.904936i | \(-0.360081\pi\) |
0.0903779 | + | 0.995908i | \(0.471193\pi\) | |||||||
\(224\) | −4.66144 | + | 3.91141i | −0.311456 | + | 0.261342i | ||||
\(225\) | 8.78862 | − | 21.7601i | 0.585908 | − | 1.45068i | ||||
\(226\) | −43.9025 | + | 15.9792i | −2.92035 | + | 1.06292i | ||||
\(227\) | 13.4006 | + | 23.2105i | 0.889428 | + | 1.54053i | 0.840553 | + | 0.541730i | \(0.182231\pi\) |
0.0488758 | + | 0.998805i | \(0.484436\pi\) | |||||||
\(228\) | −17.0072 | + | 20.9745i | −1.12633 | + | 1.38907i | ||||
\(229\) | 4.04261 | − | 7.00201i | 0.267143 | − | 0.462706i | −0.700980 | − | 0.713181i | \(-0.747254\pi\) |
0.968123 | + | 0.250476i | \(0.0805870\pi\) | |||||||
\(230\) | −4.40810 | + | 24.9996i | −0.290662 | + | 1.64842i | ||||
\(231\) | 0.0557095 | − | 0.194326i | 0.00366542 | − | 0.0127857i | ||||
\(232\) | −20.2488 | − | 7.36995i | −1.32940 | − | 0.483861i | ||||
\(233\) | 5.38901 | − | 6.42237i | 0.353046 | − | 0.420743i | −0.560069 | − | 0.828446i | \(-0.689225\pi\) |
0.913115 | + | 0.407702i | \(0.133670\pi\) | |||||||
\(234\) | 10.4023 | − | 16.6516i | 0.680017 | − | 1.08855i | ||||
\(235\) | 1.29800 | + | 2.24820i | 0.0846722 | + | 0.146657i | ||||
\(236\) | −39.8662 | −2.59507 | ||||||||
\(237\) | 15.3971 | − | 10.3868i | 1.00015 | − | 0.674696i | ||||
\(238\) | −18.1316 | − | 21.6084i | −1.17530 | − | 1.40066i | ||||
\(239\) | −17.2827 | + | 9.97818i | −1.11793 | + | 0.645435i | −0.940871 | − | 0.338766i | \(-0.889991\pi\) |
−0.177056 | + | 0.984201i | \(0.556657\pi\) | |||||||
\(240\) | 5.97532 | − | 8.22537i | 0.385706 | − | 0.530945i | ||||
\(241\) | 4.31692 | + | 5.14471i | 0.278078 | + | 0.331400i | 0.886948 | − | 0.461870i | \(-0.152821\pi\) |
−0.608870 | + | 0.793270i | \(0.708377\pi\) | |||||||
\(242\) | −19.8906 | − | 16.6902i | −1.27862 | − | 1.07289i | ||||
\(243\) | −14.6500 | − | 5.32716i | −0.939796 | − | 0.341737i | ||||
\(244\) | 1.21062 | − | 6.86575i | 0.0775018 | − | 0.439534i | ||||
\(245\) | 9.44587 | − | 11.2572i | 0.603475 | − | 0.719193i | ||||
\(246\) | 40.6258 | − | 18.0907i | 2.59021 | − | 1.15342i | ||||
\(247\) | 1.46375 | + | 11.9911i | 0.0931363 | + | 0.762974i | ||||
\(248\) | −8.28409 | − | 4.78282i | −0.526040 | − | 0.303710i | ||||
\(249\) | −0.166742 | + | 0.581629i | −0.0105668 | + | 0.0368593i | ||||
\(250\) | −8.16363 | − | 22.4294i | −0.516313 | − | 1.41856i | ||||
\(251\) | 15.1000 | + | 17.9955i | 0.953103 | + | 1.13586i | 0.990631 | + | 0.136568i | \(0.0436073\pi\) |
−0.0375279 | + | 0.999296i | \(0.511948\pi\) | |||||||
\(252\) | −18.0825 | + | 2.54355i | −1.13909 | + | 0.160229i | ||||
\(253\) | 0.0357506 | + | 0.202752i | 0.00224762 | + | 0.0127469i | ||||
\(254\) | −2.28095 | − | 1.31691i | −0.143120 | − | 0.0826302i | ||||
\(255\) | −35.2203 | − | 25.5858i | −2.20558 | − | 1.60225i | ||||
\(256\) | −19.1808 | + | 16.0946i | −1.19880 | + | 1.00591i | ||||
\(257\) | 6.19757 | − | 5.20038i | 0.386594 | − | 0.324391i | −0.428691 | − | 0.903451i | \(-0.641025\pi\) |
0.815285 | + | 0.579061i | \(0.196581\pi\) | |||||||
\(258\) | 13.0345 | + | 9.46894i | 0.811495 | + | 0.589511i | ||||
\(259\) | −11.4568 | − | 6.61461i | −0.711893 | − | 0.411012i | ||||
\(260\) | −6.16354 | − | 34.9552i | −0.382247 | − | 2.16783i | ||||
\(261\) | 10.6910 | + | 13.6804i | 0.661754 | + | 0.846797i | ||||
\(262\) | −0.0169437 | − | 0.0201927i | −0.00104679 | − | 0.00124751i | ||||
\(263\) | −6.23810 | − | 17.1390i | −0.384658 | − | 1.05684i | −0.969372 | − | 0.245599i | \(-0.921015\pi\) |
0.584714 | − | 0.811240i | \(-0.301207\pi\) | |||||||
\(264\) | 0.121882 | − | 0.425151i | 0.00750134 | − | 0.0261662i | ||||
\(265\) | −26.1982 | − | 15.1255i | −1.60934 | − | 0.929153i | ||||
\(266\) | 11.9561 | − | 12.8033i | 0.733075 | − | 0.785018i | ||||
\(267\) | −8.03519 | + | 3.57808i | −0.491745 | + | 0.218975i | ||||
\(268\) | 18.5147 | − | 22.0650i | 1.13097 | − | 1.34783i | ||||
\(269\) | −1.90392 | + | 10.7977i | −0.116084 | + | 0.658347i | 0.870123 | + | 0.492834i | \(0.164039\pi\) |
−0.986208 | + | 0.165513i | \(0.947072\pi\) | |||||||
\(270\) | −40.7373 | + | 16.4675i | −2.47919 | + | 1.00218i | ||||
\(271\) | 7.63501 | + | 6.40653i | 0.463794 | + | 0.389169i | 0.844525 | − | 0.535517i | \(-0.179883\pi\) |
−0.380731 | + | 0.924686i | \(0.624328\pi\) | |||||||
\(272\) | −7.39544 | − | 8.81354i | −0.448414 | − | 0.534399i | ||||
\(273\) | −4.80121 | + | 6.60914i | −0.290583 | + | 0.400003i | ||||
\(274\) | 6.67210 | − | 3.85214i | 0.403076 | − | 0.232716i | ||||
\(275\) | −0.344848 | − | 0.410974i | −0.0207951 | − | 0.0247827i | ||||
\(276\) | 15.4170 | − | 10.4003i | 0.927996 | − | 0.626022i | ||||
\(277\) | −5.65714 | −0.339905 | −0.169952 | − | 0.985452i | \(-0.554361\pi\) | ||||
−0.169952 | + | 0.985452i | \(0.554361\pi\) | |||||||
\(278\) | −10.0881 | − | 17.4731i | −0.605043 | − | 1.04796i | ||||
\(279\) | 3.61924 | + | 6.80482i | 0.216678 | + | 0.407394i | ||||
\(280\) | −14.5847 | + | 17.3813i | −0.871601 | + | 1.03873i | ||||
\(281\) | 8.00493 | + | 2.91356i | 0.477534 | + | 0.173808i | 0.569562 | − | 0.821948i | \(-0.307113\pi\) |
−0.0920282 | + | 0.995756i | \(0.529335\pi\) | |||||||
\(282\) | 0.817167 | − | 2.85045i | 0.0486616 | − | 0.169742i | ||||
\(283\) | 2.85192 | − | 16.1740i | 0.169529 | − | 0.961446i | −0.774742 | − | 0.632277i | \(-0.782120\pi\) |
0.944271 | − | 0.329169i | \(-0.106769\pi\) | |||||||
\(284\) | −11.4909 | + | 19.9028i | −0.681858 | + | 1.18101i | ||||
\(285\) | 13.1220 | − | 23.6369i | 0.777283 | − | 1.40013i | ||||
\(286\) | −0.224418 | − | 0.388704i | −0.0132701 | − | 0.0229845i | ||||
\(287\) | −17.3875 | + | 6.32852i | −1.02635 | + | 0.373560i | ||||
\(288\) | 10.6223 | − | 1.49417i | 0.625925 | − | 0.0880448i | ||||
\(289\) | −24.7160 | + | 20.7392i | −1.45388 | + | 1.21995i | ||||
\(290\) | 48.1963 | + | 8.49832i | 2.83019 | + | 0.499038i | ||||
\(291\) | −5.92765 | − | 2.89067i | −0.347485 | − | 0.169454i | ||||
\(292\) | 26.4594 | 1.54842 | ||||||||
\(293\) | 11.7033 | + | 20.2707i | 0.683714 | + | 1.18423i | 0.973839 | + | 0.227238i | \(0.0729696\pi\) |
−0.290125 | + | 0.956989i | \(0.593697\pi\) | |||||||
\(294\) | −16.7445 | + | 1.17190i | −0.976560 | + | 0.0683468i | ||||
\(295\) | 39.3068 | − | 6.93085i | 2.28853 | − | 0.403530i | ||||
\(296\) | −25.0655 | − | 14.4716i | −1.45690 | − | 0.841143i | ||||
\(297\) | −0.264784 | + | 0.238499i | −0.0153643 | + | 0.0138391i | ||||
\(298\) | −2.17215 | + | 0.383009i | −0.125829 | + | 0.0221871i | ||||
\(299\) | 1.44467 | − | 8.19314i | 0.0835475 | − | 0.473821i | ||||
\(300\) | −21.2413 | + | 43.5577i | −1.22636 | + | 2.51480i | ||||
\(301\) | −5.13499 | − | 4.30877i | −0.295976 | − | 0.248353i | ||||
\(302\) | 29.1748 | + | 5.14430i | 1.67882 | + | 0.296021i | ||||
\(303\) | −5.87605 | + | 8.08872i | −0.337571 | + | 0.464685i | ||||
\(304\) | 4.87660 | − | 5.22214i | 0.279692 | − | 0.299510i | ||||
\(305\) | 6.97986i | 0.399666i | ||||||||
\(306\) | 6.92632 | + | 49.2403i | 0.395951 | + | 2.81488i | ||||
\(307\) | 0.718463 | + | 0.126684i | 0.0410048 | + | 0.00723026i | 0.194113 | − | 0.980979i | \(-0.437817\pi\) |
−0.153108 | + | 0.988209i | \(0.548928\pi\) | |||||||
\(308\) | −0.142775 | + | 0.392271i | −0.00813535 | + | 0.0223517i | ||||
\(309\) | 12.9950 | + | 13.4551i | 0.739259 | + | 0.765433i | ||||
\(310\) | 20.4150 | + | 7.43046i | 1.15950 | + | 0.422022i | ||||
\(311\) | − | 4.00327i | − | 0.227005i | −0.993538 | − | 0.113502i | \(-0.963793\pi\) | ||
0.993538 | − | 0.113502i | \(-0.0362069\pi\) | |||||||
\(312\) | −10.5042 | + | 14.4596i | −0.594683 | + | 0.818614i | ||||
\(313\) | −0.440938 | − | 2.50068i | −0.0249233 | − | 0.141347i | 0.969807 | − | 0.243874i | \(-0.0784183\pi\) |
−0.994730 | + | 0.102527i | \(0.967307\pi\) | |||||||
\(314\) | 25.8663 | + | 9.41457i | 1.45972 | + | 0.531295i | ||||
\(315\) | 17.3866 | − | 5.65155i | 0.979622 | − | 0.318429i | ||||
\(316\) | −33.2147 | + | 19.1765i | −1.86847 | + | 1.07876i | ||||
\(317\) | 24.5334 | − | 20.5860i | 1.37793 | − | 1.15622i | 0.407964 | − | 0.912998i | \(-0.366239\pi\) |
0.969970 | − | 0.243226i | \(-0.0782055\pi\) | |||||||
\(318\) | 8.36140 | + | 33.5272i | 0.468884 | + | 1.88011i | ||||
\(319\) | 0.390882 | − | 0.0689230i | 0.0218852 | − | 0.00385895i | ||||
\(320\) | 26.9815 | − | 32.1552i | 1.50831 | − | 1.79753i | ||||
\(321\) | 14.9328 | − | 14.4222i | 0.833468 | − | 0.804967i | ||||
\(322\) | −10.4481 | + | 6.03222i | −0.582250 | + | 0.336162i | ||||
\(323\) | −22.3607 | − | 20.8812i | −1.24418 | − | 1.16186i | ||||
\(324\) | 29.4101 | + | 13.0858i | 1.63390 | + | 0.726986i | ||||
\(325\) | 7.41478 | + | 20.3719i | 0.411298 | + | 1.13003i | ||||
\(326\) | −39.2983 | + | 14.3034i | −2.17653 | + | 0.792192i | ||||
\(327\) | −4.05563 | − | 1.97776i | −0.224277 | − | 0.109371i | ||||
\(328\) | −38.0406 | + | 13.8456i | −2.10044 | + | 0.764498i | ||||
\(329\) | −0.421971 | + | 1.15935i | −0.0232640 | + | 0.0639173i | ||||
\(330\) | −0.104937 | + | 0.998990i | −0.00577661 | + | 0.0549926i | ||||
\(331\) | − | 25.6998i | − | 1.41259i | −0.707919 | − | 0.706293i | \(-0.750366\pi\) | ||
0.707919 | − | 0.706293i | \(-0.249634\pi\) | |||||||
\(332\) | 0.427333 | − | 1.17409i | 0.0234529 | − | 0.0644364i | ||||
\(333\) | 10.9509 | + | 20.5896i | 0.600104 | + | 1.12830i | ||||
\(334\) | 1.34801 | − | 2.33483i | 0.0737600 | − | 0.127756i | ||||
\(335\) | −14.4189 | + | 24.9742i | −0.787786 | + | 1.36449i | ||||
\(336\) | 4.81996 | − | 0.337336i | 0.262950 | − | 0.0184032i | ||||
\(337\) | −4.70694 | − | 12.9322i | −0.256404 | − | 0.704463i | −0.999382 | − | 0.0351479i | \(-0.988810\pi\) |
0.742979 | − | 0.669315i | \(-0.233412\pi\) | |||||||
\(338\) | −2.18138 | − | 12.3712i | −0.118652 | − | 0.672907i | ||||
\(339\) | −32.9402 | − | 9.44331i | −1.78907 | − | 0.512890i | ||||
\(340\) | 68.8633 | + | 57.7832i | 3.73464 | + | 3.13373i | ||||
\(341\) | 0.176196 | 0.00954154 | ||||||||
\(342\) | −29.8330 | + | 7.97507i | −1.61318 | + | 0.431242i | ||||
\(343\) | 18.8967 | 1.02033 | ||||||||
\(344\) | −11.2344 | − | 9.42681i | −0.605720 | − | 0.508259i | ||||
\(345\) | −13.3926 | + | 12.9346i | −0.721031 | + | 0.696376i | ||||
\(346\) | −0.365705 | − | 2.07402i | −0.0196604 | − | 0.111500i | ||||
\(347\) | 0.882518 | + | 2.42470i | 0.0473761 | + | 0.130165i | 0.961124 | − | 0.276117i | \(-0.0890476\pi\) |
−0.913748 | + | 0.406281i | \(0.866825\pi\) | |||||||
\(348\) | −20.0505 | − | 29.7223i | −1.07482 | − | 1.59328i | ||||
\(349\) | 2.91543 | − | 5.04967i | 0.156059 | − | 0.270303i | −0.777385 | − | 0.629025i | \(-0.783454\pi\) |
0.933444 | + | 0.358723i | \(0.116788\pi\) | |||||||
\(350\) | 15.7190 | − | 27.2261i | 0.840216 | − | 1.45530i | ||||
\(351\) | 13.3509 | − | 5.39690i | 0.712616 | − | 0.288065i | ||||
\(352\) | 0.0838708 | − | 0.230433i | 0.00447033 | − | 0.0122821i | ||||
\(353\) | − | 15.5640i | − | 0.828389i | −0.910188 | − | 0.414195i | \(-0.864063\pi\) | ||
0.910188 | − | 0.414195i | \(-0.135937\pi\) | |||||||
\(354\) | −36.8852 | − | 26.7953i | −1.96042 | − | 1.42415i | ||||
\(355\) | 7.86947 | − | 21.6212i | 0.417668 | − | 1.14753i | ||||
\(356\) | 17.0679 | − | 6.21222i | 0.904598 | − | 0.329247i | ||||
\(357\) | −1.44444 | − | 20.6386i | −0.0764480 | − | 1.09231i | ||||
\(358\) | −32.8519 | + | 11.9571i | −1.73628 | + | 0.631953i | ||||
\(359\) | 3.60821 | + | 9.91347i | 0.190434 | + | 0.523213i | 0.997760 | − | 0.0668923i | \(-0.0213084\pi\) |
−0.807326 | + | 0.590105i | \(0.799086\pi\) | |||||||
\(360\) | 38.0387 | − | 12.3646i | 2.00481 | − | 0.651670i | ||||
\(361\) | 11.1896 | − | 15.3556i | 0.588924 | − | 0.808189i | ||||
\(362\) | −12.8175 | + | 7.40017i | −0.673671 | + | 0.388944i | ||||
\(363\) | −4.60837 | − | 18.4784i | −0.241877 | − | 0.969866i | ||||
\(364\) | 10.8431 | − | 12.9223i | 0.568333 | − | 0.677312i | ||||
\(365\) | −26.0881 | + | 4.60003i | −1.36551 | + | 0.240777i | ||||
\(366\) | 5.73476 | − | 5.53866i | 0.299761 | − | 0.289510i | ||||
\(367\) | 8.48054 | − | 7.11602i | 0.442681 | − | 0.371453i | −0.394031 | − | 0.919097i | \(-0.628920\pi\) |
0.836711 | + | 0.547644i | \(0.184475\pi\) | |||||||
\(368\) | −4.26153 | + | 2.46039i | −0.222148 | + | 0.128257i | ||||
\(369\) | 31.9060 | + | 6.77782i | 1.66096 | + | 0.352839i | ||||
\(370\) | 61.7705 | + | 22.4826i | 3.21130 | + | 1.16882i | ||||
\(371\) | −2.49653 | − | 14.1585i | −0.129613 | − | 0.735073i | ||||
\(372\) | −6.47439 | − | 14.5394i | −0.335682 | − | 0.753831i | ||||
\(373\) | 31.3106i | 1.62120i | 0.585599 | + | 0.810601i | \(0.300859\pi\) | ||||
−0.585599 | + | 0.810601i | \(0.699141\pi\) | |||||||
\(374\) | 1.06819 | + | 0.388788i | 0.0552347 | + | 0.0201038i | ||||
\(375\) | 4.82449 | − | 16.8288i | 0.249136 | − | 0.869037i | ||||
\(376\) | −0.923196 | + | 2.53646i | −0.0476102 | + | 0.130808i | ||||
\(377\) | −15.7954 | − | 2.78516i | −0.813506 | − | 0.143443i | ||||
\(378\) | −18.4400 | − | 9.80043i | −0.948450 | − | 0.504080i | ||||
\(379\) | 27.4978i | 1.41247i | 0.707979 | + | 0.706234i | \(0.249607\pi\) | ||||
−0.707979 | + | 0.706234i | \(0.750393\pi\) | |||||||
\(380\) | −30.4385 | + | 46.7990i | −1.56146 | + | 2.40074i | ||||
\(381\) | −0.785834 | − | 1.76473i | −0.0402595 | − | 0.0904097i | ||||
\(382\) | −44.7743 | − | 7.89492i | −2.29085 | − | 0.403939i | ||||
\(383\) | −14.5449 | − | 12.2046i | −0.743211 | − | 0.623628i | 0.190487 | − | 0.981690i | \(-0.438993\pi\) |
−0.933698 | + | 0.358062i | \(0.883438\pi\) | |||||||
\(384\) | −35.4734 | + | 2.48269i | −1.81024 | + | 0.126694i | ||||
\(385\) | 0.0725740 | − | 0.411587i | 0.00369871 | − | 0.0209764i | ||||
\(386\) | 32.1965 | − | 5.67711i | 1.63876 | − | 0.288957i | ||||
\(387\) | 3.65288 | + | 11.2378i | 0.185686 | + | 0.571250i | ||||
\(388\) | 11.7939 | + | 6.80922i | 0.598745 | + | 0.345686i | ||||
\(389\) | −27.3570 | + | 4.82378i | −1.38706 | + | 0.244575i | −0.816813 | − | 0.576902i | \(-0.804262\pi\) |
−0.570242 | + | 0.821477i | \(0.693150\pi\) | |||||||
\(390\) | 17.7917 | − | 36.4840i | 0.900919 | − | 1.84744i | ||||
\(391\) | 10.5352 | + | 18.2475i | 0.532788 | + | 0.922815i | ||||
\(392\) | 15.2796 | 0.771736 | ||||||||
\(393\) | −0.00134981 | − | 0.0192865i | −6.80890e−5 | − | 0.000972876i | ||||
\(394\) | −27.2073 | − | 4.79738i | −1.37068 | − | 0.241688i | ||||
\(395\) | 29.4147 | − | 24.6818i | 1.48001 | − | 1.24188i | ||||
\(396\) | 0.579826 | − | 0.453122i | 0.0291374 | − | 0.0227703i | ||||
\(397\) | 15.9016 | − | 5.78772i | 0.798080 | − | 0.290477i | 0.0893892 | − | 0.995997i | \(-0.471509\pi\) |
0.708690 | + | 0.705520i | \(0.249286\pi\) | |||||||
\(398\) | 6.36807 | + | 11.0298i | 0.319203 | + | 0.552875i | ||||
\(399\) | 12.6140 | − | 2.44349i | 0.631490 | − | 0.122327i | ||||
\(400\) | 6.41140 | − | 11.1049i | 0.320570 | − | 0.555243i | ||||
\(401\) | −0.579010 | + | 3.28373i | −0.0289144 | + | 0.163982i | −0.995846 | − | 0.0910545i | \(-0.970976\pi\) |
0.966932 | + | 0.255036i | \(0.0820874\pi\) | |||||||
\(402\) | 31.9608 | − | 7.97076i | 1.59406 | − | 0.397545i | ||||
\(403\) | −6.69064 | − | 2.43519i | −0.333284 | − | 0.121306i | ||||
\(404\) | 13.2705 | − | 15.8152i | 0.660233 | − | 0.786835i | ||||
\(405\) | −31.2724 | − | 7.78909i | −1.55394 | − | 0.387043i | ||||
\(406\) | 11.6294 | + | 20.1428i | 0.577159 | + | 0.999669i | ||||
\(407\) | 0.533123 | 0.0264259 | ||||||||
\(408\) | −3.16018 | − | 45.1536i | −0.156452 | − | 2.23544i | ||||
\(409\) | 14.4682 | + | 17.2425i | 0.715405 | + | 0.852587i | 0.994176 | − | 0.107771i | \(-0.0343714\pi\) |
−0.278771 | + | 0.960358i | \(0.589927\pi\) | |||||||
\(410\) | 79.6237 | − | 45.9708i | 3.93233 | − | 2.27033i | ||||
\(411\) | 5.61982 | + | 0.590324i | 0.277205 | + | 0.0291186i | ||||
\(412\) | −24.8292 | − | 29.5903i | −1.22325 | − | 1.45781i | ||||
\(413\) | 14.5310 | + | 12.1930i | 0.715024 | + | 0.599977i | ||||
\(414\) | 21.2545 | + | 0.739662i | 1.04460 | + | 0.0363524i | ||||
\(415\) | −0.217218 | + | 1.23190i | −0.0106628 | + | 0.0604718i | ||||
\(416\) | −6.36961 | + | 7.59100i | −0.312296 | + | 0.372179i | ||||
\(417\) | 1.54596 | − | 14.7173i | 0.0757059 | − | 0.720711i | ||||
\(418\) | −0.159287 | + | 0.687741i | −0.00779100 | + | 0.0336385i | ||||
\(419\) | 6.84253 | + | 3.95053i | 0.334279 | + | 0.192996i | 0.657739 | − | 0.753246i | \(-0.271513\pi\) |
−0.323460 | + | 0.946242i | \(0.604846\pi\) | |||||||
\(420\) | −36.6302 | + | 9.13528i | −1.78737 | + | 0.445756i | ||||
\(421\) | −0.951687 | − | 2.61474i | −0.0463824 | − | 0.127435i | 0.914339 | − | 0.404950i | \(-0.132711\pi\) |
−0.960721 | + | 0.277516i | \(0.910489\pi\) | |||||||
\(422\) | 2.14537 | + | 2.55675i | 0.104435 | + | 0.124461i | ||||
\(423\) | 1.71368 | − | 1.33920i | 0.0833218 | − | 0.0651143i | ||||
\(424\) | −5.46195 | − | 30.9762i | −0.265256 | − | 1.50434i | ||||
\(425\) | −47.5501 | − | 27.4530i | −2.30652 | − | 1.33167i | ||||
\(426\) | −24.0089 | + | 10.6912i | −1.16323 | + | 0.517989i | ||||
\(427\) | −2.54113 | + | 2.13226i | −0.122974 | + | 0.103187i | ||||
\(428\) | −32.8400 | + | 27.5561i | −1.58738 | + | 1.33197i | ||||
\(429\) | 0.0343912 | − | 0.327400i | 0.00166042 | − | 0.0158070i | ||||
\(430\) | 28.8455 | + | 16.6539i | 1.39105 | + | 0.803124i | ||||
\(431\) | 2.52762 | + | 14.3348i | 0.121751 | + | 0.690485i | 0.983185 | + | 0.182614i | \(0.0584560\pi\) |
−0.861434 | + | 0.507870i | \(0.830433\pi\) | |||||||
\(432\) | −7.52121 | − | 3.99736i | −0.361865 | − | 0.192323i | ||||
\(433\) | −21.0433 | − | 25.0784i | −1.01128 | − | 1.20519i | −0.978610 | − | 0.205725i | \(-0.934045\pi\) |
−0.0326658 | − | 0.999466i | \(-0.510400\pi\) | |||||||
\(434\) | 3.53136 | + | 9.70232i | 0.169511 | + | 0.465726i | ||||
\(435\) | 24.9364 | + | 25.8193i | 1.19561 | + | 1.23794i | ||||
\(436\) | 8.06926 | + | 4.65879i | 0.386448 | + | 0.223116i | ||||
\(437\) | −10.4559 | + | 7.86754i | −0.500173 | + | 0.376356i | ||||
\(438\) | 24.4809 | + | 17.7841i | 1.16974 | + | 0.849759i | ||||
\(439\) | −1.20863 | + | 1.44038i | −0.0576845 | + | 0.0687458i | −0.794115 | − | 0.607767i | \(-0.792065\pi\) |
0.736431 | + | 0.676513i | \(0.236510\pi\) | |||||||
\(440\) | 0.158779 | − | 0.900479i | 0.00756948 | − | 0.0429287i | ||||
\(441\) | −10.4414 | − | 6.52279i | −0.497211 | − | 0.310609i | ||||
\(442\) | −35.1886 | − | 29.5267i | −1.67375 | − | 1.40444i | ||||
\(443\) | 12.5216 | + | 14.9226i | 0.594917 | + | 0.708994i | 0.976543 | − | 0.215322i | \(-0.0690802\pi\) |
−0.381626 | + | 0.924317i | \(0.624636\pi\) | |||||||
\(444\) | −19.5898 | − | 43.9923i | −0.929691 | − | 2.08778i | ||||
\(445\) | −15.7484 | + | 9.09234i | −0.746545 | + | 0.431018i | ||||
\(446\) | −11.8753 | − | 14.1524i | −0.562310 | − | 0.670134i | ||||
\(447\) | −1.45407 | − | 0.709089i | −0.0687751 | − | 0.0335387i | ||||
\(448\) | 19.9491 | 0.942507 | ||||||||
\(449\) | −1.89892 | − | 3.28902i | −0.0896154 | − | 0.155218i | 0.817733 | − | 0.575597i | \(-0.195230\pi\) |
−0.907349 | + | 0.420379i | \(0.861897\pi\) | |||||||
\(450\) | −48.9293 | + | 26.0237i | −2.30655 | + | 1.22677i | ||||
\(451\) | 0.479304 | − | 0.571212i | 0.0225695 | − | 0.0268973i | ||||
\(452\) | 66.4937 | + | 24.2017i | 3.12760 | + | 1.13835i | ||||
\(453\) | 15.0948 | + | 15.6293i | 0.709216 | + | 0.734326i | ||||
\(454\) | 10.9903 | − | 62.3293i | 0.515802 | − | 2.92526i | ||||
\(455\) | −8.44436 | + | 14.6261i | −0.395878 | + | 0.685680i | ||||
\(456\) | 27.5971 | − | 5.34591i | 1.29235 | − | 0.250345i | ||||
\(457\) | 6.13044 | + | 10.6182i | 0.286770 | + | 0.496700i | 0.973037 | − | 0.230650i | \(-0.0740851\pi\) |
−0.686267 | + | 0.727350i | \(0.740752\pi\) | |||||||
\(458\) | −17.9418 | + | 6.53027i | −0.838363 | + | 0.305139i | ||||
\(459\) | −17.1163 | + | 32.2052i | −0.798922 | + | 1.50321i | ||||
\(460\) | 29.4528 | − | 24.7138i | 1.37324 | − | 1.15229i | ||||
\(461\) | −30.9667 | − | 5.46026i | −1.44226 | − | 0.254310i | −0.602871 | − | 0.797839i | \(-0.705977\pi\) |
−0.839390 | + | 0.543529i | \(0.817088\pi\) | |||||||
\(462\) | −0.395755 | + | 0.266975i | −0.0184122 | + | 0.0124208i | ||||
\(463\) | 18.1595 | 0.843941 | 0.421971 | − | 0.906609i | \(-0.361339\pi\) | ||||
0.421971 | + | 0.906609i | \(0.361339\pi\) | |||||||
\(464\) | 4.74336 | + | 8.21574i | 0.220205 | + | 0.381406i | ||||
\(465\) | 8.91124 | + | 13.2097i | 0.413249 | + | 0.612587i | ||||
\(466\) | −19.4975 | + | 3.43794i | −0.903206 | + | 0.159260i | ||||
\(467\) | −33.3722 | − | 19.2674i | −1.54428 | − | 0.891591i | −0.998561 | − | 0.0536229i | \(-0.982923\pi\) |
−0.545719 | − | 0.837968i | \(-0.683744\pi\) | |||||||
\(468\) | −28.2802 | + | 9.19255i | −1.30725 | + | 0.424926i | ||||
\(469\) | −13.4970 | + | 2.37989i | −0.623234 | + | 0.109893i | ||||
\(470\) | 1.06454 | − | 6.03731i | 0.0491036 | − | 0.278480i | ||||
\(471\) | 11.2908 | + | 16.7371i | 0.520250 | + | 0.771203i | ||||
\(472\) | 31.7912 | + | 26.6760i | 1.46331 | + | 1.22786i | ||||
\(473\) | 0.266030 | + | 0.0469082i | 0.0122321 | + | 0.00215684i | ||||
\(474\) | −43.6201 | − | 4.58200i | −2.00354 | − | 0.210458i | ||||
\(475\) | 13.3453 | − | 31.3781i | 0.612323 | − | 1.43972i | ||||
\(476\) | 42.7228i | 1.95820i | ||||||||
\(477\) | −9.49115 | + | 23.4996i | −0.434570 | + | 1.07597i | ||||
\(478\) | 46.4109 | + | 8.18350i | 2.12279 | + | 0.374304i | ||||
\(479\) | 6.27057 | − | 17.2282i | 0.286510 | − | 0.787179i | −0.710039 | − | 0.704163i | \(-0.751323\pi\) |
0.996548 | − | 0.0830160i | \(-0.0264553\pi\) | |||||||
\(480\) | 21.5178 | − | 5.36638i | 0.982151 | − | 0.244940i | ||||
\(481\) | −20.2441 | − | 7.36826i | −0.923052 | − | 0.335964i | ||||
\(482\) | − | 15.8597i | − | 0.722388i | ||||||
\(483\) | −8.80030 | − | 0.924413i | −0.400428 | − | 0.0420623i | ||||
\(484\) | 6.82897 | + | 38.7290i | 0.310408 | + | 1.76041i | ||||
\(485\) | −12.8122 | − | 4.66326i | −0.581772 | − | 0.211748i | ||||
\(486\) | 18.4156 | + | 31.8747i | 0.835350 | + | 1.44586i | ||||
\(487\) | −4.94599 | + | 2.85557i | −0.224124 | + | 0.129398i | −0.607859 | − | 0.794045i | \(-0.707971\pi\) |
0.383734 | + | 0.923444i | \(0.374638\pi\) | |||||||
\(488\) | −5.55953 | + | 4.66500i | −0.251668 | + | 0.211175i | ||||
\(489\) | −29.4856 | − | 8.45294i | −1.33339 | − | 0.382255i | ||||
\(490\) | −34.1754 | + | 6.02604i | −1.54389 | + | 0.272229i | ||||
\(491\) | 1.35643 | − | 1.61653i | 0.0612149 | − | 0.0729531i | −0.734568 | − | 0.678535i | \(-0.762615\pi\) |
0.795783 | + | 0.605582i | \(0.207060\pi\) | |||||||
\(492\) | −64.7476 | − | 18.5618i | −2.91905 | − | 0.836833i | ||||
\(493\) | 35.1791 | − | 20.3106i | 1.58439 | − | 0.914746i | ||||
\(494\) | 15.5538 | − | 23.9139i | 0.699799 | − | 1.07594i | ||||
\(495\) | −0.492913 | + | 0.547568i | −0.0221548 | + | 0.0246113i | ||||
\(496\) | 1.44035 | + | 3.95734i | 0.0646738 | + | 0.177690i | ||||
\(497\) | 10.2756 | − | 3.74000i | 0.460922 | − | 0.167762i | ||||
\(498\) | 1.18452 | − | 0.799070i | 0.0530794 | − | 0.0358072i | ||||
\(499\) | −5.97530 | + | 2.17483i | −0.267491 | + | 0.0973587i | −0.472284 | − | 0.881447i | \(-0.656570\pi\) |
0.204793 | + | 0.978805i | \(0.434348\pi\) | |||||||
\(500\) | −12.3644 | + | 33.9710i | −0.552954 | + | 1.51923i | ||||
\(501\) | 1.80641 | − | 0.804395i | 0.0807044 | − | 0.0359377i | ||||
\(502\) | − | 55.4749i | − | 2.47596i | ||||||
\(503\) | 0.199225 | − | 0.547365i | 0.00888299 | − | 0.0244058i | −0.935172 | − | 0.354194i | \(-0.884755\pi\) |
0.944055 | + | 0.329788i | \(0.106977\pi\) | |||||||
\(504\) | 16.1218 | + | 10.0713i | 0.718124 | + | 0.448614i | ||||
\(505\) | −10.3348 | + | 17.9004i | −0.459892 | + | 0.796556i | ||||
\(506\) | 0.243092 | − | 0.421047i | 0.0108067 | − | 0.0187178i | ||||
\(507\) | 4.03853 | − | 8.28149i | 0.179358 | − | 0.367794i | ||||
\(508\) | 1.36436 | + | 3.74854i | 0.0605336 | + | 0.166315i | ||||
\(509\) | 2.67718 | + | 15.1830i | 0.118664 | + | 0.672976i | 0.984871 | + | 0.173291i | \(0.0554400\pi\) |
−0.866207 | + | 0.499686i | \(0.833449\pi\) | |||||||
\(510\) | 24.8762 | + | 99.7473i | 1.10154 | + | 4.41689i | ||||
\(511\) | −9.64430 | − | 8.09253i | −0.426639 | − | 0.357992i | ||||
\(512\) | 18.0675 | 0.798477 | ||||||||
\(513\) | −21.1409 | − | 8.12792i | −0.933393 | − | 0.358857i | ||||
\(514\) | −19.1053 | −0.842700 | ||||||||
\(515\) | 29.6251 | + | 24.8584i | 1.30544 | + | 1.09539i | ||||
\(516\) | −5.90459 | − | 23.6759i | −0.259935 | − | 1.04228i | ||||
\(517\) | −0.00863364 | − | 0.0489638i | −0.000379707 | − | 0.00215343i | ||||
\(518\) | 10.6850 | + | 29.3567i | 0.469470 | + | 1.28986i | ||||
\(519\) | 0.677053 | − | 1.38838i | 0.0297193 | − | 0.0609430i | ||||
\(520\) | −18.4747 | + | 31.9992i | −0.810170 | + | 1.40326i | ||||
\(521\) | −9.57944 | + | 16.5921i | −0.419683 | + | 0.726912i | −0.995907 | − | 0.0903794i | \(-0.971192\pi\) |
0.576225 | + | 0.817291i | \(0.304525\pi\) | |||||||
\(522\) | 1.42598 | − | 40.9763i | 0.0624136 | − | 1.79348i | ||||
\(523\) | −3.22775 | + | 8.86817i | −0.141140 | + | 0.387778i | −0.990042 | − | 0.140771i | \(-0.955042\pi\) |
0.848902 | + | 0.528550i | \(0.177264\pi\) | |||||||
\(524\) | 0.0399238i | 0.00174408i | ||||||||
\(525\) | 21.0643 | − | 9.37995i | 0.919321 | − | 0.409374i | ||||
\(526\) | −14.7312 | + | 40.4738i | −0.642313 | + | 1.76474i | ||||
\(527\) | 16.9450 | − | 6.16747i | 0.738135 | − | 0.268659i | ||||
\(528\) | −0.161419 | + | 0.108892i | −0.00702485 | + | 0.00473894i | ||||
\(529\) | −13.1446 | + | 4.78425i | −0.571505 | + | 0.208011i | ||||
\(530\) | 24.4331 | + | 67.1295i | 1.06131 | + | 2.91592i | ||||
\(531\) | −10.3369 | − | 31.8008i | −0.448585 | − | 1.38004i | ||||
\(532\) | −26.3365 | + | 3.21489i | −1.14183 | + | 0.139383i | ||||
\(533\) | −26.0951 | + | 15.0660i | −1.13031 | + | 0.652583i | ||||
\(534\) | 19.9670 | + | 5.72416i | 0.864058 | + | 0.247708i | ||||
\(535\) | 27.5885 | − | 32.8787i | 1.19275 | − | 1.42147i | ||||
\(536\) | −29.5290 | + | 5.20677i | −1.27546 | + | 0.224898i | ||||
\(537\) | −24.6489 | − | 7.06635i | −1.06368 | − | 0.304935i | ||||
\(538\) | 19.8345 | − | 16.6431i | 0.855125 | − | 0.717535i | ||||
\(539\) | −0.243738 | + | 0.140722i | −0.0104986 | + | 0.00606135i | ||||
\(540\) | 63.2966 | + | 20.5537i | 2.72385 | + | 0.884489i | ||||
\(541\) | 25.2382 | + | 9.18594i | 1.08507 | + | 0.394934i | 0.821794 | − | 0.569785i | \(-0.192974\pi\) |
0.263280 | + | 0.964720i | \(0.415196\pi\) | |||||||
\(542\) | −4.08708 | − | 23.1790i | −0.175555 | − | 0.995622i | ||||
\(543\) | −10.7960 | − | 1.13405i | −0.463300 | − | 0.0486666i | ||||
\(544\) | − | 25.0968i | − | 1.07602i | ||||||
\(545\) | −8.76597 | − | 3.19055i | −0.375493 | − | 0.136668i | ||||
\(546\) | 18.7177 | − | 4.66805i | 0.801045 | − | 0.199774i | ||||
\(547\) | −3.74695 | + | 10.2947i | −0.160208 | + | 0.440168i | −0.993660 | − | 0.112423i | \(-0.964139\pi\) |
0.833452 | + | 0.552591i | \(0.186361\pi\) | |||||||
\(548\) | −11.4914 | − | 2.02625i | −0.490889 | − | 0.0865570i | ||||
\(549\) | 5.79062 | − | 0.814529i | 0.247138 | − | 0.0347633i | ||||
\(550\) | 1.26692i | 0.0540215i | ||||||||
\(551\) | 15.1677 | + | 20.1578i | 0.646167 | + | 0.858750i | ||||
\(552\) | −19.2535 | − | 2.02245i | −0.819482 | − | 0.0860812i | ||||
\(553\) | 17.9716 | + | 3.16888i | 0.764231 | + | 0.134755i | ||||
\(554\) | 10.2338 | + | 8.58720i | 0.434794 | + | 0.364835i | ||||
\(555\) | 26.9631 | + | 39.9692i | 1.14452 | + | 1.69660i | ||||
\(556\) | −5.30639 | + | 30.0940i | −0.225041 | + | 1.27627i | ||||
\(557\) | −17.4664 | + | 3.07981i | −0.740077 | + | 0.130496i | −0.530962 | − | 0.847396i | \(-0.678169\pi\) |
−0.209115 | + | 0.977891i | \(0.567058\pi\) | |||||||
\(558\) | 3.78207 | − | 17.8038i | 0.160108 | − | 0.753694i | ||||
\(559\) | −9.45355 | − | 5.45801i | −0.399843 | − | 0.230849i | ||||
\(560\) | 9.83748 | − | 1.73461i | 0.415710 | − | 0.0733008i | ||||
\(561\) | 0.466268 | + | 0.691181i | 0.0196858 | + | 0.0291817i | ||||
\(562\) | −10.0584 | − | 17.4217i | −0.424288 | − | 0.734888i | ||||
\(563\) | −19.1862 | −0.808602 | −0.404301 | − | 0.914626i | \(-0.632485\pi\) | ||||
−0.404301 | + | 0.914626i | \(0.632485\pi\) | |||||||
\(564\) | −3.72316 | + | 2.51163i | −0.156773 | + | 0.105759i | ||||
\(565\) | −69.7681 | − | 12.3020i | −2.93517 | − | 0.517549i | ||||
\(566\) | −29.7104 | + | 24.9300i | −1.24882 | + | 1.04788i | ||||
\(567\) | −6.71759 | − | 13.7647i | −0.282112 | − | 0.578062i | ||||
\(568\) | 22.4811 | − | 8.18244i | 0.943285 | − | 0.343327i | ||||
\(569\) | 4.66952 | + | 8.08785i | 0.195757 | + | 0.339060i | 0.947148 | − | 0.320796i | \(-0.103950\pi\) |
−0.751392 | + | 0.659856i | \(0.770617\pi\) | |||||||
\(570\) | −59.6173 | + | 22.8409i | −2.49709 | + | 0.956701i | ||||
\(571\) | −15.2479 | + | 26.4101i | −0.638105 | + | 1.10523i | 0.347743 | + | 0.937590i | \(0.386948\pi\) |
−0.985848 | + | 0.167640i | \(0.946385\pi\) | |||||||
\(572\) | −0.118045 | + | 0.669469i | −0.00493573 | + | 0.0279919i | ||||
\(573\) | −23.1659 | − | 23.9861i | −0.967769 | − | 1.00203i | ||||
\(574\) | 41.0604 | + | 14.9448i | 1.71383 | + | 0.623782i | ||||
\(575\) | −15.0948 | + | 17.9892i | −0.629495 | + | 0.750203i | ||||
\(576\) | −29.8252 | − | 18.6319i | −1.24272 | − | 0.776328i | ||||
\(577\) | 9.96919 | + | 17.2671i | 0.415023 | + | 0.718841i | 0.995431 | − | 0.0954852i | \(-0.0304403\pi\) |
−0.580408 | + | 0.814326i | \(0.697107\pi\) | |||||||
\(578\) | 76.1925 | 3.16919 | ||||||||
\(579\) | 21.5528 | + | 10.5104i | 0.895704 | + | 0.436797i | ||||
\(580\) | −47.6454 | − | 56.7816i | −1.97837 | − | 2.35773i | ||||
\(581\) | −0.514851 | + | 0.297249i | −0.0213596 | + | 0.0123320i | ||||
\(582\) | 6.33533 | + | 14.2271i | 0.262608 | + | 0.589731i | ||||
\(583\) | 0.372414 | + | 0.443826i | 0.0154238 | + | 0.0183814i | ||||
\(584\) | −21.1000 | − | 17.7050i | −0.873124 | − | 0.732638i | ||||
\(585\) | 26.2852 | − | 13.9801i | 1.08676 | − | 0.578007i | ||||
\(586\) | 9.59833 | − | 54.4348i | 0.396503 | − | 2.24868i | ||||
\(587\) | −28.1528 | + | 33.5512i | −1.16199 | + | 1.38481i | −0.253276 | + | 0.967394i | \(0.581508\pi\) |
−0.908716 | + | 0.417414i | \(0.862936\pi\) | |||||||
\(588\) | 20.5684 | + | 14.9419i | 0.848228 | + | 0.616196i | ||||
\(589\) | 5.07705 | + | 9.98163i | 0.209196 | + | 0.411286i | ||||
\(590\) | −81.6270 | − | 47.1274i | −3.36053 | − | 1.94020i | ||||
\(591\) | −14.0769 | − | 14.5752i | −0.579044 | − | 0.599546i | ||||
\(592\) | 4.35814 | + | 11.9739i | 0.179118 | + | 0.492123i | ||||
\(593\) | 21.7722 | + | 25.9471i | 0.894077 | + | 1.06552i | 0.997485 | + | 0.0708804i | \(0.0225809\pi\) |
−0.103408 | + | 0.994639i | \(0.532975\pi\) | |||||||
\(594\) | 0.841025 | − | 0.0295213i | 0.0345077 | − | 0.00121127i | ||||
\(595\) | −7.42746 | − | 42.1232i | −0.304496 | − | 1.72688i | ||||
\(596\) | 2.89308 | + | 1.67032i | 0.118505 | + | 0.0684190i | ||||
\(597\) | −0.975882 | + | 9.29027i | −0.0399402 | + | 0.380226i | ||||
\(598\) | −15.0501 | + | 12.6285i | −0.615445 | + | 0.516420i | ||||
\(599\) | 23.5890 | − | 19.7935i | 0.963820 | − | 0.808741i | −0.0177500 | − | 0.999842i | \(-0.505650\pi\) |
0.981570 | + | 0.191101i | \(0.0612059\pi\) | |||||||
\(600\) | 46.0849 | − | 20.5216i | 1.88141 | − | 0.837792i | ||||
\(601\) | 12.5543 | + | 7.24824i | 0.512101 | + | 0.295662i | 0.733697 | − | 0.679477i | \(-0.237793\pi\) |
−0.221596 | + | 0.975139i | \(0.571127\pi\) | |||||||
\(602\) | 2.74880 | + | 15.5892i | 0.112033 | + | 0.635369i | ||||
\(603\) | 22.4017 | + | 9.04772i | 0.912266 | + | 0.368452i | ||||
\(604\) | −28.8413 | − | 34.3717i | −1.17353 | − | 1.39856i | ||||
\(605\) | −13.4663 | − | 36.9983i | −0.547482 | − | 1.50419i | ||||
\(606\) | 22.9080 | − | 5.71308i | 0.930575 | − | 0.232078i | ||||
\(607\) | −10.7115 | − | 6.18431i | −0.434768 | − | 0.251013i | 0.266608 | − | 0.963805i | \(-0.414097\pi\) |
−0.701376 | + | 0.712792i | \(0.747430\pi\) | |||||||
\(608\) | 15.4709 | − | 1.88854i | 0.627429 | − | 0.0765903i | ||||
\(609\) | −1.78216 | + | 16.9660i | −0.0722169 | + | 0.687496i | ||||
\(610\) | 10.5950 | − | 12.6267i | 0.428980 | − | 0.511238i | ||||
\(611\) | −0.348883 | + | 1.97861i | −0.0141143 | + | 0.0800461i | ||||
\(612\) | 39.9018 | − | 63.8733i | 1.61293 | − | 2.58193i | ||||
\(613\) | 28.4226 | + | 23.8494i | 1.14798 | + | 0.963268i | 0.999670 | − | 0.0256733i | \(-0.00817296\pi\) |
0.148308 | + | 0.988941i | \(0.452617\pi\) | |||||||
\(614\) | −1.10741 | − | 1.31976i | −0.0446913 | − | 0.0532611i | ||||
\(615\) | 67.0660 | + | 7.04483i | 2.70436 | + | 0.284075i | ||||
\(616\) | 0.376338 | − | 0.217279i | 0.0151631 | − | 0.00875442i | ||||
\(617\) | −19.6829 | − | 23.4572i | −0.792404 | − | 0.944350i | 0.207019 | − | 0.978337i | \(-0.433624\pi\) |
−0.999422 | + | 0.0339871i | \(0.989179\pi\) | |||||||
\(618\) | −3.08406 | − | 44.0660i | −0.124059 | − | 1.77259i | ||||
\(619\) | 22.8389 | 0.917974 | 0.458987 | − | 0.888443i | \(-0.348212\pi\) | ||||
0.458987 | + | 0.888443i | \(0.348212\pi\) | |||||||
\(620\) | −16.4522 | − | 28.4961i | −0.660738 | − | 1.14443i | ||||
\(621\) | 12.2936 | + | 9.60127i | 0.493327 | + | 0.385286i | ||||
\(622\) | −6.07673 | + | 7.24196i | −0.243654 | + | 0.290376i | ||||
\(623\) | −8.12114 | − | 2.95585i | −0.325367 | − | 0.118424i | ||||
\(624\) | 7.63451 | − | 1.90398i | 0.305625 | − | 0.0762204i | ||||
\(625\) | −0.506966 | + | 2.87515i | −0.0202787 | + | 0.115006i | ||||
\(626\) | −2.99823 | + | 5.19308i | −0.119833 | + | 0.207557i | ||||
\(627\) | −0.390992 | + | 0.339442i | −0.0156147 | + | 0.0135560i | ||||
\(628\) | −20.8454 | − | 36.1053i | −0.831821 | − | 1.44076i | ||||
\(629\) | 51.2711 | − | 18.6611i | 2.04431 | − | 0.744069i | ||||
\(630\) | −40.0312 | − | 16.1680i | −1.59488 | − | 0.644150i | ||||
\(631\) | 19.6728 | − | 16.5075i | 0.783164 | − | 0.657152i | −0.160880 | − | 0.986974i | \(-0.551433\pi\) |
0.944043 | + | 0.329822i | \(0.106989\pi\) | |||||||
\(632\) | 39.3187 | + | 6.93294i | 1.56401 | + | 0.275778i | ||||
\(633\) | 0.170910 | + | 2.44201i | 0.00679305 | + | 0.0970612i | ||||
\(634\) | −75.6295 | −3.00363 | ||||||||
\(635\) | −1.99690 | − | 3.45874i | −0.0792447 | − | 0.137256i | ||||
\(636\) | 22.9392 | − | 47.0395i | 0.909599 | − | 1.86524i | ||||
\(637\) | 11.2003 | − | 1.97492i | 0.443773 | − | 0.0782492i | ||||
\(638\) | −0.811731 | − | 0.468653i | −0.0321367 | − | 0.0185542i | ||||
\(639\) | −18.8557 | − | 4.00552i | −0.745919 | − | 0.158456i | ||||
\(640\) | −72.4008 | + | 12.7662i | −2.86189 | + | 0.504629i | ||||
\(641\) | −0.122614 | + | 0.695380i | −0.00484297 | + | 0.0274658i | −0.987133 | − | 0.159898i | \(-0.948883\pi\) |
0.982291 | + | 0.187364i | \(0.0599945\pi\) | |||||||
\(642\) | −48.9056 | + | 3.42277i | −1.93015 | + | 0.135086i | ||||
\(643\) | 34.0799 | + | 28.5965i | 1.34398 | + | 1.12773i | 0.980584 | + | 0.196100i | \(0.0628276\pi\) |
0.363397 | + | 0.931634i | \(0.381617\pi\) | |||||||
\(644\) | 17.9949 | + | 3.17299i | 0.709098 | + | 0.125033i | ||||
\(645\) | 9.93785 | + | 22.3172i | 0.391302 | + | 0.878737i | ||||
\(646\) | 8.75444 | + | 71.7165i | 0.344439 | + | 2.82165i | ||||
\(647\) | − | 9.57031i | − | 0.376248i | −0.982145 | − | 0.188124i | \(-0.939759\pi\) | ||
0.982145 | − | 0.188124i | \(-0.0602407\pi\) | |||||||
\(648\) | −14.6969 | − | 30.1146i | −0.577347 | − | 1.18301i | ||||
\(649\) | −0.752812 | − | 0.132741i | −0.0295504 | − | 0.00521054i | ||||
\(650\) | 17.5100 | − | 48.1083i | 0.686798 | − | 1.88696i | ||||
\(651\) | −2.08694 | + | 7.27968i | −0.0817937 | + | 0.285313i | ||||
\(652\) | 59.5202 | + | 21.6636i | 2.33099 | + | 0.848411i | ||||
\(653\) | 26.2999i | 1.02919i | 0.857432 | + | 0.514597i | \(0.172058\pi\) | ||||
−0.857432 | + | 0.514597i | \(0.827942\pi\) | |||||||
\(654\) | 4.33456 | + | 9.73400i | 0.169495 | + | 0.380630i | ||||
\(655\) | −0.00694086 | − | 0.0393636i | −0.000271202 | − | 0.00153806i | ||||
\(656\) | 16.7475 | + | 6.09560i | 0.653881 | + | 0.237993i | ||||
\(657\) | 6.86067 | + | 21.1063i | 0.267660 | + | 0.823436i | ||||
\(658\) | 2.52318 | − | 1.45676i | 0.0983638 | − | 0.0567904i | ||||
\(659\) | 17.1070 | − | 14.3545i | 0.666394 | − | 0.559171i | −0.245602 | − | 0.969371i | \(-0.578986\pi\) |
0.911996 | + | 0.410200i | \(0.134541\pi\) | |||||||
\(660\) | 1.09432 | − | 1.05690i | 0.0425963 | − | 0.0411397i | ||||
\(661\) | −8.11331 | + | 1.43060i | −0.315571 | + | 0.0556437i | −0.329190 | − | 0.944264i | \(-0.606776\pi\) |
0.0136193 | + | 0.999907i | \(0.495665\pi\) | |||||||
\(662\) | −39.0107 | + | 46.4911i | −1.51619 | + | 1.80693i | ||||
\(663\) | −8.15269 | − | 32.6903i | −0.316624 | − | 1.26959i | ||||
\(664\) | −1.12640 | + | 0.650328i | −0.0437128 | + | 0.0252376i | ||||
\(665\) | 25.4080 | − | 7.74844i | 0.985278 | − | 0.300471i | ||||
\(666\) | 11.4436 | − | 53.8696i | 0.443429 | − | 2.08740i | ||||
\(667\) | −5.94215 | − | 16.3259i | −0.230081 | − | 0.632143i | ||||
\(668\) | −3.83708 | + | 1.39658i | −0.148461 | + | 0.0540354i | ||||
\(669\) | −0.946035 | − | 13.5172i | −0.0365758 | − | 0.522606i | ||||
\(670\) | 63.9932 | − | 23.2916i | 2.47227 | − | 0.899833i | ||||
\(671\) | 0.0457212 | − | 0.125618i | 0.00176505 | − | 0.00484943i | ||||
\(672\) | 8.52714 | + | 6.19455i | 0.328942 | + | 0.238960i | ||||
\(673\) | 21.7657i | 0.839008i | 0.907754 | + | 0.419504i | \(0.137796\pi\) | ||||
−0.907754 | + | 0.419504i | \(0.862204\pi\) | |||||||
\(674\) | −11.1154 | + | 30.5394i | −0.428150 | + | 1.17633i | ||||
\(675\) | −40.2531 | − | 5.64979i | −1.54934 | − | 0.217460i | ||||
\(676\) | −9.51312 | + | 16.4772i | −0.365889 | + | 0.633738i | ||||
\(677\) | −17.5825 | + | 30.4538i | −0.675751 | + | 1.17043i | 0.300498 | + | 0.953782i | \(0.402847\pi\) |
−0.976249 | + | 0.216652i | \(0.930486\pi\) | |||||||
\(678\) | 45.2548 | + | 67.0843i | 1.73800 | + | 2.57636i | ||||
\(679\) | −2.21623 | − | 6.08905i | −0.0850512 | − | 0.233676i | ||||
\(680\) | −16.2499 | − | 92.1580i | −0.623157 | − | 3.53410i | ||||
\(681\) | 33.3905 | − | 32.2487i | 1.27953 | − | 1.23577i | ||||
\(682\) | −0.318740 | − | 0.267455i | −0.0122052 | − | 0.0102414i | ||||
\(683\) | −14.9200 | −0.570898 | −0.285449 | − | 0.958394i | \(-0.592143\pi\) | ||||
−0.285449 | + | 0.958394i | \(0.592143\pi\) | |||||||
\(684\) | 42.3773 | + | 19.7910i | 1.62034 | + | 0.756727i | ||||
\(685\) | 11.6824 | 0.446363 | ||||||||
\(686\) | −34.1843 | − | 28.6841i | −1.30516 | − | 1.09516i | ||||
\(687\) | −13.4618 | − | 3.85922i | −0.513598 | − | 0.147238i | ||||
\(688\) | 1.12117 | + | 6.35846i | 0.0427441 | + | 0.242414i | ||||
\(689\) | −8.00749 | − | 22.0004i | −0.305061 | − | 0.838149i | ||||
\(690\) | 43.8612 | − | 3.06973i | 1.66977 | − | 0.116863i | ||||
\(691\) | 18.1022 | − | 31.3539i | 0.688640 | − | 1.19276i | −0.283638 | − | 0.958931i | \(-0.591541\pi\) |
0.972278 | − | 0.233828i | \(-0.0751253\pi\) | |||||||
\(692\) | −1.59486 | + | 2.76237i | −0.0606274 | + | 0.105010i | ||||
\(693\) | −0.349929 | − | 0.0121776i | −0.0132927 | − | 0.000462590i | ||||
\(694\) | 2.08406 | − | 5.72592i | 0.0791100 | − | 0.217353i | ||||
\(695\) | − | 30.5943i | − | 1.16051i | ||||||
\(696\) | −3.89905 | + | 37.1185i | −0.147793 | + | 1.40697i | ||||
\(697\) | 26.1008 | − | 71.7115i | 0.988640 | − | 2.71627i | ||||
\(698\) | −12.9391 | + | 4.70946i | −0.489753 | + | 0.178256i | ||||
\(699\) | −13.0519 | − | 6.36488i | −0.493670 | − | 0.240742i | ||||
\(700\) | −44.7437 | + | 16.2854i | −1.69115 | + | 0.615529i | ||||
\(701\) | −14.0704 | − | 38.6582i | −0.531433 | − | 1.46010i | −0.857366 | − | 0.514707i | \(-0.827901\pi\) |
0.325933 | − | 0.945393i | \(-0.394322\pi\) | |||||||
\(702\) | −32.3440 | − | 10.5028i | −1.22075 | − | 0.396401i | ||||
\(703\) | 15.3618 | + | 30.2018i | 0.579382 | + | 1.13908i | ||||
\(704\) | −0.696221 | + | 0.401963i | −0.0262398 | + | 0.0151496i | ||||
\(705\) | 3.23426 | − | 3.12366i | 0.121809 | − | 0.117644i | ||||
\(706\) | −23.6253 | + | 28.1555i | −0.889148 | + | 1.05965i | ||||
\(707\) | −9.67405 | + | 1.70580i | −0.363830 | + | 0.0641531i | ||||
\(708\) | 16.7088 | + | 66.9983i | 0.627956 | + | 2.51795i | ||||
\(709\) | −21.7969 | + | 18.2898i | −0.818600 | + | 0.686887i | −0.952644 | − | 0.304089i | \(-0.901648\pi\) |
0.134044 | + | 0.990975i | \(0.457204\pi\) | |||||||
\(710\) | −47.0556 | + | 27.1676i | −1.76597 | + | 1.01958i | ||||
\(711\) | −23.9091 | − | 21.5226i | −0.896661 | − | 0.807162i | ||||
\(712\) | −17.7676 | − | 6.46688i | −0.665869 | − | 0.242356i | ||||
\(713\) | −1.33926 | − | 7.59530i | −0.0501556 | − | 0.284446i | ||||
\(714\) | −28.7152 | + | 39.5281i | −1.07464 | + | 1.47930i | ||||
\(715\) | − | 0.680596i | − | 0.0254529i | ||||||
\(716\) | 49.7567 | + | 18.1099i | 1.85949 | + | 0.676800i | ||||
\(717\) | 24.0127 | + | 24.8629i | 0.896770 | + | 0.928520i | ||||
\(718\) | 8.52077 | − | 23.4106i | 0.317992 | − | 0.873677i | ||||
\(719\) | 12.7557 | + | 2.24917i | 0.475706 | + | 0.0838798i | 0.406360 | − | 0.913713i | \(-0.366798\pi\) |
0.0693456 | + | 0.997593i | \(0.477909\pi\) | |||||||
\(720\) | −16.3278 | − | 6.59455i | −0.608499 | − | 0.245764i | ||||
\(721\) | 18.3794i | 0.684484i | ||||||||
\(722\) | −43.5509 | + | 10.7933i | −1.62080 | + | 0.401687i | ||||
\(723\) | 6.83676 | − | 9.41118i | 0.254262 | − | 0.350006i | ||||
\(724\) | 22.0757 | + | 3.89253i | 0.820436 | + | 0.144665i | ||||
\(725\) | 34.6812 | + | 29.1010i | 1.28803 | + | 1.08078i | ||||
\(726\) | −19.7126 | + | 40.4229i | −0.731602 | + | 1.50024i | ||||
\(727\) | 0.223512 | − | 1.26760i | 0.00828960 | − | 0.0470126i | −0.980382 | − | 0.197105i | \(-0.936846\pi\) |
0.988672 | + | 0.150092i | \(0.0479571\pi\) | |||||||
\(728\) | −17.2936 | + | 3.04933i | −0.640943 | + | 0.113016i | ||||
\(729\) | −2.81257 | + | 26.8531i | −0.104169 | + | 0.994560i | ||||
\(730\) | 54.1762 | + | 31.2787i | 2.00515 | + | 1.15768i | ||||
\(731\) | 27.2264 | − | 4.80074i | 1.00700 | − | 0.177562i | ||||
\(732\) | −12.0458 | + | 0.843053i | −0.445226 | + | 0.0311602i | ||||
\(733\) | 22.0489 | + | 38.1898i | 0.814395 | + | 1.41057i | 0.909761 | + | 0.415131i | \(0.136264\pi\) |
−0.0953663 | + | 0.995442i | \(0.530402\pi\) | |||||||
\(734\) | −26.1431 | −0.964959 | ||||||||
\(735\) | −22.8775 | − | 11.1564i | −0.843849 | − | 0.411510i | ||||
\(736\) | −10.5708 | − | 1.86392i | −0.389646 | − | 0.0687050i | ||||
\(737\) | 0.423091 | − | 0.355015i | 0.0155847 | − | 0.0130772i | ||||
\(738\) | −47.4300 | − | 60.6926i | −1.74592 | − | 2.23412i | ||||
\(739\) | −38.0632 | + | 13.8539i | −1.40018 | + | 0.509623i | −0.928231 | − | 0.372003i | \(-0.878671\pi\) |
−0.471947 | + | 0.881627i | \(0.656449\pi\) | |||||||
\(740\) | −49.7802 | − | 86.2218i | −1.82996 | − | 3.16958i | ||||
\(741\) | 19.5384 | − | 7.48567i | 0.717762 | − | 0.274993i | ||||
\(742\) | −16.9755 | + | 29.4025i | −0.623191 | + | 1.07940i | ||||
\(743\) | 7.14422 | − | 40.5169i | 0.262096 | − | 1.48642i | −0.515083 | − | 0.857140i | \(-0.672239\pi\) |
0.777179 | − | 0.629279i | \(-0.216650\pi\) | |||||||
\(744\) | −4.56585 | + | 15.9266i | −0.167392 | + | 0.583899i | ||||
\(745\) | −3.14287 | − | 1.14391i | −0.115146 | − | 0.0419096i | ||||
\(746\) | 47.5276 | − | 56.6412i | 1.74011 | − | 2.07378i | ||||
\(747\) | 1.04736 | + | 0.0364483i | 0.0383208 | + | 0.00133357i | ||||
\(748\) | −0.860840 | − | 1.49102i | −0.0314754 | − | 0.0545170i | ||||
\(749\) | 20.3979 | 0.745324 | ||||||||
\(750\) | −34.2727 | + | 23.1202i | −1.25146 | + | 0.844232i | ||||
\(751\) | 21.3166 | + | 25.4041i | 0.777854 | + | 0.927010i | 0.998834 | − | 0.0482683i | \(-0.0153703\pi\) |
−0.220981 | + | 0.975278i | \(0.570926\pi\) | |||||||
\(752\) | 1.02914 | − | 0.594177i | 0.0375290 | − | 0.0216674i | ||||
\(753\) | 23.9140 | − | 32.9190i | 0.871475 | − | 1.19963i | ||||
\(754\) | 24.3464 | + | 29.0149i | 0.886644 | + | 1.05666i | ||||
\(755\) | 34.4121 | + | 28.8752i | 1.25239 | + | 1.05088i | ||||
\(756\) | 11.8534 | + | 29.3230i | 0.431105 | + | 1.06647i | ||||
\(757\) | 5.09501 | − | 28.8952i | 0.185181 | − | 1.05021i | −0.740541 | − | 0.672011i | \(-0.765431\pi\) |
0.925722 | − | 0.378204i | \(-0.123458\pi\) | |||||||
\(758\) | 41.7400 | − | 49.7438i | 1.51607 | − | 1.80678i | ||||
\(759\) | 0.325756 | − | 0.145059i | 0.0118242 | − | 0.00526532i | ||||
\(760\) | 55.5880 | − | 16.9522i | 2.01639 | − | 0.614920i | ||||
\(761\) | 26.0608 | + | 15.0462i | 0.944704 | + | 0.545425i | 0.891432 | − | 0.453155i | \(-0.149702\pi\) |
0.0532721 | + | 0.998580i | \(0.483035\pi\) | |||||||
\(762\) | −1.25717 | + | 4.38526i | −0.0455424 | + | 0.158861i | ||||
\(763\) | −1.51632 | − | 4.16606i | −0.0548945 | − | 0.150821i | ||||
\(764\) | 44.2625 | + | 52.7500i | 1.60136 | + | 1.90843i | ||||
\(765\) | −28.2373 | + | 69.9140i | −1.02092 | + | 2.52775i | ||||
\(766\) | 7.78601 | + | 44.1566i | 0.281320 | + | 1.59544i | ||||
\(767\) | 26.7517 | + | 15.4451i | 0.965948 | + | 0.557690i | ||||
\(768\) | 35.0873 | + | 25.4892i | 1.26610 | + | 0.919761i | ||||
\(769\) | −21.5219 | + | 18.0590i | −0.776098 | + | 0.651224i | −0.942263 | − | 0.334874i | \(-0.891306\pi\) |
0.166164 | + | 0.986098i | \(0.446862\pi\) | |||||||
\(770\) | −0.756052 | + | 0.634403i | −0.0272462 | + | 0.0228623i | ||||
\(771\) | −11.3372 | − | 8.23590i | −0.408298 | − | 0.296609i | ||||
\(772\) | −42.8824 | − | 24.7581i | −1.54337 | − | 0.891065i | ||||
\(773\) | 1.25029 | + | 7.09077i | 0.0449700 | + | 0.255037i | 0.999002 | − | 0.0446676i | \(-0.0142229\pi\) |
−0.954032 | + | 0.299705i | \(0.903112\pi\) | |||||||
\(774\) | 10.4502 | − | 25.8742i | 0.375625 | − | 0.930028i | ||||
\(775\) | 12.9184 | + | 15.3956i | 0.464043 | + | 0.553025i | ||||
\(776\) | −4.84872 | − | 13.3217i | −0.174059 | − | 0.478223i | ||||
\(777\) | −6.31454 | + | 22.0264i | −0.226533 | + | 0.790193i | ||||
\(778\) | 56.8113 | + | 32.8000i | 2.03678 | + | 1.17594i | ||||
\(779\) | 46.1706 | + | 10.6936i | 1.65423 | + | 0.383137i | ||||
\(780\) | −56.1616 | + | 25.0088i | −2.01091 | + | 0.895458i | ||||
\(781\) | −0.283257 | + | 0.337572i | −0.0101357 | + | 0.0120793i | ||||
\(782\) | 8.64032 | − | 49.0017i | 0.308977 | − | 1.75230i | ||||
\(783\) | 18.5102 | − | 23.7007i | 0.661499 | − | 0.846996i | ||||
\(784\) | −5.15311 | − | 4.32397i | −0.184040 | − | 0.154428i | ||||
\(785\) | 26.8298 | + | 31.9746i | 0.957598 | + | 1.14122i | ||||
\(786\) | −0.0268339 | + | 0.0369384i | −0.000957135 | + | 0.00131755i | ||||
\(787\) | −4.88523 | + | 2.82049i | −0.174140 | + | 0.100540i | −0.584536 | − | 0.811368i | \(-0.698724\pi\) |
0.410397 | + | 0.911907i | \(0.365390\pi\) | |||||||
\(788\) | 26.8963 | + | 32.0537i | 0.958140 | + | 1.14187i | ||||
\(789\) | −26.1889 | + | 17.6670i | −0.932351 | + | 0.628960i | ||||
\(790\) | −90.6771 | −3.22614 | ||||||||
\(791\) | −16.8345 | − | 29.1583i | −0.598567 | − | 1.03675i | ||||
\(792\) | −0.765582 | − | 0.0266424i | −0.0272038 | − | 0.000946698i | ||||
\(793\) | −3.47232 | + | 4.13814i | −0.123306 | + | 0.146950i | ||||
\(794\) | −37.5516 | − | 13.6677i | −1.33266 | − | 0.485048i | ||||
\(795\) | −14.4394 | + | 50.3674i | −0.512111 | + | 1.78635i | ||||
\(796\) | 3.34965 | − | 18.9968i | 0.118725 | − | 0.673323i | ||||
\(797\) | 5.82703 | − | 10.0927i | 0.206404 | − | 0.357502i | −0.744175 | − | 0.667985i | \(-0.767157\pi\) |
0.950579 | + | 0.310482i | \(0.100491\pi\) | |||||||
\(798\) | −26.5279 | − | 14.7270i | −0.939078 | − | 0.521330i | ||||
\(799\) | −2.54421 | − | 4.40670i | −0.0900077 | − | 0.155898i | ||||
\(800\) | 26.2840 | − | 9.56658i | 0.929279 | − | 0.338230i | ||||
\(801\) | 9.38095 | + | 12.0041i | 0.331460 | + | 0.424144i | ||||
\(802\) | 6.03194 | − | 5.06140i | 0.212995 | − | 0.178724i | ||||
\(803\) | 0.499644 | + | 0.0881008i | 0.0176321 | + | 0.00310901i | ||||
\(804\) | −44.8418 | − | 21.8675i | −1.58145 | − | 0.771207i | ||||
\(805\) | −18.2940 | −0.644779 | ||||||||
\(806\) | 8.40696 | + | 14.5613i | 0.296122 | + | 0.512899i | ||||
\(807\) | 18.9443 | − | 1.32586i | 0.666872 | − | 0.0466726i | ||||
\(808\) | −21.1651 | + | 3.73197i | −0.744585 | + | 0.131290i | ||||
\(809\) | −35.8631 | − | 20.7056i | −1.26088 | − | 0.727970i | −0.287636 | − | 0.957740i | \(-0.592869\pi\) |
−0.973245 | + | 0.229770i | \(0.926203\pi\) | |||||||
\(810\) | 44.7488 | + | 61.5602i | 1.57231 | + | 2.16301i | ||||
\(811\) | −33.4287 | + | 5.89438i | −1.17384 | + | 0.206980i | −0.726360 | − | 0.687315i | \(-0.758789\pi\) |
−0.447479 | + | 0.894294i | \(0.647678\pi\) | |||||||
\(812\) | 6.11715 | − | 34.6921i | 0.214670 | − | 1.21745i | ||||
\(813\) | 7.56667 | − | 15.5163i | 0.265375 | − | 0.544182i | ||||
\(814\) | −0.964425 | − | 0.809248i | −0.0338031 | − | 0.0283641i | ||||
\(815\) | −62.4512 | − | 11.0118i | −2.18757 | − | 0.385727i | ||||
\(816\) | −11.7122 | + | 16.1225i | −0.410010 | + | 0.564402i | ||||
\(817\) | 5.00820 | + | 16.4224i | 0.175215 | + | 0.574548i | ||||
\(818\) | − | 53.1537i | − | 1.85847i | ||||||
\(819\) | 13.1195 | + | 5.29877i | 0.458431 | + | 0.185154i | ||||
\(820\) | −137.137 | − | 24.1809i | −4.78902 | − | 0.844434i | ||||
\(821\) | 5.39189 | − | 14.8141i | 0.188178 | − | 0.517016i | −0.809346 | − | 0.587332i | \(-0.800178\pi\) |
0.997525 | + | 0.0703158i | \(0.0224007\pi\) | |||||||
\(822\) | −9.27023 | − | 9.59845i | −0.323336 | − | 0.334784i | ||||
\(823\) | −24.3559 | − | 8.86482i | −0.848993 | − | 0.309008i | −0.119364 | − | 0.992851i | \(-0.538085\pi\) |
−0.729630 | + | 0.683842i | \(0.760308\pi\) | |||||||
\(824\) | 40.2108i | 1.40081i | ||||||||
\(825\) | −0.546140 | + | 0.751793i | −0.0190142 | + | 0.0261741i | ||||
\(826\) | −7.77856 | − | 44.1144i | −0.270651 | − | 1.53494i | ||||
\(827\) | 7.92236 | + | 2.88350i | 0.275487 | + | 0.100269i | 0.476069 | − | 0.879408i | \(-0.342061\pi\) |
−0.200582 | + | 0.979677i | \(0.564283\pi\) | |||||||
\(828\) | −23.9401 | − | 21.5505i | −0.831974 | − | 0.748932i | ||||
\(829\) | 23.0878 | − | 13.3297i | 0.801871 | − | 0.462960i | −0.0422540 | − | 0.999107i | \(-0.513454\pi\) |
0.844125 | + | 0.536146i | \(0.180121\pi\) | |||||||
\(830\) | 2.26291 | − | 1.89880i | 0.0785466 | − | 0.0659084i | ||||
\(831\) | 2.37103 | + | 9.50726i | 0.0822502 | + | 0.329803i | ||||
\(832\) | 31.9929 | − | 5.64122i | 1.10916 | − | 0.195574i | ||||
\(833\) | −18.5149 | + | 22.0652i | −0.641502 | + | 0.764512i | ||||
\(834\) | −25.1367 | + | 24.2771i | −0.870412 | + | 0.840648i | ||||
\(835\) | 3.54043 | − | 2.04407i | 0.122522 | − | 0.0707379i | ||||
\(836\) | 0.854360 | − | 0.642864i | 0.0295487 | − | 0.0222339i | ||||
\(837\) | 9.91912 | − | 8.93446i | 0.342855 | − | 0.308820i | ||||
\(838\) | −6.38153 | − | 17.5331i | −0.220446 | − | 0.605671i | ||||
\(839\) | −28.8043 | + | 10.4839i | −0.994433 | + | 0.361944i | −0.787435 | − | 0.616397i | \(-0.788592\pi\) |
−0.206998 | + | 0.978341i | \(0.566369\pi\) | |||||||
\(840\) | 35.3234 | + | 17.2257i | 1.21877 | + | 0.594345i | ||||
\(841\) | −4.22345 | + | 1.53721i | −0.145636 | + | 0.0530073i | ||||
\(842\) | −2.24741 | + | 6.17470i | −0.0774507 | + | 0.212794i | ||||
\(843\) | 1.54141 | − | 14.6740i | 0.0530890 | − | 0.505400i | ||||
\(844\) | − | 5.05506i | − | 0.174002i | ||||||
\(845\) | 6.51501 | − | 17.8998i | 0.224123 | − | 0.615773i | ||||
\(846\) | −5.13289 | − | 0.178626i | −0.176472 | − | 0.00614128i | ||||
\(847\) | 9.35603 | − | 16.2051i | 0.321477 | − | 0.556814i | ||||
\(848\) | −6.92390 | + | 11.9925i | −0.237768 | + | 0.411826i | ||||
\(849\) | −28.3770 | + | 1.98603i | −0.973896 | + | 0.0681604i | ||||
\(850\) | 44.3465 | + | 121.841i | 1.52107 | + | 4.17911i | ||||
\(851\) | −4.05224 | − | 22.9814i | −0.138909 | − | 0.787792i | ||||
\(852\) | 38.2642 | + | 10.9696i | 1.31091 | + | 0.375812i | ||||
\(853\) | −23.2450 | − | 19.5049i | −0.795895 | − | 0.667835i | 0.151302 | − | 0.988488i | \(-0.451653\pi\) |
−0.947197 | + | 0.320653i | \(0.896098\pi\) | |||||||
\(854\) | 7.83357 | 0.268059 | ||||||||
\(855\) | −45.2233 | − | 12.1458i | −1.54661 | − | 0.415379i | ||||
\(856\) | 44.6270 | 1.52532 | ||||||||
\(857\) | −25.2851 | − | 21.2167i | −0.863722 | − | 0.724749i | 0.0990448 | − | 0.995083i | \(-0.468421\pi\) |
−0.962766 | + | 0.270334i | \(0.912866\pi\) | |||||||
\(858\) | −0.559188 | + | 0.540066i | −0.0190903 | + | 0.0184376i | ||||
\(859\) | −0.135644 | − | 0.769277i | −0.00462812 | − | 0.0262474i | 0.982406 | − | 0.186756i | \(-0.0597975\pi\) |
−0.987034 | + | 0.160509i | \(0.948686\pi\) | |||||||
\(860\) | −17.2540 | − | 47.4049i | −0.588356 | − | 1.61649i | ||||
\(861\) | 17.9230 | + | 26.5685i | 0.610815 | + | 0.905453i | ||||
\(862\) | 17.1869 | − | 29.7686i | 0.585389 | − | 1.01392i | ||||
\(863\) | −12.6819 | + | 21.9656i | −0.431695 | + | 0.747718i | −0.997019 | − | 0.0771505i | \(-0.975418\pi\) |
0.565324 | + | 0.824869i | \(0.308751\pi\) | |||||||
\(864\) | −6.96311 | − | 17.2253i | −0.236890 | − | 0.586018i | ||||
\(865\) | 1.09223 | − | 3.00088i | 0.0371369 | − | 0.102033i | ||||
\(866\) | 77.3096i | 2.62709i | ||||||||
\(867\) | 45.2129 | + | 32.8449i | 1.53551 | + | 1.11547i | ||||
\(868\) | 5.34850 | − | 14.6949i | 0.181540 | − | 0.498777i | ||||
\(869\) | −0.691058 | + | 0.251525i | −0.0234426 | + | 0.00853239i | ||||
\(870\) | −5.91809 | − | 84.5595i | −0.200642 | − | 2.86683i | ||||
\(871\) | −20.9725 | + | 7.63338i | −0.710628 | + | 0.258647i | ||||
\(872\) | −3.31744 | − | 9.11459i | −0.112343 | − | 0.308659i | ||||
\(873\) | −2.37358 | + | 11.1734i | −0.0803334 | + | 0.378163i | ||||
\(874\) | 30.8573 | + | 1.63894i | 1.04376 | + | 0.0554381i | ||||
\(875\) | 14.8967 | − | 8.60060i | 0.503599 | − | 0.290753i | ||||
\(876\) | −11.0897 | − | 44.4671i | −0.374687 | − | 1.50240i | ||||
\(877\) | 0.474465 | − | 0.565445i | 0.0160215 | − | 0.0190937i | −0.757974 | − | 0.652285i | \(-0.773811\pi\) |
0.773996 | + | 0.633191i | \(0.218255\pi\) | |||||||
\(878\) | 4.37283 | − | 0.771048i | 0.147576 | − | 0.0260216i | ||||
\(879\) | 29.1613 | − | 28.1642i | 0.983588 | − | 0.949954i | ||||
\(880\) | −0.308375 | + | 0.258758i | −0.0103953 | + | 0.00872272i | ||||
\(881\) | −13.3201 | + | 7.69035i | −0.448765 | + | 0.259095i | −0.707308 | − | 0.706905i | \(-0.750091\pi\) |
0.258544 | + | 0.966000i | \(0.416757\pi\) | |||||||
\(882\) | 8.98747 | + | 27.6493i | 0.302624 | + | 0.930999i | ||||
\(883\) | −40.2488 | − | 14.6494i | −1.35448 | − | 0.492990i | −0.440137 | − | 0.897931i | \(-0.645070\pi\) |
−0.914343 | + | 0.404940i | \(0.867292\pi\) | |||||||
\(884\) | 12.0812 | + | 68.5157i | 0.406333 | + | 2.30443i | ||||
\(885\) | −28.1222 | − | 63.1532i | −0.945316 | − | 2.12287i | ||||
\(886\) | − | 46.0021i | − | 1.54547i | ||||||
\(887\) | 23.9094 | + | 8.70231i | 0.802799 | + | 0.292195i | 0.710646 | − | 0.703550i | \(-0.248403\pi\) |
0.0921532 | + | 0.995745i | \(0.470625\pi\) | |||||||
\(888\) | −13.8151 | + | 48.1898i | −0.463603 | + | 1.61714i | ||||
\(889\) | 0.649179 | − | 1.78360i | 0.0217728 | − | 0.0598202i | ||||
\(890\) | 42.2906 | + | 7.45698i | 1.41759 | + | 0.249959i | ||||
\(891\) | 0.511793 | + | 0.345030i | 0.0171457 | + | 0.0115589i | ||||
\(892\) | 27.9812i | 0.936880i | ||||||||
\(893\) | 2.52506 | − | 1.89998i | 0.0844979 | − | 0.0635805i | ||||
\(894\) | 1.55407 | + | 3.48994i | 0.0519760 | + | 0.116721i | ||||
\(895\) | −52.2069 | − | 9.20548i | −1.74508 | − | 0.307705i | ||||
\(896\) | −26.7653 | − | 22.4587i | −0.894165 | − | 0.750294i | ||||
\(897\) | −14.3747 | + | 1.00605i | −0.479957 | + | 0.0335909i | ||||
\(898\) | −1.55738 | + | 8.83232i | −0.0519703 | + | 0.294738i | ||||
\(899\) | −14.6429 | + | 2.58193i | −0.488367 | + | 0.0861124i | ||||
\(900\) | 82.1047 | + | 17.4416i | 2.73682 | + | 0.581385i | ||||
\(901\) | 51.3510 | + | 29.6475i | 1.71075 | + | 0.987702i | ||||
\(902\) | −1.73413 | + | 0.305774i | −0.0577402 | + | 0.0101812i | ||||
\(903\) | −5.08902 | + | 10.4356i | −0.169352 | + | 0.347276i | ||||
\(904\) | −36.8309 | − | 63.7930i | −1.22498 | − | 2.12172i | ||||
\(905\) | −22.4426 | −0.746017 | ||||||||
\(906\) | −3.58241 | − | 51.1865i | −0.119017 | − | 1.70056i | ||||
\(907\) | 15.4501 | + | 2.72428i | 0.513013 | + | 0.0904581i | 0.424161 | − | 0.905587i | \(-0.360569\pi\) |
0.0888522 | + | 0.996045i | \(0.471680\pi\) | |||||||
\(908\) | −73.4321 | + | 61.6168i | −2.43693 | + | 2.04483i | ||||
\(909\) | 16.0565 | + | 6.48500i | 0.532560 | + | 0.215094i | ||||
\(910\) | 37.4774 | − | 13.6407i | 1.24236 | − | 0.452183i | ||||
\(911\) | −0.772381 | − | 1.33780i | −0.0255901 | − | 0.0443234i | 0.852947 | − | 0.521998i | \(-0.174813\pi\) |
−0.878537 | + | 0.477675i | \(0.841480\pi\) | |||||||
\(912\) | −10.8201 | − | 6.00678i | −0.358289 | − | 0.198905i | ||||
\(913\) | 0.0119788 | − | 0.0207479i | 0.000396441 | − | 0.000686656i | ||||
\(914\) | 5.02782 | − | 28.5142i | 0.166305 | − | 0.943164i | ||||
\(915\) | 11.7302 | − | 2.92542i | 0.387788 | − | 0.0967113i | ||||
\(916\) | 27.1741 | + | 9.89058i | 0.897859 | + | 0.326794i | ||||
\(917\) | 0.0122106 | − | 0.0145520i | 0.000403229 | − | 0.000480549i | ||||
\(918\) | 79.8491 | − | 32.2779i | 2.63541 | − | 1.06533i | ||||
\(919\) | −9.28314 | − | 16.0789i | −0.306222 | − | 0.530393i | 0.671310 | − | 0.741176i | \(-0.265732\pi\) |
−0.977533 | + | 0.210784i | \(0.932398\pi\) | |||||||
\(920\) | −40.0240 | −1.31955 | ||||||||
\(921\) | −0.0882209 | − | 1.26053i | −0.00290698 | − | 0.0415358i | ||||
\(922\) | 47.7307 | + | 56.8832i | 1.57193 | + | 1.87335i | ||||
\(923\) | 15.4216 | − | 8.90366i | 0.507608 | − | 0.293067i | ||||
\(924\) | 0.719081 | + | 0.0755347i | 0.0236560 | + | 0.00248491i | ||||
\(925\) | 39.0877 | + | 46.5829i | 1.28520 | + | 1.53164i | ||||
\(926\) | −32.8506 | − | 27.5650i | −1.07954 | − | 0.905841i | ||||
\(927\) | 17.1658 | − | 27.4784i | 0.563799 | − | 0.902509i | ||||
\(928\) | −3.59343 | + | 20.3793i | −0.117960 | + | 0.668984i | ||||
\(929\) | −4.09919 | + | 4.88523i | −0.134490 | + | 0.160279i | −0.829086 | − | 0.559121i | \(-0.811139\pi\) |
0.694596 | + | 0.719400i | \(0.255583\pi\) | |||||||
\(930\) | 3.93107 | − | 37.4233i | 0.128905 | − | 1.22716i | ||||
\(931\) | −14.9953 | − | 9.75308i | −0.491451 | − | 0.319644i | ||||
\(932\) | 25.9687 | + | 14.9930i | 0.850633 | + | 0.491113i | ||||
\(933\) | −6.72780 | + | 1.67786i | −0.220258 | + | 0.0549306i | ||||
\(934\) | 31.1238 | + | 85.5120i | 1.01840 | + | 2.79804i | ||||
\(935\) | 1.10798 | + | 1.32044i | 0.0362347 | + | 0.0431829i | ||||
\(936\) | 28.7030 | + | 11.5928i | 0.938188 | + | 0.378921i | ||||
\(937\) | −4.16870 | − | 23.6419i | −0.136186 | − | 0.772347i | −0.974027 | − | 0.226433i | \(-0.927294\pi\) |
0.837841 | − | 0.545914i | \(-0.183817\pi\) | |||||||
\(938\) | 28.0288 | + | 16.1824i | 0.915172 | + | 0.528375i | ||||
\(939\) | −4.01778 | + | 1.78912i | −0.131115 | + | 0.0583858i | ||||
\(940\) | −7.11274 | + | 5.96830i | −0.231992 | + | 0.194664i | ||||
\(941\) | −0.813201 | + | 0.682357i | −0.0265096 | + | 0.0222442i | −0.655946 | − | 0.754808i | \(-0.727730\pi\) |
0.629437 | + | 0.777052i | \(0.283286\pi\) | |||||||
\(942\) | 4.98076 | − | 47.4162i | 0.162282 | − | 1.54490i | ||||
\(943\) | −28.2665 | − | 16.3197i | −0.920483 | − | 0.531441i | ||||
\(944\) | −3.17269 | − | 17.9932i | −0.103262 | − | 0.585629i | ||||
\(945\) | −16.7850 | − | 26.8508i | −0.546015 | − | 0.873455i | ||||
\(946\) | −0.410047 | − | 0.488675i | −0.0133318 | − | 0.0158882i | ||||
\(947\) | 10.1404 | + | 27.8606i | 0.329520 | + | 0.905349i | 0.988233 | + | 0.152955i | \(0.0488788\pi\) |
−0.658713 | + | 0.752394i | \(0.728899\pi\) | |||||||
\(948\) | 46.1486 | + | 47.7825i | 1.49884 | + | 1.55190i | ||||
\(949\) | −17.7552 | − | 10.2510i | −0.576359 | − | 0.332761i | ||||
\(950\) | −71.7718 | + | 36.5059i | −2.32858 | + | 1.18441i | ||||
\(951\) | −44.8788 | − | 32.6022i | −1.45529 | − | 1.05720i | ||||
\(952\) | 28.5874 | − | 34.0692i | 0.926524 | − | 1.10419i | ||||
\(953\) | −6.61263 | + | 37.5021i | −0.214204 | + | 1.21481i | 0.668078 | + | 0.744091i | \(0.267117\pi\) |
−0.882282 | + | 0.470721i | \(0.843994\pi\) | |||||||
\(954\) | 52.8405 | − | 28.1040i | 1.71077 | − | 0.909899i | ||||
\(955\) | −52.8120 | − | 44.3146i | −1.70896 | − | 1.43399i | ||||
\(956\) | −45.8804 | − | 54.6781i | −1.48388 | − | 1.76842i | ||||
\(957\) | −0.279658 | − | 0.628020i | −0.00904005 | − | 0.0203010i | ||||
\(958\) | −37.4950 | + | 21.6477i | −1.21141 | + | 0.699407i | ||||
\(959\) | 3.56883 | + | 4.25317i | 0.115244 | + | 0.137342i | ||||
\(960\) | −65.3479 | − | 31.8674i | −2.10909 | − | 1.02852i | ||||
\(961\) | 24.3995 | 0.787081 | ||||||||
\(962\) | 25.4373 | + | 44.0586i | 0.820130 | + | 1.42051i | ||||
\(963\) | −30.4962 | − | 19.0511i | −0.982727 | − | 0.613912i | ||||
\(964\) | −15.4402 | + | 18.4009i | −0.497295 | + | 0.592653i | ||||
\(965\) | 46.5848 | + | 16.9555i | 1.49962 | + | 0.545817i | ||||
\(966\) | 14.5166 | + | 15.0306i | 0.467065 | + | 0.483602i | ||||
\(967\) | 7.73515 | − | 43.8682i | 0.248746 | − | 1.41071i | −0.562884 | − | 0.826536i | \(-0.690308\pi\) |
0.811630 | − | 0.584172i | \(-0.198580\pi\) | |||||||
\(968\) | 20.4693 | − | 35.4539i | 0.657908 | − | 1.13953i | ||||
\(969\) | −25.7205 | + | 46.3307i | −0.826262 | + | 1.48836i | ||||
\(970\) | 16.0989 | + | 27.8840i | 0.516903 | + | 0.895303i | ||||
\(971\) | −47.0073 | + | 17.1093i | −1.50854 | + | 0.549063i | −0.958255 | − | 0.285916i | \(-0.907702\pi\) |
−0.550282 | + | 0.834979i | \(0.685480\pi\) | |||||||
\(972\) | 9.66517 | − | 54.9105i | 0.310010 | − | 1.76126i | ||||
\(973\) | 11.1383 | − | 9.34616i | 0.357078 | − | 0.299624i | ||||
\(974\) | 13.2819 | + | 2.34197i | 0.425581 | + | 0.0750414i | ||||
\(975\) | 31.1289 | − | 20.9994i | 0.996923 | − | 0.672520i | ||||
\(976\) | 3.19512 | 0.102273 | ||||||||
\(977\) | 10.2848 | + | 17.8137i | 0.329039 | + | 0.569912i | 0.982321 | − | 0.187202i | \(-0.0599420\pi\) |
−0.653283 | + | 0.757114i | \(0.726609\pi\) | |||||||
\(978\) | 40.5087 | + | 60.0488i | 1.29533 | + | 1.92015i | ||||
\(979\) | 0.342985 | − | 0.0604776i | 0.0109619 | − | 0.00193287i | ||||
\(980\) | 45.5180 | + | 26.2798i | 1.45402 | + | 0.839479i | ||||
\(981\) | −1.62397 | + | 7.64473i | −0.0518495 | + | 0.244077i | ||||
\(982\) | −4.90760 | + | 0.865342i | −0.156608 | + | 0.0276142i | ||||
\(983\) | −2.52803 | + | 14.3371i | −0.0806315 | + | 0.457284i | 0.917583 | + | 0.397545i | \(0.130138\pi\) |
−0.998214 | + | 0.0597387i | \(0.980973\pi\) | |||||||
\(984\) | 39.2123 | + | 58.1271i | 1.25004 | + | 1.85303i | ||||
\(985\) | −32.0914 | − | 26.9279i | −1.02252 | − | 0.857995i | ||||
\(986\) | −94.4697 | − | 16.6576i | −3.00853 | − | 0.530485i | ||||
\(987\) | 2.12524 | + | 0.223243i | 0.0676472 | + | 0.00710589i | ||||
\(988\) | −41.3274 | + | 12.6032i | −1.31480 | + | 0.400963i | ||||
\(989\) | − | 11.8243i | − | 0.375992i | ||||||
\(990\) | 1.72286 | − | 0.242344i | 0.0547561 | − | 0.00770219i | ||||
\(991\) | 16.0707 | + | 2.83370i | 0.510503 | + | 0.0900155i | 0.422966 | − | 0.906146i | \(-0.360989\pi\) |
0.0875375 | + | 0.996161i | \(0.472100\pi\) | |||||||
\(992\) | −3.14190 | + | 8.63229i | −0.0997553 | + | 0.274075i | ||||
\(993\) | −43.1904 | + | 10.7713i | −1.37061 | + | 0.341818i | ||||
\(994\) | −24.2657 | − | 8.83199i | −0.769661 | − | 0.280134i | ||||
\(995\) | 19.3125i | 0.612249i | ||||||||
\(996\) | −2.15225 | − | 0.226079i | −0.0681966 | − | 0.00716360i | ||||
\(997\) | −6.82225 | − | 38.6909i | −0.216063 | − | 1.22535i | −0.879052 | − | 0.476725i | \(-0.841824\pi\) |
0.662989 | − | 0.748629i | \(-0.269287\pi\) | |||||||
\(998\) | 14.1106 | + | 5.13585i | 0.446664 | + | 0.162573i | ||||
\(999\) | 30.0127 | − | 27.0333i | 0.949558 | − | 0.855297i |
(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 | 171.2.x.a.14.3 | ✓ | 108 | |
3.2 | odd | 2 | 513.2.bo.a.71.16 | 108 | |||
9.2 | odd | 6 | 171.2.bd.a.128.16 | yes | 108 | ||
9.7 | even | 3 | 513.2.cd.a.413.3 | 108 | |||
19.15 | odd | 18 | 171.2.bd.a.167.16 | yes | 108 | ||
57.53 | even | 18 | 513.2.cd.a.395.3 | 108 | |||
171.34 | odd | 18 | 513.2.bo.a.224.16 | 108 | |||
171.110 | even | 18 | inner | 171.2.x.a.110.3 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.3 | ✓ | 108 | 1.1 | even | 1 | trivial | |
171.2.x.a.110.3 | yes | 108 | 171.110 | even | 18 | inner | |
171.2.bd.a.128.16 | yes | 108 | 9.2 | odd | 6 | ||
171.2.bd.a.167.16 | yes | 108 | 19.15 | odd | 18 | ||
513.2.bo.a.71.16 | 108 | 3.2 | odd | 2 | |||
513.2.bo.a.224.16 | 108 | 171.34 | odd | 18 | |||
513.2.cd.a.395.3 | 108 | 57.53 | even | 18 | |||
513.2.cd.a.413.3 | 108 | 9.7 | even | 3 |