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 | 89.5 | ||
Character | \(\chi\) | \(=\) | 105.89 |
Dual form | 105.2.p.a.59.5 |
$q$-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 | −0.957207 | − | 0.289403i | \(-0.906543\pi\) |
0.729234 | + | 0.684264i | \(0.239877\pi\) | |||||||
\(3\) | 1.15761 | − | 1.28838i | 0.668349 | − | 0.743848i | ||||
\(4\) | 0.792113 | + | 1.37198i | 0.396056 | + | 0.685990i | ||||
\(5\) | −1.60193 | + | 1.56008i | −0.716403 | + | 0.697687i | ||||
\(6\) | 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 | ||||
\(10\) | −0.354709 | − | 1.39752i | −0.112169 | − | 0.441934i | ||||
\(11\) | 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 | \(-0.698628\pi\) | ||||
−0.584292 | + | 0.811543i | \(0.698628\pi\) | |||||||
\(14\) | −0.793618 | + | 1.51016i | −0.212103 | + | 0.403608i | ||||
\(15\) | 0.155565 | + | 3.86986i | 0.0401666 | + | 0.999193i | ||||
\(16\) | −0.839111 | + | 1.45338i | −0.209778 | + | 0.363346i | ||||
\(17\) | −1.88498 | + | 1.08830i | −0.457176 | + | 0.263951i | −0.710856 | − | 0.703338i | \(-0.751692\pi\) |
0.253680 | + | 0.967288i | \(0.418359\pi\) | |||||||
\(18\) | 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 | −0.830453 | − | 0.557088i | \(-0.811919\pi\) |
0.897679 | + | 0.440650i | \(0.145252\pi\) | |||||||
\(24\) | −2.67540 | + | 2.97762i | −0.546113 | + | 0.607804i | ||||
\(25\) | 0.132327 | − | 4.99825i | 0.0264655 | − | 0.999650i | ||||
\(26\) | 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 | \(0.965390\pi\) | |||||||
\(30\) | −2.21115 | − | 1.16078i | −0.403700 | − | 0.211929i | ||||
\(31\) | −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 | ||||||
\(35\) | −4.07094 | + | 4.29272i | −0.688114 | + | 0.725603i | ||||
\(36\) | 3.83911 | − | 2.80164i | 0.639852 | − | 0.466939i | ||||
\(37\) | −3.69236 | − | 2.13178i | −0.607020 | − | 0.350463i | 0.164778 | − | 0.986331i | \(-0.447309\pi\) |
−0.771798 | + | 0.635868i | \(0.780642\pi\) | |||||||
\(38\) | 2.49949 | − | 1.44308i | 0.405470 | − | 0.234098i | ||||
\(39\) | −4.87748 | + | 5.42846i | −0.781022 | + | 0.869250i | ||||
\(40\) | 3.70226 | − | 3.60554i | 0.585378 | − | 0.570085i | ||||
\(41\) | 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 | \(0.166295\pi\) | ||||
−0.866608 | + | 0.498990i | \(0.833705\pi\) | |||||||
\(44\) | 5.56132 | + | 3.21083i | 0.838401 | + | 0.484051i | ||||
\(45\) | 5.16594 | + | 4.27937i | 0.770093 | + | 0.637931i | ||||
\(46\) | 0.207887 | + | 0.360071i | 0.0306513 | + | 0.0530896i | ||||
\(47\) | 6.75621 | + | 3.90070i | 0.985494 | + | 0.568975i | 0.903924 | − | 0.427692i | \(-0.140673\pi\) |
0.0815698 | + | 0.996668i | \(0.474007\pi\) | |||||||
\(48\) | 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 | 0.999981 | − | 0.00622439i | \(-0.00198130\pi\) |
−0.505381 | + | 0.862896i | \(0.668648\pi\) | |||||||
\(54\) | 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 | \(-0.430515\pi\) | |||||||
\(60\) | −5.18614 | + | 3.27880i | −0.669528 | + | 0.423291i | ||||
\(61\) | 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 | ||||||||
\(65\) | 6.74954 | − | 6.57321i | 0.837177 | − | 0.815307i | ||||
\(66\) | 3.36748 | + | 3.02568i | 0.414508 | + | 0.372436i | ||||
\(67\) | 7.56680 | − | 4.36870i | 0.924432 | − | 0.533721i | 0.0393859 | − | 0.999224i | \(-0.487460\pi\) |
0.885046 | + | 0.465503i | \(0.154127\pi\) | |||||||
\(68\) | −2.98624 | − | 1.72411i | −0.362135 | − | 0.209079i | ||||
\(69\) | −0.346239 | − | 1.06181i | −0.0416822 | − | 0.127827i | ||||
\(70\) | −1.08465 | − | 3.65727i | −0.129641 | − | 0.437128i | ||||
\(71\) | 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 | 0.977586 | − | 0.210536i | \(-0.0675209\pi\) |
−0.671123 | + | 0.741346i | \(0.734188\pi\) | |||||||
\(74\) | 2.38085 | − | 1.37459i | 0.276769 | − | 0.159792i | ||||
\(75\) | −6.28647 | − | 5.95653i | −0.725900 | − | 0.687801i | ||||
\(76\) | − | 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 | \(0.234373\pi\) | |||||||
\(80\) | −0.923194 | − | 3.63729i | −0.103216 | − | 0.406661i | ||||
\(81\) | −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 | \(-0.906517\pi\) | ||
0.957183 | − | 0.289482i | \(-0.0934831\pi\) | |||||||
\(84\) | 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 | \(0.181767\pi\) | |||||||
\(90\) | −4.05520 | + | 1.50507i | −0.427455 | + | 0.158649i | ||||
\(91\) | −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 | ||||
\(95\) | 9.70106 | − | 2.46227i | 0.995308 | − | 0.252623i | ||||
\(96\) | −9.66653 | − | 2.04406i | −0.986586 | − | 0.208621i | ||||
\(97\) | 3.89968 | 0.395953 | 0.197976 | − | 0.980207i | \(-0.436563\pi\) | ||||
0.197976 | + | 0.980207i | \(0.436563\pi\) | |||||||
\(98\) | −1.93929 | + | 4.07579i | −0.195898 | + | 0.411717i | ||||
\(99\) | −7.16845 | − | 9.82300i | −0.720456 | − | 0.987249i | ||||
\(100\) | 6.96231 | − | 3.77763i | 0.696231 | − | 0.377763i | ||||
\(101\) | −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 | −0.999821 | − | 0.0189238i | \(-0.993976\pi\) |
0.516299 | + | 0.856408i | \(0.327309\pi\) | |||||||
\(104\) | 9.73770 | 0.954860 | ||||||||
\(105\) | 0.818099 | + | 10.2142i | 0.0798383 | + | 0.996808i | ||||
\(106\) | −4.64356 | −0.451022 | ||||||||
\(107\) | −9.38974 | + | 16.2635i | −0.907740 | + | 1.57225i | −0.0905447 | + | 0.995892i | \(0.528861\pi\) |
−0.817196 | + | 0.576360i | \(0.804473\pi\) | |||||||
\(108\) | 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 | \(0.847149\pi\) | |||||||
\(110\) | −4.07761 | − | 4.18699i | −0.388784 | − | 0.399214i | ||||
\(111\) | −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 | \(-0.363674\pi\) | ||||
0.415307 | + | 0.909681i | \(0.363674\pi\) | |||||||
\(114\) | 1.03420 | − | 4.89082i | 0.0968618 | − | 0.458067i | ||||
\(115\) | 0.354709 | + | 1.39752i | 0.0330768 | + | 0.130319i | ||||
\(116\) | −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 | ||||
\(120\) | −0.359530 | − | 8.94374i | −0.0328205 | − | 0.816448i | ||||
\(121\) | 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 | \(-0.752238\pi\) | ||
0.712060 | − | 0.702118i | \(-0.247762\pi\) | |||||||
\(128\) | 5.60064 | − | 9.70060i | 0.495032 | − | 0.857420i | ||||
\(129\) | 8.43142 | + | 7.57564i | 0.742345 | + | 0.666998i | ||||
\(130\) | 1.49453 | + | 5.88829i | 0.131079 | + | 0.516437i | ||||
\(131\) | −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 | ||||||||
\(135\) | 11.4936 | − | 1.70185i | 0.989215 | − | 0.146472i | ||||
\(136\) | 4.35644 | − | 2.51519i | 0.373562 | − | 0.215676i | ||||
\(137\) | −9.93080 | − | 17.2007i | −0.848446 | − | 1.46955i | −0.882595 | − | 0.470135i | \(-0.844205\pi\) |
0.0341490 | − | 0.999417i | \(-0.489128\pi\) | |||||||
\(138\) | 0.704563 | + | 0.148985i | 0.0599764 | + | 0.0126825i | ||||
\(139\) | − | 0.228766i | − | 0.0194037i | −0.999953 | − | 0.00970183i | \(-0.996912\pi\) | ||
0.999953 | − | 0.00970183i | \(-0.00308824\pi\) | |||||||
\(140\) | −9.11417 | − | 2.18492i | −0.770288 | − | 0.184660i | ||||
\(141\) | 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 | ||||
\(145\) | −1.82335 | − | 1.87226i | −0.151421 | − | 0.155483i | ||||
\(146\) | −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 | \(0.800412\pi\) | |||||||
\(150\) | 5.35301 | − | 1.59008i | 0.437072 | − | 0.129829i | ||||
\(151\) | 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 | \(0.0681260\pi\) |
−0.304653 | + | 0.952463i | \(0.598541\pi\) | |||||||
\(158\) | −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 | 0.654093 | − | 0.756414i | \(-0.273051\pi\) |
−0.328028 | + | 0.944668i | \(0.606384\pi\) | |||||||
\(164\) | 1.80579 | + | 3.12772i | 0.141008 | + | 0.244234i | ||||
\(165\) | 8.38934 | + | 13.2696i | 0.653109 | + | 1.03304i | ||||
\(166\) | 2.94544 | + | 1.70055i | 0.228611 | + | 0.131988i | ||||
\(167\) | − | 4.45089i | − | 0.344420i | −0.985060 | − | 0.172210i | \(-0.944909\pi\) | ||
0.985060 | − | 0.172210i | \(-0.0550908\pi\) | |||||||
\(168\) | −6.75980 | + | 8.15308i | −0.521530 | + | 0.629024i | ||||
\(169\) | 4.75268 | 0.365590 | ||||||||
\(170\) | 2.18953 | + | 2.24827i | 0.167930 | + | 0.172434i | ||||
\(171\) | −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 | 0.0730252 | − | 0.997330i | \(-0.476735\pi\) |
−0.827201 | + | 0.561907i | \(0.810068\pi\) | |||||||
\(174\) | −1.24100 | + | 0.404668i | −0.0940797 | + | 0.0306778i | ||||
\(175\) | −0.175637 | − | 13.2276i | −0.0132769 | − | 0.999912i | ||||
\(176\) | 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 | \(0.205694\pi\) | |||||||
\(180\) | −1.77920 | + | 10.4773i | −0.132614 | + | 0.780933i | ||||
\(181\) | − | 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 | ||||
\(185\) | 9.24062 | − | 2.34540i | 0.679384 | − | 0.172437i | ||||
\(186\) | −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 | −0.294452 | − | 0.955666i | \(-0.595137\pi\) |
0.680406 | + | 0.732836i | \(0.261804\pi\) | |||||||
\(194\) | −1.25727 | + | 2.17765i | −0.0902667 | + | 0.156346i | ||||
\(195\) | −0.655455 | − | 16.3052i | −0.0469381 | − | 1.16764i | ||||
\(196\) | 6.28990 | + | 9.13323i | 0.449279 | + | 0.652373i | ||||
\(197\) | −13.0751 | −0.931562 | −0.465781 | − | 0.884900i | \(-0.654227\pi\) | ||||
−0.465781 | + | 0.884900i | \(0.654227\pi\) | |||||||
\(198\) | 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 | \(0.128161\pi\) | |||||||
\(200\) | −0.305826 | + | 11.5516i | −0.0216251 | + | 0.816821i | ||||
\(201\) | 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 | ||||
\(205\) | −3.65193 | + | 3.55652i | −0.255062 | + | 0.248398i | ||||
\(206\) | −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 | ||||||||
\(210\) | −5.96758 | − | 2.83626i | −0.411802 | − | 0.195721i | ||||
\(211\) | −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 | ||||
\(215\) | −10.2094 | − | 10.4833i | −0.696277 | − | 0.714955i | ||||
\(216\) | 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 | ||||
\(220\) | −13.9180 | + | 3.53258i | −0.938349 | + | 0.238166i | ||||
\(221\) | 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 | \(-0.506687\pi\) | ||||
−0.0210075 | + | 0.999779i | \(0.506687\pi\) | |||||||
\(224\) | −8.05959 | − | 12.7602i | −0.538504 | − | 0.852578i | ||||
\(225\) | −14.9516 | + | 1.20403i | −0.996773 | + | 0.0802685i | ||||
\(226\) | −2.84667 | + | 4.93058i | −0.189358 | + | 0.327977i | ||||
\(227\) | 4.70200 | − | 2.71470i | 0.312082 | − | 0.180181i | −0.335776 | − | 0.941942i | \(-0.608998\pi\) |
0.647858 | + | 0.761761i | \(0.275665\pi\) | |||||||
\(228\) | −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 | −0.694275 | − | 0.719710i | \(-0.744275\pi\) |
0.970425 | + | 0.241405i | \(0.0776081\pi\) | |||||||
\(234\) | −7.45277 | − | 3.29942i | −0.487203 | − | 0.215690i | ||||
\(235\) | −16.9083 | + | 4.29157i | −1.10298 | + | 0.279951i | ||||
\(236\) | 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 | \(0.971977\pi\) | |||||||
\(240\) | −5.75492 | − | 3.02114i | −0.371478 | − | 0.195014i | ||||
\(241\) | −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 | ||||||||
\(245\) | −10.3109 | + | 11.7765i | −0.658738 | + | 0.752372i | ||||
\(246\) | 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 | ||||
\(250\) | −7.03208 | + | 1.58800i | −0.444748 | + | 0.100434i | ||||
\(251\) | 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 | ||||
\(255\) | −4.50479 | − | 7.12532i | −0.282101 | − | 0.446205i | ||||
\(256\) | 3.93311 | + | 6.81234i | 0.245819 | + | 0.425771i | ||||
\(257\) | 17.4101 | + | 10.0517i | 1.08601 | + | 0.627011i | 0.932512 | − | 0.361138i | \(-0.117612\pi\) |
0.153502 | + | 0.988148i | \(0.450945\pi\) | |||||||
\(258\) | −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 | 0.968876 | − | 0.247546i | \(-0.0796240\pi\) |
−0.698819 | + | 0.715299i | \(0.746291\pi\) | |||||||
\(264\) | −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 | \(0.657085\pi\) | |||||||
\(270\) | −2.75524 | + | 6.96694i | −0.167678 | + | 0.423994i | ||||
\(271\) | 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 | ||||||||
\(275\) | −9.66568 | − | 17.8142i | −0.582863 | − | 1.07424i | ||||
\(276\) | 1.18252 | − | 1.31611i | 0.0711795 | − | 0.0792203i | ||||
\(277\) | 11.4413 | − | 6.60561i | 0.687438 | − | 0.396893i | −0.115213 | − | 0.993341i | \(-0.536755\pi\) |
0.802652 | + | 0.596448i | \(0.203422\pi\) | |||||||
\(278\) | 0.127747 | + | 0.0737548i | 0.00766176 | + | 0.00442352i | ||||
\(279\) | 0.692477 | + | 0.948908i | 0.0414575 | + | 0.0568097i | ||||
\(280\) | 9.40846 | − | 9.92104i | 0.562263 | − | 0.592895i | ||||
\(281\) | − | 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 | 0.529462 | − | 0.848334i | \(-0.322394\pi\) |
−0.999410 | + | 0.0343601i | \(0.989061\pi\) | |||||||
\(284\) | −11.1647 | + | 6.44594i | −0.662503 | + | 0.382496i | ||||
\(285\) | 8.05774 | − | 15.3490i | 0.477299 | − | 0.909198i | ||||
\(286\) | − | 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 | ||||
\(290\) | 1.63336 | − | 0.414568i | 0.0959139 | − | 0.0243443i | ||||
\(291\) | 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 | \(-0.792380\pi\) | ||
0.794716 | − | 0.606982i | \(-0.207620\pi\) | |||||||
\(294\) | 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 | ||||
\(300\) | 3.19264 | − | 13.3432i | 0.184327 | − | 0.770367i | ||||
\(301\) | 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 | ||||
\(305\) | −15.1524 | + | 3.84588i | −0.867621 | + | 0.220214i | ||||
\(306\) | −4.18644 | + | 0.448919i | −0.239323 | + | 0.0256630i | ||||
\(307\) | −12.9857 | −0.741136 | −0.370568 | − | 0.928805i | \(-0.620837\pi\) | ||||
−0.370568 | + | 0.928805i | \(0.620837\pi\) | |||||||
\(308\) | 15.0398 | + | 7.90369i | 0.856973 | + | 0.450355i | ||||
\(309\) | 5.27001 | + | 16.1616i | 0.299800 | + | 0.919399i | ||||
\(310\) | 0.393899 | + | 0.404466i | 0.0223720 | + | 0.0229721i | ||||
\(311\) | 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 | \(-0.546493\pi\) |
0.929575 | − | 0.368633i | \(-0.120174\pi\) | |||||||
\(314\) | −10.8673 | −0.613276 | ||||||||
\(315\) | 14.1069 | + | 10.7701i | 0.794834 | + | 0.606827i | ||||
\(316\) | −5.94509 | −0.334437 | ||||||||
\(317\) | 2.26170 | − | 3.91737i | 0.127030 | − | 0.220022i | −0.795495 | − | 0.605960i | \(-0.792789\pi\) |
0.922524 | + | 0.385939i | \(0.126122\pi\) | |||||||
\(318\) | −5.37545 | + | 5.98268i | −0.301440 | + | 0.335492i | ||||
\(319\) | 2.36878 | + | 4.10284i | 0.132626 | + | 0.229715i | ||||
\(320\) | −0.515466 | + | 0.501999i | −0.0288154 | + | 0.0280626i | ||||
\(321\) | 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 | ||||
\(325\) | −0.557547 | + | 21.0596i | −0.0309272 | + | 1.16818i | ||||
\(326\) | −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 | ||||
\(330\) | −10.1147 | + | 0.406603i | −0.556798 | + | 0.0223828i | ||||
\(331\) | 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 | \(0.324285\pi\) | ||||
−0.524413 | + | 0.851464i | \(0.675715\pi\) | |||||||
\(338\) | −1.53228 | + | 2.65398i | −0.0833449 | + | 0.144358i | ||||
\(339\) | 10.2212 | − | 11.3758i | 0.555140 | − | 0.617851i | ||||
\(340\) | 7.47347 | − | 1.89687i | 0.405306 | − | 0.102872i | ||||
\(341\) | −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 | ||||||
\(345\) | 2.21115 | + | 1.16078i | 0.119045 | + | 0.0624945i | ||||
\(346\) | 6.39623 | − | 3.69287i | 0.343864 | − | 0.198530i | ||||
\(347\) | −1.39335 | − | 2.41336i | −0.0747992 | − | 0.129556i | 0.826200 | − | 0.563377i | \(-0.190498\pi\) |
−0.900999 | + | 0.433821i | \(0.857165\pi\) | |||||||
\(348\) | −0.663476 | + | 3.13763i | −0.0355661 | + | 0.168195i | ||||
\(349\) | 16.5636i | 0.886627i | 0.896367 | + | 0.443314i | \(0.146197\pi\) | ||||
−0.896367 | + | 0.443314i | \(0.853803\pi\) | |||||||
\(350\) | 7.44315 | + | 4.16653i | 0.397853 | + | 0.222711i | ||||
\(351\) | 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 | −0.422571 | − | 0.906330i | \(-0.638872\pi\) |
0.573619 | + | 0.819122i | \(0.305539\pi\) | |||||||
\(354\) | 8.45334 | − | 9.40826i | 0.449290 | − | 0.500044i | ||||
\(355\) | −12.6954 | − | 13.0359i | −0.673800 | − | 0.691875i | ||||
\(356\) | −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 | \(0.814811\pi\) | |||||||
\(360\) | −11.9392 | − | 9.89019i | −0.629249 | − | 0.521259i | ||||
\(361\) | 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 | 0.551427 | − | 0.834223i | \(-0.314084\pi\) |
−0.998172 | + | 0.0604381i | \(0.980750\pi\) | |||||||
\(368\) | 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 | −0.316706 | − | 0.948524i | \(-0.602577\pi\) |
−0.979799 | + | 0.199986i | \(0.935910\pi\) | |||||||
\(374\) | −2.84450 | − | 4.92683i | −0.147086 | − | 0.254760i | ||||
\(375\) | 19.3631 | − | 0.265463i | 0.999906 | − | 0.0137084i | ||||
\(376\) | −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 | \(0.504575\pi\) | |||||||
\(380\) | 11.0625 | + | 11.3593i | 0.567495 | + | 0.582718i | ||||
\(381\) | −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 | 0.581683 | − | 0.813415i | \(-0.302394\pi\) |
−0.413597 | + | 0.910460i | \(0.635728\pi\) | |||||||
\(384\) | −6.01470 | − | 18.4453i | −0.306937 | − | 0.941284i | ||||
\(385\) | −5.59048 | + | 23.3201i | −0.284917 | + | 1.18850i | ||||
\(386\) | 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 | \(0.259155\pi\) | |||||||
\(390\) | 9.31646 | + | 4.89084i | 0.471757 | + | 0.247657i | ||||
\(391\) | 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 | ||||
\(395\) | −2.06436 | − | 8.13335i | −0.103869 | − | 0.409233i | ||||
\(396\) | 7.79874 | − | 17.6159i | 0.391901 | − | 0.885232i | ||||
\(397\) | 12.1191 | − | 20.9910i | 0.608242 | − | 1.05351i | −0.383288 | − | 0.923629i | \(-0.625208\pi\) |
0.991530 | − | 0.129878i | \(-0.0414584\pi\) | |||||||
\(398\) | 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 | ||||
\(405\) | 11.1126 | − | 16.7783i | 0.552187 | − | 0.833720i | ||||
\(406\) | −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 | \(0.542099\pi\) | |||||||
\(410\) | −0.808636 | − | 3.18594i | −0.0399357 | − | 0.157342i | ||||
\(411\) | −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 | ||||
\(415\) | 8.22880 | + | 8.44954i | 0.403936 | + | 0.414771i | ||||
\(416\) | 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 | \(0.0857766\pi\) | |||||||
\(420\) | −13.3657 | + | 9.21325i | −0.652179 | + | 0.449560i | ||||
\(421\) | −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 | ||||
\(425\) | 5.19014 | + | 9.56563i | 0.251759 | + | 0.464001i | ||||
\(426\) | −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 | ||||
\(430\) | 9.14562 | − | 2.32129i | 0.441041 | − | 0.111942i | ||||
\(431\) | −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 | \(-0.477352\pi\) | ||||
0.0710896 | + | 0.997470i | \(0.477352\pi\) | |||||||
\(434\) | −0.0265440 | − | 0.667491i | −0.00127415 | − | 0.0320406i | ||||
\(435\) | −4.52292 | + | 0.181817i | −0.216857 | + | 0.00871746i | ||||
\(436\) | 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 | \(0.439170\pi\) |
−0.945231 | + | 0.326403i | \(0.894163\pi\) | |||||||
\(444\) | −8.70232 | − | 7.81904i | −0.412994 | − | 0.371075i | ||||
\(445\) | −0.492209 | − | 1.93925i | −0.0233329 | − | 0.0919293i | ||||
\(446\) | 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 | \(-0.0225112\pi\) | |||||||
\(450\) | 4.14809 | − | 8.73743i | 0.195543 | − | 0.411886i | ||||
\(451\) | 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 | ||||||||
\(455\) | 17.1525 | − | 18.0869i | 0.804120 | − | 0.847928i | ||||
\(456\) | 17.0347 | − | 5.55471i | 0.797721 | − | 0.260123i | ||||
\(457\) | −7.62540 | − | 4.40252i | −0.356701 | − | 0.205941i | 0.310932 | − | 0.950432i | \(-0.399359\pi\) |
−0.667633 | + | 0.744491i | \(0.732692\pi\) | |||||||
\(458\) | 8.02669 | − | 4.63421i | 0.375063 | − | 0.216543i | ||||
\(459\) | 11.2516 | + | 1.14671i | 0.525181 | + | 0.0535237i | ||||
\(460\) | −1.63639 | + | 1.59365i | −0.0762973 | + | 0.0743041i | ||||
\(461\) | −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 | \(-0.948406\pi\) | ||
0.986892 | − | 0.161380i | \(-0.0515943\pi\) | |||||||
\(464\) | −1.69865 | − | 0.980715i | −0.0788577 | − | 0.0455285i | ||||
\(465\) | −0.810416 | − | 1.28185i | −0.0375821 | − | 0.0594445i | ||||
\(466\) | 2.71801 | + | 4.70774i | 0.125910 | + | 0.218082i | ||||
\(467\) | −21.1944 | − | 12.2366i | −0.980758 | − | 0.566241i | −0.0782589 | − | 0.996933i | \(-0.524936\pi\) |
−0.902499 | + | 0.430692i | \(0.858269\pi\) | |||||||
\(468\) | −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 | \(0.646081\pi\) | |||||||
\(480\) | 18.6740 | − | 11.8061i | 0.852345 | − | 0.538872i | ||||
\(481\) | 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 | ||||||||
\(485\) | −6.24700 | + | 6.08380i | −0.283662 | + | 0.276251i | ||||
\(486\) | −5.07148 | − | 8.67833i | −0.230047 | − | 0.393657i | ||||
\(487\) | −8.44934 | + | 4.87823i | −0.382876 | + | 0.221054i | −0.679069 | − | 0.734075i | \(-0.737616\pi\) |
0.296193 | + | 0.955128i | \(0.404283\pi\) | |||||||
\(488\) | −13.9929 | − | 8.07879i | −0.633427 | − | 0.365710i | ||||
\(489\) | 7.91563 | − | 2.58115i | 0.357957 | − | 0.116724i | ||||
\(490\) | −3.25194 | − | 9.55456i | −0.146908 | − | 0.431631i | ||||
\(491\) | 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 | ||||
\(495\) | 26.8079 | + | 4.55239i | 1.20493 | + | 0.204615i | ||||
\(496\) | − | 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 | \(0.0840152\pi\) | |||||||
\(500\) | −5.25972 | + | 16.9132i | −0.235222 | + | 0.756382i | ||||
\(501\) | −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 | \(-0.877358\pi\) | ||
0.926689 | − | 0.375830i | \(-0.122642\pi\) | |||||||
\(504\) | 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 | \(0.145830\pi\) | |||||||
\(510\) | 5.43127 | − | 0.218332i | 0.240500 | − | 0.00966790i | ||||
\(511\) | 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 | ||||
\(515\) | −5.39894 | − | 21.2713i | −0.237906 | − | 0.937323i | ||||
\(516\) | −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 | ||||
\(520\) | −15.5991 | + | 15.1915i | −0.684064 | + | 0.666193i | ||||
\(521\) | 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 | −0.999740 | − | 0.0228034i | \(-0.992741\pi\) |
0.519618 | + | 0.854398i | \(0.326074\pi\) | |||||||
\(524\) | −26.2289 | −1.14581 | ||||||||
\(525\) | −17.2455 | − | 15.0862i | −0.752656 | − | 0.658414i | ||||
\(526\) | −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 | ||||
\(530\) | 7.43863 | − | 7.24430i | 0.323113 | − | 0.314672i | ||||
\(531\) | −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 | ||||
\(535\) | −10.3306 | − | 40.7016i | −0.446633 | − | 1.75968i | ||||
\(536\) | −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 | ||||
\(540\) | 11.4392 | + | 14.4210i | 0.492263 | + | 0.620580i | ||||
\(541\) | −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 | \(-0.896460\pi\) | ||
0.947561 | − | 0.319575i | \(-0.103540\pi\) | |||||||
\(548\) | 15.7326 | − | 27.2497i | 0.672065 | − | 1.16405i | ||||
\(549\) | 8.49041 | − | 19.1782i | 0.362362 | − | 0.818508i | ||||
\(550\) | 13.0640 | + | 0.345867i | 0.557052 | + | 0.0147478i | ||||
\(551\) | 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 | ||||||||
\(555\) | 7.67530 | − | 14.6205i | 0.325798 | − | 0.620607i | ||||
\(556\) | 0.313862 | − | 0.181208i | 0.0133107 | − | 0.00768494i | ||||
\(557\) | −0.614501 | − | 1.06435i | −0.0260373 | − | 0.0450979i | 0.852713 | − | 0.522379i | \(-0.174956\pi\) |
−0.878750 | + | 0.477282i | \(0.841622\pi\) | |||||||
\(558\) | −0.753144 | + | 0.0807609i | −0.0318831 | + | 0.00341888i | ||||
\(559\) | − | 27.5732i | − | 1.16622i | ||||||
\(560\) | −2.82300 | − | 9.51870i | −0.119294 | − | 0.402238i | ||||
\(561\) | 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 | −0.421245 | − | 0.906947i | \(-0.638407\pi\) |
0.574816 | + | 0.818282i | \(0.305074\pi\) | |||||||
\(564\) | 15.9233 | + | 14.3071i | 0.670494 | + | 0.602440i | ||||
\(565\) | −14.1443 | + | 13.7748i | −0.595054 | + | 0.579509i | ||||
\(566\) | 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 | \(0.485060\pi\) | |||||||
\(570\) | 5.97334 | + | 9.44816i | 0.250196 | + | 0.395740i | ||||
\(571\) | −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 | 0.800159 | − | 0.599787i | \(-0.204748\pi\) |
−0.919511 | + | 0.393065i | \(0.871415\pi\) | |||||||
\(578\) | −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 | ||||
\(585\) | −21.7661 | − | 18.0307i | −0.899919 | − | 0.745477i | ||||
\(586\) | 11.6038 | + | 6.69944i | 0.479347 | + | 0.276751i | ||||
\(587\) | 31.0435i | 1.28130i | 0.767832 | + | 0.640652i | \(0.221336\pi\) | ||||
−0.767832 | + | 0.640652i | \(0.778664\pi\) | |||||||
\(588\) | 19.0484 | + | 2.46894i | 0.785542 | + | 0.101818i | ||||
\(589\) | 1.75268 | 0.0722178 | ||||||||
\(590\) | −11.6979 | + | 11.3923i | −0.481594 | + | 0.469012i | ||||
\(591\) | −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 | 0.950954 | − | 0.309331i | \(-0.100105\pi\) |
0.207588 | + | 0.978216i | \(0.433439\pi\) | |||||||
\(594\) | 7.94818 | − | 11.0126i | 0.326118 | − | 0.451854i | ||||
\(595\) | 3.00190 | − | 12.5221i | 0.123066 | − | 0.513356i | ||||
\(596\) | − | 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 | \(0.603985\pi\) | |||||||
\(600\) | 14.5289 | + | 13.7663i | 0.593138 | + | 0.562007i | ||||
\(601\) | − | 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 | ||||
\(605\) | 2.98755 | + | 11.7706i | 0.121461 | + | 0.478544i | ||||
\(606\) | 4.91436 | − | 5.46951i | 0.199632 | − | 0.222184i | ||||
\(607\) | −8.47607 | + | 14.6810i | −0.344033 | + | 0.595883i | −0.985178 | − | 0.171537i | \(-0.945127\pi\) |
0.641144 | + | 0.767420i | \(0.278460\pi\) | |||||||
\(608\) | 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 | −0.963454 | − | 0.267873i | \(-0.913679\pi\) |
−0.249742 | + | 0.968312i | \(0.580346\pi\) | |||||||
\(614\) | 4.18664 | − | 7.25148i | 0.168959 | − | 0.292646i | ||||
\(615\) | 0.354643 | + | 8.82216i | 0.0143006 | + | 0.355744i | ||||
\(616\) | −20.9558 | + | 13.2361i | −0.844333 | + | 0.533296i | ||||
\(617\) | 45.7116 | 1.84028 | 0.920140 | − | 0.391590i | \(-0.128075\pi\) | ||||
0.920140 | + | 0.391590i | \(0.128075\pi\) | |||||||
\(618\) | −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 | \(0.625579\pi\) | |||||||
\(620\) | 1.34448 | − | 0.341249i | 0.0539958 | − | 0.0137049i | ||||
\(621\) | −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 | ||||
\(625\) | −24.9650 | − | 1.32281i | −0.998599 | − | 0.0529124i | ||||
\(626\) | 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 | ||||||||
\(630\) | −10.5623 | + | 4.40523i | −0.420814 | + | 0.175509i | ||||
\(631\) | −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 | ||||
\(635\) | 24.6881 | + | 25.3504i | 0.979718 | + | 1.00600i | ||||
\(636\) | 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 | ||||
\(640\) | 6.16186 | + | 24.2771i | 0.243569 | + | 0.959635i | ||||
\(641\) | 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 | \(-0.328263\pi\) | ||||
0.513731 | + | 0.857951i | \(0.328263\pi\) | |||||||
\(644\) | 2.70055 | − | 0.107392i | 0.106416 | − | 0.00423185i | ||||
\(645\) | −25.3251 | + | 1.01805i | −0.997174 | + | 0.0400855i | ||||
\(646\) | −3.14099 | + | 5.44036i | −0.123581 | + | 0.214048i | ||||
\(647\) | 35.3707 | − | 20.4213i | 1.39057 | − | 0.802844i | 0.397188 | − | 0.917737i | \(-0.369986\pi\) |
0.993378 | + | 0.114894i | \(0.0366527\pi\) | |||||||
\(648\) | 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 | −0.999402 | − | 0.0345747i | \(-0.988992\pi\) |
0.529644 | + | 0.848220i | \(0.322326\pi\) | |||||||
\(654\) | 0.676274 | − | 0.752669i | 0.0264444 | − | 0.0294317i | ||||
\(655\) | −9.10766 | − | 35.8832i | −0.355866 | − | 1.40207i | ||||
\(656\) | −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 | \(-0.272142\pi\) | |||||||
\(660\) | −11.5603 | + | 22.0210i | −0.449985 | + | 0.857167i | ||||
\(661\) | 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 | ||||||||
\(665\) | 25.3875 | − | 7.52927i | 0.984484 | − | 0.291973i | ||||
\(666\) | −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 | ||||
\(670\) | −8.78934 | − | 9.02512i | −0.339562 | − | 0.348671i | ||||
\(671\) | 28.3389 | 1.09401 | ||||||||
\(672\) | −25.7699 | − | 4.38756i | −0.994097 | − | 0.169254i | ||||
\(673\) | − | 3.33192i | − | 0.128436i | −0.997936 | − | 0.0642181i | \(-0.979545\pi\) | ||
0.997936 | − | 0.0642181i | \(-0.0204553\pi\) | |||||||
\(674\) | −17.4570 | − | 10.0788i | −0.672420 | − | 0.388222i | ||||
\(675\) | −15.7569 | + | 20.6572i | −0.606484 | + | 0.795095i | ||||
\(676\) | 3.76466 | + | 6.52057i | 0.144794 | + | 0.250791i | ||||
\(677\) | −28.0352 | − | 16.1861i | −1.07748 | − | 0.622083i | −0.147264 | − | 0.989097i | \(-0.547047\pi\) |
−0.930215 | + | 0.367014i | \(0.880380\pi\) | |||||||
\(678\) | 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 | 0.579019 | − | 0.815314i | \(-0.303436\pi\) |
−0.995592 | + | 0.0937881i | \(0.970102\pi\) | |||||||
\(684\) | −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 | ||||
\(690\) | −1.36108 | + | 0.860509i | −0.0518156 | + | 0.0327590i | ||||
\(691\) | 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 | ||||||||
\(695\) | 0.356892 | + | 0.366466i | 0.0135377 | + | 0.0139008i | ||||
\(696\) | −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 | ||||
\(700\) | 18.0089 | − | 10.7187i | 0.680671 | − | 0.405129i | ||||
\(701\) | − | 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 | ||||
\(705\) | −14.0441 | + | 26.7524i | −0.528932 | + | 1.00755i | ||||
\(706\) | 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 | \(-0.0522257\pi\) | |||||||
\(710\) | 11.3725 | − | 2.88650i | 0.426803 | − | 0.108329i | ||||
\(711\) | 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 | \(0.995807\pi\) | |||||||
\(720\) | −10.5544 | + | 3.91722i | −0.393338 | + | 0.145986i | ||||
\(721\) | −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 | ||||
\(725\) | 5.84173 | + | 0.154658i | 0.216956 | + | 0.00574387i | ||||
\(726\) | 5.93420 | + | 1.25483i | 0.220239 | + | 0.0465712i | ||||
\(727\) | 6.14612 | 0.227947 | 0.113973 | − | 0.993484i | \(-0.463642\pi\) | ||||
0.113973 | + | 0.993484i | \(0.463642\pi\) | |||||||
\(728\) | 25.7432 | − | 1.02372i | 0.954105 | − | 0.0379418i | ||||
\(729\) | 8.50535 | + | 25.6254i | 0.315013 | + | 0.949087i | ||||
\(730\) | 5.40930 | − | 5.26799i | 0.200207 | − | 0.194977i | ||||
\(731\) | −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 | −0.978559 | − | 0.205967i | \(-0.933966\pi\) |
0.667652 | + | 0.744473i | \(0.267299\pi\) | |||||||
\(734\) | 11.0370 | 0.407384 | ||||||||
\(735\) | 3.23660 | + | 26.9170i | 0.119384 | + | 0.992848i | ||||
\(736\) | −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 | \(0.581348\pi\) | |||||||
\(740\) | 10.5375 | + | 10.8201i | 0.387364 | + | 0.397756i | ||||
\(741\) | 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 | \(-0.243260\pi\) | ||||
0.721920 | + | 0.691976i | \(0.243260\pi\) | |||||||
\(744\) | 0.324280 | − | 1.53355i | 0.0118887 | − | 0.0562225i | ||||
\(745\) | 21.5837 | − | 5.47824i | 0.790765 | − | 0.200707i | ||||
\(746\) | 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 | ||||
\(750\) | −6.09448 | + | 10.8983i | −0.222539 | + | 0.397949i | ||||
\(751\) | −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 | \(-0.740393\pi\) | ||
0.685446 | − | 0.728124i | \(-0.259607\pi\) | |||||||
\(758\) | 0.180403 | − | 0.312467i | 0.00655252 | − | 0.0113493i | ||||
\(759\) | −3.36748 | − | 3.02568i | −0.122232 | − | 0.109825i | ||||
\(760\) | −22.4204 | + | 5.69061i | −0.813274 | + | 0.206420i | ||||
\(761\) | 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 | ||||||||
\(765\) | −14.3949 | − | 2.44448i | −0.520450 | − | 0.0883802i | ||||
\(766\) | −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 | \(0.926041\pi\) | |||||||
\(770\) | −11.2200 | − | 10.6403i | −0.404340 | − | 0.383450i | ||||
\(771\) | 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 | −0.755771 | − | 0.654836i | \(-0.772738\pi\) |
0.189219 | + | 0.981935i | \(0.439404\pi\) | |||||||
\(774\) | −5.12462 | + | 11.5756i | −0.184201 | + | 0.416075i | ||||
\(775\) | 0.933711 | + | 1.72087i | 0.0335399 | + | 0.0618154i | ||||
\(776\) | −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 | ||||
\(780\) | 21.8512 | − | 13.8149i | 0.782400 | − | 0.494651i | ||||
\(781\) | 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 | 0.876852 | − | 0.480760i | \(-0.159639\pi\) |
−0.854777 | + | 0.518996i | \(0.826306\pi\) | |||||||
\(788\) | −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 | ||||
\(795\) | −23.5749 | + | 14.9046i | −0.836114 | + | 0.528610i | ||||
\(796\) | 23.2580 | + | 13.4280i | 0.824359 | + | 0.475944i | ||||
\(797\) | 51.4416i | 1.82216i | 0.412235 | + | 0.911078i | \(0.364748\pi\) | ||||
−0.412235 | + | 0.911078i | \(0.635252\pi\) | |||||||
\(798\) | 2.21990 | − | 13.0384i | 0.0785837 | − | 0.461555i | ||||
\(799\) | −16.9805 | −0.600725 | ||||||||
\(800\) | −25.0695 | + | 13.6023i | −0.886340 | + | 0.480912i | ||||
\(801\) | 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 | ||||
\(805\) | 1.08465 | + | 3.65727i | 0.0382290 | + | 0.128902i | ||||
\(806\) | 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 | \(0.349139\pi\) | |||||||
\(810\) | 5.78658 | + | 11.6148i | 0.203320 | + | 0.408103i | ||||
\(811\) | − | 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 | ||||
\(815\) | −10.4183 | + | 2.64430i | −0.364936 | + | 0.0926259i | ||||
\(816\) | −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 | −0.949851 | − | 0.312704i | \(-0.898765\pi\) |
−0.204116 | + | 0.978947i | \(0.565432\pi\) | |||||||
\(824\) | 11.3412 | − | 19.6435i | 0.395090 | − | 0.684315i | ||||
\(825\) | −34.1407 | − | 8.16890i | −1.18863 | − | 0.284405i | ||||
\(826\) | 19.3050 | − | 0.767700i | 0.671708 | − | 0.0267117i | ||||
\(827\) | −7.13112 | −0.247973 | −0.123987 | − | 0.992284i | \(-0.539568\pi\) | ||||
−0.123987 | + | 0.992284i | \(0.539568\pi\) | |||||||
\(828\) | −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 | \(0.327740\pi\) | |||||||
\(830\) | −7.37136 | + | 1.87096i | −0.255864 | + | 0.0649418i | ||||
\(831\) | 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 | ||||
\(835\) | 6.94372 | + | 7.12999i | 0.240297 | + | 0.246743i | ||||
\(836\) | −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 | \(0.670206\pi\) | |||||||
\(840\) | −1.89073 | − | 23.6064i | −0.0652365 | − | 0.814499i | ||||
\(841\) | 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 | ||||
\(845\) | −7.61343 | + | 7.41454i | −0.261910 | + | 0.255068i | ||||
\(846\) | 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 | ||||
\(850\) | −7.01494 | − | 0.185719i | −0.240610 | − | 0.00637010i | ||||
\(851\) | −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 | \(-0.376550\pi\) | ||||
0.378181 | + | 0.925732i | \(0.376550\pi\) | |||||||
\(854\) | −10.0839 | + | 6.36920i | −0.345065 | + | 0.217950i | ||||
\(855\) | −10.4477 | − | 28.1497i | −0.357303 | − | 0.962700i | ||||
\(856\) | 21.7009 | − | 37.5871i | 0.741722 | − | 1.28470i | ||||
\(857\) | −12.4112 | + | 7.16559i | −0.423957 | + | 0.244772i | −0.696769 | − | 0.717296i | \(-0.745380\pi\) |
0.272812 | + | 0.962067i | \(0.412046\pi\) | |||||||
\(858\) | −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 | −0.970415 | − | 0.241443i | \(-0.922379\pi\) |
0.694303 | + | 0.719683i | \(0.255713\pi\) | |||||||
\(864\) | −3.00528 | + | 29.4881i | −0.102242 | + | 1.00321i | ||||
\(865\) | 24.8252 | − | 6.30099i | 0.844082 | − | 0.214240i | ||||
\(866\) | −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 | ||||||||
\(870\) | 1.35667 | − | 2.58430i | 0.0459955 | − | 0.0876159i | ||||
\(871\) | −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 | ||||||
\(875\) | 20.9174 | + | 20.9156i | 0.707137 | + | 0.707076i | ||||
\(876\) | 4.45486 | + | 13.6617i | 0.150516 | + | 0.461587i | ||||
\(877\) | 38.5317 | + | 22.2463i | 1.30112 | + | 0.751204i | 0.980597 | − | 0.196036i | \(-0.0628068\pi\) |
0.320527 | + | 0.947240i | \(0.396140\pi\) | |||||||
\(878\) | −9.72189 | + | 5.61294i | −0.328098 | + | 0.189427i | ||||
\(879\) | −26.7722 | − | 24.0549i | −0.903004 | − | 0.811351i | ||||
\(880\) | −10.6127 | − | 10.8974i | −0.357754 | − | 0.367351i | ||||
\(881\) | −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 | \(0.336600\pi\) | ||||
−0.491088 | + | 0.871110i | \(0.663400\pi\) | |||||||
\(884\) | 12.5822 | + | 7.26434i | 0.423185 | + | 0.244326i | ||||
\(885\) | 37.0734 | − | 23.4387i | 1.24621 | − | 0.787882i | ||||
\(886\) | −10.2505 | − | 17.7543i | −0.344371 | − | 0.596468i | ||||
\(887\) | −48.4743 | − | 27.9867i | −1.62761 | − | 0.939700i | −0.984804 | − | 0.173669i | \(-0.944438\pi\) |
−0.642804 | − | 0.766031i | \(-0.722229\pi\) | |||||||
\(888\) | 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 | ||||
\(900\) | −13.4953 | − | 19.5596i | −0.449842 | − | 0.651985i | ||||
\(901\) | −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 | ||||||||
\(905\) | 18.6609 | + | 19.1615i | 0.620310 | + | 0.636950i | ||||
\(906\) | −3.78776 | + | 4.21564i | −0.125840 | + | 0.140055i | ||||
\(907\) | −31.4075 | + | 18.1332i | −1.04287 | + | 0.602102i | −0.920645 | − | 0.390401i | \(-0.872336\pi\) |
−0.122226 | + | 0.992502i | \(0.539003\pi\) | |||||||
\(908\) | 7.44902 | + | 4.30070i | 0.247205 | + | 0.142724i | ||||
\(909\) | −15.9547 | + | 11.6431i | −0.529183 | + | 0.386178i | ||||
\(910\) | 4.57007 | + | 15.4095i | 0.151496 | + | 0.510821i | ||||
\(911\) | − | 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 | ||||
\(915\) | −12.5856 | + | 23.9741i | −0.416067 | + | 0.792559i | ||||
\(916\) | − | 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 | \(0.274307\pi\) | |||||||
\(920\) | −0.819779 | − | 3.22984i | −0.0270273 | − | 0.106485i | ||||
\(921\) | −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 | \(0.131095\pi\) | |||||||
\(930\) | 0.977090 | − | 0.0392781i | 0.0320401 | − | 0.00128798i | ||||
\(931\) | −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 | ||||
\(935\) | −4.85346 | − | 19.1221i | −0.158725 | − | 0.625360i | ||||
\(936\) | −3.11471 | − | 29.0466i | −0.101808 | − | 0.949417i | ||||
\(937\) | −44.1327 | −1.44175 | −0.720877 | − | 0.693063i | \(-0.756261\pi\) | ||||
−0.720877 | + | 0.693063i | \(0.756261\pi\) | |||||||
\(938\) | 0.592295 | + | 14.8942i | 0.0193391 | + | 0.486312i | ||||
\(939\) | −14.8965 | − | 45.6830i | −0.486128 | − | 1.49081i | ||||
\(940\) | −19.2812 | − | 19.7985i | −0.628885 | − | 0.645755i | ||||
\(941\) | −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 | ||||||||
\(945\) | 30.2064 | − | 5.70745i | 0.982613 | − | 0.185663i | ||||
\(946\) | −17.1047 | −0.556122 | ||||||||
\(947\) | 17.7437 | − | 30.7330i | 0.576593 | − | 0.998689i | −0.419273 | − | 0.907860i | \(-0.637715\pi\) |
0.995867 | − | 0.0908285i | \(-0.0289515\pi\) | |||||||
\(948\) | −6.88211 | + | 7.65955i | −0.223521 | + | 0.248771i | ||||
\(949\) | −11.0325 | − | 19.1088i | −0.358129 | − | 0.620297i | ||||
\(950\) | −6.88212 | − | 12.6840i | −0.223285 | − | 0.411524i | ||||
\(951\) | −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 | \(-0.556348\pi\) | ||||
−0.176099 | + | 0.984373i | \(0.556348\pi\) | |||||||
\(954\) | 1.48529 | + | 13.8513i | 0.0480882 | + | 0.448451i | ||||
\(955\) | −30.6629 | + | 7.78267i | −0.992227 | + | 0.251841i | ||||
\(956\) | −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 | ||||
\(960\) | 0.0500574 | + | 1.24524i | 0.00161560 | + | 0.0401899i | ||||
\(961\) | −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 | \(0.111733\pi\) | ||||
−0.939023 | + | 0.343855i | \(0.888267\pi\) | |||||||
\(968\) | −6.27575 | + | 10.8699i | −0.201710 | + | 0.349373i | ||||
\(969\) | 11.2780 | − | 12.5520i | 0.362301 | − | 0.403228i | ||||
\(970\) | −1.38325 | − | 5.44987i | −0.0444136 | − | 0.174985i | ||||
\(971\) | −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 | ||||||
\(975\) | 26.4874 | + | 25.0972i | 0.848275 | + | 0.803754i | ||||
\(976\) | −10.1609 | + | 5.86639i | −0.325242 | + | 0.187779i | ||||
\(977\) | 0.365536 | + | 0.633128i | 0.0116945 | + | 0.0202555i | 0.871813 | − | 0.489838i | \(-0.162944\pi\) |
−0.860119 | + | 0.510094i | \(0.829611\pi\) | |||||||
\(978\) | −1.11066 | + | 5.25241i | −0.0355150 | + | 0.167953i | ||||
\(979\) | 3.62691i | 0.115916i | ||||||||
\(980\) | −24.3245 | − | 4.81802i | −0.777017 | − | 0.153906i | ||||
\(981\) | −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 | −0.550658 | − | 0.834731i | \(-0.685623\pi\) |
0.447569 | + | 0.894249i | \(0.352290\pi\) | |||||||
\(984\) | −6.09913 | + | 6.78812i | −0.194433 | + | 0.216397i | ||||
\(985\) | 20.9453 | − | 20.3981i | 0.667373 | − | 0.649939i | ||||
\(986\) | 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 | ||||
\(990\) | −11.1851 | + | 13.5023i | −0.355486 | + | 0.429133i | ||||
\(991\) | 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 | 0.903387 | − | 0.428826i | \(-0.141073\pi\) |
−0.823068 | + | 0.567943i | \(0.807739\pi\) | |||||||
\(998\) | 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 \(a_p\))