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 | 89.7 | ||
Character | \(\chi\) | \(=\) | 105.89 |
Dual form | 105.2.p.a.59.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 | \(0.0934568\pi\) | |||||||
\(3\) | −1.69458 | + | 0.358331i | −0.978366 | + | 0.206883i | ||||
\(4\) | 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 | ||||||||
\(9\) | 2.74320 | − | 1.21444i | 0.914399 | − | 0.404814i | ||||
\(10\) | −0.354709 | − | 1.39752i | −0.112169 | − | 0.441934i | ||||
\(11\) | −3.51044 | + | 2.02675i | −1.05844 | + | 0.611089i | −0.924999 | − | 0.379968i | \(-0.875935\pi\) |
−0.133437 | + | 0.991057i | \(0.542602\pi\) | |||||||
\(12\) | −1.83392 | − | 2.04109i | −0.529407 | − | 0.589212i | ||||
\(13\) | −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 | ||||
\(15\) | −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 | \(0.248308\pi\) | |||||||
\(18\) | 0.206248 | − | 1.92339i | 0.0486132 | − | 0.453348i | ||||
\(19\) | −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 | ||||
\(21\) | −4.44222 | + | 1.12546i | −0.969372 | + | 0.245595i | ||||
\(22\) | 2.61372i | 0.557248i | ||||||||
\(23\) | −0.322403 | + | 0.558418i | −0.0672257 | + | 0.116438i | −0.897679 | − | 0.440650i | \(-0.854748\pi\) |
0.830453 | + | 0.557088i | \(0.188081\pi\) | |||||||
\(24\) | −3.91639 | + | 0.828150i | −0.799430 | + | 0.169045i | ||||
\(25\) | 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 | \(-0.965390\pi\) | ||
0.994095 | − | 0.108516i | \(-0.0346099\pi\) | |||||||
\(30\) | 1.10186 | + | 2.24110i | 0.201171 | + | 0.409167i | ||||
\(31\) | −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 | ||||
\(33\) | 5.22247 | − | 4.69239i | 0.909115 | − | 0.816841i | ||||
\(34\) | − | 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 | ||||
\(39\) | 7.13993 | − | 1.50979i | 1.14330 | − | 0.241760i | ||||
\(40\) | 3.70226 | − | 3.60554i | 0.585378 | − | 0.570085i | ||||
\(41\) | −2.27971 | −0.356031 | −0.178016 | − | 0.984028i | \(-0.556968\pi\) | ||||
−0.178016 | + | 0.984028i | \(0.556968\pi\) | |||||||
\(42\) | −0.803709 | + | 2.84347i | −0.124015 | + | 0.438757i | ||||
\(43\) | 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 | ||||
\(45\) | 2.49978 | − | 6.22504i | 0.372644 | − | 0.927974i | ||||
\(46\) | 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 | ||||
\(51\) | −2.80428 | + | 2.51965i | −0.392678 | + | 0.352822i | ||||
\(52\) | −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 | \(0.998019\pi\) | |||||||
\(54\) | 0.339707 | + | 3.33324i | 0.0462283 | + | 0.453597i | ||||
\(55\) | −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 | \(0.0971812\pi\) |
−0.216566 | + | 0.976268i | \(0.569485\pi\) | |||||||
\(60\) | −6.12206 | − | 0.408616i | −0.790354 | − | 0.0527521i | ||||
\(61\) | 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 | ||||||||
\(63\) | 7.12441 | − | 3.49897i | 0.897591 | − | 0.440828i | ||||
\(64\) | 0.321779 | 0.0402224 | ||||||||
\(65\) | −6.74954 | + | 6.57321i | −0.837177 | + | 0.815307i | ||||
\(66\) | −0.936579 | − | 4.42916i | −0.115285 | − | 0.545192i | ||||
\(67\) | 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 | \(-0.839590\pi\) | ||
0.875686 | − | 0.482881i | \(-0.160410\pi\) | |||||||
\(72\) | 6.33988 | − | 2.80673i | 0.747163 | − | 0.330777i | ||||
\(73\) | 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 | ||||
\(75\) | 1.56679 | + | 8.51735i | 0.180917 | + | 0.983498i | ||||
\(76\) | − | 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 | ||||
\(81\) | 6.05026 | − | 6.66291i | 0.672251 | − | 0.740323i | ||||
\(82\) | −0.734986 | + | 1.27303i | −0.0811656 | + | 0.140583i | ||||
\(83\) | 5.27461i | 0.578964i | 0.957183 | + | 0.289482i | \(0.0934831\pi\) | ||||
−0.957183 | + | 0.289482i | \(0.906517\pi\) | |||||||
\(84\) | −5.06285 | − | 5.20315i | −0.552402 | − | 0.567710i | ||||
\(85\) | 1.32178 | − | 4.68409i | 0.143367 | − | 0.508061i | ||||
\(86\) | 3.65439 | + | 2.10987i | 0.394064 | + | 0.227513i | ||||
\(87\) | 0.418802 | + | 1.98055i | 0.0449002 | + | 0.212337i | ||||
\(88\) | −8.11308 | + | 4.68409i | −0.864857 | + | 0.499325i | ||||
\(89\) | 0.447379 | − | 0.774883i | 0.0474221 | − | 0.0821375i | −0.841340 | − | 0.540506i | \(-0.818233\pi\) |
0.888762 | + | 0.458369i | \(0.151566\pi\) | |||||||
\(90\) | −2.67024 | − | 3.40289i | −0.281468 | − | 0.358696i | ||||
\(91\) | −11.1388 | + | 0.442954i | −1.16766 | + | 0.0464342i | ||||
\(92\) | −1.02152 | −0.106501 | ||||||||
\(93\) | 0.504494 | − | 0.453288i | 0.0523135 | − | 0.0470038i | ||||
\(94\) | −4.35644 | + | 2.51519i | −0.449333 | + | 0.259422i | ||||
\(95\) | −9.70106 | + | 2.46227i | −0.995308 | + | 0.252623i | ||||
\(96\) | −6.60347 | − | 7.34943i | −0.673964 | − | 0.750098i | ||||
\(97\) | 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 | 0.982026 | − | 0.188745i | \(-0.0604421\pi\) |
−0.654471 | + | 0.756087i | \(0.727109\pi\) | |||||||
\(102\) | 0.502911 | + | 2.37831i | 0.0497956 | + | 0.235487i | ||||
\(103\) | −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 | ||||||||
\(105\) | −5.36031 | + | 8.73310i | −0.523112 | + | 0.852264i | ||||
\(106\) | −4.64356 | −0.451022 | ||||||||
\(107\) | 9.38974 | − | 16.2635i | 0.907740 | − | 1.57225i | 0.0905447 | − | 0.995892i | \(-0.471139\pi\) |
0.817196 | − | 0.576360i | \(-0.195527\pi\) | |||||||
\(108\) | −7.50959 | − | 3.37192i | −0.722611 | − | 0.324463i | ||||
\(109\) | −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 | \(-0.636326\pi\) | ||||
−0.415307 | + | 0.909681i | \(0.636326\pi\) | |||||||
\(114\) | 3.71848 | − | 3.34105i | 0.348267 | − | 0.312918i | ||||
\(115\) | 0.354709 | + | 1.39752i | 0.0330768 | + | 0.130319i | ||||
\(116\) | 1.60351 | − | 0.925786i | 0.148882 | − | 0.0859570i | ||||
\(117\) | −11.5582 | + | 5.11692i | −1.06855 | + | 0.473059i | ||||
\(118\) | 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 | ||||
\(123\) | 3.86315 | − | 0.816892i | 0.348329 | − | 0.0736567i | ||||
\(124\) | −0.537228 | − | 0.310168i | −0.0482445 | − | 0.0278540i | ||||
\(125\) | −7.58567 | − | 8.21326i | −0.678483 | − | 0.734616i | ||||
\(126\) | 0.343045 | − | 5.10648i | 0.0305609 | − | 0.454921i | ||||
\(127\) | − | 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 | ||||
\(129\) | −2.34499 | − | 11.0896i | −0.206465 | − | 0.976389i | ||||
\(130\) | 1.49453 | + | 5.88829i | 0.131079 | + | 0.516437i | ||||
\(131\) | 8.27814 | − | 14.3382i | 0.723265 | − | 1.25273i | −0.236419 | − | 0.971651i | \(-0.575974\pi\) |
0.959684 | − | 0.281080i | \(-0.0906928\pi\) | |||||||
\(132\) | 10.5746 | + | 3.44821i | 0.920405 | + | 0.300128i | ||||
\(133\) | −10.4830 | − | 5.50901i | −0.908992 | − | 0.477692i | ||||
\(134\) | − | 5.63392i | − | 0.486697i | ||||||
\(135\) | −2.00544 | + | 11.4446i | −0.172601 | + | 0.984992i | ||||
\(136\) | 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 | \(0.510872\pi\) | |||||||
\(138\) | −0.481306 | − | 0.535677i | −0.0409715 | − | 0.0455998i | ||||
\(139\) | − | 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 | ||||
\(144\) | −0.536798 | + | 5.00596i | −0.0447332 | + | 0.417164i | ||||
\(145\) | −1.82335 | − | 1.87226i | −0.151421 | − | 0.155483i | ||||
\(146\) | 3.37675 | 0.279462 | ||||||||
\(147\) | −11.6254 | + | 3.44234i | −0.958848 | + | 0.283920i | ||||
\(148\) | − | 6.75445i | − | 0.555212i | ||||||
\(149\) | 8.62438 | + | 4.97929i | 0.706537 | + | 0.407919i | 0.809777 | − | 0.586737i | \(-0.199588\pi\) |
−0.103240 | + | 0.994656i | \(0.532921\pi\) | |||||||
\(150\) | 5.26138 | + | 1.87109i | 0.429590 | + | 0.152774i | ||||
\(151\) | 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 | ||||
\(156\) | 7.72703 | + | 8.59991i | 0.618657 | + | 0.688544i | ||||
\(157\) | 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 | ||||
\(159\) | 8.33653 | + | 9.27827i | 0.661130 | + | 0.735814i | ||||
\(160\) | 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 | ||||
\(165\) | 1.04551 | − | 15.6643i | 0.0813930 | − | 1.21946i | ||||
\(166\) | 2.94544 | + | 1.70055i | 0.228611 | + | 0.131988i | ||||
\(167\) | 4.45089i | 0.344420i | 0.985060 | + | 0.172210i | \(0.0550908\pi\) | ||||
−0.985060 | + | 0.172210i | \(0.944909\pi\) | |||||||
\(168\) | −10.2666 | + | 2.60108i | −0.792082 | + | 0.200678i | ||||
\(169\) | 4.75268 | 0.365590 | ||||||||
\(170\) | −2.18953 | − | 2.24827i | −0.167930 | − | 0.172434i | ||||
\(171\) | −13.3515 | − | 1.43170i | −1.02101 | − | 0.109485i | ||||
\(172\) | −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 | ||||
\(175\) | −0.175637 | − | 13.2276i | −0.0132769 | − | 0.999912i | ||||
\(176\) | − | 6.80268i | − | 0.512771i | ||||||
\(177\) | −13.1099 | − | 14.5908i | −0.985400 | − | 1.09672i | ||||
\(178\) | −0.288473 | − | 0.499649i | −0.0216219 | − | 0.0374503i | ||||
\(179\) | −9.04522 | + | 5.22226i | −0.676071 | + | 0.390330i | −0.798373 | − | 0.602163i | \(-0.794306\pi\) |
0.122302 | + | 0.992493i | \(0.460972\pi\) | |||||||
\(180\) | 10.5207 | − | 1.50129i | 0.784169 | − | 0.111900i | ||||
\(181\) | − | 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 | ||||
\(186\) | −0.0904741 | − | 0.427860i | −0.00663389 | − | 0.0313722i | ||||
\(187\) | −4.41141 | + | 7.64079i | −0.322594 | + | 0.558750i | ||||
\(188\) | − | 12.3592i | − | 0.901385i | ||||||
\(189\) | −10.8191 | + | 8.48217i | −0.786973 | + | 0.616987i | ||||
\(190\) | −1.75268 | + | 6.21109i | −0.127153 | + | 0.450600i | ||||
\(191\) | −12.2522 | − | 7.07383i | −0.886541 | − | 0.511844i | −0.0137312 | − | 0.999906i | \(-0.504371\pi\) |
−0.872809 | + | 0.488061i | \(0.837704\pi\) | |||||||
\(192\) | −0.545280 | + | 0.115303i | −0.0393522 | + | 0.00832131i | ||||
\(193\) | 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 | ||||
\(195\) | 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 | \(0.345773\pi\) | |||||||
\(198\) | 3.17421 | + | 7.16996i | 0.225582 | + | 0.509547i | ||||
\(199\) | 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 | ||||
\(201\) | −11.2571 | + | 10.1145i | −0.794015 | + | 0.713424i | ||||
\(202\) | 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 | ||||
\(207\) | −0.206248 | + | 1.92339i | −0.0143353 | + | 0.133685i | ||||
\(208\) | 3.53550 | − | 6.12367i | 0.245143 | − | 0.424600i | ||||
\(209\) | 18.1435 | 1.25501 | ||||||||
\(210\) | 3.14855 | + | 5.80887i | 0.217270 | + | 0.400850i | ||||
\(211\) | −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 | ||||
\(213\) | 2.91598 | + | 13.7899i | 0.199800 | + | 0.944869i | ||||
\(214\) | −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 | ||||||||
\(219\) | −6.06225 | − | 6.74707i | −0.409649 | − | 0.455925i | ||||
\(220\) | −13.9180 | + | 3.53258i | −0.938349 | + | 0.238166i | ||||
\(221\) | −7.94218 | + | 4.58542i | −0.534249 | + | 0.308449i | ||||
\(222\) | 3.54199 | − | 3.18248i | 0.237723 | − | 0.213594i | ||||
\(223\) | −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 | ||||
\(225\) | −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 | \(0.391002\pi\) | |||||||
\(228\) | 2.54093 | + | 12.0163i | 0.168277 | + | 0.795797i | ||||
\(229\) | −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 | ||||
\(231\) | 13.3131 | − | 12.9541i | 0.875939 | − | 0.852320i | ||||
\(232\) | − | 2.70114i | − | 0.177339i | ||||||
\(233\) | −4.21524 | + | 7.30101i | −0.276150 | + | 0.478305i | −0.970425 | − | 0.241405i | \(-0.922392\pi\) |
0.694275 | + | 0.719710i | \(0.255725\pi\) | |||||||
\(234\) | −0.869006 | + | 8.10400i | −0.0568087 | + | 0.529775i | ||||
\(235\) | −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 | \(-0.971977\pi\) | ||
0.996127 | − | 0.0879233i | \(-0.0280230\pi\) | |||||||
\(240\) | −2.86778 | − | 5.83286i | −0.185114 | − | 0.376509i | ||||
\(241\) | −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 | ||||
\(243\) | −7.86512 | + | 13.4588i | −0.504548 | + | 0.863384i | ||||
\(244\) | 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 | ||||
\(249\) | −1.89006 | − | 8.93825i | −0.119778 | − | 0.566439i | ||||
\(250\) | −7.03208 | + | 1.58800i | −0.444748 | + | 0.100434i | ||||
\(251\) | −8.81039 | −0.556107 | −0.278054 | − | 0.960566i | \(-0.589689\pi\) | ||||
−0.278054 | + | 0.960566i | \(0.589689\pi\) | |||||||
\(252\) | 10.4438 | + | 7.00297i | 0.657900 | + | 0.441146i | ||||
\(253\) | − | 2.61372i | − | 0.164323i | ||||||
\(254\) | −8.83694 | − | 5.10201i | −0.554479 | − | 0.320128i | ||||
\(255\) | −0.561404 | + | 8.41119i | −0.0351565 | + | 0.526729i | ||||
\(256\) | 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 | ||||
\(261\) | −1.41938 | − | 3.20613i | −0.0878577 | − | 0.198454i | ||||
\(262\) | −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 | \(0.920376\pi\) | |||||||
\(264\) | 12.0698 | − | 10.8447i | 0.742845 | − | 0.667447i | ||||
\(265\) | −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 | \(-0.990419\pi\) |
0.473709 | − | 0.880681i | \(-0.342915\pi\) | |||||||
\(270\) | 5.74430 | + | 4.80964i | 0.349587 | + | 0.292705i | ||||
\(271\) | 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 | ||||||||
\(273\) | 18.7168 | − | 4.74200i | 1.13279 | − | 0.286999i | ||||
\(274\) | 12.8069 | 0.773692 | ||||||||
\(275\) | 9.66568 | + | 17.8142i | 0.582863 | + | 1.07424i | ||||
\(276\) | 1.73104 | − | 0.366042i | 0.104197 | − | 0.0220331i | ||||
\(277\) | 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 | \(0.436940\pi\) | ||||
−0.196817 | + | 0.980440i | \(0.563060\pi\) | |||||||
\(282\) | 6.48106 | − | 5.82324i | 0.385942 | − | 0.346769i | ||||
\(283\) | −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 | ||||
\(285\) | 15.5569 | − | 7.64870i | 0.921512 | − | 0.453070i | ||||
\(286\) | − | 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 | ||||
\(291\) | −6.60832 | + | 1.39738i | −0.387387 | + | 0.0819158i | ||||
\(292\) | −4.14818 | + | 7.18485i | −0.242754 | + | 0.420462i | ||||
\(293\) | 20.7797i | 1.21396i | 0.794716 | + | 0.606982i | \(0.207620\pi\) | ||||
−0.794716 | + | 0.606982i | \(0.792380\pi\) | |||||||
\(294\) | −1.82580 | + | 7.60166i | −0.106483 | + | 0.443338i | ||||
\(295\) | 24.3716 | + | 6.87729i | 1.41897 | + | 0.400411i | ||||
\(296\) | −8.53351 | − | 4.92683i | −0.496000 | − | 0.286366i | ||||
\(297\) | 8.62762 | − | 19.2145i | 0.500625 | − | 1.11494i | ||||
\(298\) | 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 | ||||||||
\(303\) | −7.62146 | − | 8.48241i | −0.437841 | − | 0.487302i | ||||
\(304\) | 6.50535 | − | 3.75587i | 0.373108 | − | 0.215414i | ||||
\(305\) | 15.1524 | − | 3.84588i | 0.867621 | − | 0.220214i | ||||
\(306\) | −1.70444 | − | 3.85002i | −0.0974366 | − | 0.220091i | ||||
\(307\) | −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 | 0.859465 | − | 0.511195i | \(-0.170797\pi\) |
−0.872440 | + | 0.488721i | \(0.837464\pi\) | |||||||
\(312\) | 16.5013 | − | 3.48932i | 0.934202 | − | 0.197544i | ||||
\(313\) | 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 | ||||||||
\(315\) | 5.95412 | − | 16.7197i | 0.335477 | − | 0.942048i | ||||
\(316\) | −5.94509 | −0.334437 | ||||||||
\(317\) | −2.26170 | + | 3.91737i | −0.127030 | + | 0.220022i | −0.922524 | − | 0.385939i | \(-0.873878\pi\) |
0.795495 | + | 0.605960i | \(0.207211\pi\) | |||||||
\(318\) | 7.86888 | − | 1.66393i | 0.441265 | − | 0.0933087i | ||||
\(319\) | 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 | ||||||||
\(324\) | 13.9339 | + | 3.02306i | 0.774103 | + | 0.167948i | ||||
\(325\) | −0.557547 | + | 21.0596i | −0.0309272 | + | 1.16818i | ||||
\(326\) | 2.68428 | − | 1.54977i | 0.148668 | − | 0.0858337i | ||||
\(327\) | 1.04880 | + | 1.16728i | 0.0579989 | + | 0.0645508i | ||||
\(328\) | −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 | ||||
\(333\) | −12.7178 | − | 1.36375i | −0.696931 | − | 0.0747330i | ||||
\(334\) | 2.48546 | + | 1.43498i | 0.135998 | + | 0.0785186i | ||||
\(335\) | 5.30596 | − | 18.8031i | 0.289895 | − | 1.02732i | ||||
\(336\) | 2.09180 | − | 7.40063i | 0.114117 | − | 0.403738i | ||||
\(337\) | 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 | ||||
\(339\) | 14.9624 | − | 3.16390i | 0.812644 | − | 0.171840i | ||||
\(340\) | 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 | ||||||||
\(345\) | −1.10186 | − | 2.24110i | −0.0593220 | − | 0.120657i | ||||
\(346\) | 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 | \(0.809502\pi\) | |||||||
\(348\) | −2.38553 | + | 2.14340i | −0.127878 | + | 0.114899i | ||||
\(349\) | 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 | −0.573619 | − | 0.819122i | \(-0.694461\pi\) |
0.422571 | + | 0.906330i | \(0.361128\pi\) | |||||||
\(354\) | −12.3745 | + | 2.61667i | −0.657695 | + | 0.139075i | ||||
\(355\) | −12.6954 | − | 13.0359i | −0.673800 | − | 0.691875i | ||||
\(356\) | 1.41750 | 0.0751273 | ||||||||
\(357\) | −7.14869 | + | 6.95592i | −0.378349 | + | 0.368147i | ||||
\(358\) | 6.73469i | 0.355939i | ||||||||
\(359\) | 14.7282 | + | 8.50335i | 0.777326 | + | 0.448789i | 0.835482 | − | 0.549518i | \(-0.185189\pi\) |
−0.0581557 | + | 0.998308i | \(0.518522\pi\) | |||||||
\(360\) | 5.77730 | − | 14.3869i | 0.304491 | − | 0.758255i | ||||
\(361\) | 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 | ||||
\(366\) | −5.80799 | + | 5.21849i | −0.303588 | + | 0.272775i | ||||
\(367\) | −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 | ||||
\(369\) | −6.25370 | + | 2.76858i | −0.325555 | + | 0.144126i | ||||
\(370\) | −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 | ||||
\(375\) | 15.7976 | + | 11.1998i | 0.815784 | + | 0.578357i | ||||
\(376\) | −15.6145 | − | 9.01502i | −0.805255 | − | 0.464914i | ||||
\(377\) | 4.92442i | 0.253621i | ||||||||
\(378\) | 1.24849 | + | 8.77626i | 0.0642156 | + | 0.451402i | ||||
\(379\) | −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 | ||||
\(381\) | 5.67057 | + | 26.8166i | 0.290512 | + | 1.37386i | ||||
\(382\) | −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 | ||||
\(385\) | −5.59048 | + | 23.3201i | −0.284917 | + | 1.18850i | ||||
\(386\) | − | 3.99220i | − | 0.203198i | ||||||
\(387\) | 7.94754 | + | 17.9520i | 0.403996 | + | 0.912552i | ||||
\(388\) | 3.08899 | + | 5.35029i | 0.156820 | + | 0.271620i | ||||
\(389\) | −7.88909 | + | 4.55477i | −0.399993 | + | 0.230936i | −0.686481 | − | 0.727148i | \(-0.740845\pi\) |
0.286488 | + | 0.958084i | \(0.407512\pi\) | |||||||
\(390\) | −4.64256 | − | 9.44263i | −0.235085 | − | 0.478146i | ||||
\(391\) | 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 | ||||
\(396\) | −19.1552 | − | 2.05404i | −0.962584 | − | 0.103219i | ||||
\(397\) | 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 | ||||||
\(399\) | 19.7383 | + | 5.57906i | 0.988153 | + | 0.279302i | ||||
\(400\) | 7.15333 | + | 4.38641i | 0.357666 | + | 0.219320i | ||||
\(401\) | 26.1500 | + | 15.0977i | 1.30587 | + | 0.753944i | 0.981404 | − | 0.191953i | \(-0.0614821\pi\) |
0.324466 | + | 0.945897i | \(0.394815\pi\) | |||||||
\(402\) | 2.01881 | + | 9.54713i | 0.100689 | + | 0.476167i | ||||
\(403\) | 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 | ||||||||
\(408\) | −6.48106 | + | 5.82324i | −0.320860 | + | 0.288294i | ||||
\(409\) | −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 | ||||
\(411\) | −22.9921 | − | 25.5894i | −1.13412 | − | 1.26223i | ||||
\(412\) | −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 | ||||
\(417\) | 0.0819740 | + | 0.387662i | 0.00401428 | + | 0.0189839i | ||||
\(418\) | 5.84953 | − | 10.1317i | 0.286110 | − | 0.495556i | ||||
\(419\) | −39.4615 | −1.92782 | −0.963911 | − | 0.266226i | \(-0.914223\pi\) | ||||
−0.963911 | + | 0.266226i | \(0.914223\pi\) | |||||||
\(420\) | −16.2276 | − | 0.436630i | −0.791826 | − | 0.0213054i | ||||
\(421\) | −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 | ||||
\(423\) | −23.2708 | − | 2.49536i | −1.13146 | − | 0.121329i | ||||
\(424\) | −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 | ||||||||
\(429\) | −22.0043 | + | 19.7709i | −1.06238 | + | 0.954548i | ||||
\(430\) | 9.14562 | − | 2.32129i | 0.441041 | − | 0.111942i | ||||
\(431\) | 26.6240 | − | 15.3713i | 1.28243 | − | 0.740412i | 0.305138 | − | 0.952308i | \(-0.401297\pi\) |
0.977292 | + | 0.211896i | \(0.0679639\pi\) | |||||||
\(432\) | −0.884148 | − | 8.67536i | −0.0425386 | − | 0.417393i | ||||
\(433\) | 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 | ||||
\(435\) | 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 | ||||
\(438\) | −5.72217 | + | 1.21000i | −0.273416 | + | 0.0578159i | ||||
\(439\) | 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 | ||||
\(441\) | 18.4667 | − | 9.99907i | 0.879366 | − | 0.476146i | ||||
\(442\) | 5.91341i | 0.281272i | ||||||||
\(443\) | 15.8970 | − | 27.5344i | 0.755288 | − | 1.30820i | −0.189942 | − | 0.981795i | \(-0.560830\pi\) |
0.945231 | − | 0.326403i | \(-0.105837\pi\) | |||||||
\(444\) | 2.42033 | + | 11.4460i | 0.114864 | + | 0.543201i | ||||
\(445\) | −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 | \(0.0225112\pi\) | ||||
−0.997500 | + | 0.0706621i | \(0.977489\pi\) | |||||||
\(450\) | −9.58629 | − | 1.28540i | −0.451902 | − | 0.0605943i | ||||
\(451\) | 8.00279 | − | 4.62041i | 0.376837 | − | 0.217567i | ||||
\(452\) | −6.99400 | − | 12.1140i | −0.328970 | − | 0.569793i | ||||
\(453\) | −5.87426 | − | 6.53784i | −0.275997 | − | 0.307175i | ||||
\(454\) | 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 | ||||
\(459\) | −4.63273 | + | 10.3175i | −0.216237 | + | 0.481582i | ||||
\(460\) | −1.63639 | + | 1.59365i | −0.0762973 | + | 0.0743041i | ||||
\(461\) | 31.9710 | 1.48904 | 0.744519 | − | 0.667602i | \(-0.232679\pi\) | ||||
0.744519 | + | 0.667602i | \(0.232679\pi\) | |||||||
\(462\) | −2.94164 | − | 11.6107i | −0.136857 | − | 0.540181i | ||||
\(463\) | − | 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 | ||||
\(465\) | 0.100997 | − | 1.51318i | 0.00468363 | − | 0.0701721i | ||||
\(466\) | 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 | ||||
\(471\) | −19.5099 | − | 21.7139i | −0.898970 | − | 1.00052i | ||||
\(472\) | 13.0867 | + | 22.6668i | 0.602364 | + | 1.04332i | ||||
\(473\) | −13.2635 | − | 22.9730i | −0.609854 | − | 1.05630i | ||||
\(474\) | −2.80113 | − | 3.11756i | −0.128660 | − | 0.143194i | ||||
\(475\) | −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 | \(-0.979414\pi\) |
0.442986 | − | 0.896529i | \(-0.353919\pi\) | |||||||
\(480\) | −22.0439 | − | 1.47132i | −1.00616 | − | 0.0671563i | ||||
\(481\) | 15.5573 | + | 8.98204i | 0.709354 | + | 0.409546i | ||||
\(482\) | 0.986217i | 0.0449209i | ||||||||
\(483\) | 0.803709 | − | 2.84347i | 0.0365700 | − | 0.129382i | ||||
\(484\) | 8.60377 | 0.391080 | ||||||||
\(485\) | 6.24700 | − | 6.08380i | 0.283662 | − | 0.276251i | ||||
\(486\) | 4.97991 | + | 8.73119i | 0.225893 | + | 0.396055i | ||||
\(487\) | −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 | \(-0.820658\pi\) | ||
0.845434 | − | 0.534080i | \(-0.179342\pi\) | |||||||
\(492\) | 4.18081 | + | 4.65310i | 0.188486 | + | 0.209778i | ||||
\(493\) | −1.27195 | − | 2.20308i | −0.0572858 | − | 0.0992219i | ||||
\(494\) | 10.5313 | − | 6.08026i | 0.473826 | − | 0.273564i | ||||
\(495\) | 3.84131 | + | 26.9190i | 0.172654 | + | 1.20992i | ||||
\(496\) | − | 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 | ||||
\(501\) | −1.59489 | − | 7.54238i | −0.0712545 | − | 0.336969i | ||||
\(502\) | −2.84050 | + | 4.91988i | −0.126778 | + | 0.219585i | ||||
\(503\) | 16.8580i | 0.751659i | 0.926689 | + | 0.375830i | \(0.122642\pi\) | ||||
−0.926689 | + | 0.375830i | \(0.877358\pi\) | |||||||
\(504\) | 16.4654 | − | 8.08656i | 0.733429 | − | 0.360204i | ||||
\(505\) | 14.1685 | + | 3.99812i | 0.630488 | + | 0.177914i | ||||
\(506\) | −1.45955 | − | 0.842672i | −0.0648849 | − | 0.0374613i | ||||
\(507\) | −8.05379 | + | 1.70303i | −0.357681 | + | 0.0756343i | ||||
\(508\) | 21.7115 | − | 12.5351i | 0.963292 | − | 0.556157i | ||||
\(509\) | −1.47582 | + | 2.55620i | −0.0654147 | + | 0.113302i | −0.896878 | − | 0.442278i | \(-0.854170\pi\) |
0.831463 | + | 0.555580i | \(0.187504\pi\) | |||||||
\(510\) | 4.51596 | + | 3.02529i | 0.199970 | + | 0.133962i | ||||
\(511\) | 7.39902 | + | 11.7144i | 0.327313 | + | 0.518214i | ||||
\(512\) | −17.3304 | −0.765902 | ||||||||
\(513\) | 23.1382 | − | 2.35812i | 1.02158 | − | 0.104114i | ||||
\(514\) | −11.2262 | + | 6.48142i | −0.495164 | + | 0.285883i | ||||
\(515\) | 5.39894 | + | 21.2713i | 0.237906 | + | 0.937323i | ||||
\(516\) | 13.3573 | − | 12.0015i | 0.588021 | − | 0.528338i | ||||
\(517\) | 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 | 0.638887 | − | 0.769300i | \(-0.279395\pi\) |
−0.985677 | + | 0.168642i | \(0.946062\pi\) | |||||||
\(522\) | −2.24797 | − | 0.241054i | −0.0983911 | − | 0.0105506i | ||||
\(523\) | −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 | ||||||||
\(525\) | 5.03749 | + | 22.3523i | 0.219854 | + | 0.975533i | ||||
\(526\) | −5.64798 | −0.246263 | ||||||||
\(527\) | −0.426145 | + | 0.738105i | −0.0185632 | + | 0.0321524i | ||||
\(528\) | 2.43761 | + | 11.5277i | 0.106083 | + | 0.501678i | ||||
\(529\) | 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 | ||||||||
\(534\) | 0.667880 | + | 0.743327i | 0.0289020 | + | 0.0321669i | ||||
\(535\) | −10.3306 | − | 40.7016i | −0.446633 | − | 1.75968i | ||||
\(536\) | 17.4879 | − | 10.0966i | 0.755361 | − | 0.436108i | ||||
\(537\) | 13.4565 | − | 12.0907i | 0.580693 | − | 0.521753i | ||||
\(538\) | −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 | ||||
\(543\) | 4.28620 | + | 20.2698i | 0.183938 | + | 0.869860i | ||||
\(544\) | 10.7527 | + | 6.20806i | 0.461017 | + | 0.266168i | ||||
\(545\) | −1.94975 | − | 0.550189i | −0.0835180 | − | 0.0235675i | ||||
\(546\) | 3.38634 | − | 11.9807i | 0.144922 | − | 0.512725i | ||||
\(547\) | − | 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 | ||||
\(549\) | 20.8541 | + | 2.23622i | 0.890029 | + | 0.0954393i | ||||
\(550\) | 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 | ||||||
\(555\) | 14.8185 | − | 7.28567i | 0.629012 | − | 0.309259i | ||||
\(556\) | 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 | \(0.825044\pi\) | |||||||
\(558\) | 0.306631 | + | 0.692623i | 0.0129807 | + | 0.0293211i | ||||
\(559\) | − | 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 | −0.574816 | − | 0.818282i | \(-0.694926\pi\) |
0.421245 | + | 0.906947i | \(0.361593\pi\) | |||||||
\(564\) | 4.42868 | + | 20.9436i | 0.186481 | + | 0.881884i | ||||
\(565\) | −14.1443 | + | 13.7748i | −0.595054 | + | 0.579509i | ||||
\(566\) | −10.1953 | −0.428542 | ||||||||
\(567\) | 15.2944 | − | 18.2505i | 0.642303 | − | 0.766450i | ||||
\(568\) | − | 18.8072i | − | 0.789132i | ||||||
\(569\) | −22.3139 | − | 12.8829i | −0.935447 | − | 0.540081i | −0.0469169 | − | 0.998899i | \(-0.514940\pi\) |
−0.888530 | + | 0.458818i | \(0.848273\pi\) | |||||||
\(570\) | 0.744420 | − | 11.1532i | 0.0311803 | − | 0.467157i | ||||
\(571\) | −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 | ||||
\(576\) | 0.882703 | − | 0.390782i | 0.0367793 | − | 0.0162826i | ||||
\(577\) | −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 | ||||
\(579\) | −7.97680 | + | 7.16716i | −0.331504 | + | 0.297857i | ||||
\(580\) | 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 | ||||
\(585\) | −10.5325 | + | 26.2285i | −0.435467 | + | 1.08442i | ||||
\(586\) | 11.6038 | + | 6.69944i | 0.479347 | + | 0.276751i | ||||
\(587\) | − | 31.0435i | − | 1.28130i | −0.767832 | − | 0.640652i | \(-0.778664\pi\) | ||
0.767832 | − | 0.640652i | \(-0.221336\pi\) | |||||||
\(588\) | −13.9315 | − | 13.2231i | −0.574524 | − | 0.545312i | ||||
\(589\) | 1.75268 | 0.0722178 | ||||||||
\(590\) | 11.6979 | − | 11.3923i | 0.481594 | − | 0.469012i | ||||
\(591\) | −22.1568 | + | 4.68522i | −0.911408 | + | 0.192724i | ||||
\(592\) | 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 | ||||
\(595\) | 3.00190 | − | 12.5221i | 0.123066 | − | 0.513356i | ||||
\(596\) | 15.7766i | 0.646236i | ||||||||
\(597\) | −21.8409 | + | 19.6241i | −0.893888 | + | 0.803159i | ||||
\(598\) | −0.875911 | − | 1.51712i | −0.0358187 | − | 0.0620397i | ||||
\(599\) | 31.8553 | − | 18.3917i | 1.30157 | − | 0.751463i | 0.320899 | − | 0.947113i | \(-0.396015\pi\) |
0.980674 | + | 0.195650i | \(0.0626817\pi\) | |||||||
\(600\) | 3.62105 | + | 19.6847i | 0.147829 | + | 0.803624i | ||||
\(601\) | − | 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 | ||||
\(606\) | −7.19392 | + | 1.52121i | −0.292233 | + | 0.0617948i | ||||
\(607\) | −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 | ||||||
\(609\) | 1.31538 | + | 5.19187i | 0.0533021 | + | 0.210385i | ||||
\(610\) | 2.73755 | − | 9.70127i | 0.110840 | − | 0.392793i | ||||
\(611\) | 28.4666 | + | 16.4352i | 1.15163 | + | 0.664896i | ||||
\(612\) | 10.2857 | + | 1.10295i | 0.415774 | + | 0.0445841i | ||||
\(613\) | −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 | ||||
\(615\) | 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 | \(0.871925\pi\) | |||||||
\(618\) | −7.32584 | − | 8.15340i | −0.294689 | − | 0.327978i | ||||
\(619\) | −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 | ||||
\(621\) | −0.339707 | − | 3.33324i | −0.0136320 | − | 0.133758i | ||||
\(622\) | −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 | ||||
\(627\) | −30.7456 | + | 6.50139i | −1.22786 | + | 0.259641i | ||||
\(628\) | −13.3499 | + | 23.1228i | −0.532720 | + | 0.922698i | ||||
\(629\) | −9.28004 | −0.370020 | ||||||||
\(630\) | −7.41696 | − | 8.71537i | −0.295499 | − | 0.347229i | ||||
\(631\) | −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 | ||||
\(633\) | 31.2326 | − | 6.60437i | 1.24139 | − | 0.262500i | ||||
\(634\) | 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 | ||||||||
\(639\) | −9.88271 | − | 22.3232i | −0.390954 | − | 0.883092i | ||||
\(640\) | 6.16186 | + | 24.2771i | 0.243569 | + | 0.959635i | ||||
\(641\) | −30.6083 | + | 17.6717i | −1.20896 | + | 0.697991i | −0.962531 | − | 0.271171i | \(-0.912589\pi\) |
−0.246424 | + | 0.969162i | \(0.579256\pi\) | |||||||
\(642\) | 14.0177 | + | 15.6012i | 0.553234 | + | 0.615730i | ||||
\(643\) | 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 | ||||
\(645\) | −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 | \(0.630014\pi\) | |||||||
\(648\) | 13.9829 | − | 15.3988i | 0.549302 | − | 0.604924i | ||||
\(649\) | −39.7555 | − | 22.9528i | −1.56054 | − | 0.900977i | ||||
\(650\) | 11.5803 | + | 7.10102i | 0.454217 | + | 0.278525i | ||||
\(651\) | 1.28606 | − | 1.25138i | 0.0504045 | − | 0.0490454i | ||||
\(652\) | 7.61525i | 0.298236i | ||||||||
\(653\) | 12.0041 | − | 20.7918i | 0.469758 | − | 0.813645i | −0.529644 | − | 0.848220i | \(-0.677674\pi\) |
0.999402 | + | 0.0345747i | \(0.0110077\pi\) | |||||||
\(654\) | 0.989968 | − | 0.209336i | 0.0387108 | − | 0.00818569i | ||||
\(655\) | −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 | \(0.272142\pi\) | ||||
−0.656248 | + | 0.754545i | \(0.727858\pi\) | |||||||
\(660\) | 22.3193 | − | 10.9735i | 0.868776 | − | 0.427142i | ||||
\(661\) | 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 | ||||
\(663\) | 11.8156 | − | 10.6163i | 0.458878 | − | 0.412302i | ||||
\(664\) | 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 | ||||
\(669\) | 1.06321 | − | 0.224823i | 0.0411060 | − | 0.00869218i | ||||
\(670\) | −8.78934 | − | 9.02512i | −0.339562 | − | 0.348671i | ||||
\(671\) | −28.3389 | −1.09401 | ||||||||
\(672\) | −18.2300 | − | 18.7352i | −0.703238 | − | 0.722726i | ||||
\(673\) | − | 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 | ||||
\(675\) | 14.6418 | + | 21.4620i | 0.563564 | + | 0.826072i | ||||
\(676\) | 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 | ||||
\(681\) | 6.99514 | − | 6.28515i | 0.268055 | − | 0.240847i | ||||
\(682\) | −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 | \(0.696564\pi\) | |||||||
\(684\) | −8.61162 | − | 19.4520i | −0.329273 | − | 0.743767i | ||||
\(685\) | 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 | ||||
\(690\) | −1.60671 | − | 0.107240i | −0.0611665 | − | 0.00408255i | ||||
\(691\) | 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 | ||||||||
\(693\) | −17.9183 | + | 26.7223i | −0.680659 | + | 1.01510i | ||||
\(694\) | 1.79689 | 0.0682088 | ||||||||
\(695\) | −0.356892 | − | 0.366466i | −0.0135377 | − | 0.0139008i | ||||
\(696\) | 0.967905 | + | 4.57730i | 0.0366883 | + | 0.173502i | ||||
\(697\) | −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 | \(0.119005\pi\) | ||||
−0.930922 | + | 0.365217i | \(0.880995\pi\) | |||||||
\(702\) | −1.43132 | − | 14.0443i | −0.0540217 | − | 0.530067i | ||||
\(703\) | 9.54188 | + | 16.5270i | 0.359879 | + | 0.623329i | ||||
\(704\) | −1.12958 | + | 0.652166i | −0.0425728 | + | 0.0245794i | ||||
\(705\) | 27.1147 | − | 13.3312i | 1.02120 | − | 0.502082i | ||||
\(706\) | 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 | ||||
\(711\) | −1.20034 | + | 11.1939i | −0.0450161 | + | 0.419802i | ||||
\(712\) | 1.03395 | − | 1.79086i | 0.0387490 | − | 0.0671152i | ||||
\(713\) | − | 0.252487i | − | 0.00945573i | ||||||
\(714\) | 1.57956 | + | 6.23457i | 0.0591134 | + | 0.233323i | ||||
\(715\) | 10.3716 | − | 36.7545i | 0.387875 | − | 1.37454i | ||||
\(716\) | −14.3297 | − | 8.27324i | −0.535525 | − | 0.309185i | ||||
\(717\) | 0.974132 | + | 4.60675i | 0.0363796 | + | 0.172042i | ||||
\(718\) | 9.49685 | − | 5.48301i | 0.354419 | − | 0.204624i | ||||
\(719\) | 13.7118 | − | 23.7495i | 0.511363 | − | 0.885707i | −0.488550 | − | 0.872536i | \(-0.662474\pi\) |
0.999913 | − | 0.0131713i | \(-0.00419267\pi\) | |||||||
\(720\) | 6.94977 | + | 8.85663i | 0.259003 | + | 0.330067i | ||||
\(721\) | −12.0795 | + | 22.9858i | −0.449862 | + | 0.856036i | ||||
\(722\) | 0.667157 | 0.0248290 | ||||||||
\(723\) | 1.97055 | − | 1.77055i | 0.0732857 | − | 0.0658473i | ||||
\(724\) | 16.4110 | − | 9.47490i | 0.609910 | − | 0.352132i | ||||
\(725\) | −5.84173 | − | 0.154658i | −0.216956 | − | 0.00574387i | ||||
\(726\) | 4.05382 | + | 4.51176i | 0.150451 | + | 0.167447i | ||||
\(727\) | 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 | ||||
\(732\) | −3.96875 | − | 18.7686i | −0.146689 | − | 0.693706i | ||||
\(733\) | −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 | ||||||||
\(735\) | −13.2527 | + | 23.6509i | −0.488834 | + | 0.872377i | ||||
\(736\) | −3.67822 | −0.135581 | ||||||||
\(737\) | −17.7085 | + | 30.6721i | −0.652302 | + | 1.12982i | ||||
\(738\) | −0.470187 | + | 4.38478i | −0.0173078 | + | 0.161406i | ||||
\(739\) | 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 | \(-0.756740\pi\) | ||||
−0.721920 | + | 0.691976i | \(0.756740\pi\) | |||||||
\(744\) | 1.16595 | − | 1.04761i | 0.0427458 | − | 0.0384072i | ||||
\(745\) | 21.5837 | − | 5.47824i | 0.790765 | − | 0.200707i | ||||
\(746\) | −16.1457 | + | 9.32174i | −0.591137 | + | 0.341293i | ||||
\(747\) | 6.40571 | + | 14.4693i | 0.234373 | + | 0.529404i | ||||
\(748\) | −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 | ||||
\(753\) | 14.9299 | − | 3.15704i | 0.544076 | − | 0.115049i | ||||
\(754\) | 2.74989 | + | 1.58765i | 0.100145 | + | 0.0578187i | ||||
\(755\) | 10.9204 | + | 3.08156i | 0.397433 | + | 0.112150i | ||||
\(756\) | −20.2073 | − | 8.12473i | −0.734933 | − | 0.295494i | ||||
\(757\) | − | 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 | ||||
\(759\) | 0.936579 | + | 4.42916i | 0.0339957 | + | 0.160768i | ||||
\(760\) | −22.4204 | + | 5.69061i | −0.813274 | + | 0.206420i | ||||
\(761\) | −6.58977 | + | 11.4138i | −0.238879 | + | 0.413750i | −0.960393 | − | 0.278649i | \(-0.910113\pi\) |
0.721514 | + | 0.692400i | \(0.243447\pi\) | |||||||
\(762\) | 16.8031 | + | 5.47920i | 0.608712 | + | 0.198491i | ||||
\(763\) | −1.28007 | − | 2.02665i | −0.0463417 | − | 0.0733698i | ||||
\(764\) | − | 22.4131i | − | 0.810877i | ||||||
\(765\) | −2.06265 | − | 14.4546i | −0.0745753 | − | 0.522607i | ||||
\(766\) | −2.12110 | + | 1.22462i | −0.0766384 | + | 0.0442472i | ||||
\(767\) | −23.8582 | − | 41.3236i | −0.861469 | − | 1.49211i | ||||
\(768\) | −9.10604 | − | 10.1347i | −0.328586 | − | 0.365704i | ||||
\(769\) | 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 | −0.189219 | − | 0.981935i | \(-0.560596\pi\) |
0.755771 | + | 0.654836i | \(0.227262\pi\) | |||||||
\(774\) | 12.5870 | + | 1.34973i | 0.452432 | + | 0.0485150i | ||||
\(775\) | 0.933711 | + | 1.72087i | 0.0335399 | + | 0.0618154i | ||||
\(776\) | 9.01267 | 0.323536 | ||||||||
\(777\) | 18.8015 | + | 5.31426i | 0.674500 | + | 0.190648i | ||||
\(778\) | 5.87388i | 0.210589i | ||||||||
\(779\) | 8.83694 | + | 5.10201i | 0.316616 | + | 0.182798i | ||||
\(780\) | 25.7946 | + | 1.72166i | 0.923596 | + | 0.0616453i | ||||
\(781\) | 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 | ||||
\(786\) | 12.3582 | + | 13.7543i | 0.440803 | + | 0.490598i | ||||
\(787\) | 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 | ||||
\(789\) | 10.1398 | + | 11.2852i | 0.360985 | + | 0.401763i | ||||
\(790\) | 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 | ||||
\(795\) | 27.8293 | + | 1.85746i | 0.987004 | + | 0.0658774i | ||||
\(796\) | 23.2580 | + | 13.4280i | 0.824359 | + | 0.475944i | ||||
\(797\) | − | 51.4416i | − | 1.82216i | −0.412235 | − | 0.911078i | \(-0.635252\pi\) | ||
0.412235 | − | 0.911078i | \(-0.364748\pi\) | |||||||
\(798\) | 9.47915 | − | 9.22354i | 0.335558 | − | 0.326510i | ||||
\(799\) | −16.9805 | −0.600725 | ||||||||
\(800\) | 25.0695 | − | 13.6023i | 0.886340 | − | 0.480912i | ||||
\(801\) | 0.286199 | − | 2.66897i | 0.0101123 | − | 0.0943036i | ||||
\(802\) | 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 | ||||||
\(807\) | 19.9674 | + | 22.2230i | 0.702886 | + | 0.782287i | ||||
\(808\) | 7.60797 | + | 13.1774i | 0.267647 | + | 0.463579i | ||||
\(809\) | 2.44518 | − | 1.41172i | 0.0859679 | − | 0.0496336i | −0.456400 | − | 0.889775i | \(-0.650861\pi\) |
0.542368 | + | 0.840141i | \(0.317528\pi\) | |||||||
\(810\) | −11.4576 | − | 6.09195i | −0.402579 | − | 0.214049i | ||||
\(811\) | − | 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 | ||||
\(816\) | −1.30891 | − | 6.18996i | −0.0458211 | − | 0.216692i | ||||
\(817\) | 14.6459 | − | 25.3675i | 0.512396 | − | 0.887496i | ||||
\(818\) | 15.9051i | 0.556108i | ||||||||
\(819\) | −30.0179 | + | 14.7425i | −1.04891 | + | 0.515145i | ||||
\(820\) | −7.77222 | − | 2.19320i | −0.271418 | − | 0.0765900i | ||||
\(821\) | −43.3765 | − | 25.0434i | −1.51385 | − | 0.874022i | −0.999868 | − | 0.0162217i | \(-0.994836\pi\) |
−0.513983 | − | 0.857801i | \(-0.671830\pi\) | |||||||
\(822\) | −21.7023 | + | 4.58911i | −0.756954 | + | 0.160063i | ||||
\(823\) | −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 | ||||
\(825\) | −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 | \(0.460432\pi\) | |||||||
\(828\) | −2.80222 | + | 1.24057i | −0.0973840 | + | 0.0431129i | ||||
\(829\) | 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 | ||||
\(831\) | −17.0211 | + | 15.2935i | −0.590456 | + | 0.530525i | ||||
\(832\) | −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 | ||||
\(837\) | 0.833433 | − | 1.85614i | 0.0288077 | − | 0.0641575i | ||||
\(838\) | −12.7225 | + | 22.0360i | −0.439492 | + | 0.761222i | ||||
\(839\) | 29.5215 | 1.01920 | 0.509598 | − | 0.860412i | \(-0.329794\pi\) | ||||
0.509598 | + | 0.860412i | \(0.329794\pi\) | |||||||
\(840\) | −12.3884 | + | 20.1833i | −0.427439 | + | 0.696391i | ||||
\(841\) | 27.6340 | 0.952897 | ||||||||
\(842\) | −9.97394 | + | 17.2754i | −0.343725 | + | 0.595348i | ||||
\(843\) | −11.7785 | − | 55.7014i | −0.405672 | − | 1.91846i | ||||
\(844\) | −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 | ||||||||
\(849\) | 18.3036 | + | 20.3713i | 0.628178 | + | 0.699140i | ||||
\(850\) | −7.01494 | − | 0.185719i | −0.240610 | − | 0.00637010i | ||||
\(851\) | 2.38085 | − | 1.37459i | 0.0816146 | − | 0.0471202i | ||||
\(852\) | −16.6097 | + | 14.9238i | −0.569038 | + | 0.511282i | ||||
\(853\) | 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 | ||||
\(855\) | −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 | \(0.254620\pi\) | |||||||
\(858\) | 3.94617 | + | 18.6618i | 0.134720 | + | 0.637103i | ||||
\(859\) | 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 | ||||
\(861\) | 10.1270 | − | 2.56572i | 0.345127 | − | 0.0874395i | ||||
\(862\) | − | 19.8231i | − | 0.675176i | ||||||
\(863\) | 8.11130 | − | 14.0492i | 0.276112 | − | 0.478240i | −0.694303 | − | 0.719683i | \(-0.744287\pi\) |
0.970415 | + | 0.241443i | \(0.0776206\pi\) | |||||||
\(864\) | −27.0401 | − | 12.1414i | −0.919923 | − | 0.413059i | ||||
\(865\) | 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 | ||||||
\(870\) | 2.61930 | − | 1.28780i | 0.0888025 | − | 0.0436606i | ||||
\(871\) | −31.8819 | + | 18.4070i | −1.08028 | + | 0.623698i | ||||
\(872\) | −1.04695 | − | 1.81336i | −0.0354541 | − | 0.0614083i | ||||
\(873\) | 10.6976 | − | 4.73594i | 0.362059 | − | 0.160287i | ||||
\(874\) | − | 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 | ||||
\(879\) | −7.44602 | − | 35.2129i | −0.251148 | − | 1.18770i | ||||
\(880\) | −10.6127 | − | 10.8974i | −0.357754 | − | 0.367351i | ||||
\(881\) | 0.841670 | 0.0283566 | 0.0141783 | − | 0.999899i | \(-0.495487\pi\) | ||||
0.0141783 | + | 0.999899i | \(0.495487\pi\) | |||||||
\(882\) | 0.370050 | − | 13.5359i | 0.0124602 | − | 0.455776i | ||||
\(883\) | 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 | ||||
\(885\) | −43.7639 | − | 2.92102i | −1.47111 | − | 0.0981889i | ||||
\(886\) | −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 | ||||
\(891\) | −7.73501 | + | 35.6521i | −0.259133 | + | 1.19439i | ||||
\(892\) | −0.496986 | − | 0.860804i | −0.0166403 | − | 0.0288219i | ||||
\(893\) | 17.4596 | + | 30.2409i | 0.584262 | + | 1.01197i | ||||
\(894\) | −8.27316 | + | 7.43344i | −0.276696 | + | 0.248612i | ||||
\(895\) | −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 | ||||
\(900\) | 14.5113 | − | 18.8181i | 0.483710 | − | 0.627270i | ||||
\(901\) | −13.5747 | − | 7.83734i | −0.452238 | − | 0.261100i | ||||
\(902\) | − | 5.95854i | − | 0.198398i | ||||||
\(903\) | −7.36521 | − | 29.0707i | −0.245099 | − | 0.967414i | ||||
\(904\) | −20.4062 | −0.678701 | ||||||||
\(905\) | −18.6609 | − | 19.1615i | −0.620310 | − | 0.636950i | ||||
\(906\) | −5.54473 | + | 1.17247i | −0.184211 | + | 0.0389528i | ||||
\(907\) | −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 | \(0.0282893\pi\) | ||||
−0.996053 | + | 0.0887565i | \(0.971711\pi\) | |||||||
\(912\) | −9.67799 | + | 8.69569i | −0.320470 | + | 0.287943i | ||||
\(913\) | −10.6903 | − | 18.5162i | −0.353798 | − | 0.612797i | ||||
\(914\) | −4.91690 | + | 2.83877i | −0.162637 | + | 0.0938983i | ||||
\(915\) | −24.2988 | + | 11.9467i | −0.803292 | + | 0.394946i | ||||
\(916\) | − | 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 | ||||
\(921\) | 22.0054 | − | 4.65320i | 0.725102 | − | 0.153328i | ||||
\(922\) | 10.3075 | − | 17.8532i | 0.339461 | − | 0.587963i | ||||
\(923\) | 34.2872i | 1.12858i | ||||||||
\(924\) | 28.3183 | + | 8.00419i | 0.931604 | + | 0.263319i | ||||
\(925\) | −11.1438 | + | 18.1732i | −0.366405 | + | 0.597532i | ||||
\(926\) | −3.87818 | − | 2.23907i | −0.127445 | − | 0.0735804i | ||||
\(927\) | −3.13925 | + | 29.2754i | −0.103107 | + | 0.961532i | ||||
\(928\) | 5.77382 | − | 3.33351i | 0.189535 | − | 0.109428i | ||||
\(929\) | −3.39903 | + | 5.88728i | −0.111518 | + | 0.193156i | −0.916383 | − | 0.400303i | \(-0.868905\pi\) |
0.804864 | + | 0.593459i | \(0.202238\pi\) | |||||||
\(930\) | −0.812427 | − | 0.544253i | −0.0266405 | − | 0.0178468i | ||||
\(931\) | −28.2927 | − | 13.4619i | −0.927256 | − | 0.441195i | ||||
\(932\) | −13.3558 | −0.437483 | ||||||||
\(933\) | 0.529783 | + | 0.589629i | 0.0173443 | + | 0.0193036i | ||||
\(934\) | 13.6662 | − | 7.89021i | 0.447173 | − | 0.258176i | ||||
\(935\) | 4.85346 | + | 19.1221i | 0.158725 | + | 0.625360i | ||||
\(936\) | −26.7124 | + | 11.8259i | −0.873123 | + | 0.386540i | ||||
\(937\) | −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 | 0.930402 | − | 0.366540i | \(-0.119458\pi\) |
−0.782634 | + | 0.622482i | \(0.786125\pi\) | |||||||
\(942\) | −18.4155 | + | 3.89409i | −0.600008 | + | 0.126876i | ||||
\(943\) | 0.734986 | − | 1.27303i | 0.0239344 | − | 0.0414557i | ||||
\(944\) | −19.0057 | −0.618584 | ||||||||
\(945\) | −4.09854 | + | 30.4664i | −0.133325 | + | 0.991072i | ||||
\(946\) | −17.1047 | −0.556122 | ||||||||
\(947\) | −17.7437 | + | 30.7330i | −0.576593 | + | 0.998689i | 0.419273 | + | 0.907860i | \(0.362285\pi\) |
−0.995867 | + | 0.0908285i | \(0.971048\pi\) | |||||||
\(948\) | 10.0744 | − | 2.13031i | 0.327202 | − | 0.0691893i | ||||
\(949\) | −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 | \(-0.443652\pi\) | ||||
0.176099 | + | 0.984373i | \(0.443652\pi\) | |||||||
\(954\) | −12.7382 | + | 5.63933i | −0.412414 | + | 0.182580i | ||||
\(955\) | −30.6629 | + | 7.78267i | −0.992227 | + | 0.251841i | ||||
\(956\) | 3.72976 | − | 2.15338i | 0.120629 | − | 0.0696452i | ||||
\(957\) | −5.48426 | − | 6.10378i | −0.177281 | − | 0.197307i | ||||
\(958\) | −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 | ||||
\(963\) | 6.00683 | − | 56.0173i | 0.193567 | − | 1.80513i | ||||
\(964\) | −2.09841 | − | 1.21152i | −0.0675853 | − | 0.0390204i | ||||
\(965\) | 3.75981 | − | 13.3239i | 0.121032 | − | 0.428912i | ||||
\(966\) | −1.32873 | − | 1.36555i | −0.0427511 | − | 0.0439358i | ||||
\(967\) | 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 | ||||
\(969\) | 16.5093 | − | 3.49102i | 0.530357 | − | 0.112148i | ||||
\(970\) | −1.38325 | − | 5.44987i | −0.0444136 | − | 0.174985i | ||||
\(971\) | 4.43174 | − | 7.67600i | 0.142221 | − | 0.246335i | −0.786112 | − | 0.618085i | \(-0.787909\pi\) |
0.928333 | + | 0.371750i | \(0.121242\pi\) | |||||||
\(972\) | −24.6953 | − | 0.129881i | −0.792102 | − | 0.00416593i | ||||
\(973\) | −0.0240502 | − | 0.604779i | −0.000771013 | − | 0.0193883i | ||||
\(974\) | 6.29102i | 0.201577i | ||||||||
\(975\) | −6.60150 | − | 35.8869i | −0.211417 | − | 1.14930i | ||||
\(976\) | −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 | \(0.837056\pi\) | |||||||
\(978\) | −3.99339 | + | 3.58806i | −0.127694 | + | 0.114734i | ||||
\(979\) | 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 | −0.447569 | − | 0.894249i | \(-0.647710\pi\) |
0.550658 | + | 0.834731i | \(0.314377\pi\) | |||||||
\(984\) | 8.92825 | − | 1.88794i | 0.284622 | − | 0.0601855i | ||||
\(985\) | 20.9453 | − | 20.3981i | 0.667373 | − | 0.649939i | ||||
\(986\) | −1.64032 | −0.0522385 | ||||||||
\(987\) | 34.4027 | + | 9.72394i | 1.09505 | + | 0.309516i | ||||
\(988\) | 29.8772i | 0.950520i | ||||||||
\(989\) | −3.65439 | − | 2.10987i | −0.116203 | − | 0.0670898i | ||||
\(990\) | 16.2705 | + | 6.53372i | 0.517111 | + | 0.207655i | ||||
\(991\) | 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 | ||||
\(996\) | 10.7660 | − | 9.67323i | 0.341132 | − | 0.306508i | ||||
\(997\) | 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 | ||||
\(999\) | 22.0400 | − | 2.24620i | 0.697314 | − | 0.0710666i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))