Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(59,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.p (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: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.8 | ||
Character | \(\chi\) | \(=\) | 105.89 |
Dual form | 105.2.p.a.59.8 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.322403 | − | 0.558418i | 0.227973 | − | 0.394861i | −0.729234 | − | 0.684264i | \(-0.760123\pi\) |
0.957207 | + | 0.289403i | \(0.0934568\pi\) | |||||||
\(3\) | −1.15761 | + | 1.28838i | −0.668349 | + | 0.743848i | ||||
\(4\) | 0.792113 | + | 1.37198i | 0.396056 | + | 0.685990i | ||||
\(5\) | −0.550103 | + | 2.16735i | −0.246013 | + | 0.969266i | ||||
\(6\) | 0.346239 | + | 1.06181i | 0.141351 | + | 0.433483i | ||||
\(7\) | −2.64366 | + | 0.105130i | −0.999210 | + | 0.0397354i | ||||
\(8\) | 2.31113 | 0.817108 | ||||||||
\(9\) | −0.319861 | − | 2.98290i | −0.106620 | − | 0.994300i | ||||
\(10\) | 1.03293 | + | 1.00595i | 0.326641 | + | 0.318108i | ||||
\(11\) | 3.51044 | − | 2.02675i | 1.05844 | − | 0.611089i | 0.133437 | − | 0.991057i | \(-0.457398\pi\) |
0.924999 | + | 0.379968i | \(0.124065\pi\) | |||||||
\(12\) | −2.68460 | − | 0.567678i | −0.774976 | − | 0.163874i | ||||
\(13\) | 4.21339 | 1.16858 | 0.584292 | − | 0.811543i | \(-0.301372\pi\) | ||||
0.584292 | + | 0.811543i | \(0.301372\pi\) | |||||||
\(14\) | −0.793618 | + | 1.51016i | −0.212103 | + | 0.403608i | ||||
\(15\) | −2.15556 | − | 3.21769i | −0.556564 | − | 0.830804i | ||||
\(16\) | −0.839111 | + | 1.45338i | −0.209778 | + | 0.363346i | ||||
\(17\) | 1.88498 | − | 1.08830i | 0.457176 | − | 0.263951i | −0.253680 | − | 0.967288i | \(-0.581641\pi\) |
0.710856 | + | 0.703338i | \(0.248308\pi\) | |||||||
\(18\) | −1.76883 | − | 0.783079i | −0.416917 | − | 0.184574i | ||||
\(19\) | −3.87634 | − | 2.23800i | −0.889293 | − | 0.513434i | −0.0155818 | − | 0.999879i | \(-0.504960\pi\) |
−0.873711 | + | 0.486445i | \(0.838293\pi\) | |||||||
\(20\) | −3.40930 | + | 0.962052i | −0.762342 | + | 0.215121i | ||||
\(21\) | 2.92489 | − | 3.52775i | 0.638264 | − | 0.769818i | ||||
\(22\) | − | 2.61372i | − | 0.557248i | ||||||
\(23\) | −0.322403 | + | 0.558418i | −0.0672257 | + | 0.116438i | −0.897679 | − | 0.440650i | \(-0.854748\pi\) |
0.830453 | + | 0.557088i | \(0.188081\pi\) | |||||||
\(24\) | −2.67540 | + | 2.97762i | −0.546113 | + | 0.607804i | ||||
\(25\) | −4.39477 | − | 2.38453i | −0.878955 | − | 0.476905i | ||||
\(26\) | 1.35841 | − | 2.35284i | 0.266406 | − | 0.461429i | ||||
\(27\) | 4.21339 | + | 3.04094i | 0.810868 | + | 0.585229i | ||||
\(28\) | −2.23831 | − | 3.54377i | −0.423002 | − | 0.669710i | ||||
\(29\) | 1.16875i | 0.217032i | 0.994095 | + | 0.108516i | \(0.0346099\pi\) | ||||
−0.994095 | + | 0.108516i | \(0.965390\pi\) | |||||||
\(30\) | −2.49178 | + | 0.166313i | −0.454934 | + | 0.0303645i | ||||
\(31\) | −0.339111 | + | 0.195786i | −0.0609061 | + | 0.0351641i | −0.530144 | − | 0.847908i | \(-0.677862\pi\) |
0.469238 | + | 0.883072i | \(0.344529\pi\) | |||||||
\(32\) | 2.85219 | + | 4.94014i | 0.504201 | + | 0.873302i | ||||
\(33\) | −1.45250 | + | 6.86898i | −0.252847 | + | 1.19574i | ||||
\(34\) | − | 1.40348i | − | 0.240695i | ||||||
\(35\) | 1.22643 | − | 5.78756i | 0.207305 | − | 0.978276i | ||||
\(36\) | 3.83911 | − | 2.80164i | 0.639852 | − | 0.466939i | ||||
\(37\) | 3.69236 | + | 2.13178i | 0.607020 | + | 0.350463i | 0.771798 | − | 0.635868i | \(-0.219358\pi\) |
−0.164778 | + | 0.986331i | \(0.552691\pi\) | |||||||
\(38\) | −2.49949 | + | 1.44308i | −0.405470 | + | 0.234098i | ||||
\(39\) | −4.87748 | + | 5.42846i | −0.781022 | + | 0.869250i | ||||
\(40\) | −1.27136 | + | 5.00902i | −0.201019 | + | 0.791995i | ||||
\(41\) | 2.27971 | 0.356031 | 0.178016 | − | 0.984028i | \(-0.443032\pi\) | ||||
0.178016 | + | 0.984028i | \(0.443032\pi\) | |||||||
\(42\) | −1.02697 | − | 2.77067i | −0.158464 | − | 0.427524i | ||||
\(43\) | − | 6.54419i | − | 0.997980i | −0.866608 | − | 0.498990i | \(-0.833705\pi\) | ||
0.866608 | − | 0.498990i | \(-0.166295\pi\) | |||||||
\(44\) | 5.56132 | + | 3.21083i | 0.838401 | + | 0.484051i | ||||
\(45\) | 6.64093 | + | 0.947651i | 0.989971 | + | 0.141267i | ||||
\(46\) | 0.207887 | + | 0.360071i | 0.0306513 | + | 0.0530896i | ||||
\(47\) | −6.75621 | − | 3.90070i | −0.985494 | − | 0.568975i | −0.0815698 | − | 0.996668i | \(-0.525993\pi\) |
−0.903924 | + | 0.427692i | \(0.859327\pi\) | |||||||
\(48\) | −0.901147 | − | 2.76355i | −0.130069 | − | 0.398884i | ||||
\(49\) | 6.97790 | − | 0.555857i | 0.996842 | − | 0.0794081i | ||||
\(50\) | −2.74845 | + | 1.68534i | −0.388690 | + | 0.238344i | ||||
\(51\) | −0.779941 | + | 3.68841i | −0.109214 | + | 0.516480i | ||||
\(52\) | 3.33748 | + | 5.78069i | 0.462825 | + | 0.801637i | ||||
\(53\) | −3.60074 | − | 6.23667i | −0.494600 | − | 0.856672i | 0.505381 | − | 0.862896i | \(-0.331352\pi\) |
−0.999981 | + | 0.00622439i | \(0.998019\pi\) | |||||||
\(54\) | 3.05653 | − | 1.37243i | 0.415941 | − | 0.186764i | ||||
\(55\) | 2.46157 | + | 8.72325i | 0.331918 | + | 1.17624i | ||||
\(56\) | −6.10984 | + | 0.242969i | −0.816462 | + | 0.0324681i | ||||
\(57\) | 7.37071 | − | 2.40346i | 0.976274 | − | 0.318346i | ||||
\(58\) | 0.652654 | + | 0.376810i | 0.0856977 | + | 0.0494776i | ||||
\(59\) | −5.66247 | − | 9.80768i | −0.737190 | − | 1.27685i | −0.953756 | − | 0.300583i | \(-0.902819\pi\) |
0.216566 | − | 0.976268i | \(-0.430515\pi\) | |||||||
\(60\) | 2.70716 | − | 5.50617i | 0.349492 | − | 0.710843i | ||||
\(61\) | 6.05456 | + | 3.49560i | 0.775207 | + | 0.447566i | 0.834729 | − | 0.550661i | \(-0.185624\pi\) |
−0.0595220 | + | 0.998227i | \(0.518958\pi\) | |||||||
\(62\) | 0.252487i | 0.0320659i | ||||||||
\(63\) | 1.15920 | + | 7.85215i | 0.146045 | + | 0.989278i | ||||
\(64\) | 0.321779 | 0.0402224 | ||||||||
\(65\) | −2.31780 | + | 9.13188i | −0.287488 | + | 1.13267i | ||||
\(66\) | 3.36748 | + | 3.02568i | 0.414508 | + | 0.372436i | ||||
\(67\) | −7.56680 | + | 4.36870i | −0.924432 | + | 0.533721i | −0.885046 | − | 0.465503i | \(-0.845873\pi\) |
−0.0393859 | + | 0.999224i | \(0.512540\pi\) | |||||||
\(68\) | 2.98624 | + | 1.72411i | 0.362135 | + | 0.209079i | ||||
\(69\) | −0.346239 | − | 1.06181i | −0.0416822 | − | 0.127827i | ||||
\(70\) | −2.83647 | − | 2.55079i | −0.339024 | − | 0.304878i | ||||
\(71\) | 8.13766i | 0.965762i | 0.875686 | + | 0.482881i | \(0.160410\pi\) | ||||
−0.875686 | + | 0.482881i | \(0.839590\pi\) | |||||||
\(72\) | −0.739241 | − | 6.89387i | −0.0871204 | − | 0.812450i | ||||
\(73\) | −2.61843 | − | 4.53525i | −0.306464 | − | 0.530810i | 0.671123 | − | 0.741346i | \(-0.265812\pi\) |
−0.977586 | + | 0.210536i | \(0.932479\pi\) | |||||||
\(74\) | 2.38085 | − | 1.37459i | 0.276769 | − | 0.159792i | ||||
\(75\) | 8.15963 | − | 2.90179i | 0.942193 | − | 0.335070i | ||||
\(76\) | − | 7.09101i | − | 0.813394i | ||||||
\(77\) | −9.06734 | + | 5.72710i | −1.03332 | + | 0.652664i | ||||
\(78\) | 1.45884 | + | 4.47383i | 0.165181 | + | 0.506561i | ||||
\(79\) | −1.87634 | + | 3.24991i | −0.211105 | + | 0.365644i | −0.952060 | − | 0.305910i | \(-0.901039\pi\) |
0.740956 | + | 0.671554i | \(0.234373\pi\) | |||||||
\(80\) | −2.68838 | − | 2.61815i | −0.300571 | − | 0.292718i | ||||
\(81\) | −8.79538 | + | 1.90823i | −0.977264 | + | 0.212025i | ||||
\(82\) | 0.734986 | − | 1.27303i | 0.0811656 | − | 0.140583i | ||||
\(83\) | 5.27461i | 0.578964i | 0.957183 | + | 0.289482i | \(0.0934831\pi\) | ||||
−0.957183 | + | 0.289482i | \(0.906517\pi\) | |||||||
\(84\) | 7.15684 | + | 1.21852i | 0.780876 | + | 0.132951i | ||||
\(85\) | 1.32178 | + | 4.68409i | 0.143367 | + | 0.508061i | ||||
\(86\) | −3.65439 | − | 2.10987i | −0.394064 | − | 0.227513i | ||||
\(87\) | −1.50580 | − | 1.35297i | −0.161439 | − | 0.145053i | ||||
\(88\) | 8.11308 | − | 4.68409i | 0.864857 | − | 0.499325i | ||||
\(89\) | −0.447379 | + | 0.774883i | −0.0474221 | + | 0.0821375i | −0.888762 | − | 0.458369i | \(-0.848434\pi\) |
0.841340 | + | 0.540506i | \(0.181767\pi\) | |||||||
\(90\) | 2.67024 | − | 3.40289i | 0.281468 | − | 0.358696i | ||||
\(91\) | −11.1388 | + | 0.442954i | −1.16766 | + | 0.0464342i | ||||
\(92\) | −1.02152 | −0.106501 | ||||||||
\(93\) | 0.140312 | − | 0.663548i | 0.0145497 | − | 0.0688068i | ||||
\(94\) | −4.35644 | + | 2.51519i | −0.449333 | + | 0.259422i | ||||
\(95\) | 6.98291 | − | 7.17023i | 0.716432 | − | 0.735650i | ||||
\(96\) | −9.66653 | − | 2.04406i | −0.986586 | − | 0.208621i | ||||
\(97\) | −3.89968 | −0.395953 | −0.197976 | − | 0.980207i | \(-0.563437\pi\) | ||||
−0.197976 | + | 0.980207i | \(0.563437\pi\) | |||||||
\(98\) | 1.93929 | − | 4.07579i | 0.195898 | − | 0.411717i | ||||
\(99\) | −7.16845 | − | 9.82300i | −0.720456 | − | 0.987249i | ||||
\(100\) | −0.209636 | − | 7.91835i | −0.0209636 | − | 0.791835i | ||||
\(101\) | −3.29188 | − | 5.70171i | −0.327555 | − | 0.567341i | 0.654471 | − | 0.756087i | \(-0.272891\pi\) |
−0.982026 | + | 0.188745i | \(0.939558\pi\) | |||||||
\(102\) | 1.80822 | + | 1.62469i | 0.179040 | + | 0.160868i | ||||
\(103\) | 4.90721 | − | 8.49954i | 0.483522 | − | 0.837485i | −0.516299 | − | 0.856408i | \(-0.672691\pi\) |
0.999821 | + | 0.0189238i | \(0.00602398\pi\) | |||||||
\(104\) | 9.73770 | 0.954860 | ||||||||
\(105\) | 6.03686 | + | 8.27987i | 0.589137 | + | 0.808033i | ||||
\(106\) | −4.64356 | −0.451022 | ||||||||
\(107\) | 9.38974 | − | 16.2635i | 0.907740 | − | 1.57225i | 0.0905447 | − | 0.995892i | \(-0.471139\pi\) |
0.817196 | − | 0.576360i | \(-0.195527\pi\) | |||||||
\(108\) | −0.834627 | + | 8.18946i | −0.0803120 | + | 0.788031i | ||||
\(109\) | −0.453002 | − | 0.784623i | −0.0433897 | − | 0.0751532i | 0.843515 | − | 0.537106i | \(-0.180482\pi\) |
−0.886905 | + | 0.461952i | \(0.847149\pi\) | |||||||
\(110\) | 5.66484 | + | 1.43782i | 0.540121 | + | 0.137090i | ||||
\(111\) | −7.02088 | + | 2.28939i | −0.666392 | + | 0.217299i | ||||
\(112\) | 2.06553 | − | 3.93047i | 0.195174 | − | 0.371394i | ||||
\(113\) | −8.82955 | −0.830614 | −0.415307 | − | 0.909681i | \(-0.636326\pi\) | ||||
−0.415307 | + | 0.909681i | \(0.636326\pi\) | |||||||
\(114\) | 1.03420 | − | 4.89082i | 0.0968618 | − | 0.458067i | ||||
\(115\) | −1.03293 | − | 1.00595i | −0.0963213 | − | 0.0938049i | ||||
\(116\) | −1.60351 | + | 0.925786i | −0.148882 | + | 0.0859570i | ||||
\(117\) | −1.34770 | − | 12.5681i | −0.124595 | − | 1.16192i | ||||
\(118\) | −7.30238 | −0.672239 | ||||||||
\(119\) | −4.86885 | + | 3.07526i | −0.446327 | + | 0.281908i | ||||
\(120\) | −4.98179 | − | 7.43650i | −0.454773 | − | 0.678857i | ||||
\(121\) | 2.71545 | − | 4.70330i | 0.246859 | − | 0.427572i | ||||
\(122\) | 3.90402 | − | 2.25398i | 0.353453 | − | 0.204066i | ||||
\(123\) | −2.63903 | + | 2.93714i | −0.237953 | + | 0.264833i | ||||
\(124\) | −0.537228 | − | 0.310168i | −0.0482445 | − | 0.0278540i | ||||
\(125\) | 7.58567 | − | 8.21326i | 0.678483 | − | 0.734616i | ||||
\(126\) | 4.75851 | + | 1.88424i | 0.423922 | + | 0.167861i | ||||
\(127\) | 15.8249i | 1.40424i | 0.712060 | + | 0.702118i | \(0.247762\pi\) | ||||
−0.712060 | + | 0.702118i | \(0.752238\pi\) | |||||||
\(128\) | −5.60064 | + | 9.70060i | −0.495032 | + | 0.857420i | ||||
\(129\) | 8.43142 | + | 7.57564i | 0.742345 | + | 0.666998i | ||||
\(130\) | 4.35214 | + | 4.23845i | 0.381708 | + | 0.371736i | ||||
\(131\) | −8.27814 | + | 14.3382i | −0.723265 | + | 1.25273i | 0.236419 | + | 0.971651i | \(0.424026\pi\) |
−0.959684 | + | 0.281080i | \(0.909307\pi\) | |||||||
\(132\) | −10.5746 | + | 3.44821i | −0.920405 | + | 0.300128i | ||||
\(133\) | 10.4830 | + | 5.50901i | 0.908992 | + | 0.477692i | ||||
\(134\) | 5.63392i | 0.486697i | ||||||||
\(135\) | −8.90857 | + | 7.45905i | −0.766728 | + | 0.641973i | ||||
\(136\) | 4.35644 | − | 2.51519i | 0.373562 | − | 0.215676i | ||||
\(137\) | 9.93080 | + | 17.2007i | 0.848446 | + | 1.46955i | 0.882595 | + | 0.470135i | \(0.155795\pi\) |
−0.0341490 | + | 0.999417i | \(0.510872\pi\) | |||||||
\(138\) | −0.704563 | − | 0.148985i | −0.0599764 | − | 0.0126825i | ||||
\(139\) | − | 0.228766i | − | 0.0194037i | −0.999953 | − | 0.00970183i | \(-0.996912\pi\) | ||
0.999953 | − | 0.00970183i | \(-0.00308824\pi\) | |||||||
\(140\) | 8.91189 | − | 2.90176i | 0.753192 | − | 0.245244i | ||||
\(141\) | 12.8467 | − | 4.18908i | 1.08188 | − | 0.352784i | ||||
\(142\) | 4.54422 | + | 2.62361i | 0.381342 | + | 0.220168i | ||||
\(143\) | 14.7909 | − | 8.53950i | 1.23687 | − | 0.714109i | ||||
\(144\) | 4.60369 | + | 2.03810i | 0.383641 | + | 0.169842i | ||||
\(145\) | −2.53310 | − | 0.642935i | −0.210362 | − | 0.0533929i | ||||
\(146\) | −3.37675 | −0.279462 | ||||||||
\(147\) | −7.36155 | + | 9.63367i | −0.607170 | + | 0.794572i | ||||
\(148\) | 6.75445i | 0.555212i | ||||||||
\(149\) | −8.62438 | − | 4.97929i | −0.706537 | − | 0.407919i | 0.103240 | − | 0.994656i | \(-0.467079\pi\) |
−0.809777 | + | 0.586737i | \(0.800412\pi\) | |||||||
\(150\) | 1.01028 | − | 5.49203i | 0.0824886 | − | 0.448423i | ||||
\(151\) | 2.53723 | + | 4.39461i | 0.206477 | + | 0.357628i | 0.950602 | − | 0.310412i | \(-0.100467\pi\) |
−0.744126 | + | 0.668040i | \(0.767134\pi\) | |||||||
\(152\) | −8.95872 | − | 5.17232i | −0.726648 | − | 0.419530i | ||||
\(153\) | −3.84921 | − | 5.27461i | −0.311190 | − | 0.426427i | ||||
\(154\) | 0.274781 | + | 6.90980i | 0.0221425 | + | 0.556808i | ||||
\(155\) | −0.237789 | − | 0.842672i | −0.0190997 | − | 0.0676850i | ||||
\(156\) | −11.3113 | − | 2.39185i | −0.905625 | − | 0.191501i | ||||
\(157\) | −8.42678 | − | 14.5956i | −0.672531 | − | 1.16486i | −0.977184 | − | 0.212394i | \(-0.931874\pi\) |
0.304653 | − | 0.952463i | \(-0.401459\pi\) | |||||||
\(158\) | 1.20987 | + | 2.09556i | 0.0962524 | + | 0.166714i | ||||
\(159\) | 12.2035 | + | 2.58052i | 0.967799 | + | 0.204648i | ||||
\(160\) | −12.2760 | + | 3.46410i | −0.970503 | + | 0.273861i | ||||
\(161\) | 0.793618 | − | 1.51016i | 0.0625458 | − | 0.119018i | ||||
\(162\) | −1.77007 | + | 5.52672i | −0.139070 | + | 0.434220i | ||||
\(163\) | −4.16292 | − | 2.40346i | −0.326065 | − | 0.188254i | 0.328028 | − | 0.944668i | \(-0.393616\pi\) |
−0.654093 | + | 0.756414i | \(0.726949\pi\) | |||||||
\(164\) | 1.80579 | + | 3.12772i | 0.141008 | + | 0.244234i | ||||
\(165\) | −14.0884 | − | 6.92671i | −1.09678 | − | 0.539244i | ||||
\(166\) | 2.94544 | + | 1.70055i | 0.228611 | + | 0.131988i | ||||
\(167\) | 4.45089i | 0.344420i | 0.985060 | + | 0.172210i | \(0.0550908\pi\) | ||||
−0.985060 | + | 0.172210i | \(0.944909\pi\) | |||||||
\(168\) | 6.75980 | − | 8.15308i | 0.521530 | − | 0.629024i | ||||
\(169\) | 4.75268 | 0.365590 | ||||||||
\(170\) | 3.04182 | + | 0.772058i | 0.233297 | + | 0.0592141i | ||||
\(171\) | −5.43585 | + | 12.2786i | −0.415690 | + | 0.938966i | ||||
\(172\) | 8.97849 | − | 5.18374i | 0.684604 | − | 0.395256i | ||||
\(173\) | 9.91963 | + | 5.72710i | 0.754175 | + | 0.435423i | 0.827201 | − | 0.561907i | \(-0.189932\pi\) |
−0.0730252 | + | 0.997330i | \(0.523265\pi\) | |||||||
\(174\) | −1.24100 | + | 0.404668i | −0.0940797 | + | 0.0306778i | ||||
\(175\) | 11.8690 | + | 5.84186i | 0.897211 | + | 0.441603i | ||||
\(176\) | 6.80268i | 0.512771i | ||||||||
\(177\) | 19.1910 | + | 4.05808i | 1.44248 | + | 0.305024i | ||||
\(178\) | 0.288473 | + | 0.499649i | 0.0216219 | + | 0.0374503i | ||||
\(179\) | 9.04522 | − | 5.22226i | 0.676071 | − | 0.390330i | −0.122302 | − | 0.992493i | \(-0.539028\pi\) |
0.798373 | + | 0.602163i | \(0.205694\pi\) | |||||||
\(180\) | 3.96021 | + | 9.86187i | 0.295176 | + | 0.735060i | ||||
\(181\) | − | 11.9616i | − | 0.889095i | −0.895755 | − | 0.444548i | \(-0.853364\pi\) | ||
0.895755 | − | 0.444548i | \(-0.146636\pi\) | |||||||
\(182\) | −3.34382 | + | 6.36291i | −0.247861 | + | 0.471650i | ||||
\(183\) | −11.5125 | + | 3.75404i | −0.851030 | + | 0.277506i | ||||
\(184\) | −0.745115 | + | 1.29058i | −0.0549306 | + | 0.0951426i | ||||
\(185\) | −6.65149 | + | 6.82991i | −0.489027 | + | 0.502145i | ||||
\(186\) | −0.325300 | − | 0.292283i | −0.0238522 | − | 0.0214312i | ||||
\(187\) | 4.41141 | − | 7.64079i | 0.322594 | − | 0.558750i | ||||
\(188\) | − | 12.3592i | − | 0.901385i | ||||||
\(189\) | −11.4585 | − | 7.59627i | −0.833482 | − | 0.552547i | ||||
\(190\) | −1.75268 | − | 6.21109i | −0.127153 | − | 0.450600i | ||||
\(191\) | 12.2522 | + | 7.07383i | 0.886541 | + | 0.511844i | 0.872809 | − | 0.488061i | \(-0.162296\pi\) |
0.0137312 | + | 0.999906i | \(0.495629\pi\) | |||||||
\(192\) | −0.372496 | + | 0.414574i | −0.0268826 | + | 0.0299193i | ||||
\(193\) | −5.36185 | + | 3.09566i | −0.385954 | + | 0.222831i | −0.680406 | − | 0.732836i | \(-0.738196\pi\) |
0.294452 | + | 0.955666i | \(0.404863\pi\) | |||||||
\(194\) | −1.25727 | + | 2.17765i | −0.0902667 | + | 0.156346i | ||||
\(195\) | −9.08224 | − | 13.5574i | −0.650393 | − | 0.970865i | ||||
\(196\) | 6.28990 | + | 9.13323i | 0.449279 | + | 0.652373i | ||||
\(197\) | 13.0751 | 0.931562 | 0.465781 | − | 0.884900i | \(-0.345773\pi\) | ||||
0.465781 | + | 0.884900i | \(0.345773\pi\) | |||||||
\(198\) | −7.79647 | + | 0.836029i | −0.554071 | + | 0.0594140i | ||||
\(199\) | 14.6810 | − | 8.47608i | 1.04071 | − | 0.600854i | 0.120675 | − | 0.992692i | \(-0.461494\pi\) |
0.920034 | + | 0.391838i | \(0.128161\pi\) | |||||||
\(200\) | −10.1569 | − | 5.51095i | −0.718201 | − | 0.389683i | ||||
\(201\) | 3.13088 | − | 14.8062i | 0.220835 | − | 1.04435i | ||||
\(202\) | −4.24525 | −0.298695 | ||||||||
\(203\) | −0.122871 | − | 3.08979i | −0.00862388 | − | 0.216861i | ||||
\(204\) | −5.67822 | + | 1.85157i | −0.397555 | + | 0.129636i | ||||
\(205\) | −1.25408 | + | 4.94092i | −0.0875885 | + | 0.345089i | ||||
\(206\) | −3.16420 | − | 5.48055i | −0.220460 | − | 0.381848i | ||||
\(207\) | 1.76883 | + | 0.783079i | 0.122942 | + | 0.0544278i | ||||
\(208\) | −3.53550 | + | 6.12367i | −0.245143 | + | 0.424600i | ||||
\(209\) | −18.1435 | −1.25501 | ||||||||
\(210\) | 6.56993 | − | 0.701637i | 0.453369 | − | 0.0484176i | ||||
\(211\) | −18.4309 | −1.26884 | −0.634418 | − | 0.772990i | \(-0.718760\pi\) | ||||
−0.634418 | + | 0.772990i | \(0.718760\pi\) | |||||||
\(212\) | 5.70439 | − | 9.88029i | 0.391779 | − | 0.678581i | ||||
\(213\) | −10.4844 | − | 9.42027i | −0.718381 | − | 0.645466i | ||||
\(214\) | −6.05456 | − | 10.4868i | −0.413881 | − | 0.716863i | ||||
\(215\) | 14.1835 | + | 3.59998i | 0.967308 | + | 0.245516i | ||||
\(216\) | 9.73770 | + | 7.02801i | 0.662566 | + | 0.478195i | ||||
\(217\) | 0.875911 | − | 0.553242i | 0.0594607 | − | 0.0375565i | ||||
\(218\) | −0.584197 | −0.0395668 | ||||||||
\(219\) | 8.87426 | + | 1.87653i | 0.599667 | + | 0.126804i | ||||
\(220\) | −10.0183 | + | 10.2870i | −0.675433 | + | 0.693551i | ||||
\(221\) | 7.94218 | − | 4.58542i | 0.534249 | − | 0.308449i | ||||
\(222\) | −0.985115 | + | 4.65869i | −0.0661166 | + | 0.312671i | ||||
\(223\) | 0.627418 | 0.0420150 | 0.0210075 | − | 0.999779i | \(-0.493313\pi\) | ||||
0.0210075 | + | 0.999779i | \(0.493313\pi\) | |||||||
\(224\) | −8.05959 | − | 12.7602i | −0.538504 | − | 0.852578i | ||||
\(225\) | −5.70708 | + | 13.8719i | −0.380472 | + | 0.924792i | ||||
\(226\) | −2.84667 | + | 4.93058i | −0.189358 | + | 0.327977i | ||||
\(227\) | −4.70200 | + | 2.71470i | −0.312082 | + | 0.180181i | −0.647858 | − | 0.761761i | \(-0.724335\pi\) |
0.335776 | + | 0.941942i | \(0.391002\pi\) | |||||||
\(228\) | 9.13593 | + | 8.20865i | 0.605042 | + | 0.543631i | ||||
\(229\) | −12.4482 | − | 7.18699i | −0.822602 | − | 0.474930i | 0.0287108 | − | 0.999588i | \(-0.490860\pi\) |
−0.851313 | + | 0.524658i | \(0.824193\pi\) | |||||||
\(230\) | −0.894758 | + | 0.252487i | −0.0589986 | + | 0.0166485i | ||||
\(231\) | 3.11778 | − | 18.3120i | 0.205135 | − | 1.20484i | ||||
\(232\) | 2.70114i | 0.177339i | ||||||||
\(233\) | −4.21524 | + | 7.30101i | −0.276150 | + | 0.478305i | −0.970425 | − | 0.241405i | \(-0.922392\pi\) |
0.694275 | + | 0.719710i | \(0.255725\pi\) | |||||||
\(234\) | −7.45277 | − | 3.29942i | −0.487203 | − | 0.215690i | ||||
\(235\) | 12.1708 | − | 12.4973i | 0.793934 | − | 0.815231i | ||||
\(236\) | 8.97062 | − | 15.5376i | 0.583938 | − | 1.01141i | ||||
\(237\) | −2.01506 | − | 6.17959i | −0.130892 | − | 0.401407i | ||||
\(238\) | 0.147548 | + | 3.71032i | 0.00956411 | + | 0.240505i | ||||
\(239\) | 2.71852i | 0.175847i | 0.996127 | + | 0.0879233i | \(0.0280230\pi\) | ||||
−0.996127 | + | 0.0879233i | \(0.971977\pi\) | |||||||
\(240\) | 6.48529 | − | 0.432860i | 0.418624 | − | 0.0279410i | ||||
\(241\) | −1.32457 | + | 0.764739i | −0.0853229 | + | 0.0492612i | −0.542054 | − | 0.840343i | \(-0.682353\pi\) |
0.456732 | + | 0.889605i | \(0.349020\pi\) | |||||||
\(242\) | −1.75094 | − | 3.03271i | −0.112555 | − | 0.194950i | ||||
\(243\) | 7.72312 | − | 13.5408i | 0.495438 | − | 0.868643i | ||||
\(244\) | 11.0756i | 0.709045i | ||||||||
\(245\) | −2.63383 | + | 15.4293i | −0.168269 | + | 0.985741i | ||||
\(246\) | 0.789324 | + | 2.42062i | 0.0503255 | + | 0.154333i | ||||
\(247\) | −16.3325 | − | 9.42959i | −1.03921 | − | 0.599991i | ||||
\(248\) | −0.783728 | + | 0.452486i | −0.0497668 | + | 0.0287329i | ||||
\(249\) | −6.79572 | − | 6.10597i | −0.430661 | − | 0.386950i | ||||
\(250\) | −2.14079 | − | 6.88395i | −0.135396 | − | 0.435379i | ||||
\(251\) | 8.81039 | 0.556107 | 0.278054 | − | 0.960566i | \(-0.410311\pi\) | ||||
0.278054 | + | 0.960566i | \(0.410311\pi\) | |||||||
\(252\) | −9.85477 | + | 7.81018i | −0.620792 | + | 0.491995i | ||||
\(253\) | 2.61372i | 0.164323i | ||||||||
\(254\) | 8.83694 | + | 5.10201i | 0.554479 | + | 0.320128i | ||||
\(255\) | −7.56501 | − | 3.71941i | −0.473739 | − | 0.232918i | ||||
\(256\) | 3.93311 | + | 6.81234i | 0.245819 | + | 0.425771i | ||||
\(257\) | −17.4101 | − | 10.0517i | −1.08601 | − | 0.627011i | −0.153502 | − | 0.988148i | \(-0.549055\pi\) |
−0.932512 | + | 0.361138i | \(0.882388\pi\) | |||||||
\(258\) | 6.94869 | − | 2.26585i | 0.432607 | − | 0.141066i | ||||
\(259\) | −9.98546 | − | 5.24754i | −0.620466 | − | 0.326066i | ||||
\(260\) | −14.3647 | + | 4.05350i | −0.890861 | + | 0.251388i | ||||
\(261\) | 3.48628 | − | 0.373839i | 0.215795 | − | 0.0231401i | ||||
\(262\) | 5.33780 | + | 9.24533i | 0.329770 | + | 0.571179i | ||||
\(263\) | −4.37959 | − | 7.58568i | −0.270057 | − | 0.467753i | 0.698819 | − | 0.715299i | \(-0.253709\pi\) |
−0.968876 | + | 0.247546i | \(0.920376\pi\) | |||||||
\(264\) | −3.35691 | + | 15.8751i | −0.206604 | + | 0.977046i | ||||
\(265\) | 15.4978 | − | 4.37324i | 0.952022 | − | 0.268646i | ||||
\(266\) | 6.45608 | − | 4.07778i | 0.395848 | − | 0.250025i | ||||
\(267\) | −0.480454 | − | 1.47341i | −0.0294033 | − | 0.0901713i | ||||
\(268\) | −11.9875 | − | 6.92100i | −0.732255 | − | 0.422767i | ||||
\(269\) | 8.62438 | + | 14.9379i | 0.525838 | + | 0.910778i | 0.999547 | + | 0.0300966i | \(0.00958150\pi\) |
−0.473709 | + | 0.880681i | \(0.657085\pi\) | |||||||
\(270\) | 1.29312 | + | 7.37953i | 0.0786967 | + | 0.449104i | ||||
\(271\) | 19.6117 | + | 11.3228i | 1.19132 | + | 0.687812i | 0.958607 | − | 0.284733i | \(-0.0919048\pi\) |
0.232718 | + | 0.972544i | \(0.425238\pi\) | |||||||
\(272\) | 3.65280i | 0.221484i | ||||||||
\(273\) | 12.3237 | − | 14.8638i | 0.745865 | − | 0.899598i | ||||
\(274\) | 12.8069 | 0.773692 | ||||||||
\(275\) | −20.2604 | + | 0.536390i | −1.22175 | + | 0.0323455i | ||||
\(276\) | 1.18252 | − | 1.31611i | 0.0711795 | − | 0.0792203i | ||||
\(277\) | −11.4413 | + | 6.60561i | −0.687438 | + | 0.396893i | −0.802652 | − | 0.596448i | \(-0.796578\pi\) |
0.115213 | + | 0.993341i | \(0.463245\pi\) | |||||||
\(278\) | −0.127747 | − | 0.0737548i | −0.00766176 | − | 0.00442352i | ||||
\(279\) | 0.692477 | + | 0.948908i | 0.0414575 | + | 0.0568097i | ||||
\(280\) | 2.83444 | − | 13.3758i | 0.169390 | − | 0.799357i | ||||
\(281\) | − | 32.8703i | − | 1.96088i | −0.196817 | − | 0.980440i | \(-0.563060\pi\) | ||
0.196817 | − | 0.980440i | \(-0.436940\pi\) | |||||||
\(282\) | 1.80255 | − | 8.52439i | 0.107340 | − | 0.507620i | ||||
\(283\) | 7.90575 | + | 13.6932i | 0.469948 | + | 0.813974i | 0.999410 | − | 0.0343601i | \(-0.0109393\pi\) |
−0.529462 | + | 0.848334i | \(0.677606\pi\) | |||||||
\(284\) | −11.1647 | + | 6.44594i | −0.662503 | + | 0.382496i | ||||
\(285\) | 1.15449 | + | 17.2970i | 0.0683860 | + | 1.02459i | ||||
\(286\) | − | 11.0126i | − | 0.651191i | ||||||
\(287\) | −6.02679 | + | 0.239666i | −0.355750 | + | 0.0141471i | ||||
\(288\) | 13.8236 | − | 10.0880i | 0.814566 | − | 0.594439i | ||||
\(289\) | −6.13122 | + | 10.6196i | −0.360660 | + | 0.624682i | ||||
\(290\) | −1.17570 | + | 1.20724i | −0.0690397 | + | 0.0708917i | ||||
\(291\) | 4.51433 | − | 5.02429i | 0.264635 | − | 0.294529i | ||||
\(292\) | 4.14818 | − | 7.18485i | 0.242754 | − | 0.420462i | ||||
\(293\) | 20.7797i | 1.21396i | 0.794716 | + | 0.606982i | \(0.207620\pi\) | ||||
−0.794716 | + | 0.606982i | \(0.792380\pi\) | |||||||
\(294\) | 3.00623 | + | 7.21675i | 0.175327 | + | 0.420889i | ||||
\(295\) | 24.3716 | − | 6.87729i | 1.41897 | − | 0.400411i | ||||
\(296\) | 8.53351 | + | 4.92683i | 0.496000 | + | 0.286366i | ||||
\(297\) | 20.9541 | + | 2.13553i | 1.21588 | + | 0.123916i | ||||
\(298\) | −5.56105 | + | 3.21068i | −0.322143 | + | 0.185989i | ||||
\(299\) | −1.35841 | + | 2.35284i | −0.0785589 | + | 0.136068i | ||||
\(300\) | 10.4445 | + | 8.89630i | 0.603016 | + | 0.513628i | ||||
\(301\) | 0.687991 | + | 17.3006i | 0.0396552 | + | 0.997191i | ||||
\(302\) | 3.27204 | 0.188285 | ||||||||
\(303\) | 11.1567 | + | 2.35917i | 0.640937 | + | 0.135531i | ||||
\(304\) | 6.50535 | − | 3.75587i | 0.373108 | − | 0.215414i | ||||
\(305\) | −10.9068 | + | 11.1994i | −0.624522 | + | 0.641275i | ||||
\(306\) | −4.18644 | + | 0.448919i | −0.239323 | + | 0.0256630i | ||||
\(307\) | 12.9857 | 0.741136 | 0.370568 | − | 0.928805i | \(-0.379163\pi\) | ||||
0.370568 | + | 0.928805i | \(0.379163\pi\) | |||||||
\(308\) | −15.0398 | − | 7.90369i | −0.856973 | − | 0.450355i | ||||
\(309\) | 5.27001 | + | 16.1616i | 0.299800 | + | 0.919399i | ||||
\(310\) | −0.547227 | − | 0.138894i | −0.0310804 | − | 0.00788865i | ||||
\(311\) | 0.228825 | + | 0.396337i | 0.0129755 | + | 0.0224742i | 0.872440 | − | 0.488721i | \(-0.162536\pi\) |
−0.859465 | + | 0.511195i | \(0.829203\pi\) | |||||||
\(312\) | −11.2725 | + | 12.5459i | −0.638179 | + | 0.710271i | ||||
\(313\) | −13.8710 | + | 24.0252i | −0.784033 | + | 1.35799i | 0.145542 | + | 0.989352i | \(0.453507\pi\) |
−0.929575 | + | 0.368633i | \(0.879826\pi\) | |||||||
\(314\) | −10.8673 | −0.613276 | ||||||||
\(315\) | −17.6560 | − | 1.80711i | −0.994803 | − | 0.101819i | ||||
\(316\) | −5.94509 | −0.334437 | ||||||||
\(317\) | −2.26170 | + | 3.91737i | −0.127030 | + | 0.220022i | −0.922524 | − | 0.385939i | \(-0.873878\pi\) |
0.795495 | + | 0.605960i | \(0.207211\pi\) | |||||||
\(318\) | 5.37545 | − | 5.98268i | 0.301440 | − | 0.335492i | ||||
\(319\) | 2.36878 | + | 4.10284i | 0.132626 | + | 0.229715i | ||||
\(320\) | −0.177011 | + | 0.697406i | −0.00989524 | + | 0.0389862i | ||||
\(321\) | 10.0839 | + | 30.9244i | 0.562830 | + | 1.72603i | ||||
\(322\) | −0.587438 | − | 0.930052i | −0.0327366 | − | 0.0518297i | ||||
\(323\) | −9.74245 | −0.542084 | ||||||||
\(324\) | −9.58498 | − | 10.5555i | −0.532499 | − | 0.586419i | ||||
\(325\) | −18.5169 | − | 10.0469i | −1.02713 | − | 0.557304i | ||||
\(326\) | −2.68428 | + | 1.54977i | −0.148668 | + | 0.0858337i | ||||
\(327\) | 1.53530 | + | 0.324650i | 0.0849021 | + | 0.0179532i | ||||
\(328\) | 5.26871 | 0.290916 | ||||||||
\(329\) | 18.2712 | + | 9.60185i | 1.00732 | + | 0.529367i | ||||
\(330\) | −8.41016 | + | 5.63405i | −0.462964 | + | 0.310144i | ||||
\(331\) | 11.4482 | − | 19.8289i | 0.629252 | − | 1.08990i | −0.358451 | − | 0.933549i | \(-0.616695\pi\) |
0.987702 | − | 0.156347i | \(-0.0499718\pi\) | |||||||
\(332\) | −7.23666 | + | 4.17809i | −0.397163 | + | 0.229302i | ||||
\(333\) | 5.17785 | − | 11.6958i | 0.283745 | − | 0.640926i | ||||
\(334\) | 2.48546 | + | 1.43498i | 0.135998 | + | 0.0785186i | ||||
\(335\) | −5.30596 | − | 18.8031i | −0.289895 | − | 1.02732i | ||||
\(336\) | 2.67286 | + | 7.21116i | 0.145816 | + | 0.393401i | ||||
\(337\) | − | 31.2616i | − | 1.70293i | −0.524413 | − | 0.851464i | \(-0.675715\pi\) | ||
0.524413 | − | 0.851464i | \(-0.324285\pi\) | |||||||
\(338\) | 1.53228 | − | 2.65398i | 0.0833449 | − | 0.144358i | ||||
\(339\) | 10.2212 | − | 11.3758i | 0.555140 | − | 0.617851i | ||||
\(340\) | −5.37947 | + | 5.52378i | −0.291743 | + | 0.299569i | ||||
\(341\) | −0.793618 | + | 1.37459i | −0.0429768 | + | 0.0744380i | ||||
\(342\) | 5.10405 | + | 6.99413i | 0.275995 | + | 0.378199i | ||||
\(343\) | −18.3888 | + | 2.20308i | −0.992900 | + | 0.118955i | ||||
\(344\) | − | 15.1245i | − | 0.815457i | ||||||
\(345\) | 2.49178 | − | 0.166313i | 0.134153 | − | 0.00895401i | ||||
\(346\) | 6.39623 | − | 3.69287i | 0.343864 | − | 0.198530i | ||||
\(347\) | 1.39335 | + | 2.41336i | 0.0747992 | + | 0.129556i | 0.900999 | − | 0.433821i | \(-0.142835\pi\) |
−0.826200 | + | 0.563377i | \(0.809502\pi\) | |||||||
\(348\) | 0.663476 | − | 3.13763i | 0.0355661 | − | 0.168195i | ||||
\(349\) | 16.5636i | 0.886627i | 0.896367 | + | 0.443314i | \(0.146197\pi\) | ||||
−0.896367 | + | 0.443314i | \(0.853803\pi\) | |||||||
\(350\) | 7.08879 | − | 4.74442i | 0.378912 | − | 0.253600i | ||||
\(351\) | 17.7527 | + | 12.8127i | 0.947568 | + | 0.683890i | ||||
\(352\) | 20.0249 | + | 11.5614i | 1.06733 | + | 0.616223i | ||||
\(353\) | −2.83794 | + | 1.63849i | −0.151048 | + | 0.0872078i | −0.573619 | − | 0.819122i | \(-0.694461\pi\) |
0.422571 | + | 0.906330i | \(0.361128\pi\) | |||||||
\(354\) | 8.45334 | − | 9.40826i | 0.449290 | − | 0.500044i | ||||
\(355\) | −17.6371 | − | 4.47655i | −0.936081 | − | 0.237591i | ||||
\(356\) | −1.41750 | −0.0751273 | ||||||||
\(357\) | 1.67414 | − | 9.83290i | 0.0886048 | − | 0.520412i | ||||
\(358\) | − | 6.73469i | − | 0.355939i | ||||||
\(359\) | −14.7282 | − | 8.50335i | −0.777326 | − | 0.448789i | 0.0581557 | − | 0.998308i | \(-0.481478\pi\) |
−0.835482 | + | 0.549518i | \(0.814811\pi\) | |||||||
\(360\) | 15.3481 | + | 2.19014i | 0.808913 | + | 0.115431i | ||||
\(361\) | 0.517332 | + | 0.896045i | 0.0272280 | + | 0.0471603i | ||||
\(362\) | −6.67955 | − | 3.85644i | −0.351069 | − | 0.202690i | ||||
\(363\) | 2.91620 | + | 8.94314i | 0.153061 | + | 0.469393i | ||||
\(364\) | −9.43090 | − | 14.9313i | −0.494313 | − | 0.782614i | ||||
\(365\) | 11.2698 | − | 3.18018i | 0.589891 | − | 0.166458i | ||||
\(366\) | −1.61535 | + | 7.63911i | −0.0844355 | + | 0.399303i | ||||
\(367\) | 8.55840 | + | 14.8236i | 0.446745 | + | 0.773785i | 0.998172 | − | 0.0604381i | \(-0.0192498\pi\) |
−0.551427 | + | 0.834223i | \(0.685916\pi\) | |||||||
\(368\) | −0.541063 | − | 0.937149i | −0.0282049 | − | 0.0488523i | ||||
\(369\) | −0.729192 | − | 6.80015i | −0.0379602 | − | 0.354002i | ||||
\(370\) | 1.66949 | + | 5.91630i | 0.0867926 | + | 0.307574i | ||||
\(371\) | 10.1748 | + | 16.1091i | 0.528249 | + | 0.836342i | ||||
\(372\) | 1.02152 | − | 0.333100i | 0.0529632 | − | 0.0172704i | ||||
\(373\) | 25.0397 | + | 14.4567i | 1.29651 | + | 0.748538i | 0.979799 | − | 0.199986i | \(-0.0640897\pi\) |
0.316706 | + | 0.948524i | \(0.397423\pi\) | |||||||
\(374\) | −2.84450 | − | 4.92683i | −0.147086 | − | 0.254760i | ||||
\(375\) | 1.80055 | + | 19.2810i | 0.0929801 | + | 0.995668i | ||||
\(376\) | −15.6145 | − | 9.01502i | −0.805255 | − | 0.464914i | ||||
\(377\) | 4.92442i | 0.253621i | ||||||||
\(378\) | −7.93614 | + | 3.94957i | −0.408191 | + | 0.203144i | ||||
\(379\) | −0.559557 | −0.0287425 | −0.0143712 | − | 0.999897i | \(-0.504575\pi\) | ||||
−0.0143712 | + | 0.999897i | \(0.504575\pi\) | |||||||
\(380\) | 15.3687 | + | 3.90078i | 0.788396 | + | 0.200106i | ||||
\(381\) | −20.3886 | − | 18.3192i | −1.04454 | − | 0.938519i | ||||
\(382\) | 7.90031 | − | 4.56125i | 0.404215 | − | 0.233374i | ||||
\(383\) | −3.28951 | − | 1.89920i | −0.168086 | − | 0.0970447i | 0.413597 | − | 0.910460i | \(-0.364272\pi\) |
−0.581683 | + | 0.813415i | \(0.697606\pi\) | |||||||
\(384\) | −6.01470 | − | 18.4453i | −0.306937 | − | 0.941284i | ||||
\(385\) | −7.42464 | − | 22.8025i | −0.378395 | − | 1.16213i | ||||
\(386\) | 3.99220i | 0.203198i | ||||||||
\(387\) | −19.5207 | + | 2.09323i | −0.992291 | + | 0.106405i | ||||
\(388\) | −3.08899 | − | 5.35029i | −0.156820 | − | 0.271620i | ||||
\(389\) | 7.88909 | − | 4.55477i | 0.399993 | − | 0.230936i | −0.286488 | − | 0.958084i | \(-0.592488\pi\) |
0.686481 | + | 0.727148i | \(0.259155\pi\) | |||||||
\(390\) | −10.4988 | + | 0.700744i | −0.531629 | + | 0.0354835i | ||||
\(391\) | 1.40348i | 0.0709770i | ||||||||
\(392\) | 16.1268 | − | 1.28466i | 0.814527 | − | 0.0648850i | ||||
\(393\) | −8.89016 | − | 27.2635i | −0.448449 | − | 1.37526i | ||||
\(394\) | 4.21545 | − | 7.30137i | 0.212371 | − | 0.367838i | ||||
\(395\) | −6.01151 | − | 5.85446i | −0.302472 | − | 0.294570i | ||||
\(396\) | 7.79874 | − | 17.6159i | 0.391901 | − | 0.885232i | ||||
\(397\) | −12.1191 | + | 20.9910i | −0.608242 | + | 1.05351i | 0.383288 | + | 0.923629i | \(0.374792\pi\) |
−0.991530 | + | 0.129878i | \(0.958542\pi\) | |||||||
\(398\) | − | 10.9309i | − | 0.547914i | ||||||
\(399\) | −19.2330 | + | 7.12883i | −0.962854 | + | 0.356888i | ||||
\(400\) | 7.15333 | − | 4.38641i | 0.357666 | − | 0.219320i | ||||
\(401\) | −26.1500 | − | 15.0977i | −1.30587 | − | 0.753944i | −0.324466 | − | 0.945897i | \(-0.605185\pi\) |
−0.981404 | + | 0.191953i | \(0.938518\pi\) | |||||||
\(402\) | −7.25865 | − | 6.52190i | −0.362028 | − | 0.325283i | ||||
\(403\) | −1.42881 | + | 0.824921i | −0.0711739 | + | 0.0410923i | ||||
\(404\) | 5.21509 | − | 9.03279i | 0.259460 | − | 0.449398i | ||||
\(405\) | 0.702572 | − | 20.1123i | 0.0349111 | − | 0.999390i | ||||
\(406\) | −1.76501 | − | 0.927545i | −0.0875960 | − | 0.0460333i | ||||
\(407\) | 17.2824 | 0.856656 | ||||||||
\(408\) | −1.80255 | + | 8.52439i | −0.0892393 | + | 0.422020i | ||||
\(409\) | −21.3618 | + | 12.3332i | −1.05627 | + | 0.609839i | −0.924399 | − | 0.381427i | \(-0.875433\pi\) |
−0.131874 | + | 0.991267i | \(0.542099\pi\) | |||||||
\(410\) | 2.35478 | + | 2.29327i | 0.116295 | + | 0.113256i | ||||
\(411\) | −33.6571 | − | 7.11704i | −1.66018 | − | 0.351058i | ||||
\(412\) | 15.5483 | 0.766008 | ||||||||
\(413\) | 16.0007 | + | 25.3329i | 0.787344 | + | 1.24655i | ||||
\(414\) | 1.00756 | − | 0.735280i | 0.0495189 | − | 0.0361370i | ||||
\(415\) | −11.4319 | − | 2.90158i | −0.561170 | − | 0.142433i | ||||
\(416\) | 12.0174 | + | 20.8148i | 0.589202 | + | 1.02053i | ||||
\(417\) | 0.294738 | + | 0.264822i | 0.0144334 | + | 0.0129684i | ||||
\(418\) | −5.84953 | + | 10.1317i | −0.286110 | + | 0.495556i | ||||
\(419\) | 39.4615 | 1.92782 | 0.963911 | − | 0.266226i | \(-0.0857766\pi\) | ||||
0.963911 | + | 0.266226i | \(0.0857766\pi\) | |||||||
\(420\) | −6.57794 | + | 14.8410i | −0.320971 | + | 0.724169i | ||||
\(421\) | −30.9363 | −1.50774 | −0.753870 | − | 0.657023i | \(-0.771815\pi\) | ||||
−0.753870 | + | 0.657023i | \(0.771815\pi\) | |||||||
\(422\) | −5.94218 | + | 10.2921i | −0.289261 | + | 0.501014i | ||||
\(423\) | −9.47434 | + | 21.4008i | −0.460658 | + | 1.04054i | ||||
\(424\) | −8.32178 | − | 14.4137i | −0.404141 | − | 0.699993i | ||||
\(425\) | −10.8791 | + | 0.288023i | −0.527716 | + | 0.0139712i | ||||
\(426\) | −8.64066 | + | 2.81757i | −0.418641 | + | 0.136512i | ||||
\(427\) | −16.3737 | − | 8.60467i | −0.792379 | − | 0.416409i | ||||
\(428\) | 29.7509 | 1.43807 | ||||||||
\(429\) | −6.11994 | + | 28.9417i | −0.295474 | + | 1.39732i | ||||
\(430\) | 6.58310 | − | 6.75969i | 0.317465 | − | 0.325981i | ||||
\(431\) | −26.6240 | + | 15.3713i | −1.28243 | + | 0.740412i | −0.977292 | − | 0.211896i | \(-0.932036\pi\) |
−0.305138 | + | 0.952308i | \(0.598703\pi\) | |||||||
\(432\) | −7.95515 | + | 3.57198i | −0.382742 | + | 0.171857i | ||||
\(433\) | −2.95856 | −0.142179 | −0.0710896 | − | 0.997470i | \(-0.522648\pi\) | ||||
−0.0710896 | + | 0.997470i | \(0.522648\pi\) | |||||||
\(434\) | −0.0265440 | − | 0.667491i | −0.00127415 | − | 0.0320406i | ||||
\(435\) | 3.76069 | − | 2.51933i | 0.180311 | − | 0.120792i | ||||
\(436\) | 0.717658 | − | 1.24302i | 0.0343696 | − | 0.0595298i | ||||
\(437\) | 2.49949 | − | 1.44308i | 0.119567 | − | 0.0690318i | ||||
\(438\) | 3.90897 | − | 4.35055i | 0.186778 | − | 0.207877i | ||||
\(439\) | 15.0772 | + | 8.70485i | 0.719598 | + | 0.415460i | 0.814605 | − | 0.580017i | \(-0.196954\pi\) |
−0.0950070 | + | 0.995477i | \(0.530287\pi\) | |||||||
\(440\) | 5.68901 | + | 20.1606i | 0.271213 | + | 0.961117i | ||||
\(441\) | −3.89002 | − | 20.6366i | −0.185239 | − | 0.982693i | ||||
\(442\) | − | 5.91341i | − | 0.281272i | ||||||
\(443\) | 15.8970 | − | 27.5344i | 0.755288 | − | 1.30820i | −0.189942 | − | 0.981795i | \(-0.560830\pi\) |
0.945231 | − | 0.326403i | \(-0.105837\pi\) | |||||||
\(444\) | −8.70232 | − | 7.81904i | −0.412994 | − | 0.371075i | ||||
\(445\) | −1.43334 | − | 1.39589i | −0.0679466 | − | 0.0661716i | ||||
\(446\) | 0.202281 | − | 0.350362i | 0.00957830 | − | 0.0165901i | ||||
\(447\) | 16.3989 | − | 5.34741i | 0.775643 | − | 0.252924i | ||||
\(448\) | −0.850674 | + | 0.0338286i | −0.0401906 | + | 0.00159825i | ||||
\(449\) | − | 2.99461i | − | 0.141324i | −0.997500 | − | 0.0706621i | \(-0.977489\pi\) | ||
0.997500 | − | 0.0706621i | \(-0.0225112\pi\) | |||||||
\(450\) | 5.90633 | + | 7.65927i | 0.278427 | + | 0.361062i | ||||
\(451\) | 8.00279 | − | 4.62041i | 0.376837 | − | 0.217567i | ||||
\(452\) | −6.99400 | − | 12.1140i | −0.328970 | − | 0.569793i | ||||
\(453\) | −8.59907 | − | 1.81834i | −0.404019 | − | 0.0854329i | ||||
\(454\) | 3.50091i | 0.164306i | ||||||||
\(455\) | 5.16744 | − | 24.3853i | 0.242253 | − | 1.14320i | ||||
\(456\) | 17.0347 | − | 5.55471i | 0.797721 | − | 0.260123i | ||||
\(457\) | 7.62540 | + | 4.40252i | 0.356701 | + | 0.205941i | 0.667633 | − | 0.744491i | \(-0.267308\pi\) |
−0.310932 | + | 0.950432i | \(0.600641\pi\) | |||||||
\(458\) | −8.02669 | + | 4.63421i | −0.375063 | + | 0.216543i | ||||
\(459\) | 11.2516 | + | 1.14671i | 0.525181 | + | 0.0535237i | ||||
\(460\) | 0.561940 | − | 2.21398i | 0.0262006 | − | 0.103227i | ||||
\(461\) | −31.9710 | −1.48904 | −0.744519 | − | 0.667602i | \(-0.767321\pi\) | ||||
−0.744519 | + | 0.667602i | \(0.767321\pi\) | |||||||
\(462\) | −9.22056 | − | 7.64486i | −0.428979 | − | 0.355671i | ||||
\(463\) | 6.94495i | 0.322759i | 0.986892 | + | 0.161380i | \(0.0515943\pi\) | ||||
−0.986892 | + | 0.161380i | \(0.948406\pi\) | |||||||
\(464\) | −1.69865 | − | 0.980715i | −0.0788577 | − | 0.0455285i | ||||
\(465\) | 1.36095 | + | 0.669125i | 0.0631127 | + | 0.0310299i | ||||
\(466\) | 2.71801 | + | 4.70774i | 0.125910 | + | 0.218082i | ||||
\(467\) | 21.1944 | + | 12.2366i | 0.980758 | + | 0.566241i | 0.902499 | − | 0.430692i | \(-0.141731\pi\) |
0.0782589 | + | 0.996933i | \(0.475064\pi\) | |||||||
\(468\) | 16.1757 | − | 11.8044i | 0.747721 | − | 0.545658i | ||||
\(469\) | 19.5448 | − | 12.3449i | 0.902495 | − | 0.570032i | ||||
\(470\) | −3.05480 | − | 10.8255i | −0.140908 | − | 0.499344i | ||||
\(471\) | 28.5597 | + | 6.03916i | 1.31596 | + | 0.278270i | ||||
\(472\) | −13.0867 | − | 22.6668i | −0.602364 | − | 1.04332i | ||||
\(473\) | −13.2635 | − | 22.9730i | −0.609854 | − | 1.05630i | ||||
\(474\) | −4.10045 | − | 0.867071i | −0.188340 | − | 0.0398259i | ||||
\(475\) | 11.6991 | + | 19.0788i | 0.536789 | + | 0.875393i | ||||
\(476\) | −8.07586 | − | 4.24401i | −0.370157 | − | 0.194524i | ||||
\(477\) | −17.4516 | + | 12.7355i | −0.799054 | + | 0.583119i | ||||
\(478\) | 1.51807 | + | 0.876459i | 0.0694350 | + | 0.0400883i | ||||
\(479\) | 12.1451 | + | 21.0359i | 0.554923 | + | 0.961156i | 0.997909 | + | 0.0646271i | \(0.0205858\pi\) |
−0.442986 | + | 0.896529i | \(0.646081\pi\) | |||||||
\(480\) | 9.74777 | − | 19.8263i | 0.444923 | − | 0.904942i | ||||
\(481\) | 15.5573 | + | 8.98204i | 0.709354 | + | 0.409546i | ||||
\(482\) | 0.986217i | 0.0449209i | ||||||||
\(483\) | 1.02697 | + | 2.77067i | 0.0467286 | + | 0.126070i | ||||
\(484\) | 8.60377 | 0.391080 | ||||||||
\(485\) | 2.14523 | − | 8.45196i | 0.0974097 | − | 0.383784i | ||||
\(486\) | −5.07148 | − | 8.67833i | −0.230047 | − | 0.393657i | ||||
\(487\) | 8.44934 | − | 4.87823i | 0.382876 | − | 0.221054i | −0.296193 | − | 0.955128i | \(-0.595717\pi\) |
0.679069 | + | 0.734075i | \(0.262384\pi\) | |||||||
\(488\) | 13.9929 | + | 8.07879i | 0.633427 | + | 0.365710i | ||||
\(489\) | 7.91563 | − | 2.58115i | 0.357957 | − | 0.116724i | ||||
\(490\) | 7.76684 | + | 6.44522i | 0.350870 | + | 0.291166i | ||||
\(491\) | 23.6689i | 1.06816i | 0.845434 | + | 0.534080i | \(0.179342\pi\) | ||||
−0.845434 | + | 0.534080i | \(0.820658\pi\) | |||||||
\(492\) | −6.12011 | − | 1.29414i | −0.275916 | − | 0.0583444i | ||||
\(493\) | 1.27195 | + | 2.20308i | 0.0572858 | + | 0.0992219i | ||||
\(494\) | −10.5313 | + | 6.08026i | −0.473826 | + | 0.273564i | ||||
\(495\) | 25.2332 | − | 10.1328i | 1.13415 | − | 0.455438i | ||||
\(496\) | − | 0.657143i | − | 0.0295066i | ||||||
\(497\) | −0.855513 | − | 21.5132i | −0.0383750 | − | 0.965000i | ||||
\(498\) | −5.60064 | + | 1.82627i | −0.250971 | + | 0.0818373i | ||||
\(499\) | 5.73534 | − | 9.93391i | 0.256749 | − | 0.444703i | −0.708620 | − | 0.705590i | \(-0.750682\pi\) |
0.965369 | + | 0.260888i | \(0.0840152\pi\) | |||||||
\(500\) | 17.2771 | + | 3.90155i | 0.772657 | + | 0.174483i | ||||
\(501\) | −5.73445 | − | 5.15241i | −0.256196 | − | 0.230193i | ||||
\(502\) | 2.84050 | − | 4.91988i | 0.126778 | − | 0.219585i | ||||
\(503\) | 16.8580i | 0.751659i | 0.926689 | + | 0.375830i | \(0.122642\pi\) | ||||
−0.926689 | + | 0.375830i | \(0.877358\pi\) | |||||||
\(504\) | 2.67906 | + | 18.1473i | 0.119335 | + | 0.808347i | ||||
\(505\) | 14.1685 | − | 3.99812i | 0.630488 | − | 0.177914i | ||||
\(506\) | 1.45955 | + | 0.842672i | 0.0648849 | + | 0.0374613i | ||||
\(507\) | −5.50176 | + | 6.12327i | −0.244342 | + | 0.271944i | ||||
\(508\) | −21.7115 | + | 12.5351i | −0.963292 | + | 0.556157i | ||||
\(509\) | 1.47582 | − | 2.55620i | 0.0654147 | − | 0.113302i | −0.831463 | − | 0.555580i | \(-0.812496\pi\) |
0.896878 | + | 0.442278i | \(0.145830\pi\) | |||||||
\(510\) | −4.51596 | + | 3.02529i | −0.199970 | + | 0.133962i | ||||
\(511\) | 7.39902 | + | 11.7144i | 0.327313 | + | 0.518214i | ||||
\(512\) | −17.3304 | −0.765902 | ||||||||
\(513\) | −9.52689 | − | 21.2173i | −0.420623 | − | 0.936767i | ||||
\(514\) | −11.2262 | + | 6.48142i | −0.495164 | + | 0.285883i | ||||
\(515\) | 15.7220 | + | 15.3112i | 0.692793 | + | 0.674694i | ||||
\(516\) | −3.71499 | + | 17.5685i | −0.163543 | + | 0.773410i | ||||
\(517\) | −31.6230 | −1.39078 | ||||||||
\(518\) | −6.14966 | + | 3.88424i | −0.270201 | + | 0.170664i | ||||
\(519\) | −18.8618 | + | 6.15051i | −0.827941 | + | 0.269977i | ||||
\(520\) | −5.35673 | + | 21.1050i | −0.234908 | + | 0.925513i | ||||
\(521\) | 7.91563 | + | 13.7103i | 0.346790 | + | 0.600658i | 0.985677 | − | 0.168642i | \(-0.0539382\pi\) |
−0.638887 | + | 0.769300i | \(0.720605\pi\) | |||||||
\(522\) | 0.915228 | − | 2.06733i | 0.0400584 | − | 0.0904845i | ||||
\(523\) | 10.9800 | − | 19.0179i | 0.480122 | − | 0.831595i | −0.519618 | − | 0.854398i | \(-0.673926\pi\) |
0.999740 | + | 0.0228034i | \(0.00725919\pi\) | |||||||
\(524\) | −26.2289 | −1.14581 | ||||||||
\(525\) | −21.2662 | + | 8.52918i | −0.928135 | + | 0.372244i | ||||
\(526\) | −5.64798 | −0.246263 | ||||||||
\(527\) | −0.426145 | + | 0.738105i | −0.0185632 | + | 0.0321524i | ||||
\(528\) | −8.76445 | − | 7.87487i | −0.381424 | − | 0.342710i | ||||
\(529\) | 11.2921 | + | 19.5585i | 0.490961 | + | 0.850370i | ||||
\(530\) | 2.55443 | − | 10.0642i | 0.110958 | − | 0.437161i | ||||
\(531\) | −27.4441 | + | 20.0277i | −1.19097 | + | 0.869126i | ||||
\(532\) | 0.745479 | + | 18.7462i | 0.0323206 | + | 0.812752i | ||||
\(533\) | 9.60532 | 0.416053 | ||||||||
\(534\) | −0.977680 | − | 0.206738i | −0.0423083 | − | 0.00894641i | ||||
\(535\) | 30.0833 | + | 29.2974i | 1.30062 | + | 1.26664i | ||||
\(536\) | −17.4879 | + | 10.0966i | −0.755361 | + | 0.436108i | ||||
\(537\) | −3.74260 | + | 17.6991i | −0.161505 | + | 0.763771i | ||||
\(538\) | 11.1221 | 0.479508 | ||||||||
\(539\) | 23.3689 | − | 16.0938i | 1.00657 | − | 0.693208i | ||||
\(540\) | −17.2903 | − | 6.31397i | −0.744054 | − | 0.271710i | ||||
\(541\) | −2.34667 | + | 4.06456i | −0.100891 | + | 0.174749i | −0.912052 | − | 0.410074i | \(-0.865503\pi\) |
0.811161 | + | 0.584823i | \(0.198836\pi\) | |||||||
\(542\) | 12.6457 | − | 7.30101i | 0.543181 | − | 0.313605i | ||||
\(543\) | 15.4111 | + | 13.8469i | 0.661352 | + | 0.594225i | ||||
\(544\) | 10.7527 | + | 6.20806i | 0.461017 | + | 0.266168i | ||||
\(545\) | 1.94975 | − | 0.550189i | 0.0835180 | − | 0.0235675i | ||||
\(546\) | −4.32701 | − | 11.6739i | −0.185179 | − | 0.499597i | ||||
\(547\) | 14.9485i | 0.639151i | 0.947561 | + | 0.319575i | \(0.103540\pi\) | ||||
−0.947561 | + | 0.319575i | \(0.896460\pi\) | |||||||
\(548\) | −15.7326 | + | 27.2497i | −0.672065 | + | 1.16405i | ||||
\(549\) | 8.49041 | − | 19.1782i | 0.362362 | − | 0.818508i | ||||
\(550\) | −6.23249 | + | 11.4867i | −0.265754 | + | 0.489796i | ||||
\(551\) | 2.61568 | − | 4.53049i | 0.111432 | − | 0.193005i | ||||
\(552\) | −0.800202 | − | 2.45398i | −0.0340589 | − | 0.104448i | ||||
\(553\) | 4.61874 | − | 8.78893i | 0.196409 | − | 0.373743i | ||||
\(554\) | 8.51867i | 0.361924i | ||||||||
\(555\) | −1.09969 | − | 16.4761i | −0.0466794 | − | 0.699370i | ||||
\(556\) | 0.313862 | − | 0.181208i | 0.0133107 | − | 0.00768494i | ||||
\(557\) | 0.614501 | + | 1.06435i | 0.0260373 | + | 0.0450979i | 0.878750 | − | 0.477282i | \(-0.158378\pi\) |
−0.852713 | + | 0.522379i | \(0.825044\pi\) | |||||||
\(558\) | 0.753144 | − | 0.0807609i | 0.0318831 | − | 0.00341888i | ||||
\(559\) | − | 27.5732i | − | 1.16622i | ||||||
\(560\) | 7.38243 | + | 6.63888i | 0.311964 | + | 0.280544i | ||||
\(561\) | 4.73755 | + | 14.5287i | 0.200020 | + | 0.613401i | ||||
\(562\) | −18.3554 | − | 10.5975i | −0.774276 | − | 0.447028i | ||||
\(563\) | −3.64387 | + | 2.10379i | −0.153571 | + | 0.0886643i | −0.574816 | − | 0.818282i | \(-0.694926\pi\) |
0.421245 | + | 0.906947i | \(0.361593\pi\) | |||||||
\(564\) | 15.9233 | + | 14.3071i | 0.670494 | + | 0.602440i | ||||
\(565\) | 4.85716 | − | 19.1367i | 0.204342 | − | 0.805086i | ||||
\(566\) | 10.1953 | 0.428542 | ||||||||
\(567\) | 23.0514 | − | 5.96937i | 0.968067 | − | 0.250690i | ||||
\(568\) | 18.8072i | 0.789132i | ||||||||
\(569\) | 22.3139 | + | 12.8829i | 0.935447 | + | 0.540081i | 0.888530 | − | 0.458818i | \(-0.151727\pi\) |
0.0469169 | + | 0.998899i | \(0.485060\pi\) | |||||||
\(570\) | 10.0312 | + | 4.93192i | 0.420160 | + | 0.206576i | ||||
\(571\) | −12.3419 | − | 21.3768i | −0.516492 | − | 0.894591i | −0.999817 | − | 0.0191497i | \(-0.993904\pi\) |
0.483324 | − | 0.875441i | \(-0.339429\pi\) | |||||||
\(572\) | 23.4320 | + | 13.5285i | 0.979743 | + | 0.565655i | ||||
\(573\) | −23.2972 | + | 7.59681i | −0.973253 | + | 0.317361i | ||||
\(574\) | −1.80922 | + | 3.44274i | −0.0755154 | + | 0.143697i | ||||
\(575\) | 2.74845 | − | 1.68534i | 0.114618 | − | 0.0702837i | ||||
\(576\) | −0.102925 | − | 0.959834i | −0.00428852 | − | 0.0399931i | ||||
\(577\) | 2.86692 | + | 4.96565i | 0.119351 | + | 0.206723i | 0.919511 | − | 0.393065i | \(-0.128585\pi\) |
−0.800159 | + | 0.599787i | \(0.795252\pi\) | |||||||
\(578\) | 3.95345 | + | 6.84757i | 0.164442 | + | 0.284822i | ||||
\(579\) | 2.21855 | − | 10.4917i | 0.0921996 | − | 0.436020i | ||||
\(580\) | −1.12440 | − | 3.98463i | −0.0466883 | − | 0.165453i | ||||
\(581\) | −0.554521 | − | 13.9443i | −0.0230054 | − | 0.578507i | ||||
\(582\) | −1.35022 | − | 4.14073i | −0.0559684 | − | 0.171639i | ||||
\(583\) | −25.2804 | − | 14.5956i | −1.04701 | − | 0.604489i | ||||
\(584\) | −6.05152 | − | 10.4815i | −0.250414 | − | 0.433729i | ||||
\(585\) | 27.9808 | + | 3.99283i | 1.15687 | + | 0.165083i | ||||
\(586\) | 11.6038 | + | 6.69944i | 0.479347 | + | 0.276751i | ||||
\(587\) | − | 31.0435i | − | 1.28130i | −0.767832 | − | 0.640652i | \(-0.778664\pi\) | ||
0.767832 | − | 0.640652i | \(-0.221336\pi\) | |||||||
\(588\) | −19.0484 | − | 2.46894i | −0.785542 | − | 0.101818i | ||||
\(589\) | 1.75268 | 0.0722178 | ||||||||
\(590\) | 4.01706 | − | 15.8268i | 0.165380 | − | 0.651578i | ||||
\(591\) | −15.1359 | + | 16.8457i | −0.622608 | + | 0.692941i | ||||
\(592\) | −6.19659 | + | 3.57760i | −0.254678 | + | 0.147039i | ||||
\(593\) | −28.2124 | − | 16.2884i | −1.15854 | − | 0.668885i | −0.207588 | − | 0.978216i | \(-0.566561\pi\) |
−0.950954 | + | 0.309331i | \(0.899895\pi\) | |||||||
\(594\) | 7.94818 | − | 11.0126i | 0.326118 | − | 0.451854i | ||||
\(595\) | −3.98677 | − | 12.2442i | −0.163442 | − | 0.501963i | ||||
\(596\) | − | 15.7766i | − | 0.646236i | ||||||
\(597\) | −6.07449 | + | 28.7268i | −0.248612 | + | 1.17571i | ||||
\(598\) | 0.875911 | + | 1.51712i | 0.0358187 | + | 0.0620397i | ||||
\(599\) | −31.8553 | + | 18.3917i | −1.30157 | + | 0.751463i | −0.980674 | − | 0.195650i | \(-0.937318\pi\) |
−0.320899 | + | 0.947113i | \(0.603985\pi\) | |||||||
\(600\) | 18.8580 | − | 6.70642i | 0.769873 | − | 0.273788i | ||||
\(601\) | − | 42.5075i | − | 1.73392i | −0.498380 | − | 0.866959i | \(-0.666071\pi\) | ||
0.498380 | − | 0.866959i | \(-0.333929\pi\) | |||||||
\(602\) | 9.88279 | + | 5.19358i | 0.402793 | + | 0.211675i | ||||
\(603\) | 15.4517 | + | 21.1736i | 0.629242 | + | 0.862257i | ||||
\(604\) | −4.01954 | + | 6.96205i | −0.163553 | + | 0.283282i | ||||
\(605\) | 8.69989 | + | 8.47261i | 0.353701 | + | 0.344461i | ||||
\(606\) | 4.91436 | − | 5.46951i | 0.199632 | − | 0.222184i | ||||
\(607\) | 8.47607 | − | 14.6810i | 0.344033 | − | 0.595883i | −0.641144 | − | 0.767420i | \(-0.721540\pi\) |
0.985178 | + | 0.171537i | \(0.0548734\pi\) | |||||||
\(608\) | − | 25.5329i | − | 1.03550i | ||||||
\(609\) | 4.12307 | + | 3.41848i | 0.167075 | + | 0.138524i | ||||
\(610\) | 2.73755 | + | 9.70127i | 0.110840 | + | 0.392793i | ||||
\(611\) | −28.4666 | − | 16.4352i | −1.15163 | − | 0.664896i | ||||
\(612\) | 4.18765 | − | 9.45913i | 0.169276 | − | 0.382363i | ||||
\(613\) | 30.0373 | − | 17.3421i | 1.21320 | − | 0.700439i | 0.249742 | − | 0.968312i | \(-0.419654\pi\) |
0.963454 | + | 0.267873i | \(0.0863207\pi\) | |||||||
\(614\) | 4.18664 | − | 7.25148i | 0.168959 | − | 0.292646i | ||||
\(615\) | −4.91407 | − | 7.33541i | −0.198154 | − | 0.295792i | ||||
\(616\) | −20.9558 | + | 13.2361i | −0.844333 | + | 0.533296i | ||||
\(617\) | −45.7116 | −1.84028 | −0.920140 | − | 0.391590i | \(-0.871925\pi\) | ||||
−0.920140 | + | 0.391590i | \(0.871925\pi\) | |||||||
\(618\) | 10.7240 | + | 2.26766i | 0.431381 | + | 0.0912188i | ||||
\(619\) | −34.2356 | + | 19.7659i | −1.37604 | + | 0.794459i | −0.991681 | − | 0.128723i | \(-0.958912\pi\) |
−0.384363 | + | 0.923182i | \(0.625579\pi\) | |||||||
\(620\) | 0.967773 | − | 0.993733i | 0.0388667 | − | 0.0399093i | ||||
\(621\) | −3.05653 | + | 1.37243i | −0.122654 | + | 0.0550736i | ||||
\(622\) | 0.295096 | 0.0118323 | ||||||||
\(623\) | 1.10126 | − | 2.09556i | 0.0441209 | − | 0.0839570i | ||||
\(624\) | −3.79689 | − | 11.6439i | −0.151997 | − | 0.466130i | ||||
\(625\) | 13.6281 | + | 20.9589i | 0.545123 | + | 0.838356i | ||||
\(626\) | 8.94408 | + | 15.4916i | 0.357477 | + | 0.619169i | ||||
\(627\) | 21.0032 | − | 23.3758i | 0.838787 | − | 0.933540i | ||||
\(628\) | 13.3499 | − | 23.1228i | 0.532720 | − | 0.922698i | ||||
\(629\) | 9.28004 | 0.370020 | ||||||||
\(630\) | −6.70147 | + | 9.27682i | −0.266993 | + | 0.369597i | ||||
\(631\) | −21.1685 | −0.842703 | −0.421351 | − | 0.906897i | \(-0.638444\pi\) | ||||
−0.421351 | + | 0.906897i | \(0.638444\pi\) | |||||||
\(632\) | −4.33646 | + | 7.51097i | −0.172495 | + | 0.298770i | ||||
\(633\) | 21.3359 | − | 23.7461i | 0.848024 | − | 0.943821i | ||||
\(634\) | 1.45835 | + | 2.52594i | 0.0579187 | + | 0.100318i | ||||
\(635\) | −34.2981 | − | 8.70534i | −1.36108 | − | 0.345461i | ||||
\(636\) | 6.12612 | + | 18.7870i | 0.242916 | + | 0.744952i | ||||
\(637\) | 29.4006 | − | 2.34204i | 1.16489 | − | 0.0927951i | ||||
\(638\) | 3.05480 | 0.120941 | ||||||||
\(639\) | 24.2738 | − | 2.60292i | 0.960257 | − | 0.102970i | ||||
\(640\) | −17.9436 | − | 17.4749i | −0.709284 | − | 0.690754i | ||||
\(641\) | 30.6083 | − | 17.6717i | 1.20896 | − | 0.697991i | 0.246424 | − | 0.969162i | \(-0.420744\pi\) |
0.962531 | + | 0.271171i | \(0.0874109\pi\) | |||||||
\(642\) | 20.5199 | + | 4.33908i | 0.809854 | + | 0.171250i | ||||
\(643\) | −26.0538 | −1.02746 | −0.513731 | − | 0.857951i | \(-0.671737\pi\) | ||||
−0.513731 | + | 0.857951i | \(0.671737\pi\) | |||||||
\(644\) | 2.70055 | − | 0.107392i | 0.106416 | − | 0.00423185i | ||||
\(645\) | −21.0572 | + | 14.1064i | −0.829126 | + | 0.555440i | ||||
\(646\) | −3.14099 | + | 5.44036i | −0.123581 | + | 0.214048i | ||||
\(647\) | −35.3707 | + | 20.4213i | −1.39057 | + | 0.802844i | −0.993378 | − | 0.114894i | \(-0.963347\pi\) |
−0.397188 | + | 0.917737i | \(0.630014\pi\) | |||||||
\(648\) | −20.3273 | + | 4.41016i | −0.798530 | + | 0.173248i | ||||
\(649\) | −39.7555 | − | 22.9528i | −1.56054 | − | 0.900977i | ||||
\(650\) | −11.5803 | + | 7.10102i | −0.454217 | + | 0.278525i | ||||
\(651\) | −0.301179 | + | 1.76895i | −0.0118041 | + | 0.0693306i | ||||
\(652\) | − | 7.61525i | − | 0.298236i | ||||||
\(653\) | 12.0041 | − | 20.7918i | 0.469758 | − | 0.813645i | −0.529644 | − | 0.848220i | \(-0.677674\pi\) |
0.999402 | + | 0.0345747i | \(0.0110077\pi\) | |||||||
\(654\) | 0.676274 | − | 0.752669i | 0.0264444 | − | 0.0294317i | ||||
\(655\) | −26.5219 | − | 25.8291i | −1.03630 | − | 1.00923i | ||||
\(656\) | −1.91293 | + | 3.31329i | −0.0746874 | + | 0.129362i | ||||
\(657\) | −12.6906 | + | 9.26115i | −0.495109 | + | 0.361312i | ||||
\(658\) | 11.2525 | − | 7.10731i | 0.438670 | − | 0.277072i | ||||
\(659\) | − | 38.7398i | − | 1.50909i | −0.656248 | − | 0.754545i | \(-0.727858\pi\) | ||
0.656248 | − | 0.754545i | \(-0.272142\pi\) | |||||||
\(660\) | −1.65633 | − | 24.8158i | −0.0644724 | − | 0.965953i | ||||
\(661\) | 44.0826 | − | 25.4511i | 1.71461 | − | 0.989933i | 0.786539 | − | 0.617541i | \(-0.211871\pi\) |
0.928075 | − | 0.372392i | \(-0.121462\pi\) | |||||||
\(662\) | −7.38188 | − | 12.7858i | −0.286905 | − | 0.496934i | ||||
\(663\) | −3.28620 | + | 15.5407i | −0.127625 | + | 0.603551i | ||||
\(664\) | 12.1903i | 0.473076i | ||||||||
\(665\) | −17.7067 | + | 19.6898i | −0.686635 | + | 0.763537i | ||||
\(666\) | −4.86179 | − | 6.66217i | −0.188391 | − | 0.258154i | ||||
\(667\) | −0.652654 | − | 0.376810i | −0.0252709 | − | 0.0145901i | ||||
\(668\) | −6.10653 | + | 3.52560i | −0.236269 | + | 0.136410i | ||||
\(669\) | −0.726307 | + | 0.808354i | −0.0280807 | + | 0.0312528i | ||||
\(670\) | −12.2107 | − | 3.09924i | −0.471739 | − | 0.119734i | ||||
\(671\) | 28.3389 | 1.09401 | ||||||||
\(672\) | 25.7699 | + | 4.38756i | 0.994097 | + | 0.169254i | ||||
\(673\) | 3.33192i | 0.128436i | 0.997936 | + | 0.0642181i | \(0.0204553\pi\) | ||||
−0.997936 | + | 0.0642181i | \(0.979545\pi\) | |||||||
\(674\) | −17.4570 | − | 10.0788i | −0.672420 | − | 0.388222i | ||||
\(675\) | −11.2657 | − | 23.4112i | −0.433617 | − | 0.901097i | ||||
\(676\) | 3.76466 | + | 6.52057i | 0.144794 | + | 0.250791i | ||||
\(677\) | 28.0352 | + | 16.1861i | 1.07748 | + | 0.622083i | 0.930215 | − | 0.367014i | \(-0.119620\pi\) |
0.147264 | + | 0.989097i | \(0.452953\pi\) | |||||||
\(678\) | −3.05713 | − | 9.37531i | −0.117408 | − | 0.360057i | ||||
\(679\) | 10.3094 | − | 0.409974i | 0.395640 | − | 0.0157334i | ||||
\(680\) | 3.05480 | + | 10.8255i | 0.117146 | + | 0.415140i | ||||
\(681\) | 1.94552 | − | 9.20055i | 0.0745526 | − | 0.352566i | ||||
\(682\) | 0.511729 | + | 0.886341i | 0.0195951 | + | 0.0339398i | ||||
\(683\) | 10.8868 | + | 18.8566i | 0.416573 | + | 0.721526i | 0.995592 | − | 0.0937881i | \(-0.0298976\pi\) |
−0.579019 | + | 0.815314i | \(0.696564\pi\) | |||||||
\(684\) | −21.1518 | + | 2.26814i | −0.808758 | + | 0.0867245i | ||||
\(685\) | −42.7427 | + | 12.0614i | −1.63312 | + | 0.460841i | ||||
\(686\) | −4.69835 | + | 10.9789i | −0.179384 | + | 0.419176i | ||||
\(687\) | 23.6698 | − | 7.71833i | 0.903060 | − | 0.294473i | ||||
\(688\) | 9.51121 | + | 5.49130i | 0.362611 | + | 0.209354i | ||||
\(689\) | −15.1713 | − | 26.2775i | −0.577982 | − | 1.00109i | ||||
\(690\) | 0.710484 | − | 1.44507i | 0.0270477 | − | 0.0550130i | ||||
\(691\) | 5.15554 | + | 2.97655i | 0.196126 | + | 0.113233i | 0.594847 | − | 0.803839i | \(-0.297213\pi\) |
−0.398721 | + | 0.917072i | \(0.630546\pi\) | |||||||
\(692\) | 18.1460i | 0.689809i | ||||||||
\(693\) | 19.9837 | + | 25.2151i | 0.759116 | + | 0.957842i | ||||
\(694\) | 1.79689 | 0.0682088 | ||||||||
\(695\) | 0.495815 | + | 0.125845i | 0.0188073 | + | 0.00477356i | ||||
\(696\) | −3.48011 | − | 3.12688i | −0.131913 | − | 0.118524i | ||||
\(697\) | 4.29722 | − | 2.48100i | 0.162769 | − | 0.0939747i | ||||
\(698\) | 9.24939 | + | 5.34014i | 0.350095 | + | 0.202127i | ||||
\(699\) | −4.52688 | − | 13.8826i | −0.171222 | − | 0.525088i | ||||
\(700\) | 1.38667 | + | 20.9114i | 0.0524110 | + | 0.790377i | ||||
\(701\) | − | 19.3393i | − | 0.730434i | −0.930922 | − | 0.365217i | \(-0.880995\pi\) | ||
0.930922 | − | 0.365217i | \(-0.119005\pi\) | |||||||
\(702\) | 12.8783 | − | 5.78257i | 0.486062 | − | 0.218249i | ||||
\(703\) | −9.54188 | − | 16.5270i | −0.359879 | − | 0.623329i | ||||
\(704\) | 1.12958 | − | 0.652166i | 0.0425728 | − | 0.0245794i | ||||
\(705\) | 2.01220 | + | 30.1476i | 0.0757838 | + | 1.13542i | ||||
\(706\) | 2.11301i | 0.0795242i | ||||||||
\(707\) | 9.30205 | + | 14.7273i | 0.349840 | + | 0.553878i | ||||
\(708\) | 9.63383 | + | 29.5441i | 0.362061 | + | 1.11034i | ||||
\(709\) | 16.9012 | − | 29.2738i | 0.634739 | − | 1.09940i | −0.351831 | − | 0.936063i | \(-0.614441\pi\) |
0.986570 | − | 0.163337i | \(-0.0522257\pi\) | |||||||
\(710\) | −8.18605 | + | 8.40564i | −0.307217 | + | 0.315458i | ||||
\(711\) | 10.2943 | + | 4.55741i | 0.386068 | + | 0.170916i | ||||
\(712\) | −1.03395 | + | 1.79086i | −0.0387490 | + | 0.0671152i | ||||
\(713\) | − | 0.252487i | − | 0.00945573i | ||||||
\(714\) | −4.95112 | − | 4.10502i | −0.185291 | − | 0.153627i | ||||
\(715\) | 10.3716 | + | 36.7545i | 0.387875 | + | 1.37454i | ||||
\(716\) | 14.3297 | + | 8.27324i | 0.535525 | + | 0.309185i | ||||
\(717\) | −3.50250 | − | 3.14700i | −0.130803 | − | 0.117527i | ||||
\(718\) | −9.49685 | + | 5.48301i | −0.354419 | + | 0.204624i | ||||
\(719\) | −13.7118 | + | 23.7495i | −0.511363 | + | 0.885707i | 0.488550 | + | 0.872536i | \(0.337526\pi\) |
−0.999913 | + | 0.0131713i | \(0.995807\pi\) | |||||||
\(720\) | −6.94977 | + | 8.85663i | −0.259003 | + | 0.330067i | ||||
\(721\) | −12.0795 | + | 22.9858i | −0.449862 | + | 0.856036i | ||||
\(722\) | 0.667157 | 0.0248290 | ||||||||
\(723\) | 0.548060 | − | 2.59182i | 0.0203826 | − | 0.0963909i | ||||
\(724\) | 16.4110 | − | 9.47490i | 0.609910 | − | 0.352132i | ||||
\(725\) | 2.78693 | − | 5.13641i | 0.103504 | − | 0.190762i | ||||
\(726\) | 5.93420 | + | 1.25483i | 0.220239 | + | 0.0465712i | ||||
\(727\) | −6.14612 | −0.227947 | −0.113973 | − | 0.993484i | \(-0.536358\pi\) | ||||
−0.113973 | + | 0.993484i | \(0.536358\pi\) | |||||||
\(728\) | −25.7432 | + | 1.02372i | −0.954105 | + | 0.0379418i | ||||
\(729\) | 8.50535 | + | 25.6254i | 0.315013 | + | 0.949087i | ||||
\(730\) | 1.85756 | − | 7.31859i | 0.0687514 | − | 0.270873i | ||||
\(731\) | −7.12202 | − | 12.3357i | −0.263417 | − | 0.456252i | ||||
\(732\) | −14.2697 | − | 12.8213i | −0.527422 | − | 0.473889i | ||||
\(733\) | 8.41748 | − | 14.5795i | 0.310907 | − | 0.538506i | −0.667652 | − | 0.744473i | \(-0.732701\pi\) |
0.978559 | + | 0.205967i | \(0.0660340\pi\) | |||||||
\(734\) | 11.0370 | 0.407384 | ||||||||
\(735\) | −16.8299 | − | 21.2545i | −0.620780 | − | 0.783985i | ||||
\(736\) | −3.67822 | −0.135581 | ||||||||
\(737\) | −17.7085 | + | 30.6721i | −0.652302 | + | 1.12982i | ||||
\(738\) | −4.03242 | − | 1.78520i | −0.148436 | − | 0.0657139i | ||||
\(739\) | 19.3419 | + | 33.5012i | 0.711503 | + | 1.23236i | 0.964293 | + | 0.264838i | \(0.0853186\pi\) |
−0.252790 | + | 0.967521i | \(0.581348\pi\) | |||||||
\(740\) | −14.6392 | − | 3.71564i | −0.538149 | − | 0.136590i | ||||
\(741\) | 31.0557 | − | 10.1267i | 1.14086 | − | 0.372015i | ||||
\(742\) | 12.2760 | − | 0.488178i | 0.450666 | − | 0.0179216i | ||||
\(743\) | −39.3563 | −1.44384 | −0.721920 | − | 0.691976i | \(-0.756740\pi\) | ||||
−0.721920 | + | 0.691976i | \(0.756740\pi\) | |||||||
\(744\) | 0.324280 | − | 1.53355i | 0.0118887 | − | 0.0562225i | ||||
\(745\) | 15.5361 | − | 15.9529i | 0.569200 | − | 0.584469i | ||||
\(746\) | 16.1457 | − | 9.32174i | 0.591137 | − | 0.341293i | ||||
\(747\) | 15.7336 | − | 1.68714i | 0.575664 | − | 0.0617294i | ||||
\(748\) | 13.9773 | 0.511062 | ||||||||
\(749\) | −23.1135 | + | 43.9824i | −0.844549 | + | 1.60708i | ||||
\(750\) | 11.3474 | + | 5.21080i | 0.414348 | + | 0.190271i | ||||
\(751\) | −16.1416 | + | 27.9580i | −0.589014 | + | 1.02020i | 0.405347 | + | 0.914163i | \(0.367151\pi\) |
−0.994362 | + | 0.106040i | \(0.966183\pi\) | |||||||
\(752\) | 11.3384 | − | 6.54623i | 0.413469 | − | 0.238717i | ||||
\(753\) | −10.1990 | + | 11.3512i | −0.371673 | + | 0.413659i | ||||
\(754\) | 2.74989 | + | 1.58765i | 0.100145 | + | 0.0578187i | ||||
\(755\) | −10.9204 | + | 3.08156i | −0.397433 | + | 0.112150i | ||||
\(756\) | 1.34551 | − | 21.7379i | 0.0489359 | − | 0.790600i | ||||
\(757\) | 40.0667i | 1.45625i | 0.685446 | + | 0.728124i | \(0.259607\pi\) | ||||
−0.685446 | + | 0.728124i | \(0.740393\pi\) | |||||||
\(758\) | −0.180403 | + | 0.312467i | −0.00655252 | + | 0.0113493i | ||||
\(759\) | −3.36748 | − | 3.02568i | −0.122232 | − | 0.109825i | ||||
\(760\) | 16.1384 | − | 16.5713i | 0.585402 | − | 0.601105i | ||||
\(761\) | 6.58977 | − | 11.4138i | 0.238879 | − | 0.413750i | −0.721514 | − | 0.692400i | \(-0.756553\pi\) |
0.960393 | + | 0.278649i | \(0.0898868\pi\) | |||||||
\(762\) | −16.8031 | + | 5.47920i | −0.608712 | + | 0.198491i | ||||
\(763\) | 1.28007 | + | 2.02665i | 0.0463417 | + | 0.0733698i | ||||
\(764\) | 22.4131i | 0.810877i | ||||||||
\(765\) | 13.5494 | − | 5.44099i | 0.489879 | − | 0.196719i | ||||
\(766\) | −2.12110 | + | 1.22462i | −0.0766384 | + | 0.0442472i | ||||
\(767\) | −23.8582 | − | 41.3236i | −0.861469 | − | 1.49211i | ||||
\(768\) | −13.3299 | − | 2.81871i | −0.481002 | − | 0.101711i | ||||
\(769\) | 12.7709i | 0.460530i | 0.973128 | + | 0.230265i | \(0.0739593\pi\) | ||||
−0.973128 | + | 0.230265i | \(0.926041\pi\) | |||||||
\(770\) | −15.1271 | − | 3.20555i | −0.545142 | − | 0.115520i | ||||
\(771\) | 33.1047 | − | 10.7949i | 1.19224 | − | 0.388768i | ||||
\(772\) | −8.49437 | − | 4.90423i | −0.305719 | − | 0.176507i | ||||
\(773\) | 15.7518 | − | 9.09428i | 0.566551 | − | 0.327099i | −0.189219 | − | 0.981935i | \(-0.560596\pi\) |
0.755771 | + | 0.654836i | \(0.227262\pi\) | |||||||
\(774\) | −5.12462 | + | 11.5756i | −0.184201 | + | 0.416075i | ||||
\(775\) | 1.95717 | − | 0.0518156i | 0.0703036 | − | 0.00186127i | ||||
\(776\) | −9.01267 | −0.323536 | ||||||||
\(777\) | 18.3201 | − | 6.79047i | 0.657231 | − | 0.243607i | ||||
\(778\) | − | 5.87388i | − | 0.210589i | ||||||
\(779\) | −8.83694 | − | 5.10201i | −0.316616 | − | 0.182798i | ||||
\(780\) | 11.4063 | − | 23.1996i | 0.408412 | − | 0.830680i | ||||
\(781\) | 16.4930 | + | 28.5667i | 0.590167 | + | 1.02220i | ||||
\(782\) | 0.783728 | + | 0.452486i | 0.0280261 | + | 0.0161809i | ||||
\(783\) | −3.55412 | + | 4.92442i | −0.127014 | + | 0.175985i | ||||
\(784\) | −5.04735 | + | 10.6080i | −0.180263 | + | 0.378856i | ||||
\(785\) | 36.2693 | − | 10.2347i | 1.29451 | − | 0.365291i | ||||
\(786\) | −18.0906 | − | 3.82540i | −0.645272 | − | 0.136447i | ||||
\(787\) | −0.619297 | − | 1.07265i | −0.0220756 | − | 0.0382360i | 0.854777 | − | 0.518996i | \(-0.173694\pi\) |
−0.876852 | + | 0.480760i | \(0.840361\pi\) | |||||||
\(788\) | 10.3569 | + | 17.9388i | 0.368951 | + | 0.639042i | ||||
\(789\) | 14.8431 | + | 3.13869i | 0.528430 | + | 0.111740i | ||||
\(790\) | −5.20736 | + | 1.46944i | −0.185270 | + | 0.0522803i | ||||
\(791\) | 23.3423 | − | 0.928251i | 0.829958 | − | 0.0330048i | ||||
\(792\) | −16.5672 | − | 22.7022i | −0.588690 | − | 0.806689i | ||||
\(793\) | 25.5102 | + | 14.7283i | 0.905895 | + | 0.523019i | ||||
\(794\) | 7.81449 | + | 13.5351i | 0.277326 | + | 0.480343i | ||||
\(795\) | −12.3060 | + | 25.0296i | −0.436450 | + | 0.887709i | ||||
\(796\) | 23.2580 | + | 13.4280i | 0.824359 | + | 0.475944i | ||||
\(797\) | − | 51.4416i | − | 1.82216i | −0.412235 | − | 0.911078i | \(-0.635252\pi\) | ||
0.412235 | − | 0.911078i | \(-0.364748\pi\) | |||||||
\(798\) | −2.21990 | + | 13.0384i | −0.0785837 | + | 0.461555i | ||||
\(799\) | −16.9805 | −0.600725 | ||||||||
\(800\) | −0.754847 | − | 28.5119i | −0.0266879 | − | 1.00805i | ||||
\(801\) | 2.45450 | + | 1.08663i | 0.0867254 | + | 0.0383942i | ||||
\(802\) | −16.8617 | + | 9.73510i | −0.595407 | + | 0.343758i | ||||
\(803\) | −18.3836 | − | 10.6138i | −0.648745 | − | 0.374553i | ||||
\(804\) | 22.7938 | − | 7.43268i | 0.803876 | − | 0.262130i | ||||
\(805\) | 2.83647 | + | 2.55079i | 0.0999726 | + | 0.0899035i | ||||
\(806\) | 1.06383i | 0.0374718i | ||||||||
\(807\) | −29.2294 | − | 6.18077i | −1.02892 | − | 0.217574i | ||||
\(808\) | −7.60797 | − | 13.1774i | −0.267647 | − | 0.463579i | ||||
\(809\) | −2.44518 | + | 1.41172i | −0.0859679 | + | 0.0496336i | −0.542368 | − | 0.840141i | \(-0.682472\pi\) |
0.456400 | + | 0.889775i | \(0.349139\pi\) | |||||||
\(810\) | −11.0046 | − | 6.87661i | −0.386662 | − | 0.241619i | ||||
\(811\) | − | 0.162805i | − | 0.00571687i | −0.999996 | − | 0.00285843i | \(-0.999090\pi\) | ||
0.999996 | − | 0.00285843i | \(-0.000909869\pi\) | |||||||
\(812\) | 4.14180 | − | 2.61604i | 0.145349 | − | 0.0918050i | ||||
\(813\) | −37.2909 | + | 12.1599i | −1.30785 | + | 0.426467i | ||||
\(814\) | 5.57189 | − | 9.65080i | 0.195295 | − | 0.338260i | ||||
\(815\) | 7.49917 | − | 7.70033i | 0.262684 | − | 0.269731i | ||||
\(816\) | −4.70621 | − | 4.22853i | −0.164750 | − | 0.148028i | ||||
\(817\) | −14.6459 | + | 25.3675i | −0.512396 | + | 0.887496i | ||||
\(818\) | 15.9051i | 0.556108i | ||||||||
\(819\) | 4.88415 | + | 33.0842i | 0.170666 | + | 1.15606i | ||||
\(820\) | −7.77222 | + | 2.19320i | −0.271418 | + | 0.0765900i | ||||
\(821\) | 43.3765 | + | 25.0434i | 1.51385 | + | 0.874022i | 0.999868 | + | 0.0162217i | \(0.00516375\pi\) |
0.513983 | + | 0.857801i | \(0.328170\pi\) | |||||||
\(822\) | −14.8254 | + | 16.5002i | −0.517096 | + | 0.575509i | ||||
\(823\) | 33.1050 | − | 19.1132i | 1.15397 | − | 0.666243i | 0.204116 | − | 0.978947i | \(-0.434568\pi\) |
0.949851 | + | 0.312704i | \(0.101235\pi\) | |||||||
\(824\) | 11.3412 | − | 19.6435i | 0.395090 | − | 0.684315i | ||||
\(825\) | 22.7627 | − | 26.7241i | 0.792494 | − | 0.930414i | ||||
\(826\) | 19.3050 | − | 0.767700i | 0.671708 | − | 0.0267117i | ||||
\(827\) | 7.13112 | 0.247973 | 0.123987 | − | 0.992284i | \(-0.460432\pi\) | ||||
0.123987 | + | 0.992284i | \(0.460432\pi\) | |||||||
\(828\) | 0.326744 | + | 3.04708i | 0.0113551 | + | 0.105894i | ||||
\(829\) | 0.876338 | − | 0.505954i | 0.0304365 | − | 0.0175725i | −0.484705 | − | 0.874678i | \(-0.661073\pi\) |
0.515141 | + | 0.857105i | \(0.327740\pi\) | |||||||
\(830\) | −5.30598 | + | 5.44831i | −0.184173 | + | 0.189114i | ||||
\(831\) | 4.73399 | − | 22.3875i | 0.164220 | − | 0.776612i | ||||
\(832\) | 1.35578 | 0.0470032 | ||||||||
\(833\) | 12.5483 | − | 8.64180i | 0.434772 | − | 0.299421i | ||||
\(834\) | 0.242906 | − | 0.0792075i | 0.00841115 | − | 0.00274273i | ||||
\(835\) | −9.64661 | − | 2.44845i | −0.333835 | − | 0.0847319i | ||||
\(836\) | −14.3717 | − | 24.8925i | −0.497056 | − | 0.860927i | ||||
\(837\) | −2.02418 | − | 0.206294i | −0.0699658 | − | 0.00713056i | ||||
\(838\) | 12.7225 | − | 22.0360i | 0.439492 | − | 0.761222i | ||||
\(839\) | −29.5215 | −1.01920 | −0.509598 | − | 0.860412i | \(-0.670206\pi\) | ||||
−0.509598 | + | 0.860412i | \(0.670206\pi\) | |||||||
\(840\) | 13.9520 | + | 19.1359i | 0.481389 | + | 0.660250i | ||||
\(841\) | 27.6340 | 0.952897 | ||||||||
\(842\) | −9.97394 | + | 17.2754i | −0.343725 | + | 0.595348i | ||||
\(843\) | 42.3496 | + | 38.0512i | 1.45860 | + | 1.31055i | ||||
\(844\) | −14.5993 | − | 25.2868i | −0.502530 | − | 0.870408i | ||||
\(845\) | −2.61446 | + | 10.3007i | −0.0899402 | + | 0.354355i | ||||
\(846\) | 8.89603 | + | 12.1903i | 0.305852 | + | 0.419112i | ||||
\(847\) | −6.68427 | + | 12.7194i | −0.229674 | + | 0.437044i | ||||
\(848\) | 12.0857 | 0.415024 | ||||||||
\(849\) | −26.7938 | − | 5.66576i | −0.919562 | − | 0.194448i | ||||
\(850\) | −3.34663 | + | 6.16797i | −0.114789 | + | 0.211560i | ||||
\(851\) | −2.38085 | + | 1.37459i | −0.0816146 | + | 0.0471202i | ||||
\(852\) | 4.61957 | − | 21.8463i | 0.158264 | − | 0.748443i | ||||
\(853\) | −22.0904 | −0.756362 | −0.378181 | − | 0.925732i | \(-0.623450\pi\) | ||||
−0.378181 | + | 0.925732i | \(0.623450\pi\) | |||||||
\(854\) | −10.0839 | + | 6.36920i | −0.345065 | + | 0.217950i | ||||
\(855\) | −23.6216 | − | 18.5359i | −0.807843 | − | 0.633913i | ||||
\(856\) | 21.7009 | − | 37.5871i | 0.741722 | − | 1.28470i | ||||
\(857\) | 12.4112 | − | 7.16559i | 0.423957 | − | 0.244772i | −0.272812 | − | 0.962067i | \(-0.587954\pi\) |
0.696769 | + | 0.717296i | \(0.254620\pi\) | |||||||
\(858\) | 14.1885 | + | 12.7484i | 0.484387 | + | 0.435223i | ||||
\(859\) | 23.7901 | + | 13.7352i | 0.811709 | + | 0.468640i | 0.847549 | − | 0.530717i | \(-0.178077\pi\) |
−0.0358402 | + | 0.999358i | \(0.511411\pi\) | |||||||
\(860\) | 6.29585 | + | 22.3111i | 0.214687 | + | 0.760802i | ||||
\(861\) | 6.66791 | − | 8.04225i | 0.227242 | − | 0.274079i | ||||
\(862\) | 19.8231i | 0.675176i | ||||||||
\(863\) | 8.11130 | − | 14.0492i | 0.276112 | − | 0.478240i | −0.694303 | − | 0.719683i | \(-0.744287\pi\) |
0.970415 | + | 0.241443i | \(0.0776206\pi\) | |||||||
\(864\) | −3.00528 | + | 29.4881i | −0.102242 | + | 1.00321i | ||||
\(865\) | −17.8694 | + | 18.3488i | −0.607578 | + | 0.623877i | ||||
\(866\) | −0.953847 | + | 1.65211i | −0.0324131 | + | 0.0561411i | ||||
\(867\) | −6.58451 | − | 20.1927i | −0.223622 | − | 0.685782i | ||||
\(868\) | 1.45286 | + | 0.763502i | 0.0493131 | + | 0.0259149i | ||||
\(869\) | 15.2115i | 0.516014i | ||||||||
\(870\) | −0.194380 | − | 2.91228i | −0.00659009 | − | 0.0987355i | ||||
\(871\) | −31.8819 | + | 18.4070i | −1.08028 | + | 0.623698i | ||||
\(872\) | −1.04695 | − | 1.81336i | −0.0354541 | − | 0.0614083i | ||||
\(873\) | 1.24736 | + | 11.6324i | 0.0422167 | + | 0.393696i | ||||
\(874\) | − | 1.86101i | − | 0.0629496i | ||||||
\(875\) | −19.1905 | + | 22.5106i | −0.648757 | + | 0.760996i | ||||
\(876\) | 4.45486 | + | 13.6617i | 0.150516 | + | 0.461587i | ||||
\(877\) | −38.5317 | − | 22.2463i | −1.30112 | − | 0.751204i | −0.320527 | − | 0.947240i | \(-0.603860\pi\) |
−0.980597 | + | 0.196036i | \(0.937193\pi\) | |||||||
\(878\) | 9.72189 | − | 5.61294i | 0.328098 | − | 0.189427i | ||||
\(879\) | −26.7722 | − | 24.0549i | −0.903004 | − | 0.811351i | ||||
\(880\) | −14.7438 | − | 3.74217i | −0.497012 | − | 0.126149i | ||||
\(881\) | −0.841670 | −0.0283566 | −0.0141783 | − | 0.999899i | \(-0.504513\pi\) | ||||
−0.0141783 | + | 0.999899i | \(0.504513\pi\) | |||||||
\(882\) | −12.7780 | − | 4.48103i | −0.430257 | − | 0.150884i | ||||
\(883\) | − | 51.7706i | − | 1.74222i | −0.491088 | − | 0.871110i | \(-0.663400\pi\) | ||
0.491088 | − | 0.871110i | \(-0.336600\pi\) | |||||||
\(884\) | 12.5822 | + | 7.26434i | 0.423185 | + | 0.244326i | ||||
\(885\) | −19.3523 | + | 39.3612i | −0.650520 | + | 1.32311i | ||||
\(886\) | −10.2505 | − | 17.7543i | −0.344371 | − | 0.596468i | ||||
\(887\) | 48.4743 | + | 27.9867i | 1.62761 | + | 0.939700i | 0.984804 | + | 0.173669i | \(0.0555623\pi\) |
0.642804 | + | 0.766031i | \(0.277771\pi\) | |||||||
\(888\) | −16.2262 | + | 5.29107i | −0.544514 | + | 0.177557i | ||||
\(889\) | −1.66368 | − | 41.8358i | −0.0557980 | − | 1.40313i | ||||
\(890\) | −1.24160 | + | 0.350362i | −0.0416186 | + | 0.0117441i | ||||
\(891\) | −27.0081 | + | 24.5248i | −0.904806 | + | 0.821611i | ||||
\(892\) | 0.496986 | + | 0.860804i | 0.0166403 | + | 0.0288219i | ||||
\(893\) | 17.4596 | + | 30.2409i | 0.584262 | + | 1.01197i | ||||
\(894\) | 2.30097 | − | 10.8815i | 0.0769560 | − | 0.363931i | ||||
\(895\) | 6.34264 | + | 22.4769i | 0.212011 | + | 0.751320i | ||||
\(896\) | 13.7864 | − | 26.2339i | 0.460571 | − | 0.876413i | ||||
\(897\) | −1.45884 | − | 4.47383i | −0.0487092 | − | 0.149377i | ||||
\(898\) | −1.67224 | − | 0.965470i | −0.0558035 | − | 0.0322182i | ||||
\(899\) | −0.228825 | − | 0.396337i | −0.00763175 | − | 0.0132186i | ||||
\(900\) | −23.5526 | + | 3.15810i | −0.785086 | + | 0.105270i | ||||
\(901\) | −13.5747 | − | 7.83734i | −0.452238 | − | 0.261100i | ||||
\(902\) | − | 5.95854i | − | 0.198398i | ||||||
\(903\) | −23.0863 | − | 19.1410i | −0.768263 | − | 0.636974i | ||||
\(904\) | −20.4062 | −0.678701 | ||||||||
\(905\) | 25.9248 | + | 6.58008i | 0.861770 | + | 0.218729i | ||||
\(906\) | −3.78776 | + | 4.21564i | −0.125840 | + | 0.140055i | ||||
\(907\) | 31.4075 | − | 18.1332i | 1.04287 | − | 0.602102i | 0.122226 | − | 0.992502i | \(-0.460997\pi\) |
0.920645 | + | 0.390401i | \(0.127664\pi\) | |||||||
\(908\) | −7.44902 | − | 4.30070i | −0.247205 | − | 0.142724i | ||||
\(909\) | −15.9547 | + | 11.6431i | −0.529183 | + | 0.386178i | ||||
\(910\) | −11.9512 | − | 10.7475i | −0.396178 | − | 0.356275i | ||||
\(911\) | − | 5.35784i | − | 0.177513i | −0.996053 | − | 0.0887565i | \(-0.971711\pi\) | ||
0.996053 | − | 0.0887565i | \(-0.0282893\pi\) | |||||||
\(912\) | −2.69169 | + | 12.7292i | −0.0891308 | + | 0.421507i | ||||
\(913\) | 10.6903 | + | 18.5162i | 0.353798 | + | 0.612797i | ||||
\(914\) | 4.91690 | − | 2.83877i | 0.162637 | − | 0.0938983i | ||||
\(915\) | −1.80323 | − | 27.0167i | −0.0596128 | − | 0.893145i | ||||
\(916\) | − | 22.7716i | − | 0.752396i | ||||||
\(917\) | 20.3772 | − | 38.7755i | 0.672916 | − | 1.28048i | ||||
\(918\) | 4.26790 | − | 5.91341i | 0.140862 | − | 0.195172i | ||||
\(919\) | −10.0571 | + | 17.4194i | −0.331754 | + | 0.574615i | −0.982856 | − | 0.184376i | \(-0.940974\pi\) |
0.651102 | + | 0.758990i | \(0.274307\pi\) | |||||||
\(920\) | −2.38724 | − | 2.32487i | −0.0787048 | − | 0.0766487i | ||||
\(921\) | −15.0325 | + | 16.7306i | −0.495337 | + | 0.551292i | ||||
\(922\) | −10.3075 | + | 17.8532i | −0.339461 | + | 0.587963i | ||||
\(923\) | 34.2872i | 1.12858i | ||||||||
\(924\) | 27.5933 | − | 10.2276i | 0.907752 | − | 0.336464i | ||||
\(925\) | −11.1438 | − | 18.1732i | −0.366405 | − | 0.597532i | ||||
\(926\) | 3.87818 | + | 2.23907i | 0.127445 | + | 0.0735804i | ||||
\(927\) | −26.9229 | − | 11.9190i | −0.884264 | − | 0.391473i | ||||
\(928\) | −5.77382 | + | 3.33351i | −0.189535 | + | 0.109428i | ||||
\(929\) | 3.39903 | − | 5.88728i | 0.111518 | − | 0.193156i | −0.804864 | − | 0.593459i | \(-0.797762\pi\) |
0.916383 | + | 0.400303i | \(0.131095\pi\) | |||||||
\(930\) | 0.812427 | − | 0.544253i | 0.0266405 | − | 0.0178468i | ||||
\(931\) | −28.2927 | − | 13.4619i | −0.927256 | − | 0.441195i | ||||
\(932\) | −13.3558 | −0.437483 | ||||||||
\(933\) | −0.775525 | − | 0.163991i | −0.0253896 | − | 0.00536881i | ||||
\(934\) | 13.6662 | − | 7.89021i | 0.447173 | − | 0.258176i | ||||
\(935\) | 14.1335 | + | 13.7643i | 0.462215 | + | 0.450140i | ||||
\(936\) | −3.11471 | − | 29.0466i | −0.101808 | − | 0.949417i | ||||
\(937\) | 44.1327 | 1.44175 | 0.720877 | − | 0.693063i | \(-0.243739\pi\) | ||||
0.720877 | + | 0.693063i | \(0.243739\pi\) | |||||||
\(938\) | −0.592295 | − | 14.8942i | −0.0193391 | − | 0.486312i | ||||
\(939\) | −14.8965 | − | 45.6830i | −0.486128 | − | 1.49081i | ||||
\(940\) | 26.7866 | + | 6.79881i | 0.873682 | + | 0.221753i | ||||
\(941\) | −4.53288 | − | 7.85118i | −0.147768 | − | 0.255941i | 0.782634 | − | 0.622482i | \(-0.213875\pi\) |
−0.930402 | + | 0.366540i | \(0.880542\pi\) | |||||||
\(942\) | 12.5801 | − | 14.0012i | 0.409882 | − | 0.456184i | ||||
\(943\) | −0.734986 | + | 1.27303i | −0.0239344 | + | 0.0414557i | ||||
\(944\) | 19.0057 | 0.618584 | ||||||||
\(945\) | 22.7671 | − | 20.6558i | 0.740613 | − | 0.671932i | ||||
\(946\) | −17.1047 | −0.556122 | ||||||||
\(947\) | −17.7437 | + | 30.7330i | −0.576593 | + | 0.998689i | 0.419273 | + | 0.907860i | \(0.362285\pi\) |
−0.995867 | + | 0.0908285i | \(0.971048\pi\) | |||||||
\(948\) | 6.88211 | − | 7.65955i | 0.223521 | − | 0.248771i | ||||
\(949\) | −11.0325 | − | 19.1088i | −0.358129 | − | 0.620297i | ||||
\(950\) | 14.4257 | − | 0.381918i | 0.468033 | − | 0.0123910i | ||||
\(951\) | −2.42891 | − | 7.44873i | −0.0787627 | − | 0.241542i | ||||
\(952\) | −11.2525 | + | 7.10731i | −0.364697 | + | 0.230349i | ||||
\(953\) | 10.8726 | 0.352198 | 0.176099 | − | 0.984373i | \(-0.443652\pi\) | ||||
0.176099 | + | 0.984373i | \(0.443652\pi\) | |||||||
\(954\) | 1.48529 | + | 13.8513i | 0.0480882 | + | 0.448451i | ||||
\(955\) | −22.0714 | + | 22.6635i | −0.714214 | + | 0.733373i | ||||
\(956\) | −3.72976 | + | 2.15338i | −0.120629 | + | 0.0696452i | ||||
\(957\) | −8.02816 | − | 1.69761i | −0.259514 | − | 0.0548761i | ||||
\(958\) | 15.6625 | 0.506031 | ||||||||
\(959\) | −28.0620 | − | 44.4287i | −0.906169 | − | 1.43468i | ||||
\(960\) | −0.693615 | − | 1.03539i | −0.0223863 | − | 0.0334169i | ||||
\(961\) | −15.4233 | + | 26.7140i | −0.497527 | + | 0.861742i | ||||
\(962\) | 10.0315 | − | 5.79167i | 0.323428 | − | 0.186731i | ||||
\(963\) | −51.5158 | − | 22.8066i | −1.66007 | − | 0.734932i | ||||
\(964\) | −2.09841 | − | 1.21152i | −0.0675853 | − | 0.0390204i | ||||
\(965\) | −3.75981 | − | 13.3239i | −0.121032 | − | 0.428912i | ||||
\(966\) | 1.87829 | + | 0.319795i | 0.0604330 | + | 0.0102892i | ||||
\(967\) | − | 21.3855i | − | 0.687711i | −0.939023 | − | 0.343855i | \(-0.888267\pi\) | ||
0.939023 | − | 0.343855i | \(-0.111733\pi\) | |||||||
\(968\) | 6.27575 | − | 10.8699i | 0.201710 | − | 0.349373i | ||||
\(969\) | 11.2780 | − | 12.5520i | 0.362301 | − | 0.403228i | ||||
\(970\) | −4.02810 | − | 3.92287i | −0.129335 | − | 0.125956i | ||||
\(971\) | −4.43174 | + | 7.67600i | −0.142221 | + | 0.246335i | −0.928333 | − | 0.371750i | \(-0.878758\pi\) |
0.786112 | + | 0.618085i | \(0.212091\pi\) | |||||||
\(972\) | 24.6953 | − | 0.129881i | 0.792102 | − | 0.00416593i | ||||
\(973\) | 0.0240502 | + | 0.604779i | 0.000771013 | + | 0.0193883i | ||||
\(974\) | − | 6.29102i | − | 0.201577i | ||||||
\(975\) | 34.3797 | − | 12.2264i | 1.10103 | − | 0.391558i | ||||
\(976\) | −10.1609 | + | 5.86639i | −0.325242 | + | 0.187779i | ||||
\(977\) | −0.365536 | − | 0.633128i | −0.0116945 | − | 0.0202555i | 0.860119 | − | 0.510094i | \(-0.170389\pi\) |
−0.871813 | + | 0.489838i | \(0.837056\pi\) | |||||||
\(978\) | 1.11066 | − | 5.25241i | 0.0355150 | − | 0.167953i | ||||
\(979\) | 3.62691i | 0.115916i | ||||||||
\(980\) | −23.2550 | + | 8.60818i | −0.742852 | + | 0.274978i | ||||
\(981\) | −2.19555 | + | 1.60223i | −0.0700986 | + | 0.0511553i | ||||
\(982\) | 13.2171 | + | 7.63091i | 0.421775 | + | 0.243512i | ||||
\(983\) | 3.23213 | − | 1.86607i | 0.103089 | − | 0.0595184i | −0.447569 | − | 0.894249i | \(-0.647710\pi\) |
0.550658 | + | 0.834731i | \(0.314377\pi\) | |||||||
\(984\) | −6.09913 | + | 6.78812i | −0.194433 | + | 0.216397i | ||||
\(985\) | −7.19265 | + | 28.3382i | −0.229177 | + | 0.902932i | ||||
\(986\) | 1.64032 | 0.0522385 | ||||||||
\(987\) | −33.5219 | + | 12.4251i | −1.06701 | + | 0.395495i | ||||
\(988\) | − | 29.8772i | − | 0.950520i | ||||||
\(989\) | 3.65439 | + | 2.10987i | 0.116203 | + | 0.0670898i | ||||
\(990\) | 2.47690 | − | 17.3576i | 0.0787210 | − | 0.551659i | ||||
\(991\) | 2.74255 | + | 4.75024i | 0.0871200 | + | 0.150896i | 0.906293 | − | 0.422651i | \(-0.138900\pi\) |
−0.819173 | + | 0.573547i | \(0.805567\pi\) | |||||||
\(992\) | −1.93442 | − | 1.11684i | −0.0614178 | − | 0.0354596i | ||||
\(993\) | 12.2946 | + | 37.7039i | 0.390158 | + | 1.19650i | ||||
\(994\) | −12.2892 | − | 6.45819i | −0.389790 | − | 0.204841i | ||||
\(995\) | 10.2945 | + | 36.4815i | 0.326359 | + | 1.15654i | ||||
\(996\) | 2.99428 | − | 14.1602i | 0.0948774 | − | 0.448683i | ||||
\(997\) | −2.53609 | − | 4.39264i | −0.0803189 | − | 0.139116i | 0.823068 | − | 0.567943i | \(-0.192261\pi\) |
−0.903387 | + | 0.428826i | \(0.858927\pi\) | |||||||
\(998\) | −3.69818 | − | 6.40544i | −0.117064 | − | 0.202761i | ||||
\(999\) | 9.07472 | + | 20.2103i | 0.287111 | + | 0.639425i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))