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 | 269.15 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.15 |
$q$-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 | ||||
\(3\) | 1.19567 | + | 1.25315i | 0.690319 | + | 0.723505i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −2.23176 | + | 0.138722i | −0.998074 | + | 0.0620383i | ||||
\(6\) | −1.72853 | + | 0.110426i | −0.705668 | + | 0.0450813i | ||||
\(7\) | 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 | ||||
\(9\) | −0.140760 | + | 2.99670i | −0.0469201 | + | 0.998899i | ||||
\(10\) | 1.32828 | − | 1.79880i | 0.420039 | − | 0.568829i | ||||
\(11\) | 2.63216 | + | 1.51968i | 0.793625 | + | 0.458199i | 0.841237 | − | 0.540666i | \(-0.181828\pi\) |
−0.0476123 | + | 0.998866i | \(0.515161\pi\) | |||||||
\(12\) | 1.02648 | − | 1.39511i | 0.296321 | − | 0.402733i | ||||
\(13\) | 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 | ||||
\(15\) | −2.84228 | − | 2.63086i | −0.733874 | − | 0.679286i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −1.98096 | − | 1.66223i | −0.480454 | − | 0.403149i | 0.370136 | − | 0.928977i | \(-0.379311\pi\) |
−0.850591 | + | 0.525828i | \(0.823755\pi\) | |||||||
\(18\) | −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 | ||||
\(21\) | 4.28535 | + | 1.25675i | 0.935140 | + | 0.274245i | ||||
\(22\) | −2.85606 | + | 1.03952i | −0.608913 | + | 0.221626i | ||||
\(23\) | 0.878472 | + | 4.98206i | 0.183174 | + | 1.03883i | 0.928279 | + | 0.371884i | \(0.121288\pi\) |
−0.745105 | + | 0.666947i | \(0.767601\pi\) | |||||||
\(24\) | 0.408904 | + | 1.68309i | 0.0834672 | + | 0.343560i | ||||
\(25\) | 4.96151 | − | 0.619188i | 0.992303 | − | 0.123838i | ||||
\(26\) | −2.76548 | + | 1.59665i | −0.542356 | + | 0.313129i | ||||
\(27\) | −3.92361 | + | 3.40666i | −0.755098 | + | 0.655611i | ||||
\(28\) | −1.65733 | − | 1.97513i | −0.313206 | − | 0.373264i | ||||
\(29\) | −0.575080 | + | 0.482549i | −0.106790 | + | 0.0896071i | −0.694619 | − | 0.719378i | \(-0.744427\pi\) |
0.587829 | + | 0.808985i | \(0.299983\pi\) | |||||||
\(30\) | 3.84234 | − | 0.486229i | 0.701512 | − | 0.0887729i | ||||
\(31\) | −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 | ||||
\(33\) | 1.24280 | + | 5.11551i | 0.216344 | + | 0.890496i | ||||
\(34\) | 2.54668 | − | 0.449048i | 0.436752 | − | 0.0770111i | ||||
\(35\) | −4.80450 | + | 3.18688i | −0.812108 | + | 0.538681i | ||||
\(36\) | 2.97561 | − | 0.381749i | 0.495935 | − | 0.0636248i | ||||
\(37\) | 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 | −0.360987 | − | 0.932571i | \(-0.617560\pi\) |
0.322913 | + | 0.946429i | \(0.395338\pi\) | |||||||
\(42\) | −3.71730 | + | 2.47494i | −0.573591 | + | 0.381892i | ||||
\(43\) | −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 | ||||
\(45\) | −0.101564 | − | 6.70744i | −0.0151402 | − | 0.999885i | ||||
\(46\) | −4.38115 | − | 2.52946i | −0.645965 | − | 0.372948i | ||||
\(47\) | 6.62526 | − | 5.55925i | 0.966394 | − | 0.810901i | −0.0155877 | − | 0.999879i | \(-0.504962\pi\) |
0.981981 | + | 0.188978i | \(0.0605175\pi\) | |||||||
\(48\) | −1.55216 | − | 0.768632i | −0.224035 | − | 0.110942i | ||||
\(49\) | −0.176060 | + | 0.304944i | −0.0251514 | + | 0.0435635i | ||||
\(50\) | −2.71487 | + | 4.19875i | −0.383941 | + | 0.593792i | ||||
\(51\) | −0.285558 | − | 4.46991i | −0.0399861 | − | 0.625912i | ||||
\(52\) | 0.554511 | − | 3.14479i | 0.0768969 | − | 0.436104i | ||||
\(53\) | 4.33290 | − | 0.764007i | 0.595169 | − | 0.104944i | 0.132054 | − | 0.991243i | \(-0.457843\pi\) |
0.463115 | + | 0.886298i | \(0.346732\pi\) | |||||||
\(54\) | −0.0876053 | − | 5.19541i | −0.0119216 | − | 0.707006i | ||||
\(55\) | −6.08515 | − | 3.02642i | −0.820522 | − | 0.408082i | ||||
\(56\) | 2.57835 | 0.344546 | ||||||||
\(57\) | −6.29304 | + | 4.17105i | −0.833533 | + | 0.552470i | ||||
\(58\) | − | 0.750713i | − | 0.0985735i | ||||||
\(59\) | −3.10411 | − | 2.60465i | −0.404120 | − | 0.339097i | 0.417963 | − | 0.908464i | \(-0.362744\pi\) |
−0.822084 | + | 0.569367i | \(0.807188\pi\) | |||||||
\(60\) | −2.09734 | + | 3.25595i | −0.270765 | + | 0.420341i | ||||
\(61\) | −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 | ||||
\(63\) | 3.54896 | + | 6.87283i | 0.447127 | + | 0.865896i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −6.84840 | − | 2.02120i | −0.849440 | − | 0.250700i | ||||
\(66\) | −4.71756 | − | 2.33614i | −0.580692 | − | 0.287559i | ||||
\(67\) | 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 | ||||
\(69\) | −5.19290 | + | 7.05774i | −0.625152 | + | 0.849652i | ||||
\(70\) | 0.646977 | − | 5.72895i | 0.0773285 | − | 0.684740i | ||||
\(71\) | −0.792828 | + | 4.49635i | −0.0940914 | + | 0.533619i | 0.900931 | + | 0.433963i | \(0.142885\pi\) |
−0.995022 | + | 0.0996557i | \(0.968226\pi\) | |||||||
\(72\) | −1.62025 | + | 2.52483i | −0.190948 | + | 0.297555i | ||||
\(73\) | 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 | ||||
\(75\) | 6.70825 | + | 5.47717i | 0.774602 | + | 0.632449i | ||||
\(76\) | 4.35889 | + | 0.00903289i | 0.499999 | + | 0.00103614i | ||||
\(77\) | 7.83651 | 0.893053 | ||||||||
\(78\) | −5.30744 | − | 1.55649i | −0.600949 | − | 0.176238i | ||||
\(79\) | 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 | ||||
\(81\) | −8.96037 | − | 0.843632i | −0.995597 | − | 0.0937369i | ||||
\(82\) | 0.0887348 | − | 0.243797i | 0.00979912 | − | 0.0269228i | ||||
\(83\) | 0.188516 | + | 0.326520i | 0.0206923 | + | 0.0358402i | 0.876186 | − | 0.481973i | \(-0.160080\pi\) |
−0.855494 | + | 0.517813i | \(0.826746\pi\) | |||||||
\(84\) | 0.493514 | − | 4.43848i | 0.0538468 | − | 0.484278i | ||||
\(85\) | 4.65162 | + | 3.43489i | 0.504539 | + | 0.372566i | ||||
\(86\) | 3.98532 | − | 3.34408i | 0.429748 | − | 0.360602i | ||||
\(87\) | −1.29231 | − | 0.143692i | −0.138550 | − | 0.0154054i | ||||
\(88\) | 1.51968 | + | 2.63216i | 0.161998 | + | 0.280589i | ||||
\(89\) | −12.2942 | − | 4.47471i | −1.30318 | − | 0.474318i | −0.405148 | − | 0.914251i | \(-0.632780\pi\) |
−0.898031 | + | 0.439933i | \(0.855002\pi\) | |||||||
\(90\) | 5.20348 | + | 4.23365i | 0.548495 | + | 0.446266i | ||||
\(91\) | 8.10836 | − | 1.42972i | 0.849987 | − | 0.149876i | ||||
\(92\) | 4.75383 | − | 1.73025i | 0.495621 | − | 0.180391i | ||||
\(93\) | −14.3502 | − | 4.20843i | −1.48804 | − | 0.436393i | ||||
\(94\) | 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 | ||||
\(99\) | −4.92451 | + | 7.67386i | −0.494932 | + | 0.771252i | ||||
\(100\) | −1.47134 | − | 4.77862i | −0.147134 | − | 0.477862i | ||||
\(101\) | 6.04590 | − | 16.6110i | 0.601590 | − | 1.65285i | −0.146465 | − | 0.989216i | \(-0.546789\pi\) |
0.748054 | − | 0.663638i | \(-0.230988\pi\) | |||||||
\(102\) | 3.60770 | + | 2.65445i | 0.357216 | + | 0.262830i | ||||
\(103\) | 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 | ||||
\(105\) | −9.73821 | − | 2.21029i | −0.950352 | − | 0.215703i | ||||
\(106\) | −2.19987 | + | 3.81029i | −0.213670 | + | 0.370088i | ||||
\(107\) | −4.22569 | + | 2.43970i | −0.408513 | + | 0.235855i | −0.690150 | − | 0.723666i | \(-0.742456\pi\) |
0.281638 | + | 0.959521i | \(0.409122\pi\) | |||||||
\(108\) | 4.03623 | + | 3.27244i | 0.388386 | + | 0.314891i | ||||
\(109\) | 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 | ||||
\(111\) | 7.53577 | + | 7.89804i | 0.715263 | + | 0.749649i | ||||
\(112\) | −1.65733 | + | 1.97513i | −0.156603 | + | 0.186632i | ||||
\(113\) | 15.0987i | 1.42037i | 0.704015 | + | 0.710185i | \(0.251389\pi\) | ||||
−0.704015 | + | 0.710185i | \(0.748611\pi\) | |||||||
\(114\) | 0.849872 | − | 7.50185i | 0.0795978 | − | 0.702612i | ||||
\(115\) | −2.65166 | − | 10.9969i | −0.247268 | − | 1.02547i | ||||
\(116\) | 0.575080 | + | 0.482549i | 0.0533948 | + | 0.0448036i | ||||
\(117\) | −3.69530 | + | 8.83852i | −0.341630 | + | 0.817121i | ||||
\(118\) | 3.99056 | − | 0.703644i | 0.367361 | − | 0.0647756i | ||||
\(119\) | −6.56622 | − | 1.15780i | −0.601925 | − | 0.106136i | ||||
\(120\) | −1.14606 | − | 3.69953i | −0.104620 | − | 0.337720i | ||||
\(121\) | −0.881171 | − | 1.52623i | −0.0801065 | − | 0.138748i | ||||
\(122\) | 8.80290 | + | 5.08235i | 0.796977 | + | 0.460135i | ||||
\(123\) | −0.402698 | − | 0.199416i | −0.0363100 | − | 0.0179808i | ||||
\(124\) | 5.54983 | + | 6.61403i | 0.498390 | + | 0.593958i | ||||
\(125\) | −10.9870 | + | 2.07015i | −0.982708 | + | 0.185160i | ||||
\(126\) | −7.54612 | − | 1.69911i | −0.672262 | − | 0.151369i | ||||
\(127\) | 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 | ||||
\(129\) | −4.99383 | − | 7.50059i | −0.439682 | − | 0.660390i | ||||
\(130\) | 5.95040 | − | 3.94698i | 0.521885 | − | 0.346173i | ||||
\(131\) | 4.71317 | − | 5.61694i | 0.411792 | − | 0.490754i | −0.519786 | − | 0.854296i | \(-0.673988\pi\) |
0.931578 | + | 0.363542i | \(0.118433\pi\) | |||||||
\(132\) | 4.82198 | − | 2.11222i | 0.419700 | − | 0.183845i | ||||
\(133\) | 3.82199 | + | 10.5689i | 0.331408 | + | 0.916442i | ||||
\(134\) | 12.3080i | 1.06325i | ||||||||
\(135\) | 8.28397 | − | 8.14713i | 0.712971 | − | 0.701194i | ||||
\(136\) | −0.884452 | − | 2.43001i | −0.0758411 | − | 0.208372i | ||||
\(137\) | −2.36868 | − | 13.4335i | −0.202370 | − | 1.14770i | −0.901525 | − | 0.432727i | \(-0.857551\pi\) |
0.699155 | − | 0.714970i | \(-0.253560\pi\) | |||||||
\(138\) | −2.06861 | − | 8.51462i | −0.176092 | − | 0.724813i | ||||
\(139\) | 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 | ||||
\(141\) | 14.8882 | + | 1.65542i | 1.25381 | + | 0.139411i | ||||
\(142\) | −2.93479 | − | 3.49754i | −0.246282 | − | 0.293507i | ||||
\(143\) | 6.23862 | + | 7.43490i | 0.521700 | + | 0.621737i | ||||
\(144\) | −0.892659 | − | 2.86412i | −0.0743882 | − | 0.238676i | ||||
\(145\) | 1.21650 | − | 1.15671i | 0.101025 | − | 0.0960596i | ||||
\(146\) | −9.24263 | − | 3.36404i | −0.764925 | − | 0.278410i | ||||
\(147\) | −0.592649 | + | 0.143983i | −0.0488809 | + | 0.0118755i | ||||
\(148\) | −1.09443 | − | 6.20681i | −0.0899615 | − | 0.510197i | ||||
\(149\) | −2.96349 | − | 8.14212i | −0.242779 | − | 0.667029i | −0.999905 | − | 0.0137607i | \(-0.995620\pi\) |
0.757127 | − | 0.653268i | \(-0.226603\pi\) | |||||||
\(150\) | −8.50773 | + | 1.61816i | −0.694654 | + | 0.132122i | ||||
\(151\) | − | 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 | ||||
\(156\) | 4.60390 | − | 3.06524i | 0.368607 | − | 0.245415i | ||||
\(157\) | −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 | ||||
\(159\) | 6.13812 | + | 4.51626i | 0.486784 | + | 0.358163i | ||||
\(160\) | −0.632951 | + | 2.14461i | −0.0500392 | + | 0.169547i | ||||
\(161\) | 8.38430 | + | 9.99201i | 0.660775 | + | 0.787481i | ||||
\(162\) | 6.40588 | − | 6.32177i | 0.503293 | − | 0.496685i | ||||
\(163\) | −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 | ||||
\(165\) | −3.48327 | − | 11.2442i | −0.271172 | − | 0.875359i | ||||
\(166\) | −0.371304 | − | 0.0654710i | −0.0288188 | − | 0.00508153i | ||||
\(167\) | 14.3580 | − | 2.53171i | 1.11106 | − | 0.195910i | 0.412147 | − | 0.911117i | \(-0.364779\pi\) |
0.698912 | + | 0.715208i | \(0.253668\pi\) | |||||||
\(168\) | 3.08285 | + | 3.23105i | 0.237847 | + | 0.249281i | ||||
\(169\) | −2.14708 | − | 1.80162i | −0.165160 | − | 0.138586i | ||||
\(170\) | −5.62128 | + | 1.35545i | −0.431133 | + | 0.103958i | ||||
\(171\) | −12.7513 | − | 2.89891i | −0.975118 | − | 0.221685i | ||||
\(172\) | 5.20247i | 0.396685i | ||||||||
\(173\) | 5.48244 | − | 6.53372i | 0.416822 | − | 0.496749i | −0.516250 | − | 0.856438i | \(-0.672673\pi\) |
0.933072 | + | 0.359688i | \(0.117117\pi\) | |||||||
\(174\) | 0.940755 | − | 0.897603i | 0.0713184 | − | 0.0680471i | ||||
\(175\) | 10.2804 | − | 7.77885i | 0.777125 | − | 0.588026i | ||||
\(176\) | −2.99318 | − | 0.527778i | −0.225619 | − | 0.0397828i | ||||
\(177\) | −0.447460 | − | 7.00420i | −0.0336331 | − | 0.526468i | ||||
\(178\) | 11.3304 | − | 6.54159i | 0.849246 | − | 0.490313i | ||||
\(179\) | 9.23826 | − | 16.0011i | 0.690500 | − | 1.19598i | −0.281174 | − | 0.959657i | \(-0.590724\pi\) |
0.971674 | − | 0.236325i | \(-0.0759429\pi\) | |||||||
\(180\) | −6.58790 | + | 1.26475i | −0.491033 | + | 0.0942692i | ||||
\(181\) | 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 | ||||
\(183\) | 10.4339 | − | 14.1809i | 0.771297 | − | 1.04828i | ||||
\(184\) | −1.73025 | + | 4.75383i | −0.127556 | + | 0.350457i | ||||
\(185\) | −14.0658 | + | 0.874303i | −1.03414 | + | 0.0642800i | ||||
\(186\) | 12.4480 | − | 8.28774i | 0.912728 | − | 0.607687i | ||||
\(187\) | −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 | \(0.0206182\pi\) | ||||
−0.997903 | + | 0.0647288i | \(0.979382\pi\) | |||||||
\(192\) | −0.487425 | + | 1.66205i | −0.0351768 | + | 0.119948i | ||||
\(193\) | −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 | ||||
\(195\) | −5.65554 | − | 10.9988i | −0.405002 | − | 0.787637i | ||||
\(196\) | 0.330884 | + | 0.120432i | 0.0236346 | + | 0.00860228i | ||||
\(197\) | 1.60586 | + | 2.78142i | 0.114413 | + | 0.198168i | 0.917545 | − | 0.397633i | \(-0.130168\pi\) |
−0.803132 | + | 0.595801i | \(0.796835\pi\) | |||||||
\(198\) | −2.71310 | − | 8.70506i | −0.192812 | − | 0.618641i | ||||
\(199\) | −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 | ||||
\(201\) | 21.1875 | + | 2.35583i | 1.49445 | + | 0.166168i | ||||
\(202\) | 8.83851 | + | 15.3088i | 0.621876 | + | 1.07712i | ||||
\(203\) | −0.662014 | + | 1.81887i | −0.0464643 | + | 0.127660i | ||||
\(204\) | −4.35241 | + | 1.05741i | −0.304730 | + | 0.0740336i | ||||
\(205\) | 0.531787 | − | 0.231855i | 0.0371416 | − | 0.0161934i | ||||
\(206\) | 6.45425 | + | 17.7329i | 0.449689 | + | 1.23551i | ||||
\(207\) | −15.0534 | + | 1.93124i | −1.04628 | + | 0.134230i | ||||
\(208\) | −3.19330 | −0.221416 | ||||||||
\(209\) | −8.53681 | + | 10.1311i | −0.590503 | + | 0.700780i | ||||
\(210\) | 7.95279 | − | 6.03915i | 0.548794 | − | 0.416741i | ||||
\(211\) | −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 | ||||
\(213\) | −6.58256 | + | 4.38261i | −0.451029 | + | 0.300292i | ||||
\(214\) | 0.847299 | − | 4.80527i | 0.0579202 | − | 0.328482i | ||||
\(215\) | 11.5596 | + | 1.30544i | 0.788358 | + | 0.0890302i | ||||
\(216\) | −5.10127 | + | 0.988448i | −0.347098 | + | 0.0672554i | ||||
\(217\) | −11.1307 | + | 19.2790i | −0.755604 | + | 1.30874i | ||||
\(218\) | −7.23429 | + | 6.07029i | −0.489968 | + | 0.411132i | ||||
\(219\) | −7.56011 | + | 15.2667i | −0.510865 | + | 1.03163i | ||||
\(220\) | −1.92376 | + | 6.51824i | −0.129700 | + | 0.439460i | ||||
\(221\) | −4.12888 | − | 7.15143i | −0.277739 | − | 0.481058i | ||||
\(222\) | −10.8942 | + | 0.695967i | −0.731168 | + | 0.0467103i | ||||
\(223\) | 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 | ||||
\(225\) | 1.15713 | + | 14.9553i | 0.0771422 | + | 0.997020i | ||||
\(226\) | −11.5663 | − | 9.70528i | −0.769379 | − | 0.645586i | ||||
\(227\) | − | 12.0488i | − | 0.799709i | −0.916579 | − | 0.399854i | \(-0.869061\pi\) | ||
0.916579 | − | 0.399854i | \(-0.130939\pi\) | |||||||
\(228\) | 5.20046 | + | 5.47313i | 0.344409 | + | 0.362467i | ||||
\(229\) | −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 | ||||
\(231\) | 9.36985 | + | 9.82030i | 0.616491 | + | 0.646129i | ||||
\(232\) | −0.739308 | + | 0.130360i | −0.0485380 | + | 0.00855855i | ||||
\(233\) | 0.806091 | − | 4.57157i | 0.0528088 | − | 0.299493i | −0.946952 | − | 0.321376i | \(-0.895855\pi\) |
0.999761 | + | 0.0218823i | \(0.00696591\pi\) | |||||||
\(234\) | −4.39541 | − | 8.51205i | −0.287337 | − | 0.556450i | ||||
\(235\) | −14.0148 | + | 13.3260i | −0.914225 | + | 0.869292i | ||||
\(236\) | −2.02606 | + | 3.50924i | −0.131885 | + | 0.228432i | ||||
\(237\) | −12.7453 | + | 25.7375i | −0.827893 | + | 1.67183i | ||||
\(238\) | 5.10761 | − | 4.28580i | 0.331077 | − | 0.277807i | ||||
\(239\) | 19.1425 | + | 11.0519i | 1.23823 | + | 0.714891i | 0.968732 | − | 0.248111i | \(-0.0798099\pi\) |
0.269495 | + | 0.963002i | \(0.413143\pi\) | |||||||
\(240\) | 3.57068 | + | 1.50008i | 0.230486 | + | 0.0968300i | ||||
\(241\) | −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 | ||||
\(243\) | −9.65643 | − | 12.2374i | −0.619460 | − | 0.785028i | ||||
\(244\) | −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 | ||||||||
\(249\) | −0.183775 | + | 0.626647i | −0.0116463 | + | 0.0397122i | ||||
\(250\) | 5.47649 | − | 9.74721i | 0.346364 | − | 0.616468i | ||||
\(251\) | −22.8087 | + | 4.02179i | −1.43967 | + | 0.253853i | −0.838340 | − | 0.545147i | \(-0.816474\pi\) |
−0.601331 | + | 0.799000i | \(0.705363\pi\) | |||||||
\(252\) | 6.15215 | − | 4.68850i | 0.387549 | − | 0.295347i | ||||
\(253\) | −5.25884 | + | 14.4485i | −0.330621 | + | 0.908372i | ||||
\(254\) | −7.57345 | + | 4.37254i | −0.475201 | + | 0.274357i | ||||
\(255\) | 1.25737 | + | 9.93615i | 0.0787396 | + | 0.622226i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 4.65937 | + | 5.55282i | 0.290644 | + | 0.346375i | 0.891532 | − | 0.452957i | \(-0.149631\pi\) |
−0.600889 | + | 0.799333i | \(0.705187\pi\) | |||||||
\(258\) | 8.95575 | + | 0.995790i | 0.557561 | + | 0.0619952i | ||||
\(259\) | 14.0731 | − | 8.12510i | 0.874459 | − | 0.504869i | ||||
\(260\) | −0.801285 | + | 7.09534i | −0.0496936 | + | 0.440034i | ||||
\(261\) | −1.36510 | − | 1.79126i | −0.0844979 | − | 0.110876i | ||||
\(262\) | 1.27326 | + | 7.22099i | 0.0786620 | + | 0.446115i | ||||
\(263\) | −15.1819 | + | 5.52575i | −0.936154 | + | 0.340732i | −0.764646 | − | 0.644450i | \(-0.777086\pi\) |
−0.171508 | + | 0.985183i | \(0.554864\pi\) | |||||||
\(264\) | −1.48145 | + | 5.05156i | −0.0911772 | + | 0.310902i | ||||
\(265\) | −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 | 0.0265908 | − | 0.999646i | \(-0.491535\pi\) |
0.662930 | + | 0.748681i | \(0.269313\pi\) | |||||||
\(270\) | 0.916231 | + | 11.5828i | 0.0557601 | + | 0.704905i | ||||
\(271\) | −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 | ||||
\(273\) | 11.4866 | + | 8.45151i | 0.695198 | + | 0.511508i | ||||
\(274\) | 11.8132 | + | 6.82034i | 0.713660 | + | 0.412032i | ||||
\(275\) | 14.0004 | + | 5.91009i | 0.844258 | + | 0.356392i | ||||
\(276\) | 7.85225 | + | 3.88844i | 0.472650 | + | 0.234057i | ||||
\(277\) | −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 | ||||
\(279\) | −11.8842 | − | 23.0148i | −0.711491 | − | 1.37786i | ||||
\(280\) | −5.75426 | + | 0.357673i | −0.343883 | + | 0.0213751i | ||||
\(281\) | 2.78132 | + | 15.7736i | 0.165919 | + | 0.940976i | 0.948111 | + | 0.317938i | \(0.102990\pi\) |
−0.782192 | + | 0.623037i | \(0.785898\pi\) | |||||||
\(282\) | −10.8381 | + | 10.3409i | −0.645397 | + | 0.615793i | ||||
\(283\) | −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 | ||||||||
\(285\) | 13.4659 | − | 10.1818i | 0.797653 | − | 0.603116i | ||||
\(286\) | −9.70557 | −0.573902 | ||||||||
\(287\) | −0.429983 | + | 0.512434i | −0.0253811 | + | 0.0302480i | ||||
\(288\) | 2.76783 | + | 1.15720i | 0.163096 | + | 0.0681888i | ||||
\(289\) | −1.79080 | − | 10.1561i | −0.105341 | − | 0.597419i | ||||
\(290\) | 0.104140 | + | 1.67541i | 0.00611533 | + | 0.0983836i | ||||
\(291\) | −0.251044 | − | 3.92966i | −0.0147165 | − | 0.230361i | ||||
\(292\) | 8.51805 | − | 4.91790i | 0.498481 | − | 0.287798i | ||||
\(293\) | −4.22699 | − | 2.44046i | −0.246944 | − | 0.142573i | 0.371420 | − | 0.928465i | \(-0.378871\pi\) |
−0.618364 | + | 0.785892i | \(0.712204\pi\) | |||||||
\(294\) | 0.270650 | − | 0.546546i | 0.0157846 | − | 0.0318752i | ||||
\(295\) | 7.28894 | + | 5.38236i | 0.424379 | + | 0.313373i | ||||
\(296\) | 5.45818 | + | 3.15128i | 0.317250 | + | 0.183165i | ||||
\(297\) | −15.5046 | + | 3.00424i | −0.899666 | + | 0.174324i | ||||
\(298\) | 8.14212 | + | 2.96349i | 0.471661 | + | 0.171670i | ||||
\(299\) | −2.80523 | + | 15.9092i | −0.162230 | + | 0.920054i | ||||
\(300\) | 4.22908 | − | 7.55744i | 0.244166 | − | 0.436329i | ||||
\(301\) | −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 | ||||
\(306\) | 0.987189 | + | 7.69483i | 0.0564338 | + | 0.439884i | ||||
\(307\) | 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 | ||||
\(309\) | 31.7616 | − | 7.71642i | 1.80685 | − | 0.438972i | ||||
\(310\) | −2.16650 | + | 19.1843i | −0.123049 | + | 1.08959i | ||||
\(311\) | 21.6789 | − | 12.5163i | 1.22930 | − | 0.709736i | 0.262415 | − | 0.964955i | \(-0.415481\pi\) |
0.966883 | + | 0.255219i | \(0.0821477\pi\) | |||||||
\(312\) | −0.611221 | + | 5.49709i | −0.0346036 | + | 0.311211i | ||||
\(313\) | −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 | ||||
\(315\) | −8.87384 | − | 14.8462i | −0.499984 | − | 0.836489i | ||||
\(316\) | 14.3602 | − | 8.29087i | 0.807825 | − | 0.466398i | ||||
\(317\) | −5.30386 | + | 14.5722i | −0.297894 | + | 0.818458i | 0.696957 | + | 0.717113i | \(0.254537\pi\) |
−0.994851 | + | 0.101345i | \(0.967685\pi\) | |||||||
\(318\) | −7.40516 | + | 1.79907i | −0.415261 | + | 0.100887i | ||||
\(319\) | −2.24702 | + | 0.396210i | −0.125809 | + | 0.0221835i | ||||
\(320\) | −1.23602 | − | 1.86340i | −0.0690955 | − | 0.104167i | ||||
\(321\) | −8.10982 | − | 2.37834i | −0.452646 | − | 0.132746i | ||||
\(322\) | −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 | ||||
\(327\) | 9.06496 | + | 13.6153i | 0.501293 | + | 0.752928i | ||||
\(328\) | −0.255502 | − | 0.0450518i | −0.0141077 | − | 0.00248757i | ||||
\(329\) | 7.62680 | − | 20.9545i | 0.420479 | − | 1.15526i | ||||
\(330\) | 10.8525 | + | 4.55928i | 0.597413 | + | 0.250980i | ||||
\(331\) | −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 | ||||
\(333\) | −0.887151 | + | 18.8869i | −0.0486156 | + | 1.03499i | ||||
\(334\) | −7.28977 | + | 12.6263i | −0.398879 | + | 0.690878i | ||||
\(335\) | −19.9446 | + | 18.9643i | −1.08969 | + | 1.03613i | ||||
\(336\) | −4.45675 | + | 0.284717i | −0.243135 | + | 0.0155326i | ||||
\(337\) | 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 | ||||
\(339\) | −18.9210 | + | 18.0531i | −1.02765 | + | 0.980508i | ||||
\(340\) | 2.57496 | − | 5.17742i | 0.139647 | − | 0.280785i | ||||
\(341\) | −26.2418 | −1.42107 | ||||||||
\(342\) | 10.4171 | − | 7.90470i | 0.563292 | − | 0.427437i | ||||
\(343\) | 18.9563i | 1.02355i | ||||||||
\(344\) | −3.98532 | − | 3.34408i | −0.214874 | − | 0.180301i | ||||
\(345\) | 10.6102 | − | 16.4716i | 0.571236 | − | 0.886799i | ||||
\(346\) | 1.48107 | + | 8.39959i | 0.0796230 | + | 0.451565i | ||||
\(347\) | 4.49271 | − | 25.4794i | 0.241181 | − | 1.36781i | −0.588015 | − | 0.808850i | \(-0.700090\pi\) |
0.829196 | − | 0.558957i | \(-0.188798\pi\) | |||||||
\(348\) | 0.0828983 | + | 1.29763i | 0.00444382 | + | 0.0695602i | ||||
\(349\) | 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 | ||||
\(351\) | −15.4943 | + | 5.93717i | −0.827026 | + | 0.316903i | ||||
\(352\) | 2.32828 | − | 1.95366i | 0.124098 | − | 0.104130i | ||||
\(353\) | 8.56038 | − | 14.8270i | 0.455623 | − | 0.789162i | −0.543101 | − | 0.839668i | \(-0.682750\pi\) |
0.998724 | + | 0.0505053i | \(0.0160832\pi\) | |||||||
\(354\) | 5.65315 | + | 4.15944i | 0.300462 | + | 0.221072i | ||||
\(355\) | 1.14566 | − | 10.1448i | 0.0608054 | − | 0.538428i | ||||
\(356\) | −2.27187 | + | 12.8844i | −0.120409 | + | 0.682872i | ||||
\(357\) | −6.40012 | − | 9.61279i | −0.338730 | − | 0.508763i | ||||
\(358\) | 6.31934 | + | 17.3623i | 0.333988 | + | 0.917624i | ||||
\(359\) | −15.1331 | + | 18.0349i | −0.798693 | + | 0.951845i | −0.999615 | − | 0.0277621i | \(-0.991162\pi\) |
0.200922 | + | 0.979607i | \(0.435606\pi\) | |||||||
\(360\) | 3.26576 | − | 5.85959i | 0.172121 | − | 0.308828i | ||||
\(361\) | −17.8271 | − | 6.57232i | −0.938267 | − | 0.345912i | ||||
\(362\) | −2.19802 | −0.115525 | ||||||||
\(363\) | 0.859009 | − | 2.92910i | 0.0450863 | − | 0.153738i | ||||
\(364\) | −2.81600 | − | 7.73691i | −0.147599 | − | 0.405524i | ||||
\(365\) | −8.78989 | − | 20.1607i | −0.460084 | − | 1.05526i | ||||
\(366\) | 4.15639 | + | 17.1081i | 0.217258 | + | 0.894257i | ||||
\(367\) | 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 | ||||
\(369\) | −0.231594 | − | 0.743075i | −0.0120563 | − | 0.0386829i | ||||
\(370\) | 8.37157 | − | 11.3370i | 0.435217 | − | 0.589384i | ||||
\(371\) | 8.69005 | − | 7.29182i | 0.451165 | − | 0.378573i | ||||
\(372\) | −1.65261 | + | 14.8629i | −0.0856839 | + | 0.770608i | ||||
\(373\) | −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 | ||||
\(375\) | −15.7310 | − | 11.2931i | −0.812346 | − | 0.583176i | ||||
\(376\) | 8.51727 | − | 1.50182i | 0.439245 | − | 0.0774507i | ||||
\(377\) | −2.25268 | + | 0.819909i | −0.116019 | + | 0.0422275i | ||||
\(378\) | −6.89341 | − | 11.4880i | −0.354559 | − | 0.590878i | ||||
\(379\) | 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 | \(0.0683715\pi\) |
−0.611432 | + | 0.791297i | \(0.709406\pi\) | |||||||
\(384\) | −0.959895 | − | 1.44174i | −0.0489845 | − | 0.0735733i | ||||
\(385\) | −17.4892 | + | 1.08709i | −0.891333 | + | 0.0554035i | ||||
\(386\) | 1.10158 | − | 3.02656i | 0.0560688 | − | 0.154048i | ||||
\(387\) | 3.42839 | − | 15.2262i | 0.174275 | − | 0.773992i | ||||
\(388\) | −1.13671 | + | 1.96883i | −0.0577075 | + | 0.0999524i | ||||
\(389\) | 22.7618 | + | 27.1264i | 1.15407 | + | 1.37536i | 0.914550 | + | 0.404472i | \(0.132545\pi\) |
0.239517 | + | 0.970892i | \(0.423011\pi\) | |||||||
\(390\) | 12.0608 | + | 2.73747i | 0.610725 | + | 0.138617i | ||||
\(391\) | 6.54109 | − | 11.3295i | 0.330797 | − | 0.572957i | ||||
\(392\) | −0.304944 | + | 0.176060i | −0.0154020 | + | 0.00889236i | ||||
\(393\) | 12.6742 | − | 0.809687i | 0.639331 | − | 0.0408433i | ||||
\(394\) | −3.16292 | − | 0.557708i | −0.159346 | − | 0.0280969i | ||||
\(395\) | −14.8185 | − | 33.9880i | −0.745599 | − | 1.71012i | ||||
\(396\) | 8.41241 | + | 3.51714i | 0.422739 | + | 0.176743i | ||||
\(397\) | −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 | ||||||
\(399\) | −8.67460 | + | 17.4264i | −0.434273 | + | 0.872413i | ||||
\(400\) | −4.45052 | + | 2.27878i | −0.222526 | + | 0.113939i | ||||
\(401\) | −6.54292 | − | 5.49016i | −0.326738 | − | 0.274165i | 0.464631 | − | 0.885504i | \(-0.346187\pi\) |
−0.791369 | + | 0.611339i | \(0.790631\pi\) | |||||||
\(402\) | −15.4237 | + | 14.7162i | −0.769265 | + | 0.733979i | ||||
\(403\) | −27.1521 | + | 4.78765i | −1.35254 | + | 0.238490i | ||||
\(404\) | −17.4085 | − | 3.06958i | −0.866104 | − | 0.152718i | ||||
\(405\) | 20.1144 | + | 0.639785i | 0.999495 | + | 0.0317912i | ||||
\(406\) | −0.967800 | − | 1.67628i | −0.0480311 | − | 0.0831923i | ||||
\(407\) | 16.5893 | + | 9.57785i | 0.822302 | + | 0.474756i | ||||
\(408\) | 1.98765 | − | 4.01383i | 0.0984035 | − | 0.198714i | ||||
\(409\) | −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 | ||||
\(411\) | 14.0020 | − | 19.0302i | 0.690665 | − | 0.938693i | ||||
\(412\) | −17.7329 | − | 6.45425i | −0.873638 | − | 0.317978i | ||||
\(413\) | −10.2891 | − | 1.81424i | −0.506291 | − | 0.0892728i | ||||
\(414\) | 8.19671 | − | 12.7729i | 0.402846 | − | 0.627755i | ||||
\(415\) | −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 | \(0.00100977\pi\) | ||||
−0.999995 | + | 0.00317227i | \(0.998990\pi\) | |||||||
\(420\) | −0.485692 | + | 9.97408i | −0.0236993 | + | 0.486685i | ||||
\(421\) | 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 | ||||
\(423\) | 15.7268 | + | 20.6364i | 0.764664 | + | 1.00338i | ||||
\(424\) | 4.13440 | + | 1.50480i | 0.200784 | + | 0.0730795i | ||||
\(425\) | −10.8578 | − | 7.02056i | −0.526681 | − | 0.340547i | ||||
\(426\) | 0.873911 | − | 7.85962i | 0.0423411 | − | 0.380800i | ||||
\(427\) | −16.8463 | − | 20.0766i | −0.815249 | − | 0.971576i | ||||
\(428\) | 3.13642 | + | 3.73784i | 0.151605 | + | 0.180675i | ||||
\(429\) | −1.85772 | + | 16.7076i | −0.0896913 | + | 0.806649i | ||||
\(430\) | −8.43039 | + | 8.01605i | −0.406550 | + | 0.386568i | ||||
\(431\) | −19.7834 | − | 7.20058i | −0.952934 | − | 0.346840i | −0.181673 | − | 0.983359i | \(-0.558151\pi\) |
−0.771261 | + | 0.636519i | \(0.780373\pi\) | |||||||
\(432\) | 2.52184 | − | 4.54316i | 0.121332 | − | 0.218583i | ||||
\(433\) | 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 | ||||
\(435\) | 2.90406 | + | 0.141414i | 0.139239 | + | 0.00678030i | ||||
\(436\) | − | 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 | ||||
\(441\) | −0.889043 | − | 0.570521i | −0.0423354 | − | 0.0271677i | ||||
\(442\) | 8.13231 | + | 1.43395i | 0.386815 | + | 0.0682059i | ||||
\(443\) | 34.9513 | + | 12.7212i | 1.66058 | + | 0.604404i | 0.990455 | − | 0.137840i | \(-0.0440159\pi\) |
0.670130 | + | 0.742243i | \(0.266238\pi\) | |||||||
\(444\) | 6.46948 | − | 8.79276i | 0.307028 | − | 0.417286i | ||||
\(445\) | 28.0584 | + | 8.28101i | 1.33009 | + | 0.392558i | ||||
\(446\) | 9.67956 | + | 11.5356i | 0.458340 | + | 0.546229i | ||||
\(447\) | 6.65994 | − | 13.4490i | 0.315004 | − | 0.636114i | ||||
\(448\) | 2.23292 | + | 1.28917i | 0.105495 | + | 0.0609078i | ||||
\(449\) | 4.62800 | + | 8.01594i | 0.218409 | + | 0.378295i | 0.954322 | − | 0.298781i | \(-0.0965800\pi\) |
−0.735913 | + | 0.677076i | \(0.763247\pi\) | |||||||
\(450\) | −12.2002 | − | 8.72667i | −0.575124 | − | 0.411379i | ||||
\(451\) | −0.776559 | − | 0.136928i | −0.0365667 | − | 0.00644770i | ||||
\(452\) | 14.8694 | − | 2.62187i | 0.699396 | − | 0.123322i | ||||
\(453\) | 26.1486 | − | 24.9492i | 1.22857 | − | 1.17222i | ||||
\(454\) | 9.22994 | + | 7.74484i | 0.433182 | + | 0.363483i | ||||
\(455\) | −17.8976 | + | 4.31561i | −0.839052 | + | 0.202319i | ||||
\(456\) | −7.53546 | + | 0.465721i | −0.352880 | + | 0.0218094i | ||||
\(457\) | 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 | ||||
\(459\) | 13.4352 | − | 0.226544i | 0.627099 | − | 0.0105742i | ||||
\(460\) | −10.3694 | + | 4.52097i | −0.483475 | + | 0.210791i | ||||
\(461\) | −23.7668 | − | 4.19072i | −1.10693 | − | 0.195181i | −0.409834 | − | 0.912160i | \(-0.634413\pi\) |
−0.697095 | + | 0.716979i | \(0.745524\pi\) | |||||||
\(462\) | −13.5456 | + | 0.865355i | −0.630199 | + | 0.0402599i | ||||
\(463\) | −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 | ||||
\(465\) | 32.6099 | + | 7.40152i | 1.51225 | + | 0.343237i | ||||
\(466\) | 2.98388 | + | 3.55605i | 0.138226 | + | 0.164731i | ||||
\(467\) | 14.9856 | − | 25.9559i | 0.693452 | − | 1.20109i | −0.277247 | − | 0.960799i | \(-0.589422\pi\) |
0.970700 | − | 0.240296i | \(-0.0772446\pi\) | |||||||
\(468\) | 9.34592 | + | 2.10436i | 0.432015 | + | 0.0972742i | ||||
\(469\) | 10.8538 | − | 29.8204i | 0.501180 | − | 1.37698i | ||||
\(470\) | −1.19976 | − | 19.3017i | −0.0553407 | − | 0.890323i | ||||
\(471\) | −11.7724 | − | 17.6819i | −0.542445 | − | 0.814738i | ||||
\(472\) | −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 | ||||||||
\(477\) | 1.67960 | + | 13.0919i | 0.0769034 | + | 0.599438i | ||||
\(478\) | −20.7709 | + | 7.55997i | −0.950037 | + | 0.345785i | ||||
\(479\) | −14.8496 | + | 2.61838i | −0.678495 | + | 0.119637i | −0.502267 | − | 0.864712i | \(-0.667501\pi\) |
−0.176228 | + | 0.984349i | \(0.556390\pi\) | |||||||
\(480\) | −3.44432 | + | 1.77106i | −0.157211 | + | 0.0808376i | ||||
\(481\) | 18.9122 | + | 6.88349i | 0.862324 | + | 0.313860i | ||||
\(482\) | −8.91259 | − | 15.4371i | −0.405957 | − | 0.703139i | ||||
\(483\) | −2.49665 | + | 22.4539i | −0.113601 | + | 1.02169i | ||||
\(484\) | −1.35003 | + | 1.13281i | −0.0613651 | + | 0.0514914i | ||||
\(485\) | 4.08941 | + | 3.01973i | 0.185690 | + | 0.137119i | ||||
\(486\) | 15.5814 | + | 0.468782i | 0.706787 | + | 0.0212644i | ||||
\(487\) | 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 | ||||
\(489\) | −6.04056 | − | 24.8636i | −0.273163 | − | 1.12437i | ||||
\(490\) | 0.314676 | + | 0.721747i | 0.0142156 | + | 0.0326052i | ||||
\(491\) | 5.34417 | + | 14.6830i | 0.241179 | + | 0.662634i | 0.999937 | + | 0.0112608i | \(0.00358449\pi\) |
−0.758758 | + | 0.651373i | \(0.774193\pi\) | |||||||
\(492\) | −0.126459 | + | 0.431208i | −0.00570121 | + | 0.0194404i | ||||
\(493\) | 1.94132 | 0.0874325 | ||||||||
\(494\) | −4.73356 | − | 13.0897i | −0.212973 | − | 0.588933i | ||||
\(495\) | 9.92579 | − | 17.8094i | 0.446131 | − | 0.800471i | ||||
\(496\) | 5.54983 | − | 6.61403i | 0.249195 | − | 0.296979i | ||||
\(497\) | 4.02626 | + | 11.0621i | 0.180603 | + | 0.496202i | ||||
\(498\) | −0.361911 | − | 0.543581i | −0.0162176 | − | 0.0243584i | ||||
\(499\) | 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 | ||||
\(501\) | 20.3401 | + | 14.9657i | 0.908727 | + | 0.668617i | ||||
\(502\) | 11.5803 | − | 20.0576i | 0.516853 | − | 0.895215i | ||||
\(503\) | −13.5745 | + | 11.3904i | −0.605259 | + | 0.507872i | −0.893131 | − | 0.449796i | \(-0.851497\pi\) |
0.287872 | + | 0.957669i | \(0.407052\pi\) | |||||||
\(504\) | −0.362929 | + | 7.72653i | −0.0161662 | + | 0.344167i | ||||
\(505\) | −11.1887 | + | 37.9104i | −0.497891 | + | 1.68699i | ||||
\(506\) | −7.68791 | − | 13.3159i | −0.341769 | − | 0.591962i | ||||
\(507\) | −0.309504 | − | 4.84475i | −0.0137456 | − | 0.215163i | ||||
\(508\) | 1.51857 | − | 8.61221i | 0.0673755 | − | 0.382105i | ||||
\(509\) | −6.74016 | − | 38.2254i | −0.298753 | − | 1.69431i | −0.651547 | − | 0.758609i | \(-0.725879\pi\) |
0.352794 | − | 0.935701i | \(-0.385232\pi\) | |||||||
\(510\) | −8.41976 | − | 5.42363i | −0.372833 | − | 0.240163i | ||||
\(511\) | 19.4270 | + | 16.3012i | 0.859399 | + | 0.721121i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −11.6136 | − | 19.4454i | −0.512752 | − | 0.858537i | ||||
\(514\) | −7.24869 | −0.319726 | ||||||||
\(515\) | −18.7907 | + | 37.7820i | −0.828015 | + | 1.66487i | ||||
\(516\) | −6.51947 | + | 6.22042i | −0.287003 | + | 0.273839i | ||||
\(517\) | 25.8870 | − | 4.56457i | 1.13851 | − | 0.200750i | ||||
\(518\) | −2.82182 | + | 16.0033i | −0.123984 | + | 0.703146i | ||||
\(519\) | 14.7429 | − | 0.941842i | 0.647141 | − | 0.0413423i | ||||
\(520\) | −4.92029 | − | 5.17462i | −0.215769 | − | 0.226922i | ||||
\(521\) | 10.3124 | − | 17.8616i | 0.451794 | − | 0.782530i | −0.546703 | − | 0.837326i | \(-0.684118\pi\) |
0.998498 | + | 0.0547960i | \(0.0174508\pi\) | |||||||
\(522\) | 2.24966 | + | 0.105671i | 0.0984649 | + | 0.00462508i | ||||
\(523\) | 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 | ||||
\(525\) | 22.0400 | + | 3.58195i | 0.961904 | + | 0.156329i | ||||
\(526\) | 5.52575 | − | 15.1819i | 0.240934 | − | 0.661961i | ||||
\(527\) | 21.9880 | + | 3.87708i | 0.957814 | + | 0.168888i | ||||
\(528\) | −2.91746 | − | 4.38194i | −0.126966 | − | 0.190699i | ||||
\(529\) | −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 | ||||||||
\(534\) | 21.7449 | + | 6.37706i | 0.940995 | + | 0.275962i | ||||
\(535\) | 9.09228 | − | 6.03102i | 0.393094 | − | 0.260744i | ||||
\(536\) | 12.1210 | − | 2.13726i | 0.523547 | − | 0.0923155i | ||||
\(537\) | 31.0977 | − | 7.55513i | 1.34196 | − | 0.326028i | ||||
\(538\) | −4.11613 | + | 11.3090i | −0.177459 | + | 0.487565i | ||||
\(539\) | −0.926833 | + | 0.535107i | −0.0399215 | + | 0.0230487i | ||||
\(540\) | −9.46186 | − | 6.74339i | −0.407174 | − | 0.290189i | ||||
\(541\) | −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 | ||||
\(543\) | −0.420717 | + | 3.78376i | −0.0180547 | + | 0.162377i | ||||
\(544\) | −2.23951 | + | 1.29298i | −0.0960182 | + | 0.0554361i | ||||
\(545\) | −20.9834 | − | 2.36968i | −0.898828 | − | 0.101506i | ||||
\(546\) | −13.8576 | + | 3.36669i | −0.593053 | + | 0.144081i | ||||
\(547\) | 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 | ||||
\(549\) | 30.2462 | − | 3.88037i | 1.29088 | − | 0.165610i | ||||
\(550\) | −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 | ||||
\(555\) | −17.9137 | − | 16.5812i | −0.760393 | − | 0.703832i | ||||
\(556\) | 0.668550 | − | 3.79154i | 0.0283528 | − | 0.160797i | ||||
\(557\) | −7.80737 | − | 2.84165i | −0.330809 | − | 0.120405i | 0.171276 | − | 0.985223i | \(-0.445211\pi\) |
−0.502085 | + | 0.864819i | \(0.667433\pi\) | |||||||
\(558\) | 25.2694 | + | 5.68975i | 1.06974 | + | 0.240866i | ||||
\(559\) | −14.3873 | − | 8.30653i | −0.608519 | − | 0.351329i | ||||
\(560\) | 3.42477 | − | 4.63792i | 0.144723 | − | 0.195988i | ||||
\(561\) | 6.04118 | − | 12.1995i | 0.255059 | − | 0.515061i | ||||
\(562\) | −13.8711 | − | 8.00848i | −0.585117 | − | 0.337817i | ||||
\(563\) | 13.7591 | − | 7.94379i | 0.579875 | − | 0.334791i | −0.181209 | − | 0.983445i | \(-0.558001\pi\) |
0.761084 | + | 0.648654i | \(0.224668\pi\) | |||||||
\(564\) | −0.955038 | − | 14.9495i | −0.0402144 | − | 0.629485i | ||||
\(565\) | −2.09453 | − | 33.6968i | −0.0881173 | − | 1.41763i | ||||
\(566\) | −3.28382 | − | 18.6234i | −0.138029 | − | 0.782802i | ||||
\(567\) | −21.0953 | + | 9.66772i | −0.885921 | + | 0.406006i | ||||
\(568\) | −2.93479 | + | 3.49754i | −0.123141 | + | 0.146754i | ||||
\(569\) | −35.5477 | −1.49024 | −0.745119 | − | 0.666932i | \(-0.767607\pi\) | ||||
−0.745119 | + | 0.666932i | \(0.767607\pi\) | |||||||
\(570\) | −0.856041 | + | 16.8602i | −0.0358556 | + | 0.706197i | ||||
\(571\) | −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 | ||||
\(573\) | −2.24206 | + | 2.13922i | −0.0936633 | + | 0.0893670i | ||||
\(574\) | −0.116159 | − | 0.658772i | −0.00484840 | − | 0.0274966i | ||||
\(575\) | 7.44338 | + | 24.1746i | 0.310410 | + | 1.00815i | ||||
\(576\) | −2.66559 | + | 1.37645i | −0.111066 | + | 0.0573519i | ||||
\(577\) | −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 | ||||
\(579\) | −4.99920 | − | 2.47561i | −0.207759 | − | 0.102883i | ||||
\(580\) | −1.35038 | − | 0.997158i | −0.0560715 | − | 0.0414047i | ||||
\(581\) | 0.841881 | + | 0.486060i | 0.0349271 | + | 0.0201652i | ||||
\(582\) | 3.17166 | + | 2.33362i | 0.131470 | + | 0.0967318i | ||||
\(583\) | 12.5659 | + | 4.57361i | 0.520427 | + | 0.189420i | ||||
\(584\) | −1.70797 | + | 9.68637i | −0.0706762 | + | 0.400825i | ||||
\(585\) | 7.02092 | − | 20.2381i | 0.290279 | − | 0.836742i | ||||
\(586\) | 4.58656 | − | 1.66937i | 0.189469 | − | 0.0689610i | ||||
\(587\) | 22.3590 | + | 18.7615i | 0.922857 | + | 0.774369i | 0.974521 | − | 0.224296i | \(-0.0720082\pi\) |
−0.0516644 | + | 0.998665i | \(0.516453\pi\) | |||||||
\(588\) | 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 | ||||
\(591\) | −1.56547 | + | 5.33803i | −0.0643947 | + | 0.219577i | ||||
\(592\) | −5.92247 | + | 2.15560i | −0.243412 | + | 0.0885948i | ||||
\(593\) | 4.43465 | + | 25.1502i | 0.182109 | + | 1.03279i | 0.929613 | + | 0.368536i | \(0.120141\pi\) |
−0.747504 | + | 0.664257i | \(0.768748\pi\) | |||||||
\(594\) | 7.66475 | − | 13.8083i | 0.314489 | − | 0.566560i | ||||
\(595\) | 14.8148 | + | 1.67306i | 0.607350 | + | 0.0685887i | ||||
\(596\) | −7.50382 | + | 4.33233i | −0.307368 | + | 0.177459i | ||||
\(597\) | −5.69788 | − | 0.633547i | −0.233199 | − | 0.0259293i | ||||
\(598\) | −10.3840 | − | 12.3752i | −0.424634 | − | 0.506059i | ||||
\(599\) | 25.1675 | − | 21.1180i | 1.02831 | − | 0.862858i | 0.0376649 | − | 0.999290i | \(-0.488008\pi\) |
0.990649 | + | 0.136432i | \(0.0435636\pi\) | |||||||
\(600\) | 3.07093 | + | 8.09749i | 0.125370 | + | 0.330579i | ||||
\(601\) | −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 | ||||
\(603\) | 22.3810 | + | 29.3678i | 0.911423 | + | 1.19595i | ||||
\(604\) | −20.5493 | + | 3.62340i | −0.836141 | + | 0.147434i | ||||
\(605\) | 2.17828 | + | 3.28395i | 0.0885599 | + | 0.133512i | ||||
\(606\) | −8.61622 | + | 29.3801i | −0.350010 | + | 1.19349i | ||||
\(607\) | 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 | ||||
\(612\) | −6.52913 | − | 4.18991i | −0.263924 | − | 0.169367i | ||||
\(613\) | 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 | ||||
\(615\) | 0.926388 | + | 0.389186i | 0.0373556 | + | 0.0156935i | ||||
\(616\) | 6.78661 | + | 3.91825i | 0.273440 | + | 0.157871i | ||||
\(617\) | −15.1487 | + | 12.7112i | −0.609862 | + | 0.511735i | −0.894599 | − | 0.446871i | \(-0.852538\pi\) |
0.284736 | + | 0.958606i | \(0.408094\pi\) | |||||||
\(618\) | −14.5048 | + | 29.2908i | −0.583470 | + | 1.17825i | ||||
\(619\) | 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 | ||||
\(621\) | −20.4189 | − | 16.5550i | −0.819384 | − | 0.664329i | ||||
\(622\) | −4.34687 | + | 24.6523i | −0.174294 | + | 0.988469i | ||||
\(623\) | −33.2205 | + | 5.85767i | −1.33095 | + | 0.234683i | ||||
\(624\) | −3.81813 | − | 4.00168i | −0.152847 | − | 0.160195i | ||||
\(625\) | 24.2332 | − | 6.14422i | 0.969329 | − | 0.245769i | ||||
\(626\) | 0.699529 | 0.0279588 | ||||||||
\(627\) | −22.9029 | + | 1.41549i | −0.914654 | + | 0.0565293i | ||||
\(628\) | 12.2643i | 0.489399i | ||||||||
\(629\) | −12.4851 | − | 10.4763i | −0.497815 | − | 0.417717i | ||||
\(630\) | 17.0768 | + | 2.74520i | 0.680358 | + | 0.109371i | ||||
\(631\) | 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 | ||||
\(633\) | −4.44062 | + | 0.283687i | −0.176499 | + | 0.0112755i | ||||
\(634\) | −7.75372 | − | 13.4298i | −0.307940 | − | 0.533367i | ||||
\(635\) | −18.7548 | − | 5.53520i | −0.744262 | − | 0.219658i | ||||
\(636\) | 3.38178 | − | 6.82911i | 0.134096 | − | 0.270792i | ||||
\(637\) | −0.861358 | + | 0.722766i | −0.0341283 | + | 0.0286370i | ||||
\(638\) | 1.14084 | − | 1.97599i | 0.0451663 | − | 0.0782304i | ||||
\(639\) | −13.3626 | − | 3.00877i | −0.528616 | − | 0.119025i | ||||
\(640\) | 2.22194 | + | 0.250927i | 0.0878301 | + | 0.00991875i | ||||
\(641\) | −4.47239 | + | 25.3642i | −0.176649 | + | 1.00182i | 0.759575 | + | 0.650420i | \(0.225407\pi\) |
−0.936224 | + | 0.351405i | \(0.885704\pi\) | |||||||
\(642\) | 7.03481 | − | 4.68372i | 0.277642 | − | 0.184852i | ||||
\(643\) | 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 | ||||
\(645\) | 12.1855 | + | 16.0468i | 0.479804 | + | 0.631841i | ||||
\(646\) | −0.0233587 | + | 11.2719i | −0.000919037 | + | 0.443488i | ||||
\(647\) | −15.5424 | −0.611035 | −0.305518 | − | 0.952186i | \(-0.598830\pi\) | ||||
−0.305518 | + | 0.952186i | \(0.598830\pi\) | |||||||
\(648\) | −7.33809 | − | 5.21079i | −0.288268 | − | 0.204699i | ||||
\(649\) | −4.21226 | − | 11.5731i | −0.165346 | − | 0.454283i | ||||
\(650\) | −12.7323 | + | 9.63416i | −0.499404 | + | 0.377883i | ||||
\(651\) | −37.4681 | + | 9.10281i | −1.46849 | + | 0.356767i | ||||
\(652\) | −5.05251 | + | 13.8817i | −0.197872 | + | 0.543648i | ||||
\(653\) | 6.62802 | + | 11.4801i | 0.259375 | + | 0.449250i | 0.966075 | − | 0.258263i | \(-0.0831503\pi\) |
−0.706700 | + | 0.707513i | \(0.749817\pi\) | |||||||
\(654\) | −16.2568 | − | 1.80759i | −0.635690 | − | 0.0706824i | ||||
\(655\) | −9.73948 | + | 13.1895i | −0.380553 | + | 0.515356i | ||||
\(656\) | 0.198745 | − | 0.166767i | 0.00775969 | − | 0.00651115i | ||||
\(657\) | −28.1709 | + | 8.78001i | −1.09905 | + | 0.342541i | ||||
\(658\) | 11.1496 | + | 19.3117i | 0.434658 | + | 0.752850i | ||||
\(659\) | 31.9611 | + | 11.6329i | 1.24503 | + | 0.453153i | 0.878719 | − | 0.477340i | \(-0.158399\pi\) |
0.366309 | + | 0.930493i | \(0.380621\pi\) | |||||||
\(660\) | −10.4685 | + | 5.38289i | −0.407486 | + | 0.209529i | ||||
\(661\) | 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 | ||||
\(663\) | 4.02504 | − | 13.7248i | 0.156320 | − | 0.533029i | ||||
\(664\) | 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 | ||||
\(669\) | 21.7107 | − | 14.4548i | 0.839384 | − | 0.558855i | ||||
\(670\) | −1.70739 | − | 27.4685i | −0.0659620 | − | 1.06120i | ||||
\(671\) | 10.5664 | − | 29.0310i | 0.407912 | − | 1.12073i | ||||
\(672\) | 2.64663 | − | 3.59708i | 0.102096 | − | 0.138760i | ||||
\(673\) | 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 | ||||
\(675\) | −17.3577 | + | 19.3316i | −0.668097 | + | 0.744074i | ||||
\(676\) | −1.40141 | + | 2.42731i | −0.0539003 | + | 0.0933581i | ||||
\(677\) | 40.5615 | − | 23.4182i | 1.55891 | − | 0.900035i | 0.561545 | − | 0.827447i | \(-0.310207\pi\) |
0.997362 | − | 0.0725886i | \(-0.0231260\pi\) | |||||||
\(678\) | −1.66729 | − | 26.0986i | −0.0640321 | − | 1.00231i | ||||
\(679\) | −5.77260 | − | 1.01787i | −0.221532 | − | 0.0390621i | ||||
\(680\) | 2.31098 | + | 5.30051i | 0.0886221 | + | 0.203265i | ||||
\(681\) | 15.0990 | − | 14.4064i | 0.578594 | − | 0.552054i | ||||
\(682\) | 16.8679 | − | 20.1024i | 0.645905 | − | 0.769759i | ||||
\(683\) | − | 33.4053i | − | 1.27822i | −0.769116 | − | 0.639110i | \(-0.779303\pi\) | ||
0.769116 | − | 0.639110i | \(-0.220697\pi\) | |||||||
\(684\) | −0.640628 | + | 13.0610i | −0.0244950 | + | 0.499400i | ||||
\(685\) | 7.14984 | + | 29.6517i | 0.273181 | + | 1.13293i | ||||
\(686\) | −14.5214 | − | 12.1849i | −0.554429 | − | 0.465221i | ||||
\(687\) | −17.0706 | − | 17.8912i | −0.651282 | − | 0.682592i | ||||
\(688\) | 5.12343 | − | 0.903399i | 0.195329 | − | 0.0344418i | ||||
\(689\) | 13.8363 | + | 2.43970i | 0.527119 | + | 0.0929453i | ||||
\(690\) | 5.79781 | + | 18.7156i | 0.220719 | + | 0.712492i | ||||
\(691\) | 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 | ||||
\(693\) | −1.10307 | + | 23.4836i | −0.0419021 | + | 0.892069i | ||||
\(694\) | 16.6305 | + | 19.8195i | 0.631286 | + | 0.752337i | ||||
\(695\) | −8.25682 | − | 2.43688i | −0.313199 | − | 0.0924361i | ||||
\(696\) | −1.04733 | − | 0.770596i | −0.0396988 | − | 0.0292093i | ||||
\(697\) | 0.630450 | + | 0.229465i | 0.0238800 | + | 0.00869160i | ||||
\(698\) | −5.07703 | − | 0.895217i | −0.192168 | − | 0.0338845i | ||||
\(699\) | 6.69267 | − | 4.45592i | 0.253140 | − | 0.168538i | ||||
\(700\) | −9.44584 | − | 8.77343i | −0.357019 | − | 0.331605i | ||||
\(701\) | −5.16255 | + | 6.15249i | −0.194987 | + | 0.232376i | −0.854675 | − | 0.519163i | \(-0.826244\pi\) |
0.659688 | + | 0.751539i | \(0.270688\pi\) | |||||||
\(702\) | 5.41142 | − | 15.6857i | 0.204241 | − | 0.592018i | ||||
\(703\) | −4.82656 | + | 27.0449i | −0.182037 | + | 1.02002i | ||||
\(704\) | 3.03935i | 0.114550i | ||||||||
\(705\) | −33.4565 | − | 1.62918i | −1.26004 | − | 0.0613584i | ||||
\(706\) | 5.85564 | + | 16.0882i | 0.220380 | + | 0.605489i | ||||
\(707\) | −7.91446 | − | 44.8851i | −0.297654 | − | 1.68808i | ||||
\(708\) | −6.82009 | + | 1.65693i | −0.256315 | + | 0.0622712i | ||||
\(709\) | 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 | ||||
\(711\) | −47.4920 | + | 14.8018i | −1.78109 | + | 0.555112i | ||||
\(712\) | −8.40970 | − | 10.0223i | −0.315167 | − | 0.375601i | ||||
\(713\) | −28.0761 | − | 33.4598i | −1.05146 | − | 1.25308i | ||||
\(714\) | 11.4777 | + | 1.27621i | 0.429544 | + | 0.0477610i | ||||
\(715\) | −14.9545 | − | 15.7275i | −0.559266 | − | 0.588174i | ||||
\(716\) | −17.3623 | − | 6.31934i | −0.648858 | − | 0.236165i | ||||
\(717\) | 9.03836 | + | 37.2029i | 0.337544 | + | 1.38937i | ||||
\(718\) | −4.08818 | − | 23.1852i | −0.152569 | − | 0.865264i | ||||
\(719\) | 8.72890 | + | 23.9825i | 0.325533 | + | 0.894395i | 0.989227 | + | 0.146390i | \(0.0467656\pi\) |
−0.663694 | + | 0.748004i | \(0.731012\pi\) | |||||||
\(720\) | 2.38952 | + | 6.26819i | 0.0890520 | + | 0.233602i | ||||
\(721\) | − | 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 | ||||
\(726\) | 1.69166 | + | 2.54083i | 0.0627835 | + | 0.0942991i | ||||
\(727\) | 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 | ||||
\(729\) | 3.78937 | − | 26.7328i | 0.140347 | − | 0.990102i | ||||
\(730\) | 21.0940 | + | 6.22558i | 0.780724 | + | 0.230419i | ||||
\(731\) | 8.64768 | + | 10.3059i | 0.319846 | + | 0.381178i | ||||
\(732\) | −15.7773 | − | 7.81292i | −0.583145 | − | 0.288774i | ||||
\(733\) | −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 | ||||
\(735\) | 1.30268 | − | 0.403549i | 0.0480500 | − | 0.0148851i | ||||
\(736\) | 4.98206 | + | 0.878472i | 0.183641 | + | 0.0323809i | ||||
\(737\) | 36.8400 | − | 6.49588i | 1.35702 | − | 0.239279i | ||||
\(738\) | 0.718094 | + | 0.300228i | 0.0264334 | + | 0.0110515i | ||||
\(739\) | −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 | ||||
\(741\) | −23.4392 | + | 5.64309i | −0.861060 | + | 0.207304i | ||||
\(742\) | 11.3441i | 0.416454i | ||||||||
\(743\) | −12.7757 | + | 15.2255i | −0.468696 | + | 0.558570i | −0.947667 | − | 0.319261i | \(-0.896565\pi\) |
0.478971 | + | 0.877831i | \(0.341010\pi\) | |||||||
\(744\) | −10.3234 | − | 10.8197i | −0.378474 | − | 0.396669i | ||||
\(745\) | 7.74329 | + | 17.7602i | 0.283692 | + | 0.650682i | ||||
\(746\) | 11.5993 | + | 2.04527i | 0.424681 | + | 0.0748827i | ||||
\(747\) | −1.00502 | + | 0.518964i | −0.0367716 | + | 0.0189879i | ||||
\(748\) | −6.80666 | + | 3.92983i | −0.248876 | + | 0.143689i | ||||
\(749\) | −6.29040 | + | 10.8953i | −0.229846 | + | 0.398105i | ||||
\(750\) | 18.7628 | − | 4.79156i | 0.685119 | − | 0.174963i | ||||
\(751\) | 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 | ||||
\(753\) | −32.3115 | − | 23.7739i | −1.17750 | − | 0.866370i | ||||
\(754\) | 0.819909 | − | 2.25268i | 0.0298593 | − | 0.0820379i | ||||
\(755\) | 2.89462 | + | 46.5687i | 0.105346 | + | 1.69481i | ||||
\(756\) | 13.2313 | + | 2.10367i | 0.481218 | + | 0.0765099i | ||||
\(757\) | −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 | \(0.420085\pi\) | ||||
−0.248430 | + | 0.968650i | \(0.579915\pi\) | |||||||
\(762\) | −14.5348 | − | 4.26256i | −0.526539 | − | 0.154416i | ||||
\(763\) | 22.8807 | − | 8.32789i | 0.828337 | − | 0.301490i | ||||
\(764\) | 1.76196 | − | 0.310681i | 0.0637454 | − | 0.0112400i | ||||
\(765\) | −10.9481 | + | 13.4560i | −0.395829 | + | 0.486503i | ||||
\(766\) | −19.6574 | − | 7.15469i | −0.710249 | − | 0.258510i | ||||
\(767\) | −6.46983 | − | 11.2061i | −0.233612 | − | 0.404628i | ||||
\(768\) | 1.72144 | + | 0.191407i | 0.0621172 | + | 0.00690681i | ||||
\(769\) | 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 | ||||
\(771\) | −1.38745 | + | 12.4782i | −0.0499678 | + | 0.449392i | ||||
\(772\) | 1.61040 | + | 2.78929i | 0.0579595 | + | 0.100389i | ||||
\(773\) | 7.47640 | − | 20.5413i | 0.268908 | − | 0.738817i | −0.729583 | − | 0.683892i | \(-0.760286\pi\) |
0.998490 | − | 0.0549251i | \(-0.0174920\pi\) | |||||||
\(774\) | 9.46023 | + | 12.4135i | 0.340041 | + | 0.446195i | ||||
\(775\) | −34.4255 | + | 26.0487i | −1.23660 | + | 0.935697i | ||||
\(776\) | −0.777553 | − | 2.13631i | −0.0279125 | − | 0.0766891i | ||||
\(777\) | 27.0087 | + | 7.92075i | 0.968931 | + | 0.284155i | ||||
\(778\) | −35.4110 | −1.26955 | ||||||||
\(779\) | −0.194068 | − | 1.11411i | −0.00695321 | − | 0.0399171i | ||||
\(780\) | −9.84958 | + | 7.47954i | −0.352672 | + | 0.267810i | ||||
\(781\) | −8.91985 | + | 10.6303i | −0.319177 | + | 0.380381i | ||||
\(782\) | 4.47437 | + | 12.2932i | 0.160003 | + | 0.439605i | ||||
\(783\) | 0.612507 | − | 3.85243i | 0.0218892 | − | 0.137675i | ||||
\(784\) | 0.0611449 | − | 0.346770i | 0.00218375 | − | 0.0123846i | ||||
\(785\) | 27.2506 | + | 3.07744i | 0.972615 | + | 0.109839i | ||||
\(786\) | −7.52659 | + | 10.2295i | −0.268464 | + | 0.364874i | ||||
\(787\) | −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 | ||||
\(789\) | −25.0770 | − | 12.4182i | −0.892767 | − | 0.442099i | ||||
\(790\) | 35.5614 | + | 10.4954i | 1.26522 | + | 0.373411i | ||||
\(791\) | 19.4649 | + | 33.7142i | 0.692092 | + | 1.19874i | ||||
\(792\) | −8.10168 | + | 4.18350i | −0.287881 | + | 0.148654i | ||||
\(793\) | 5.63645 | − | 31.9659i | 0.200156 | − | 1.13514i | ||||
\(794\) | −3.94207 | − | 22.3566i | −0.139899 | − | 0.793406i | ||||
\(795\) | −14.3253 | − | 9.22773i | −0.508066 | − | 0.327274i | ||||
\(796\) | 2.53556 | + | 2.12759i | 0.0898707 | + | 0.0754104i | ||||
\(797\) | 33.2416i | 1.17748i | 0.808323 | + | 0.588739i | \(0.200376\pi\) | ||||
−0.808323 | + | 0.588739i | \(0.799624\pi\) | |||||||
\(798\) | −7.77350 | − | 17.8466i | −0.275179 | − | 0.631764i | ||||
\(799\) | −22.3651 | −0.791222 | ||||||||
\(800\) | 1.11509 | − | 4.87407i | 0.0394244 | − | 0.172324i | ||||
\(801\) | 15.1399 | − | 36.2120i | 0.534941 | − | 1.27949i | ||||
\(802\) | 8.41141 | − | 1.48316i | 0.297017 | − | 0.0523721i | ||||
\(803\) | −5.19112 | + | 29.4403i | −0.183191 | + | 1.03893i | ||||
\(804\) | −1.35912 | − | 21.2747i | −0.0479325 | − | 0.750300i | ||||
\(805\) | −20.0979 | − | 21.1367i | −0.708356 | − | 0.744971i | ||||
\(806\) | 13.7855 | − | 23.8772i | 0.485573 | − | 0.841038i | ||||
\(807\) | 18.6799 | + | 9.25031i | 0.657564 | + | 0.325626i | ||||
\(808\) | 13.5414 | − | 11.3626i | 0.476384 | − | 0.399734i | ||||
\(809\) | 10.5267 | + | 6.07759i | 0.370099 | + | 0.213677i | 0.673502 | − | 0.739186i | \(-0.264789\pi\) |
−0.303403 | + | 0.952862i | \(0.598123\pi\) | |||||||
\(810\) | −13.4194 | + | 14.9973i | −0.471510 | + | 0.526952i | ||||
\(811\) | −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 | ||||
\(813\) | −17.1066 | + | 11.3894i | −0.599954 | + | 0.399444i | ||||
\(814\) | −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 | ||||||||
\(819\) | 3.14311 | + | 24.4995i | 0.109829 | + | 0.856083i | ||||
\(820\) | −0.320676 | − | 0.483446i | −0.0111985 | − | 0.0168827i | ||||
\(821\) | −5.30027 | + | 0.934581i | −0.184981 | + | 0.0326171i | −0.265371 | − | 0.964146i | \(-0.585494\pi\) |
0.0803903 | + | 0.996763i | \(0.474383\pi\) | |||||||
\(822\) | 5.57773 | + | 22.9585i | 0.194546 | + | 0.800771i | ||||
\(823\) | 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 | ||||
\(825\) | 9.33364 | + | 24.6111i | 0.324956 | + | 0.856849i | ||||
\(826\) | 8.00347 | − | 6.71571i | 0.278476 | − | 0.233669i | ||||
\(827\) | −21.7299 | − | 25.8966i | −0.755621 | − | 0.900514i | 0.241942 | − | 0.970291i | \(-0.422216\pi\) |
−0.997563 | + | 0.0697767i | \(0.977771\pi\) | |||||||
\(828\) | 4.51589 | + | 14.4893i | 0.156938 | + | 0.503539i | ||||
\(829\) | −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 | ||||
\(831\) | −5.25697 | − | 21.6382i | −0.182362 | − | 0.750622i | ||||
\(832\) | 0.554511 | + | 3.14479i | 0.0192242 | + | 0.109026i | ||||
\(833\) | 0.855654 | − | 0.311433i | 0.0296466 | − | 0.0107905i | ||||
\(834\) | −6.39895 | − | 1.87660i | −0.221577 | − | 0.0649813i | ||||
\(835\) | −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 | 0.490267 | − | 0.871572i | \(-0.336899\pi\) |
0.935802 | + | 0.352526i | \(0.114677\pi\) | |||||||
\(840\) | −7.32839 | − | 6.78328i | −0.252854 | − | 0.234045i | ||||
\(841\) | −4.93793 | + | 28.0044i | −0.170274 | + | 0.965670i | ||||
\(842\) | −12.7250 | − | 4.63152i | −0.438532 | − | 0.159613i | ||||
\(843\) | −16.4412 | + | 22.3454i | −0.566264 | + | 0.769617i | ||||
\(844\) | 2.22484 | + | 1.28451i | 0.0765820 | + | 0.0442146i | ||||
\(845\) | 5.04170 | + | 3.72293i | 0.173440 | + | 0.128073i | ||||
\(846\) | −25.9174 | − | 1.21739i | −0.891059 | − | 0.0418547i | ||||
\(847\) | −3.93516 | − | 2.27197i | −0.135214 | − | 0.0780657i | ||||
\(848\) | −3.81029 | + | 2.19987i | −0.130846 | + | 0.0755438i | ||||
\(849\) | −32.6877 | + | 2.08824i | −1.12184 | + | 0.0716682i | ||||
\(850\) | 12.3573 | − | 3.80483i | 0.423853 | − | 0.130505i | ||||
\(851\) | 5.53662 | + | 31.3997i | 0.189793 | + | 1.07637i | ||||
\(852\) | 5.45908 | + | 5.72152i | 0.187025 | + | 0.196016i | ||||
\(853\) | 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 | ||||||||
\(855\) | 28.8601 | + | 4.70079i | 0.986993 | + | 0.160764i | ||||
\(856\) | −4.87940 | −0.166775 | ||||||||
\(857\) | −33.1233 | + | 39.4748i | −1.13147 | + | 1.34843i | −0.202066 | + | 0.979372i | \(0.564766\pi\) |
−0.929404 | + | 0.369063i | \(0.879679\pi\) | |||||||
\(858\) | −11.6046 | − | 12.1625i | −0.396176 | − | 0.415221i | ||||
\(859\) | 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 | ||||
\(861\) | −1.15627 | + | 0.0738678i | −0.0394056 | + | 0.00251741i | ||||
\(862\) | 18.2325 | − | 10.5265i | 0.621001 | − | 0.358535i | ||||
\(863\) | −30.2707 | − | 17.4768i | −1.03043 | − | 0.594916i | −0.113319 | − | 0.993559i | \(-0.536148\pi\) |
−0.917106 | + | 0.398642i | \(0.869481\pi\) | |||||||
\(864\) | 1.85926 | + | 4.85213i | 0.0632532 | + | 0.165073i | ||||
\(865\) | −11.3291 | + | 15.3422i | −0.385202 | + | 0.521651i | ||||
\(866\) | −9.06009 | − | 5.23084i | −0.307874 | − | 0.177751i | ||||
\(867\) | 10.5859 | − | 14.3875i | 0.359517 | − | 0.488624i | ||||
\(868\) | 20.9189 | + | 7.61387i | 0.710035 | + | 0.258432i | ||||
\(869\) | −8.75147 | + | 49.6321i | −0.296873 | + | 1.68365i | ||||
\(870\) | −1.97502 | + | 2.13374i | −0.0669595 | + | 0.0723405i | ||||
\(871\) | 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 | ||||
\(876\) | 16.3476 | + | 4.79421i | 0.552335 | + | 0.161981i | ||||
\(877\) | 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 | ||||
\(879\) | −1.99582 | − | 8.21502i | −0.0673175 | − | 0.277086i | ||||
\(880\) | 6.75327 | + | 0.762655i | 0.227653 | + | 0.0257091i | ||||
\(881\) | −14.5985 | + | 8.42846i | −0.491837 | + | 0.283962i | −0.725336 | − | 0.688395i | \(-0.758316\pi\) |
0.233499 | + | 0.972357i | \(0.424982\pi\) | |||||||
\(882\) | 1.00851 | − | 0.314322i | 0.0339583 | − | 0.0105838i | ||||
\(883\) | −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 | ||||
\(885\) | 1.97026 | + | 15.5696i | 0.0662295 | + | 0.523367i | ||||
\(886\) | −32.2113 | + | 18.5972i | −1.08216 | + | 0.624785i | ||||
\(887\) | 12.4909 | − | 34.3185i | 0.419404 | − | 1.15230i | −0.532641 | − | 0.846341i | \(-0.678800\pi\) |
0.952044 | − | 0.305960i | \(-0.0989775\pi\) | |||||||
\(888\) | 2.57714 | + | 10.6078i | 0.0864833 | + | 0.355974i | ||||
\(889\) | 22.2053 | − | 3.91539i | 0.744741 | − | 0.131318i | ||||
\(890\) | −24.3792 | + | 16.1710i | −0.817192 | + | 0.542054i | ||||
\(891\) | −22.3030 | − | 15.8374i | −0.747180 | − | 0.530574i | ||||
\(892\) | −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 | ||||
\(897\) | −23.2907 | + | 15.5068i | −0.777655 | + | 0.517756i | ||||
\(898\) | −9.11539 | − | 1.60729i | −0.304184 | − | 0.0536359i | ||||
\(899\) | 2.21686 | − | 6.09077i | 0.0739364 | − | 0.203139i | ||||
\(900\) | 14.5272 | − | 3.73652i | 0.484239 | − | 0.124551i | ||||
\(901\) | −9.85326 | − | 5.68878i | −0.328260 | − | 0.189521i | ||||
\(902\) | 0.604056 | − | 0.506863i | 0.0201129 | − | 0.0168767i | ||||
\(903\) | −20.8204 | − | 10.3103i | −0.692858 | − | 0.343104i | ||||
\(904\) | −7.54937 | + | 13.0759i | −0.251088 | + | 0.434898i | ||||
\(905\) | −3.38674 | − | 3.56180i | −0.112579 | − | 0.118398i | ||||
\(906\) | 2.30419 | + | 36.0680i | 0.0765515 | + | 1.19828i | ||||
\(907\) | −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 | ||||
\(909\) | 48.9270 | + | 20.4559i | 1.62281 | + | 0.678479i | ||||
\(910\) | 8.19840 | − | 16.4844i | 0.271774 | − | 0.546452i | ||||
\(911\) | 51.3737 | 1.70209 | 0.851044 | − | 0.525095i | \(-0.175970\pi\) | ||||
0.851044 | + | 0.525095i | \(0.175970\pi\) | |||||||
\(912\) | 4.48693 | − | 6.07185i | 0.148577 | − | 0.201059i | ||||
\(913\) | 1.14593i | 0.0379249i | ||||||||
\(914\) | −3.89768 | − | 3.27054i | −0.128924 | − | 0.108180i | ||||
\(915\) | −21.3188 | + | 33.0957i | −0.704778 | + | 1.09411i | ||||
\(916\) | 2.47918 | + | 14.0601i | 0.0819143 | + | 0.464559i | ||||
\(917\) | 3.28290 | − | 18.6182i | 0.108411 | − | 0.614828i | ||||
\(918\) | −8.46241 | + | 10.4375i | −0.279301 | + | 0.344490i | ||||
\(919\) | −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 | ||||
\(921\) | 6.73661 | + | 3.33598i | 0.221979 | + | 0.109924i | ||||
\(922\) | 18.4873 | − | 15.5127i | 0.608846 | − | 0.510882i | ||||
\(923\) | −7.28986 | + | 12.6264i | −0.239949 | + | 0.415603i | ||||
\(924\) | 8.04405 | − | 10.9328i | 0.264630 | − | 0.359662i | ||||
\(925\) | 31.2702 | − | 3.90247i | 1.02816 | − | 0.128312i | ||||
\(926\) | 0.620365 | − | 3.51827i | 0.0203865 | − | 0.115617i | ||||
\(927\) | 47.6461 | + | 30.5757i | 1.56490 | + | 1.00424i | ||||
\(928\) | 0.256759 | + | 0.705440i | 0.00842853 | + | 0.0231572i | ||||
\(929\) | −21.1905 | + | 25.2538i | −0.695237 | + | 0.828552i | −0.991979 | − | 0.126406i | \(-0.959656\pi\) |
0.296741 | + | 0.954958i | \(0.404100\pi\) | |||||||
\(930\) | −26.6312 | + | 20.2231i | −0.873270 | + | 0.663140i | ||||
\(931\) | −1.17372 | − | 0.989019i | −0.0384671 | − | 0.0324138i | ||||
\(932\) | −4.64209 | −0.152057 | ||||||||
\(933\) | 41.6056 | + | 12.2015i | 1.36211 | + | 0.399460i | ||||
\(934\) | 10.2508 | + | 28.1638i | 0.335416 | + | 0.921547i | ||||
\(935\) | 7.02388 | + | 16.1101i | 0.229705 | + | 0.526857i | ||||
\(936\) | −7.61948 | + | 5.80673i | −0.249050 | + | 0.189799i | ||||
\(937\) | 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 | ||||
\(939\) | 0.133895 | − | 1.20420i | 0.00436949 | − | 0.0392975i | ||||
\(940\) | 15.5572 | + | 11.4879i | 0.507420 | + | 0.374693i | ||||
\(941\) | −15.2406 | + | 12.7884i | −0.496828 | + | 0.416888i | −0.856466 | − | 0.516204i | \(-0.827345\pi\) |
0.359638 | + | 0.933092i | \(0.382900\pi\) | |||||||
\(942\) | 21.1123 | + | 2.34747i | 0.687875 | + | 0.0764848i | ||||
\(943\) | −0.656250 | − | 1.13666i | −0.0213705 | − | 0.0370147i | ||||
\(944\) | 3.80775 | + | 1.38591i | 0.123932 | + | 0.0451074i | ||||
\(945\) | 7.99433 | − | 28.8713i | 0.260056 | − | 0.939185i | ||||
\(946\) | 15.5719 | − | 2.74575i | 0.506287 | − | 0.0892720i | ||||
\(947\) | 6.53179 | − | 2.37738i | 0.212255 | − | 0.0772544i | −0.233705 | − | 0.972308i | \(-0.575085\pi\) |
0.445959 | + | 0.895053i | \(0.352863\pi\) | |||||||
\(948\) | 27.5597 | + | 8.08235i | 0.895098 | + | 0.262502i | ||||
\(949\) | 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 | 0.994514 | − | 0.104601i | \(-0.0333567\pi\) |
−0.829079 | + | 0.559132i | \(0.811134\pi\) | |||||||
\(954\) | −11.1086 | − | 7.12868i | −0.359655 | − | 0.230799i | ||||
\(955\) | −0.248193 | − | 3.99293i | −0.00803133 | − | 0.129208i | ||||
\(956\) | 7.55997 | − | 20.7709i | 0.244507 | − | 0.671777i | ||||
\(957\) | −3.18319 | − | 2.34211i | −0.102898 | − | 0.0757097i | ||||
\(958\) | 7.53934 | − | 13.0585i | 0.243585 | − | 0.421901i | ||||
\(959\) | −22.6071 | − | 26.9421i | −0.730022 | − | 0.870007i | ||||
\(960\) | 0.857252 | − | 3.77692i | 0.0276677 | − | 0.121900i | ||||
\(961\) | 21.7730 | − | 37.7120i | 0.702356 | − | 1.21652i | ||||
\(962\) | −17.4296 | + | 10.0630i | −0.561953 | + | 0.324444i | ||||
\(963\) | −6.71623 | − | 13.0065i | −0.216428 | − | 0.419129i | ||||
\(964\) | 17.5544 | + | 3.09531i | 0.565388 | + | 0.0996932i | ||||
\(965\) | 6.60174 | − | 2.87831i | 0.212518 | − | 0.0926560i | ||||
\(966\) | −15.5959 | − | 16.3456i | −0.501789 | − | 0.525912i | ||||
\(967\) | −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 | ||||||
\(969\) | 19.3995 | + | 2.19774i | 0.623202 | + | 0.0706015i | ||||
\(970\) | −4.94187 | + | 1.19162i | −0.158674 | + | 0.0382607i | ||||
\(971\) | 1.01292 | + | 0.849937i | 0.0325060 | + | 0.0272758i | 0.658896 | − | 0.752234i | \(-0.271024\pi\) |
−0.626390 | + | 0.779510i | \(0.715468\pi\) | |||||||
\(972\) | −10.3746 | + | 11.6347i | −0.332767 | + | 0.373184i | ||||
\(973\) | 9.77590 | − | 1.72376i | 0.313401 | − | 0.0552611i | ||||
\(974\) | −27.6866 | − | 4.88190i | −0.887137 | − | 0.156426i | ||||
\(975\) | 14.1476 | + | 23.7620i | 0.453085 | + | 0.760994i | ||||
\(976\) | 5.08235 | + | 8.80290i | 0.162682 | + | 0.281774i | ||||
\(977\) | 52.9508 | + | 30.5712i | 1.69405 | + | 0.978059i | 0.951188 | + | 0.308612i | \(0.0998643\pi\) |
0.742860 | + | 0.669447i | \(0.233469\pi\) | |||||||
\(978\) | 22.9294 | + | 11.3547i | 0.733201 | + | 0.363082i | ||||
\(979\) | −25.5600 | − | 30.4613i | −0.816902 | − | 0.973546i | ||||
\(980\) | −0.755160 | − | 0.222874i | −0.0241227 | − | 0.00711946i | ||||
\(981\) | −6.22332 | + | 27.6391i | −0.198695 | + | 0.882449i | ||||
\(982\) | −14.6830 | − | 5.34417i | −0.468553 | − | 0.170539i | ||||
\(983\) | −22.7822 | − | 4.01712i | −0.726640 | − | 0.128126i | −0.201921 | − | 0.979402i | \(-0.564718\pi\) |
−0.524719 | + | 0.851276i | \(0.675829\pi\) | |||||||
\(984\) | −0.249038 | − | 0.374048i | −0.00793905 | − | 0.0119242i | ||||
\(985\) | −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 | ||||||
\(990\) | 7.26258 | + | 19.0512i | 0.230820 | + | 0.605488i | ||||
\(991\) | 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 | ||||
\(993\) | −9.34495 | − | 38.4648i | −0.296553 | − | 1.22064i | ||||
\(994\) | −11.0621 | − | 4.02626i | −0.350868 | − | 0.127705i | ||||
\(995\) | 5.36363 | − | 5.10001i | 0.170038 | − | 0.161681i | ||||
\(996\) | 0.649039 | + | 0.0721667i | 0.0205656 | + | 0.00228669i | ||||
\(997\) | −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 | ||||
\(999\) | −24.7288 | + | 21.4707i | −0.782384 | + | 0.679302i |
(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.269.15 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.30 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.26 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.11 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.11 | ✓ | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.26 | yes | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.30 | yes | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.15 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.11 | ✓ | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.89.15 | yes | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.89.26 | yes | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.89.30 | yes | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.269.11 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.269.15 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.269.26 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.30 | yes | 240 | 3.2 | odd | 2 | inner |