Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.30 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.30 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | 0.110426 | − | 1.72853i | 0.0637545 | − | 0.997966i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 2.23176 | − | 0.138722i | 0.998074 | − | 0.0620383i | ||||
\(6\) | −1.25315 | − | 1.19567i | −0.511596 | − | 0.488129i | ||||
\(7\) | 2.23292 | − | 1.28917i | 0.843963 | − | 0.487262i | −0.0146466 | − | 0.999893i | \(-0.504662\pi\) |
0.858609 | + | 0.512631i | \(0.171329\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | −2.97561 | − | 0.381749i | −0.991871 | − | 0.127250i | ||||
\(10\) | 1.32828 | − | 1.79880i | 0.420039 | − | 0.568829i | ||||
\(11\) | −2.63216 | − | 1.51968i | −0.793625 | − | 0.458199i | 0.0476123 | − | 0.998866i | \(-0.484839\pi\) |
−0.841237 | + | 0.540666i | \(0.818172\pi\) | |||||||
\(12\) | −1.72144 | + | 0.191407i | −0.496938 | + | 0.0552545i | ||||
\(13\) | 3.00072 | + | 1.09217i | 0.832251 | + | 0.302915i | 0.722782 | − | 0.691076i | \(-0.242863\pi\) |
0.109468 | + | 0.993990i | \(0.465085\pi\) | |||||||
\(14\) | 0.447726 | − | 2.53918i | 0.119660 | − | 0.678624i | ||||
\(15\) | 0.00666010 | − | 3.87298i | 0.00171963 | − | 0.999999i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 1.98096 | + | 1.66223i | 0.480454 | + | 0.403149i | 0.850591 | − | 0.525828i | \(-0.176245\pi\) |
−0.370136 | + | 0.928977i | \(0.620689\pi\) | |||||||
\(18\) | −2.20512 | + | 2.03407i | −0.519753 | + | 0.479434i | ||||
\(19\) | −0.765809 | + | 4.29110i | −0.175689 | + | 0.984446i | ||||
\(20\) | −0.524156 | − | 2.17377i | −0.117205 | − | 0.486069i | ||||
\(21\) | −1.98180 | − | 4.00201i | −0.432464 | − | 0.873311i | ||||
\(22\) | −2.85606 | + | 1.03952i | −0.608913 | + | 0.221626i | ||||
\(23\) | −0.878472 | − | 4.98206i | −0.183174 | − | 1.03883i | −0.928279 | − | 0.371884i | \(-0.878712\pi\) |
0.745105 | − | 0.666947i | \(-0.232399\pi\) | |||||||
\(24\) | −0.959895 | + | 1.44174i | −0.195938 | + | 0.294293i | ||||
\(25\) | 4.96151 | − | 0.619188i | 0.992303 | − | 0.123838i | ||||
\(26\) | 2.76548 | − | 1.59665i | 0.542356 | − | 0.313129i | ||||
\(27\) | −0.988448 | + | 5.10127i | −0.190227 | + | 0.981740i | ||||
\(28\) | −1.65733 | − | 1.97513i | −0.313206 | − | 0.373264i | ||||
\(29\) | 0.575080 | − | 0.482549i | 0.106790 | − | 0.0896071i | −0.587829 | − | 0.808985i | \(-0.700017\pi\) |
0.694619 | + | 0.719378i | \(0.255573\pi\) | |||||||
\(30\) | −2.96259 | − | 2.49460i | −0.540893 | − | 0.455450i | ||||
\(31\) | −7.47727 | + | 4.31700i | −1.34296 | + | 0.775357i | −0.987240 | − | 0.159237i | \(-0.949097\pi\) |
−0.355717 | + | 0.934594i | \(0.615763\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | −2.91746 | + | 4.38194i | −0.507864 | + | 0.762798i | ||||
\(34\) | 2.54668 | − | 0.449048i | 0.436752 | − | 0.0770111i | ||||
\(35\) | 4.80450 | − | 3.18688i | 0.812108 | − | 0.538681i | ||||
\(36\) | 0.140760 | + | 2.99670i | 0.0234601 | + | 0.499449i | ||||
\(37\) | 6.30256 | 1.03613 | 0.518067 | − | 0.855340i | \(-0.326652\pi\) | ||||
0.518067 | + | 0.855340i | \(0.326652\pi\) | |||||||
\(38\) | 2.79492 | + | 3.34491i | 0.453396 | + | 0.542616i | ||||
\(39\) | 2.21921 | − | 5.06623i | 0.355358 | − | 0.811246i | ||||
\(40\) | −2.00212 | − | 0.995744i | −0.316563 | − | 0.157441i | ||||
\(41\) | 0.243797 | − | 0.0887348i | 0.0380747 | − | 0.0138580i | −0.322913 | − | 0.946429i | \(-0.604662\pi\) |
0.360987 | + | 0.932571i | \(0.382440\pi\) | |||||||
\(42\) | −4.33960 | − | 1.05430i | −0.669614 | − | 0.162682i | ||||
\(43\) | −5.12343 | − | 0.903399i | −0.781316 | − | 0.137767i | −0.231257 | − | 0.972893i | \(-0.574284\pi\) |
−0.550059 | + | 0.835126i | \(0.685395\pi\) | |||||||
\(44\) | −1.03952 | + | 2.85606i | −0.156713 | + | 0.430567i | ||||
\(45\) | −6.69381 | − | 0.439190i | −0.997855 | − | 0.0654706i | ||||
\(46\) | −4.38115 | − | 2.52946i | −0.645965 | − | 0.372948i | ||||
\(47\) | −6.62526 | + | 5.55925i | −0.966394 | + | 0.810901i | −0.981981 | − | 0.188978i | \(-0.939483\pi\) |
0.0155877 | + | 0.999879i | \(0.495038\pi\) | |||||||
\(48\) | 0.487425 | + | 1.66205i | 0.0703537 | + | 0.239897i | ||||
\(49\) | −0.176060 | + | 0.304944i | −0.0251514 | + | 0.0435635i | ||||
\(50\) | 2.71487 | − | 4.19875i | 0.383941 | − | 0.593792i | ||||
\(51\) | 3.09195 | − | 3.24060i | 0.432960 | − | 0.453774i | ||||
\(52\) | 0.554511 | − | 3.14479i | 0.0768969 | − | 0.436104i | ||||
\(53\) | −4.33290 | + | 0.764007i | −0.595169 | + | 0.104944i | −0.463115 | − | 0.886298i | \(-0.653268\pi\) |
−0.132054 | + | 0.991243i | \(0.542157\pi\) | |||||||
\(54\) | 3.27244 | + | 4.03623i | 0.445322 | + | 0.549261i | ||||
\(55\) | −6.08515 | − | 3.02642i | −0.820522 | − | 0.408082i | ||||
\(56\) | −2.57835 | −0.344546 | ||||||||
\(57\) | 7.33272 | + | 1.79757i | 0.971242 | + | 0.238094i | ||||
\(58\) | − | 0.750713i | − | 0.0985735i | ||||||
\(59\) | 3.10411 | + | 2.60465i | 0.404120 | + | 0.339097i | 0.822084 | − | 0.569367i | \(-0.192812\pi\) |
−0.417963 | + | 0.908464i | \(0.637256\pi\) | |||||||
\(60\) | −3.81529 | + | 0.665977i | −0.492552 | + | 0.0859772i | ||||
\(61\) | −1.76508 | − | 10.0103i | −0.225996 | − | 1.28169i | −0.860772 | − | 0.508990i | \(-0.830019\pi\) |
0.634777 | − | 0.772696i | \(-0.281092\pi\) | |||||||
\(62\) | −1.49928 | + | 8.50284i | −0.190409 | + | 1.07986i | ||||
\(63\) | −7.13643 | + | 2.98367i | −0.899106 | + | 0.375907i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 6.84840 | + | 2.02120i | 0.849440 | + | 0.250700i | ||||
\(66\) | 1.48145 | + | 5.05156i | 0.182354 | + | 0.621804i | ||||
\(67\) | 9.42846 | − | 7.91141i | 1.15187 | − | 0.966533i | 0.152108 | − | 0.988364i | \(-0.451394\pi\) |
0.999762 | + | 0.0218308i | \(0.00694950\pi\) | |||||||
\(68\) | 1.29298 | − | 2.23951i | 0.156797 | − | 0.271581i | ||||
\(69\) | −8.70863 | + | 0.968313i | −1.04840 | + | 0.116571i | ||||
\(70\) | 0.646977 | − | 5.72895i | 0.0773285 | − | 0.684740i | ||||
\(71\) | 0.792828 | − | 4.49635i | 0.0940914 | − | 0.533619i | −0.900931 | − | 0.433963i | \(-0.857115\pi\) |
0.995022 | − | 0.0996557i | \(-0.0317741\pi\) | |||||||
\(72\) | 2.38608 | + | 1.81841i | 0.281202 | + | 0.214302i | ||||
\(73\) | 3.36404 | + | 9.24263i | 0.393731 | + | 1.08177i | 0.965284 | + | 0.261202i | \(0.0841190\pi\) |
−0.571553 | + | 0.820565i | \(0.693659\pi\) | |||||||
\(74\) | 4.05121 | − | 4.82804i | 0.470944 | − | 0.561249i | ||||
\(75\) | −0.522403 | − | 8.64448i | −0.0603219 | − | 0.998179i | ||||
\(76\) | 4.35889 | + | 0.00903289i | 0.499999 | + | 0.00103614i | ||||
\(77\) | −7.83651 | −0.893053 | ||||||||
\(78\) | −2.45447 | − | 4.95652i | −0.277914 | − | 0.561216i | ||||
\(79\) | 5.67129 | + | 15.5817i | 0.638070 | + | 1.75308i | 0.657705 | + | 0.753275i | \(0.271527\pi\) |
−0.0196355 | + | 0.999807i | \(0.506251\pi\) | |||||||
\(80\) | −2.04972 | + | 0.893663i | −0.229166 | + | 0.0999146i | ||||
\(81\) | 8.70854 | + | 2.27187i | 0.967615 | + | 0.252430i | ||||
\(82\) | 0.0887348 | − | 0.243797i | 0.00979912 | − | 0.0269228i | ||||
\(83\) | −0.188516 | − | 0.326520i | −0.0206923 | − | 0.0358402i | 0.855494 | − | 0.517813i | \(-0.173254\pi\) |
−0.876186 | + | 0.481973i | \(0.839920\pi\) | |||||||
\(84\) | −3.59708 | + | 2.64663i | −0.392473 | + | 0.288772i | ||||
\(85\) | 4.65162 | + | 3.43489i | 0.504539 | + | 0.372566i | ||||
\(86\) | −3.98532 | + | 3.34408i | −0.429748 | + | 0.360602i | ||||
\(87\) | −0.770596 | − | 1.04733i | −0.0826165 | − | 0.112285i | ||||
\(88\) | 1.51968 | + | 2.63216i | 0.161998 | + | 0.280589i | ||||
\(89\) | 12.2942 | + | 4.47471i | 1.30318 | + | 0.474318i | 0.898031 | − | 0.439933i | \(-0.144998\pi\) |
0.405148 | + | 0.914251i | \(0.367220\pi\) | |||||||
\(90\) | −4.63914 | + | 4.84545i | −0.489008 | + | 0.510755i | ||||
\(91\) | 8.10836 | − | 1.42972i | 0.849987 | − | 0.149876i | ||||
\(92\) | −4.75383 | + | 1.73025i | −0.495621 | + | 0.180391i | ||||
\(93\) | 6.63637 | + | 13.4014i | 0.688160 | + | 1.38966i | ||||
\(94\) | 8.64866i | 0.892042i | ||||||||
\(95\) | −1.11383 | + | 9.68294i | −0.114277 | + | 0.993449i | ||||
\(96\) | 1.58652 | + | 0.694958i | 0.161923 | + | 0.0709288i | ||||
\(97\) | −1.74154 | − | 1.46132i | −0.176826 | − | 0.148375i | 0.550079 | − | 0.835113i | \(-0.314598\pi\) |
−0.726905 | + | 0.686738i | \(0.759042\pi\) | |||||||
\(98\) | 0.120432 | + | 0.330884i | 0.0121655 | + | 0.0334243i | ||||
\(99\) | 7.25214 | + | 5.52679i | 0.728867 | + | 0.555463i | ||||
\(100\) | −1.47134 | − | 4.77862i | −0.147134 | − | 0.477862i | ||||
\(101\) | −6.04590 | + | 16.6110i | −0.601590 | + | 1.65285i | 0.146465 | + | 0.989216i | \(0.453211\pi\) |
−0.748054 | + | 0.663638i | \(0.769012\pi\) | |||||||
\(102\) | −0.494972 | − | 4.45159i | −0.0490095 | − | 0.440773i | ||||
\(103\) | 9.43548 | − | 16.3427i | 0.929706 | − | 1.61030i | 0.145894 | − | 0.989300i | \(-0.453394\pi\) |
0.783812 | − | 0.620998i | \(-0.213272\pi\) | |||||||
\(104\) | −2.05262 | − | 2.44621i | −0.201276 | − | 0.239871i | ||||
\(105\) | −4.97807 | − | 8.65662i | −0.485810 | − | 0.844799i | ||||
\(106\) | −2.19987 | + | 3.81029i | −0.213670 | + | 0.370088i | ||||
\(107\) | 4.22569 | − | 2.43970i | 0.408513 | − | 0.235855i | −0.281638 | − | 0.959521i | \(-0.590878\pi\) |
0.690150 | + | 0.723666i | \(0.257544\pi\) | |||||||
\(108\) | 5.19541 | + | 0.0876053i | 0.499929 | + | 0.00842982i | ||||
\(109\) | 9.30022 | + | 1.63988i | 0.890800 | + | 0.157072i | 0.600273 | − | 0.799795i | \(-0.295059\pi\) |
0.290526 | + | 0.956867i | \(0.406170\pi\) | |||||||
\(110\) | −6.22983 | + | 2.71616i | −0.593991 | + | 0.258975i | ||||
\(111\) | 0.695967 | − | 10.8942i | 0.0660583 | − | 1.03403i | ||||
\(112\) | −1.65733 | + | 1.97513i | −0.156603 | + | 0.186632i | ||||
\(113\) | − | 15.0987i | − | 1.42037i | −0.704015 | − | 0.710185i | \(-0.748611\pi\) | ||
0.704015 | − | 0.710185i | \(-0.251389\pi\) | |||||||
\(114\) | 6.09040 | − | 4.46173i | 0.570418 | − | 0.417879i | ||||
\(115\) | −2.65166 | − | 10.9969i | −0.247268 | − | 1.02547i | ||||
\(116\) | −0.575080 | − | 0.482549i | −0.0533948 | − | 0.0448036i | ||||
\(117\) | −8.51205 | − | 4.39541i | −0.786939 | − | 0.406356i | ||||
\(118\) | 3.99056 | − | 0.703644i | 0.367361 | − | 0.0647756i | ||||
\(119\) | 6.56622 | + | 1.15780i | 0.601925 | + | 0.106136i | ||||
\(120\) | −1.94226 | + | 3.35077i | −0.177303 | + | 0.305882i | ||||
\(121\) | −0.881171 | − | 1.52623i | −0.0801065 | − | 0.138748i | ||||
\(122\) | −8.80290 | − | 5.08235i | −0.796977 | − | 0.460135i | ||||
\(123\) | −0.126459 | − | 0.431208i | −0.0114024 | − | 0.0388807i | ||||
\(124\) | 5.54983 | + | 6.61403i | 0.498390 | + | 0.593958i | ||||
\(125\) | 10.9870 | − | 2.07015i | 0.982708 | − | 0.185160i | ||||
\(126\) | −2.30159 | + | 7.38469i | −0.205042 | + | 0.657880i | ||||
\(127\) | 8.21768 | + | 2.99099i | 0.729201 | + | 0.265407i | 0.679827 | − | 0.733373i | \(-0.262055\pi\) |
0.0493745 | + | 0.998780i | \(0.484277\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | −2.12731 | + | 8.75623i | −0.187299 | + | 0.770943i | ||||
\(130\) | 5.95040 | − | 3.94698i | 0.521885 | − | 0.346173i | ||||
\(131\) | −4.71317 | + | 5.61694i | −0.411792 | + | 0.490754i | −0.931578 | − | 0.363542i | \(-0.881567\pi\) |
0.519786 | + | 0.854296i | \(0.326012\pi\) | |||||||
\(132\) | 4.82198 | + | 2.11222i | 0.419700 | + | 0.183845i | ||||
\(133\) | 3.82199 | + | 10.5689i | 0.331408 | + | 0.916442i | ||||
\(134\) | − | 12.3080i | − | 1.06325i | ||||||
\(135\) | −1.49832 | + | 11.5219i | −0.128955 | + | 0.991650i | ||||
\(136\) | −0.884452 | − | 2.43001i | −0.0758411 | − | 0.208372i | ||||
\(137\) | 2.36868 | + | 13.4335i | 0.202370 | + | 1.14770i | 0.901525 | + | 0.432727i | \(0.142449\pi\) |
−0.699155 | + | 0.714970i | \(0.746440\pi\) | |||||||
\(138\) | −4.85603 | + | 7.29362i | −0.413373 | + | 0.620874i | ||||
\(139\) | 3.61784 | + | 1.31679i | 0.306861 | + | 0.111688i | 0.490861 | − | 0.871238i | \(-0.336682\pi\) |
−0.184000 | + | 0.982926i | \(0.558905\pi\) | |||||||
\(140\) | −3.97276 | − | 4.17811i | −0.335759 | − | 0.353115i | ||||
\(141\) | 8.87772 | + | 12.0658i | 0.747639 | + | 1.01613i | ||||
\(142\) | −2.93479 | − | 3.49754i | −0.246282 | − | 0.293507i | ||||
\(143\) | −6.23862 | − | 7.43490i | −0.521700 | − | 0.621737i | ||||
\(144\) | 2.92673 | − | 0.658993i | 0.243894 | − | 0.0549161i | ||||
\(145\) | 1.21650 | − | 1.15671i | 0.101025 | − | 0.0960596i | ||||
\(146\) | 9.24263 | + | 3.36404i | 0.764925 | + | 0.278410i | ||||
\(147\) | 0.507663 | + | 0.337998i | 0.0418713 | + | 0.0278776i | ||||
\(148\) | −1.09443 | − | 6.20681i | −0.0899615 | − | 0.510197i | ||||
\(149\) | 2.96349 | + | 8.14212i | 0.242779 | + | 0.667029i | 0.999905 | + | 0.0137607i | \(0.00438029\pi\) |
−0.757127 | + | 0.653268i | \(0.773397\pi\) | |||||||
\(150\) | −6.95785 | − | 5.15638i | −0.568106 | − | 0.421017i | ||||
\(151\) | − | 20.8663i | − | 1.69808i | −0.528329 | − | 0.849039i | \(-0.677181\pi\) | ||
0.528329 | − | 0.849039i | \(-0.322819\pi\) | |||||||
\(152\) | 2.80876 | − | 3.33330i | 0.227821 | − | 0.270366i | ||||
\(153\) | −5.26003 | − | 5.70237i | −0.425248 | − | 0.461009i | ||||
\(154\) | −5.03721 | + | 6.00311i | −0.405910 | + | 0.483745i | ||||
\(155\) | −16.0886 | + | 10.6718i | −1.29227 | + | 0.857178i | ||||
\(156\) | −5.37462 | − | 1.30575i | −0.430314 | − | 0.104544i | ||||
\(157\) | −12.0780 | − | 2.12967i | −0.963927 | − | 0.169966i | −0.330532 | − | 0.943795i | \(-0.607228\pi\) |
−0.633395 | + | 0.773828i | \(0.718339\pi\) | |||||||
\(158\) | 15.5817 | + | 5.67129i | 1.23962 | + | 0.451184i | ||||
\(159\) | 0.842142 | + | 7.57390i | 0.0667862 | + | 0.600649i | ||||
\(160\) | −0.632951 | + | 2.14461i | −0.0500392 | + | 0.169547i | ||||
\(161\) | −8.38430 | − | 9.99201i | −0.660775 | − | 0.787481i | ||||
\(162\) | 7.33809 | − | 5.21079i | 0.576535 | − | 0.409399i | ||||
\(163\) | −12.7934 | − | 7.38628i | −1.00206 | − | 0.578538i | −0.0932006 | − | 0.995647i | \(-0.529710\pi\) |
−0.908856 | + | 0.417110i | \(0.863043\pi\) | |||||||
\(164\) | −0.129722 | − | 0.224684i | −0.0101296 | − | 0.0175449i | ||||
\(165\) | −5.90320 | + | 10.1842i | −0.459564 | + | 0.792836i | ||||
\(166\) | −0.371304 | − | 0.0654710i | −0.0288188 | − | 0.00508153i | ||||
\(167\) | −14.3580 | + | 2.53171i | −1.11106 | + | 0.195910i | −0.698912 | − | 0.715208i | \(-0.746332\pi\) |
−0.412147 | + | 0.911117i | \(0.635221\pi\) | |||||||
\(168\) | −0.284717 | + | 4.45675i | −0.0219664 | + | 0.343845i | ||||
\(169\) | −2.14708 | − | 1.80162i | −0.165160 | − | 0.138586i | ||||
\(170\) | 5.62128 | − | 1.35545i | 0.431133 | − | 0.103958i | ||||
\(171\) | 3.91687 | − | 12.4763i | 0.299531 | − | 0.954087i | ||||
\(172\) | 5.20247i | 0.396685i | ||||||||
\(173\) | −5.48244 | + | 6.53372i | −0.416822 | + | 0.496749i | −0.933072 | − | 0.359688i | \(-0.882883\pi\) |
0.516250 | + | 0.856438i | \(0.327327\pi\) | |||||||
\(174\) | −1.29763 | − | 0.0828983i | −0.0983729 | − | 0.00628450i | ||||
\(175\) | 10.2804 | − | 7.77885i | 0.777125 | − | 0.588026i | ||||
\(176\) | 2.99318 | + | 0.527778i | 0.225619 | + | 0.0397828i | ||||
\(177\) | 4.84499 | − | 5.07791i | 0.364172 | − | 0.381679i | ||||
\(178\) | 11.3304 | − | 6.54159i | 0.849246 | − | 0.490313i | ||||
\(179\) | −9.23826 | + | 16.0011i | −0.690500 | + | 1.19598i | 0.281174 | + | 0.959657i | \(0.409276\pi\) |
−0.971674 | + | 0.236325i | \(0.924057\pi\) | |||||||
\(180\) | 0.729851 | + | 6.66838i | 0.0543999 | + | 0.497032i | ||||
\(181\) | 1.41286 | + | 1.68378i | 0.105017 | + | 0.125154i | 0.815993 | − | 0.578062i | \(-0.196191\pi\) |
−0.710976 | + | 0.703217i | \(0.751746\pi\) | |||||||
\(182\) | 4.11672 | − | 7.13037i | 0.305152 | − | 0.528539i | ||||
\(183\) | −17.4980 | + | 1.94560i | −1.29349 | + | 0.143823i | ||||
\(184\) | −1.73025 | + | 4.75383i | −0.127556 | + | 0.350457i | ||||
\(185\) | 14.0658 | − | 0.874303i | 1.03414 | − | 0.0642800i | ||||
\(186\) | 14.5318 | + | 3.53048i | 1.06552 | + | 0.258867i | ||||
\(187\) | −2.68816 | − | 7.38566i | −0.196578 | − | 0.540093i | ||||
\(188\) | 6.62526 | + | 5.55925i | 0.483197 | + | 0.405450i | ||||
\(189\) | 4.36931 | + | 12.6650i | 0.317820 | + | 0.921242i | ||||
\(190\) | 6.70161 | + | 7.07732i | 0.486186 | + | 0.513443i | ||||
\(191\) | − | 1.78914i | − | 0.129458i | −0.997903 | − | 0.0647288i | \(-0.979382\pi\) | ||
0.997903 | − | 0.0647288i | \(-0.0206182\pi\) | |||||||
\(192\) | 1.55216 | − | 0.768632i | 0.112018 | − | 0.0554712i | ||||
\(193\) | −3.02656 | + | 1.10158i | −0.217856 | + | 0.0792933i | −0.448643 | − | 0.893711i | \(-0.648092\pi\) |
0.230786 | + | 0.973004i | \(0.425870\pi\) | |||||||
\(194\) | −2.23888 | + | 0.394774i | −0.160742 | + | 0.0283431i | ||||
\(195\) | 4.24995 | − | 11.6145i | 0.304345 | − | 0.831729i | ||||
\(196\) | 0.330884 | + | 0.120432i | 0.0236346 | + | 0.00860228i | ||||
\(197\) | −1.60586 | − | 2.78142i | −0.114413 | − | 0.198168i | 0.803132 | − | 0.595801i | \(-0.203165\pi\) |
−0.917545 | + | 0.397633i | \(0.869832\pi\) | |||||||
\(198\) | 8.89535 | − | 2.00291i | 0.632165 | − | 0.142341i | ||||
\(199\) | −2.53556 | + | 2.12759i | −0.179741 | + | 0.150821i | −0.728219 | − | 0.685344i | \(-0.759652\pi\) |
0.548478 | + | 0.836165i | \(0.315207\pi\) | |||||||
\(200\) | −4.60639 | − | 1.94452i | −0.325721 | − | 0.137499i | ||||
\(201\) | −12.6339 | − | 17.1710i | −0.891130 | − | 1.21115i | ||||
\(202\) | 8.83851 | + | 15.3088i | 0.621876 | + | 1.07712i | ||||
\(203\) | 0.662014 | − | 1.81887i | 0.0464643 | − | 0.127660i | ||||
\(204\) | −3.72828 | − | 2.48225i | −0.261032 | − | 0.173793i | ||||
\(205\) | 0.531787 | − | 0.231855i | 0.0371416 | − | 0.0161934i | ||||
\(206\) | −6.45425 | − | 17.7329i | −0.449689 | − | 1.23551i | ||||
\(207\) | 0.712095 | + | 15.1600i | 0.0494940 | + | 1.05370i | ||||
\(208\) | −3.19330 | −0.221416 | ||||||||
\(209\) | 8.53681 | − | 10.1311i | 0.590503 | − | 0.700780i | ||||
\(210\) | −9.83120 | − | 1.75094i | −0.678417 | − | 0.120826i | ||||
\(211\) | −1.65133 | + | 1.96798i | −0.113683 | + | 0.135482i | −0.819885 | − | 0.572529i | \(-0.805963\pi\) |
0.706202 | + | 0.708010i | \(0.250407\pi\) | |||||||
\(212\) | 1.50480 | + | 4.13440i | 0.103350 | + | 0.283952i | ||||
\(213\) | −7.68452 | − | 1.86694i | −0.526535 | − | 0.127921i | ||||
\(214\) | 0.847299 | − | 4.80527i | 0.0579202 | − | 0.328482i | ||||
\(215\) | −11.5596 | − | 1.30544i | −0.788358 | − | 0.0890302i | ||||
\(216\) | 3.40666 | − | 3.92361i | 0.231794 | − | 0.266968i | ||||
\(217\) | −11.1307 | + | 19.2790i | −0.755604 | + | 1.30874i | ||||
\(218\) | 7.23429 | − | 6.07029i | 0.489968 | − | 0.411132i | ||||
\(219\) | 16.3476 | − | 4.79421i | 1.10467 | − | 0.323963i | ||||
\(220\) | −1.92376 | + | 6.51824i | −0.129700 | + | 0.439460i | ||||
\(221\) | 4.12888 | + | 7.15143i | 0.277739 | + | 0.481058i | ||||
\(222\) | −7.89804 | − | 7.53577i | −0.530082 | − | 0.505768i | ||||
\(223\) | 2.61492 | − | 14.8299i | 0.175108 | − | 0.993086i | −0.762911 | − | 0.646503i | \(-0.776231\pi\) |
0.938019 | − | 0.346583i | \(-0.112658\pi\) | |||||||
\(224\) | 0.447726 | + | 2.53918i | 0.0299149 | + | 0.169656i | ||||
\(225\) | −14.9999 | − | 0.0515889i | −0.999994 | − | 0.00343926i | ||||
\(226\) | −11.5663 | − | 9.70528i | −0.769379 | − | 0.645586i | ||||
\(227\) | 12.0488i | 0.799709i | 0.916579 | + | 0.399854i | \(0.130939\pi\) | ||||
−0.916579 | + | 0.399854i | \(0.869061\pi\) | |||||||
\(228\) | 0.496949 | − | 7.53346i | 0.0329112 | − | 0.498916i | ||||
\(229\) | −14.2770 | −0.943452 | −0.471726 | − | 0.881745i | \(-0.656369\pi\) | ||||
−0.471726 | + | 0.881745i | \(0.656369\pi\) | |||||||
\(230\) | −10.1286 | − | 5.03738i | −0.667858 | − | 0.332155i | ||||
\(231\) | −0.865355 | + | 13.5456i | −0.0569362 | + | 0.891236i | ||||
\(232\) | −0.739308 | + | 0.130360i | −0.0485380 | + | 0.00855855i | ||||
\(233\) | −0.806091 | + | 4.57157i | −0.0528088 | + | 0.299493i | −0.999761 | − | 0.0218823i | \(-0.993034\pi\) |
0.946952 | + | 0.321376i | \(0.104145\pi\) | |||||||
\(234\) | −8.83852 | + | 3.69530i | −0.577792 | + | 0.241569i | ||||
\(235\) | −14.0148 | + | 13.3260i | −0.914225 | + | 0.869292i | ||||
\(236\) | 2.02606 | − | 3.50924i | 0.131885 | − | 0.228432i | ||||
\(237\) | 27.5597 | − | 8.08235i | 1.79020 | − | 0.525005i | ||||
\(238\) | 5.10761 | − | 4.28580i | 0.331077 | − | 0.277807i | ||||
\(239\) | −19.1425 | − | 11.0519i | −1.23823 | − | 0.714891i | −0.269495 | − | 0.963002i | \(-0.586857\pi\) |
−0.968732 | + | 0.248111i | \(0.920190\pi\) | |||||||
\(240\) | 1.31838 | + | 3.64169i | 0.0851009 | + | 0.235070i | ||||
\(241\) | −6.09657 | + | 16.7502i | −0.392715 | + | 1.07897i | 0.573042 | + | 0.819526i | \(0.305763\pi\) |
−0.965757 | + | 0.259449i | \(0.916459\pi\) | |||||||
\(242\) | −1.73557 | − | 0.306027i | −0.111567 | − | 0.0196722i | ||||
\(243\) | 4.88864 | − | 14.8021i | 0.313607 | − | 0.949553i | ||||
\(244\) | −9.55170 | + | 3.47654i | −0.611485 | + | 0.222562i | ||||
\(245\) | −0.350621 | + | 0.704986i | −0.0224003 | + | 0.0450399i | ||||
\(246\) | −0.411611 | − | 0.180302i | −0.0262433 | − | 0.0114956i | ||||
\(247\) | −6.98461 | + | 12.0400i | −0.444420 | + | 0.766087i | ||||
\(248\) | 8.63401 | 0.548260 | ||||||||
\(249\) | −0.585215 | + | 0.289799i | −0.0370865 | + | 0.0183653i | ||||
\(250\) | 5.47649 | − | 9.74721i | 0.346364 | − | 0.616468i | ||||
\(251\) | 22.8087 | − | 4.02179i | 1.43967 | − | 0.253853i | 0.601331 | − | 0.799000i | \(-0.294637\pi\) |
0.838340 | + | 0.545147i | \(0.183526\pi\) | |||||||
\(252\) | 4.17757 | + | 6.50990i | 0.263162 | + | 0.410085i | ||||
\(253\) | −5.25884 | + | 14.4485i | −0.330621 | + | 0.908372i | ||||
\(254\) | 7.57345 | − | 4.37254i | 0.475201 | − | 0.274357i | ||||
\(255\) | 6.45096 | − | 7.66116i | 0.403975 | − | 0.479760i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −4.65937 | − | 5.55282i | −0.290644 | − | 0.346375i | 0.600889 | − | 0.799333i | \(-0.294813\pi\) |
−0.891532 | + | 0.452957i | \(0.850369\pi\) | |||||||
\(258\) | 5.34026 | + | 7.25801i | 0.332470 | + | 0.451864i | ||||
\(259\) | 14.0731 | − | 8.12510i | 0.874459 | − | 0.504869i | ||||
\(260\) | 0.801285 | − | 7.09534i | 0.0496936 | − | 0.440034i | ||||
\(261\) | −1.89543 | + | 1.21634i | −0.117324 | + | 0.0752897i | ||||
\(262\) | 1.27326 | + | 7.22099i | 0.0786620 | + | 0.446115i | ||||
\(263\) | 15.1819 | − | 5.52575i | 0.936154 | − | 0.340732i | 0.171508 | − | 0.985183i | \(-0.445136\pi\) |
0.764646 | + | 0.644450i | \(0.222914\pi\) | |||||||
\(264\) | 4.71756 | − | 2.33614i | 0.290346 | − | 0.143780i | ||||
\(265\) | −9.56401 | + | 2.30615i | −0.587512 | + | 0.141666i | ||||
\(266\) | 10.5530 | + | 3.86576i | 0.647045 | + | 0.237025i | ||||
\(267\) | 9.09225 | − | 20.7567i | 0.556437 | − | 1.27029i | ||||
\(268\) | −9.42846 | − | 7.91141i | −0.575935 | − | 0.483267i | ||||
\(269\) | −11.3090 | + | 4.11613i | −0.689521 | + | 0.250965i | −0.662930 | − | 0.748681i | \(-0.730687\pi\) |
−0.0265908 | + | 0.999646i | \(0.508465\pi\) | |||||||
\(270\) | 7.86321 | + | 8.55394i | 0.478540 | + | 0.520576i | ||||
\(271\) | −2.06038 | + | 11.6850i | −0.125159 | + | 0.709814i | 0.856054 | + | 0.516887i | \(0.172909\pi\) |
−0.981213 | + | 0.192927i | \(0.938202\pi\) | |||||||
\(272\) | −2.43001 | − | 0.884452i | −0.147341 | − | 0.0536278i | ||||
\(273\) | −1.57594 | − | 14.1734i | −0.0953803 | − | 0.857813i | ||||
\(274\) | 11.8132 | + | 6.82034i | 0.713660 | + | 0.412032i | ||||
\(275\) | −14.0004 | − | 5.91009i | −0.844258 | − | 0.356392i | ||||
\(276\) | 2.46584 | + | 8.40818i | 0.148426 | + | 0.506113i | ||||
\(277\) | −11.1338 | − | 6.42812i | −0.668967 | − | 0.386229i | 0.126718 | − | 0.991939i | \(-0.459556\pi\) |
−0.795685 | + | 0.605710i | \(0.792889\pi\) | |||||||
\(278\) | 3.33422 | − | 1.92501i | 0.199973 | − | 0.115455i | ||||
\(279\) | 23.8975 | − | 9.99129i | 1.43070 | − | 0.598163i | ||||
\(280\) | −5.75426 | + | 0.357673i | −0.343883 | + | 0.0213751i | ||||
\(281\) | −2.78132 | − | 15.7736i | −0.165919 | − | 0.940976i | −0.948111 | − | 0.317938i | \(-0.897010\pi\) |
0.782192 | − | 0.623037i | \(-0.214102\pi\) | |||||||
\(282\) | 14.9495 | + | 0.955038i | 0.890227 | + | 0.0568717i | ||||
\(283\) | −12.1556 | + | 14.4865i | −0.722575 | + | 0.861131i | −0.994878 | − | 0.101080i | \(-0.967770\pi\) |
0.272304 | + | 0.962211i | \(0.412215\pi\) | |||||||
\(284\) | −4.56572 | −0.270925 | ||||||||
\(285\) | 16.6142 | + | 2.99454i | 0.984142 | + | 0.177381i | ||||
\(286\) | −9.70557 | −0.573902 | ||||||||
\(287\) | 0.429983 | − | 0.512434i | 0.0253811 | − | 0.0302480i | ||||
\(288\) | 1.37645 | − | 2.66559i | 0.0811079 | − | 0.157072i | ||||
\(289\) | −1.79080 | − | 10.1561i | −0.105341 | − | 0.597419i | ||||
\(290\) | −0.104140 | − | 1.67541i | −0.00611533 | − | 0.0983836i | ||||
\(291\) | −2.71825 | + | 2.84892i | −0.159346 | + | 0.167007i | ||||
\(292\) | 8.51805 | − | 4.91790i | 0.498481 | − | 0.287798i | ||||
\(293\) | 4.22699 | + | 2.44046i | 0.246944 | + | 0.142573i | 0.618364 | − | 0.785892i | \(-0.287796\pi\) |
−0.371420 | + | 0.928465i | \(0.621129\pi\) | |||||||
\(294\) | 0.585241 | − | 0.171632i | 0.0341319 | − | 0.0100098i | ||||
\(295\) | 7.28894 | + | 5.38236i | 0.424379 | + | 0.313373i | ||||
\(296\) | −5.45818 | − | 3.15128i | −0.317250 | − | 0.183165i | ||||
\(297\) | 10.3540 | − | 11.9252i | 0.600802 | − | 0.691971i | ||||
\(298\) | 8.14212 | + | 2.96349i | 0.471661 | + | 0.171670i | ||||
\(299\) | 2.80523 | − | 15.9092i | 0.162230 | − | 0.920054i | ||||
\(300\) | −8.42244 | + | 2.01557i | −0.486270 | + | 0.116369i | ||||
\(301\) | −12.6048 | + | 4.58778i | −0.726530 | + | 0.264435i | ||||
\(302\) | −15.9845 | − | 13.4126i | −0.919807 | − | 0.771810i | ||||
\(303\) | 28.0449 | + | 12.2848i | 1.61114 | + | 0.705743i | ||||
\(304\) | −0.748018 | − | 4.29424i | −0.0429018 | − | 0.246291i | ||||
\(305\) | −5.32789 | − | 22.0957i | −0.305074 | − | 1.26520i | ||||
\(306\) | −7.74935 | + | 0.364001i | −0.443001 | + | 0.0208086i | ||||
\(307\) | 4.07841 | − | 1.48442i | 0.232767 | − | 0.0847202i | −0.223003 | − | 0.974818i | \(-0.571586\pi\) |
0.455770 | + | 0.890097i | \(0.349364\pi\) | |||||||
\(308\) | 1.36080 | + | 7.71745i | 0.0775385 | + | 0.439743i | ||||
\(309\) | −27.2069 | − | 18.1142i | −1.54775 | − | 1.03048i | ||||
\(310\) | −2.16650 | + | 19.1843i | −0.123049 | + | 1.08959i | ||||
\(311\) | −21.6789 | + | 12.5163i | −1.22930 | + | 0.709736i | −0.966883 | − | 0.255219i | \(-0.917852\pi\) |
−0.262415 | + | 0.964955i | \(0.584519\pi\) | |||||||
\(312\) | −4.45501 | + | 3.27788i | −0.252215 | + | 0.185573i | ||||
\(313\) | −0.449648 | − | 0.535870i | −0.0254156 | − | 0.0302892i | 0.753187 | − | 0.657807i | \(-0.228516\pi\) |
−0.778603 | + | 0.627517i | \(0.784071\pi\) | |||||||
\(314\) | −9.39500 | + | 7.88334i | −0.530190 | + | 0.444882i | ||||
\(315\) | −15.5129 | + | 7.64882i | −0.874053 | + | 0.430962i | ||||
\(316\) | 14.3602 | − | 8.29087i | 0.807825 | − | 0.466398i | ||||
\(317\) | 5.30386 | − | 14.5722i | 0.297894 | − | 0.818458i | −0.696957 | − | 0.717113i | \(-0.745463\pi\) |
0.994851 | − | 0.101345i | \(-0.0323146\pi\) | |||||||
\(318\) | 6.34326 | + | 4.22329i | 0.355712 | + | 0.236830i | ||||
\(319\) | −2.24702 | + | 0.396210i | −0.125809 | + | 0.0221835i | ||||
\(320\) | 1.23602 | + | 1.86340i | 0.0690955 | + | 0.104167i | ||||
\(321\) | −3.75046 | − | 7.57362i | −0.209330 | − | 0.422718i | ||||
\(322\) | −13.0436 | −0.726894 | ||||||||
\(323\) | −8.64982 | + | 7.22756i | −0.481289 | + | 0.402152i | ||||
\(324\) | 0.725137 | − | 8.97074i | 0.0402854 | − | 0.498374i | ||||
\(325\) | 15.5644 | + | 3.56082i | 0.863357 | + | 0.197519i | ||||
\(326\) | −13.8817 | + | 5.05251i | −0.768834 | + | 0.279833i | ||||
\(327\) | 3.86156 | − | 15.8946i | 0.213545 | − | 0.878973i | ||||
\(328\) | −0.255502 | − | 0.0450518i | −0.0141077 | − | 0.00248757i | ||||
\(329\) | −7.62680 | + | 20.9545i | −0.420479 | + | 1.15526i | ||||
\(330\) | 4.00701 | + | 11.0684i | 0.220579 | + | 0.609293i | ||||
\(331\) | −19.7918 | − | 11.4268i | −1.08786 | − | 0.628075i | −0.154853 | − | 0.987938i | \(-0.549490\pi\) |
−0.933005 | + | 0.359862i | \(0.882824\pi\) | |||||||
\(332\) | −0.288823 | + | 0.242352i | −0.0158512 | + | 0.0133008i | ||||
\(333\) | −18.7540 | − | 2.40600i | −1.02771 | − | 0.131848i | ||||
\(334\) | −7.28977 | + | 12.6263i | −0.398879 | + | 0.690878i | ||||
\(335\) | 19.9446 | − | 18.9643i | 1.08969 | − | 1.03613i | ||||
\(336\) | 3.23105 | + | 3.08285i | 0.176268 | + | 0.168183i | ||||
\(337\) | 2.61113 | − | 14.8085i | 0.142238 | − | 0.806669i | −0.827306 | − | 0.561751i | \(-0.810128\pi\) |
0.969544 | − | 0.244918i | \(-0.0787611\pi\) | |||||||
\(338\) | −2.76024 | + | 0.486704i | −0.150137 | + | 0.0264732i | ||||
\(339\) | −26.0986 | − | 1.66729i | −1.41748 | − | 0.0905550i | ||||
\(340\) | 2.57496 | − | 5.17742i | 0.139647 | − | 0.280785i | ||||
\(341\) | 26.2418 | 1.42107 | ||||||||
\(342\) | −7.03968 | − | 11.0201i | −0.380663 | − | 0.595899i | ||||
\(343\) | 18.9563i | 1.02355i | ||||||||
\(344\) | 3.98532 | + | 3.34408i | 0.214874 | + | 0.180301i | ||||
\(345\) | −19.3013 | + | 3.36912i | −1.03914 | + | 0.181387i | ||||
\(346\) | 1.48107 | + | 8.39959i | 0.0796230 | + | 0.451565i | ||||
\(347\) | −4.49271 | + | 25.4794i | −0.241181 | + | 1.36781i | 0.588015 | + | 0.808850i | \(0.299910\pi\) |
−0.829196 | + | 0.558957i | \(0.811202\pi\) | |||||||
\(348\) | −0.897603 | + | 0.940755i | −0.0481166 | + | 0.0504298i | ||||
\(349\) | 2.57767 | + | 4.46466i | 0.137980 | + | 0.238988i | 0.926732 | − | 0.375724i | \(-0.122606\pi\) |
−0.788752 | + | 0.614711i | \(0.789272\pi\) | |||||||
\(350\) | 0.649168 | − | 12.8754i | 0.0346995 | − | 0.688218i | ||||
\(351\) | −8.53754 | + | 14.2279i | −0.455700 | + | 0.759432i | ||||
\(352\) | 2.32828 | − | 1.95366i | 0.124098 | − | 0.104130i | ||||
\(353\) | −8.56038 | + | 14.8270i | −0.455623 | + | 0.789162i | −0.998724 | − | 0.0505053i | \(-0.983917\pi\) |
0.543101 | + | 0.839668i | \(0.317250\pi\) | |||||||
\(354\) | −0.775605 | − | 6.97549i | −0.0412229 | − | 0.370743i | ||||
\(355\) | 1.14566 | − | 10.1448i | 0.0608054 | − | 0.538428i | ||||
\(356\) | 2.27187 | − | 12.8844i | 0.120409 | − | 0.682872i | ||||
\(357\) | 2.72637 | − | 11.2220i | 0.144295 | − | 0.593933i | ||||
\(358\) | 6.31934 | + | 17.3623i | 0.333988 | + | 0.917624i | ||||
\(359\) | 15.1331 | − | 18.0349i | 0.798693 | − | 0.951845i | −0.200922 | − | 0.979607i | \(-0.564394\pi\) |
0.999615 | + | 0.0277621i | \(0.00883808\pi\) | |||||||
\(360\) | 5.57742 | + | 3.72726i | 0.293956 | + | 0.196444i | ||||
\(361\) | −17.8271 | − | 6.57232i | −0.938267 | − | 0.345912i | ||||
\(362\) | 2.19802 | 0.115525 | ||||||||
\(363\) | −2.73544 | + | 1.35459i | −0.143573 | + | 0.0710976i | ||||
\(364\) | −2.81600 | − | 7.73691i | −0.147599 | − | 0.405524i | ||||
\(365\) | 8.78989 | + | 20.1607i | 0.460084 | + | 1.05526i | ||||
\(366\) | −9.75706 | + | 14.6548i | −0.510010 | + | 0.766020i | ||||
\(367\) | 10.4420 | − | 28.6892i | 0.545068 | − | 1.49756i | −0.295224 | − | 0.955428i | \(-0.595394\pi\) |
0.840292 | − | 0.542134i | \(-0.182383\pi\) | |||||||
\(368\) | 2.52946 | + | 4.38115i | 0.131857 | + | 0.228383i | ||||
\(369\) | −0.759319 | + | 0.170971i | −0.0395286 | + | 0.00890040i | ||||
\(370\) | 8.37157 | − | 11.3370i | 0.435217 | − | 0.589384i | ||||
\(371\) | −8.69005 | + | 7.29182i | −0.451165 | + | 0.378573i | ||||
\(372\) | 12.0454 | − | 8.86267i | 0.624524 | − | 0.459508i | ||||
\(373\) | −5.88912 | − | 10.2003i | −0.304927 | − | 0.528149i | 0.672318 | − | 0.740263i | \(-0.265299\pi\) |
−0.977245 | + | 0.212113i | \(0.931965\pi\) | |||||||
\(374\) | −7.38566 | − | 2.68816i | −0.381903 | − | 0.139001i | ||||
\(375\) | −2.36506 | − | 19.2200i | −0.122131 | − | 0.992514i | ||||
\(376\) | 8.51727 | − | 1.50182i | 0.439245 | − | 0.0774507i | ||||
\(377\) | 2.25268 | − | 0.819909i | 0.116019 | − | 0.0422275i | ||||
\(378\) | 12.5105 | + | 4.79382i | 0.643470 | + | 0.246567i | ||||
\(379\) | 10.6930i | 0.549262i | 0.961550 | + | 0.274631i | \(0.0885557\pi\) | ||||
−0.961550 | + | 0.274631i | \(0.911444\pi\) | |||||||
\(380\) | 9.72925 | − | 0.584514i | 0.499100 | − | 0.0299849i | ||||
\(381\) | 6.07745 | − | 13.8742i | 0.311357 | − | 0.710797i | ||||
\(382\) | −1.37056 | − | 1.15004i | −0.0701240 | − | 0.0588410i | ||||
\(383\) | −7.15469 | − | 19.6574i | −0.365588 | − | 1.00444i | −0.977020 | − | 0.213147i | \(-0.931629\pi\) |
0.611432 | − | 0.791297i | \(-0.290594\pi\) | |||||||
\(384\) | 0.408904 | − | 1.68309i | 0.0208668 | − | 0.0858899i | ||||
\(385\) | −17.4892 | + | 1.08709i | −0.891333 | + | 0.0554035i | ||||
\(386\) | −1.10158 | + | 3.02656i | −0.0560688 | + | 0.154048i | ||||
\(387\) | 14.9005 | + | 4.64403i | 0.757434 | + | 0.236069i | ||||
\(388\) | −1.13671 | + | 1.96883i | −0.0577075 | + | 0.0999524i | ||||
\(389\) | −22.7618 | − | 27.1264i | −1.15407 | − | 1.37536i | −0.914550 | − | 0.404472i | \(-0.867455\pi\) |
−0.239517 | − | 0.970892i | \(-0.576989\pi\) | |||||||
\(390\) | −6.16538 | − | 10.7213i | −0.312196 | − | 0.542893i | ||||
\(391\) | 6.54109 | − | 11.3295i | 0.330797 | − | 0.572957i | ||||
\(392\) | 0.304944 | − | 0.176060i | 0.0154020 | − | 0.00889236i | ||||
\(393\) | 9.18857 | + | 8.76710i | 0.463502 | + | 0.442242i | ||||
\(394\) | −3.16292 | − | 0.557708i | −0.159346 | − | 0.0280969i | ||||
\(395\) | 14.8185 | + | 33.9880i | 0.745599 | + | 1.71012i | ||||
\(396\) | 4.18350 | − | 8.10168i | 0.210229 | − | 0.407125i | ||||
\(397\) | −14.5922 | + | 17.3903i | −0.732363 | + | 0.872796i | −0.995769 | − | 0.0918887i | \(-0.970710\pi\) |
0.263406 | + | 0.964685i | \(0.415154\pi\) | |||||||
\(398\) | 3.30994i | 0.165912i | ||||||||
\(399\) | 18.6907 | − | 5.43933i | 0.935706 | − | 0.272307i | ||||
\(400\) | −4.45052 | + | 2.27878i | −0.222526 | + | 0.113939i | ||||
\(401\) | 6.54292 | + | 5.49016i | 0.326738 | + | 0.274165i | 0.791369 | − | 0.611339i | \(-0.209369\pi\) |
−0.464631 | + | 0.885504i | \(0.653813\pi\) | |||||||
\(402\) | −21.2747 | − | 1.35912i | −1.06108 | − | 0.0677868i | ||||
\(403\) | −27.1521 | + | 4.78765i | −1.35254 | + | 0.238490i | ||||
\(404\) | 17.4085 | + | 3.06958i | 0.866104 | + | 0.152718i | ||||
\(405\) | 19.7505 | + | 3.86221i | 0.981412 | + | 0.191915i | ||||
\(406\) | −0.967800 | − | 1.67628i | −0.0480311 | − | 0.0831923i | ||||
\(407\) | −16.5893 | − | 9.57785i | −0.822302 | − | 0.474756i | ||||
\(408\) | −4.29801 | + | 1.26046i | −0.212783 | + | 0.0624022i | ||||
\(409\) | −10.5424 | − | 12.5639i | −0.521288 | − | 0.621247i | 0.439597 | − | 0.898195i | \(-0.355121\pi\) |
−0.960885 | + | 0.276948i | \(0.910677\pi\) | |||||||
\(410\) | 0.164215 | − | 0.556406i | 0.00810999 | − | 0.0274789i | ||||
\(411\) | 23.4817 | − | 2.61092i | 1.15826 | − | 0.128787i | ||||
\(412\) | −17.7329 | − | 6.45425i | −0.873638 | − | 0.317978i | ||||
\(413\) | 10.2891 | + | 1.81424i | 0.506291 | + | 0.0892728i | ||||
\(414\) | 12.0710 | + | 9.19919i | 0.593257 | + | 0.452115i | ||||
\(415\) | −0.466018 | − | 0.702562i | −0.0228759 | − | 0.0344874i | ||||
\(416\) | −2.05262 | + | 2.44621i | −0.100638 | + | 0.119935i | ||||
\(417\) | 2.67561 | − | 6.10813i | 0.131025 | − | 0.299116i | ||||
\(418\) | −2.27349 | − | 13.0517i | −0.111200 | − | 0.638379i | ||||
\(419\) | − | 0.129870i | − | 0.00634455i | −0.999995 | − | 0.00317227i | \(-0.998990\pi\) | ||
0.999995 | − | 0.00317227i | \(-0.00100977\pi\) | |||||||
\(420\) | −7.66067 | + | 6.40565i | −0.373802 | + | 0.312564i | ||||
\(421\) | 4.63152 | + | 12.7250i | 0.225726 | + | 0.620178i | 0.999918 | − | 0.0127727i | \(-0.00406580\pi\) |
−0.774192 | + | 0.632951i | \(0.781844\pi\) | |||||||
\(422\) | 0.446106 | + | 2.52999i | 0.0217161 | + | 0.123158i | ||||
\(423\) | 21.8364 | − | 14.0130i | 1.06172 | − | 0.681335i | ||||
\(424\) | 4.13440 | + | 1.50480i | 0.200784 | + | 0.0730795i | ||||
\(425\) | 10.8578 | + | 7.02056i | 0.526681 | + | 0.340547i | ||||
\(426\) | −6.36967 | + | 4.68664i | −0.308612 | + | 0.227068i | ||||
\(427\) | −16.8463 | − | 20.0766i | −0.815249 | − | 0.971576i | ||||
\(428\) | −3.13642 | − | 3.73784i | −0.151605 | − | 0.180675i | ||||
\(429\) | −13.5403 | + | 9.96262i | −0.653733 | + | 0.481000i | ||||
\(430\) | −8.43039 | + | 8.01605i | −0.406550 | + | 0.386568i | ||||
\(431\) | 19.7834 | + | 7.20058i | 0.952934 | + | 0.346840i | 0.771261 | − | 0.636519i | \(-0.219627\pi\) |
0.181673 | + | 0.983359i | \(0.441849\pi\) | |||||||
\(432\) | −0.815900 | − | 5.13170i | −0.0392550 | − | 0.246899i | ||||
\(433\) | 1.81665 | + | 10.3028i | 0.0873028 | + | 0.495119i | 0.996836 | + | 0.0794872i | \(0.0253283\pi\) |
−0.909533 | + | 0.415631i | \(0.863561\pi\) | |||||||
\(434\) | 7.61387 | + | 20.9189i | 0.365478 | + | 1.00414i | ||||
\(435\) | −1.86507 | − | 2.23048i | −0.0894234 | − | 0.106944i | ||||
\(436\) | − | 9.44369i | − | 0.452271i | ||||||
\(437\) | 22.0513 | + | 0.0456966i | 1.05485 | + | 0.00218597i | ||||
\(438\) | 6.83546 | − | 15.6047i | 0.326611 | − | 0.745619i | ||||
\(439\) | 16.0603 | − | 19.1399i | 0.766515 | − | 0.913497i | −0.231726 | − | 0.972781i | \(-0.574437\pi\) |
0.998241 | + | 0.0592843i | \(0.0188819\pi\) | |||||||
\(440\) | 3.75669 | + | 5.66353i | 0.179093 | + | 0.269998i | ||||
\(441\) | 0.640297 | − | 0.840185i | 0.0304904 | − | 0.0400088i | ||||
\(442\) | 8.13231 | + | 1.43395i | 0.386815 | + | 0.0682059i | ||||
\(443\) | −34.9513 | − | 12.7212i | −1.66058 | − | 0.604404i | −0.670130 | − | 0.742243i | \(-0.733762\pi\) |
−0.990455 | + | 0.137840i | \(0.955984\pi\) | |||||||
\(444\) | −10.8495 | + | 1.20636i | −0.514894 | + | 0.0572511i | ||||
\(445\) | 28.0584 | + | 8.28101i | 1.33009 | + | 0.392558i | ||||
\(446\) | −9.67956 | − | 11.5356i | −0.458340 | − | 0.546229i | ||||
\(447\) | 14.4011 | − | 4.22337i | 0.681150 | − | 0.199759i | ||||
\(448\) | 2.23292 | + | 1.28917i | 0.105495 | + | 0.0609078i | ||||
\(449\) | −4.62800 | − | 8.01594i | −0.218409 | − | 0.378295i | 0.735913 | − | 0.677076i | \(-0.236753\pi\) |
−0.954322 | + | 0.298781i | \(0.903420\pi\) | |||||||
\(450\) | −9.68128 | + | 11.4574i | −0.456380 | + | 0.540109i | ||||
\(451\) | −0.776559 | − | 0.136928i | −0.0365667 | − | 0.00644770i | ||||
\(452\) | −14.8694 | + | 2.62187i | −0.699396 | + | 0.123322i | ||||
\(453\) | −36.0680 | − | 2.30419i | −1.69462 | − | 0.108260i | ||||
\(454\) | 9.22994 | + | 7.74484i | 0.433182 | + | 0.363483i | ||||
\(455\) | 17.8976 | − | 4.31561i | 0.839052 | − | 0.202319i | ||||
\(456\) | −5.45153 | − | 5.22310i | −0.255291 | − | 0.244594i | ||||
\(457\) | 5.08806i | 0.238009i | 0.992894 | + | 0.119005i | \(0.0379703\pi\) | ||||
−0.992894 | + | 0.119005i | \(0.962030\pi\) | |||||||
\(458\) | −9.17709 | + | 10.9368i | −0.428817 | + | 0.511044i | ||||
\(459\) | −10.4375 | + | 8.46241i | −0.487183 | + | 0.394991i | ||||
\(460\) | −10.3694 | + | 4.52097i | −0.483475 | + | 0.210791i | ||||
\(461\) | 23.7668 | + | 4.19072i | 1.10693 | + | 0.195181i | 0.697095 | − | 0.716979i | \(-0.254476\pi\) |
0.409834 | + | 0.912160i | \(0.365587\pi\) | |||||||
\(462\) | 9.82030 | + | 9.36985i | 0.456882 | + | 0.435925i | ||||
\(463\) | −3.09391 | + | 1.78627i | −0.143786 | + | 0.0830150i | −0.570167 | − | 0.821529i | \(-0.693122\pi\) |
0.426381 | + | 0.904544i | \(0.359788\pi\) | |||||||
\(464\) | −0.375357 | + | 0.650137i | −0.0174255 | + | 0.0301818i | ||||
\(465\) | 16.6699 | + | 28.9880i | 0.773046 | + | 1.34429i | ||||
\(466\) | 2.98388 | + | 3.55605i | 0.138226 | + | 0.164731i | ||||
\(467\) | −14.9856 | + | 25.9559i | −0.693452 | + | 1.20109i | 0.277247 | + | 0.960799i | \(0.410578\pi\) |
−0.970700 | + | 0.240296i | \(0.922755\pi\) | |||||||
\(468\) | −2.85053 | + | 9.14599i | −0.131766 | + | 0.422774i | ||||
\(469\) | 10.8538 | − | 29.8204i | 0.501180 | − | 1.37698i | ||||
\(470\) | 1.19976 | + | 19.3017i | 0.0553407 | + | 0.890323i | ||||
\(471\) | −5.01492 | + | 20.6419i | −0.231075 | + | 0.951130i | ||||
\(472\) | −1.38591 | − | 3.80775i | −0.0637916 | − | 0.175266i | ||||
\(473\) | 12.1128 | + | 10.1638i | 0.556947 | + | 0.467334i | ||||
\(474\) | 11.5236 | − | 26.3072i | 0.529297 | − | 1.20833i | ||||
\(475\) | −1.14257 | + | 21.7645i | −0.0524249 | + | 0.998625i | ||||
\(476\) | − | 6.66752i | − | 0.305605i | ||||||
\(477\) | 13.1847 | − | 0.619309i | 0.603685 | − | 0.0283562i | ||||
\(478\) | −20.7709 | + | 7.55997i | −0.950037 | + | 0.345785i | ||||
\(479\) | 14.8496 | − | 2.61838i | 0.678495 | − | 0.119637i | 0.176228 | − | 0.984349i | \(-0.443610\pi\) |
0.502267 | + | 0.864712i | \(0.332499\pi\) | |||||||
\(480\) | 3.63713 | + | 1.33089i | 0.166012 | + | 0.0607468i | ||||
\(481\) | 18.9122 | + | 6.88349i | 0.862324 | + | 0.313860i | ||||
\(482\) | 8.91259 | + | 15.4371i | 0.405957 | + | 0.703139i | ||||
\(483\) | −18.1973 | + | 13.3891i | −0.828006 | + | 0.609225i | ||||
\(484\) | −1.35003 | + | 1.13281i | −0.0613651 | + | 0.0514914i | ||||
\(485\) | −4.08941 | − | 3.01973i | −0.185690 | − | 0.137119i | ||||
\(486\) | −8.19668 | − | 13.2595i | −0.371809 | − | 0.601463i | ||||
\(487\) | 14.0569 | + | 24.3472i | 0.636978 | + | 1.10328i | 0.986092 | + | 0.166198i | \(0.0531491\pi\) |
−0.349115 | + | 0.937080i | \(0.613518\pi\) | |||||||
\(488\) | −3.47654 | + | 9.55170i | −0.157375 | + | 0.432385i | ||||
\(489\) | −14.1801 | + | 21.2981i | −0.641246 | + | 0.963134i | ||||
\(490\) | 0.314676 | + | 0.721747i | 0.0142156 | + | 0.0326052i | ||||
\(491\) | −5.34417 | − | 14.6830i | −0.241179 | − | 0.662634i | −0.999937 | − | 0.0112608i | \(-0.996416\pi\) |
0.758758 | − | 0.651373i | \(-0.225807\pi\) | |||||||
\(492\) | −0.402698 | + | 0.199416i | −0.0181550 | + | 0.00899038i | ||||
\(493\) | 1.94132 | 0.0874325 | ||||||||
\(494\) | 4.73356 | + | 13.0897i | 0.212973 | + | 0.588933i | ||||
\(495\) | 16.9517 | + | 11.3284i | 0.761923 | + | 0.509175i | ||||
\(496\) | 5.54983 | − | 6.61403i | 0.249195 | − | 0.296979i | ||||
\(497\) | −4.02626 | − | 11.0621i | −0.180603 | − | 0.496202i | ||||
\(498\) | −0.154170 | + | 0.634580i | −0.00690852 | + | 0.0284362i | ||||
\(499\) | 4.28754 | − | 24.3158i | 0.191936 | − | 1.08853i | −0.724778 | − | 0.688982i | \(-0.758058\pi\) |
0.916714 | − | 0.399543i | \(-0.130831\pi\) | |||||||
\(500\) | −3.94657 | − | 10.4606i | −0.176496 | − | 0.467813i | ||||
\(501\) | 2.79063 | + | 25.0978i | 0.124676 | + | 1.12129i | ||||
\(502\) | 11.5803 | − | 20.0576i | 0.516853 | − | 0.895215i | ||||
\(503\) | 13.5745 | − | 11.3904i | 0.605259 | − | 0.507872i | −0.287872 | − | 0.957669i | \(-0.592948\pi\) |
0.893131 | + | 0.449796i | \(0.148503\pi\) | |||||||
\(504\) | 7.67217 | + | 0.984282i | 0.341745 | + | 0.0438434i | ||||
\(505\) | −11.1887 | + | 37.9104i | −0.497891 | + | 1.68699i | ||||
\(506\) | 7.68791 | + | 13.3159i | 0.341769 | + | 0.591962i | ||||
\(507\) | −3.35124 | + | 3.51235i | −0.148834 | + | 0.155989i | ||||
\(508\) | 1.51857 | − | 8.61221i | 0.0673755 | − | 0.382105i | ||||
\(509\) | 6.74016 | + | 38.2254i | 0.298753 | + | 1.69431i | 0.651547 | + | 0.758609i | \(0.274121\pi\) |
−0.352794 | + | 0.935701i | \(0.614768\pi\) | |||||||
\(510\) | −1.72219 | − | 9.86622i | −0.0762599 | − | 0.436883i | ||||
\(511\) | 19.4270 | + | 16.3012i | 0.859399 | + | 0.721121i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −21.1331 | − | 8.14813i | −0.933049 | − | 0.359749i | ||||
\(514\) | −7.24869 | −0.319726 | ||||||||
\(515\) | 18.7907 | − | 37.7820i | 0.828015 | − | 1.66487i | ||||
\(516\) | 8.99261 | + | 0.574488i | 0.395878 | + | 0.0252904i | ||||
\(517\) | 25.8870 | − | 4.56457i | 1.13851 | − | 0.200750i | ||||
\(518\) | 2.82182 | − | 16.0033i | 0.123984 | − | 0.703146i | ||||
\(519\) | 10.6883 | + | 10.1980i | 0.469165 | + | 0.447644i | ||||
\(520\) | −4.92029 | − | 5.17462i | −0.215769 | − | 0.226922i | ||||
\(521\) | −10.3124 | + | 17.8616i | −0.451794 | + | 0.782530i | −0.998498 | − | 0.0547960i | \(-0.982549\pi\) |
0.546703 | + | 0.837326i | \(0.315882\pi\) | |||||||
\(522\) | −0.286584 | + | 2.23383i | −0.0125434 | + | 0.0977721i | ||||
\(523\) | 0.0694571 | − | 0.0582814i | 0.00303715 | − | 0.00254847i | −0.641268 | − | 0.767317i | \(-0.721591\pi\) |
0.644305 | + | 0.764769i | \(0.277147\pi\) | |||||||
\(524\) | 6.35004 | + | 3.66620i | 0.277403 | + | 0.160158i | ||||
\(525\) | −12.3107 | − | 18.6289i | −0.537284 | − | 0.813033i | ||||
\(526\) | 5.52575 | − | 15.1819i | 0.240934 | − | 0.661961i | ||||
\(527\) | −21.9880 | − | 3.87708i | −0.957814 | − | 0.168888i | ||||
\(528\) | 1.24280 | − | 5.11551i | 0.0540861 | − | 0.222624i | ||||
\(529\) | −2.43628 | + | 0.886732i | −0.105925 | + | 0.0385536i | ||||
\(530\) | −4.38101 | + | 8.80882i | −0.190299 | + | 0.382631i | ||||
\(531\) | −8.24229 | − | 8.93543i | −0.357685 | − | 0.387765i | ||||
\(532\) | 9.74468 | − | 5.59920i | 0.422485 | − | 0.242756i | ||||
\(533\) | 0.828480 | 0.0358855 | ||||||||
\(534\) | −10.0561 | − | 20.3072i | −0.435172 | − | 0.878778i | ||||
\(535\) | 9.09228 | − | 6.03102i | 0.393094 | − | 0.260744i | ||||
\(536\) | −12.1210 | + | 2.13726i | −0.523547 | + | 0.0923155i | ||||
\(537\) | 26.6383 | + | 17.7355i | 1.14953 | + | 0.765345i | ||||
\(538\) | −4.11613 | + | 11.3090i | −0.177459 | + | 0.487565i | ||||
\(539\) | 0.926833 | − | 0.535107i | 0.0399215 | − | 0.0230487i | ||||
\(540\) | 11.6071 | − | 0.525203i | 0.499489 | − | 0.0226012i | ||||
\(541\) | −28.0937 | + | 23.5734i | −1.20784 | + | 1.01350i | −0.208472 | + | 0.978028i | \(0.566849\pi\) |
−0.999371 | + | 0.0354725i | \(0.988706\pi\) | |||||||
\(542\) | 7.62685 | + | 9.08932i | 0.327601 | + | 0.390420i | ||||
\(543\) | 3.06648 | − | 2.25623i | 0.131595 | − | 0.0968242i | ||||
\(544\) | −2.23951 | + | 1.29298i | −0.0960182 | + | 0.0554361i | ||||
\(545\) | 20.9834 | + | 2.36968i | 0.898828 | + | 0.101506i | ||||
\(546\) | −11.8705 | − | 7.90325i | −0.508008 | − | 0.338228i | ||||
\(547\) | 5.59380 | + | 31.7240i | 0.239174 | + | 1.35642i | 0.833643 | + | 0.552303i | \(0.186251\pi\) |
−0.594469 | + | 0.804118i | \(0.702638\pi\) | |||||||
\(548\) | 12.8181 | − | 4.66539i | 0.547560 | − | 0.199296i | ||||
\(549\) | 1.43079 | + | 30.4605i | 0.0610645 | + | 1.30002i | ||||
\(550\) | −13.5267 | + | 6.92602i | −0.576780 | + | 0.295327i | ||||
\(551\) | 1.63027 | + | 2.83726i | 0.0694516 | + | 0.120872i | ||||
\(552\) | 8.02605 | + | 3.51573i | 0.341611 | + | 0.149640i | ||||
\(553\) | 32.7511 | + | 27.4814i | 1.39272 | + | 1.16863i | ||||
\(554\) | −12.0809 | + | 4.39710i | −0.513269 | + | 0.186815i | ||||
\(555\) | 0.0419757 | − | 24.4097i | 0.00178177 | − | 1.03613i | ||||
\(556\) | 0.668550 | − | 3.79154i | 0.0283528 | − | 0.160797i | ||||
\(557\) | 7.80737 | + | 2.84165i | 0.330809 | + | 0.120405i | 0.502085 | − | 0.864819i | \(-0.332567\pi\) |
−0.171276 | + | 0.985223i | \(0.554789\pi\) | |||||||
\(558\) | 7.70722 | − | 24.7288i | 0.326273 | − | 1.04685i | ||||
\(559\) | −14.3873 | − | 8.30653i | −0.608519 | − | 0.351329i | ||||
\(560\) | −3.42477 | + | 4.63792i | −0.144723 | + | 0.195988i | ||||
\(561\) | −13.0632 | + | 3.83099i | −0.551527 | + | 0.161744i | ||||
\(562\) | −13.8711 | − | 8.00848i | −0.585117 | − | 0.337817i | ||||
\(563\) | −13.7591 | + | 7.94379i | −0.579875 | + | 0.334791i | −0.761084 | − | 0.648654i | \(-0.775332\pi\) |
0.181209 | + | 0.983445i | \(0.441999\pi\) | |||||||
\(564\) | 10.3409 | − | 10.8381i | 0.435431 | − | 0.456365i | ||||
\(565\) | −2.09453 | − | 33.6968i | −0.0881173 | − | 1.41763i | ||||
\(566\) | 3.28382 | + | 18.6234i | 0.138029 | + | 0.782802i | ||||
\(567\) | 22.3743 | − | 6.15392i | 0.939631 | − | 0.258440i | ||||
\(568\) | −2.93479 | + | 3.49754i | −0.123141 | + | 0.146754i | ||||
\(569\) | 35.5477 | 1.49024 | 0.745119 | − | 0.666932i | \(-0.232393\pi\) | ||||
0.745119 | + | 0.666932i | \(0.232393\pi\) | |||||||
\(570\) | 12.9734 | − | 10.8024i | 0.543395 | − | 0.452462i | ||||
\(571\) | −5.29456 | −0.221570 | −0.110785 | − | 0.993844i | \(-0.535337\pi\) | ||||
−0.110785 | + | 0.993844i | \(0.535337\pi\) | |||||||
\(572\) | −6.23862 | + | 7.43490i | −0.260850 | + | 0.310869i | ||||
\(573\) | −3.09258 | − | 0.197568i | −0.129194 | − | 0.00825351i | ||||
\(574\) | −0.116159 | − | 0.658772i | −0.00484840 | − | 0.0274966i | ||||
\(575\) | −7.44338 | − | 24.1746i | −0.310410 | − | 1.00815i | ||||
\(576\) | −1.15720 | − | 2.76783i | −0.0482167 | − | 0.115326i | ||||
\(577\) | −34.4185 | + | 19.8715i | −1.43286 | + | 0.827262i | −0.997338 | − | 0.0729164i | \(-0.976769\pi\) |
−0.435522 | + | 0.900178i | \(0.643436\pi\) | |||||||
\(578\) | −8.93114 | − | 5.15640i | −0.371486 | − | 0.214478i | ||||
\(579\) | 1.56990 | + | 5.35313i | 0.0652426 | + | 0.222469i | ||||
\(580\) | −1.35038 | − | 0.997158i | −0.0560715 | − | 0.0414047i | ||||
\(581\) | −0.841881 | − | 0.486060i | −0.0349271 | − | 0.0201652i | ||||
\(582\) | 0.435148 | + | 3.91355i | 0.0180374 | + | 0.162222i | ||||
\(583\) | 12.5659 | + | 4.57361i | 0.520427 | + | 0.189420i | ||||
\(584\) | 1.70797 | − | 9.68637i | 0.0706762 | − | 0.400825i | ||||
\(585\) | −19.6066 | − | 8.62869i | −0.810633 | − | 0.356753i | ||||
\(586\) | 4.58656 | − | 1.66937i | 0.189469 | − | 0.0689610i | ||||
\(587\) | −22.3590 | − | 18.7615i | −0.922857 | − | 0.774369i | 0.0516644 | − | 0.998665i | \(-0.483547\pi\) |
−0.974521 | + | 0.224296i | \(0.927992\pi\) | |||||||
\(588\) | 0.244708 | − | 0.558643i | 0.0100916 | − | 0.0230380i | ||||
\(589\) | −12.7985 | − | 35.3917i | −0.527354 | − | 1.45829i | ||||
\(590\) | 8.80837 | − | 2.12394i | 0.362635 | − | 0.0874413i | ||||
\(591\) | −4.98510 | + | 2.46862i | −0.205059 | + | 0.101546i | ||||
\(592\) | −5.92247 | + | 2.15560i | −0.243412 | + | 0.0885948i | ||||
\(593\) | −4.43465 | − | 25.1502i | −0.182109 | − | 1.03279i | −0.929613 | − | 0.368536i | \(-0.879859\pi\) |
0.747504 | − | 0.664257i | \(-0.231252\pi\) | |||||||
\(594\) | −2.47981 | − | 15.5970i | −0.101748 | − | 0.639954i | ||||
\(595\) | 14.8148 | + | 1.67306i | 0.607350 | + | 0.0685887i | ||||
\(596\) | 7.50382 | − | 4.33233i | 0.307368 | − | 0.177459i | ||||
\(597\) | 3.39761 | + | 4.61773i | 0.139055 | + | 0.188991i | ||||
\(598\) | −10.3840 | − | 12.3752i | −0.424634 | − | 0.506059i | ||||
\(599\) | −25.1675 | + | 21.1180i | −1.02831 | + | 0.862858i | −0.990649 | − | 0.136432i | \(-0.956436\pi\) |
−0.0376649 | + | 0.999290i | \(0.511992\pi\) | |||||||
\(600\) | −3.86983 | + | 7.74754i | −0.157985 | + | 0.316292i | ||||
\(601\) | −11.3807 | + | 6.57065i | −0.464228 | + | 0.268022i | −0.713820 | − | 0.700329i | \(-0.753037\pi\) |
0.249592 | + | 0.968351i | \(0.419703\pi\) | |||||||
\(602\) | −4.58778 | + | 12.6048i | −0.186984 | + | 0.513735i | ||||
\(603\) | −31.0756 | + | 19.9420i | −1.26550 | + | 0.812101i | ||||
\(604\) | −20.5493 | + | 3.62340i | −0.836141 | + | 0.147434i | ||||
\(605\) | −2.17828 | − | 3.28395i | −0.0885599 | − | 0.133512i | ||||
\(606\) | 27.4376 | − | 13.5871i | 1.11458 | − | 0.551939i | ||||
\(607\) | 3.08925 | 0.125389 | 0.0626943 | − | 0.998033i | \(-0.480031\pi\) | ||||
0.0626943 | + | 0.998033i | \(0.480031\pi\) | |||||||
\(608\) | −3.77039 | − | 2.18727i | −0.152910 | − | 0.0887054i | ||||
\(609\) | −3.07086 | − | 1.34516i | −0.124438 | − | 0.0545086i | ||||
\(610\) | −20.3510 | − | 10.1214i | −0.823988 | − | 0.409805i | ||||
\(611\) | −25.9522 | + | 9.44584i | −1.04992 | + | 0.382138i | ||||
\(612\) | −4.70234 | + | 6.17032i | −0.190081 | + | 0.249420i | ||||
\(613\) | 3.85039 | + | 0.678928i | 0.155516 | + | 0.0274216i | 0.250864 | − | 0.968022i | \(-0.419285\pi\) |
−0.0953481 | + | 0.995444i | \(0.530396\pi\) | |||||||
\(614\) | 1.48442 | − | 4.07841i | 0.0599062 | − | 0.164591i | ||||
\(615\) | −0.342044 | − | 0.944810i | −0.0137925 | − | 0.0380984i | ||||
\(616\) | 6.78661 | + | 3.91825i | 0.273440 | + | 0.157871i | ||||
\(617\) | 15.1487 | − | 12.7112i | 0.609862 | − | 0.511735i | −0.284736 | − | 0.958606i | \(-0.591906\pi\) |
0.894599 | + | 0.446871i | \(0.147462\pi\) | |||||||
\(618\) | −31.3645 | + | 9.19817i | −1.26167 | + | 0.370005i | ||||
\(619\) | 19.5527 | − | 33.8662i | 0.785888 | − | 1.36120i | −0.142579 | − | 0.989783i | \(-0.545540\pi\) |
0.928467 | − | 0.371414i | \(-0.121127\pi\) | |||||||
\(620\) | 13.3034 | + | 13.9911i | 0.534278 | + | 0.561894i | ||||
\(621\) | 26.2832 | + | 0.443188i | 1.05471 | + | 0.0177845i | ||||
\(622\) | −4.34687 | + | 24.6523i | −0.174294 | + | 0.988469i | ||||
\(623\) | 33.2205 | − | 5.85767i | 1.33095 | − | 0.234683i | ||||
\(624\) | −0.352624 | + | 5.51971i | −0.0141163 | + | 0.220965i | ||||
\(625\) | 24.2332 | − | 6.14422i | 0.969329 | − | 0.245769i | ||||
\(626\) | −0.699529 | −0.0279588 | ||||||||
\(627\) | −16.5691 | − | 15.8748i | −0.661707 | − | 0.633980i | ||||
\(628\) | 12.2643i | 0.489399i | ||||||||
\(629\) | 12.4851 | + | 10.4763i | 0.497815 | + | 0.417717i | ||||
\(630\) | −4.11217 | + | 16.8001i | −0.163833 | + | 0.669334i | ||||
\(631\) | 3.34106 | + | 18.9481i | 0.133005 | + | 0.754312i | 0.976228 | + | 0.216747i | \(0.0695446\pi\) |
−0.843222 | + | 0.537565i | \(0.819344\pi\) | |||||||
\(632\) | 2.87939 | − | 16.3298i | 0.114536 | − | 0.649566i | ||||
\(633\) | 3.21936 | + | 3.07169i | 0.127958 | + | 0.122089i | ||||
\(634\) | −7.75372 | − | 13.4298i | −0.307940 | − | 0.533367i | ||||
\(635\) | 18.7548 | + | 5.53520i | 0.744262 | + | 0.219658i | ||||
\(636\) | 7.31260 | − | 2.14454i | 0.289963 | − | 0.0850366i | ||||
\(637\) | −0.861358 | + | 0.722766i | −0.0341283 | + | 0.0286370i | ||||
\(638\) | −1.14084 | + | 1.97599i | −0.0451663 | + | 0.0782304i | ||||
\(639\) | −4.07563 | + | 13.0767i | −0.161229 | + | 0.517308i | ||||
\(640\) | 2.22194 | + | 0.250927i | 0.0878301 | + | 0.00991875i | ||||
\(641\) | 4.47239 | − | 25.3642i | 0.176649 | − | 1.00182i | −0.759575 | − | 0.650420i | \(-0.774593\pi\) |
0.936224 | − | 0.351405i | \(-0.114296\pi\) | |||||||
\(642\) | −8.21248 | − | 1.99521i | −0.324121 | − | 0.0787445i | ||||
\(643\) | 5.91400 | + | 16.2486i | 0.233226 | + | 0.640782i | 0.999999 | − | 0.00113539i | \(-0.000361407\pi\) |
−0.766774 | + | 0.641917i | \(0.778139\pi\) | |||||||
\(644\) | −8.38430 | + | 9.99201i | −0.330388 | + | 0.393741i | ||||
\(645\) | −3.53297 | + | 19.8369i | −0.139110 | + | 0.781078i | ||||
\(646\) | −0.0233587 | + | 11.2719i | −0.000919037 | + | 0.443488i | ||||
\(647\) | 15.5424 | 0.611035 | 0.305518 | − | 0.952186i | \(-0.401170\pi\) | ||||
0.305518 | + | 0.952186i | \(0.401170\pi\) | |||||||
\(648\) | −6.40588 | − | 6.32177i | −0.251647 | − | 0.248342i | ||||
\(649\) | −4.21226 | − | 11.5731i | −0.165346 | − | 0.454283i | ||||
\(650\) | 12.7323 | − | 9.63416i | 0.499404 | − | 0.377883i | ||||
\(651\) | 32.0952 | + | 21.3687i | 1.25791 | + | 0.837505i | ||||
\(652\) | −5.05251 | + | 13.8817i | −0.197872 | + | 0.543648i | ||||
\(653\) | −6.62802 | − | 11.4801i | −0.259375 | − | 0.449250i | 0.706700 | − | 0.707513i | \(-0.250183\pi\) |
−0.966075 | + | 0.258263i | \(0.916850\pi\) | |||||||
\(654\) | −9.69380 | − | 13.1750i | −0.379058 | − | 0.515182i | ||||
\(655\) | −9.73948 | + | 13.1895i | −0.380553 | + | 0.515356i | ||||
\(656\) | −0.198745 | + | 0.166767i | −0.00775969 | + | 0.00651115i | ||||
\(657\) | −6.48172 | − | 28.7867i | −0.252876 | − | 1.12308i | ||||
\(658\) | 11.1496 | + | 19.3117i | 0.434658 | + | 0.752850i | ||||
\(659\) | −31.9611 | − | 11.6329i | −1.24503 | − | 0.453153i | −0.366309 | − | 0.930493i | \(-0.619379\pi\) |
−0.878719 | + | 0.477340i | \(0.841601\pi\) | |||||||
\(660\) | 11.0545 | + | 4.04506i | 0.430297 | + | 0.157454i | ||||
\(661\) | 45.3644 | − | 7.99896i | 1.76447 | − | 0.311124i | 0.805071 | − | 0.593179i | \(-0.202127\pi\) |
0.959398 | + | 0.282055i | \(0.0910161\pi\) | |||||||
\(662\) | −21.4754 | + | 7.81641i | −0.834665 | + | 0.303793i | ||||
\(663\) | 12.8174 | − | 6.34718i | 0.497786 | − | 0.246504i | ||||
\(664\) | 0.377032i | 0.0146317i | ||||||||
\(665\) | 9.99591 | + | 23.0571i | 0.387625 | + | 0.894117i | ||||
\(666\) | −13.8979 | + | 12.8198i | −0.538534 | + | 0.496759i | ||||
\(667\) | −2.90928 | − | 2.44118i | −0.112648 | − | 0.0945227i | ||||
\(668\) | 4.98650 | + | 13.7003i | 0.192933 | + | 0.530080i | ||||
\(669\) | −25.3452 | − | 6.15757i | −0.979902 | − | 0.238065i | ||||
\(670\) | −1.70739 | − | 27.4685i | −0.0659620 | − | 1.06120i | ||||
\(671\) | −10.5664 | + | 29.0310i | −0.407912 | + | 1.12073i | ||||
\(672\) | 4.43848 | − | 0.493514i | 0.171218 | − | 0.0190377i | ||||
\(673\) | 25.4433 | − | 44.0691i | 0.980768 | − | 1.69874i | 0.321353 | − | 0.946959i | \(-0.395862\pi\) |
0.659414 | − | 0.751780i | \(-0.270804\pi\) | |||||||
\(674\) | −9.66555 | − | 11.5190i | −0.372303 | − | 0.443694i | ||||
\(675\) | −1.74555 | + | 25.9221i | −0.0671864 | + | 0.997740i | ||||
\(676\) | −1.40141 | + | 2.42731i | −0.0539003 | + | 0.0933581i | ||||
\(677\) | −40.5615 | + | 23.4182i | −1.55891 | + | 0.900035i | −0.561545 | + | 0.827447i | \(0.689793\pi\) |
−0.997362 | + | 0.0725886i | \(0.976874\pi\) | |||||||
\(678\) | −18.0531 | + | 18.9210i | −0.693324 | + | 0.726655i | ||||
\(679\) | −5.77260 | − | 1.01787i | −0.221532 | − | 0.0390621i | ||||
\(680\) | −2.31098 | − | 5.30051i | −0.0886221 | − | 0.203265i | ||||
\(681\) | 20.8267 | + | 1.33050i | 0.798082 | + | 0.0509850i | ||||
\(682\) | 16.8679 | − | 20.1024i | 0.645905 | − | 0.769759i | ||||
\(683\) | 33.4053i | 1.27822i | 0.769116 | + | 0.639110i | \(0.220697\pi\) | ||||
−0.769116 | + | 0.639110i | \(0.779303\pi\) | |||||||
\(684\) | −12.9669 | − | 1.69088i | −0.495802 | − | 0.0646524i | ||||
\(685\) | 7.14984 | + | 29.6517i | 0.273181 | + | 1.13293i | ||||
\(686\) | 14.5214 | + | 12.1849i | 0.554429 | + | 0.465221i | ||||
\(687\) | −1.57655 | + | 24.6782i | −0.0601493 | + | 0.941532i | ||||
\(688\) | 5.12343 | − | 0.903399i | 0.195329 | − | 0.0344418i | ||||
\(689\) | −13.8363 | − | 2.43970i | −0.527119 | − | 0.0929453i | ||||
\(690\) | −9.82571 | + | 16.9512i | −0.374059 | + | 0.645323i | ||||
\(691\) | 23.1480 | + | 40.0935i | 0.880591 | + | 1.52523i | 0.850685 | + | 0.525676i | \(0.176188\pi\) |
0.0299064 | + | 0.999553i | \(0.490479\pi\) | |||||||
\(692\) | 7.38647 | + | 4.26458i | 0.280792 | + | 0.162115i | ||||
\(693\) | 23.3184 | + | 2.99158i | 0.885793 | + | 0.113641i | ||||
\(694\) | 16.6305 | + | 19.8195i | 0.631286 | + | 0.752337i | ||||
\(695\) | 8.25682 | + | 2.43688i | 0.313199 | + | 0.0924361i | ||||
\(696\) | 0.143692 | + | 1.29231i | 0.00544663 | + | 0.0489849i | ||||
\(697\) | 0.630450 | + | 0.229465i | 0.0238800 | + | 0.00869160i | ||||
\(698\) | 5.07703 | + | 0.895217i | 0.192168 | + | 0.0338845i | ||||
\(699\) | 7.81306 | + | 1.89817i | 0.295517 | + | 0.0717954i | ||||
\(700\) | −9.44584 | − | 8.77343i | −0.357019 | − | 0.331605i | ||||
\(701\) | 5.16255 | − | 6.15249i | 0.194987 | − | 0.232376i | −0.659688 | − | 0.751539i | \(-0.729312\pi\) |
0.854675 | + | 0.519163i | \(0.173756\pi\) | |||||||
\(702\) | 5.41142 | + | 15.6857i | 0.204241 | + | 0.592018i | ||||
\(703\) | −4.82656 | + | 27.0449i | −0.182037 | + | 1.02002i | ||||
\(704\) | − | 3.03935i | − | 0.114550i | ||||||
\(705\) | 21.4867 | + | 25.6965i | 0.809237 | + | 0.967787i | ||||
\(706\) | 5.85564 | + | 16.0882i | 0.220380 | + | 0.605489i | ||||
\(707\) | 7.91446 | + | 44.8851i | 0.297654 | + | 1.68808i | ||||
\(708\) | −5.84209 | − | 3.88961i | −0.219559 | − | 0.146181i | ||||
\(709\) | 7.71715 | + | 2.80881i | 0.289824 | + | 0.105487i | 0.482841 | − | 0.875708i | \(-0.339605\pi\) |
−0.193017 | + | 0.981195i | \(0.561827\pi\) | |||||||
\(710\) | −7.03493 | − | 7.39856i | −0.264016 | − | 0.277663i | ||||
\(711\) | −10.9272 | − | 48.5302i | −0.409804 | − | 1.82003i | ||||
\(712\) | −8.40970 | − | 10.0223i | −0.315167 | − | 0.375601i | ||||
\(713\) | 28.0761 | + | 33.4598i | 1.05146 | + | 1.25308i | ||||
\(714\) | −6.84410 | − | 9.30191i | −0.256134 | − | 0.348115i | ||||
\(715\) | −14.9545 | − | 15.7275i | −0.559266 | − | 0.588174i | ||||
\(716\) | 17.3623 | + | 6.31934i | 0.648858 | + | 0.236165i | ||||
\(717\) | −21.2174 | + | 31.8679i | −0.792379 | + | 1.19013i | ||||
\(718\) | −4.08818 | − | 23.1852i | −0.152569 | − | 0.865264i | ||||
\(719\) | −8.72890 | − | 23.9825i | −0.325533 | − | 0.894395i | −0.989227 | − | 0.146390i | \(-0.953234\pi\) |
0.663694 | − | 0.748004i | \(-0.268988\pi\) | |||||||
\(720\) | 6.44034 | − | 1.87671i | 0.240017 | − | 0.0699410i | ||||
\(721\) | − | 48.6559i | − | 1.81204i | ||||||
\(722\) | −16.4937 | + | 9.43172i | −0.613833 | + | 0.351012i | ||||
\(723\) | 28.2799 | + | 12.3877i | 1.05174 | + | 0.460705i | ||||
\(724\) | 1.41286 | − | 1.68378i | 0.0525085 | − | 0.0625772i | ||||
\(725\) | 2.55448 | − | 2.75026i | 0.0948709 | − | 0.102142i | ||||
\(726\) | −0.720629 | + | 2.96618i | −0.0267450 | + | 0.110085i | ||||
\(727\) | 36.4034 | + | 6.41890i | 1.35013 | + | 0.238064i | 0.801496 | − | 0.598000i | \(-0.204038\pi\) |
0.548632 | + | 0.836064i | \(0.315149\pi\) | |||||||
\(728\) | −7.73691 | − | 2.81600i | −0.286749 | − | 0.104368i | ||||
\(729\) | −25.0459 | − | 10.0847i | −0.927627 | − | 0.373507i | ||||
\(730\) | 21.0940 | + | 6.22558i | 0.780724 | + | 0.230419i | ||||
\(731\) | −8.64768 | − | 10.3059i | −0.319846 | − | 0.381178i | ||||
\(732\) | 4.95453 | + | 16.8943i | 0.183125 | + | 0.624430i | ||||
\(733\) | −40.2287 | − | 23.2261i | −1.48588 | − | 0.857874i | −0.486011 | − | 0.873953i | \(-0.661548\pi\) |
−0.999871 | + | 0.0160785i | \(0.994882\pi\) | |||||||
\(734\) | −15.2652 | − | 26.4401i | −0.563448 | − | 0.975921i | ||||
\(735\) | 1.17987 | + | 0.683906i | 0.0435201 | + | 0.0252263i | ||||
\(736\) | 4.98206 | + | 0.878472i | 0.183641 | + | 0.0323809i | ||||
\(737\) | −36.8400 | + | 6.49588i | −1.35702 | + | 0.239279i | ||||
\(738\) | −0.357109 | + | 0.691570i | −0.0131454 | + | 0.0254571i | ||||
\(739\) | −20.3684 | − | 17.0911i | −0.749264 | − | 0.628707i | 0.186044 | − | 0.982541i | \(-0.440433\pi\) |
−0.935308 | + | 0.353834i | \(0.884878\pi\) | |||||||
\(740\) | −3.30352 | − | 13.7003i | −0.121440 | − | 0.503633i | ||||
\(741\) | 20.0402 | + | 13.4026i | 0.736195 | + | 0.492357i | ||||
\(742\) | 11.3441i | 0.416454i | ||||||||
\(743\) | 12.7757 | − | 15.2255i | 0.468696 | − | 0.558570i | −0.478971 | − | 0.877831i | \(-0.658990\pi\) |
0.947667 | + | 0.319261i | \(0.103435\pi\) | |||||||
\(744\) | 0.953419 | − | 14.9241i | 0.0349540 | − | 0.547145i | ||||
\(745\) | 7.74329 | + | 17.7602i | 0.283692 | + | 0.650682i | ||||
\(746\) | −11.5993 | − | 2.04527i | −0.424681 | − | 0.0748827i | ||||
\(747\) | 0.436302 | + | 1.04356i | 0.0159635 | + | 0.0381819i | ||||
\(748\) | −6.80666 | + | 3.92983i | −0.248876 | + | 0.143689i | ||||
\(749\) | 6.29040 | − | 10.8953i | 0.229846 | − | 0.398105i | ||||
\(750\) | −16.2436 | − | 10.5426i | −0.593131 | − | 0.384962i | ||||
\(751\) | 11.3522 | + | 13.5290i | 0.414246 | + | 0.493679i | 0.932309 | − | 0.361663i | \(-0.117791\pi\) |
−0.518063 | + | 0.855343i | \(0.673347\pi\) | |||||||
\(752\) | 4.32433 | − | 7.48996i | 0.157692 | − | 0.273131i | ||||
\(753\) | −4.43309 | − | 39.8695i | −0.161551 | − | 1.45293i | ||||
\(754\) | 0.819909 | − | 2.25268i | 0.0298593 | − | 0.0820379i | ||||
\(755\) | −2.89462 | − | 46.5687i | −0.105346 | − | 1.69481i | ||||
\(756\) | 11.7139 | − | 6.50218i | 0.426029 | − | 0.236482i | ||||
\(757\) | −1.57621 | − | 4.33061i | −0.0572884 | − | 0.157399i | 0.907747 | − | 0.419518i | \(-0.137801\pi\) |
−0.965035 | + | 0.262119i | \(0.915579\pi\) | |||||||
\(758\) | 8.19130 | + | 6.87332i | 0.297522 | + | 0.249650i | ||||
\(759\) | 24.3940 | + | 10.6855i | 0.885446 | + | 0.387861i | ||||
\(760\) | 5.80608 | − | 7.82876i | 0.210609 | − | 0.283979i | ||||
\(761\) | − | 53.4428i | − | 1.93730i | −0.248430 | − | 0.968650i | \(-0.579915\pi\) | ||
0.248430 | − | 0.968650i | \(-0.420085\pi\) | |||||||
\(762\) | −6.72174 | − | 13.5738i | −0.243503 | − | 0.491726i | ||||
\(763\) | 22.8807 | − | 8.32789i | 0.828337 | − | 0.301490i | ||||
\(764\) | −1.76196 | + | 0.310681i | −0.0637454 | + | 0.0112400i | ||||
\(765\) | −12.5302 | − | 11.9966i | −0.453029 | − | 0.433740i | ||||
\(766\) | −19.6574 | − | 7.15469i | −0.710249 | − | 0.258510i | ||||
\(767\) | 6.46983 | + | 11.2061i | 0.233612 | + | 0.404628i | ||||
\(768\) | −1.02648 | − | 1.39511i | −0.0370401 | − | 0.0503417i | ||||
\(769\) | 2.36333 | − | 1.98307i | 0.0852238 | − | 0.0715112i | −0.599180 | − | 0.800614i | \(-0.704507\pi\) |
0.684404 | + | 0.729103i | \(0.260062\pi\) | |||||||
\(770\) | −10.4091 | + | 14.0963i | −0.375117 | + | 0.507995i | ||||
\(771\) | −10.1127 | + | 7.44067i | −0.364201 | + | 0.267969i | ||||
\(772\) | 1.61040 | + | 2.78929i | 0.0579595 | + | 0.100389i | ||||
\(773\) | −7.47640 | + | 20.5413i | −0.268908 | + | 0.738817i | 0.729583 | + | 0.683892i | \(0.239714\pi\) |
−0.998490 | + | 0.0549251i | \(0.982508\pi\) | |||||||
\(774\) | 13.1354 | − | 8.42930i | 0.472141 | − | 0.302985i | ||||
\(775\) | −34.4255 | + | 26.0487i | −1.23660 | + | 0.935697i | ||||
\(776\) | 0.777553 | + | 2.13631i | 0.0279125 | + | 0.0766891i | ||||
\(777\) | −12.4904 | − | 25.2229i | −0.448091 | − | 0.904868i | ||||
\(778\) | −35.4110 | −1.26955 | ||||||||
\(779\) | 0.194068 | + | 1.11411i | 0.00695321 | + | 0.0399171i | ||||
\(780\) | −12.1760 | − | 2.16855i | −0.435971 | − | 0.0776467i | ||||
\(781\) | −8.91985 | + | 10.6303i | −0.319177 | + | 0.380381i | ||||
\(782\) | −4.47437 | − | 12.2932i | −0.160003 | − | 0.439605i | ||||
\(783\) | 1.89318 | + | 3.41061i | 0.0676566 | + | 0.121885i | ||||
\(784\) | 0.0611449 | − | 0.346770i | 0.00218375 | − | 0.0123846i | ||||
\(785\) | −27.2506 | − | 3.07744i | −0.972615 | − | 0.109839i | ||||
\(786\) | 12.6223 | − | 1.40347i | 0.450222 | − | 0.0500602i | ||||
\(787\) | −8.84289 | + | 15.3163i | −0.315215 | + | 0.545969i | −0.979483 | − | 0.201526i | \(-0.935410\pi\) |
0.664268 | + | 0.747494i | \(0.268743\pi\) | |||||||
\(788\) | −2.46031 | + | 2.06445i | −0.0876451 | + | 0.0735430i | ||||
\(789\) | −7.87493 | − | 26.8525i | −0.280355 | − | 0.955973i | ||||
\(790\) | 35.5614 | + | 10.4954i | 1.26522 | + | 0.373411i | ||||
\(791\) | −19.4649 | − | 33.7142i | −0.692092 | − | 1.19874i | ||||
\(792\) | −3.51714 | − | 8.41241i | −0.124976 | − | 0.298922i | ||||
\(793\) | 5.63645 | − | 31.9659i | 0.200156 | − | 1.13514i | ||||
\(794\) | 3.94207 | + | 22.3566i | 0.139899 | + | 0.793406i | ||||
\(795\) | 2.93012 | + | 16.7863i | 0.103921 | + | 0.595349i | ||||
\(796\) | 2.53556 | + | 2.12759i | 0.0898707 | + | 0.0754104i | ||||
\(797\) | − | 33.2416i | − | 1.17748i | −0.808323 | − | 0.588739i | \(-0.799624\pi\) | ||
0.808323 | − | 0.588739i | \(-0.200376\pi\) | |||||||
\(798\) | 7.84740 | − | 17.8143i | 0.277795 | − | 0.630618i | ||||
\(799\) | −22.3651 | −0.791222 | ||||||||
\(800\) | −1.11509 | + | 4.87407i | −0.0394244 | + | 0.172324i | ||||
\(801\) | −34.8744 | − | 18.0083i | −1.23223 | − | 0.636291i | ||||
\(802\) | 8.41141 | − | 1.48316i | 0.297017 | − | 0.0523721i | ||||
\(803\) | 5.19112 | − | 29.4403i | 0.183191 | − | 1.03893i | ||||
\(804\) | −14.7162 | + | 15.4237i | −0.519002 | + | 0.543953i | ||||
\(805\) | −20.0979 | − | 21.1367i | −0.708356 | − | 0.744971i | ||||
\(806\) | −13.7855 | + | 23.8772i | −0.485573 | + | 0.841038i | ||||
\(807\) | 5.86604 | + | 20.0024i | 0.206494 | + | 0.704118i | ||||
\(808\) | 13.5414 | − | 11.3626i | 0.476384 | − | 0.399734i | ||||
\(809\) | −10.5267 | − | 6.07759i | −0.370099 | − | 0.213677i | 0.303403 | − | 0.952862i | \(-0.401877\pi\) |
−0.673502 | + | 0.739186i | \(0.735211\pi\) | |||||||
\(810\) | 15.6540 | − | 12.6472i | 0.550026 | − | 0.444377i | ||||
\(811\) | −1.13858 | + | 3.12822i | −0.0399810 | + | 0.109847i | −0.958077 | − | 0.286512i | \(-0.907504\pi\) |
0.918096 | + | 0.396359i | \(0.129726\pi\) | |||||||
\(812\) | −1.90619 | − | 0.336113i | −0.0668943 | − | 0.0117953i | ||||
\(813\) | 19.9703 | + | 4.85176i | 0.700390 | + | 0.170158i | ||||
\(814\) | −18.0005 | + | 6.55164i | −0.630916 | + | 0.229635i | ||||
\(815\) | −29.5765 | − | 14.7097i | −1.03602 | − | 0.515257i | ||||
\(816\) | −1.79714 | + | 4.10267i | −0.0629123 | + | 0.143622i | ||||
\(817\) | 7.80015 | − | 21.2933i | 0.272893 | − | 0.744959i | ||||
\(818\) | −16.4011 | −0.573449 | ||||||||
\(819\) | −24.6731 | + | 1.15894i | −0.862149 | + | 0.0404967i | ||||
\(820\) | −0.320676 | − | 0.483446i | −0.0111985 | − | 0.0168827i | ||||
\(821\) | 5.30027 | − | 0.934581i | 0.184981 | − | 0.0326171i | −0.0803903 | − | 0.996763i | \(-0.525617\pi\) |
0.265371 | + | 0.964146i | \(0.414506\pi\) | |||||||
\(822\) | 13.0936 | − | 19.6663i | 0.456693 | − | 0.685940i | ||||
\(823\) | 17.5144 | − | 48.1204i | 0.610514 | − | 1.67737i | −0.118568 | − | 0.992946i | \(-0.537830\pi\) |
0.729082 | − | 0.684426i | \(-0.239947\pi\) | |||||||
\(824\) | −16.3427 | + | 9.43548i | −0.569326 | + | 0.328701i | ||||
\(825\) | −11.7618 | + | 23.5475i | −0.409492 | + | 0.819819i | ||||
\(826\) | 8.00347 | − | 6.71571i | 0.278476 | − | 0.233669i | ||||
\(827\) | 21.7299 | + | 25.8966i | 0.755621 | + | 0.900514i | 0.997563 | − | 0.0697767i | \(-0.0222287\pi\) |
−0.241942 | + | 0.970291i | \(0.577784\pi\) | |||||||
\(828\) | 14.8061 | − | 3.33379i | 0.514546 | − | 0.115857i | ||||
\(829\) | −5.36663 | + | 3.09842i | −0.186391 | + | 0.107613i | −0.590292 | − | 0.807190i | \(-0.700987\pi\) |
0.403901 | + | 0.914803i | \(0.367654\pi\) | |||||||
\(830\) | −0.837745 | − | 0.0946075i | −0.0290785 | − | 0.00328387i | ||||
\(831\) | −12.3407 | + | 18.5353i | −0.428093 | + | 0.642983i | ||||
\(832\) | 0.554511 | + | 3.14479i | 0.0192242 | + | 0.109026i | ||||
\(833\) | −0.855654 | + | 0.311433i | −0.0296466 | + | 0.0107905i | ||||
\(834\) | −2.95925 | − | 5.97586i | −0.102471 | − | 0.206927i | ||||
\(835\) | −31.6925 | + | 7.64195i | −1.09677 | + | 0.264461i | ||||
\(836\) | −11.4595 | − | 6.64787i | −0.396337 | − | 0.229922i | ||||
\(837\) | −14.6313 | − | 42.4107i | −0.505732 | − | 1.46593i | ||||
\(838\) | −0.0994859 | − | 0.0834786i | −0.00343668 | − | 0.00288372i | ||||
\(839\) | −41.3068 | + | 15.0344i | −1.42607 | + | 0.519047i | −0.935802 | − | 0.352526i | \(-0.885323\pi\) |
−0.490267 | + | 0.871572i | \(0.663101\pi\) | |||||||
\(840\) | −0.0171721 | + | 9.98589i | −0.000592493 | + | 0.344546i | ||||
\(841\) | −4.93793 | + | 28.0044i | −0.170274 | + | 0.965670i | ||||
\(842\) | 12.7250 | + | 4.63152i | 0.438532 | + | 0.159613i | ||||
\(843\) | −27.5723 | + | 3.06576i | −0.949639 | + | 0.105590i | ||||
\(844\) | 2.22484 | + | 1.28451i | 0.0765820 | + | 0.0442146i | ||||
\(845\) | −5.04170 | − | 3.72293i | −0.173440 | − | 0.128073i | ||||
\(846\) | 3.30162 | − | 25.7351i | 0.113512 | − | 0.884790i | ||||
\(847\) | −3.93516 | − | 2.27197i | −0.135214 | − | 0.0780657i | ||||
\(848\) | 3.81029 | − | 2.19987i | 0.130846 | − | 0.0755438i | ||||
\(849\) | 23.6980 | + | 22.6109i | 0.813312 | + | 0.776006i | ||||
\(850\) | 12.3573 | − | 3.80483i | 0.423853 | − | 0.130505i | ||||
\(851\) | −5.53662 | − | 31.3997i | −0.189793 | − | 1.07637i | ||||
\(852\) | −0.504174 | + | 7.89197i | −0.0172727 | + | 0.270374i | ||||
\(853\) | 30.9769 | − | 36.9168i | 1.06063 | − | 1.26401i | 0.0974214 | − | 0.995243i | \(-0.468941\pi\) |
0.963206 | − | 0.268764i | \(-0.0866150\pi\) | |||||||
\(854\) | −26.2082 | −0.896825 | ||||||||
\(855\) | 7.01079 | − | 28.3875i | 0.239764 | − | 0.970831i | ||||
\(856\) | −4.87940 | −0.166775 | ||||||||
\(857\) | 33.1233 | − | 39.4748i | 1.13147 | − | 1.34843i | 0.202066 | − | 0.979372i | \(-0.435234\pi\) |
0.929404 | − | 0.369063i | \(-0.120321\pi\) | |||||||
\(858\) | −1.07175 | + | 16.7763i | −0.0365889 | + | 0.572735i | ||||
\(859\) | 1.80363 | + | 10.2289i | 0.0615389 | + | 0.349005i | 0.999994 | + | 0.00360200i | \(0.00114656\pi\) |
−0.938455 | + | 0.345403i | \(0.887742\pi\) | |||||||
\(860\) | 0.721696 | + | 11.6107i | 0.0246096 | + | 0.395921i | ||||
\(861\) | −0.838274 | − | 0.799823i | −0.0285683 | − | 0.0272579i | ||||
\(862\) | 18.2325 | − | 10.5265i | 0.621001 | − | 0.358535i | ||||
\(863\) | 30.2707 | + | 17.4768i | 1.03043 | + | 0.594916i | 0.917106 | − | 0.398642i | \(-0.130519\pi\) |
0.113319 | + | 0.993559i | \(0.463852\pi\) | |||||||
\(864\) | −4.45556 | − | 2.67358i | −0.151581 | − | 0.0909569i | ||||
\(865\) | −11.3291 | + | 15.3422i | −0.385202 | + | 0.521651i | ||||
\(866\) | 9.06009 | + | 5.23084i | 0.307874 | + | 0.177751i | ||||
\(867\) | −17.7529 | + | 1.97394i | −0.602919 | + | 0.0670386i | ||||
\(868\) | 20.9189 | + | 7.61387i | 0.710035 | + | 0.258432i | ||||
\(869\) | 8.75147 | − | 49.6321i | 0.296873 | − | 1.68365i | ||||
\(870\) | −2.90750 | − | 0.00499983i | −0.0985733 | − | 0.000169510i | ||||
\(871\) | 36.9328 | − | 13.4425i | 1.25142 | − | 0.455480i | ||||
\(872\) | −7.23429 | − | 6.07029i | −0.244984 | − | 0.205566i | ||||
\(873\) | 4.62428 | + | 5.01316i | 0.156508 | + | 0.169670i | ||||
\(874\) | 14.2093 | − | 16.8629i | 0.480636 | − | 0.570395i | ||||
\(875\) | 21.8643 | − | 18.7866i | 0.739148 | − | 0.635104i | ||||
\(876\) | −7.56011 | − | 15.2667i | −0.255432 | − | 0.515816i | ||||
\(877\) | 48.5858 | − | 17.6838i | 1.64063 | − | 0.597139i | 0.653478 | − | 0.756945i | \(-0.273309\pi\) |
0.987148 | + | 0.159806i | \(0.0510869\pi\) | |||||||
\(878\) | −4.33866 | − | 24.6058i | −0.146423 | − | 0.830404i | ||||
\(879\) | 4.68516 | − | 7.03698i | 0.158027 | − | 0.237352i | ||||
\(880\) | 6.75327 | + | 0.762655i | 0.227653 | + | 0.0257091i | ||||
\(881\) | 14.5985 | − | 8.42846i | 0.491837 | − | 0.283962i | −0.233499 | − | 0.972357i | \(-0.575018\pi\) |
0.725336 | + | 0.688395i | \(0.241684\pi\) | |||||||
\(882\) | −0.232044 | − | 1.03056i | −0.00781333 | − | 0.0347007i | ||||
\(883\) | −21.3174 | − | 25.4051i | −0.717387 | − | 0.854949i | 0.276987 | − | 0.960874i | \(-0.410664\pi\) |
−0.994374 | + | 0.105925i | \(0.966220\pi\) | |||||||
\(884\) | 6.32582 | − | 5.30799i | 0.212760 | − | 0.178527i | ||||
\(885\) | 10.1084 | − | 12.0048i | 0.339791 | − | 0.403536i | ||||
\(886\) | −32.2113 | + | 18.5972i | −1.08216 | + | 0.624785i | ||||
\(887\) | −12.4909 | + | 34.3185i | −0.419404 | + | 1.15230i | 0.532641 | + | 0.846341i | \(0.321200\pi\) |
−0.952044 | + | 0.305960i | \(0.901023\pi\) | |||||||
\(888\) | −6.04980 | + | 9.08663i | −0.203018 | + | 0.304927i | ||||
\(889\) | 22.2053 | − | 3.91539i | 0.744741 | − | 0.131318i | ||||
\(890\) | 24.3792 | − | 16.1710i | 0.817192 | − | 0.542054i | ||||
\(891\) | −19.4697 | − | 19.2141i | −0.652260 | − | 0.643696i | ||||
\(892\) | −15.0587 | −0.504203 | ||||||||
\(893\) | −18.7816 | − | 32.6870i | −0.628503 | − | 1.09383i | ||||
\(894\) | 6.02158 | − | 13.7466i | 0.201392 | − | 0.459756i | ||||
\(895\) | −18.3979 | + | 36.9923i | −0.614974 | + | 1.23652i | ||||
\(896\) | 2.42286 | − | 0.881847i | 0.0809419 | − | 0.0294604i | ||||
\(897\) | −27.1898 | − | 6.60570i | −0.907840 | − | 0.220558i | ||||
\(898\) | −9.11539 | − | 1.60729i | −0.304184 | − | 0.0536359i | ||||
\(899\) | −2.21686 | + | 6.09077i | −0.0739364 | + | 0.203139i | ||||
\(900\) | 2.55390 | + | 14.7810i | 0.0851301 | + | 0.492700i | ||||
\(901\) | −9.85326 | − | 5.68878i | −0.328260 | − | 0.189521i | ||||
\(902\) | −0.604056 | + | 0.506863i | −0.0201129 | + | 0.0168767i | ||||
\(903\) | 6.53821 | + | 22.2944i | 0.217578 | + | 0.741911i | ||||
\(904\) | −7.54937 | + | 13.0759i | −0.251088 | + | 0.434898i | ||||
\(905\) | 3.38674 | + | 3.56180i | 0.112579 | + | 0.118398i | ||||
\(906\) | −24.9492 | + | 26.1486i | −0.828882 | + | 0.868730i | ||||
\(907\) | −1.37938 | + | 7.82283i | −0.0458015 | + | 0.259753i | −0.999107 | − | 0.0422550i | \(-0.986546\pi\) |
0.953305 | + | 0.302008i | \(0.0976569\pi\) | |||||||
\(908\) | 11.8658 | − | 2.09226i | 0.393780 | − | 0.0694340i | ||||
\(909\) | 24.3315 | − | 47.1198i | 0.807024 | − | 1.56287i | ||||
\(910\) | 8.19840 | − | 16.4844i | 0.271774 | − | 0.546452i | ||||
\(911\) | −51.3737 | −1.70209 | −0.851044 | − | 0.525095i | \(-0.824030\pi\) | ||||
−0.851044 | + | 0.525095i | \(0.824030\pi\) | |||||||
\(912\) | −7.50531 | + | 0.818773i | −0.248525 | + | 0.0271123i | ||||
\(913\) | 1.14593i | 0.0379249i | ||||||||
\(914\) | 3.89768 | + | 3.27054i | 0.128924 | + | 0.108180i | ||||
\(915\) | −38.7814 | + | 6.76946i | −1.28207 | + | 0.223791i | ||||
\(916\) | 2.47918 | + | 14.0601i | 0.0819143 | + | 0.464559i | ||||
\(917\) | −3.28290 | + | 18.6182i | −0.108411 | + | 0.614828i | ||||
\(918\) | −0.226544 | + | 13.4352i | −0.00747707 | + | 0.443426i | ||||
\(919\) | −10.5103 | − | 18.2044i | −0.346704 | − | 0.600509i | 0.638958 | − | 0.769242i | \(-0.279366\pi\) |
−0.985662 | + | 0.168733i | \(0.946033\pi\) | |||||||
\(920\) | −3.20205 | + | 10.8494i | −0.105568 | + | 0.357695i | ||||
\(921\) | −2.11549 | − | 7.21355i | −0.0697079 | − | 0.237695i | ||||
\(922\) | 18.4873 | − | 15.5127i | 0.608846 | − | 0.510882i | ||||
\(923\) | 7.28986 | − | 12.6264i | 0.239949 | − | 0.415603i | ||||
\(924\) | 13.4901 | − | 1.49996i | 0.443792 | − | 0.0493452i | ||||
\(925\) | 31.2702 | − | 3.90247i | 1.02816 | − | 0.128312i | ||||
\(926\) | −0.620365 | + | 3.51827i | −0.0203865 | + | 0.115617i | ||||
\(927\) | −34.3152 | + | 45.0277i | −1.12706 | + | 1.47890i | ||||
\(928\) | 0.256759 | + | 0.705440i | 0.00842853 | + | 0.0231572i | ||||
\(929\) | 21.1905 | − | 25.2538i | 0.695237 | − | 0.828552i | −0.296741 | − | 0.954958i | \(-0.595900\pi\) |
0.991979 | + | 0.126406i | \(0.0403443\pi\) | |||||||
\(930\) | 32.9213 | + | 5.86331i | 1.07953 | + | 0.192265i | ||||
\(931\) | −1.17372 | − | 0.989019i | −0.0384671 | − | 0.0324138i | ||||
\(932\) | 4.64209 | 0.152057 | ||||||||
\(933\) | 19.2409 | + | 38.8547i | 0.629918 | + | 1.27205i | ||||
\(934\) | 10.2508 | + | 28.1638i | 0.335416 | + | 0.921547i | ||||
\(935\) | −7.02388 | − | 16.1101i | −0.229705 | − | 0.526857i | ||||
\(936\) | 5.17395 | + | 8.06256i | 0.169116 | + | 0.263533i | ||||
\(937\) | 12.1962 | − | 33.5088i | 0.398433 | − | 1.09469i | −0.564615 | − | 0.825355i | \(-0.690975\pi\) |
0.963048 | − | 0.269331i | \(-0.0868026\pi\) | |||||||
\(938\) | −15.8671 | − | 27.4827i | −0.518080 | − | 0.897341i | ||||
\(939\) | −0.975919 | + | 0.718056i | −0.0318479 | + | 0.0234329i | ||||
\(940\) | 15.5572 | + | 11.4879i | 0.507420 | + | 0.374693i | ||||
\(941\) | 15.2406 | − | 12.7884i | 0.496828 | − | 0.416888i | −0.359638 | − | 0.933092i | \(-0.617100\pi\) |
0.856466 | + | 0.516204i | \(0.172655\pi\) | |||||||
\(942\) | 12.5891 | + | 17.1100i | 0.410175 | + | 0.557475i | ||||
\(943\) | −0.656250 | − | 1.13666i | −0.0213705 | − | 0.0370147i | ||||
\(944\) | −3.80775 | − | 1.38591i | −0.123932 | − | 0.0451074i | ||||
\(945\) | 11.5082 | + | 27.6591i | 0.374360 | + | 0.899751i | ||||
\(946\) | 15.5719 | − | 2.74575i | 0.506287 | − | 0.0892720i | ||||
\(947\) | −6.53179 | + | 2.37738i | −0.212255 | + | 0.0772544i | −0.445959 | − | 0.895053i | \(-0.647137\pi\) |
0.233705 | + | 0.972308i | \(0.424915\pi\) | |||||||
\(948\) | −12.7453 | − | 25.7375i | −0.413947 | − | 0.835916i | ||||
\(949\) | 31.4087i | 1.01957i | ||||||||
\(950\) | 15.9382 | + | 14.8652i | 0.517102 | + | 0.482292i | ||||
\(951\) | −24.6028 | − | 10.7770i | −0.797801 | − | 0.349469i | ||||
\(952\) | −5.10761 | − | 4.28580i | −0.165539 | − | 0.138903i | ||||
\(953\) | −5.10711 | − | 14.0317i | −0.165436 | − | 0.454531i | 0.829079 | − | 0.559132i | \(-0.188866\pi\) |
−0.994514 | + | 0.104601i | \(0.966643\pi\) | |||||||
\(954\) | 8.00053 | − | 10.4981i | 0.259027 | − | 0.339890i | ||||
\(955\) | −0.248193 | − | 3.99293i | −0.00803133 | − | 0.129208i | ||||
\(956\) | −7.55997 | + | 20.7709i | −0.244507 | + | 0.671777i | ||||
\(957\) | 0.436730 | + | 3.92778i | 0.0141175 | + | 0.126967i | ||||
\(958\) | 7.53934 | − | 13.0585i | 0.243585 | − | 0.421901i | ||||
\(959\) | 22.6071 | + | 26.9421i | 0.730022 | + | 0.870007i | ||||
\(960\) | 3.35743 | − | 1.93072i | 0.108360 | − | 0.0623138i | ||||
\(961\) | 21.7730 | − | 37.7120i | 0.702356 | − | 1.21652i | ||||
\(962\) | 17.4296 | − | 10.0630i | 0.561953 | − | 0.324444i | ||||
\(963\) | −13.5054 | + | 5.64645i | −0.435204 | + | 0.181954i | ||||
\(964\) | 17.5544 | + | 3.09531i | 0.565388 | + | 0.0996932i | ||||
\(965\) | −6.60174 | + | 2.87831i | −0.212518 | + | 0.0926560i | ||||
\(966\) | −1.44036 | + | 22.5463i | −0.0463428 | + | 0.725415i | ||||
\(967\) | −0.868335 | + | 1.03484i | −0.0279238 | + | 0.0332783i | −0.779826 | − | 0.625997i | \(-0.784692\pi\) |
0.751902 | + | 0.659275i | \(0.229137\pi\) | |||||||
\(968\) | 1.76234i | 0.0566438i | ||||||||
\(969\) | 11.5379 | + | 15.7496i | 0.370650 | + | 0.505948i | ||||
\(970\) | −4.94187 | + | 1.19162i | −0.158674 | + | 0.0382607i | ||||
\(971\) | −1.01292 | − | 0.849937i | −0.0325060 | − | 0.0272758i | 0.626390 | − | 0.779510i | \(-0.284532\pi\) |
−0.658896 | + | 0.752234i | \(0.728976\pi\) | |||||||
\(972\) | −15.4261 | − | 2.24402i | −0.494792 | − | 0.0719771i | ||||
\(973\) | 9.77590 | − | 1.72376i | 0.313401 | − | 0.0552611i | ||||
\(974\) | 27.6866 | + | 4.88190i | 0.887137 | + | 0.156426i | ||||
\(975\) | 7.87369 | − | 26.5103i | 0.252160 | − | 0.849008i | ||||
\(976\) | 5.08235 | + | 8.80290i | 0.162682 | + | 0.281774i | ||||
\(977\) | −52.9508 | − | 30.5712i | −1.69405 | − | 0.978059i | −0.951188 | − | 0.308612i | \(-0.900136\pi\) |
−0.742860 | − | 0.669447i | \(-0.766531\pi\) | |||||||
\(978\) | 7.20050 | + | 24.5527i | 0.230247 | + | 0.785110i | ||||
\(979\) | −25.5600 | − | 30.4613i | −0.816902 | − | 0.973546i | ||||
\(980\) | 0.755160 | + | 0.222874i | 0.0241227 | + | 0.00711946i | ||||
\(981\) | −27.0478 | − | 8.42999i | −0.863571 | − | 0.269149i | ||||
\(982\) | −14.6830 | − | 5.34417i | −0.468553 | − | 0.170539i | ||||
\(983\) | 22.7822 | + | 4.01712i | 0.726640 | + | 0.128126i | 0.524719 | − | 0.851276i | \(-0.324171\pi\) |
0.201921 | + | 0.979402i | \(0.435282\pi\) | |||||||
\(984\) | −0.106087 | + | 0.436667i | −0.00338194 | + | 0.0139204i | ||||
\(985\) | −3.96973 | − | 5.98471i | −0.126486 | − | 0.190689i | ||||
\(986\) | 1.24785 | − | 1.48714i | 0.0397398 | − | 0.0473600i | ||||
\(987\) | 35.3782 | + | 15.4970i | 1.12610 | + | 0.493276i | ||||
\(988\) | 13.0700 | + | 4.78777i | 0.415811 | + | 0.152319i | ||||
\(989\) | 26.3189i | 0.836891i | ||||||||
\(990\) | 19.5744 | − | 5.70400i | 0.622117 | − | 0.181285i | ||||
\(991\) | 16.8173 | + | 46.2051i | 0.534218 | + | 1.46775i | 0.854006 | + | 0.520263i | \(0.174166\pi\) |
−0.319788 | + | 0.947489i | \(0.603612\pi\) | |||||||
\(992\) | −1.49928 | − | 8.50284i | −0.0476022 | − | 0.269965i | ||||
\(993\) | −21.9371 | + | 32.9489i | −0.696153 | + | 1.04560i | ||||
\(994\) | −11.0621 | − | 4.02626i | −0.350868 | − | 0.127705i | ||||
\(995\) | −5.36363 | + | 5.10001i | −0.170038 | + | 0.161681i | ||||
\(996\) | 0.387018 | + | 0.526001i | 0.0122631 | + | 0.0166670i | ||||
\(997\) | −28.3530 | − | 33.7898i | −0.897948 | − | 1.07013i | −0.997178 | − | 0.0750682i | \(-0.976083\pi\) |
0.0992304 | − | 0.995064i | \(-0.468362\pi\) | |||||||
\(998\) | −15.8710 | − | 18.9144i | −0.502388 | − | 0.598723i | ||||
\(999\) | −6.22976 | + | 32.1511i | −0.197101 | + | 1.01722i |
(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 | 570.2.bf.a.269.30 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.15 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.11 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.26 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.26 | yes | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.11 | ✓ | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.15 | yes | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.30 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.11 | ✓ | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.89.15 | yes | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.89.26 | yes | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.89.30 | yes | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.269.11 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.15 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.269.26 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.269.30 | yes | 240 | 1.1 | even | 1 | trivial |