Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(26,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.7 | ||
Character | \(\chi\) | \(=\) | 525.26 |
Dual form | 525.2.t.j.101.7 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.558418 | + | 0.322403i | 0.394861 | + | 0.227973i | 0.684264 | − | 0.729234i | \(-0.260123\pi\) |
−0.289403 | + | 0.957207i | \(0.593457\pi\) | |||||||
\(3\) | 0.358331 | + | 1.69458i | 0.206883 | + | 0.978366i | ||||
\(4\) | −0.792113 | − | 1.37198i | −0.396056 | − | 0.685990i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.346239 | + | 1.06181i | −0.141351 | + | 0.433483i | ||||
\(7\) | 0.105130 | + | 2.64366i | 0.0397354 | + | 0.999210i | ||||
\(8\) | − | 2.31113i | − | 0.817108i | ||||||
\(9\) | −2.74320 | + | 1.21444i | −0.914399 | + | 0.404814i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.51044 | + | 2.02675i | −1.05844 | + | 0.611089i | −0.924999 | − | 0.379968i | \(-0.875935\pi\) |
−0.133437 | + | 0.991057i | \(0.542602\pi\) | |||||||
\(12\) | 2.04109 | − | 1.83392i | 0.589212 | − | 0.529407i | ||||
\(13\) | 4.21339i | 1.16858i | 0.811543 | + | 0.584292i | \(0.198628\pi\) | ||||
−0.811543 | + | 0.584292i | \(0.801372\pi\) | |||||||
\(14\) | −0.793618 | + | 1.51016i | −0.212103 | + | 0.403608i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.839111 | + | 1.45338i | −0.209778 | + | 0.363346i | ||||
\(17\) | 1.08830 | + | 1.88498i | 0.263951 | + | 0.457176i | 0.967288 | − | 0.253680i | \(-0.0816411\pi\) |
−0.703338 | + | 0.710856i | \(0.748308\pi\) | |||||||
\(18\) | −1.92339 | − | 0.206248i | −0.453348 | − | 0.0486132i | ||||
\(19\) | 3.87634 | + | 2.23800i | 0.889293 | + | 0.513434i | 0.873711 | − | 0.486445i | \(-0.161707\pi\) |
0.0155818 | + | 0.999879i | \(0.495040\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.44222 | + | 1.12546i | −0.969372 | + | 0.245595i | ||||
\(22\) | −2.61372 | −0.557248 | ||||||||
\(23\) | 0.558418 | + | 0.322403i | 0.116438 | + | 0.0672257i | 0.557088 | − | 0.830453i | \(-0.311919\pi\) |
−0.440650 | + | 0.897679i | \(0.645252\pi\) | |||||||
\(24\) | 3.91639 | − | 0.828150i | 0.799430 | − | 0.169045i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.35841 | + | 2.35284i | −0.266406 | + | 0.461429i | ||||
\(27\) | −3.04094 | − | 4.21339i | −0.585229 | − | 0.810868i | ||||
\(28\) | 3.54377 | − | 2.23831i | 0.669710 | − | 0.423002i | ||||
\(29\) | 1.16875i | 0.217032i | 0.994095 | + | 0.108516i | \(0.0346099\pi\) | ||||
−0.994095 | + | 0.108516i | \(0.965390\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.339111 | + | 0.195786i | −0.0609061 | + | 0.0351641i | −0.530144 | − | 0.847908i | \(-0.677862\pi\) |
0.469238 | + | 0.883072i | \(0.344529\pi\) | |||||||
\(32\) | −4.94014 | + | 2.85219i | −0.873302 | + | 0.504201i | ||||
\(33\) | −4.69239 | − | 5.22247i | −0.816841 | − | 0.909115i | ||||
\(34\) | 1.40348i | 0.240695i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.83911 | + | 2.80164i | 0.639852 | + | 0.466939i | ||||
\(37\) | 2.13178 | − | 3.69236i | 0.350463 | − | 0.607020i | −0.635868 | − | 0.771798i | \(-0.719358\pi\) |
0.986331 | + | 0.164778i | \(0.0526909\pi\) | |||||||
\(38\) | 1.44308 | + | 2.49949i | 0.234098 | + | 0.405470i | ||||
\(39\) | −7.13993 | + | 1.50979i | −1.14330 | + | 0.241760i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.27971 | −0.356031 | −0.178016 | − | 0.984028i | \(-0.556968\pi\) | ||||
−0.178016 | + | 0.984028i | \(0.556968\pi\) | |||||||
\(42\) | −2.84347 | − | 0.803709i | −0.438757 | − | 0.124015i | ||||
\(43\) | 6.54419 | 0.997980 | 0.498990 | − | 0.866608i | \(-0.333705\pi\) | ||||
0.498990 | + | 0.866608i | \(0.333705\pi\) | |||||||
\(44\) | 5.56132 | + | 3.21083i | 0.838401 | + | 0.484051i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.207887 | + | 0.360071i | 0.0306513 | + | 0.0530896i | ||||
\(47\) | 3.90070 | − | 6.75621i | 0.568975 | − | 0.985494i | −0.427692 | − | 0.903924i | \(-0.640673\pi\) |
0.996668 | − | 0.0815698i | \(-0.0259934\pi\) | |||||||
\(48\) | −2.76355 | − | 0.901147i | −0.398884 | − | 0.130069i | ||||
\(49\) | −6.97790 | + | 0.555857i | −0.996842 | + | 0.0794081i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.80428 | + | 2.51965i | −0.392678 | + | 0.352822i | ||||
\(52\) | 5.78069 | − | 3.33748i | 0.801637 | − | 0.462825i | ||||
\(53\) | −6.23667 | + | 3.60074i | −0.856672 | + | 0.494600i | −0.862896 | − | 0.505381i | \(-0.831352\pi\) |
0.00622439 | + | 0.999981i | \(0.498019\pi\) | |||||||
\(54\) | −0.339707 | − | 3.33324i | −0.0462283 | − | 0.453597i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.10984 | − | 0.242969i | 0.816462 | − | 0.0324681i | ||||
\(57\) | −2.40346 | + | 7.37071i | −0.318346 | + | 0.976274i | ||||
\(58\) | −0.376810 | + | 0.652654i | −0.0494776 | + | 0.0856977i | ||||
\(59\) | −5.66247 | − | 9.80768i | −0.737190 | − | 1.27685i | −0.953756 | − | 0.300583i | \(-0.902819\pi\) |
0.216566 | − | 0.976268i | \(-0.430515\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.05456 | + | 3.49560i | 0.775207 | + | 0.447566i | 0.834729 | − | 0.550661i | \(-0.185624\pi\) |
−0.0595220 | + | 0.998227i | \(0.518958\pi\) | |||||||
\(62\) | −0.252487 | −0.0320659 | ||||||||
\(63\) | −3.49897 | − | 7.12441i | −0.440828 | − | 0.897591i | ||||
\(64\) | −0.321779 | −0.0402224 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.936579 | − | 4.42916i | −0.115285 | − | 0.545192i | ||||
\(67\) | 4.36870 | + | 7.56680i | 0.533721 | + | 0.924432i | 0.999224 | + | 0.0393859i | \(0.0125402\pi\) |
−0.465503 | + | 0.885046i | \(0.654127\pi\) | |||||||
\(68\) | 1.72411 | − | 2.98624i | 0.209079 | − | 0.362135i | ||||
\(69\) | −0.346239 | + | 1.06181i | −0.0416822 | + | 0.127827i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 8.13766i | − | 0.965762i | −0.875686 | − | 0.482881i | \(-0.839590\pi\) | ||
0.875686 | − | 0.482881i | \(-0.160410\pi\) | |||||||
\(72\) | 2.80673 | + | 6.33988i | 0.330777 | + | 0.747163i | ||||
\(73\) | 4.53525 | − | 2.61843i | 0.530810 | − | 0.306464i | −0.210536 | − | 0.977586i | \(-0.567521\pi\) |
0.741346 | + | 0.671123i | \(0.234188\pi\) | |||||||
\(74\) | 2.38085 | − | 1.37459i | 0.276769 | − | 0.159792i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 7.09101i | − | 0.813394i | ||||||
\(77\) | −5.72710 | − | 9.06734i | −0.652664 | − | 1.03332i | ||||
\(78\) | −4.47383 | − | 1.45884i | −0.506561 | − | 0.165181i | ||||
\(79\) | 1.87634 | − | 3.24991i | 0.211105 | − | 0.365644i | −0.740956 | − | 0.671554i | \(-0.765627\pi\) |
0.952060 | + | 0.305910i | \(0.0989606\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.05026 | − | 6.66291i | 0.672251 | − | 0.740323i | ||||
\(82\) | −1.27303 | − | 0.734986i | −0.140583 | − | 0.0811656i | ||||
\(83\) | 5.27461 | 0.578964 | 0.289482 | − | 0.957183i | \(-0.406517\pi\) | ||||
0.289482 | + | 0.957183i | \(0.406517\pi\) | |||||||
\(84\) | 5.06285 | + | 5.20315i | 0.552402 | + | 0.567710i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.65439 | + | 2.10987i | 0.394064 | + | 0.227513i | ||||
\(87\) | −1.98055 | + | 0.418802i | −0.212337 | + | 0.0449002i | ||||
\(88\) | 4.68409 | + | 8.11308i | 0.499325 | + | 0.864857i | ||||
\(89\) | −0.447379 | + | 0.774883i | −0.0474221 | + | 0.0821375i | −0.888762 | − | 0.458369i | \(-0.848434\pi\) |
0.841340 | + | 0.540506i | \(0.181767\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.1388 | + | 0.442954i | −1.16766 | + | 0.0464342i | ||||
\(92\) | − | 1.02152i | − | 0.106501i | ||||||
\(93\) | −0.453288 | − | 0.504494i | −0.0470038 | − | 0.0523135i | ||||
\(94\) | 4.35644 | − | 2.51519i | 0.449333 | − | 0.259422i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −6.60347 | − | 7.34943i | −0.673964 | − | 0.750098i | ||||
\(97\) | 3.89968i | 0.395953i | 0.980207 | + | 0.197976i | \(0.0634370\pi\) | ||||
−0.980207 | + | 0.197976i | \(0.936563\pi\) | |||||||
\(98\) | −4.07579 | − | 1.93929i | −0.411717 | − | 0.195898i | ||||
\(99\) | 7.16845 | − | 9.82300i | 0.720456 | − | 0.987249i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.29188 | + | 5.70171i | 0.327555 | + | 0.567341i | 0.982026 | − | 0.188745i | \(-0.0604421\pi\) |
−0.654471 | + | 0.756087i | \(0.727109\pi\) | |||||||
\(102\) | −2.37831 | + | 0.502911i | −0.235487 | + | 0.0497956i | ||||
\(103\) | 8.49954 | + | 4.90721i | 0.837485 | + | 0.483522i | 0.856408 | − | 0.516299i | \(-0.172691\pi\) |
−0.0189238 | + | 0.999821i | \(0.506024\pi\) | |||||||
\(104\) | 9.73770 | 0.954860 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.64356 | −0.451022 | ||||||||
\(107\) | 16.2635 | + | 9.38974i | 1.57225 | + | 0.907740i | 0.995892 | + | 0.0905447i | \(0.0288608\pi\) |
0.576360 | + | 0.817196i | \(0.304473\pi\) | |||||||
\(108\) | −3.37192 | + | 7.50959i | −0.324463 | + | 0.722611i | ||||
\(109\) | 0.453002 | + | 0.784623i | 0.0433897 | + | 0.0751532i | 0.886905 | − | 0.461952i | \(-0.152851\pi\) |
−0.843515 | + | 0.537106i | \(0.819518\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.02088 | + | 2.28939i | 0.666392 | + | 0.217299i | ||||
\(112\) | −3.93047 | − | 2.06553i | −0.371394 | − | 0.195174i | ||||
\(113\) | 8.82955i | 0.830614i | 0.909681 | + | 0.415307i | \(0.136326\pi\) | ||||
−0.909681 | + | 0.415307i | \(0.863674\pi\) | |||||||
\(114\) | −3.71848 | + | 3.34105i | −0.348267 | + | 0.312918i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.60351 | − | 0.925786i | 0.148882 | − | 0.0859570i | ||||
\(117\) | −5.11692 | − | 11.5582i | −0.473059 | − | 1.06855i | ||||
\(118\) | − | 7.30238i | − | 0.672239i | ||||||
\(119\) | −4.86885 | + | 3.07526i | −0.446327 | + | 0.281908i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.71545 | − | 4.70330i | 0.246859 | − | 0.427572i | ||||
\(122\) | 2.25398 | + | 3.90402i | 0.204066 | + | 0.353453i | ||||
\(123\) | −0.816892 | − | 3.86315i | −0.0736567 | − | 0.348329i | ||||
\(124\) | 0.537228 | + | 0.310168i | 0.0482445 | + | 0.0278540i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.343045 | − | 5.10648i | 0.0305609 | − | 0.454921i | ||||
\(127\) | 15.8249 | 1.40424 | 0.702118 | − | 0.712060i | \(-0.252238\pi\) | ||||
0.702118 | + | 0.712060i | \(0.252238\pi\) | |||||||
\(128\) | 9.70060 | + | 5.60064i | 0.857420 | + | 0.495032i | ||||
\(129\) | 2.34499 | + | 11.0896i | 0.206465 | + | 0.976389i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.27814 | − | 14.3382i | 0.723265 | − | 1.25273i | −0.236419 | − | 0.971651i | \(-0.575974\pi\) |
0.959684 | − | 0.281080i | \(-0.0906928\pi\) | |||||||
\(132\) | −3.44821 | + | 10.5746i | −0.300128 | + | 0.920405i | ||||
\(133\) | −5.50901 | + | 10.4830i | −0.477692 | + | 0.908992i | ||||
\(134\) | 5.63392i | 0.486697i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.35644 | − | 2.51519i | 0.373562 | − | 0.215676i | ||||
\(137\) | −17.2007 | + | 9.93080i | −1.46955 | + | 0.848446i | −0.999417 | − | 0.0341490i | \(-0.989128\pi\) |
−0.470135 | + | 0.882595i | \(0.655795\pi\) | |||||||
\(138\) | −0.535677 | + | 0.481306i | −0.0455998 | + | 0.0409715i | ||||
\(139\) | 0.228766i | 0.0194037i | 0.999953 | + | 0.00970183i | \(0.00308824\pi\) | ||||
−0.999953 | + | 0.00970183i | \(0.996912\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8467 | + | 4.18908i | 1.08188 | + | 0.352784i | ||||
\(142\) | 2.62361 | − | 4.54422i | 0.220168 | − | 0.381342i | ||||
\(143\) | −8.53950 | − | 14.7909i | −0.714109 | − | 1.23687i | ||||
\(144\) | 0.536798 | − | 5.00596i | 0.0447332 | − | 0.417164i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.37675 | 0.279462 | ||||||||
\(147\) | −3.44234 | − | 11.6254i | −0.283920 | − | 0.958848i | ||||
\(148\) | −6.75445 | −0.555212 | ||||||||
\(149\) | −8.62438 | − | 4.97929i | −0.706537 | − | 0.407919i | 0.103240 | − | 0.994656i | \(-0.467079\pi\) |
−0.809777 | + | 0.586737i | \(0.800412\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.53723 | + | 4.39461i | 0.206477 | + | 0.357628i | 0.950602 | − | 0.310412i | \(-0.100467\pi\) |
−0.744126 | + | 0.668040i | \(0.767134\pi\) | |||||||
\(152\) | 5.17232 | − | 8.95872i | 0.419530 | − | 0.726648i | ||||
\(153\) | −5.27461 | − | 3.84921i | −0.426427 | − | 0.311190i | ||||
\(154\) | −0.274781 | − | 6.90980i | −0.0221425 | − | 0.556808i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 7.72703 | + | 8.59991i | 0.618657 | + | 0.688544i | ||||
\(157\) | −14.5956 | + | 8.42678i | −1.16486 | + | 0.672531i | −0.952463 | − | 0.304653i | \(-0.901459\pi\) |
−0.212394 | + | 0.977184i | \(0.568126\pi\) | |||||||
\(158\) | 2.09556 | − | 1.20987i | 0.166714 | − | 0.0962524i | ||||
\(159\) | −8.33653 | − | 9.27827i | −0.661130 | − | 0.735814i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.793618 | + | 1.51016i | −0.0625458 | + | 0.119018i | ||||
\(162\) | 5.52672 | − | 1.77007i | 0.434220 | − | 0.139070i | ||||
\(163\) | 2.40346 | − | 4.16292i | 0.188254 | − | 0.326065i | −0.756414 | − | 0.654093i | \(-0.773051\pi\) |
0.944668 | + | 0.328028i | \(0.106384\pi\) | |||||||
\(164\) | 1.80579 | + | 3.12772i | 0.141008 | + | 0.244234i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.94544 | + | 1.70055i | 0.228611 | + | 0.131988i | ||||
\(167\) | −4.45089 | −0.344420 | −0.172210 | − | 0.985060i | \(-0.555091\pi\) | ||||
−0.172210 | + | 0.985060i | \(0.555091\pi\) | |||||||
\(168\) | 2.60108 | + | 10.2666i | 0.200678 | + | 0.792082i | ||||
\(169\) | −4.75268 | −0.365590 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −13.3515 | − | 1.43170i | −1.02101 | − | 0.109485i | ||||
\(172\) | −5.18374 | − | 8.97849i | −0.395256 | − | 0.684604i | ||||
\(173\) | 5.72710 | − | 9.91963i | 0.435423 | − | 0.754175i | −0.561907 | − | 0.827201i | \(-0.689932\pi\) |
0.997330 | + | 0.0730252i | \(0.0232654\pi\) | |||||||
\(174\) | −1.24100 | − | 0.404668i | −0.0940797 | − | 0.0306778i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 6.80268i | − | 0.512771i | ||||||
\(177\) | 14.5908 | − | 13.1099i | 1.09672 | − | 0.985400i | ||||
\(178\) | −0.499649 | + | 0.288473i | −0.0374503 | + | 0.0216219i | ||||
\(179\) | 9.04522 | − | 5.22226i | 0.676071 | − | 0.390330i | −0.122302 | − | 0.992493i | \(-0.539028\pi\) |
0.798373 | + | 0.602163i | \(0.205694\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 11.9616i | − | 0.889095i | −0.895755 | − | 0.444548i | \(-0.853364\pi\) | ||
0.895755 | − | 0.444548i | \(-0.146636\pi\) | |||||||
\(182\) | −6.36291 | − | 3.34382i | −0.471650 | − | 0.247861i | ||||
\(183\) | −3.75404 | + | 11.5125i | −0.277506 | + | 0.851030i | ||||
\(184\) | 0.745115 | − | 1.29058i | 0.0549306 | − | 0.0951426i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.0904741 | − | 0.427860i | −0.00663389 | − | 0.0313722i | ||||
\(187\) | −7.64079 | − | 4.41141i | −0.558750 | − | 0.322594i | ||||
\(188\) | −12.3592 | −0.901385 | ||||||||
\(189\) | 10.8191 | − | 8.48217i | 0.786973 | − | 0.616987i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.2522 | − | 7.07383i | −0.886541 | − | 0.511844i | −0.0137312 | − | 0.999906i | \(-0.504371\pi\) |
−0.872809 | + | 0.488061i | \(0.837704\pi\) | |||||||
\(192\) | −0.115303 | − | 0.545280i | −0.00832131 | − | 0.0393522i | ||||
\(193\) | −3.09566 | − | 5.36185i | −0.222831 | − | 0.385954i | 0.732836 | − | 0.680406i | \(-0.238196\pi\) |
−0.955666 | + | 0.294452i | \(0.904863\pi\) | |||||||
\(194\) | −1.25727 | + | 2.17765i | −0.0902667 | + | 0.156346i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.28990 | + | 9.13323i | 0.449279 | + | 0.652373i | ||||
\(197\) | 13.0751i | 0.931562i | 0.884900 | + | 0.465781i | \(0.154227\pi\) | ||||
−0.884900 | + | 0.465781i | \(0.845773\pi\) | |||||||
\(198\) | 7.16996 | − | 3.17421i | 0.509547 | − | 0.225582i | ||||
\(199\) | −14.6810 | + | 8.47608i | −1.04071 | + | 0.600854i | −0.920034 | − | 0.391838i | \(-0.871839\pi\) |
−0.120675 | + | 0.992692i | \(0.538506\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.2571 | + | 10.1145i | −0.794015 | + | 0.713424i | ||||
\(202\) | 4.24525i | 0.298695i | ||||||||
\(203\) | −3.08979 | + | 0.122871i | −0.216861 | + | 0.00862388i | ||||
\(204\) | 5.67822 | + | 1.85157i | 0.397555 | + | 0.129636i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 3.16420 | + | 5.48055i | 0.220460 | + | 0.381848i | ||||
\(207\) | −1.92339 | − | 0.206248i | −0.133685 | − | 0.0143353i | ||||
\(208\) | −6.12367 | − | 3.53550i | −0.424600 | − | 0.245143i | ||||
\(209\) | −18.1435 | −1.25501 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.4309 | −1.26884 | −0.634418 | − | 0.772990i | \(-0.718760\pi\) | ||||
−0.634418 | + | 0.772990i | \(0.718760\pi\) | |||||||
\(212\) | 9.88029 | + | 5.70439i | 0.678581 | + | 0.391779i | ||||
\(213\) | 13.7899 | − | 2.91598i | 0.944869 | − | 0.199800i | ||||
\(214\) | 6.05456 | + | 10.4868i | 0.413881 | + | 0.716863i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −9.73770 | + | 7.02801i | −0.662566 | + | 0.478195i | ||||
\(217\) | −0.553242 | − | 0.875911i | −0.0375565 | − | 0.0594607i | ||||
\(218\) | 0.584197i | 0.0395668i | ||||||||
\(219\) | 6.06225 | + | 6.74707i | 0.409649 | + | 0.455925i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.94218 | + | 4.58542i | −0.534249 | + | 0.308449i | ||||
\(222\) | 3.18248 | + | 3.54199i | 0.213594 | + | 0.237723i | ||||
\(223\) | 0.627418i | 0.0420150i | 0.999779 | + | 0.0210075i | \(0.00668739\pi\) | ||||
−0.999779 | + | 0.0210075i | \(0.993313\pi\) | |||||||
\(224\) | −8.05959 | − | 12.7602i | −0.538504 | − | 0.852578i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.84667 | + | 4.93058i | −0.189358 | + | 0.327977i | ||||
\(227\) | −2.71470 | − | 4.70200i | −0.180181 | − | 0.312082i | 0.761761 | − | 0.647858i | \(-0.224335\pi\) |
−0.941942 | + | 0.335776i | \(0.891002\pi\) | |||||||
\(228\) | 12.0163 | − | 2.54093i | 0.795797 | − | 0.168277i | ||||
\(229\) | 12.4482 | + | 7.18699i | 0.822602 | + | 0.474930i | 0.851313 | − | 0.524658i | \(-0.175807\pi\) |
−0.0287108 | + | 0.999588i | \(0.509140\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.3131 | − | 12.9541i | 0.875939 | − | 0.852320i | ||||
\(232\) | 2.70114 | 0.177339 | ||||||||
\(233\) | 7.30101 | + | 4.21524i | 0.478305 | + | 0.276150i | 0.719710 | − | 0.694275i | \(-0.244275\pi\) |
−0.241405 | + | 0.970425i | \(0.577608\pi\) | |||||||
\(234\) | 0.869006 | − | 8.10400i | 0.0568087 | − | 0.529775i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −8.97062 | + | 15.5376i | −0.583938 | + | 1.01141i | ||||
\(237\) | 6.17959 | + | 2.01506i | 0.401407 | + | 0.130892i | ||||
\(238\) | −3.71032 | + | 0.147548i | −0.240505 | + | 0.00956411i | ||||
\(239\) | 2.71852i | 0.175847i | 0.996127 | + | 0.0879233i | \(0.0280230\pi\) | ||||
−0.996127 | + | 0.0879233i | \(0.971977\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.32457 | + | 0.764739i | −0.0853229 | + | 0.0492612i | −0.542054 | − | 0.840343i | \(-0.682353\pi\) |
0.456732 | + | 0.889605i | \(0.349020\pi\) | |||||||
\(242\) | 3.03271 | − | 1.75094i | 0.194950 | − | 0.112555i | ||||
\(243\) | 13.4588 | + | 7.86512i | 0.863384 | + | 0.504548i | ||||
\(244\) | − | 11.0756i | − | 0.709045i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.789324 | − | 2.42062i | 0.0503255 | − | 0.154333i | ||||
\(247\) | −9.42959 | + | 16.3325i | −0.599991 | + | 1.03921i | ||||
\(248\) | 0.452486 | + | 0.783728i | 0.0287329 | + | 0.0497668i | ||||
\(249\) | 1.89006 | + | 8.93825i | 0.119778 | + | 0.566439i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.81039 | −0.556107 | −0.278054 | − | 0.960566i | \(-0.589689\pi\) | ||||
−0.278054 | + | 0.960566i | \(0.589689\pi\) | |||||||
\(252\) | −7.00297 | + | 10.4438i | −0.441146 | + | 0.657900i | ||||
\(253\) | −2.61372 | −0.164323 | ||||||||
\(254\) | 8.83694 | + | 5.10201i | 0.554479 | + | 0.320128i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.93311 | + | 6.81234i | 0.245819 | + | 0.425771i | ||||
\(257\) | 10.0517 | − | 17.4101i | 0.627011 | − | 1.08601i | −0.361138 | − | 0.932512i | \(-0.617612\pi\) |
0.988148 | − | 0.153502i | \(-0.0490551\pi\) | |||||||
\(258\) | −2.26585 | + | 6.94869i | −0.141066 | + | 0.432607i | ||||
\(259\) | 9.98546 | + | 5.24754i | 0.620466 | + | 0.326066i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.41938 | − | 3.20613i | −0.0878577 | − | 0.198454i | ||||
\(262\) | 9.24533 | − | 5.33780i | 0.571179 | − | 0.329770i | ||||
\(263\) | −7.58568 | + | 4.37959i | −0.467753 | + | 0.270057i | −0.715299 | − | 0.698819i | \(-0.753709\pi\) |
0.247546 | + | 0.968876i | \(0.420376\pi\) | |||||||
\(264\) | −12.0698 | + | 10.8447i | −0.742845 | + | 0.667447i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −6.45608 | + | 4.07778i | −0.395848 | + | 0.250025i | ||||
\(267\) | −1.47341 | − | 0.480454i | −0.0901713 | − | 0.0294033i | ||||
\(268\) | 6.92100 | − | 11.9875i | 0.422767 | − | 0.732255i | ||||
\(269\) | 8.62438 | + | 14.9379i | 0.525838 | + | 0.910778i | 0.999547 | + | 0.0300966i | \(0.00958150\pi\) |
−0.473709 | + | 0.880681i | \(0.657085\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.6117 | + | 11.3228i | 1.19132 | + | 0.687812i | 0.958607 | − | 0.284733i | \(-0.0919048\pi\) |
0.232718 | + | 0.972544i | \(0.425238\pi\) | |||||||
\(272\) | −3.65280 | −0.221484 | ||||||||
\(273\) | −4.74200 | − | 18.7168i | −0.286999 | − | 1.13279i | ||||
\(274\) | −12.8069 | −0.773692 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.73104 | − | 0.366042i | 0.104197 | − | 0.0220331i | ||||
\(277\) | 6.60561 | + | 11.4413i | 0.396893 | + | 0.687438i | 0.993341 | − | 0.115213i | \(-0.0367552\pi\) |
−0.596448 | + | 0.802652i | \(0.703422\pi\) | |||||||
\(278\) | −0.0737548 | + | 0.127747i | −0.00442352 | + | 0.00766176i | ||||
\(279\) | 0.692477 | − | 0.948908i | 0.0414575 | − | 0.0568097i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 32.8703i | 1.96088i | 0.196817 | + | 0.980440i | \(0.436940\pi\) | ||||
−0.196817 | + | 0.980440i | \(0.563060\pi\) | |||||||
\(282\) | 5.82324 | + | 6.48106i | 0.346769 | + | 0.385942i | ||||
\(283\) | −13.6932 | + | 7.90575i | −0.813974 | + | 0.469948i | −0.848334 | − | 0.529462i | \(-0.822394\pi\) |
0.0343601 | + | 0.999410i | \(0.489061\pi\) | |||||||
\(284\) | −11.1647 | + | 6.44594i | −0.662503 | + | 0.382496i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 11.0126i | − | 0.651191i | ||||||
\(287\) | −0.239666 | − | 6.02679i | −0.0141471 | − | 0.355750i | ||||
\(288\) | 10.0880 | − | 13.8236i | 0.594439 | − | 0.814566i | ||||
\(289\) | 6.13122 | − | 10.6196i | 0.360660 | − | 0.624682i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.60832 | + | 1.39738i | −0.387387 | + | 0.0819158i | ||||
\(292\) | −7.18485 | − | 4.14818i | −0.420462 | − | 0.242754i | ||||
\(293\) | 20.7797 | 1.21396 | 0.606982 | − | 0.794716i | \(-0.292380\pi\) | ||||
0.606982 | + | 0.794716i | \(0.292380\pi\) | |||||||
\(294\) | 1.82580 | − | 7.60166i | 0.106483 | − | 0.443338i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −8.53351 | − | 4.92683i | −0.496000 | − | 0.286366i | ||||
\(297\) | 19.2145 | + | 8.62762i | 1.11494 | + | 0.500625i | ||||
\(298\) | −3.21068 | − | 5.56105i | −0.185989 | − | 0.322143i | ||||
\(299\) | −1.35841 | + | 2.35284i | −0.0785589 | + | 0.136068i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.687991 | + | 17.3006i | 0.0396552 | + | 0.997191i | ||||
\(302\) | 3.27204i | 0.188285i | ||||||||
\(303\) | −8.48241 | + | 7.62146i | −0.487302 | + | 0.437841i | ||||
\(304\) | −6.50535 | + | 3.75587i | −0.373108 | + | 0.215414i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.70444 | − | 3.85002i | −0.0974366 | − | 0.220091i | ||||
\(307\) | − | 12.9857i | − | 0.741136i | −0.928805 | − | 0.370568i | \(-0.879163\pi\) | ||
0.928805 | − | 0.370568i | \(-0.120837\pi\) | |||||||
\(308\) | −7.90369 | + | 15.0398i | −0.450355 | + | 0.856973i | ||||
\(309\) | −5.27001 | + | 16.1616i | −0.299800 | + | 0.919399i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.228825 | − | 0.396337i | −0.0129755 | − | 0.0224742i | 0.859465 | − | 0.511195i | \(-0.170797\pi\) |
−0.872440 | + | 0.488721i | \(0.837464\pi\) | |||||||
\(312\) | 3.48932 | + | 16.5013i | 0.197544 | + | 0.934202i | ||||
\(313\) | −24.0252 | − | 13.8710i | −1.35799 | − | 0.784033i | −0.368633 | − | 0.929575i | \(-0.620174\pi\) |
−0.989352 | + | 0.145542i | \(0.953507\pi\) | |||||||
\(314\) | −10.8673 | −0.613276 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.94509 | −0.334437 | ||||||||
\(317\) | −3.91737 | − | 2.26170i | −0.220022 | − | 0.127030i | 0.385939 | − | 0.922524i | \(-0.373878\pi\) |
−0.605960 | + | 0.795495i | \(0.707211\pi\) | |||||||
\(318\) | −1.66393 | − | 7.86888i | −0.0933087 | − | 0.441265i | ||||
\(319\) | −2.36878 | − | 4.10284i | −0.132626 | − | 0.229715i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −10.0839 | + | 30.9244i | −0.562830 | + | 1.72603i | ||||
\(322\) | −0.930052 | + | 0.587438i | −0.0518297 | + | 0.0327366i | ||||
\(323\) | 9.74245i | 0.542084i | ||||||||
\(324\) | −13.9339 | − | 3.02306i | −0.774103 | − | 0.167948i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.68428 | − | 1.54977i | 0.148668 | − | 0.0858337i | ||||
\(327\) | −1.16728 | + | 1.04880i | −0.0645508 | + | 0.0579989i | ||||
\(328\) | 5.26871i | 0.290916i | ||||||||
\(329\) | 18.2712 | + | 9.60185i | 1.00732 | + | 0.529367i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.4482 | − | 19.8289i | 0.629252 | − | 1.08990i | −0.358451 | − | 0.933549i | \(-0.616695\pi\) |
0.987702 | − | 0.156347i | \(-0.0499718\pi\) | |||||||
\(332\) | −4.17809 | − | 7.23666i | −0.229302 | − | 0.397163i | ||||
\(333\) | −1.36375 | + | 12.7178i | −0.0747330 | + | 0.696931i | ||||
\(334\) | −2.48546 | − | 1.43498i | −0.135998 | − | 0.0785186i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.09180 | − | 7.40063i | 0.114117 | − | 0.403738i | ||||
\(337\) | −31.2616 | −1.70293 | −0.851464 | − | 0.524413i | \(-0.824285\pi\) | ||||
−0.851464 | + | 0.524413i | \(0.824285\pi\) | |||||||
\(338\) | −2.65398 | − | 1.53228i | −0.144358 | − | 0.0833449i | ||||
\(339\) | −14.9624 | + | 3.16390i | −0.812644 | + | 0.171840i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.793618 | − | 1.37459i | 0.0429768 | − | 0.0744380i | ||||
\(342\) | −6.99413 | − | 5.10405i | −0.378199 | − | 0.275995i | ||||
\(343\) | −2.20308 | − | 18.3888i | −0.118955 | − | 0.992900i | ||||
\(344\) | − | 15.1245i | − | 0.815457i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.39623 | − | 3.69287i | 0.343864 | − | 0.198530i | ||||
\(347\) | −2.41336 | + | 1.39335i | −0.129556 | + | 0.0747992i | −0.563377 | − | 0.826200i | \(-0.690498\pi\) |
0.433821 | + | 0.900999i | \(0.357165\pi\) | |||||||
\(348\) | 2.14340 | + | 2.38553i | 0.114899 | + | 0.127878i | ||||
\(349\) | − | 16.5636i | − | 0.886627i | −0.896367 | − | 0.443314i | \(-0.853803\pi\) | ||
0.896367 | − | 0.443314i | \(-0.146197\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.7527 | − | 12.8127i | 0.947568 | − | 0.683890i | ||||
\(352\) | 11.5614 | − | 20.0249i | 0.616223 | − | 1.06733i | ||||
\(353\) | 1.63849 | + | 2.83794i | 0.0872078 | + | 0.151048i | 0.906330 | − | 0.422571i | \(-0.138872\pi\) |
−0.819122 | + | 0.573619i | \(0.805539\pi\) | |||||||
\(354\) | 12.3745 | − | 2.61667i | 0.657695 | − | 0.139075i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.41750 | 0.0751273 | ||||||||
\(357\) | −6.95592 | − | 7.14869i | −0.368147 | − | 0.378349i | ||||
\(358\) | 6.73469 | 0.355939 | ||||||||
\(359\) | −14.7282 | − | 8.50335i | −0.777326 | − | 0.448789i | 0.0581557 | − | 0.998308i | \(-0.481478\pi\) |
−0.835482 | + | 0.549518i | \(0.814811\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.517332 | + | 0.896045i | 0.0272280 | + | 0.0471603i | ||||
\(362\) | 3.85644 | − | 6.67955i | 0.202690 | − | 0.351069i | ||||
\(363\) | 8.94314 | + | 2.91620i | 0.469393 | + | 0.153061i | ||||
\(364\) | 9.43090 | + | 14.9313i | 0.494313 | + | 0.782614i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −5.80799 | + | 5.21849i | −0.303588 | + | 0.272775i | ||||
\(367\) | 14.8236 | − | 8.55840i | 0.773785 | − | 0.446745i | −0.0604381 | − | 0.998172i | \(-0.519250\pi\) |
0.834223 | + | 0.551427i | \(0.185916\pi\) | |||||||
\(368\) | −0.937149 | + | 0.541063i | −0.0488523 | + | 0.0282049i | ||||
\(369\) | 6.25370 | − | 2.76858i | 0.325555 | − | 0.144126i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.1748 | − | 16.1091i | −0.528249 | − | 0.836342i | ||||
\(372\) | −0.333100 | + | 1.02152i | −0.0172704 | + | 0.0529632i | ||||
\(373\) | −14.4567 | + | 25.0397i | −0.748538 | + | 1.29651i | 0.199986 | + | 0.979799i | \(0.435910\pi\) |
−0.948524 | + | 0.316706i | \(0.897423\pi\) | |||||||
\(374\) | −2.84450 | − | 4.92683i | −0.147086 | − | 0.254760i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.6145 | − | 9.01502i | −0.805255 | − | 0.464914i | ||||
\(377\) | −4.92442 | −0.253621 | ||||||||
\(378\) | 8.77626 | − | 1.24849i | 0.451402 | − | 0.0642156i | ||||
\(379\) | 0.559557 | 0.0287425 | 0.0143712 | − | 0.999897i | \(-0.495425\pi\) | ||||
0.0143712 | + | 0.999897i | \(0.495425\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.67057 | + | 26.8166i | 0.290512 | + | 1.37386i | ||||
\(382\) | −4.56125 | − | 7.90031i | −0.233374 | − | 0.404215i | ||||
\(383\) | −1.89920 | + | 3.28951i | −0.0970447 | + | 0.168086i | −0.910460 | − | 0.413597i | \(-0.864272\pi\) |
0.813415 | + | 0.581683i | \(0.197606\pi\) | |||||||
\(384\) | −6.01470 | + | 18.4453i | −0.306937 | + | 0.941284i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 3.99220i | − | 0.203198i | ||||||
\(387\) | −17.9520 | + | 7.94754i | −0.912552 | + | 0.403996i | ||||
\(388\) | 5.35029 | − | 3.08899i | 0.271620 | − | 0.156820i | ||||
\(389\) | 7.88909 | − | 4.55477i | 0.399993 | − | 0.230936i | −0.286488 | − | 0.958084i | \(-0.592488\pi\) |
0.686481 | + | 0.727148i | \(0.259155\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.40348i | 0.0709770i | ||||||||
\(392\) | 1.28466 | + | 16.1268i | 0.0648850 | + | 0.814527i | ||||
\(393\) | 27.2635 | + | 8.89016i | 1.37526 | + | 0.448449i | ||||
\(394\) | −4.21545 | + | 7.30137i | −0.212371 | + | 0.367838i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −19.1552 | − | 2.05404i | −0.962584 | − | 0.103219i | ||||
\(397\) | 20.9910 | + | 12.1191i | 1.05351 | + | 0.608242i | 0.923629 | − | 0.383288i | \(-0.125208\pi\) |
0.129878 | + | 0.991530i | \(0.458542\pi\) | |||||||
\(398\) | −10.9309 | −0.547914 | ||||||||
\(399\) | −19.7383 | − | 5.57906i | −0.988153 | − | 0.279302i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 26.1500 | + | 15.0977i | 1.30587 | + | 0.753944i | 0.981404 | − | 0.191953i | \(-0.0614821\pi\) |
0.324466 | + | 0.945897i | \(0.394815\pi\) | |||||||
\(402\) | −9.54713 | + | 2.01881i | −0.476167 | + | 0.100689i | ||||
\(403\) | −0.824921 | − | 1.42881i | −0.0410923 | − | 0.0711739i | ||||
\(404\) | 5.21509 | − | 9.03279i | 0.259460 | − | 0.449398i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.76501 | − | 0.927545i | −0.0875960 | − | 0.0460333i | ||||
\(407\) | 17.2824i | 0.856656i | ||||||||
\(408\) | 5.82324 | + | 6.48106i | 0.288294 | + | 0.320860i | ||||
\(409\) | 21.3618 | − | 12.3332i | 1.05627 | − | 0.609839i | 0.131874 | − | 0.991267i | \(-0.457901\pi\) |
0.924399 | + | 0.381427i | \(0.124567\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −22.9921 | − | 25.5894i | −1.13412 | − | 1.26223i | ||||
\(412\) | − | 15.5483i | − | 0.766008i | ||||||
\(413\) | 25.3329 | − | 16.0007i | 1.24655 | − | 0.787344i | ||||
\(414\) | −1.00756 | − | 0.735280i | −0.0495189 | − | 0.0361370i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −12.0174 | − | 20.8148i | −0.589202 | − | 1.02053i | ||||
\(417\) | −0.387662 | + | 0.0819740i | −0.0189839 | + | 0.00401428i | ||||
\(418\) | −10.1317 | − | 5.84953i | −0.495556 | − | 0.286110i | ||||
\(419\) | 39.4615 | 1.92782 | 0.963911 | − | 0.266226i | \(-0.0857766\pi\) | ||||
0.963911 | + | 0.266226i | \(0.0857766\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.9363 | −1.50774 | −0.753870 | − | 0.657023i | \(-0.771815\pi\) | ||||
−0.753870 | + | 0.657023i | \(0.771815\pi\) | |||||||
\(422\) | −10.2921 | − | 5.94218i | −0.501014 | − | 0.289261i | ||||
\(423\) | −2.49536 | + | 23.2708i | −0.121329 | + | 1.13146i | ||||
\(424\) | 8.32178 | + | 14.4137i | 0.404141 | + | 0.699993i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 8.64066 | + | 2.81757i | 0.418641 | + | 0.136512i | ||||
\(427\) | −8.60467 | + | 16.3737i | −0.416409 | + | 0.792379i | ||||
\(428\) | − | 29.7509i | − | 1.43807i | ||||||
\(429\) | 22.0043 | − | 19.7709i | 1.06238 | − | 0.954548i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 26.6240 | − | 15.3713i | 1.28243 | − | 0.740412i | 0.305138 | − | 0.952308i | \(-0.401297\pi\) |
0.977292 | + | 0.211896i | \(0.0679639\pi\) | |||||||
\(432\) | 8.67536 | − | 0.884148i | 0.417393 | − | 0.0425386i | ||||
\(433\) | − | 2.95856i | − | 0.142179i | −0.997470 | − | 0.0710896i | \(-0.977352\pi\) | ||
0.997470 | − | 0.0710896i | \(-0.0226476\pi\) | |||||||
\(434\) | −0.0265440 | − | 0.667491i | −0.00127415 | − | 0.0320406i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.717658 | − | 1.24302i | 0.0343696 | − | 0.0595298i | ||||
\(437\) | 1.44308 | + | 2.49949i | 0.0690318 | + | 0.119567i | ||||
\(438\) | 1.21000 | + | 5.72217i | 0.0578159 | + | 0.273416i | ||||
\(439\) | −15.0772 | − | 8.70485i | −0.719598 | − | 0.415460i | 0.0950070 | − | 0.995477i | \(-0.469713\pi\) |
−0.814605 | + | 0.580017i | \(0.803046\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.4667 | − | 9.99907i | 0.879366 | − | 0.476146i | ||||
\(442\) | −5.91341 | −0.281272 | ||||||||
\(443\) | −27.5344 | − | 15.8970i | −1.30820 | − | 0.755288i | −0.326403 | − | 0.945231i | \(-0.605837\pi\) |
−0.981795 | + | 0.189942i | \(0.939170\pi\) | |||||||
\(444\) | −2.42033 | − | 11.4460i | −0.114864 | − | 0.543201i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.202281 | + | 0.350362i | −0.00957830 | + | 0.0165901i | ||||
\(447\) | 5.34741 | − | 16.3989i | 0.252924 | − | 0.775643i | ||||
\(448\) | −0.0338286 | − | 0.850674i | −0.00159825 | − | 0.0401906i | ||||
\(449\) | − | 2.99461i | − | 0.141324i | −0.997500 | − | 0.0706621i | \(-0.977489\pi\) | ||
0.997500 | − | 0.0706621i | \(-0.0225112\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.00279 | − | 4.62041i | 0.376837 | − | 0.217567i | ||||
\(452\) | 12.1140 | − | 6.99400i | 0.569793 | − | 0.328970i | ||||
\(453\) | −6.53784 | + | 5.87426i | −0.307175 | + | 0.275997i | ||||
\(454\) | − | 3.50091i | − | 0.164306i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 17.0347 | + | 5.55471i | 0.797721 | + | 0.260123i | ||||
\(457\) | 4.40252 | − | 7.62540i | 0.205941 | − | 0.356701i | −0.744491 | − | 0.667633i | \(-0.767308\pi\) |
0.950432 | + | 0.310932i | \(0.100641\pi\) | |||||||
\(458\) | 4.63421 | + | 8.02669i | 0.216543 | + | 0.375063i | ||||
\(459\) | 4.63273 | − | 10.3175i | 0.216237 | − | 0.481582i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 31.9710 | 1.48904 | 0.744519 | − | 0.667602i | \(-0.232679\pi\) | ||||
0.744519 | + | 0.667602i | \(0.232679\pi\) | |||||||
\(462\) | 11.6107 | − | 2.94164i | 0.540181 | − | 0.136857i | ||||
\(463\) | −6.94495 | −0.322759 | −0.161380 | − | 0.986892i | \(-0.551594\pi\) | ||||
−0.161380 | + | 0.986892i | \(0.551594\pi\) | |||||||
\(464\) | −1.69865 | − | 0.980715i | −0.0788577 | − | 0.0455285i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.71801 | + | 4.70774i | 0.125910 | + | 0.218082i | ||||
\(467\) | −12.2366 | + | 21.1944i | −0.566241 | + | 0.980758i | 0.430692 | + | 0.902499i | \(0.358269\pi\) |
−0.996933 | + | 0.0782589i | \(0.975064\pi\) | |||||||
\(468\) | −11.8044 | + | 16.1757i | −0.545658 | + | 0.747721i | ||||
\(469\) | −19.5448 | + | 12.3449i | −0.902495 | + | 0.570032i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.5099 | − | 21.7139i | −0.898970 | − | 1.00052i | ||||
\(472\) | −22.6668 | + | 13.0867i | −1.04332 | + | 0.602364i | ||||
\(473\) | −22.9730 | + | 13.2635i | −1.05630 | + | 0.609854i | ||||
\(474\) | 2.80113 | + | 3.11756i | 0.128660 | + | 0.143194i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 8.07586 | + | 4.24401i | 0.370157 | + | 0.194524i | ||||
\(477\) | 12.7355 | − | 17.4516i | 0.583119 | − | 0.799054i | ||||
\(478\) | −0.876459 | + | 1.51807i | −0.0400883 | + | 0.0694350i | ||||
\(479\) | 12.1451 | + | 21.0359i | 0.554923 | + | 0.961156i | 0.997909 | + | 0.0646271i | \(0.0205858\pi\) |
−0.442986 | + | 0.896529i | \(0.646081\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.5573 | + | 8.98204i | 0.709354 | + | 0.409546i | ||||
\(482\) | −0.986217 | −0.0449209 | ||||||||
\(483\) | −2.84347 | − | 0.803709i | −0.129382 | − | 0.0365700i | ||||
\(484\) | −8.60377 | −0.391080 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.97991 | + | 8.73119i | 0.225893 | + | 0.396055i | ||||
\(487\) | −4.87823 | − | 8.44934i | −0.221054 | − | 0.382876i | 0.734075 | − | 0.679069i | \(-0.237616\pi\) |
−0.955128 | + | 0.296193i | \(0.904283\pi\) | |||||||
\(488\) | 8.07879 | − | 13.9929i | 0.365710 | − | 0.633427i | ||||
\(489\) | 7.91563 | + | 2.58115i | 0.357957 | + | 0.116724i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 23.6689i | − | 1.06816i | −0.845434 | − | 0.534080i | \(-0.820658\pi\) | ||
0.845434 | − | 0.534080i | \(-0.179342\pi\) | |||||||
\(492\) | −4.65310 | + | 4.18081i | −0.209778 | + | 0.188486i | ||||
\(493\) | −2.20308 | + | 1.27195i | −0.0992219 | + | 0.0572858i | ||||
\(494\) | −10.5313 | + | 6.08026i | −0.473826 | + | 0.273564i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 0.657143i | − | 0.0295066i | ||||||
\(497\) | 21.5132 | − | 0.855513i | 0.965000 | − | 0.0383750i | ||||
\(498\) | −1.82627 | + | 5.60064i | −0.0818373 | + | 0.250971i | ||||
\(499\) | −5.73534 | + | 9.93391i | −0.256749 | + | 0.444703i | −0.965369 | − | 0.260888i | \(-0.915985\pi\) |
0.708620 | + | 0.705590i | \(0.249318\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.59489 | − | 7.54238i | −0.0712545 | − | 0.336969i | ||||
\(502\) | −4.91988 | − | 2.84050i | −0.219585 | − | 0.126778i | ||||
\(503\) | 16.8580 | 0.751659 | 0.375830 | − | 0.926689i | \(-0.377358\pi\) | ||||
0.375830 | + | 0.926689i | \(0.377358\pi\) | |||||||
\(504\) | −16.4654 | + | 8.08656i | −0.733429 | + | 0.360204i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.45955 | − | 0.842672i | −0.0648849 | − | 0.0374613i | ||||
\(507\) | −1.70303 | − | 8.05379i | −0.0756343 | − | 0.357681i | ||||
\(508\) | −12.5351 | − | 21.7115i | −0.556157 | − | 0.963292i | ||||
\(509\) | 1.47582 | − | 2.55620i | 0.0654147 | − | 0.113302i | −0.831463 | − | 0.555580i | \(-0.812496\pi\) |
0.896878 | + | 0.442278i | \(0.145830\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.39902 | + | 11.7144i | 0.327313 | + | 0.518214i | ||||
\(512\) | − | 17.3304i | − | 0.765902i | ||||||
\(513\) | −2.35812 | − | 23.1382i | −0.104114 | − | 1.02158i | ||||
\(514\) | 11.2262 | − | 6.48142i | 0.495164 | − | 0.285883i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 13.3573 | − | 12.0015i | 0.588021 | − | 0.528338i | ||||
\(517\) | 31.6230i | 1.39078i | ||||||||
\(518\) | 3.88424 | + | 6.14966i | 0.170664 | + | 0.270201i | ||||
\(519\) | 18.8618 | + | 6.15051i | 0.827941 | + | 0.269977i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.91563 | − | 13.7103i | −0.346790 | − | 0.600658i | 0.638887 | − | 0.769300i | \(-0.279395\pi\) |
−0.985677 | + | 0.168642i | \(0.946062\pi\) | |||||||
\(522\) | 0.241054 | − | 2.24797i | 0.0105506 | − | 0.0983911i | ||||
\(523\) | 19.0179 | + | 10.9800i | 0.831595 | + | 0.480122i | 0.854398 | − | 0.519618i | \(-0.173926\pi\) |
−0.0228034 | + | 0.999740i | \(0.507259\pi\) | |||||||
\(524\) | −26.2289 | −1.14581 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.64798 | −0.246263 | ||||||||
\(527\) | −0.738105 | − | 0.426145i | −0.0321524 | − | 0.0185632i | ||||
\(528\) | 11.5277 | − | 2.43761i | 0.501678 | − | 0.106083i | ||||
\(529\) | −11.2921 | − | 19.5585i | −0.490961 | − | 0.850370i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 27.4441 | + | 20.0277i | 1.19097 | + | 0.869126i | ||||
\(532\) | 18.7462 | − | 0.745479i | 0.812752 | − | 0.0323206i | ||||
\(533\) | − | 9.60532i | − | 0.416053i | ||||||
\(534\) | −0.667880 | − | 0.743327i | −0.0289020 | − | 0.0321669i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 17.4879 | − | 10.0966i | 0.755361 | − | 0.436108i | ||||
\(537\) | 12.0907 | + | 13.4565i | 0.521753 | + | 0.580693i | ||||
\(538\) | 11.1221i | 0.479508i | ||||||||
\(539\) | 23.3689 | − | 16.0938i | 1.00657 | − | 0.693208i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.34667 | + | 4.06456i | −0.100891 | + | 0.174749i | −0.912052 | − | 0.410074i | \(-0.865503\pi\) |
0.811161 | + | 0.584823i | \(0.198836\pi\) | |||||||
\(542\) | 7.30101 | + | 12.6457i | 0.313605 | + | 0.543181i | ||||
\(543\) | 20.2698 | − | 4.28620i | 0.869860 | − | 0.183938i | ||||
\(544\) | −10.7527 | − | 6.20806i | −0.461017 | − | 0.266168i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 3.38634 | − | 11.9807i | 0.144922 | − | 0.512725i | ||||
\(547\) | 14.9485 | 0.639151 | 0.319575 | − | 0.947561i | \(-0.396460\pi\) | ||||
0.319575 | + | 0.947561i | \(0.396460\pi\) | |||||||
\(548\) | 27.2497 | + | 15.7326i | 1.16405 | + | 0.672065i | ||||
\(549\) | −20.8541 | − | 2.23622i | −0.890029 | − | 0.0954393i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.61568 | + | 4.53049i | −0.111432 | + | 0.193005i | ||||
\(552\) | 2.45398 | + | 0.800202i | 0.104448 | + | 0.0340589i | ||||
\(553\) | 8.78893 | + | 4.61874i | 0.373743 | + | 0.196409i | ||||
\(554\) | 8.51867i | 0.361924i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.313862 | − | 0.181208i | 0.0133107 | − | 0.00768494i | ||||
\(557\) | −1.06435 | + | 0.614501i | −0.0450979 | + | 0.0260373i | −0.522379 | − | 0.852713i | \(-0.674956\pi\) |
0.477282 | + | 0.878750i | \(0.341622\pi\) | |||||||
\(558\) | 0.692623 | − | 0.306631i | 0.0293211 | − | 0.0129807i | ||||
\(559\) | 27.5732i | 1.16622i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.73755 | − | 14.5287i | 0.200020 | − | 0.613401i | ||||
\(562\) | −10.5975 | + | 18.3554i | −0.447028 | + | 0.774276i | ||||
\(563\) | 2.10379 | + | 3.64387i | 0.0886643 | + | 0.153571i | 0.906947 | − | 0.421245i | \(-0.138407\pi\) |
−0.818282 | + | 0.574816i | \(0.805074\pi\) | |||||||
\(564\) | −4.42868 | − | 20.9436i | −0.186481 | − | 0.881884i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −10.1953 | −0.428542 | ||||||||
\(567\) | 18.2505 | + | 15.2944i | 0.766450 | + | 0.642303i | ||||
\(568\) | −18.8072 | −0.789132 | ||||||||
\(569\) | 22.3139 | + | 12.8829i | 0.935447 | + | 0.540081i | 0.888530 | − | 0.458818i | \(-0.151727\pi\) |
0.0469169 | + | 0.998899i | \(0.485060\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.3419 | − | 21.3768i | −0.516492 | − | 0.894591i | −0.999817 | − | 0.0191497i | \(-0.993904\pi\) |
0.483324 | − | 0.875441i | \(-0.339429\pi\) | |||||||
\(572\) | −13.5285 | + | 23.4320i | −0.565655 | + | 0.979743i | ||||
\(573\) | 7.59681 | − | 23.2972i | 0.317361 | − | 0.973253i | ||||
\(574\) | 1.80922 | − | 3.44274i | 0.0755154 | − | 0.143697i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.882703 | − | 0.390782i | 0.0367793 | − | 0.0162826i | ||||
\(577\) | 4.96565 | − | 2.86692i | 0.206723 | − | 0.119351i | −0.393065 | − | 0.919511i | \(-0.628585\pi\) |
0.599787 | + | 0.800159i | \(0.295252\pi\) | |||||||
\(578\) | 6.84757 | − | 3.95345i | 0.284822 | − | 0.164442i | ||||
\(579\) | 7.97680 | − | 7.16716i | 0.331504 | − | 0.297857i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.554521 | + | 13.9443i | 0.0230054 | + | 0.578507i | ||||
\(582\) | −4.14073 | − | 1.35022i | −0.171639 | − | 0.0559684i | ||||
\(583\) | 14.5956 | − | 25.2804i | 0.604489 | − | 1.04701i | ||||
\(584\) | −6.05152 | − | 10.4815i | −0.250414 | − | 0.433729i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.6038 | + | 6.69944i | 0.479347 | + | 0.276751i | ||||
\(587\) | 31.0435 | 1.28130 | 0.640652 | − | 0.767832i | \(-0.278664\pi\) | ||||
0.640652 | + | 0.767832i | \(0.278664\pi\) | |||||||
\(588\) | −13.2231 | + | 13.9315i | −0.545312 | + | 0.574524i | ||||
\(589\) | −1.75268 | −0.0722178 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −22.1568 | + | 4.68522i | −0.911408 | + | 0.192724i | ||||
\(592\) | 3.57760 | + | 6.19659i | 0.147039 | + | 0.254678i | ||||
\(593\) | −16.2884 | + | 28.2124i | −0.668885 | + | 1.15854i | 0.309331 | + | 0.950954i | \(0.399895\pi\) |
−0.978216 | + | 0.207588i | \(0.933439\pi\) | |||||||
\(594\) | 7.94818 | + | 11.0126i | 0.326118 | + | 0.451854i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 15.7766i | 0.646236i | ||||||||
\(597\) | −19.6241 | − | 21.8409i | −0.803159 | − | 0.893888i | ||||
\(598\) | −1.51712 | + | 0.875911i | −0.0620397 | + | 0.0358187i | ||||
\(599\) | −31.8553 | + | 18.3917i | −1.30157 | + | 0.751463i | −0.980674 | − | 0.195650i | \(-0.937318\pi\) |
−0.320899 | + | 0.947113i | \(0.603985\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 42.5075i | − | 1.73392i | −0.498380 | − | 0.866959i | \(-0.666071\pi\) | ||
0.498380 | − | 0.866959i | \(-0.333929\pi\) | |||||||
\(602\) | −5.19358 | + | 9.88279i | −0.211675 | + | 0.402793i | ||||
\(603\) | −21.1736 | − | 15.4517i | −0.862257 | − | 0.629242i | ||||
\(604\) | 4.01954 | − | 6.96205i | 0.163553 | − | 0.283282i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −7.19392 | + | 1.52121i | −0.292233 | + | 0.0617948i | ||||
\(607\) | −14.6810 | − | 8.47607i | −0.595883 | − | 0.344033i | 0.171537 | − | 0.985178i | \(-0.445127\pi\) |
−0.767420 | + | 0.641144i | \(0.778460\pi\) | |||||||
\(608\) | −25.5329 | −1.03550 | ||||||||
\(609\) | −1.31538 | − | 5.19187i | −0.0533021 | − | 0.210385i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 28.4666 | + | 16.4352i | 1.15163 | + | 0.664896i | ||||
\(612\) | −1.10295 | + | 10.2857i | −0.0445841 | + | 0.415774i | ||||
\(613\) | 17.3421 | + | 30.0373i | 0.700439 | + | 1.21320i | 0.968312 | + | 0.249742i | \(0.0803459\pi\) |
−0.267873 | + | 0.963454i | \(0.586321\pi\) | |||||||
\(614\) | 4.18664 | − | 7.25148i | 0.168959 | − | 0.292646i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −20.9558 | + | 13.2361i | −0.844333 | + | 0.533296i | ||||
\(617\) | − | 45.7116i | − | 1.84028i | −0.391590 | − | 0.920140i | \(-0.628075\pi\) | ||
0.391590 | − | 0.920140i | \(-0.371925\pi\) | |||||||
\(618\) | −8.15340 | + | 7.32584i | −0.327978 | + | 0.294689i | ||||
\(619\) | 34.2356 | − | 19.7659i | 1.37604 | − | 0.794459i | 0.384363 | − | 0.923182i | \(-0.374421\pi\) |
0.991681 | + | 0.128723i | \(0.0410877\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.339707 | − | 3.33324i | −0.0136320 | − | 0.133758i | ||||
\(622\) | − | 0.295096i | − | 0.0118323i | ||||||
\(623\) | −2.09556 | − | 1.10126i | −0.0839570 | − | 0.0441209i | ||||
\(624\) | 3.79689 | − | 11.6439i | 0.151997 | − | 0.466130i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −8.94408 | − | 15.4916i | −0.357477 | − | 0.619169i | ||||
\(627\) | −6.50139 | − | 30.7456i | −0.259641 | − | 1.22786i | ||||
\(628\) | 23.1228 | + | 13.3499i | 0.922698 | + | 0.532720i | ||||
\(629\) | 9.28004 | 0.370020 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.1685 | −0.842703 | −0.421351 | − | 0.906897i | \(-0.638444\pi\) | ||||
−0.421351 | + | 0.906897i | \(0.638444\pi\) | |||||||
\(632\) | −7.51097 | − | 4.33646i | −0.298770 | − | 0.172495i | ||||
\(633\) | −6.60437 | − | 31.2326i | −0.262500 | − | 1.24139i | ||||
\(634\) | −1.45835 | − | 2.52594i | −0.0579187 | − | 0.100318i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.12612 | + | 18.7870i | −0.242916 | + | 0.744952i | ||||
\(637\) | −2.34204 | − | 29.4006i | −0.0927951 | − | 1.16489i | ||||
\(638\) | − | 3.05480i | − | 0.120941i | ||||||
\(639\) | 9.88271 | + | 22.3232i | 0.390954 | + | 0.883092i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −30.6083 | + | 17.6717i | −1.20896 | + | 0.697991i | −0.962531 | − | 0.271171i | \(-0.912589\pi\) |
−0.246424 | + | 0.969162i | \(0.579256\pi\) | |||||||
\(642\) | −15.6012 | + | 14.0177i | −0.615730 | + | 0.553234i | ||||
\(643\) | − | 26.0538i | − | 1.02746i | −0.857951 | − | 0.513731i | \(-0.828263\pi\) | ||
0.857951 | − | 0.513731i | \(-0.171737\pi\) | |||||||
\(644\) | 2.70055 | − | 0.107392i | 0.106416 | − | 0.00423185i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.14099 | + | 5.44036i | −0.123581 | + | 0.214048i | ||||
\(647\) | −20.4213 | − | 35.3707i | −0.802844 | − | 1.39057i | −0.917737 | − | 0.397188i | \(-0.869986\pi\) |
0.114894 | − | 0.993378i | \(-0.463347\pi\) | |||||||
\(648\) | −15.3988 | − | 13.9829i | −0.604924 | − | 0.549302i | ||||
\(649\) | 39.7555 | + | 22.9528i | 1.56054 | + | 0.900977i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.28606 | − | 1.25138i | 0.0504045 | − | 0.0490454i | ||||
\(652\) | −7.61525 | −0.298236 | ||||||||
\(653\) | −20.7918 | − | 12.0041i | −0.813645 | − | 0.469758i | 0.0345747 | − | 0.999402i | \(-0.488992\pi\) |
−0.848220 | + | 0.529644i | \(0.822326\pi\) | |||||||
\(654\) | −0.989968 | + | 0.209336i | −0.0387108 | + | 0.00818569i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.91293 | − | 3.31329i | 0.0746874 | − | 0.129362i | ||||
\(657\) | −9.26115 | + | 12.6906i | −0.361312 | + | 0.495109i | ||||
\(658\) | 7.10731 | + | 11.2525i | 0.277072 | + | 0.438670i | ||||
\(659\) | − | 38.7398i | − | 1.50909i | −0.656248 | − | 0.754545i | \(-0.727858\pi\) | ||
0.656248 | − | 0.754545i | \(-0.272142\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 44.0826 | − | 25.4511i | 1.71461 | − | 0.989933i | 0.786539 | − | 0.617541i | \(-0.211871\pi\) |
0.928075 | − | 0.372392i | \(-0.121462\pi\) | |||||||
\(662\) | 12.7858 | − | 7.38188i | 0.496934 | − | 0.286905i | ||||
\(663\) | −10.6163 | − | 11.8156i | −0.412302 | − | 0.458878i | ||||
\(664\) | − | 12.1903i | − | 0.473076i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.86179 | + | 6.66217i | −0.188391 | + | 0.258154i | ||||
\(667\) | −0.376810 | + | 0.652654i | −0.0145901 | + | 0.0252709i | ||||
\(668\) | 3.52560 | + | 6.10653i | 0.136410 | + | 0.236269i | ||||
\(669\) | −1.06321 | + | 0.224823i | −0.0411060 | + | 0.00869218i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −28.3389 | −1.09401 | ||||||||
\(672\) | 18.7352 | − | 18.2300i | 0.722726 | − | 0.703238i | ||||
\(673\) | −3.33192 | −0.128436 | −0.0642181 | − | 0.997936i | \(-0.520455\pi\) | ||||
−0.0642181 | + | 0.997936i | \(0.520455\pi\) | |||||||
\(674\) | −17.4570 | − | 10.0788i | −0.672420 | − | 0.388222i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.76466 | + | 6.52057i | 0.144794 | + | 0.250791i | ||||
\(677\) | −16.1861 | + | 28.0352i | −0.622083 | + | 1.07748i | 0.367014 | + | 0.930215i | \(0.380380\pi\) |
−0.989097 | + | 0.147264i | \(0.952953\pi\) | |||||||
\(678\) | −9.37531 | − | 3.05713i | −0.360057 | − | 0.117408i | ||||
\(679\) | −10.3094 | + | 0.409974i | −0.395640 | + | 0.0157334i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.99514 | − | 6.28515i | 0.268055 | − | 0.240847i | ||||
\(682\) | 0.886341 | − | 0.511729i | 0.0339398 | − | 0.0195951i | ||||
\(683\) | 18.8566 | − | 10.8868i | 0.721526 | − | 0.416573i | −0.0937881 | − | 0.995592i | \(-0.529898\pi\) |
0.815314 | + | 0.579019i | \(0.196564\pi\) | |||||||
\(684\) | 8.61162 | + | 19.4520i | 0.329273 | + | 0.743767i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 4.69835 | − | 10.9789i | 0.179384 | − | 0.419176i | ||||
\(687\) | −7.71833 | + | 23.6698i | −0.294473 | + | 0.903060i | ||||
\(688\) | −5.49130 | + | 9.51121i | −0.209354 | + | 0.362611i | ||||
\(689\) | −15.1713 | − | 26.2775i | −0.577982 | − | 1.00109i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.15554 | + | 2.97655i | 0.196126 | + | 0.113233i | 0.594847 | − | 0.803839i | \(-0.297213\pi\) |
−0.398721 | + | 0.917072i | \(0.630546\pi\) | |||||||
\(692\) | −18.1460 | −0.689809 | ||||||||
\(693\) | 26.7223 | + | 17.9183i | 1.01510 | + | 0.680659i | ||||
\(694\) | −1.79689 | −0.0682088 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0.967905 | + | 4.57730i | 0.0366883 | + | 0.173502i | ||||
\(697\) | −2.48100 | − | 4.29722i | −0.0939747 | − | 0.162769i | ||||
\(698\) | 5.34014 | − | 9.24939i | 0.202127 | − | 0.350095i | ||||
\(699\) | −4.52688 | + | 13.8826i | −0.171222 | + | 0.525088i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.3393i | 0.730434i | 0.930922 | + | 0.365217i | \(0.119005\pi\) | ||||
−0.930922 | + | 0.365217i | \(0.880995\pi\) | |||||||
\(702\) | 14.0443 | − | 1.43132i | 0.530067 | − | 0.0540217i | ||||
\(703\) | 16.5270 | − | 9.54188i | 0.623329 | − | 0.359879i | ||||
\(704\) | 1.12958 | − | 0.652166i | 0.0425728 | − | 0.0245794i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.11301i | 0.0795242i | ||||||||
\(707\) | −14.7273 | + | 9.30205i | −0.553878 | + | 0.349840i | ||||
\(708\) | −29.5441 | − | 9.63383i | −1.11034 | − | 0.362061i | ||||
\(709\) | −16.9012 | + | 29.2738i | −0.634739 | + | 1.09940i | 0.351831 | + | 0.936063i | \(0.385559\pi\) |
−0.986570 | + | 0.163337i | \(0.947774\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.20034 | + | 11.1939i | −0.0450161 | + | 0.419802i | ||||
\(712\) | 1.79086 | + | 1.03395i | 0.0671152 | + | 0.0387490i | ||||
\(713\) | −0.252487 | −0.00945573 | ||||||||
\(714\) | −1.57956 | − | 6.23457i | −0.0591134 | − | 0.233323i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −14.3297 | − | 8.27324i | −0.535525 | − | 0.309185i | ||||
\(717\) | −4.60675 | + | 0.974132i | −0.172042 | + | 0.0363796i | ||||
\(718\) | −5.48301 | − | 9.49685i | −0.204624 | − | 0.354419i | ||||
\(719\) | −13.7118 | + | 23.7495i | −0.511363 | + | 0.885707i | 0.488550 | + | 0.872536i | \(0.337526\pi\) |
−0.999913 | + | 0.0131713i | \(0.995807\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.0795 | + | 22.9858i | −0.449862 | + | 0.856036i | ||||
\(722\) | 0.667157i | 0.0248290i | ||||||||
\(723\) | −1.77055 | − | 1.97055i | −0.0658473 | − | 0.0732857i | ||||
\(724\) | −16.4110 | + | 9.47490i | −0.609910 | + | 0.352132i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 4.05382 | + | 4.51176i | 0.150451 | + | 0.167447i | ||||
\(727\) | 6.14612i | 0.227947i | 0.993484 | + | 0.113973i | \(0.0363579\pi\) | ||||
−0.993484 | + | 0.113973i | \(0.963642\pi\) | |||||||
\(728\) | 1.02372 | + | 25.7432i | 0.0379418 | + | 0.954105i | ||||
\(729\) | −8.50535 | + | 25.6254i | −0.315013 | + | 0.949087i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 7.12202 | + | 12.3357i | 0.263417 | + | 0.456252i | ||||
\(732\) | 18.7686 | − | 3.96875i | 0.693706 | − | 0.146689i | ||||
\(733\) | 14.5795 | + | 8.41748i | 0.538506 | + | 0.310907i | 0.744473 | − | 0.667652i | \(-0.232701\pi\) |
−0.205967 | + | 0.978559i | \(0.566034\pi\) | |||||||
\(734\) | 11.0370 | 0.407384 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.67822 | −0.135581 | ||||||||
\(737\) | −30.6721 | − | 17.7085i | −1.12982 | − | 0.652302i | ||||
\(738\) | 4.38478 | + | 0.470187i | 0.161406 | + | 0.0173078i | ||||
\(739\) | −19.3419 | − | 33.5012i | −0.711503 | − | 1.23236i | −0.964293 | − | 0.264838i | \(-0.914681\pi\) |
0.252790 | − | 0.967521i | \(-0.418652\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −31.0557 | − | 10.1267i | −1.14086 | − | 0.372015i | ||||
\(742\) | −0.488178 | − | 12.2760i | −0.0179216 | − | 0.450666i | ||||
\(743\) | 39.3563i | 1.44384i | 0.691976 | + | 0.721920i | \(0.256740\pi\) | ||||
−0.691976 | + | 0.721920i | \(0.743260\pi\) | |||||||
\(744\) | −1.16595 | + | 1.04761i | −0.0427458 | + | 0.0384072i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −16.1457 | + | 9.32174i | −0.591137 | + | 0.341293i | ||||
\(747\) | −14.4693 | + | 6.40571i | −0.529404 | + | 0.234373i | ||||
\(748\) | 13.9773i | 0.511062i | ||||||||
\(749\) | −23.1135 | + | 43.9824i | −0.844549 | + | 1.60708i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.1416 | + | 27.9580i | −0.589014 | + | 1.02020i | 0.405347 | + | 0.914163i | \(0.367151\pi\) |
−0.994362 | + | 0.106040i | \(0.966183\pi\) | |||||||
\(752\) | 6.54623 | + | 11.3384i | 0.238717 | + | 0.413469i | ||||
\(753\) | −3.15704 | − | 14.9299i | −0.115049 | − | 0.544076i | ||||
\(754\) | −2.74989 | − | 1.58765i | −0.100145 | − | 0.0578187i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −20.2073 | − | 8.12473i | −0.734933 | − | 0.295494i | ||||
\(757\) | 40.0667 | 1.45625 | 0.728124 | − | 0.685446i | \(-0.240393\pi\) | ||||
0.728124 | + | 0.685446i | \(0.240393\pi\) | |||||||
\(758\) | 0.312467 | + | 0.180403i | 0.0113493 | + | 0.00655252i | ||||
\(759\) | −0.936579 | − | 4.42916i | −0.0339957 | − | 0.160768i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.58977 | + | 11.4138i | −0.238879 | + | 0.413750i | −0.960393 | − | 0.278649i | \(-0.910113\pi\) |
0.721514 | + | 0.692400i | \(0.243447\pi\) | |||||||
\(762\) | −5.47920 | + | 16.8031i | −0.198491 | + | 0.608712i | ||||
\(763\) | −2.02665 | + | 1.28007i | −0.0733698 | + | 0.0463417i | ||||
\(764\) | 22.4131i | 0.810877i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.12110 | + | 1.22462i | −0.0766384 | + | 0.0442472i | ||||
\(767\) | 41.3236 | − | 23.8582i | 1.49211 | − | 0.861469i | ||||
\(768\) | −10.1347 | + | 9.10604i | −0.365704 | + | 0.328586i | ||||
\(769\) | − | 12.7709i | − | 0.460530i | −0.973128 | − | 0.230265i | \(-0.926041\pi\) | ||
0.973128 | − | 0.230265i | \(-0.0739593\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 33.1047 | + | 10.7949i | 1.19224 | + | 0.388768i | ||||
\(772\) | −4.90423 | + | 8.49437i | −0.176507 | + | 0.305719i | ||||
\(773\) | −9.09428 | − | 15.7518i | −0.327099 | − | 0.566551i | 0.654836 | − | 0.755771i | \(-0.272738\pi\) |
−0.981935 | + | 0.189219i | \(0.939404\pi\) | |||||||
\(774\) | −12.5870 | − | 1.34973i | −0.452432 | − | 0.0485150i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 9.01267 | 0.323536 | ||||||||
\(777\) | −5.31426 | + | 18.8015i | −0.190648 | + | 0.674500i | ||||
\(778\) | 5.87388 | 0.210589 | ||||||||
\(779\) | −8.83694 | − | 5.10201i | −0.316616 | − | 0.182798i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.4930 | + | 28.5667i | 0.590167 | + | 1.02220i | ||||
\(782\) | −0.452486 | + | 0.783728i | −0.0161809 | + | 0.0280261i | ||||
\(783\) | 4.92442 | − | 3.55412i | 0.175985 | − | 0.127014i | ||||
\(784\) | 5.04735 | − | 10.6080i | 0.180263 | − | 0.378856i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 12.3582 | + | 13.7543i | 0.440803 | + | 0.490598i | ||||
\(787\) | −1.07265 | + | 0.619297i | −0.0382360 | + | 0.0220756i | −0.518996 | − | 0.854777i | \(-0.673694\pi\) |
0.480760 | + | 0.876852i | \(0.340361\pi\) | |||||||
\(788\) | 17.9388 | − | 10.3569i | 0.639042 | − | 0.368951i | ||||
\(789\) | −10.1398 | − | 11.2852i | −0.360985 | − | 0.401763i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −23.3423 | + | 0.928251i | −0.829958 | + | 0.0330048i | ||||
\(792\) | −22.7022 | − | 16.5672i | −0.806689 | − | 0.588690i | ||||
\(793\) | −14.7283 | + | 25.5102i | −0.523019 | + | 0.905895i | ||||
\(794\) | 7.81449 | + | 13.5351i | 0.277326 | + | 0.480343i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.2580 | + | 13.4280i | 0.824359 | + | 0.475944i | ||||
\(797\) | 51.4416 | 1.82216 | 0.911078 | − | 0.412235i | \(-0.135252\pi\) | ||||
0.911078 | + | 0.412235i | \(0.135252\pi\) | |||||||
\(798\) | −9.22354 | − | 9.47915i | −0.326510 | − | 0.335558i | ||||
\(799\) | 16.9805 | 0.600725 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.286199 | − | 2.66897i | 0.0101123 | − | 0.0943036i | ||||
\(802\) | 9.73510 | + | 16.8617i | 0.343758 | + | 0.595407i | ||||
\(803\) | −10.6138 | + | 18.3836i | −0.374553 | + | 0.648745i | ||||
\(804\) | 22.7938 | + | 7.43268i | 0.803876 | + | 0.262130i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 1.06383i | − | 0.0374718i | ||||||
\(807\) | −22.2230 | + | 19.9674i | −0.782287 | + | 0.702886i | ||||
\(808\) | 13.1774 | − | 7.60797i | 0.463579 | − | 0.267647i | ||||
\(809\) | −2.44518 | + | 1.41172i | −0.0859679 | + | 0.0496336i | −0.542368 | − | 0.840141i | \(-0.682472\pi\) |
0.456400 | + | 0.889775i | \(0.349139\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 0.162805i | − | 0.00571687i | −0.999996 | − | 0.00285843i | \(-0.999090\pi\) | ||
0.999996 | − | 0.00285843i | \(-0.000909869\pi\) | |||||||
\(812\) | 2.61604 | + | 4.14180i | 0.0918050 | + | 0.145349i | ||||
\(813\) | −12.1599 | + | 37.2909i | −0.426467 | + | 1.30785i | ||||
\(814\) | −5.57189 | + | 9.65080i | −0.195295 | + | 0.338260i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −1.30891 | − | 6.18996i | −0.0458211 | − | 0.216692i | ||||
\(817\) | 25.3675 | + | 14.6459i | 0.887496 | + | 0.512396i | ||||
\(818\) | 15.9051 | 0.556108 | ||||||||
\(819\) | 30.0179 | − | 14.7425i | 1.04891 | − | 0.515145i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −43.3765 | − | 25.0434i | −1.51385 | − | 0.874022i | −0.999868 | − | 0.0162217i | \(-0.994836\pi\) |
−0.513983 | − | 0.857801i | \(-0.671830\pi\) | |||||||
\(822\) | −4.58911 | − | 21.7023i | −0.160063 | − | 0.756954i | ||||
\(823\) | 19.1132 | + | 33.1050i | 0.666243 | + | 1.15397i | 0.978947 | + | 0.204116i | \(0.0654319\pi\) |
−0.312704 | + | 0.949851i | \(0.601235\pi\) | |||||||
\(824\) | 11.3412 | − | 19.6435i | 0.395090 | − | 0.684315i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.3050 | − | 0.767700i | 0.671708 | − | 0.0267117i | ||||
\(827\) | 7.13112i | 0.247973i | 0.992284 | + | 0.123987i | \(0.0395680\pi\) | ||||
−0.992284 | + | 0.123987i | \(0.960432\pi\) | |||||||
\(828\) | 1.24057 | + | 2.80222i | 0.0431129 | + | 0.0973840i | ||||
\(829\) | −0.876338 | + | 0.505954i | −0.0304365 | + | 0.0175725i | −0.515141 | − | 0.857105i | \(-0.672260\pi\) |
0.484705 | + | 0.874678i | \(0.338927\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.0211 | + | 15.2935i | −0.590456 | + | 0.530525i | ||||
\(832\) | − | 1.35578i | − | 0.0470032i | ||||||
\(833\) | −8.64180 | − | 12.5483i | −0.299421 | − | 0.434772i | ||||
\(834\) | −0.242906 | − | 0.0792075i | −0.00841115 | − | 0.00274273i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 14.3717 | + | 24.8925i | 0.497056 | + | 0.860927i | ||||
\(837\) | 1.85614 | + | 0.833433i | 0.0641575 | + | 0.0288077i | ||||
\(838\) | 22.0360 | + | 12.7225i | 0.761222 | + | 0.439492i | ||||
\(839\) | −29.5215 | −1.01920 | −0.509598 | − | 0.860412i | \(-0.670206\pi\) | ||||
−0.509598 | + | 0.860412i | \(0.670206\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.6340 | 0.952897 | ||||||||
\(842\) | −17.2754 | − | 9.97394i | −0.595348 | − | 0.343725i | ||||
\(843\) | −55.7014 | + | 11.7785i | −1.91846 | + | 0.405672i | ||||
\(844\) | 14.5993 | + | 25.2868i | 0.502530 | + | 0.870408i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.89603 | + | 12.1903i | −0.305852 | + | 0.419112i | ||||
\(847\) | 12.7194 | + | 6.68427i | 0.437044 | + | 0.229674i | ||||
\(848\) | − | 12.0857i | − | 0.415024i | ||||||
\(849\) | −18.3036 | − | 20.3713i | −0.628178 | − | 0.699140i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.38085 | − | 1.37459i | 0.0816146 | − | 0.0471202i | ||||
\(852\) | −14.9238 | − | 16.6097i | −0.511282 | − | 0.569038i | ||||
\(853\) | − | 22.0904i | − | 0.756362i | −0.925732 | − | 0.378181i | \(-0.876550\pi\) | ||
0.925732 | − | 0.378181i | \(-0.123450\pi\) | |||||||
\(854\) | −10.0839 | + | 6.36920i | −0.345065 | + | 0.217950i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 21.7009 | − | 37.5871i | 0.741722 | − | 1.28470i | ||||
\(857\) | 7.16559 | + | 12.4112i | 0.244772 | + | 0.423957i | 0.962067 | − | 0.272812i | \(-0.0879536\pi\) |
−0.717296 | + | 0.696769i | \(0.754620\pi\) | |||||||
\(858\) | 18.6618 | − | 3.94617i | 0.637103 | − | 0.134720i | ||||
\(859\) | −23.7901 | − | 13.7352i | −0.811709 | − | 0.468640i | 0.0358402 | − | 0.999358i | \(-0.488589\pi\) |
−0.847549 | + | 0.530717i | \(0.821923\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 10.1270 | − | 2.56572i | 0.345127 | − | 0.0874395i | ||||
\(862\) | 19.8231 | 0.675176 | ||||||||
\(863\) | −14.0492 | − | 8.11130i | −0.478240 | − | 0.276112i | 0.241443 | − | 0.970415i | \(-0.422379\pi\) |
−0.719683 | + | 0.694303i | \(0.755713\pi\) | |||||||
\(864\) | 27.0401 | + | 12.1414i | 0.919923 | + | 0.413059i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0.953847 | − | 1.65211i | 0.0324131 | − | 0.0561411i | ||||
\(867\) | 20.1927 | + | 6.58451i | 0.685782 | + | 0.223622i | ||||
\(868\) | −0.763502 | + | 1.45286i | −0.0259149 | + | 0.0493131i | ||||
\(869\) | 15.2115i | 0.516014i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −31.8819 | + | 18.4070i | −1.08028 | + | 0.623698i | ||||
\(872\) | 1.81336 | − | 1.04695i | 0.0614083 | − | 0.0354541i | ||||
\(873\) | −4.73594 | − | 10.6976i | −0.160287 | − | 0.362059i | ||||
\(874\) | 1.86101i | 0.0629496i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.45486 | − | 13.6617i | 0.150516 | − | 0.461587i | ||||
\(877\) | −22.2463 | + | 38.5317i | −0.751204 | + | 1.30112i | 0.196036 | + | 0.980597i | \(0.437193\pi\) |
−0.947240 | + | 0.320527i | \(0.896140\pi\) | |||||||
\(878\) | −5.61294 | − | 9.72189i | −0.189427 | − | 0.328098i | ||||
\(879\) | 7.44602 | + | 35.2129i | 0.251148 | + | 1.18770i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.841670 | 0.0283566 | 0.0141783 | − | 0.999899i | \(-0.495487\pi\) | ||||
0.0141783 | + | 0.999899i | \(0.495487\pi\) | |||||||
\(882\) | 13.5359 | + | 0.370050i | 0.455776 | + | 0.0124602i | ||||
\(883\) | 51.7706 | 1.74222 | 0.871110 | − | 0.491088i | \(-0.163400\pi\) | ||||
0.871110 | + | 0.491088i | \(0.163400\pi\) | |||||||
\(884\) | 12.5822 | + | 7.26434i | 0.423185 | + | 0.244326i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.2505 | − | 17.7543i | −0.344371 | − | 0.596468i | ||||
\(887\) | −27.9867 | + | 48.4743i | −0.939700 | + | 1.62761i | −0.173669 | + | 0.984804i | \(0.555562\pi\) |
−0.766031 | + | 0.642804i | \(0.777771\pi\) | |||||||
\(888\) | 5.29107 | − | 16.2262i | 0.177557 | − | 0.544514i | ||||
\(889\) | 1.66368 | + | 41.8358i | 0.0557980 | + | 1.40313i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.73501 | + | 35.6521i | −0.259133 | + | 1.19439i | ||||
\(892\) | 0.860804 | − | 0.496986i | 0.0288219 | − | 0.0166403i | ||||
\(893\) | 30.2409 | − | 17.4596i | 1.01197 | − | 0.584262i | ||||
\(894\) | 8.27316 | − | 7.43344i | 0.276696 | − | 0.248612i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −13.7864 | + | 26.2339i | −0.460571 | + | 0.876413i | ||||
\(897\) | −4.47383 | − | 1.45884i | −0.149377 | − | 0.0487092i | ||||
\(898\) | 0.965470 | − | 1.67224i | 0.0322182 | − | 0.0558035i | ||||
\(899\) | −0.228825 | − | 0.396337i | −0.00763175 | − | 0.0132186i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.5747 | − | 7.83734i | −0.452238 | − | 0.261100i | ||||
\(902\) | 5.95854 | 0.198398 | ||||||||
\(903\) | −29.0707 | + | 7.36521i | −0.967414 | + | 0.245099i | ||||
\(904\) | 20.4062 | 0.678701 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −5.54473 | + | 1.17247i | −0.184211 | + | 0.0389528i | ||||
\(907\) | −18.1332 | − | 31.4075i | −0.602102 | − | 1.04287i | −0.992502 | − | 0.122226i | \(-0.960997\pi\) |
0.390401 | − | 0.920645i | \(-0.372336\pi\) | |||||||
\(908\) | −4.30070 | + | 7.44902i | −0.142724 | + | 0.247205i | ||||
\(909\) | −15.9547 | − | 11.6431i | −0.529183 | − | 0.386178i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 5.35784i | 0.177513i | 0.996053 | + | 0.0887565i | \(0.0282893\pi\) | ||||
−0.996053 | + | 0.0887565i | \(0.971711\pi\) | |||||||
\(912\) | −8.69569 | − | 9.67799i | −0.287943 | − | 0.320470i | ||||
\(913\) | −18.5162 | + | 10.6903i | −0.612797 | + | 0.353798i | ||||
\(914\) | 4.91690 | − | 2.83877i | 0.162637 | − | 0.0938983i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 22.7716i | − | 0.752396i | ||||||
\(917\) | 38.7755 | + | 20.3772i | 1.28048 | + | 0.672916i | ||||
\(918\) | 5.91341 | − | 4.26790i | 0.195172 | − | 0.140862i | ||||
\(919\) | 10.0571 | − | 17.4194i | 0.331754 | − | 0.574615i | −0.651102 | − | 0.758990i | \(-0.725693\pi\) |
0.982856 | + | 0.184376i | \(0.0590263\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 22.0054 | − | 4.65320i | 0.725102 | − | 0.153328i | ||||
\(922\) | 17.8532 | + | 10.3075i | 0.587963 | + | 0.339461i | ||||
\(923\) | 34.2872 | 1.12858 | ||||||||
\(924\) | −28.3183 | − | 8.00419i | −0.931604 | − | 0.263319i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −3.87818 | − | 2.23907i | −0.127445 | − | 0.0735804i | ||||
\(927\) | −29.2754 | − | 3.13925i | −0.961532 | − | 0.103107i | ||||
\(928\) | −3.33351 | − | 5.77382i | −0.109428 | − | 0.189535i | ||||
\(929\) | 3.39903 | − | 5.88728i | 0.111518 | − | 0.193156i | −0.804864 | − | 0.593459i | \(-0.797762\pi\) |
0.916383 | + | 0.400303i | \(0.131095\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −28.2927 | − | 13.4619i | −0.927256 | − | 0.441195i | ||||
\(932\) | − | 13.3558i | − | 0.437483i | ||||||
\(933\) | 0.589629 | − | 0.529783i | 0.0193036 | − | 0.0173443i | ||||
\(934\) | −13.6662 | + | 7.89021i | −0.447173 | + | 0.258176i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −26.7124 | + | 11.8259i | −0.873123 | + | 0.386540i | ||||
\(937\) | − | 44.1327i | − | 1.44175i | −0.693063 | − | 0.720877i | \(-0.743739\pi\) | ||
0.693063 | − | 0.720877i | \(-0.256261\pi\) | |||||||
\(938\) | −14.8942 | + | 0.592295i | −0.486312 | + | 0.0193391i | ||||
\(939\) | 14.8965 | − | 45.6830i | 0.486128 | − | 1.49081i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.53288 | + | 7.85118i | 0.147768 | + | 0.255941i | 0.930402 | − | 0.366540i | \(-0.119458\pi\) |
−0.782634 | + | 0.622482i | \(0.786125\pi\) | |||||||
\(942\) | −3.89409 | − | 18.4155i | −0.126876 | − | 0.600008i | ||||
\(943\) | −1.27303 | − | 0.734986i | −0.0414557 | − | 0.0239344i | ||||
\(944\) | 19.0057 | 0.618584 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −17.1047 | −0.556122 | ||||||||
\(947\) | −30.7330 | − | 17.7437i | −0.998689 | − | 0.576593i | −0.0908285 | − | 0.995867i | \(-0.528952\pi\) |
−0.907860 | + | 0.419273i | \(0.862285\pi\) | |||||||
\(948\) | −2.13031 | − | 10.0744i | −0.0691893 | − | 0.327202i | ||||
\(949\) | 11.0325 | + | 19.1088i | 0.358129 | + | 0.620297i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.42891 | − | 7.44873i | 0.0787627 | − | 0.241542i | ||||
\(952\) | 7.10731 | + | 11.2525i | 0.230349 | + | 0.364697i | ||||
\(953\) | − | 10.8726i | − | 0.352198i | −0.984373 | − | 0.176099i | \(-0.943652\pi\) | ||
0.984373 | − | 0.176099i | \(-0.0563478\pi\) | |||||||
\(954\) | 12.7382 | − | 5.63933i | 0.412414 | − | 0.182580i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 3.72976 | − | 2.15338i | 0.120629 | − | 0.0696452i | ||||
\(957\) | 6.10378 | − | 5.48426i | 0.197307 | − | 0.177281i | ||||
\(958\) | 15.6625i | 0.506031i | ||||||||
\(959\) | −28.0620 | − | 44.4287i | −0.906169 | − | 1.43468i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.4233 | + | 26.7140i | −0.497527 | + | 0.861742i | ||||
\(962\) | 5.79167 | + | 10.0315i | 0.186731 | + | 0.323428i | ||||
\(963\) | −56.0173 | − | 6.00683i | −1.80513 | − | 0.193567i | ||||
\(964\) | 2.09841 | + | 1.21152i | 0.0675853 | + | 0.0390204i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.32873 | − | 1.36555i | −0.0427511 | − | 0.0439358i | ||||
\(967\) | −21.3855 | −0.687711 | −0.343855 | − | 0.939023i | \(-0.611733\pi\) | ||||
−0.343855 | + | 0.939023i | \(0.611733\pi\) | |||||||
\(968\) | −10.8699 | − | 6.27575i | −0.349373 | − | 0.201710i | ||||
\(969\) | −16.5093 | + | 3.49102i | −0.530357 | + | 0.112148i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.43174 | − | 7.67600i | 0.142221 | − | 0.246335i | −0.786112 | − | 0.618085i | \(-0.787909\pi\) |
0.928333 | + | 0.371750i | \(0.121242\pi\) | |||||||
\(972\) | 0.129881 | − | 24.6953i | 0.00416593 | − | 0.792102i | ||||
\(973\) | −0.604779 | + | 0.0240502i | −0.0193883 | + | 0.000771013i | ||||
\(974\) | − | 6.29102i | − | 0.201577i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −10.1609 | + | 5.86639i | −0.325242 | + | 0.187779i | ||||
\(977\) | 0.633128 | − | 0.365536i | 0.0202555 | − | 0.0116945i | −0.489838 | − | 0.871813i | \(-0.662944\pi\) |
0.510094 | + | 0.860119i | \(0.329611\pi\) | |||||||
\(978\) | 3.58806 | + | 3.99339i | 0.114734 | + | 0.127694i | ||||
\(979\) | − | 3.62691i | − | 0.115916i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.19555 | − | 1.60223i | −0.0700986 | − | 0.0511553i | ||||
\(982\) | 7.63091 | − | 13.2171i | 0.243512 | − | 0.421775i | ||||
\(983\) | −1.86607 | − | 3.23213i | −0.0595184 | − | 0.103089i | 0.834731 | − | 0.550658i | \(-0.185623\pi\) |
−0.894249 | + | 0.447569i | \(0.852290\pi\) | |||||||
\(984\) | −8.92825 | + | 1.88794i | −0.284622 | + | 0.0601855i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.64032 | −0.0522385 | ||||||||
\(987\) | −9.72394 | + | 34.4027i | −0.309516 | + | 1.09505i | ||||
\(988\) | 29.8772 | 0.950520 | ||||||||
\(989\) | 3.65439 | + | 2.10987i | 0.116203 | + | 0.0670898i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.74255 | + | 4.75024i | 0.0871200 | + | 0.150896i | 0.906293 | − | 0.422651i | \(-0.138900\pi\) |
−0.819173 | + | 0.573547i | \(0.805567\pi\) | |||||||
\(992\) | 1.11684 | − | 1.93442i | 0.0354596 | − | 0.0614178i | ||||
\(993\) | 37.7039 | + | 12.2946i | 1.19650 | + | 0.390158i | ||||
\(994\) | 12.2892 | + | 6.45819i | 0.389790 | + | 0.204841i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 10.7660 | − | 9.67323i | 0.341132 | − | 0.306508i | ||||
\(997\) | −4.39264 | + | 2.53609i | −0.139116 | + | 0.0803189i | −0.567943 | − | 0.823068i | \(-0.692261\pi\) |
0.428826 | + | 0.903387i | \(0.358927\pi\) | |||||||
\(998\) | −6.40544 | + | 3.69818i | −0.202761 | + | 0.117064i | ||||
\(999\) | −22.0400 | + | 2.24620i | −0.697314 | + | 0.0710666i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))