Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [369,2,Mod(46,369)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(369, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("369.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 369 = 3^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 369.u (of order \(20\), degree \(8\), 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: | \(2.94647983459\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 41) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 289.1 | ||
Character | \(\chi\) | \(=\) | 369.289 |
Dual form | 369.2.u.a.226.1 |
$q$-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 \(\left(\mathbb{Z}/369\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(334\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.698642 | + | 0.227002i | −0.494014 | + | 0.160515i | −0.545420 | − | 0.838163i | \(-0.683630\pi\) |
0.0514057 | + | 0.998678i | \(0.483630\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.18146 | + | 0.858384i | −0.590732 | + | 0.429192i | ||||
\(5\) | 0.422124 | + | 0.581004i | 0.188780 | + | 0.259833i | 0.892907 | − | 0.450240i | \(-0.148662\pi\) |
−0.704128 | + | 0.710073i | \(0.748662\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.42228 | − | 2.79137i | −0.537570 | − | 1.05504i | −0.986848 | − | 0.161648i | \(-0.948319\pi\) |
0.449279 | − | 0.893392i | \(-0.351681\pi\) | |||||||
\(8\) | 1.49413 | − | 2.05650i | 0.528256 | − | 0.727082i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.426803 | − | 0.310091i | −0.134967 | − | 0.0980592i | ||||
\(11\) | −3.06970 | + | 0.486193i | −0.925551 | + | 0.146593i | −0.600976 | − | 0.799267i | \(-0.705221\pi\) |
−0.324575 | + | 0.945860i | \(0.605221\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.79162 | − | 0.912875i | −0.496905 | − | 0.253186i | 0.187531 | − | 0.982259i | \(-0.439952\pi\) |
−0.684436 | + | 0.729073i | \(0.739952\pi\) | |||||||
\(14\) | 1.62731 | + | 1.62731i | 0.434917 | + | 0.434917i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.325524 | − | 1.00186i | 0.0813810 | − | 0.250465i | ||||
\(17\) | −0.304435 | − | 1.92213i | −0.0738365 | − | 0.466185i | −0.996708 | − | 0.0810768i | \(-0.974164\pi\) |
0.922871 | − | 0.385108i | \(-0.125836\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.91204 | − | 1.99329i | 0.897485 | − | 0.457291i | 0.0565325 | − | 0.998401i | \(-0.481996\pi\) |
0.840952 | + | 0.541109i | \(0.181996\pi\) | |||||||
\(20\) | −0.997449 | − | 0.324091i | −0.223036 | − | 0.0724689i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.03426 | − | 1.03651i | 0.433705 | − | 0.220984i | ||||
\(23\) | −0.275748 | − | 0.848664i | −0.0574973 | − | 0.176959i | 0.918183 | − | 0.396156i | \(-0.129656\pi\) |
−0.975681 | + | 0.219198i | \(0.929656\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.38571 | − | 4.26477i | 0.277142 | − | 0.852954i | ||||
\(26\) | 1.45892 | + | 0.231071i | 0.286119 | + | 0.0453167i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.07644 | + | 2.07705i | 0.770374 | + | 0.392525i | ||||
\(29\) | 1.43151 | − | 9.03822i | 0.265825 | − | 1.67836i | −0.387961 | − | 0.921676i | \(-0.626820\pi\) |
0.653786 | − | 0.756680i | \(-0.273180\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.64731 | − | 4.10301i | −1.01429 | − | 0.736922i | −0.0491827 | − | 0.998790i | \(-0.515662\pi\) |
−0.965104 | + | 0.261868i | \(0.915662\pi\) | |||||||
\(32\) | 5.85778i | 1.03552i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.649020 | + | 1.27377i | 0.111306 | + | 0.218450i | ||||
\(35\) | 1.02142 | − | 2.00465i | 0.172652 | − | 0.338848i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.49299 | + | 2.53781i | −0.574244 | + | 0.417213i | −0.836644 | − | 0.547746i | \(-0.815486\pi\) |
0.262400 | + | 0.964959i | \(0.415486\pi\) | |||||||
\(38\) | −2.28064 | + | 2.28064i | −0.369968 | + | 0.369968i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.82554 | 0.288644 | ||||||||
\(41\) | 2.53101 | − | 5.88167i | 0.395277 | − | 0.918562i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.3243 | + | 3.35457i | −1.57444 | + | 0.511568i | −0.960618 | − | 0.277874i | \(-0.910370\pi\) |
−0.613826 | + | 0.789441i | \(0.710370\pi\) | |||||||
\(44\) | 3.20940 | − | 3.20940i | 0.483836 | − | 0.483836i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.385298 | + | 0.530317i | 0.0568090 | + | 0.0781909i | ||||
\(47\) | −5.24325 | + | 10.2905i | −0.764807 | + | 1.50102i | 0.0978352 | + | 0.995203i | \(0.468808\pi\) |
−0.862642 | + | 0.505815i | \(0.831192\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.65440 | + | 2.27709i | −0.236343 | + | 0.325298i | ||||
\(50\) | 3.29411i | 0.465857i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.90033 | − | 0.459367i | 0.402203 | − | 0.0637027i | ||||
\(53\) | −0.465724 | + | 2.94046i | −0.0639721 | + | 0.403904i | 0.934835 | + | 0.355081i | \(0.115547\pi\) |
−0.998807 | + | 0.0488225i | \(0.984453\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.57828 | − | 1.57828i | −0.212815 | − | 0.212815i | ||||
\(56\) | −7.86552 | − | 1.24578i | −1.05107 | − | 0.166474i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.05158 | + | 6.63944i | 0.138080 | + | 0.871801i | ||||
\(59\) | −1.37512 | − | 4.23218i | −0.179025 | − | 0.550982i | 0.820769 | − | 0.571260i | \(-0.193545\pi\) |
−0.999794 | + | 0.0202774i | \(0.993545\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.3577 | + | 3.69033i | 1.45420 | + | 0.472499i | 0.926294 | − | 0.376803i | \(-0.122977\pi\) |
0.527908 | + | 0.849301i | \(0.322977\pi\) | |||||||
\(62\) | 4.87684 | + | 1.58458i | 0.619359 | + | 0.201242i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.678682 | − | 2.08877i | −0.0848353 | − | 0.261096i | ||||
\(65\) | −0.225901 | − | 1.42628i | −0.0280196 | − | 0.176909i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.00079 | + | 1.26720i | 0.977452 | + | 0.154813i | 0.624667 | − | 0.780891i | \(-0.285235\pi\) |
0.352785 | + | 0.935704i | \(0.385235\pi\) | |||||||
\(68\) | 2.00960 | + | 2.00960i | 0.243700 | + | 0.243700i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.258547 | + | 1.63240i | −0.0309023 | + | 0.195109i | ||||
\(71\) | 0.988102 | − | 0.156500i | 0.117266 | − | 0.0185731i | −0.0975255 | − | 0.995233i | \(-0.531093\pi\) |
0.214792 | + | 0.976660i | \(0.431093\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 6.49752i | − | 0.760477i | −0.924889 | − | 0.380238i | \(-0.875842\pi\) | ||
0.924889 | − | 0.380238i | \(-0.124158\pi\) | |||||||
\(74\) | 1.86426 | − | 2.56593i | 0.216716 | − | 0.298284i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.91093 | + | 5.71303i | −0.333907 | + | 0.655330i | ||||
\(77\) | 5.72311 | + | 7.87719i | 0.652209 | + | 0.897689i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.43337 | + | 4.43337i | −0.498793 | + | 0.498793i | −0.911062 | − | 0.412269i | \(-0.864736\pi\) |
0.412269 | + | 0.911062i | \(0.364736\pi\) | |||||||
\(80\) | 0.719497 | − | 0.233779i | 0.0804422 | − | 0.0261372i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.433113 | + | 4.68372i | −0.0478294 | + | 0.517231i | ||||
\(83\) | −7.83744 | −0.860271 | −0.430136 | − | 0.902764i | \(-0.641534\pi\) | ||||
−0.430136 | + | 0.902764i | \(0.641534\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.988256 | − | 0.988256i | 0.107191 | − | 0.107191i | ||||
\(86\) | 6.45150 | − | 4.68729i | 0.695683 | − | 0.505444i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.58669 | + | 7.03928i | −0.382343 | + | 0.750390i | ||||
\(89\) | 6.40964 | + | 12.5796i | 0.679420 | + | 1.33344i | 0.930793 | + | 0.365547i | \(0.119118\pi\) |
−0.251373 | + | 0.967890i | \(0.580882\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.29943i | 0.660360i | ||||||||
\(92\) | 1.05426 | + | 0.765968i | 0.109915 | + | 0.0798577i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.32719 | − | 8.37958i | 0.136890 | − | 0.864287i | ||||
\(95\) | 2.80948 | + | 1.43150i | 0.288246 | + | 0.146869i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.34053 | + | 1.00424i | 0.643783 | + | 0.101965i | 0.469785 | − | 0.882781i | \(-0.344331\pi\) |
0.173998 | + | 0.984746i | \(0.444331\pi\) | |||||||
\(98\) | 0.638929 | − | 1.96642i | 0.0645415 | − | 0.198638i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.02365 | + | 6.22814i | 0.202365 | + | 0.622814i | ||||
\(101\) | −10.7210 | + | 5.46262i | −1.06678 | + | 0.543551i | −0.897045 | − | 0.441938i | \(-0.854291\pi\) |
−0.169734 | + | 0.985490i | \(0.554291\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.6231 | − | 4.75134i | −1.44086 | − | 0.468163i | −0.518694 | − | 0.854960i | \(-0.673581\pi\) |
−0.922165 | + | 0.386797i | \(0.873581\pi\) | |||||||
\(104\) | −4.55424 | + | 2.32050i | −0.446580 | + | 0.227544i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.342119 | − | 2.16005i | −0.0332295 | − | 0.209803i | ||||
\(107\) | 0.344730 | − | 1.06097i | 0.0333263 | − | 0.102568i | −0.933010 | − | 0.359851i | \(-0.882827\pi\) |
0.966336 | + | 0.257284i | \(0.0828274\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.18654 | + | 4.18654i | 0.400998 | + | 0.400998i | 0.878585 | − | 0.477587i | \(-0.158488\pi\) |
−0.477587 | + | 0.878585i | \(0.658488\pi\) | |||||||
\(110\) | 1.46092 | + | 0.744378i | 0.139294 | + | 0.0709736i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.25955 | + | 0.516262i | −0.307999 | + | 0.0487822i | ||||
\(113\) | −12.4975 | − | 9.07995i | −1.17566 | − | 0.854170i | −0.183988 | − | 0.982928i | \(-0.558901\pi\) |
−0.991676 | + | 0.128759i | \(0.958901\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.376677 | − | 0.518452i | 0.0351254 | − | 0.0483459i | ||||
\(116\) | 6.06698 | + | 11.9071i | 0.563305 | + | 1.10555i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.92143 | + | 2.64462i | 0.176882 | + | 0.243457i | ||||
\(119\) | −4.93239 | + | 3.58359i | −0.452152 | + | 0.328507i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.27492 | + | 0.414247i | −0.115902 | + | 0.0376588i | ||||
\(122\) | −8.77266 | −0.794240 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.1940 | 0.915452 | ||||||||
\(125\) | 6.47785 | − | 2.10478i | 0.579396 | − | 0.188257i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.50780 | − | 2.54857i | 0.311267 | − | 0.226149i | −0.421173 | − | 0.906980i | \(-0.638381\pi\) |
0.732440 | + | 0.680832i | \(0.238381\pi\) | |||||||
\(128\) | −5.93792 | − | 8.17285i | −0.524843 | − | 0.722384i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.481594 | + | 0.945182i | 0.0422386 | + | 0.0828979i | ||||
\(131\) | 9.74217 | − | 13.4090i | 0.851178 | − | 1.17155i | −0.132424 | − | 0.991193i | \(-0.542276\pi\) |
0.983602 | − | 0.180352i | \(-0.0577238\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.1280 | − | 8.08497i | −0.964921 | − | 0.701056i | ||||
\(134\) | −5.87734 | + | 0.930880i | −0.507725 | + | 0.0804157i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.40772 | − | 2.24585i | −0.377959 | − | 0.192580i | ||||
\(137\) | 0.166857 | + | 0.166857i | 0.0142555 | + | 0.0142555i | 0.714199 | − | 0.699943i | \(-0.246791\pi\) |
−0.699943 | + | 0.714199i | \(0.746791\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.727856 | + | 2.24011i | −0.0617360 | + | 0.190004i | −0.977168 | − | 0.212470i | \(-0.931849\pi\) |
0.915432 | + | 0.402473i | \(0.131849\pi\) | |||||||
\(140\) | 0.513989 | + | 3.24520i | 0.0434400 | + | 0.274269i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.654803 | + | 0.333639i | −0.0549499 | + | 0.0279984i | ||||
\(143\) | 5.94357 | + | 1.93118i | 0.497026 | + | 0.161494i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.85552 | − | 2.98354i | 0.486275 | − | 0.247769i | ||||
\(146\) | 1.47495 | + | 4.53944i | 0.122068 | + | 0.375686i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.94843 | − | 5.99665i | 0.160160 | − | 0.492922i | ||||
\(149\) | 8.28803 | + | 1.31270i | 0.678982 | + | 0.107540i | 0.486394 | − | 0.873739i | \(-0.338312\pi\) |
0.192588 | + | 0.981280i | \(0.438312\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.22750 | + | 1.64449i | 0.262650 | + | 0.133827i | 0.580357 | − | 0.814362i | \(-0.302913\pi\) |
−0.317707 | + | 0.948189i | \(0.602913\pi\) | |||||||
\(152\) | 1.74593 | − | 11.0233i | 0.141613 | − | 0.894112i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.78655 | − | 4.20417i | −0.466293 | − | 0.338782i | ||||
\(155\) | − | 5.01309i | − | 0.402661i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.25608 | + | 12.2783i | 0.499290 | + | 0.979911i | 0.993847 | + | 0.110766i | \(0.0353304\pi\) |
−0.494557 | + | 0.869145i | \(0.664670\pi\) | |||||||
\(158\) | 2.09095 | − | 4.10373i | 0.166347 | − | 0.326475i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.40339 | + | 2.47271i | −0.269062 | + | 0.195485i | ||||
\(161\) | −1.97675 | + | 1.97675i | −0.155790 | + | 0.155790i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.923374 | −0.0723243 | −0.0361621 | − | 0.999346i | \(-0.511513\pi\) | ||||
−0.0361621 | + | 0.999346i | \(0.511513\pi\) | |||||||
\(164\) | 2.05844 | + | 9.12155i | 0.160737 | + | 0.712273i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.47557 | − | 1.77912i | 0.424986 | − | 0.138086i | ||||
\(167\) | 12.0223 | − | 12.0223i | 0.930315 | − | 0.930315i | −0.0674099 | − | 0.997725i | \(-0.521474\pi\) |
0.997725 | + | 0.0674099i | \(0.0214735\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.26465 | − | 7.24617i | −0.404973 | − | 0.557398i | ||||
\(170\) | −0.466100 | + | 0.914774i | −0.0357483 | + | 0.0701599i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.31829 | − | 12.8255i | 0.710513 | − | 0.977938i | ||||
\(173\) | 12.1428i | 0.923198i | 0.887089 | + | 0.461599i | \(0.152724\pi\) | ||||
−0.887089 | + | 0.461599i | \(0.847276\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.8754 | + | 2.19765i | −1.04888 | + | 0.166127i | ||||
\(176\) | −0.512165 | + | 3.23368i | −0.0386059 | + | 0.243748i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.33365 | − | 7.33365i | −0.549680 | − | 0.549680i | ||||
\(179\) | 2.11231 | + | 0.334557i | 0.157881 | + | 0.0250060i | 0.234875 | − | 0.972026i | \(-0.424532\pi\) |
−0.0769933 | + | 0.997032i | \(0.524532\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.878821 | − | 5.54866i | −0.0653222 | − | 0.412428i | −0.998582 | − | 0.0532273i | \(-0.983049\pi\) |
0.933260 | − | 0.359201i | \(-0.116951\pi\) | |||||||
\(182\) | −1.42999 | − | 4.40105i | −0.105998 | − | 0.326227i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.15728 | − | 0.700942i | −0.159037 | − | 0.0516742i | ||||
\(185\) | −2.94895 | − | 0.958172i | −0.216811 | − | 0.0704462i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.86905 | + | 5.75236i | 0.136679 | + | 0.420654i | ||||
\(188\) | −2.63845 | − | 16.6585i | −0.192429 | − | 1.21495i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.28777 | − | 0.362347i | −0.165972 | − | 0.0262875i | ||||
\(191\) | −9.27794 | − | 9.27794i | −0.671328 | − | 0.671328i | 0.286694 | − | 0.958022i | \(-0.407444\pi\) |
−0.958022 | + | 0.286694i | \(0.907444\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.59319 | − | 16.3728i | 0.186662 | − | 1.17854i | −0.699317 | − | 0.714812i | \(-0.746512\pi\) |
0.885979 | − | 0.463726i | \(-0.153488\pi\) | |||||||
\(194\) | −4.65772 | + | 0.737711i | −0.334405 | + | 0.0529646i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | − | 4.11040i | − | 0.293600i | ||||||
\(197\) | 8.51171 | − | 11.7154i | 0.606434 | − | 0.834685i | −0.389844 | − | 0.920881i | \(-0.627471\pi\) |
0.996278 | + | 0.0861961i | \(0.0274711\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.18953 | − | 16.0729i | 0.580541 | − | 1.13938i | −0.394820 | − | 0.918759i | \(-0.629193\pi\) |
0.975361 | − | 0.220617i | \(-0.0708070\pi\) | |||||||
\(200\) | −6.70006 | − | 9.22184i | −0.473766 | − | 0.652083i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.25011 | − | 6.25011i | 0.439756 | − | 0.439756i | ||||
\(203\) | −27.2651 | + | 8.85895i | −1.91363 | + | 0.621777i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.48567 | − | 1.01227i | 0.313293 | − | 0.0707000i | ||||
\(206\) | 11.2949 | 0.786952 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.49779 | + | 1.49779i | −0.103853 | + | 0.103853i | ||||
\(209\) | −11.0397 | + | 8.02081i | −0.763632 | + | 0.554811i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.12962 | − | 12.0301i | 0.421980 | − | 0.828183i | −0.577946 | − | 0.816075i | \(-0.696146\pi\) |
0.999927 | − | 0.0121083i | \(-0.00385430\pi\) | |||||||
\(212\) | −1.97381 | − | 3.87382i | −0.135562 | − | 0.266055i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.819492i | 0.0560193i | ||||||||
\(215\) | −6.30717 | − | 4.58242i | −0.430145 | − | 0.312519i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.42100 | + | 21.5994i | −0.232233 | + | 1.46626i | ||||
\(218\) | −3.87525 | − | 1.97454i | −0.262465 | − | 0.133733i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.21944 | + | 0.509910i | 0.217055 | + | 0.0343781i | ||||
\(221\) | −1.20923 | + | 3.72163i | −0.0813418 | + | 0.250344i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.34538 | − | 7.21835i | −0.157059 | − | 0.483377i | 0.841305 | − | 0.540561i | \(-0.181788\pi\) |
−0.998364 | + | 0.0571840i | \(0.981788\pi\) | |||||||
\(224\) | 16.3512 | − | 8.33138i | 1.09251 | − | 0.556664i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.7924 | + | 3.50667i | 0.717902 | + | 0.233260i | ||||
\(227\) | 19.3474 | − | 9.85797i | 1.28413 | − | 0.654297i | 0.327293 | − | 0.944923i | \(-0.393864\pi\) |
0.956837 | + | 0.290626i | \(0.0938636\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.463354 | − | 2.92550i | −0.0306193 | − | 0.193323i | 0.967637 | − | 0.252345i | \(-0.0812017\pi\) |
−0.998257 | + | 0.0590222i | \(0.981202\pi\) | |||||||
\(230\) | −0.145473 | + | 0.447719i | −0.00959219 | + | 0.0295217i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.4482 | − | 16.4482i | −1.07988 | − | 1.07988i | ||||
\(233\) | 15.5044 | + | 7.89988i | 1.01573 | + | 0.517538i | 0.880886 | − | 0.473329i | \(-0.156948\pi\) |
0.134840 | + | 0.990867i | \(0.456948\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.19210 | + | 1.29750i | −0.534394 | + | 0.0846397i | ||||
\(236\) | 5.25748 | + | 3.81978i | 0.342233 | + | 0.248647i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.63249 | − | 3.62331i | 0.170639 | − | 0.234864i | ||||
\(239\) | 2.69685 | + | 5.29286i | 0.174444 | + | 0.342366i | 0.961630 | − | 0.274350i | \(-0.0884626\pi\) |
−0.787186 | + | 0.616716i | \(0.788463\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.16221 | + | 7.10518i | 0.332527 | + | 0.457685i | 0.942240 | − | 0.334938i | \(-0.108715\pi\) |
−0.609713 | + | 0.792622i | \(0.708715\pi\) | |||||||
\(242\) | 0.796678 | − | 0.578820i | 0.0512124 | − | 0.0372080i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.5864 | + | 5.38925i | −1.06184 | + | 0.345011i | ||||
\(245\) | −2.02136 | −0.129140 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.82851 | −0.561745 | ||||||||
\(248\) | −16.8757 | + | 5.48324i | −1.07161 | + | 0.348186i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.04790 | + | 2.94098i | −0.256012 | + | 0.186004i | ||||
\(251\) | 3.01355 | + | 4.14780i | 0.190214 | + | 0.261807i | 0.893463 | − | 0.449137i | \(-0.148268\pi\) |
−0.703250 | + | 0.710943i | \(0.748268\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.25908 | + | 2.47108i | 0.0791576 | + | 0.155355i | ||||
\(254\) | −1.87216 | + | 2.57681i | −0.117470 | + | 0.161684i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.55736 | + | 6.94383i | 0.597335 | + | 0.433989i | ||||
\(257\) | 1.08576 | − | 0.171967i | 0.0677277 | − | 0.0107270i | −0.122479 | − | 0.992471i | \(-0.539084\pi\) |
0.190206 | + | 0.981744i | \(0.439084\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.0520 | + | 6.14078i | 0.748872 | + | 0.381569i | ||||
\(260\) | 1.49119 | + | 1.49119i | 0.0924799 | + | 0.0924799i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.76242 | + | 11.5796i | −0.232443 | + | 0.715387i | ||||
\(263\) | 1.99659 | + | 12.6060i | 0.123115 | + | 0.777317i | 0.969562 | + | 0.244845i | \(0.0787369\pi\) |
−0.846447 | + | 0.532472i | \(0.821263\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.90502 | + | 0.970654i | −0.117024 | + | 0.0596268i | ||||
\(266\) | 9.60980 | + | 3.12241i | 0.589215 | + | 0.191448i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.5404 | + | 5.37059i | −0.643856 | + | 0.328061i | ||||
\(269\) | −0.170602 | − | 0.525059i | −0.0104018 | − | 0.0320134i | 0.945721 | − | 0.324980i | \(-0.105358\pi\) |
−0.956123 | + | 0.292967i | \(0.905358\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.852971 | + | 2.62518i | −0.0518143 | + | 0.159468i | −0.973615 | − | 0.228195i | \(-0.926718\pi\) |
0.921801 | + | 0.387663i | \(0.126718\pi\) | |||||||
\(272\) | −2.02481 | − | 0.320698i | −0.122772 | − | 0.0194452i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.154450 | − | 0.0786962i | −0.00933067 | − | 0.00475421i | ||||
\(275\) | −2.18021 | + | 13.7653i | −0.131472 | + | 0.830079i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.2011 | + | 12.4974i | 1.03352 | + | 0.750894i | 0.969010 | − | 0.247023i | \(-0.0794525\pi\) |
0.0645072 | + | 0.997917i | \(0.479452\pi\) | |||||||
\(278\) | − | 1.73026i | − | 0.103774i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.59643 | − | 5.09578i | −0.155166 | − | 0.304531i | ||||
\(281\) | 0.813754 | − | 1.59708i | 0.0485445 | − | 0.0952739i | −0.865460 | − | 0.500978i | \(-0.832974\pi\) |
0.914004 | + | 0.405704i | \(0.132974\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.00831 | + | 2.18566i | −0.178825 | + | 0.129924i | −0.673597 | − | 0.739099i | \(-0.735252\pi\) |
0.494772 | + | 0.869023i | \(0.335252\pi\) | |||||||
\(284\) | −1.03307 | + | 1.03307i | −0.0613014 | + | 0.0613014i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.59081 | −0.271460 | ||||||||
\(287\) | −20.0177 | + | 1.30037i | −1.18161 | + | 0.0767585i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.5661 | − | 4.08296i | 0.739180 | − | 0.240174i | ||||
\(290\) | −3.41364 | + | 3.41364i | −0.200456 | + | 0.200456i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.57736 | + | 7.67658i | 0.326390 | + | 0.449238i | ||||
\(293\) | 6.31176 | − | 12.3875i | 0.368737 | − | 0.723687i | −0.629856 | − | 0.776712i | \(-0.716886\pi\) |
0.998593 | + | 0.0530245i | \(0.0168861\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.87844 | − | 2.58545i | 0.109367 | − | 0.150531i | ||||
\(296\) | 10.9751i | 0.637917i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.08835 | + | 0.964300i | −0.352689 | + | 0.0558604i | ||||
\(299\) | −0.280690 | + | 1.77220i | −0.0162327 | + | 0.102489i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 24.0479 | + | 24.0479i | 1.38610 | + | 1.38610i | ||||
\(302\) | −2.62817 | − | 0.416261i | −0.151234 | − | 0.0239532i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.723529 | − | 4.56818i | −0.0414973 | − | 0.262003i | ||||
\(305\) | 2.65025 | + | 8.15664i | 0.151753 | + | 0.467048i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −20.7993 | − | 6.75809i | −1.18708 | − | 0.385705i | −0.352086 | − | 0.935968i | \(-0.614527\pi\) |
−0.834991 | + | 0.550263i | \(0.814527\pi\) | |||||||
\(308\) | −13.5233 | − | 4.39399i | −0.770562 | − | 0.250371i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.13798 | + | 3.50235i | 0.0646331 | + | 0.198920i | ||||
\(311\) | 2.49509 | + | 15.7534i | 0.141483 | + | 0.893291i | 0.951671 | + | 0.307120i | \(0.0993653\pi\) |
−0.810188 | + | 0.586171i | \(0.800635\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.811177 | − | 0.128478i | −0.0458504 | − | 0.00726199i | 0.133467 | − | 0.991053i | \(-0.457389\pi\) |
−0.179318 | + | 0.983791i | \(0.557389\pi\) | |||||||
\(314\) | −7.15796 | − | 7.15796i | −0.403947 | − | 0.403947i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.43233 | − | 9.04340i | 0.0805751 | − | 0.508731i | ||||
\(317\) | −27.9438 | + | 4.42587i | −1.56948 | + | 0.248582i | −0.879734 | − | 0.475467i | \(-0.842279\pi\) |
−0.689749 | + | 0.724048i | \(0.742279\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 28.4407i | 1.59237i | ||||||||
\(320\) | 0.927096 | − | 1.27604i | 0.0518262 | − | 0.0713327i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.932312 | − | 1.82977i | 0.0519557 | − | 0.101969i | ||||
\(323\) | −5.02232 | − | 6.91263i | −0.279449 | − | 0.384629i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.37586 | + | 6.37586i | −0.353669 | + | 0.353669i | ||||
\(326\) | 0.645108 | − | 0.209608i | 0.0357292 | − | 0.0116091i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.31398 | − | 13.9930i | −0.459063 | − | 0.772634i | ||||
\(329\) | 36.1819 | 1.99477 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.7469 | − | 21.7469i | 1.19532 | − | 1.19532i | 0.219762 | − | 0.975554i | \(-0.429472\pi\) |
0.975554 | − | 0.219762i | \(-0.0705281\pi\) | |||||||
\(332\) | 9.25966 | − | 6.72753i | 0.508190 | − | 0.369221i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.67020 | + | 11.1284i | −0.310260 | + | 0.608919i | ||||
\(335\) | 2.64108 | + | 5.18341i | 0.144297 | + | 0.283200i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.0552i | 1.41932i | 0.704546 | + | 0.709658i | \(0.251151\pi\) | ||||
−0.704546 | + | 0.709658i | \(0.748849\pi\) | |||||||
\(338\) | 5.32301 | + | 3.86739i | 0.289533 | + | 0.210358i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.319286 | + | 2.01589i | −0.0173157 | + | 0.109327i | ||||
\(341\) | 19.3304 | + | 9.84934i | 1.04680 | + | 0.533372i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.9506 | − | 2.05118i | −0.699268 | − | 0.110753i | ||||
\(344\) | −8.52723 | + | 26.2441i | −0.459758 | + | 1.41499i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.75644 | − | 8.48345i | −0.148187 | − | 0.456073i | ||||
\(347\) | 5.78097 | − | 2.94555i | 0.310339 | − | 0.158126i | −0.291884 | − | 0.956454i | \(-0.594282\pi\) |
0.602223 | + | 0.798328i | \(0.294282\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.18918 | + | 2.33591i | 0.384828 | + | 0.125038i | 0.495041 | − | 0.868870i | \(-0.335153\pi\) |
−0.110213 | + | 0.993908i | \(0.535153\pi\) | |||||||
\(350\) | 9.19508 | − | 4.68513i | 0.491498 | − | 0.250431i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.84801 | − | 17.9817i | −0.151800 | − | 0.958425i | ||||
\(353\) | 11.4959 | − | 35.3808i | 0.611866 | − | 1.88313i | 0.171899 | − | 0.985115i | \(-0.445010\pi\) |
0.439967 | − | 0.898014i | \(-0.354990\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.508029 | + | 0.508029i | 0.0269634 | + | 0.0269634i | ||||
\(356\) | −18.3709 | − | 9.36044i | −0.973655 | − | 0.496102i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.55169 | + | 0.245764i | −0.0820095 | + | 0.0129890i | ||||
\(359\) | −17.5992 | − | 12.7866i | −0.928849 | − | 0.674848i | 0.0168617 | − | 0.999858i | \(-0.494633\pi\) |
−0.945711 | + | 0.325009i | \(0.894633\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.162984 | − | 0.224329i | 0.00857813 | − | 0.0118068i | ||||
\(362\) | 1.87354 | + | 3.67703i | 0.0984711 | + | 0.193260i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.40733 | − | 7.44255i | −0.283421 | − | 0.390096i | ||||
\(365\) | 3.77508 | − | 2.74276i | 0.197597 | − | 0.143563i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.6389 | + | 5.40631i | −0.868544 | + | 0.282207i | −0.709193 | − | 0.705015i | \(-0.750940\pi\) |
−0.159352 | + | 0.987222i | \(0.550940\pi\) | |||||||
\(368\) | −0.940005 | −0.0490011 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.27777 | 0.118416 | ||||||||
\(371\) | 8.87032 | − | 2.88214i | 0.460524 | − | 0.149633i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.79680 | − | 4.21162i | 0.300147 | − | 0.218070i | −0.427510 | − | 0.904011i | \(-0.640609\pi\) |
0.727657 | + | 0.685941i | \(0.240609\pi\) | |||||||
\(374\) | −2.61160 | − | 3.59456i | −0.135043 | − | 0.185870i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 13.3282 | + | 26.1581i | 0.687349 | + | 1.34900i | ||||
\(377\) | −10.8155 | + | 14.8862i | −0.557026 | + | 0.766681i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.38423 | + | 4.63842i | 0.327936 | + | 0.238260i | 0.739554 | − | 0.673097i | \(-0.235036\pi\) |
−0.411618 | + | 0.911356i | \(0.635036\pi\) | |||||||
\(380\) | −4.54807 | + | 0.720344i | −0.233311 | + | 0.0369529i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.58807 | + | 4.37584i | 0.439404 | + | 0.223887i | ||||
\(383\) | 4.35320 | + | 4.35320i | 0.222438 | + | 0.222438i | 0.809524 | − | 0.587086i | \(-0.199725\pi\) |
−0.587086 | + | 0.809524i | \(0.699725\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.16082 | + | 6.65031i | −0.110125 | + | 0.338931i | ||||
\(386\) | 1.90495 | + | 12.0274i | 0.0969592 | + | 0.612177i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.35313 | + | 4.25613i | −0.424066 | + | 0.216072i | ||||
\(389\) | 21.1299 | + | 6.86553i | 1.07133 | + | 0.348096i | 0.791005 | − | 0.611809i | \(-0.209558\pi\) |
0.280324 | + | 0.959905i | \(0.409558\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.54729 | + | 0.788386i | −0.0782501 | + | 0.0398704i | ||||
\(392\) | 2.21093 | + | 6.80454i | 0.111669 | + | 0.343681i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.28722 | + | 10.1170i | −0.165608 | + | 0.509688i | ||||
\(395\) | −4.44724 | − | 0.704374i | −0.223765 | − | 0.0354409i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.81775 | + | 2.96429i | 0.291984 | + | 0.148773i | 0.593847 | − | 0.804578i | \(-0.297608\pi\) |
−0.301863 | + | 0.953351i | \(0.597608\pi\) | |||||||
\(398\) | −2.07297 | + | 13.0882i | −0.103909 | + | 0.656053i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.82162 | − | 2.77657i | −0.191081 | − | 0.138829i | ||||
\(401\) | − | 21.3099i | − | 1.06416i | −0.846693 | − | 0.532082i | \(-0.821410\pi\) | ||
0.846693 | − | 0.532082i | \(-0.178590\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.37228 | + | 12.5063i | 0.317426 | + | 0.622984i | ||||
\(404\) | 7.97745 | − | 15.6566i | 0.396893 | − | 0.778946i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.0375 | − | 12.3785i | 0.845557 | − | 0.614333i | ||||
\(407\) | 9.48858 | − | 9.48858i | 0.470331 | − | 0.470331i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.89625 | 0.192657 | 0.0963287 | − | 0.995350i | \(-0.469290\pi\) | ||||
0.0963287 | + | 0.995350i | \(0.469290\pi\) | |||||||
\(410\) | −2.90409 | + | 1.72547i | −0.143423 | + | 0.0852150i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.3552 | − | 6.93871i | 1.05209 | − | 0.341846i | ||||
\(413\) | −9.85779 | + | 9.85779i | −0.485070 | + | 0.485070i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.30838 | − | 4.55359i | −0.162402 | − | 0.223527i | ||||
\(416\) | 5.34742 | − | 10.4949i | 0.262179 | − | 0.514555i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.89205 | − | 8.10971i | 0.288190 | − | 0.396659i | ||||
\(419\) | 14.8236i | 0.724179i | 0.932143 | + | 0.362089i | \(0.117937\pi\) | ||||
−0.932143 | + | 0.362089i | \(0.882063\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.9908 | + | 1.74076i | −0.535657 | + | 0.0848397i | −0.418402 | − | 0.908262i | \(-0.637410\pi\) |
−0.117255 | + | 0.993102i | \(0.537410\pi\) | |||||||
\(422\) | −1.55156 | + | 9.79614i | −0.0755286 | + | 0.476869i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.35121 | + | 5.35121i | 0.259878 | + | 0.259878i | ||||
\(425\) | −8.61930 | − | 1.36516i | −0.418098 | − | 0.0662202i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.85265 | − | 36.9522i | −0.283230 | − | 1.78824i | ||||
\(428\) | 0.503433 | + | 1.54941i | 0.0243343 | + | 0.0748934i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.44667 | + | 1.76973i | 0.262662 | + | 0.0853440i | ||||
\(431\) | −25.1750 | − | 8.17986i | −1.21264 | − | 0.394010i | −0.368242 | − | 0.929730i | \(-0.620040\pi\) |
−0.844396 | + | 0.535720i | \(0.820040\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.144494 | + | 0.444707i | 0.00694395 | + | 0.0213713i | 0.954468 | − | 0.298312i | \(-0.0964235\pi\) |
−0.947525 | + | 0.319683i | \(0.896424\pi\) | |||||||
\(434\) | −2.51305 | − | 15.8668i | −0.120630 | − | 0.761630i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.53990 | − | 1.35259i | −0.408987 | − | 0.0647772i | ||||
\(437\) | −2.77037 | − | 2.77037i | −0.132525 | − | 0.132525i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.05677 | + | 19.2997i | −0.145892 | + | 0.921123i | 0.800788 | + | 0.598947i | \(0.204414\pi\) |
−0.946680 | + | 0.322176i | \(0.895586\pi\) | |||||||
\(440\) | −5.60388 | + | 0.887568i | −0.267155 | + | 0.0423131i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 2.87459i | − | 0.136730i | ||||||
\(443\) | −4.37823 | + | 6.02611i | −0.208016 | + | 0.286309i | −0.900259 | − | 0.435355i | \(-0.856623\pi\) |
0.692243 | + | 0.721665i | \(0.256623\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.60315 | + | 9.03419i | −0.218210 | + | 0.428262i | ||||
\(446\) | 3.27717 | + | 4.51063i | 0.155178 | + | 0.213585i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4.86526 | + | 4.86526i | −0.229862 | + | 0.229862i | ||||
\(449\) | −24.2920 | + | 7.89296i | −1.14641 | + | 0.372492i | −0.819790 | − | 0.572664i | \(-0.805910\pi\) |
−0.326621 | + | 0.945155i | \(0.605910\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.90981 | + | 19.2855i | −0.231194 | + | 0.908121i | ||||
\(452\) | 22.5594 | 1.06110 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −11.2791 | + | 11.2791i | −0.529354 | + | 0.529354i | ||||
\(455\) | −3.66000 | + | 2.65914i | −0.171583 | + | 0.124663i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.0293 | − | 31.4593i | 0.749820 | − | 1.47161i | −0.127571 | − | 0.991829i | \(-0.540718\pi\) |
0.877391 | − | 0.479776i | \(-0.159282\pi\) | |||||||
\(458\) | 0.987815 | + | 1.93870i | 0.0461576 | + | 0.0905893i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.935866i | 0.0436350i | ||||||||
\(461\) | −23.0488 | − | 16.7459i | −1.07349 | − | 0.779936i | −0.0969530 | − | 0.995289i | \(-0.530910\pi\) |
−0.976536 | + | 0.215353i | \(0.930910\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.00832 | + | 12.6801i | −0.0933348 | + | 0.589293i | 0.896048 | + | 0.443958i | \(0.146426\pi\) |
−0.989383 | + | 0.145335i | \(0.953574\pi\) | |||||||
\(464\) | −8.58904 | − | 4.37633i | −0.398736 | − | 0.203166i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.6253 | − | 1.99965i | −0.584856 | − | 0.0926321i | ||||
\(467\) | −9.10432 | + | 28.0202i | −0.421297 | + | 1.29662i | 0.485198 | + | 0.874404i | \(0.338748\pi\) |
−0.906495 | + | 0.422216i | \(0.861252\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.84210 | − | 24.1355i | −0.362114 | − | 1.11447i | ||||
\(470\) | 5.42881 | − | 2.76612i | 0.250412 | − | 0.127591i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.7581 | − | 3.49551i | −0.495180 | − | 0.160894i | ||||
\(473\) | 30.0616 | − | 15.3172i | 1.38224 | − | 0.704284i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.07996 | − | 19.4461i | −0.141318 | − | 0.892248i | ||||
\(476\) | 2.75134 | − | 8.46777i | 0.126108 | − | 0.388120i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.08562 | − | 3.08562i | −0.141133 | − | 0.141133i | ||||
\(479\) | 23.8053 | + | 12.1294i | 1.08769 | + | 0.554207i | 0.903459 | − | 0.428675i | \(-0.141020\pi\) |
0.184234 | + | 0.982882i | \(0.441020\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.57480 | − | 1.35812i | 0.390977 | − | 0.0619247i | ||||
\(482\) | −5.21943 | − | 3.79214i | −0.237739 | − | 0.172727i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.15069 | − | 1.58379i | 0.0523041 | − | 0.0719904i | ||||
\(485\) | 2.09302 | + | 4.10779i | 0.0950393 | + | 0.186525i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.82210 | + | 9.38981i | 0.309139 | + | 0.425493i | 0.935112 | − | 0.354351i | \(-0.115298\pi\) |
−0.625974 | + | 0.779844i | \(0.715298\pi\) | |||||||
\(488\) | 24.5591 | − | 17.8432i | 1.11174 | − | 0.807724i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.41221 | − | 0.458853i | 0.0637969 | − | 0.0207289i | ||||
\(491\) | 26.8852 | 1.21331 | 0.606656 | − | 0.794964i | \(-0.292511\pi\) | ||||
0.606656 | + | 0.794964i | \(0.292511\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −17.8084 | −0.802052 | ||||||||
\(494\) | 6.16797 | − | 2.00409i | 0.277510 | − | 0.0901685i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.94898 | + | 4.32218i | −0.267117 | + | 0.194072i | ||||
\(497\) | −1.84220 | − | 2.53557i | −0.0826341 | − | 0.113736i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.83710 | + | 11.4559i | 0.261304 | + | 0.512839i | 0.983964 | − | 0.178365i | \(-0.0570808\pi\) |
−0.722660 | + | 0.691204i | \(0.757081\pi\) | |||||||
\(500\) | −5.84663 | + | 8.04720i | −0.261469 | + | 0.359882i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.04695 | − | 2.21374i | −0.135992 | − | 0.0988041i | ||||
\(503\) | −11.9300 | + | 1.88953i | −0.531934 | + | 0.0842501i | −0.416623 | − | 0.909079i | \(-0.636786\pi\) |
−0.115311 | + | 0.993329i | \(0.536786\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.69940 | − | 3.92304i | −0.342619 | − | 0.174573i | ||||
\(506\) | −1.44059 | − | 1.44059i | −0.0640419 | − | 0.0640419i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.95669 | + | 6.02208i | −0.0868141 | + | 0.267186i | ||||
\(509\) | −4.55017 | − | 28.7287i | −0.201683 | − | 1.27338i | −0.855929 | − | 0.517094i | \(-0.827014\pi\) |
0.654246 | − | 0.756282i | \(-0.272986\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.1370 | + | 9.24126i | −0.802333 | + | 0.408809i | ||||
\(512\) | 10.9621 | + | 3.56179i | 0.484460 | + | 0.157411i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.719519 | + | 0.366613i | −0.0317366 | + | 0.0161706i | ||||
\(515\) | −3.41223 | − | 10.5017i | −0.150361 | − | 0.462762i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.0921 | − | 34.1379i | 0.487829 | − | 1.50138i | ||||
\(518\) | −9.81397 | − | 1.55438i | −0.431201 | − | 0.0682956i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.27068 | − | 1.66649i | −0.143429 | − | 0.0730806i | ||||
\(521\) | −3.39562 | + | 21.4391i | −0.148765 | + | 0.939264i | 0.794510 | + | 0.607251i | \(0.207728\pi\) |
−0.943275 | + | 0.332013i | \(0.892272\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.7639 | − | 9.27355i | −0.558128 | − | 0.405504i | 0.272645 | − | 0.962115i | \(-0.412102\pi\) |
−0.830773 | + | 0.556611i | \(0.812102\pi\) | |||||||
\(524\) | 24.2047i | 1.05739i | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.25648 | − | 8.35382i | −0.185592 | − | 0.364244i | ||||
\(527\) | −6.16728 | + | 12.1040i | −0.268651 | + | 0.527257i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.9632 | − | 13.0510i | 0.781009 | − | 0.567436i | ||||
\(530\) | 1.11058 | − | 1.11058i | 0.0482406 | − | 0.0482406i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 20.0874 | 0.870897 | ||||||||
\(533\) | −9.90382 | + | 8.22721i | −0.428982 | + | 0.356360i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.761946 | − | 0.247571i | 0.0329418 | − | 0.0107034i | ||||
\(536\) | 14.5602 | − | 14.5602i | 0.628907 | − | 0.628907i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.238379 | + | 0.328101i | 0.0102773 | + | 0.0141454i | ||||
\(539\) | 3.97141 | − | 7.79434i | 0.171061 | − | 0.335726i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.48515 | − | 3.42051i | 0.106845 | − | 0.147059i | −0.752246 | − | 0.658882i | \(-0.771030\pi\) |
0.859091 | + | 0.511823i | \(0.171030\pi\) | |||||||
\(542\) | − | 2.02768i | − | 0.0870965i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 11.2594 | − | 1.78332i | 0.482743 | − | 0.0764590i | ||||
\(545\) | −0.665157 | + | 4.19964i | −0.0284922 | + | 0.179893i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.68661 | − | 1.68661i | −0.0721143 | − | 0.0721143i | 0.670130 | − | 0.742244i | \(-0.266238\pi\) |
−0.742244 | + | 0.670130i | \(0.766238\pi\) | |||||||
\(548\) | −0.340362 | − | 0.0539081i | −0.0145396 | − | 0.00230284i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.60157 | − | 10.1119i | −0.0682913 | − | 0.431174i | ||||
\(551\) | −12.4156 | − | 38.2113i | −0.528923 | − | 1.62786i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 18.6807 | + | 6.06972i | 0.794383 | + | 0.258111i | ||||
\(554\) | −14.8544 | − | 4.82648i | −0.631102 | − | 0.205057i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.06294 | − | 3.27139i | −0.0450787 | − | 0.138738i | ||||
\(557\) | −1.20951 | − | 7.63657i | −0.0512487 | − | 0.323572i | −0.999972 | − | 0.00746438i | \(-0.997624\pi\) |
0.948723 | − | 0.316107i | \(-0.102376\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 21.5595 | + | 3.41470i | 0.911871 | + | 0.144426i | ||||
\(560\) | −1.67589 | − | 1.67589i | −0.0708191 | − | 0.0708191i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.205981 | + | 1.30051i | −0.00868878 | + | 0.0548588i | ||||
\(563\) | −29.4356 | + | 4.66214i | −1.24056 | + | 0.196486i | −0.742019 | − | 0.670379i | \(-0.766131\pi\) |
−0.498543 | + | 0.866865i | \(0.666131\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 11.0940i | − | 0.466726i | ||||||
\(566\) | 1.60558 | − | 2.20989i | 0.0674875 | − | 0.0928885i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.15451 | − | 2.26586i | 0.0484423 | − | 0.0950734i | ||||
\(569\) | 5.19710 | + | 7.15320i | 0.217874 | + | 0.299878i | 0.903938 | − | 0.427663i | \(-0.140663\pi\) |
−0.686064 | + | 0.727541i | \(0.740663\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.7965 | − | 15.7965i | 0.661063 | − | 0.661063i | −0.294567 | − | 0.955631i | \(-0.595176\pi\) |
0.955631 | + | 0.294567i | \(0.0951756\pi\) | |||||||
\(572\) | −8.67981 | + | 2.82024i | −0.362921 | + | 0.117920i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.6900 | − | 5.45256i | 0.571411 | − | 0.227586i | ||||
\(575\) | −4.00146 | −0.166872 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.51989 | − | 8.51989i | 0.354688 | − | 0.354688i | −0.507163 | − | 0.861850i | \(-0.669306\pi\) |
0.861850 | + | 0.507163i | \(0.169306\pi\) | |||||||
\(578\) | −7.85233 | + | 5.70505i | −0.326614 | + | 0.237299i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.35707 | + | 8.55122i | −0.180917 | + | 0.355070i | ||||
\(581\) | 11.1470 | + | 21.8772i | 0.462456 | + | 0.907621i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 9.25279i | − | 0.383211i | ||||||
\(584\) | −13.3621 | − | 9.70816i | −0.552929 | − | 0.401726i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.59766 | + | 10.0872i | −0.0659988 | + | 0.416700i | ||||
\(587\) | 22.9909 | + | 11.7145i | 0.948936 | + | 0.483507i | 0.858737 | − | 0.512417i | \(-0.171250\pi\) |
0.0901991 | + | 0.995924i | \(0.471250\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −30.2710 | − | 4.79445i | −1.24729 | − | 0.197552i | ||||
\(590\) | −0.725454 | + | 2.23272i | −0.0298664 | + | 0.0919195i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.40547 | + | 4.32560i | 0.0577646 | + | 0.177781i | ||||
\(593\) | −18.5585 | + | 9.45605i | −0.762108 | + | 0.388313i | −0.791432 | − | 0.611257i | \(-0.790664\pi\) |
0.0293248 | + | 0.999570i | \(0.490664\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.16416 | − | 1.35302i | −0.170714 | − | 0.0554684i | ||||
\(596\) | −10.9188 | + | 5.56341i | −0.447252 | + | 0.227886i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.206193 | − | 1.30185i | −0.00843187 | − | 0.0532367i | ||||
\(599\) | 5.67622 | − | 17.4696i | 0.231924 | − | 0.713789i | −0.765591 | − | 0.643328i | \(-0.777553\pi\) |
0.997515 | − | 0.0704605i | \(-0.0224469\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.61945 | − | 7.61945i | −0.310804 | − | 0.310804i | 0.534417 | − | 0.845221i | \(-0.320531\pi\) |
−0.845221 | + | 0.534417i | \(0.820531\pi\) | |||||||
\(602\) | −22.2598 | − | 11.3419i | −0.907241 | − | 0.462263i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.22478 | + | 0.827524i | −0.212593 | + | 0.0336715i | ||||
\(605\) | −0.778854 | − | 0.565870i | −0.0316649 | − | 0.0230059i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.17357 | + | 11.2500i | −0.331755 | + | 0.456622i | −0.942011 | − | 0.335583i | \(-0.891067\pi\) |
0.610256 | + | 0.792205i | \(0.291067\pi\) | |||||||
\(608\) | 11.6762 | + | 22.9159i | 0.473534 | + | 0.929362i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.70315 | − | 5.09695i | −0.149936 | − | 0.206370i | ||||
\(611\) | 18.7878 | − | 13.6501i | 0.760073 | − | 0.552226i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.1988 | + | 4.61346i | −0.573482 | + | 0.186336i | −0.581379 | − | 0.813633i | \(-0.697487\pi\) |
0.00789628 | + | 0.999969i | \(0.497487\pi\) | |||||||
\(614\) | 16.0653 | 0.648344 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 24.7505 | 0.997227 | ||||||||
\(617\) | −7.99439 | + | 2.59753i | −0.321842 | + | 0.104573i | −0.465482 | − | 0.885057i | \(-0.654119\pi\) |
0.143640 | + | 0.989630i | \(0.454119\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.0401 | + | 16.0131i | −0.885866 | + | 0.643619i | −0.934797 | − | 0.355183i | \(-0.884418\pi\) |
0.0489312 | + | 0.998802i | \(0.484418\pi\) | |||||||
\(620\) | 4.30315 | + | 5.92278i | 0.172819 | + | 0.237865i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.31922 | − | 10.4396i | −0.213281 | − | 0.418588i | ||||
\(623\) | 25.9981 | − | 35.7834i | 1.04159 | − | 1.43363i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.1818 | − | 10.3037i | −0.567272 | − | 0.412148i | ||||
\(626\) | 0.595887 | − | 0.0943792i | 0.0238164 | − | 0.00377215i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −17.9308 | − | 9.13619i | −0.715516 | − | 0.364574i | ||||
\(629\) | 5.94138 | + | 5.94138i | 0.236898 | + | 0.236898i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.989181 | − | 3.04439i | 0.0393787 | − | 0.121195i | −0.929435 | − | 0.368987i | \(-0.879705\pi\) |
0.968813 | + | 0.247792i | \(0.0797048\pi\) | |||||||
\(632\) | 2.49317 | + | 15.7413i | 0.0991731 | + | 0.626154i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.5181 | − | 9.43542i | 0.735446 | − | 0.374728i | ||||
\(635\) | 2.96145 | + | 0.962235i | 0.117522 | + | 0.0381851i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.04275 | − | 2.56941i | 0.199801 | − | 0.101804i | ||||
\(638\) | −6.45610 | − | 19.8698i | −0.255599 | − | 0.786654i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.24192 | − | 6.89991i | 0.0886196 | − | 0.272743i | ||||
\(641\) | 42.6511 | + | 6.75528i | 1.68462 | + | 0.266817i | 0.924003 | − | 0.382385i | \(-0.124897\pi\) |
0.760615 | + | 0.649203i | \(0.224897\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.56855 | − | 1.81827i | −0.140730 | − | 0.0717054i | 0.382208 | − | 0.924076i | \(-0.375164\pi\) |
−0.522937 | + | 0.852371i | \(0.675164\pi\) | |||||||
\(644\) | 0.638648 | − | 4.03226i | 0.0251663 | − | 0.158893i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.07799 | + | 3.68937i | 0.199791 | + | 0.145156i | ||||
\(647\) | − | 16.9523i | − | 0.666465i | −0.942845 | − | 0.333232i | \(-0.891861\pi\) | ||
0.942845 | − | 0.333232i | \(-0.108139\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.27886 | + | 12.3230i | 0.246467 | + | 0.483718i | ||||
\(650\) | 3.00711 | − | 5.90178i | 0.117948 | − | 0.231487i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.09093 | − | 0.792609i | 0.0427242 | − | 0.0310410i | ||||
\(653\) | −12.3449 | + | 12.3449i | −0.483092 | + | 0.483092i | −0.906118 | − | 0.423026i | \(-0.860968\pi\) |
0.423026 | + | 0.906118i | \(0.360968\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.9031 | 0.465091 | ||||||||
\(656\) | −5.06870 | − | 4.45034i | −0.197900 | − | 0.173757i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −25.2782 | + | 8.21337i | −0.985445 | + | 0.320191i | ||||
\(659\) | 19.4232 | − | 19.4232i | 0.756620 | − | 0.756620i | −0.219086 | − | 0.975706i | \(-0.570308\pi\) |
0.975706 | + | 0.219086i | \(0.0703075\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.42412 | − | 6.08928i | −0.172078 | − | 0.236846i | 0.714264 | − | 0.699877i | \(-0.246762\pi\) |
−0.886342 | + | 0.463031i | \(0.846762\pi\) | |||||||
\(662\) | −10.2567 | + | 20.1299i | −0.398637 | + | 0.782369i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.7102 | + | 16.1177i | −0.454443 | + | 0.625488i | ||||
\(665\) | − | 9.87829i | − | 0.383063i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.06515 | + | 1.27739i | −0.312284 | + | 0.0494609i | ||||
\(668\) | −3.88417 | + | 24.5237i | −0.150283 | + | 0.948851i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.02181 | − | 3.02181i | −0.116743 | − | 0.116743i | ||||
\(671\) | −36.6589 | − | 5.80620i | −1.41520 | − | 0.224146i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.65260 | + | 42.0029i | 0.256439 | + | 1.61909i | 0.694049 | + | 0.719927i | \(0.255825\pi\) |
−0.437610 | + | 0.899165i | \(0.644175\pi\) | |||||||
\(674\) | −5.91459 | − | 18.2032i | −0.227822 | − | 0.701163i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.4400 | + | 4.04200i | 0.478461 | + | 0.155462i | ||||
\(677\) | 44.0320 | + | 14.3069i | 1.69229 | + | 0.549857i | 0.987231 | − | 0.159294i | \(-0.0509219\pi\) |
0.705056 | + | 0.709152i | \(0.250922\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.21477 | − | 19.1271i | −0.238501 | − | 0.734030i | ||||
\(680\) | −0.555760 | − | 3.50893i | −0.0213124 | − | 0.134561i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −15.7409 | − | 2.49311i | −0.602749 | − | 0.0954661i | ||||
\(683\) | −10.8884 | − | 10.8884i | −0.416633 | − | 0.416633i | 0.467409 | − | 0.884041i | \(-0.345188\pi\) |
−0.884041 | + | 0.467409i | \(0.845188\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.0265102 | + | 0.167379i | −0.00101290 | + | 0.00639522i | ||||
\(686\) | 9.51347 | − | 1.50679i | 0.363226 | − | 0.0575293i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.4355i | 0.435975i | ||||||||
\(689\) | 3.51868 | − | 4.84304i | 0.134051 | − | 0.184505i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.4697 | − | 38.2115i | 0.740664 | − | 1.45363i | −0.145060 | − | 0.989423i | \(-0.546338\pi\) |
0.885724 | − | 0.464212i | \(-0.153662\pi\) | |||||||
\(692\) | −10.4232 | − | 14.3462i | −0.396229 | − | 0.545363i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.37018 | + | 3.37018i | −0.127930 | + | 0.127930i | ||||
\(695\) | −1.60876 | + | 0.522718i | −0.0610237 | + | 0.0198278i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.0759 | − | 3.07433i | −0.457406 | − | 0.116449i | ||||
\(698\) | −5.55292 | −0.210181 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 14.5069 | − | 14.5069i | 0.548309 | − | 0.548309i | ||||
\(701\) | −23.6599 | + | 17.1899i | −0.893623 | + | 0.649255i | −0.936820 | − | 0.349812i | \(-0.886246\pi\) |
0.0431974 | + | 0.999067i | \(0.486246\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.60616 | + | 16.8905i | −0.324587 | + | 0.637039i | ||||
\(704\) | 3.09890 | + | 6.08193i | 0.116794 | + | 0.229222i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 27.3281i | 1.02851i | ||||||||
\(707\) | 30.4964 | + | 22.1570i | 1.14694 | + | 0.833298i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.32698 | − | 8.37821i | 0.0498357 | − | 0.314650i | −0.950160 | − | 0.311762i | \(-0.899081\pi\) |
0.999996 | − | 0.00288796i | \(-0.000919268\pi\) | |||||||
\(710\) | −0.470254 | − | 0.239606i | −0.0176483 | − | 0.00899227i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 35.4468 | + | 5.61423i | 1.32843 | + | 0.210402i | ||||
\(713\) | −1.92484 | + | 5.92406i | −0.0720860 | + | 0.221858i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.38690 | + | 4.26844i | 0.0518671 | + | 0.159631i | ||||
\(716\) | −2.78279 | + | 1.41790i | −0.103998 | + | 0.0529896i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 15.1981 | + | 4.93816i | 0.567188 | + | 0.184291i | ||||
\(719\) | −34.3184 | + | 17.4861i | −1.27986 | + | 0.652121i | −0.955828 | − | 0.293926i | \(-0.905038\pi\) |
−0.324031 | + | 0.946046i | \(0.605038\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.53535 | + | 47.5763i | 0.280631 | + | 1.77183i | ||||
\(722\) | −0.0629445 | + | 0.193723i | −0.00234255 | + | 0.00720964i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.80117 | + | 5.80117i | 0.215599 | + | 0.215599i | ||||
\(725\) | −36.5623 | − | 18.6294i | −1.35789 | − | 0.691879i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −51.1019 | + | 8.09374i | −1.89526 | + | 0.300180i | −0.991730 | − | 0.128338i | \(-0.959036\pi\) |
−0.903533 | + | 0.428518i | \(0.859036\pi\) | |||||||
\(728\) | 12.9548 | + | 9.41220i | 0.480136 | + | 0.348839i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.01482 | + | 2.77316i | −0.0745718 | + | 0.102639i | ||||
\(731\) | 9.59102 | + | 18.8234i | 0.354737 | + | 0.696210i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.369332 | + | 0.508342i | 0.0136416 | + | 0.0187760i | 0.815783 | − | 0.578358i | \(-0.196306\pi\) |
−0.802142 | + | 0.597134i | \(0.796306\pi\) | |||||||
\(734\) | 10.3974 | − | 7.55415i | 0.383775 | − | 0.278829i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.97128 | − | 1.61527i | 0.183244 | − | 0.0595396i | ||||
\(737\) | −25.1762 | −0.927376 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.6971 | 1.49707 | 0.748533 | − | 0.663097i | \(-0.230758\pi\) | ||||
0.748533 | + | 0.663097i | \(0.230758\pi\) | |||||||
\(740\) | 4.30656 | − | 1.39929i | 0.158312 | − | 0.0514388i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.54292 | + | 4.02717i | −0.203487 | + | 0.147842i | ||||
\(743\) | −9.43650 | − | 12.9882i | −0.346192 | − | 0.476492i | 0.600045 | − | 0.799966i | \(-0.295149\pi\) |
−0.946237 | + | 0.323474i | \(0.895149\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.73590 | + | 5.36950i | 0.100236 | + | 0.196723i | ||||
\(746\) | −3.09384 | + | 4.25830i | −0.113273 | + | 0.155908i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.14595 | − | 5.19184i | −0.261282 | − | 0.189832i | ||||
\(749\) | −3.45186 | + | 0.546721i | −0.126128 | + | 0.0199768i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.2079 | + | 13.3536i | 0.956339 | + | 0.487279i | 0.861245 | − | 0.508189i | \(-0.169685\pi\) |
0.0950935 | + | 0.995468i | \(0.469685\pi\) | |||||||
\(752\) | 8.60280 | + | 8.60280i | 0.313712 | + | 0.313712i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.17694 | − | 12.8553i | 0.152115 | − | 0.468162i | ||||
\(755\) | 0.406949 | + | 2.56937i | 0.0148104 | + | 0.0935090i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32.6350 | − | 16.6284i | 1.18614 | − | 0.604369i | 0.254260 | − | 0.967136i | \(-0.418168\pi\) |
0.931880 | + | 0.362767i | \(0.118168\pi\) | |||||||
\(758\) | −5.51323 | − | 1.79136i | −0.200249 | − | 0.0650650i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.14161 | − | 3.63883i | 0.259053 | − | 0.131994i | ||||
\(761\) | 8.21482 | + | 25.2826i | 0.297787 | + | 0.916494i | 0.982271 | + | 0.187466i | \(0.0600276\pi\) |
−0.684484 | + | 0.729028i | \(0.739972\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.73178 | − | 17.6406i | 0.207504 | − | 0.638633i | ||||
\(764\) | 18.9256 | + | 2.99752i | 0.684703 | + | 0.108446i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.02951 | − | 2.05314i | −0.145592 | − | 0.0741830i | ||||
\(767\) | −1.39976 | + | 8.83775i | −0.0505425 | + | 0.319113i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.8728 | − | 12.9853i | −0.644509 | − | 0.468263i | 0.216887 | − | 0.976197i | \(-0.430410\pi\) |
−0.861396 | + | 0.507933i | \(0.830410\pi\) | |||||||
\(770\) | − | 5.13669i | − | 0.185114i | ||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.9904 | + | 21.5698i | 0.395552 | + | 0.776314i | ||||
\(773\) | 15.6700 | − | 30.7541i | 0.563610 | − | 1.10615i | −0.416767 | − | 0.909014i | \(-0.636837\pi\) |
0.980377 | − | 0.197133i | \(-0.0631632\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −25.3239 | + | 18.3989i | −0.909662 | + | 0.660908i | ||||
\(776\) | 11.5388 | − | 11.5388i | 0.414219 | − | 0.414219i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.3207 | −0.585127 | ||||||||
\(779\) | −1.82244 | − | 28.0544i | −0.0652957 | − | 1.00515i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.95709 | + | 0.960817i | −0.105813 | + | 0.0343807i | ||||
\(782\) | 0.902039 | − | 0.902039i | 0.0322569 | − | 0.0322569i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.74277 | + | 2.39872i | 0.0622419 | + | 0.0856687i | ||||
\(785\) | −4.49287 | + | 8.81776i | −0.160358 | + | 0.314719i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.79695 | − | 6.60244i | 0.170993 | − | 0.235351i | −0.714917 | − | 0.699210i | \(-0.753535\pi\) |
0.885909 | + | 0.463858i | \(0.153535\pi\) | |||||||
\(788\) | 21.1476i | 0.753351i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.26692 | − | 0.517430i | 0.116232 | − | 0.0184093i | ||||
\(791\) | −7.57067 | + | 47.7993i | −0.269182 | + | 1.69955i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16.9798 | − | 16.9798i | −0.602971 | − | 0.602971i | ||||
\(794\) | −4.73742 | − | 0.750334i | −0.168125 | − | 0.0266284i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.12105 | + | 26.0193i | 0.146067 | + | 0.922229i | ||||
\(797\) | −14.2797 | − | 43.9483i | −0.505812 | − | 1.55673i | −0.799402 | − | 0.600797i | \(-0.794850\pi\) |
0.293590 | − | 0.955931i | \(-0.405150\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.3758 | + | 6.94543i | 0.756223 | + | 0.245712i | ||||
\(800\) | 24.9821 | + | 8.11717i | 0.883250 | + | 0.286985i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.83739 | + | 14.8880i | 0.170814 | + | 0.525712i | ||||
\(803\) | 3.15905 | + | 19.9455i | 0.111480 | + | 0.703860i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.98293 | − | 0.314066i | −0.0698892 | − | 0.0110694i | ||||
\(806\) | −7.29091 | − | 7.29091i | −0.256811 | − | 0.256811i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.78473 | + | 30.2096i | −0.168326 | + | 1.06277i | ||||
\(809\) | −0.358629 | + | 0.0568012i | −0.0126087 | + | 0.00199703i | −0.162736 | − | 0.986670i | \(-0.552032\pi\) |
0.150127 | + | 0.988667i | \(0.452032\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 22.6805i | − | 0.796419i | −0.917295 | − | 0.398209i | \(-0.869632\pi\) | ||
0.917295 | − | 0.398209i | \(-0.130368\pi\) | |||||||
\(812\) | 24.6083 | − | 33.8704i | 0.863582 | − | 1.18862i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.47519 | + | 8.78305i | −0.156855 | + | 0.307846i | ||||
\(815\) | −0.389779 | − | 0.536484i | −0.0136534 | − | 0.0187922i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −33.7026 | + | 33.7026i | −1.17910 | + | 1.17910i | ||||
\(818\) | −2.72209 | + | 0.884459i | −0.0951755 | + | 0.0309244i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.43074 | + | 5.04639i | −0.154728 | + | 0.176227i | ||||
\(821\) | 12.5246 | 0.437111 | 0.218556 | − | 0.975824i | \(-0.429865\pi\) | ||||
0.218556 | + | 0.975824i | \(0.429865\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.7847 | + | 21.7847i | −0.759365 | + | 0.759365i | −0.976207 | − | 0.216842i | \(-0.930425\pi\) |
0.216842 | + | 0.976207i | \(0.430425\pi\) | |||||||
\(824\) | −31.6200 | + | 22.9733i | −1.10154 | + | 0.800312i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.64932 | − | 9.12480i | 0.161771 | − | 0.317493i | ||||
\(827\) | 5.75807 | + | 11.3008i | 0.200228 | + | 0.392969i | 0.969186 | − | 0.246330i | \(-0.0792247\pi\) |
−0.768958 | + | 0.639299i | \(0.779225\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 47.8117i | − | 1.66057i | −0.557341 | − | 0.830284i | \(-0.688178\pi\) | ||
0.557341 | − | 0.830284i | \(-0.311822\pi\) | |||||||
\(830\) | 3.34505 | + | 2.43032i | 0.116108 | + | 0.0843576i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.690846 | + | 4.36183i | −0.0239508 | + | 0.151219i | ||||
\(833\) | 4.88051 | + | 2.48675i | 0.169100 | + | 0.0861606i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.0599 | + | 1.91011i | 0.417351 | + | 0.0661020i | ||||
\(836\) | 6.15807 | − | 18.9526i | 0.212981 | − | 0.655489i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.36499 | − | 10.3564i | −0.116242 | − | 0.357755i | ||||
\(839\) | 5.31936 | − | 2.71035i | 0.183645 | − | 0.0935717i | −0.359751 | − | 0.933048i | \(-0.617138\pi\) |
0.543396 | + | 0.839477i | \(0.317138\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −52.0596 | − | 16.9152i | −1.79516 | − | 0.583282i | ||||
\(842\) | 7.28344 | − | 3.71110i | 0.251004 | − | 0.127893i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.08448 | + | 19.4746i | 0.106172 | + | 0.670345i | ||||
\(845\) | 1.98772 | − | 6.11757i | 0.0683796 | − | 0.210451i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.96961 | + | 2.96961i | 0.102037 | + | 0.102037i | ||||
\(848\) | 2.79433 | + | 1.42378i | 0.0959577 | + | 0.0488929i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 6.33170 | − | 1.00284i | 0.217176 | − | 0.0343972i | ||||
\(851\) | 3.11693 | + | 2.26458i | 0.106847 | + | 0.0776288i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.50643 | + | 4.82618i | −0.120058 | + | 0.165245i | −0.864816 | − | 0.502089i | \(-0.832565\pi\) |
0.744758 | + | 0.667335i | \(0.232565\pi\) | |||||||
\(854\) | 12.4771 | + | 24.4878i | 0.426959 | + | 0.837955i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.66681 | − | 2.29417i | −0.0569704 | − | 0.0784130i | ||||
\(857\) | −6.99504 | + | 5.08219i | −0.238946 | + | 0.173604i | −0.700814 | − | 0.713344i | \(-0.747180\pi\) |
0.461868 | + | 0.886949i | \(0.347180\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 34.4964 | − | 11.2086i | 1.17700 | − | 0.382432i | 0.345751 | − | 0.938326i | \(-0.387624\pi\) |
0.831253 | + | 0.555895i | \(0.187624\pi\) | |||||||
\(860\) | 11.3852 | 0.388231 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 19.4452 | 0.662305 | ||||||||
\(863\) | 32.6565 | − | 10.6107i | 1.11164 | − | 0.361193i | 0.305068 | − | 0.952331i | \(-0.401321\pi\) |
0.806571 | + | 0.591137i | \(0.201321\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.05500 | + | 5.12576i | −0.239877 | + | 0.174281i | ||||
\(866\) | −0.201899 | − | 0.277891i | −0.00686082 | − | 0.00944311i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −14.4987 | − | 28.4554i | −0.492119 | − | 0.965839i | ||||
\(869\) | 11.4537 | − | 15.7646i | 0.388539 | − | 0.534778i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.1776 | − | 9.57406i | −0.446505 | − | 0.324405i | ||||
\(872\) | 14.8649 | − | 2.35436i | 0.503388 | − | 0.0797288i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.56437 | + | 1.30661i | 0.0867412 | + | 0.0441969i | ||||
\(875\) | −15.0885 | − | 15.0885i | −0.510085 | − | 0.510085i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.8957 | + | 42.7666i | −0.469225 | + | 1.44413i | 0.384366 | + | 0.923181i | \(0.374420\pi\) |
−0.853591 | + | 0.520944i | \(0.825580\pi\) | |||||||
\(878\) | −2.24549 | − | 14.1775i | −0.0757815 | − | 0.478466i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.09498 | + | 1.06745i | −0.0706218 | + | 0.0359836i | ||||
\(881\) | −26.6642 | − | 8.66372i | −0.898339 | − | 0.291888i | −0.176788 | − | 0.984249i | \(-0.556571\pi\) |
−0.721551 | + | 0.692361i | \(0.756571\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.0612 | − | 17.3551i | 1.14625 | − | 0.584044i | 0.225519 | − | 0.974239i | \(-0.427592\pi\) |
0.920733 | + | 0.390194i | \(0.127592\pi\) | |||||||
\(884\) | −1.76593 | − | 5.43496i | −0.0593945 | − | 0.182798i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.69087 | − | 5.20396i | 0.0568059 | − | 0.174830i | ||||
\(887\) | −15.7052 | − | 2.48746i | −0.527329 | − | 0.0835207i | −0.112907 | − | 0.993606i | \(-0.536016\pi\) |
−0.414422 | + | 0.910085i | \(0.636016\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.1031 | − | 6.16682i | −0.405923 | − | 0.206828i | ||||
\(890\) | 1.16517 | − | 7.35659i | 0.0390566 | − | 0.246593i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.96710 | + | 6.51498i | 0.300241 | + | 0.218138i | ||||
\(893\) | 50.7080i | 1.69688i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.697278 | + | 1.36849i | 0.0233074 | + | 0.0457434i | ||||
\(896\) | −14.3681 | + | 28.1990i | −0.480005 | + | 0.942062i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 15.1797 | − | 11.0287i | 0.506553 | − | 0.368032i | ||||
\(899\) | −45.1681 | + | 45.1681i | −1.50644 | + | 1.50644i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.79374 | 0.193017 | ||||||||
\(902\) | −0.947666 | − | 14.5882i | −0.0315538 | − | 0.485735i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −37.3458 | + | 12.1344i | −1.24210 | + | 0.403584i | ||||
\(905\) | 2.85282 | − | 2.85282i | 0.0948310 | − | 0.0948310i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 25.3442 | + | 34.8834i | 0.841542 | + | 1.15828i | 0.985664 | + | 0.168723i | \(0.0539643\pi\) |
−0.144122 | + | 0.989560i | \(0.546036\pi\) | |||||||
\(908\) | −14.3963 | + | 28.2543i | −0.477757 | + | 0.937652i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.95340 | − | 2.68862i | 0.0647544 | − | 0.0891268i | ||||
\(911\) | 26.3499i | 0.873010i | 0.899702 | + | 0.436505i | \(0.143784\pi\) | ||||
−0.899702 | + | 0.436505i | \(0.856216\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.0586 | − | 3.81051i | 0.796225 | − | 0.126110i | ||||
\(914\) | −4.05741 | + | 25.6175i | −0.134207 | + | 0.847352i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.05864 | + | 3.05864i | 0.101060 | + | 0.101060i | ||||
\(917\) | −51.2854 | − | 8.12282i | −1.69359 | − | 0.268239i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.74106 | + | 29.9339i | 0.156393 | + | 0.987427i | 0.933635 | + | 0.358226i | \(0.116618\pi\) |
−0.777242 | + | 0.629202i | \(0.783382\pi\) | |||||||
\(920\) | −0.503389 | − | 1.54927i | −0.0165963 | − | 0.0510780i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 19.9042 | + | 6.46727i | 0.655510 | + | 0.212988i | ||||
\(923\) | −1.91317 | − | 0.621625i | −0.0629726 | − | 0.0204610i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.98289 | + | 18.4135i | 0.196716 | + | 0.605431i | ||||
\(926\) | −1.47531 | − | 9.31472i | −0.0484816 | − | 0.306101i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 52.9439 | + | 8.38549i | 1.73797 | + | 0.275267i | ||||
\(929\) | 14.3945 | + | 14.3945i | 0.472267 | + | 0.472267i | 0.902647 | − | 0.430381i | \(-0.141621\pi\) |
−0.430381 | + | 0.902647i | \(0.641621\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.93320 | + | 12.2058i | −0.0633581 | + | 0.400027i | ||||
\(932\) | −25.0990 | + | 3.97529i | −0.822145 | + | 0.130215i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 21.6428i | − | 0.708174i | ||||||
\(935\) | −2.55317 | + | 3.51414i | −0.0834976 | + | 0.114925i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.9622 | + | 33.2901i | −0.554130 | + | 1.08754i | 0.428772 | + | 0.903413i | \(0.358946\pi\) |
−0.982902 | + | 0.184129i | \(0.941054\pi\) | |||||||
\(938\) | 10.9576 | + | 15.0819i | 0.357779 | + | 0.492441i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.56492 | − | 8.56492i | 0.279357 | − | 0.279357i | ||||
\(941\) | 23.3267 | − | 7.57929i | 0.760427 | − | 0.247078i | 0.0969652 | − | 0.995288i | \(-0.469086\pi\) |
0.663462 | + | 0.748210i | \(0.269086\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5.68948 | − | 0.526117i | −0.185275 | − | 0.0171327i | ||||
\(944\) | −4.68768 | −0.152571 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −17.5253 | + | 17.5253i | −0.569796 | + | 0.569796i | ||||
\(947\) | 46.3059 | − | 33.6432i | 1.50474 | − | 1.09326i | 0.536292 | − | 0.844032i | \(-0.319825\pi\) |
0.968446 | − | 0.249224i | \(-0.0801755\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.93142 | + | 11.6411i | −0.192542 | + | 0.377885i | ||||
\(950\) | 6.56610 | + | 12.8867i | 0.213032 | + | 0.418099i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 15.4978i | 0.502287i | ||||||||
\(953\) | −20.8828 | − | 15.1723i | −0.676461 | − | 0.491478i | 0.195721 | − | 0.980660i | \(-0.437295\pi\) |
−0.872182 | + | 0.489182i | \(0.837295\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.47408 | − | 9.30696i | 0.0477000 | − | 0.301166i | ||||
\(956\) | −7.72953 | − | 3.93839i | −0.249991 | − | 0.127377i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.3848 | − | 3.07025i | −0.626294 | − | 0.0991953i | ||||
\(959\) | 0.228443 | − | 0.703076i | 0.00737682 | − | 0.0227035i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.47787 | + | 16.8592i | 0.176706 | + | 0.543844i | ||||
\(962\) | −5.68242 | + | 2.89534i | −0.183209 | + | 0.0933494i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.1979 | − | 3.96335i | −0.392869 | − | 0.127651i | ||||
\(965\) | 10.6073 | − | 5.40469i | 0.341461 | − | 0.173983i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.85597 | − | 49.6006i | −0.252631 | − | 1.59505i | −0.708967 | − | 0.705241i | \(-0.750839\pi\) |
0.456336 | − | 0.889807i | \(-0.349161\pi\) | |||||||
\(968\) | −1.05300 | + | 3.24081i | −0.0338448 | + | 0.104164i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.39475 | − | 2.39475i | −0.0768908 | − | 0.0768908i | ||||
\(971\) | 21.9048 | + | 11.1611i | 0.702960 | + | 0.358176i | 0.768655 | − | 0.639664i | \(-0.220926\pi\) |
−0.0656949 | + | 0.997840i | \(0.520926\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.28820 | − | 1.15434i | 0.233649 | − | 0.0370064i | ||||
\(974\) | −6.89771 | − | 5.01148i | −0.221017 | − | 0.160578i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.39440 | − | 10.1775i | 0.236689 | − | 0.325774i | ||||
\(977\) | 16.7259 | + | 32.8265i | 0.535110 | + | 1.05021i | 0.987386 | + | 0.158334i | \(0.0506124\pi\) |
−0.452275 | + | 0.891878i | \(0.649388\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.7918 | − | 35.4994i | −0.824310 | − | 1.13457i | ||||
\(980\) | 2.38816 | − | 1.73510i | 0.0762870 | − | 0.0554258i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −18.7831 | + | 6.10301i | −0.599394 | + | 0.194755i | ||||
\(983\) | −24.1327 | −0.769713 | −0.384857 | − | 0.922976i | \(-0.625749\pi\) | ||||
−0.384857 | + | 0.922976i | \(0.625749\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.3997 | 0.331361 | ||||||||
\(986\) | 12.4417 | − | 4.04256i | 0.396225 | − | 0.128741i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.4306 | − | 7.57825i | 0.331841 | − | 0.241096i | ||||
\(989\) | 5.69381 | + | 7.83686i | 0.181053 | + | 0.249198i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.15702 | − | 6.19601i | −0.100286 | − | 0.196823i | 0.835412 | − | 0.549624i | \(-0.185229\pi\) |
−0.935698 | + | 0.352802i | \(0.885229\pi\) | |||||||
\(992\) | 24.0345 | − | 33.0807i | 0.763097 | − | 1.05031i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.86262 | + | 1.35327i | 0.0590788 | + | 0.0429232i | ||||
\(995\) | 12.7954 | − | 2.02659i | 0.405642 | − | 0.0642473i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −29.1900 | − | 14.8731i | −0.924458 | − | 0.471035i | −0.0741065 | − | 0.997250i | \(-0.523610\pi\) |
−0.850351 | + | 0.526216i | \(0.823610\pi\) | |||||||
\(998\) | −6.67857 | − | 6.67857i | −0.211406 | − | 0.211406i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 369.2.u.a.289.1 | 24 | ||
3.2 | odd | 2 | 41.2.g.a.2.3 | ✓ | 24 | ||
12.11 | even | 2 | 656.2.bs.d.289.2 | 24 | |||
41.21 | even | 20 | inner | 369.2.u.a.226.1 | 24 | ||
123.29 | even | 40 | 1681.2.a.m.1.9 | 24 | |||
123.53 | even | 40 | 1681.2.a.m.1.10 | 24 | |||
123.62 | odd | 20 | 41.2.g.a.21.3 | yes | 24 | ||
492.431 | even | 20 | 656.2.bs.d.513.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.2.3 | ✓ | 24 | 3.2 | odd | 2 | ||
41.2.g.a.21.3 | yes | 24 | 123.62 | odd | 20 | ||
369.2.u.a.226.1 | 24 | 41.21 | even | 20 | inner | ||
369.2.u.a.289.1 | 24 | 1.1 | even | 1 | trivial | ||
656.2.bs.d.289.2 | 24 | 12.11 | even | 2 | |||
656.2.bs.d.513.2 | 24 | 492.431 | even | 20 | |||
1681.2.a.m.1.9 | 24 | 123.29 | even | 40 | |||
1681.2.a.m.1.10 | 24 | 123.53 | even | 40 |