Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [968,2,Mod(245,968)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(968, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("968.245");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 968 = 2^{3} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 968.o (of order \(10\), degree \(4\), not 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: | \(7.72951891566\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 88) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 245.7 | ||
Character | \(\chi\) | \(=\) | 968.245 |
Dual form | 968.2.o.h.565.7 |
$q$-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 \(\left(\mathbb{Z}/968\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(727\) | \(849\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.592588 | − | 1.28407i | 0.419023 | − | 0.907976i | ||||
\(3\) | −1.72166 | + | 0.559401i | −0.994001 | + | 0.322970i | −0.760466 | − | 0.649378i | \(-0.775029\pi\) |
−0.233535 | + | 0.972348i | \(0.575029\pi\) | |||||||
\(4\) | −1.29768 | − | 1.52185i | −0.648840 | − | 0.760925i | ||||
\(5\) | 0.166026 | − | 0.228516i | 0.0742492 | − | 0.102195i | −0.770277 | − | 0.637709i | \(-0.779882\pi\) |
0.844526 | + | 0.535514i | \(0.179882\pi\) | |||||||
\(6\) | −0.301923 | + | 2.54223i | −0.123260 | + | 1.03786i | ||||
\(7\) | 1.18953 | − | 3.66098i | 0.449599 | − | 1.38372i | −0.427763 | − | 0.903891i | \(-0.640698\pi\) |
0.877361 | − | 0.479831i | \(-0.159302\pi\) | |||||||
\(8\) | −2.72315 | + | 0.764484i | −0.962780 | + | 0.270286i | ||||
\(9\) | 0.224131 | − | 0.162841i | 0.0747103 | − | 0.0542802i | ||||
\(10\) | −0.195045 | − | 0.348605i | −0.0616787 | − | 0.110239i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.08549 | + | 1.89418i | 0.890703 | + | 0.546804i | ||||
\(13\) | −1.08704 | − | 1.49619i | −0.301491 | − | 0.414967i | 0.631213 | − | 0.775610i | \(-0.282557\pi\) |
−0.932704 | + | 0.360643i | \(0.882557\pi\) | |||||||
\(14\) | −3.99607 | − | 3.69689i | −1.06799 | − | 0.988036i | ||||
\(15\) | −0.158009 | + | 0.486301i | −0.0407977 | + | 0.125562i | ||||
\(16\) | −0.632055 | + | 3.94975i | −0.158014 | + | 0.987437i | ||||
\(17\) | −2.95471 | − | 2.14672i | −0.716622 | − | 0.520657i | 0.168681 | − | 0.985671i | \(-0.446049\pi\) |
−0.885303 | + | 0.465014i | \(0.846049\pi\) | |||||||
\(18\) | −0.0762818 | − | 0.384297i | −0.0179798 | − | 0.0905798i | ||||
\(19\) | 4.91273 | − | 1.59624i | 1.12706 | − | 0.366203i | 0.314601 | − | 0.949224i | \(-0.398129\pi\) |
0.812457 | + | 0.583021i | \(0.198129\pi\) | |||||||
\(20\) | −0.563215 | + | 0.0438729i | −0.125939 | + | 0.00981028i | ||||
\(21\) | 6.96839i | 1.52063i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.05359 | −0.428204 | −0.214102 | − | 0.976811i | \(-0.568682\pi\) | ||||
−0.214102 | + | 0.976811i | \(0.568682\pi\) | |||||||
\(24\) | 4.26069 | − | 2.83952i | 0.869710 | − | 0.579614i | ||||
\(25\) | 1.52043 | + | 4.67940i | 0.304086 | + | 0.935881i | ||||
\(26\) | −2.56538 | + | 0.509219i | −0.503112 | + | 0.0998661i | ||||
\(27\) | 2.89735 | − | 3.98786i | 0.557595 | − | 0.767464i | ||||
\(28\) | −7.11509 | + | 2.94050i | −1.34463 | + | 0.555703i | ||||
\(29\) | −5.78076 | − | 1.87828i | −1.07346 | − | 0.348788i | −0.281626 | − | 0.959524i | \(-0.590874\pi\) |
−0.791835 | + | 0.610736i | \(0.790874\pi\) | |||||||
\(30\) | 0.530812 | + | 0.491071i | 0.0969125 | + | 0.0896569i | ||||
\(31\) | −7.17709 | + | 5.21446i | −1.28904 | + | 0.936545i | −0.999786 | − | 0.0207064i | \(-0.993408\pi\) |
−0.289258 | + | 0.957251i | \(0.593408\pi\) | |||||||
\(32\) | 4.69721 | + | 3.15218i | 0.830357 | + | 0.557231i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.50747 | + | 2.52194i | −0.773025 | + | 0.432509i | ||||
\(35\) | −0.639099 | − | 0.879645i | −0.108028 | − | 0.148687i | ||||
\(36\) | −0.538669 | − | 0.129779i | −0.0897782 | − | 0.0216298i | ||||
\(37\) | −7.51618 | − | 2.44216i | −1.23565 | − | 0.401488i | −0.382894 | − | 0.923792i | \(-0.625072\pi\) |
−0.852759 | + | 0.522305i | \(0.825072\pi\) | |||||||
\(38\) | 0.861534 | − | 7.25422i | 0.139759 | − | 1.17679i | ||||
\(39\) | 2.70848 | + | 1.96783i | 0.433705 | + | 0.315105i | ||||
\(40\) | −0.277419 | + | 0.749207i | −0.0438637 | + | 0.118460i | ||||
\(41\) | 0.131651 | + | 0.405179i | 0.0205604 | + | 0.0632784i | 0.960810 | − | 0.277207i | \(-0.0894087\pi\) |
−0.940250 | + | 0.340485i | \(0.889409\pi\) | |||||||
\(42\) | 8.94791 | + | 4.12938i | 1.38069 | + | 0.637178i | ||||
\(43\) | 11.3827i | 1.73585i | 0.496699 | + | 0.867923i | \(0.334545\pi\) | ||||
−0.496699 | + | 0.867923i | \(0.665455\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | − | 0.0782532i | − | 0.0116653i | ||||||
\(46\) | −1.21693 | + | 2.63696i | −0.179427 | + | 0.388799i | ||||
\(47\) | −0.345791 | − | 1.06424i | −0.0504388 | − | 0.155235i | 0.922665 | − | 0.385604i | \(-0.126007\pi\) |
−0.973103 | + | 0.230369i | \(0.926007\pi\) | |||||||
\(48\) | −1.12131 | − | 7.15369i | −0.161847 | − | 1.03255i | ||||
\(49\) | −6.32471 | − | 4.59517i | −0.903531 | − | 0.656453i | ||||
\(50\) | 6.90968 | + | 0.820616i | 0.977176 | + | 0.116053i | ||||
\(51\) | 6.28788 | + | 2.04306i | 0.880480 | + | 0.286085i | ||||
\(52\) | −0.866337 | + | 3.59588i | −0.120139 | + | 0.498659i | ||||
\(53\) | −5.28559 | − | 7.27499i | −0.726031 | − | 0.999296i | −0.999302 | − | 0.0373591i | \(-0.988105\pi\) |
0.273271 | − | 0.961937i | \(-0.411895\pi\) | |||||||
\(54\) | −3.40376 | − | 6.08356i | −0.463193 | − | 0.827867i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.440498 | + | 10.8788i | −0.0588640 | + | 1.45374i | ||||
\(57\) | −7.56511 | + | 5.49638i | −1.00202 | + | 0.728013i | ||||
\(58\) | −5.83746 | + | 6.30986i | −0.766496 | + | 0.828526i | ||||
\(59\) | −0.883782 | − | 0.287158i | −0.115059 | − | 0.0373848i | 0.250922 | − | 0.968007i | \(-0.419266\pi\) |
−0.365980 | + | 0.930623i | \(0.619266\pi\) | |||||||
\(60\) | 0.945123 | − | 0.390598i | 0.122015 | − | 0.0504259i | ||||
\(61\) | −5.65480 | + | 7.78316i | −0.724023 | + | 0.996532i | 0.275358 | + | 0.961342i | \(0.411204\pi\) |
−0.999381 | + | 0.0351902i | \(0.988796\pi\) | |||||||
\(62\) | 2.44269 | + | 12.3059i | 0.310221 | + | 1.56285i | ||||
\(63\) | −0.329547 | − | 1.01424i | −0.0415191 | − | 0.127783i | ||||
\(64\) | 6.83113 | − | 4.16361i | 0.853891 | − | 0.520452i | ||||
\(65\) | −0.522379 | −0.0647932 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.364342i | − | 0.0445114i | −0.999752 | − | 0.0222557i | \(-0.992915\pi\) | ||
0.999752 | − | 0.0222557i | \(-0.00708480\pi\) | |||||||
\(68\) | 0.567277 | + | 7.28238i | 0.0687925 | + | 0.883119i | ||||
\(69\) | 3.53559 | − | 1.14878i | 0.425635 | − | 0.138297i | ||||
\(70\) | −1.50825 | + | 0.299383i | −0.180270 | + | 0.0357831i | ||||
\(71\) | 5.55029 | + | 4.03252i | 0.658698 | + | 0.478572i | 0.866223 | − | 0.499658i | \(-0.166541\pi\) |
−0.207525 | + | 0.978230i | \(0.566541\pi\) | |||||||
\(72\) | −0.485854 | + | 0.614784i | −0.0572584 | + | 0.0724530i | ||||
\(73\) | −3.04124 | + | 9.35999i | −0.355951 | + | 1.09550i | 0.599506 | + | 0.800371i | \(0.295364\pi\) |
−0.955456 | + | 0.295133i | \(0.904636\pi\) | |||||||
\(74\) | −7.58990 | + | 8.20412i | −0.882308 | + | 0.953710i | ||||
\(75\) | −5.23533 | − | 7.20581i | −0.604523 | − | 0.832055i | ||||
\(76\) | −8.80440 | − | 5.40503i | −1.00993 | − | 0.620000i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.13185 | − | 2.31178i | 0.467840 | − | 0.261757i | ||||
\(79\) | 1.67257 | − | 1.21520i | 0.188179 | − | 0.136720i | −0.489707 | − | 0.871887i | \(-0.662896\pi\) |
0.677886 | + | 0.735167i | \(0.262896\pi\) | |||||||
\(80\) | 0.797641 | + | 0.800197i | 0.0891790 | + | 0.0894647i | ||||
\(81\) | −3.01427 | + | 9.27696i | −0.334918 | + | 1.03077i | ||||
\(82\) | 0.598294 | + | 0.0710553i | 0.0660705 | + | 0.00784674i | ||||
\(83\) | 8.20056 | − | 11.2871i | 0.900129 | − | 1.23892i | −0.0702985 | − | 0.997526i | \(-0.522395\pi\) |
0.970427 | − | 0.241395i | \(-0.0776048\pi\) | |||||||
\(84\) | 10.6048 | − | 9.04274i | 1.15708 | − | 0.986644i | ||||
\(85\) | −0.981119 | + | 0.318785i | −0.106417 | + | 0.0345771i | ||||
\(86\) | 14.6162 | + | 6.74525i | 1.57611 | + | 0.727359i | ||||
\(87\) | 11.0032 | 1.17967 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −16.7818 | −1.77886 | −0.889432 | − | 0.457067i | \(-0.848900\pi\) | ||||
−0.889432 | + | 0.457067i | \(0.848900\pi\) | |||||||
\(90\) | −0.100483 | − | 0.0463719i | −0.0105918 | − | 0.00488803i | ||||
\(91\) | −6.77057 | + | 2.19989i | −0.709749 | + | 0.230611i | ||||
\(92\) | 2.66491 | + | 3.12526i | 0.277836 | + | 0.325831i | ||||
\(93\) | 9.43953 | − | 12.9924i | 0.978834 | − | 1.34725i | ||||
\(94\) | −1.57147 | − | 0.186632i | −0.162084 | − | 0.0192497i | ||||
\(95\) | 0.450876 | − | 1.38765i | 0.0462589 | − | 0.142370i | ||||
\(96\) | −9.85033 | − | 2.79935i | −1.00534 | − | 0.285707i | ||||
\(97\) | 9.39119 | − | 6.82310i | 0.953531 | − | 0.692781i | 0.00189154 | − | 0.999998i | \(-0.499398\pi\) |
0.951639 | + | 0.307217i | \(0.0993979\pi\) | |||||||
\(98\) | −9.64848 | + | 5.39834i | −0.974644 | + | 0.545315i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.14832 | − | 8.38623i | 0.514832 | − | 0.838623i | ||||
\(101\) | −1.86520 | − | 2.56723i | −0.185594 | − | 0.255449i | 0.706074 | − | 0.708138i | \(-0.250465\pi\) |
−0.891668 | + | 0.452689i | \(0.850465\pi\) | |||||||
\(102\) | 6.34955 | − | 6.86340i | 0.628700 | − | 0.679578i | ||||
\(103\) | 1.76102 | − | 5.41986i | 0.173518 | − | 0.534034i | −0.826044 | − | 0.563605i | \(-0.809414\pi\) |
0.999563 | + | 0.0295708i | \(0.00941404\pi\) | |||||||
\(104\) | 4.10399 | + | 3.24332i | 0.402430 | + | 0.318033i | ||||
\(105\) | 1.59239 | + | 1.15694i | 0.155401 | + | 0.112905i | ||||
\(106\) | −12.4738 | + | 2.47600i | −1.21156 | + | 0.240491i | ||||
\(107\) | 2.10863 | − | 0.685135i | 0.203849 | − | 0.0662345i | −0.205313 | − | 0.978696i | \(-0.565821\pi\) |
0.409162 | + | 0.912462i | \(0.365821\pi\) | |||||||
\(108\) | −9.82875 | + | 0.765632i | −0.945772 | + | 0.0736730i | ||||
\(109\) | 0.360043i | 0.0344859i | 0.999851 | + | 0.0172429i | \(0.00548887\pi\) | ||||
−0.999851 | + | 0.0172429i | \(0.994511\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.3064 | 1.35791 | ||||||||
\(112\) | 13.7081 | + | 7.01227i | 1.29530 | + | 0.662597i | ||||
\(113\) | −2.12587 | − | 6.54276i | −0.199985 | − | 0.615491i | −0.999882 | − | 0.0153537i | \(-0.995113\pi\) |
0.799897 | − | 0.600137i | \(-0.204887\pi\) | |||||||
\(114\) | 2.57475 | + | 12.9712i | 0.241147 | + | 1.21487i | ||||
\(115\) | −0.340951 | + | 0.469278i | −0.0317938 | + | 0.0437604i | ||||
\(116\) | 4.64311 | + | 11.2349i | 0.431102 | + | 1.04313i | ||||
\(117\) | −0.487279 | − | 0.158327i | −0.0450490 | − | 0.0146373i | ||||
\(118\) | −0.892450 | + | 0.964673i | −0.0821567 | + | 0.0888054i | ||||
\(119\) | −11.3738 | + | 8.26356i | −1.04264 | + | 0.757520i | ||||
\(120\) | 0.0585129 | − | 1.44507i | 0.00534147 | − | 0.131916i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 6.64317 | + | 11.8734i | 0.601445 | + | 1.07496i | ||||
\(123\) | −0.453315 | − | 0.623935i | −0.0408741 | − | 0.0562583i | ||||
\(124\) | 17.2492 | + | 4.15575i | 1.54902 | + | 0.373198i | ||||
\(125\) | 2.66493 | + | 0.865888i | 0.238359 | + | 0.0774474i | ||||
\(126\) | −1.49765 | − | 0.177865i | −0.133421 | − | 0.0158455i | ||||
\(127\) | −11.8027 | − | 8.57515i | −1.04732 | − | 0.760921i | −0.0756175 | − | 0.997137i | \(-0.524093\pi\) |
−0.971701 | + | 0.236216i | \(0.924093\pi\) | |||||||
\(128\) | −1.29833 | − | 11.2390i | −0.114758 | − | 0.993394i | ||||
\(129\) | −6.36749 | − | 19.5971i | −0.560627 | − | 1.72543i | ||||
\(130\) | −0.309556 | + | 0.670772i | −0.0271498 | + | 0.0588306i | ||||
\(131\) | 1.48163i | 0.129451i | 0.997903 | + | 0.0647253i | \(0.0206171\pi\) | ||||
−0.997903 | + | 0.0647253i | \(0.979383\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 19.8842i | − | 1.72418i | ||||||
\(134\) | −0.467841 | − | 0.215905i | −0.0404153 | − | 0.0186513i | ||||
\(135\) | −0.430252 | − | 1.32418i | −0.0370302 | − | 0.113967i | ||||
\(136\) | 9.68726 | + | 3.58703i | 0.830676 | + | 0.307585i | ||||
\(137\) | −12.4070 | − | 9.01419i | −1.06000 | − | 0.770134i | −0.0859107 | − | 0.996303i | \(-0.527380\pi\) |
−0.974088 | + | 0.226169i | \(0.927380\pi\) | |||||||
\(138\) | 0.620028 | − | 5.22070i | 0.0527803 | − | 0.444416i | ||||
\(139\) | 8.02394 | + | 2.60714i | 0.680582 | + | 0.221134i | 0.628850 | − | 0.777527i | \(-0.283526\pi\) |
0.0517317 | + | 0.998661i | \(0.483526\pi\) | |||||||
\(140\) | −0.509341 | + | 2.11411i | −0.0430472 | + | 0.178675i | ||||
\(141\) | 1.19067 | + | 1.63882i | 0.100272 | + | 0.138013i | ||||
\(142\) | 8.46707 | − | 4.73734i | 0.710541 | − | 0.397549i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0.501516 | + | 0.988185i | 0.0417930 | + | 0.0823487i | ||||
\(145\) | −1.38898 | + | 1.00915i | −0.115348 | + | 0.0838053i | ||||
\(146\) | 10.2167 | + | 9.45179i | 0.845539 | + | 0.782236i | ||||
\(147\) | 13.4595 | + | 4.37327i | 1.11012 | + | 0.360701i | ||||
\(148\) | 6.03700 | + | 14.6076i | 0.496238 | + | 1.20074i | ||||
\(149\) | 11.6558 | − | 16.0428i | 0.954876 | − | 1.31427i | 0.00554940 | − | 0.999985i | \(-0.498234\pi\) |
0.949327 | − | 0.314290i | \(-0.101766\pi\) | |||||||
\(150\) | −12.3552 | + | 2.45246i | −1.00879 | + | 0.200243i | ||||
\(151\) | −3.99068 | − | 12.2821i | −0.324757 | − | 0.999500i | −0.971550 | − | 0.236834i | \(-0.923890\pi\) |
0.646793 | − | 0.762666i | \(-0.276110\pi\) | |||||||
\(152\) | −12.1578 | + | 8.10252i | −0.986130 | + | 0.657201i | ||||
\(153\) | −1.01182 | −0.0818004 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.50581i | 0.201272i | ||||||||
\(156\) | −0.520004 | − | 6.67552i | −0.0416336 | − | 0.534469i | ||||
\(157\) | −4.43377 | + | 1.44062i | −0.353853 | + | 0.114974i | −0.480549 | − | 0.876968i | \(-0.659563\pi\) |
0.126696 | + | 0.991942i | \(0.459563\pi\) | |||||||
\(158\) | −0.569252 | − | 2.86781i | −0.0452872 | − | 0.228151i | ||||
\(159\) | 13.1696 | + | 9.56829i | 1.04442 | + | 0.758815i | ||||
\(160\) | 1.50018 | − | 0.550042i | 0.118600 | − | 0.0434846i | ||||
\(161\) | −2.44280 | + | 7.51818i | −0.192520 | + | 0.592515i | ||||
\(162\) | 10.1261 | + | 9.36795i | 0.795579 | + | 0.736015i | ||||
\(163\) | −6.48131 | − | 8.92076i | −0.507655 | − | 0.698728i | 0.475866 | − | 0.879518i | \(-0.342135\pi\) |
−0.983522 | + | 0.180790i | \(0.942135\pi\) | |||||||
\(164\) | 0.445782 | − | 0.726145i | 0.0348097 | − | 0.0567024i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.63390 | − | 17.2187i | −0.747735 | − | 1.33643i | ||||
\(167\) | 9.42937 | − | 6.85084i | 0.729667 | − | 0.530134i | −0.159791 | − | 0.987151i | \(-0.551082\pi\) |
0.889458 | + | 0.457017i | \(0.151082\pi\) | |||||||
\(168\) | −5.32722 | − | 18.9760i | −0.411004 | − | 1.46403i | ||||
\(169\) | 2.96031 | − | 9.11090i | 0.227716 | − | 0.700839i | ||||
\(170\) | −0.172056 | + | 1.44874i | −0.0131961 | + | 0.111113i | ||||
\(171\) | 0.841162 | − | 1.15776i | 0.0643253 | − | 0.0885361i | ||||
\(172\) | 17.3228 | − | 14.7711i | 1.32085 | − | 1.12629i | ||||
\(173\) | 12.1904 | − | 3.96091i | 0.926821 | − | 0.301142i | 0.193559 | − | 0.981089i | \(-0.437997\pi\) |
0.733262 | + | 0.679946i | \(0.237997\pi\) | |||||||
\(174\) | 6.52037 | − | 14.1289i | 0.494308 | − | 1.07111i | ||||
\(175\) | 18.9398 | 1.43172 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.68221 | 0.126443 | ||||||||
\(178\) | −9.94467 | + | 21.5490i | −0.745385 | + | 1.61517i | ||||
\(179\) | 2.11009 | − | 0.685608i | 0.157715 | − | 0.0512448i | −0.229095 | − | 0.973404i | \(-0.573577\pi\) |
0.386811 | + | 0.922159i | \(0.373577\pi\) | |||||||
\(180\) | −0.119090 | + | 0.101548i | −0.00887642 | + | 0.00756891i | ||||
\(181\) | −5.58267 | + | 7.68389i | −0.414957 | + | 0.571139i | −0.964419 | − | 0.264380i | \(-0.914833\pi\) |
0.549462 | + | 0.835519i | \(0.314833\pi\) | |||||||
\(182\) | −1.18734 | + | 9.99753i | −0.0880114 | + | 0.741066i | ||||
\(183\) | 5.38173 | − | 16.5633i | 0.397829 | − | 1.22439i | ||||
\(184\) | 5.59225 | − | 1.56994i | 0.412266 | − | 0.115737i | ||||
\(185\) | −1.80595 | + | 1.31210i | −0.132776 | + | 0.0964677i | ||||
\(186\) | −11.0894 | − | 19.8202i | −0.813116 | − | 1.45329i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −1.17088 | + | 1.90728i | −0.0853953 | + | 0.139103i | ||||
\(189\) | −11.1530 | − | 15.3508i | −0.811262 | − | 1.11661i | ||||
\(190\) | −1.51466 | − | 1.40126i | −0.109885 | − | 0.101658i | ||||
\(191\) | 4.78197 | − | 14.7174i | 0.346011 | − | 1.06491i | −0.615029 | − | 0.788504i | \(-0.710856\pi\) |
0.961040 | − | 0.276408i | \(-0.0891442\pi\) | |||||||
\(192\) | −9.43175 | + | 10.9897i | −0.680678 | + | 0.793111i | ||||
\(193\) | 6.35768 | + | 4.61913i | 0.457636 | + | 0.332492i | 0.792603 | − | 0.609738i | \(-0.208725\pi\) |
−0.334967 | + | 0.942230i | \(0.608725\pi\) | |||||||
\(194\) | −3.19624 | − | 16.1022i | −0.229477 | − | 1.15607i | ||||
\(195\) | 0.899359 | − | 0.292220i | 0.0644045 | − | 0.0209263i | ||||
\(196\) | 1.21429 | + | 15.5883i | 0.0867348 | + | 1.11345i | ||||
\(197\) | − | 21.1887i | − | 1.50963i | −0.655938 | − | 0.754815i | \(-0.727727\pi\) | ||
0.655938 | − | 0.754815i | \(-0.272273\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.22753 | −0.370570 | −0.185285 | − | 0.982685i | \(-0.559321\pi\) | ||||
−0.185285 | + | 0.982685i | \(0.559321\pi\) | |||||||
\(200\) | −7.71769 | − | 11.5804i | −0.545723 | − | 0.818857i | ||||
\(201\) | 0.203813 | + | 0.627273i | 0.0143759 | + | 0.0442444i | ||||
\(202\) | −4.40180 | + | 0.873743i | −0.309710 | + | 0.0614763i | ||||
\(203\) | −13.7527 | + | 18.9290i | −0.965253 | + | 1.32856i | ||||
\(204\) | −5.05043 | − | 12.2204i | −0.353601 | − | 0.855603i | ||||
\(205\) | 0.114447 | + | 0.0371862i | 0.00799334 | + | 0.00259719i | ||||
\(206\) | −5.91592 | − | 5.47301i | −0.412182 | − | 0.381323i | ||||
\(207\) | −0.460274 | + | 0.334409i | −0.0319912 | + | 0.0232430i | ||||
\(208\) | 6.59662 | − | 3.34787i | 0.457394 | − | 0.232133i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.42922 | − | 1.35915i | 0.167632 | − | 0.0937904i | ||||
\(211\) | 3.64208 | + | 5.01290i | 0.250731 | + | 0.345102i | 0.915767 | − | 0.401709i | \(-0.131584\pi\) |
−0.665036 | + | 0.746811i | \(0.731584\pi\) | |||||||
\(212\) | −4.21244 | + | 17.4845i | −0.289312 | + | 1.20084i | ||||
\(213\) | −11.8115 | − | 3.83779i | −0.809311 | − | 0.262961i | ||||
\(214\) | 0.369785 | − | 3.11363i | 0.0252780 | − | 0.212844i | ||||
\(215\) | 2.60112 | + | 1.88983i | 0.177395 | + | 0.128885i | ||||
\(216\) | −4.84127 | + | 13.0745i | −0.329407 | + | 0.889609i | ||||
\(217\) | 10.5527 | + | 32.4779i | 0.716366 | + | 2.20475i | ||||
\(218\) | 0.462321 | + | 0.213357i | 0.0313124 | + | 0.0144504i | ||||
\(219\) | − | 17.8160i | − | 1.20389i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.75437i | 0.454348i | ||||||||
\(222\) | 8.47783 | − | 18.3705i | 0.568994 | − | 1.23295i | ||||
\(223\) | −0.192370 | − | 0.592055i | −0.0128821 | − | 0.0396470i | 0.944409 | − | 0.328773i | \(-0.106635\pi\) |
−0.957291 | + | 0.289126i | \(0.906635\pi\) | |||||||
\(224\) | 17.1275 | − | 13.4468i | 1.14438 | − | 0.898453i | ||||
\(225\) | 1.10277 | + | 0.801211i | 0.0735182 | + | 0.0534141i | ||||
\(226\) | −9.66114 | − | 1.14739i | −0.642649 | − | 0.0763231i | ||||
\(227\) | −6.90648 | − | 2.24405i | −0.458399 | − | 0.148943i | 0.0707096 | − | 0.997497i | \(-0.477474\pi\) |
−0.529109 | + | 0.848554i | \(0.677474\pi\) | |||||||
\(228\) | 18.1818 | + | 4.38043i | 1.20412 | + | 0.290101i | ||||
\(229\) | 13.0431 | + | 17.9523i | 0.861915 | + | 1.18632i | 0.981110 | + | 0.193453i | \(0.0619686\pi\) |
−0.119195 | + | 0.992871i | \(0.538031\pi\) | |||||||
\(230\) | 0.400544 | + | 0.715894i | 0.0264111 | + | 0.0472046i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.1778 | + | 0.695555i | 1.12778 | + | 0.0456654i | ||||
\(233\) | −4.00335 | + | 2.90860i | −0.262268 | + | 0.190549i | −0.711146 | − | 0.703044i | \(-0.751824\pi\) |
0.448878 | + | 0.893593i | \(0.351824\pi\) | |||||||
\(234\) | −0.492059 | + | 0.531879i | −0.0321669 | + | 0.0347700i | ||||
\(235\) | −0.300605 | − | 0.0976725i | −0.0196093 | − | 0.00637145i | ||||
\(236\) | 0.709854 | + | 1.71762i | 0.0462076 | + | 0.111808i | ||||
\(237\) | −2.19982 | + | 3.02779i | −0.142894 | + | 0.196676i | ||||
\(238\) | 3.87102 | + | 19.5017i | 0.250921 | + | 1.26411i | ||||
\(239\) | 3.29910 | + | 10.1536i | 0.213401 | + | 0.656781i | 0.999263 | + | 0.0383794i | \(0.0122196\pi\) |
−0.785862 | + | 0.618402i | \(0.787780\pi\) | |||||||
\(240\) | −1.82090 | − | 0.931465i | −0.117538 | − | 0.0601258i | ||||
\(241\) | −7.14469 | −0.460230 | −0.230115 | − | 0.973163i | \(-0.573910\pi\) | ||||
−0.230115 | + | 0.973163i | \(0.573910\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 2.87016i | − | 0.184121i | ||||||
\(244\) | 19.1829 | − | 1.49430i | 1.22806 | − | 0.0956625i | ||||
\(245\) | −2.10014 | + | 0.682376i | −0.134173 | + | 0.0435954i | ||||
\(246\) | −1.06981 | + | 0.212353i | −0.0682084 | + | 0.0135391i | ||||
\(247\) | −7.72863 | − | 5.61517i | −0.491761 | − | 0.357285i | ||||
\(248\) | 15.5579 | − | 19.6865i | 0.987931 | − | 1.25010i | ||||
\(249\) | −7.80456 | + | 24.0200i | −0.494594 | + | 1.52220i | ||||
\(250\) | 2.69107 | − | 2.90885i | 0.170198 | − | 0.183972i | ||||
\(251\) | −7.61237 | − | 10.4775i | −0.480489 | − | 0.661336i | 0.498110 | − | 0.867114i | \(-0.334028\pi\) |
−0.978599 | + | 0.205778i | \(0.934028\pi\) | |||||||
\(252\) | −1.11588 | + | 1.81768i | −0.0702937 | + | 0.114503i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −18.0052 | + | 10.0740i | −1.12975 | + | 0.632096i | ||||
\(255\) | 1.51082 | − | 1.09768i | 0.0946115 | − | 0.0687393i | ||||
\(256\) | −15.2010 | − | 4.99292i | −0.950063 | − | 0.312057i | ||||
\(257\) | −8.50408 | + | 26.1729i | −0.530470 | + | 1.63262i | 0.222770 | + | 0.974871i | \(0.428490\pi\) |
−0.753239 | + | 0.657747i | \(0.771510\pi\) | |||||||
\(258\) | −28.9374 | − | 3.43670i | −1.80156 | − | 0.213960i | ||||
\(259\) | −17.8814 | + | 24.6116i | −1.11110 | + | 1.52929i | ||||
\(260\) | 0.677881 | + | 0.794983i | 0.0420404 | + | 0.0493027i | ||||
\(261\) | −1.60151 | + | 0.520362i | −0.0991309 | + | 0.0322096i | ||||
\(262\) | 1.90252 | + | 0.877995i | 0.117538 | + | 0.0542427i | ||||
\(263\) | −28.4402 | −1.75370 | −0.876848 | − | 0.480767i | \(-0.840358\pi\) | ||||
−0.876848 | + | 0.480767i | \(0.840358\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.53999 | −0.156031 | ||||||||
\(266\) | −25.5328 | − | 11.7831i | −1.56551 | − | 0.722471i | ||||
\(267\) | 28.8925 | − | 9.38774i | 1.76819 | − | 0.574521i | ||||
\(268\) | −0.554474 | + | 0.472799i | −0.0338699 | + | 0.0288808i | ||||
\(269\) | −5.55464 | + | 7.64530i | −0.338672 | + | 0.466142i | −0.944053 | − | 0.329794i | \(-0.893021\pi\) |
0.605381 | + | 0.795936i | \(0.293021\pi\) | |||||||
\(270\) | −1.95530 | − | 0.232218i | −0.118996 | − | 0.0141323i | ||||
\(271\) | 5.01363 | − | 15.4304i | 0.304557 | − | 0.937329i | −0.675286 | − | 0.737556i | \(-0.735980\pi\) |
0.979842 | − | 0.199773i | \(-0.0640204\pi\) | |||||||
\(272\) | 10.3466 | − | 10.3135i | 0.627352 | − | 0.625349i | ||||
\(273\) | 10.4260 | − | 7.57493i | 0.631010 | − | 0.458456i | ||||
\(274\) | −18.9271 | + | 10.5897i | −1.14343 | + | 0.639749i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.33634 | − | 3.88989i | −0.381403 | − | 0.234144i | ||||
\(277\) | 8.93831 | + | 12.3025i | 0.537051 | + | 0.739187i | 0.988184 | − | 0.153269i | \(-0.0489802\pi\) |
−0.451134 | + | 0.892456i | \(0.648980\pi\) | |||||||
\(278\) | 8.10264 | − | 8.75836i | 0.485964 | − | 0.525291i | ||||
\(279\) | −0.759481 | + | 2.33744i | −0.0454690 | + | 0.139939i | ||||
\(280\) | 2.41284 | + | 1.90683i | 0.144195 | + | 0.113955i | ||||
\(281\) | −2.67320 | − | 1.94219i | −0.159470 | − | 0.115862i | 0.505189 | − | 0.863009i | \(-0.331423\pi\) |
−0.664658 | + | 0.747147i | \(0.731423\pi\) | |||||||
\(282\) | 2.80993 | − | 0.557763i | 0.167329 | − | 0.0332143i | ||||
\(283\) | 7.05016 | − | 2.29074i | 0.419088 | − | 0.136170i | −0.0918790 | − | 0.995770i | \(-0.529287\pi\) |
0.510967 | + | 0.859600i | \(0.329287\pi\) | |||||||
\(284\) | −1.06560 | − | 13.6796i | −0.0632320 | − | 0.811736i | ||||
\(285\) | 2.64129i | 0.156457i | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.63996 | 0.0968036 | ||||||||
\(288\) | 1.56609 | − | 0.0583966i | 0.0922829 | − | 0.00344105i | ||||
\(289\) | −1.13139 | − | 3.48207i | −0.0665526 | − | 0.204828i | ||||
\(290\) | 0.472731 | + | 2.38155i | 0.0277597 | + | 0.139850i | ||||
\(291\) | −12.3516 | + | 17.0005i | −0.724063 | + | 0.996587i | ||||
\(292\) | 18.1911 | − | 7.51795i | 1.06455 | − | 0.439955i | ||||
\(293\) | −28.5829 | − | 9.28716i | −1.66983 | − | 0.542561i | −0.686936 | − | 0.726718i | \(-0.741045\pi\) |
−0.982897 | + | 0.184157i | \(0.941045\pi\) | |||||||
\(294\) | 13.5916 | − | 14.6915i | 0.792676 | − | 0.856824i | ||||
\(295\) | −0.212351 | + | 0.154282i | −0.0123636 | + | 0.00898266i | ||||
\(296\) | 22.3347 | + | 0.904365i | 1.29818 | + | 0.0525651i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.6930 | − | 24.4736i | −0.793214 | − | 1.41772i | ||||
\(299\) | 2.23234 | + | 3.07256i | 0.129100 | + | 0.177691i | ||||
\(300\) | −4.17238 | + | 17.3182i | −0.240893 | + | 0.999868i | ||||
\(301\) | 41.6719 | + | 13.5400i | 2.40193 | + | 0.780433i | ||||
\(302\) | −18.1359 | − | 2.15388i | −1.04360 | − | 0.123942i | ||||
\(303\) | 4.64735 | + | 3.37650i | 0.266983 | + | 0.193975i | ||||
\(304\) | 3.19964 | + | 20.4130i | 0.183512 | + | 1.17076i | ||||
\(305\) | 0.839729 | + | 2.58442i | 0.0480827 | + | 0.147983i | ||||
\(306\) | −0.599589 | + | 1.29924i | −0.0342762 | + | 0.0742728i | ||||
\(307\) | 8.33694i | 0.475814i | 0.971288 | + | 0.237907i | \(0.0764614\pi\) | ||||
−0.971288 | + | 0.237907i | \(0.923539\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.3163i | 0.586872i | ||||||||
\(310\) | 3.21765 | + | 1.48492i | 0.182750 | + | 0.0843375i | ||||
\(311\) | 0.394154 | + | 1.21308i | 0.0223504 | + | 0.0687876i | 0.961610 | − | 0.274421i | \(-0.0884862\pi\) |
−0.939259 | + | 0.343209i | \(0.888486\pi\) | |||||||
\(312\) | −8.87999 | − | 3.28811i | −0.502730 | − | 0.186152i | ||||
\(313\) | 5.18328 | + | 3.76587i | 0.292976 | + | 0.212860i | 0.724557 | − | 0.689214i | \(-0.242044\pi\) |
−0.431581 | + | 0.902074i | \(0.642044\pi\) | |||||||
\(314\) | −0.777539 | + | 6.54697i | −0.0438791 | + | 0.369467i | ||||
\(315\) | −0.286484 | − | 0.0930842i | −0.0161415 | − | 0.00524470i | ||||
\(316\) | −4.01981 | − | 0.968471i | −0.226132 | − | 0.0544807i | ||||
\(317\) | 11.2526 | + | 15.4878i | 0.632007 | + | 0.869884i | 0.998158 | − | 0.0606721i | \(-0.0193244\pi\) |
−0.366150 | + | 0.930556i | \(0.619324\pi\) | |||||||
\(318\) | 20.0905 | − | 11.2407i | 1.12662 | − | 0.630346i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0.182696 | − | 2.25229i | 0.0102130 | − | 0.125907i | ||||
\(321\) | −3.24708 | + | 2.35914i | −0.181234 | + | 0.131674i | ||||
\(322\) | 8.20630 | + | 7.59191i | 0.457319 | + | 0.423081i | ||||
\(323\) | −17.9424 | − | 5.82984i | −0.998342 | − | 0.324381i | ||||
\(324\) | 18.0297 | − | 7.45126i | 1.00165 | − | 0.413959i | ||||
\(325\) | 5.34848 | − | 7.36155i | 0.296680 | − | 0.408346i | ||||
\(326\) | −15.2956 | + | 3.03613i | −0.847147 | + | 0.168156i | ||||
\(327\) | −0.201409 | − | 0.619872i | −0.0111379 | − | 0.0342790i | ||||
\(328\) | −0.668258 | − | 1.00272i | −0.0368984 | − | 0.0553660i | ||||
\(329\) | −4.30748 | −0.237479 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 5.71716i | − | 0.314243i | −0.987579 | − | 0.157122i | \(-0.949778\pi\) | ||
0.987579 | − | 0.157122i | \(-0.0502215\pi\) | |||||||
\(332\) | −27.8190 | + | 2.16702i | −1.52676 | + | 0.118931i | ||||
\(333\) | −2.08229 | + | 0.676577i | −0.114109 | + | 0.0370762i | ||||
\(334\) | −3.20924 | − | 16.1677i | −0.175602 | − | 0.884658i | ||||
\(335\) | −0.0832578 | − | 0.0604903i | −0.00454886 | − | 0.00330494i | ||||
\(336\) | −27.5234 | − | 4.40441i | −1.50152 | − | 0.240280i | ||||
\(337\) | 0.927605 | − | 2.85487i | 0.0505298 | − | 0.155515i | −0.922608 | − | 0.385740i | \(-0.873946\pi\) |
0.973137 | + | 0.230225i | \(0.0739462\pi\) | |||||||
\(338\) | −9.94481 | − | 9.20026i | −0.540926 | − | 0.500428i | ||||
\(339\) | 7.32005 | + | 10.0752i | 0.397571 | + | 0.547209i | ||||
\(340\) | 1.75832 | + | 1.07944i | 0.0953584 | + | 0.0585406i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −0.988185 | − | 1.76619i | −0.0534349 | − | 0.0955044i | ||||
\(343\) | −2.54674 | + | 1.85031i | −0.137511 | + | 0.0999075i | ||||
\(344\) | −8.70189 | − | 30.9968i | −0.469174 | − | 1.67124i | ||||
\(345\) | 0.324486 | − | 0.998666i | 0.0174697 | − | 0.0537664i | ||||
\(346\) | 2.13781 | − | 18.0006i | 0.114929 | − | 0.967717i | ||||
\(347\) | −1.17900 | + | 1.62275i | −0.0632919 | + | 0.0871138i | −0.839490 | − | 0.543376i | \(-0.817146\pi\) |
0.776198 | + | 0.630490i | \(0.217146\pi\) | |||||||
\(348\) | −14.2787 | − | 16.7452i | −0.765416 | − | 0.897640i | ||||
\(349\) | −6.24922 | + | 2.03049i | −0.334513 | + | 0.108690i | −0.471457 | − | 0.881889i | \(-0.656272\pi\) |
0.136944 | + | 0.990579i | \(0.456272\pi\) | |||||||
\(350\) | 11.2235 | − | 24.3201i | 0.599921 | − | 1.29996i | ||||
\(351\) | −9.11611 | −0.486582 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.9126 | 1.00662 | 0.503308 | − | 0.864107i | \(-0.332116\pi\) | ||||
0.503308 | + | 0.864107i | \(0.332116\pi\) | |||||||
\(354\) | 0.996856 | − | 2.16008i | 0.0529823 | − | 0.114807i | ||||
\(355\) | 1.84299 | − | 0.598823i | 0.0978156 | − | 0.0317822i | ||||
\(356\) | 21.7774 | + | 25.5393i | 1.15420 | + | 1.35358i | ||||
\(357\) | 14.9592 | − | 20.5896i | 0.791725 | − | 1.08972i | ||||
\(358\) | 0.370041 | − | 3.11578i | 0.0195573 | − | 0.164674i | ||||
\(359\) | 5.35519 | − | 16.4816i | 0.282636 | − | 0.869865i | −0.704461 | − | 0.709743i | \(-0.748811\pi\) |
0.987097 | − | 0.160122i | \(-0.0511889\pi\) | |||||||
\(360\) | 0.0598233 | + | 0.213096i | 0.00315297 | + | 0.0112311i | ||||
\(361\) | 6.21564 | − | 4.51592i | 0.327139 | − | 0.237680i | ||||
\(362\) | 6.55844 | + | 11.7219i | 0.344704 | + | 0.616091i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.1339 | + | 7.44904i | 0.635991 | + | 0.390436i | ||||
\(365\) | 1.63398 | + | 2.24898i | 0.0855262 | + | 0.117717i | ||||
\(366\) | −18.0793 | − | 16.7257i | −0.945018 | − | 0.874267i | ||||
\(367\) | −1.71592 | + | 5.28106i | −0.0895704 | + | 0.275669i | −0.985801 | − | 0.167920i | \(-0.946295\pi\) |
0.896230 | + | 0.443589i | \(0.146295\pi\) | |||||||
\(368\) | 1.29799 | − | 8.11118i | 0.0676621 | − | 0.422824i | ||||
\(369\) | 0.0954866 | + | 0.0693751i | 0.00497083 | + | 0.00361152i | ||||
\(370\) | 0.614647 | + | 3.09651i | 0.0319540 | + | 0.160980i | ||||
\(371\) | −32.9210 | + | 10.6967i | −1.70917 | + | 0.555343i | ||||
\(372\) | −32.0220 | + | 2.49442i | −1.66026 | + | 0.129330i | ||||
\(373\) | − | 13.2690i | − | 0.687045i | −0.939145 | − | 0.343522i | \(-0.888380\pi\) | ||
0.939145 | − | 0.343522i | \(-0.111620\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.07248 | −0.261942 | ||||||||
\(376\) | 1.75523 | + | 2.63373i | 0.0905192 | + | 0.135824i | ||||
\(377\) | 3.47367 | + | 10.6909i | 0.178903 | + | 0.550608i | ||||
\(378\) | −26.3207 | + | 5.22457i | −1.35379 | + | 0.268723i | ||||
\(379\) | 4.55986 | − | 6.27611i | 0.234224 | − | 0.322382i | −0.675684 | − | 0.737191i | \(-0.736152\pi\) |
0.909908 | + | 0.414809i | \(0.136152\pi\) | |||||||
\(380\) | −2.69690 | + | 1.11457i | −0.138348 | + | 0.0571760i | ||||
\(381\) | 25.1171 | + | 8.16105i | 1.28679 | + | 0.418103i | ||||
\(382\) | −16.0644 | − | 14.8617i | −0.821928 | − | 0.760392i | ||||
\(383\) | 8.46147 | − | 6.14762i | 0.432361 | − | 0.314128i | −0.350231 | − | 0.936663i | \(-0.613897\pi\) |
0.782592 | + | 0.622535i | \(0.213897\pi\) | |||||||
\(384\) | 8.52238 | + | 18.6234i | 0.434906 | + | 0.950370i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.69877 | − | 5.42648i | 0.493655 | − | 0.276201i | ||||
\(387\) | 1.85357 | + | 2.55121i | 0.0942220 | + | 0.129686i | ||||
\(388\) | −22.5705 | − | 5.43779i | −1.14584 | − | 0.276062i | ||||
\(389\) | −27.6493 | − | 8.98380i | −1.40188 | − | 0.455497i | −0.492079 | − | 0.870551i | \(-0.663763\pi\) |
−0.909797 | + | 0.415054i | \(0.863763\pi\) | |||||||
\(390\) | 0.157718 | − | 1.32801i | 0.00798638 | − | 0.0672463i | ||||
\(391\) | 6.06778 | + | 4.40850i | 0.306861 | + | 0.222947i | ||||
\(392\) | 20.7361 | + | 7.67822i | 1.04733 | + | 0.387809i | ||||
\(393\) | −0.828825 | − | 2.55086i | −0.0418087 | − | 0.128674i | ||||
\(394\) | −27.2078 | − | 12.5561i | −1.37071 | − | 0.632569i | ||||
\(395\) | − | 0.583963i | − | 0.0293824i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.83587i | 0.242705i | 0.992609 | + | 0.121353i | \(0.0387232\pi\) | ||||
−0.992609 | + | 0.121353i | \(0.961277\pi\) | |||||||
\(398\) | −3.09777 | + | 6.71253i | −0.155277 | + | 0.336469i | ||||
\(399\) | 11.1233 | + | 34.2338i | 0.556859 | + | 1.71384i | ||||
\(400\) | −19.4435 | + | 3.04767i | −0.972173 | + | 0.152384i | ||||
\(401\) | −0.412841 | − | 0.299946i | −0.0206163 | − | 0.0149786i | 0.577429 | − | 0.816441i | \(-0.304056\pi\) |
−0.598046 | + | 0.801462i | \(0.704056\pi\) | |||||||
\(402\) | 0.926240 | + | 0.110003i | 0.0461967 | + | 0.00548647i | ||||
\(403\) | 15.6036 | + | 5.06992i | 0.777271 | + | 0.252551i | ||||
\(404\) | −1.48650 | + | 6.17000i | −0.0739563 | + | 0.306969i | ||||
\(405\) | 1.61948 | + | 2.22903i | 0.0804727 | + | 0.110761i | ||||
\(406\) | 16.1565 | + | 28.8766i | 0.801834 | + | 1.43312i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −18.6848 | − | 0.756573i | −0.925033 | − | 0.0374559i | ||||
\(409\) | 2.23205 | − | 1.62168i | 0.110368 | − | 0.0801867i | −0.531232 | − | 0.847226i | \(-0.678271\pi\) |
0.641600 | + | 0.767039i | \(0.278271\pi\) | |||||||
\(410\) | 0.115570 | − | 0.124922i | 0.00570758 | − | 0.00616948i | ||||
\(411\) | 26.4031 | + | 8.57890i | 1.30237 | + | 0.423166i | ||||
\(412\) | −10.5334 | + | 4.35323i | −0.518946 | + | 0.214468i | ||||
\(413\) | −2.10256 | + | 2.89393i | −0.103460 | + | 0.142401i | ||||
\(414\) | 0.156652 | + | 0.789191i | 0.00769902 | + | 0.0387866i | ||||
\(415\) | −1.21777 | − | 3.74791i | −0.0597780 | − | 0.183978i | ||||
\(416\) | −0.389827 | − | 10.4544i | −0.0191128 | − | 0.512571i | ||||
\(417\) | −15.2729 | −0.747919 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 28.9400i | 1.41381i | 0.707308 | + | 0.706906i | \(0.249910\pi\) | ||||
−0.707308 | + | 0.706906i | \(0.750090\pi\) | |||||||
\(420\) | −0.305723 | − | 3.92471i | −0.0149178 | − | 0.191506i | ||||
\(421\) | −17.2559 | + | 5.60677i | −0.841000 | + | 0.273257i | −0.697672 | − | 0.716418i | \(-0.745780\pi\) |
−0.143328 | + | 0.989675i | \(0.545780\pi\) | |||||||
\(422\) | 8.59517 | − | 1.70611i | 0.418406 | − | 0.0830523i | ||||
\(423\) | −0.250803 | − | 0.182219i | −0.0121945 | − | 0.00885980i | ||||
\(424\) | 19.9551 | + | 15.7702i | 0.969104 | + | 0.765867i | ||||
\(425\) | 5.55295 | − | 17.0902i | 0.269358 | − | 0.828998i | ||||
\(426\) | −11.9273 | + | 12.8926i | −0.577882 | + | 0.624648i | ||||
\(427\) | 21.7675 | + | 29.9604i | 1.05340 | + | 1.44989i | ||||
\(428\) | −3.77900 | − | 2.31993i | −0.182665 | − | 0.112138i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.96807 | − | 2.22014i | 0.191357 | − | 0.107065i | ||||
\(431\) | 10.8005 | − | 7.84700i | 0.520240 | − | 0.377977i | −0.296454 | − | 0.955047i | \(-0.595804\pi\) |
0.816694 | + | 0.577070i | \(0.195804\pi\) | |||||||
\(432\) | 13.9197 | + | 13.9643i | 0.669714 | + | 0.671860i | ||||
\(433\) | 3.83252 | − | 11.7953i | 0.184179 | − | 0.566845i | −0.815754 | − | 0.578399i | \(-0.803678\pi\) |
0.999933 | + | 0.0115537i | \(0.00367774\pi\) | |||||||
\(434\) | 47.9574 | + | 5.69558i | 2.30203 | + | 0.273397i | ||||
\(435\) | 1.82682 | − | 2.51441i | 0.0875895 | − | 0.120557i | ||||
\(436\) | 0.547932 | − | 0.467221i | 0.0262412 | − | 0.0223758i | ||||
\(437\) | −10.0888 | + | 3.27804i | −0.482611 | + | 0.156810i | ||||
\(438\) | −22.8770 | − | 10.5575i | −1.09311 | − | 0.504458i | ||||
\(439\) | −6.69021 | −0.319306 | −0.159653 | − | 0.987173i | \(-0.551038\pi\) | ||||
−0.159653 | + | 0.987173i | \(0.551038\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.16584 | −0.103135 | ||||||||
\(442\) | 8.67310 | + | 4.00256i | 0.412537 | + | 0.190382i | ||||
\(443\) | −16.2495 | + | 5.27979i | −0.772039 | + | 0.250851i | −0.668437 | − | 0.743768i | \(-0.733037\pi\) |
−0.103601 | + | 0.994619i | \(0.533037\pi\) | |||||||
\(444\) | −18.5652 | − | 21.7723i | −0.881065 | − | 1.03327i | ||||
\(445\) | −2.78622 | + | 3.83490i | −0.132079 | + | 0.181792i | ||||
\(446\) | −0.874238 | − | 0.103827i | −0.0413964 | − | 0.00491637i | ||||
\(447\) | −11.0929 | + | 34.1404i | −0.524676 | + | 1.61479i | ||||
\(448\) | −7.11712 | − | 29.9614i | −0.336252 | − | 1.41554i | ||||
\(449\) | −1.34630 | + | 0.978141i | −0.0635356 | + | 0.0461613i | −0.619100 | − | 0.785312i | \(-0.712502\pi\) |
0.555564 | + | 0.831474i | \(0.312502\pi\) | |||||||
\(450\) | 1.68230 | − | 0.941251i | 0.0793045 | − | 0.0443710i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −7.19840 | + | 11.7257i | −0.338584 | + | 0.551529i | ||||
\(453\) | 13.7412 | + | 18.9131i | 0.645618 | + | 0.888617i | ||||
\(454\) | −6.97422 | + | 7.53862i | −0.327316 | + | 0.353805i | ||||
\(455\) | −0.621384 | + | 1.91242i | −0.0291309 | + | 0.0896557i | ||||
\(456\) | 16.3991 | − | 20.7509i | 0.767957 | − | 0.971749i | ||||
\(457\) | 18.1617 | + | 13.1953i | 0.849570 | + | 0.617249i | 0.925027 | − | 0.379900i | \(-0.124042\pi\) |
−0.0754574 | + | 0.997149i | \(0.524042\pi\) | |||||||
\(458\) | 30.7813 | − | 6.10999i | 1.43831 | − | 0.285501i | ||||
\(459\) | −17.1216 | + | 5.56316i | −0.799170 | + | 0.259666i | ||||
\(460\) | 1.15662 | − | 0.0900971i | 0.0539275 | − | 0.00420080i | ||||
\(461\) | 12.0546i | 0.561440i | 0.959790 | + | 0.280720i | \(0.0905732\pi\) | ||||
−0.959790 | + | 0.280720i | \(0.909427\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 41.5732 | 1.93207 | 0.966035 | − | 0.258412i | \(-0.0831994\pi\) | ||||
0.966035 | + | 0.258412i | \(0.0831994\pi\) | |||||||
\(464\) | 11.0725 | − | 21.6454i | 0.514028 | − | 1.00486i | ||||
\(465\) | −1.40176 | − | 4.31416i | −0.0650049 | − | 0.200064i | ||||
\(466\) | 1.36252 | + | 6.86419i | 0.0631175 | + | 0.317977i | ||||
\(467\) | 22.8113 | − | 31.3971i | 1.05558 | − | 1.45288i | 0.171712 | − | 0.985147i | \(-0.445070\pi\) |
0.883869 | − | 0.467735i | \(-0.154930\pi\) | |||||||
\(468\) | 0.391383 | + | 0.947023i | 0.0180917 | + | 0.0437762i | ||||
\(469\) | −1.33385 | − | 0.433394i | −0.0615915 | − | 0.0200123i | ||||
\(470\) | −0.303553 | + | 0.328119i | −0.0140019 | + | 0.0151350i | ||||
\(471\) | 6.82756 | − | 4.96051i | 0.314597 | − | 0.228568i | ||||
\(472\) | 2.62620 | + | 0.106339i | 0.120881 | + | 0.00489464i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 2.58431 | + | 4.61896i | 0.118702 | + | 0.212156i | ||||
\(475\) | 14.9389 | + | 20.5617i | 0.685446 | + | 0.943435i | ||||
\(476\) | 27.3355 | + | 6.58579i | 1.25292 | + | 0.301859i | ||||
\(477\) | −2.36933 | − | 0.769841i | −0.108484 | − | 0.0352486i | ||||
\(478\) | 14.9929 | + | 1.78061i | 0.685761 | + | 0.0814432i | ||||
\(479\) | −25.4538 | − | 18.4933i | −1.16301 | − | 0.844980i | −0.172859 | − | 0.984947i | \(-0.555300\pi\) |
−0.990156 | + | 0.139967i | \(0.955300\pi\) | |||||||
\(480\) | −2.27511 | + | 1.78619i | −0.103844 | + | 0.0815280i | ||||
\(481\) | 4.51649 | + | 13.9003i | 0.205934 | + | 0.633800i | ||||
\(482\) | −4.23386 | + | 9.17429i | −0.192847 | + | 0.417878i | ||||
\(483\) | − | 14.3102i | − | 0.651139i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 3.27885i | − | 0.148885i | ||||||
\(486\) | −3.68549 | − | 1.70082i | −0.167177 | − | 0.0771507i | ||||
\(487\) | −10.8378 | − | 33.3553i | −0.491107 | − | 1.51147i | −0.822936 | − | 0.568134i | \(-0.807666\pi\) |
0.331829 | − | 0.943340i | \(-0.392334\pi\) | |||||||
\(488\) | 9.44878 | − | 25.5178i | 0.427726 | − | 1.15513i | ||||
\(489\) | 16.1489 | + | 11.7329i | 0.730278 | + | 0.530578i | ||||
\(490\) | −0.368296 | + | 3.10110i | −0.0166379 | + | 0.140093i | ||||
\(491\) | −15.7185 | − | 5.10724i | −0.709365 | − | 0.230487i | −0.0679589 | − | 0.997688i | \(-0.521649\pi\) |
−0.641406 | + | 0.767201i | \(0.721649\pi\) | |||||||
\(492\) | −0.361278 | + | 1.49955i | −0.0162877 | + | 0.0676048i | ||||
\(493\) | 13.0483 | + | 17.9595i | 0.587667 | + | 0.808854i | ||||
\(494\) | −11.7902 | + | 6.59662i | −0.530465 | + | 0.296796i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.0595 | − | 31.6435i | −0.721092 | − | 1.42084i | ||||
\(497\) | 21.3652 | − | 15.5227i | 0.958360 | − | 0.696289i | ||||
\(498\) | 26.2185 | + | 24.2555i | 1.17488 | + | 1.08692i | ||||
\(499\) | −16.1082 | − | 5.23387i | −0.721101 | − | 0.234300i | −0.0746007 | − | 0.997213i | \(-0.523768\pi\) |
−0.646501 | + | 0.762913i | \(0.723768\pi\) | |||||||
\(500\) | −2.14047 | − | 5.17927i | −0.0957248 | − | 0.231624i | ||||
\(501\) | −12.4018 | + | 17.0696i | −0.554072 | + | 0.762614i | ||||
\(502\) | −17.9649 | + | 3.56597i | −0.801813 | + | 0.159157i | ||||
\(503\) | 5.06018 | + | 15.5736i | 0.225622 | + | 0.694394i | 0.998228 | + | 0.0595074i | \(0.0189530\pi\) |
−0.772606 | + | 0.634886i | \(0.781047\pi\) | |||||||
\(504\) | 1.67278 | + | 2.51000i | 0.0745116 | + | 0.111804i | ||||
\(505\) | −0.896324 | −0.0398859 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.3419i | 0.770180i | ||||||||
\(508\) | 2.26601 | + | 29.0897i | 0.100538 | + | 1.29065i | ||||
\(509\) | 27.8703 | − | 9.05560i | 1.23533 | − | 0.401382i | 0.382686 | − | 0.923878i | \(-0.374999\pi\) |
0.852642 | + | 0.522496i | \(0.174999\pi\) | |||||||
\(510\) | −0.514201 | − | 2.59048i | −0.0227692 | − | 0.114708i | ||||
\(511\) | 30.6491 | + | 22.2679i | 1.35584 | + | 0.985074i | ||||
\(512\) | −15.4192 | + | 16.5604i | −0.681439 | + | 0.731875i | ||||
\(513\) | 7.86831 | − | 24.2162i | 0.347394 | − | 1.06917i | ||||
\(514\) | 28.5684 | + | 26.4296i | 1.26010 | + | 1.16576i | ||||
\(515\) | −0.946146 | − | 1.30226i | −0.0416922 | − | 0.0573844i | ||||
\(516\) | −21.5609 | + | 35.1212i | −0.949167 | + | 1.54612i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 21.0068 | + | 37.5455i | 0.922985 | + | 1.64966i | ||||
\(519\) | −18.7720 | + | 13.6387i | −0.824001 | + | 0.598672i | ||||
\(520\) | 1.42252 | − | 0.399350i | 0.0623816 | − | 0.0175127i | ||||
\(521\) | −1.53037 | + | 4.70998i | −0.0670466 | + | 0.206348i | −0.978967 | − | 0.204019i | \(-0.934600\pi\) |
0.911920 | + | 0.410367i | \(0.134600\pi\) | |||||||
\(522\) | −0.280853 | + | 2.36481i | −0.0122926 | + | 0.103505i | ||||
\(523\) | −0.0444785 | + | 0.0612194i | −0.00194491 | + | 0.00267694i | −0.809988 | − | 0.586446i | \(-0.800527\pi\) |
0.808043 | + | 0.589123i | \(0.200527\pi\) | |||||||
\(524\) | 2.25482 | − | 1.92268i | 0.0985021 | − | 0.0839926i | ||||
\(525\) | −32.6079 | + | 10.5950i | −1.42313 | + | 0.462402i | ||||
\(526\) | −16.8533 | + | 36.5192i | −0.734839 | + | 1.59231i | ||||
\(527\) | 32.4002 | 1.41138 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.7828 | −0.816641 | ||||||||
\(530\) | −1.50517 | + | 3.26153i | −0.0653804 | + | 0.141672i | ||||
\(531\) | −0.244844 | + | 0.0795546i | −0.0106253 | + | 0.00345238i | ||||
\(532\) | −30.2608 | + | 25.8033i | −1.31197 | + | 1.11872i | ||||
\(533\) | 0.463113 | − | 0.637421i | 0.0200597 | − | 0.0276098i | ||||
\(534\) | 5.06681 | − | 42.6631i | 0.219262 | − | 1.84621i | ||||
\(535\) | 0.193524 | − | 0.595605i | 0.00836677 | − | 0.0257503i | ||||
\(536\) | 0.278533 | + | 0.992159i | 0.0120308 | + | 0.0428547i | ||||
\(537\) | −3.24932 | + | 2.36077i | −0.140218 | + | 0.101875i | ||||
\(538\) | 6.52550 | + | 11.6631i | 0.281334 | + | 0.502830i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.45687 | + | 2.37314i | −0.0626938 | + | 0.102124i | ||||
\(541\) | −9.69139 | − | 13.3390i | −0.416665 | − | 0.573491i | 0.548163 | − | 0.836372i | \(-0.315327\pi\) |
−0.964828 | + | 0.262881i | \(0.915327\pi\) | |||||||
\(542\) | −16.8427 | − | 15.5817i | −0.723456 | − | 0.669292i | ||||
\(543\) | 5.31309 | − | 16.3520i | 0.228006 | − | 0.701731i | ||||
\(544\) | −7.11205 | − | 19.3974i | −0.304927 | − | 0.831656i | ||||
\(545\) | 0.0822755 | + | 0.0597767i | 0.00352430 | + | 0.00256055i | ||||
\(546\) | −3.54844 | − | 17.8765i | −0.151859 | − | 0.765046i | ||||
\(547\) | 13.6673 | − | 4.44079i | 0.584373 | − | 0.189874i | −0.00188540 | − | 0.999998i | \(-0.500600\pi\) |
0.586259 | + | 0.810124i | \(0.300600\pi\) | |||||||
\(548\) | 2.38202 | + | 30.5791i | 0.101755 | + | 1.30627i | ||||
\(549\) | 2.66528i | 0.113751i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −31.3975 | −1.33758 | ||||||||
\(552\) | −8.74973 | + | 5.83121i | −0.372413 | + | 0.248193i | ||||
\(553\) | −2.45924 | − | 7.56877i | −0.104578 | − | 0.321857i | ||||
\(554\) | 21.0941 | − | 4.18710i | 0.896200 | − | 0.177893i | ||||
\(555\) | 2.37525 | − | 3.26925i | 0.100824 | − | 0.138772i | ||||
\(556\) | −6.44483 | − | 15.5945i | −0.273322 | − | 0.661353i | ||||
\(557\) | 32.8185 | + | 10.6634i | 1.39056 | + | 0.451822i | 0.906128 | − | 0.423005i | \(-0.139025\pi\) |
0.484437 | + | 0.874826i | \(0.339025\pi\) | |||||||
\(558\) | 2.55139 | + | 2.36037i | 0.108009 | + | 0.0999224i | ||||
\(559\) | 17.0306 | − | 12.3735i | 0.720319 | − | 0.523342i | ||||
\(560\) | 3.87832 | − | 1.96830i | 0.163889 | − | 0.0831757i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.07802 | + | 2.28166i | −0.172021 | + | 0.0962461i | ||||
\(563\) | 8.54055 | + | 11.7551i | 0.359941 | + | 0.495417i | 0.950132 | − | 0.311847i | \(-0.100948\pi\) |
−0.590191 | + | 0.807264i | \(0.700948\pi\) | |||||||
\(564\) | 0.948924 | − | 3.93868i | 0.0399569 | − | 0.165848i | ||||
\(565\) | −1.84807 | − | 0.600475i | −0.0777490 | − | 0.0252622i | ||||
\(566\) | 1.23637 | − | 10.4104i | 0.0519685 | − | 0.437580i | ||||
\(567\) | 30.3772 | + | 22.0704i | 1.27572 | + | 0.926868i | ||||
\(568\) | −18.1971 | − | 6.73806i | −0.763532 | − | 0.282723i | ||||
\(569\) | −12.4156 | − | 38.2113i | −0.520490 | − | 1.60190i | −0.773066 | − | 0.634326i | \(-0.781278\pi\) |
0.252576 | − | 0.967577i | \(-0.418722\pi\) | |||||||
\(570\) | 3.39161 | + | 1.56520i | 0.142059 | + | 0.0655588i | ||||
\(571\) | 12.7835i | 0.534972i | 0.963562 | + | 0.267486i | \(0.0861930\pi\) | ||||
−0.963562 | + | 0.267486i | \(0.913807\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 28.0134i | 1.17027i | ||||||||
\(574\) | 0.971818 | − | 2.10582i | 0.0405629 | − | 0.0878953i | ||||
\(575\) | −3.12235 | − | 9.60960i | −0.130211 | − | 0.400748i | ||||
\(576\) | 0.853062 | − | 2.04558i | 0.0355442 | − | 0.0852325i | ||||
\(577\) | −6.92469 | − | 5.03108i | −0.288278 | − | 0.209447i | 0.434242 | − | 0.900796i | \(-0.357016\pi\) |
−0.722520 | + | 0.691350i | \(0.757016\pi\) | |||||||
\(578\) | −5.14168 | − | 0.610643i | −0.213866 | − | 0.0253994i | ||||
\(579\) | −13.5297 | − | 4.39607i | −0.562275 | − | 0.182694i | ||||
\(580\) | 3.33822 | + | 0.804260i | 0.138612 | + | 0.0333951i | ||||
\(581\) | −31.5671 | − | 43.4484i | −1.30963 | − | 1.80254i | ||||
\(582\) | 14.5105 | + | 25.9346i | 0.601478 | + | 1.07502i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 1.12622 | − | 27.8137i | 0.0466031 | − | 1.15094i | ||||
\(585\) | −0.117081 | + | 0.0850646i | −0.00484072 | + | 0.00351699i | ||||
\(586\) | −28.8633 | + | 31.1991i | −1.19233 | + | 1.28882i | ||||
\(587\) | −32.0771 | − | 10.4225i | −1.32396 | − | 0.430182i | −0.440110 | − | 0.897944i | \(-0.645061\pi\) |
−0.883855 | + | 0.467761i | \(0.845061\pi\) | |||||||
\(588\) | −10.8107 | − | 26.1585i | −0.445826 | − | 1.07876i | ||||
\(589\) | −26.9356 | + | 37.0736i | −1.10986 | + | 1.52759i | ||||
\(590\) | 0.0722727 | + | 0.364100i | 0.00297542 | + | 0.0149898i | ||||
\(591\) | 11.8530 | + | 36.4797i | 0.487566 | + | 1.50057i | ||||
\(592\) | 14.3965 | − | 28.1434i | 0.591694 | − | 1.15669i | ||||
\(593\) | 14.1680 | 0.581808 | 0.290904 | − | 0.956752i | \(-0.406044\pi\) | ||||
0.290904 | + | 0.956752i | \(0.406044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.97106i | 0.162798i | ||||||||
\(596\) | −39.5401 | + | 3.08006i | −1.61963 | + | 0.126164i | ||||
\(597\) | 9.00003 | − | 2.92429i | 0.368347 | − | 0.119683i | ||||
\(598\) | 5.26824 | − | 1.04573i | 0.215434 | − | 0.0427630i | ||||
\(599\) | −20.0845 | − | 14.5922i | −0.820630 | − | 0.596223i | 0.0962629 | − | 0.995356i | \(-0.469311\pi\) |
−0.916893 | + | 0.399133i | \(0.869311\pi\) | |||||||
\(600\) | 19.7653 | + | 15.6202i | 0.806916 | + | 0.637692i | ||||
\(601\) | 0.544926 | − | 1.67711i | 0.0222280 | − | 0.0684108i | −0.939327 | − | 0.343022i | \(-0.888549\pi\) |
0.961555 | + | 0.274612i | \(0.0885493\pi\) | |||||||
\(602\) | 42.0806 | − | 45.4860i | 1.71508 | − | 1.85387i | ||||
\(603\) | −0.0593297 | − | 0.0816603i | −0.00241609 | − | 0.00332546i | ||||
\(604\) | −13.5128 | + | 22.0114i | −0.549829 | + | 0.895631i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 7.08963 | − | 3.96666i | 0.287996 | − | 0.161135i | ||||
\(607\) | 9.44662 | − | 6.86337i | 0.383427 | − | 0.278576i | −0.379330 | − | 0.925261i | \(-0.623845\pi\) |
0.762757 | + | 0.646686i | \(0.223845\pi\) | |||||||
\(608\) | 28.1078 | + | 7.98791i | 1.13992 | + | 0.323952i | ||||
\(609\) | 13.0886 | − | 40.2826i | 0.530377 | − | 1.63233i | ||||
\(610\) | 3.81619 | + | 0.453223i | 0.154513 | + | 0.0183505i | ||||
\(611\) | −1.21640 | + | 1.67424i | −0.0492104 | + | 0.0677324i | ||||
\(612\) | 1.31301 | + | 1.53983i | 0.0530754 | + | 0.0622440i | ||||
\(613\) | −3.29788 | + | 1.07155i | −0.133200 | + | 0.0432794i | −0.374858 | − | 0.927082i | \(-0.622309\pi\) |
0.241658 | + | 0.970361i | \(0.422309\pi\) | |||||||
\(614\) | 10.7052 | + | 4.94037i | 0.432028 | + | 0.199377i | ||||
\(615\) | −0.217841 | −0.00878420 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 24.0009 | 0.966242 | 0.483121 | − | 0.875554i | \(-0.339503\pi\) | ||||
0.483121 | + | 0.875554i | \(0.339503\pi\) | |||||||
\(618\) | 13.2468 | + | 6.11329i | 0.532865 | + | 0.245913i | ||||
\(619\) | −38.1725 | + | 12.4030i | −1.53428 | + | 0.498519i | −0.949792 | − | 0.312881i | \(-0.898706\pi\) |
−0.584491 | + | 0.811400i | \(0.698706\pi\) | |||||||
\(620\) | 3.81347 | − | 3.25174i | 0.153153 | − | 0.130593i | ||||
\(621\) | −5.94998 | + | 8.18944i | −0.238764 | + | 0.328631i | ||||
\(622\) | 1.79126 | + | 0.212735i | 0.0718228 | + | 0.00852991i | ||||
\(623\) | −19.9624 | + | 61.4378i | −0.799775 | + | 2.46145i | ||||
\(624\) | −9.48434 | + | 9.45405i | −0.379677 | + | 0.378465i | ||||
\(625\) | −19.2624 | + | 13.9949i | −0.770495 | + | 0.559797i | ||||
\(626\) | 7.90720 | − | 4.42409i | 0.316035 | − | 0.176822i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.94602 | + | 4.87807i | 0.317081 | + | 0.194656i | ||||
\(629\) | 16.9655 | + | 23.3510i | 0.676459 | + | 0.931066i | ||||
\(630\) | −0.289294 | + | 0.312705i | −0.0115257 | + | 0.0124585i | ||||
\(631\) | −6.51833 | + | 20.0614i | −0.259491 | + | 0.798630i | 0.733421 | + | 0.679775i | \(0.237922\pi\) |
−0.992912 | + | 0.118855i | \(0.962078\pi\) | |||||||
\(632\) | −3.62567 | + | 4.58782i | −0.144222 | + | 0.182494i | ||||
\(633\) | −9.07465 | − | 6.59312i | −0.360685 | − | 0.262053i | ||||
\(634\) | 26.5556 | − | 5.27121i | 1.05466 | − | 0.209346i | ||||
\(635\) | −3.91911 | + | 1.27340i | −0.155525 | + | 0.0505332i | ||||
\(636\) | −2.52845 | − | 32.4588i | −0.100259 | − | 1.28707i | ||||
\(637\) | 14.4581i | 0.572850i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.90065 | 0.0751885 | ||||||||
\(640\) | −2.78384 | − | 1.56927i | −0.110041 | − | 0.0620310i | ||||
\(641\) | −0.967883 | − | 2.97884i | −0.0382291 | − | 0.117657i | 0.930121 | − | 0.367254i | \(-0.119702\pi\) |
−0.968350 | + | 0.249597i | \(0.919702\pi\) | |||||||
\(642\) | 1.10513 | + | 5.56748i | 0.0436158 | + | 0.219731i | ||||
\(643\) | −14.6849 | + | 20.2121i | −0.579117 | + | 0.797086i | −0.993598 | − | 0.112972i | \(-0.963963\pi\) |
0.414481 | + | 0.910058i | \(0.363963\pi\) | |||||||
\(644\) | 14.6115 | − | 6.03860i | 0.575774 | − | 0.237954i | ||||
\(645\) | −5.53542 | − | 1.79857i | −0.217957 | − | 0.0708185i | ||||
\(646\) | −18.1184 | + | 19.5846i | −0.712858 | + | 0.770547i | ||||
\(647\) | 1.38537 | − | 1.00653i | 0.0544644 | − | 0.0395707i | −0.560220 | − | 0.828344i | \(-0.689283\pi\) |
0.614684 | + | 0.788773i | \(0.289283\pi\) | |||||||
\(648\) | 1.11623 | − | 27.5669i | 0.0438495 | − | 1.08293i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −6.28332 | − | 11.2302i | −0.246452 | − | 0.440485i | ||||
\(651\) | −36.3364 | − | 50.0128i | −1.42414 | − | 1.96015i | ||||
\(652\) | −5.16539 | + | 21.4399i | −0.202292 | + | 0.839650i | ||||
\(653\) | −33.8685 | − | 11.0046i | −1.32538 | − | 0.430641i | −0.441040 | − | 0.897488i | \(-0.645390\pi\) |
−0.884339 | + | 0.466846i | \(0.845390\pi\) | |||||||
\(654\) | −0.915312 | − | 0.108705i | −0.0357915 | − | 0.00425072i | ||||
\(655\) | 0.338575 | + | 0.245989i | 0.0132292 | + | 0.00961160i | ||||
\(656\) | −1.68357 | + | 0.263891i | −0.0657322 | + | 0.0103032i | ||||
\(657\) | 0.842549 | + | 2.59310i | 0.0328710 | + | 0.101166i | ||||
\(658\) | −2.55256 | + | 5.53111i | −0.0995091 | + | 0.215625i | ||||
\(659\) | − | 13.2498i | − | 0.516140i | −0.966126 | − | 0.258070i | \(-0.916914\pi\) | ||
0.966126 | − | 0.258070i | \(-0.0830865\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 9.36299i | − | 0.364178i | −0.983282 | − | 0.182089i | \(-0.941714\pi\) | ||
0.983282 | − | 0.182089i | \(-0.0582859\pi\) | |||||||
\(662\) | −7.34124 | − | 3.38792i | −0.285325 | − | 0.131675i | ||||
\(663\) | −3.77840 | − | 11.6287i | −0.146741 | − | 0.451622i | ||||
\(664\) | −13.7026 | + | 37.0057i | −0.531763 | + | 1.43610i | ||||
\(665\) | −4.54385 | − | 3.30130i | −0.176203 | − | 0.128019i | ||||
\(666\) | −0.365166 | + | 3.07474i | −0.0141499 | + | 0.119144i | ||||
\(667\) | 11.8713 | + | 3.85723i | 0.459660 | + | 0.149353i | ||||
\(668\) | −22.6623 | − | 5.45990i | −0.876829 | − | 0.211250i | ||||
\(669\) | 0.662393 | + | 0.911706i | 0.0256096 | + | 0.0352486i | ||||
\(670\) | −0.127011 | + | 0.0710632i | −0.00490688 | + | 0.00274541i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −21.9656 | + | 32.7320i | −0.847341 | + | 1.26266i | ||||
\(673\) | −7.31578 | + | 5.31523i | −0.282003 | + | 0.204887i | −0.719790 | − | 0.694191i | \(-0.755762\pi\) |
0.437788 | + | 0.899078i | \(0.355762\pi\) | |||||||
\(674\) | −3.11618 | − | 2.88287i | −0.120031 | − | 0.111044i | ||||
\(675\) | 23.0660 | + | 7.49460i | 0.887811 | + | 0.288467i | ||||
\(676\) | −17.7070 | + | 7.31788i | −0.681037 | + | 0.281457i | ||||
\(677\) | 8.75599 | − | 12.0516i | 0.336520 | − | 0.463180i | −0.606901 | − | 0.794777i | \(-0.707588\pi\) |
0.943421 | + | 0.331597i | \(0.107588\pi\) | |||||||
\(678\) | 17.2750 | − | 3.42904i | 0.663444 | − | 0.131691i | ||||
\(679\) | −13.8082 | − | 42.4973i | −0.529910 | − | 1.63089i | ||||
\(680\) | 2.42803 | − | 1.61815i | 0.0931108 | − | 0.0620532i | ||||
\(681\) | 13.1459 | 0.503753 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 25.5360i | − | 0.977106i | −0.872534 | − | 0.488553i | \(-0.837525\pi\) | ||
0.872534 | − | 0.488553i | \(-0.162475\pi\) | |||||||
\(684\) | −2.85350 | + | 0.222279i | −0.109106 | + | 0.00849906i | ||||
\(685\) | −4.11977 | + | 1.33859i | −0.157408 | + | 0.0511450i | ||||
\(686\) | 0.866769 | + | 4.36666i | 0.0330934 | + | 0.166720i | ||||
\(687\) | −32.4984 | − | 23.6115i | −1.23989 | − | 0.900834i | ||||
\(688\) | −44.9588 | − | 7.19449i | −1.71404 | − | 0.274288i | ||||
\(689\) | −5.13907 | + | 15.8164i | −0.195783 | + | 0.602558i | ||||
\(690\) | −1.09007 | − | 1.00846i | −0.0414983 | − | 0.0383914i | ||||
\(691\) | 18.0946 | + | 24.9051i | 0.688351 | + | 0.947433i | 0.999996 | − | 0.00276500i | \(-0.000880129\pi\) |
−0.311645 | + | 0.950198i | \(0.600880\pi\) | |||||||
\(692\) | −21.8472 | − | 13.4120i | −0.830505 | − | 0.509848i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.38507 | + | 2.47554i | 0.0525765 | + | 0.0939701i | ||||
\(695\) | 1.92796 | − | 1.40074i | 0.0731316 | − | 0.0531332i | ||||
\(696\) | −29.9635 | + | 8.41178i | −1.13576 | + | 0.318848i | ||||
\(697\) | 0.480818 | − | 1.47980i | 0.0182123 | − | 0.0560516i | ||||
\(698\) | −1.09591 | + | 9.22769i | −0.0414808 | + | 0.349273i | ||||
\(699\) | 5.26533 | − | 7.24710i | 0.199153 | − | 0.274110i | ||||
\(700\) | −24.5778 | − | 28.8236i | −0.928954 | − | 1.08943i | ||||
\(701\) | 1.45899 | − | 0.474054i | 0.0551053 | − | 0.0179048i | −0.281335 | − | 0.959610i | \(-0.590777\pi\) |
0.336440 | + | 0.941705i | \(0.390777\pi\) | |||||||
\(702\) | −5.40210 | + | 11.7057i | −0.203889 | + | 0.441805i | ||||
\(703\) | −40.8233 | −1.53968 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.572177 | 0.0215494 | ||||||||
\(706\) | 11.2074 | − | 24.2851i | 0.421795 | − | 0.913983i | ||||
\(707\) | −11.6173 | + | 3.77468i | −0.436913 | + | 0.141962i | ||||
\(708\) | −2.18297 | − | 2.56007i | −0.0820410 | − | 0.0962133i | ||||
\(709\) | −28.0495 | + | 38.6069i | −1.05342 | + | 1.44991i | −0.167619 | + | 0.985852i | \(0.553608\pi\) |
−0.885804 | + | 0.464060i | \(0.846392\pi\) | |||||||
\(710\) | 0.323200 | − | 2.72138i | 0.0121295 | − | 0.102132i | ||||
\(711\) | 0.176992 | − | 0.544726i | 0.00663772 | − | 0.0204288i | ||||
\(712\) | 45.6993 | − | 12.8294i | 1.71266 | − | 0.480802i | ||||
\(713\) | 14.7388 | − | 10.7084i | 0.551974 | − | 0.401032i | ||||
\(714\) | −17.5738 | − | 31.4098i | −0.657685 | − | 1.17548i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.78161 | − | 2.32153i | −0.141325 | − | 0.0867598i | ||||
\(717\) | −11.3599 | − | 15.6355i | −0.424242 | − | 0.583919i | ||||
\(718\) | −17.9901 | − | 16.6432i | −0.671386 | − | 0.621120i | ||||
\(719\) | −15.0785 | + | 46.4068i | −0.562332 | + | 1.73068i | 0.113416 | + | 0.993548i | \(0.463821\pi\) |
−0.675748 | + | 0.737133i | \(0.736179\pi\) | |||||||
\(720\) | 0.309081 | + | 0.0494604i | 0.0115188 | + | 0.00184328i | ||||
\(721\) | −17.7472 | − | 12.8941i | −0.660941 | − | 0.480202i | ||||
\(722\) | −2.11546 | − | 10.6574i | −0.0787293 | − | 0.396628i | ||||
\(723\) | 12.3007 | − | 3.99675i | 0.457469 | − | 0.148641i | ||||
\(724\) | 18.9383 | − | 1.47524i | 0.703835 | − | 0.0548267i | ||||
\(725\) | − | 29.9063i | − | 1.11069i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.3775 | −0.867023 | −0.433511 | − | 0.901148i | \(-0.642726\pi\) | ||||
−0.433511 | + | 0.901148i | \(0.642726\pi\) | |||||||
\(728\) | 16.7555 | − | 11.1666i | 0.621001 | − | 0.413863i | ||||
\(729\) | −7.43723 | − | 22.8894i | −0.275453 | − | 0.847757i | ||||
\(730\) | 3.85612 | − | 0.765427i | 0.142721 | − | 0.0283297i | ||||
\(731\) | 24.4355 | − | 33.6326i | 0.903779 | − | 1.24395i | ||||
\(732\) | −32.1906 | + | 13.3036i | −1.18980 | + | 0.491716i | ||||
\(733\) | −18.8942 | − | 6.13910i | −0.697873 | − | 0.226753i | −0.0614697 | − | 0.998109i | \(-0.519579\pi\) |
−0.636404 | + | 0.771356i | \(0.719579\pi\) | |||||||
\(734\) | 5.76443 | + | 5.33286i | 0.212769 | + | 0.196839i | ||||
\(735\) | 3.23400 | − | 2.34964i | 0.119288 | − | 0.0866677i | ||||
\(736\) | −9.64616 | − | 6.47329i | −0.355562 | − | 0.238609i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0.145667 | − | 0.0815008i | 0.00536207 | − | 0.00300009i | ||||
\(739\) | −19.3613 | − | 26.6485i | −0.712217 | − | 0.980283i | −0.999747 | − | 0.0225109i | \(-0.992834\pi\) |
0.287530 | − | 0.957772i | \(-0.407166\pi\) | |||||||
\(740\) | 4.34037 | + | 1.04570i | 0.159555 | + | 0.0384408i | ||||
\(741\) | 16.4472 | + | 5.34402i | 0.604203 | + | 0.196317i | ||||
\(742\) | −5.77327 | + | 48.6116i | −0.211943 | + | 1.78459i | ||||
\(743\) | 18.0787 | + | 13.1350i | 0.663244 | + | 0.481875i | 0.867757 | − | 0.496989i | \(-0.165561\pi\) |
−0.204513 | + | 0.978864i | \(0.565561\pi\) | |||||||
\(744\) | −15.7728 | + | 42.5967i | −0.578259 | + | 1.56167i | ||||
\(745\) | −1.73086 | − | 5.32704i | −0.0634138 | − | 0.195168i | ||||
\(746\) | −17.0384 | − | 7.86307i | −0.623820 | − | 0.287887i | ||||
\(747\) | − | 3.86517i | − | 0.141419i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 8.53465i | − | 0.311849i | ||||||
\(750\) | −3.00589 | + | 6.51343i | −0.109760 | + | 0.237837i | ||||
\(751\) | −0.852526 | − | 2.62381i | −0.0311091 | − | 0.0957440i | 0.934296 | − | 0.356497i | \(-0.116029\pi\) |
−0.965405 | + | 0.260753i | \(0.916029\pi\) | |||||||
\(752\) | 4.42202 | − | 0.693132i | 0.161255 | − | 0.0252759i | ||||
\(753\) | 18.9671 | + | 13.7804i | 0.691198 | + | 0.502185i | ||||
\(754\) | 15.7863 | + | 1.87483i | 0.574903 | + | 0.0682773i | ||||
\(755\) | −3.46920 | − | 1.12721i | −0.126257 | − | 0.0410234i | ||||
\(756\) | −8.88859 | + | 36.8936i | −0.323275 | + | 1.34181i | ||||
\(757\) | −27.0424 | − | 37.2206i | −0.982871 | − | 1.35281i | −0.935268 | − | 0.353940i | \(-0.884842\pi\) |
−0.0476027 | − | 0.998866i | \(-0.515158\pi\) | |||||||
\(758\) | −5.35685 | − | 9.57433i | −0.194570 | − | 0.347755i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.166966 | + | 4.12348i | −0.00605649 | + | 0.149575i | ||||
\(761\) | 37.3743 | − | 27.1540i | 1.35482 | − | 0.984331i | 0.356060 | − | 0.934463i | \(-0.384120\pi\) |
0.998756 | − | 0.0498683i | \(-0.0158802\pi\) | |||||||
\(762\) | 25.3635 | − | 27.4161i | 0.918822 | − | 0.993179i | ||||
\(763\) | 1.31811 | + | 0.428281i | 0.0477189 | + | 0.0155048i | ||||
\(764\) | −28.6031 | + | 11.8210i | −1.03482 | + | 0.427669i | ||||
\(765\) | −0.167988 | + | 0.231216i | −0.00607362 | + | 0.00835962i | ||||
\(766\) | −2.87982 | − | 14.5081i | −0.104052 | − | 0.524200i | ||||
\(767\) | 0.531067 | + | 1.63445i | 0.0191757 | + | 0.0590167i | ||||
\(768\) | 28.9640 | + | 0.0926415i | 1.04515 | + | 0.00334291i | ||||
\(769\) | 38.6685 | 1.39442 | 0.697211 | − | 0.716866i | \(-0.254424\pi\) | ||||
0.697211 | + | 0.716866i | \(0.254424\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 49.8179i | − | 1.79415i | ||||||
\(772\) | −1.22062 | − | 15.6696i | −0.0439309 | − | 0.563961i | ||||
\(773\) | −9.03573 | + | 2.93589i | −0.324993 | + | 0.105596i | −0.466969 | − | 0.884274i | \(-0.654654\pi\) |
0.141977 | + | 0.989870i | \(0.454654\pi\) | |||||||
\(774\) | 4.37434 | − | 0.868293i | 0.157232 | − | 0.0312101i | ||||
\(775\) | −35.3128 | − | 25.6563i | −1.26847 | − | 0.921601i | ||||
\(776\) | −20.3575 | + | 25.7598i | −0.730792 | + | 0.924721i | ||||
\(777\) | 17.0179 | − | 52.3757i | 0.610513 | − | 1.87897i | ||||
\(778\) | −27.9205 | + | 30.1800i | −1.00100 | + | 1.08201i | ||||
\(779\) | 1.29353 | + | 1.78039i | 0.0463455 | + | 0.0637891i | ||||
\(780\) | −1.61179 | − | 0.989483i | −0.0577115 | − | 0.0354292i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 9.25651 | − | 5.17904i | 0.331012 | − | 0.185202i | ||||
\(783\) | −24.2392 | + | 17.6108i | −0.866239 | + | 0.629359i | ||||
\(784\) | 22.1473 | − | 22.0766i | 0.790977 | − | 0.788451i | ||||
\(785\) | −0.406918 | + | 1.25237i | −0.0145235 | + | 0.0446989i | ||||
\(786\) | −3.76664 | − | 0.447338i | −0.134352 | − | 0.0159560i | ||||
\(787\) | 19.9374 | − | 27.4415i | 0.710693 | − | 0.978185i | −0.289089 | − | 0.957302i | \(-0.593352\pi\) |
0.999782 | − | 0.0208824i | \(-0.00664757\pi\) | |||||||
\(788\) | −32.2460 | + | 27.4961i | −1.14871 | + | 0.979508i | ||||
\(789\) | 48.9643 | − | 15.9095i | 1.74318 | − | 0.566392i | ||||
\(790\) | −0.749851 | − | 0.346050i | −0.0266785 | − | 0.0123119i | ||||
\(791\) | −26.4817 | −0.941582 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.7921 | 0.631815 | ||||||||
\(794\) | 6.20961 | + | 2.86568i | 0.220371 | + | 0.101699i | ||||
\(795\) | 4.37301 | − | 1.42088i | 0.155095 | − | 0.0503933i | ||||
\(796\) | 6.78366 | + | 7.95552i | 0.240441 | + | 0.281976i | ||||
\(797\) | −11.1154 | + | 15.2990i | −0.393727 | + | 0.541918i | −0.959156 | − | 0.282879i | \(-0.908711\pi\) |
0.565429 | + | 0.824797i | \(0.308711\pi\) | |||||||
\(798\) | 50.5502 | + | 6.00351i | 1.78946 | + | 0.212522i | ||||
\(799\) | −1.26291 | + | 3.88683i | −0.0446784 | + | 0.137506i | ||||
\(800\) | −7.60852 | + | 26.7728i | −0.269002 | + | 0.946562i | ||||
\(801\) | −3.76131 | + | 2.73275i | −0.132899 | + | 0.0965571i | ||||
\(802\) | −0.629797 | + | 0.352372i | −0.0222389 | + | 0.0124427i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.690131 | − | 1.12417i | 0.0243390 | − | 0.0396465i | ||||
\(805\) | 1.31245 | + | 1.80643i | 0.0462578 | + | 0.0636684i | ||||
\(806\) | 15.7566 | − | 17.0318i | 0.555004 | − | 0.599918i | ||||
\(807\) | 5.28640 | − | 16.2699i | 0.186090 | − | 0.572727i | ||||
\(808\) | 7.04183 | + | 5.56504i | 0.247731 | + | 0.195777i | ||||
\(809\) | −31.7504 | − | 23.0680i | −1.11628 | − | 0.811028i | −0.132643 | − | 0.991164i | \(-0.542346\pi\) |
−0.983642 | + | 0.180136i | \(0.942346\pi\) | |||||||
\(810\) | 3.82191 | − | 0.758638i | 0.134288 | − | 0.0266558i | ||||
\(811\) | 16.3941 | − | 5.32677i | 0.575675 | − | 0.187048i | −0.00668700 | − | 0.999978i | \(-0.502129\pi\) |
0.582362 | + | 0.812929i | \(0.302129\pi\) | |||||||
\(812\) | 46.6538 | − | 3.63420i | 1.63723 | − | 0.127535i | ||||
\(813\) | 29.3705i | 1.03007i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.11460 | −0.109100 | ||||||||
\(816\) | −12.0439 | + | 23.5442i | −0.421619 | + | 0.824213i | ||||
\(817\) | 18.1696 | + | 55.9202i | 0.635673 | + | 1.95640i | ||||
\(818\) | −0.759665 | − | 3.82709i | −0.0265611 | − | 0.133811i | ||||
\(819\) | −1.15926 | + | 1.59559i | −0.0405079 | + | 0.0557544i | ||||
\(820\) | −0.0919241 | − | 0.222427i | −0.00321013 | − | 0.00776750i | ||||
\(821\) | −3.51720 | − | 1.14281i | −0.122751 | − | 0.0398842i | 0.246997 | − | 0.969016i | \(-0.420556\pi\) |
−0.369748 | + | 0.929132i | \(0.620556\pi\) | |||||||
\(822\) | 26.6621 | − | 28.8198i | 0.929947 | − | 1.00520i | ||||
\(823\) | 27.6131 | − | 20.0621i | 0.962531 | − | 0.699320i | 0.00879404 | − | 0.999961i | \(-0.497201\pi\) |
0.953737 | + | 0.300641i | \(0.0972007\pi\) | |||||||
\(824\) | −0.652130 | + | 16.1054i | −0.0227180 | + | 0.561057i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.47006 | + | 4.41475i | 0.0859444 | + | 0.153609i | ||||
\(827\) | 14.2168 | + | 19.5677i | 0.494366 | + | 0.680437i | 0.981186 | − | 0.193066i | \(-0.0618431\pi\) |
−0.486819 | + | 0.873503i | \(0.661843\pi\) | |||||||
\(828\) | 1.10621 | + | 0.266513i | 0.0384434 | + | 0.00926196i | ||||
\(829\) | 52.2261 | + | 16.9693i | 1.81389 | + | 0.589368i | 0.999965 | + | 0.00839565i | \(0.00267245\pi\) |
0.813923 | + | 0.580972i | \(0.197328\pi\) | |||||||
\(830\) | −5.53422 | − | 0.657262i | −0.192096 | − | 0.0228139i | ||||
\(831\) | −22.2708 | − | 16.1807i | −0.772564 | − | 0.561301i | ||||
\(832\) | −13.6553 | − | 5.69461i | −0.473411 | − | 0.197425i | ||||
\(833\) | 8.82313 | + | 27.1548i | 0.305703 | + | 0.940859i | ||||
\(834\) | −9.05055 | + | 19.6115i | −0.313395 | + | 0.679092i | ||||
\(835\) | − | 3.29218i | − | 0.113931i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 43.7293i | 1.51151i | ||||||||
\(838\) | 37.1610 | + | 17.1495i | 1.28371 | + | 0.592419i | ||||
\(839\) | 5.00053 | + | 15.3901i | 0.172638 | + | 0.531324i | 0.999518 | − | 0.0310544i | \(-0.00988650\pi\) |
−0.826880 | + | 0.562378i | \(0.809887\pi\) | |||||||
\(840\) | −5.22077 | − | 1.93316i | −0.180134 | − | 0.0667004i | ||||
\(841\) | 6.42777 | + | 4.67005i | 0.221647 | + | 0.161036i | ||||
\(842\) | −3.02612 | + | 25.4803i | −0.104287 | + | 0.878109i | ||||
\(843\) | 5.68881 | + | 1.84841i | 0.195933 | + | 0.0636625i | ||||
\(844\) | 2.90262 | − | 12.0478i | 0.0999123 | − | 0.414704i | ||||
\(845\) | −1.59049 | − | 2.18913i | −0.0547146 | − | 0.0753083i | ||||
\(846\) | −0.382605 | + | 0.214068i | −0.0131542 | + | 0.00735983i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 32.0751 | − | 16.2785i | 1.10147 | − | 0.559007i | ||||
\(849\) | −10.8565 | + | 7.88773i | −0.372595 | + | 0.270706i | ||||
\(850\) | −18.6545 | − | 17.2578i | −0.639843 | − | 0.591939i | ||||
\(851\) | 15.4352 | + | 5.01520i | 0.529111 | + | 0.171919i | ||||
\(852\) | 9.48700 | + | 22.9556i | 0.325019 | + | 0.786444i | ||||
\(853\) | 15.0618 | − | 20.7308i | 0.515707 | − | 0.709810i | −0.469161 | − | 0.883112i | \(-0.655444\pi\) |
0.984869 | + | 0.173302i | \(0.0554438\pi\) | |||||||
\(854\) | 51.3705 | − | 10.1969i | 1.75786 | − | 0.348930i | ||||
\(855\) | −0.124911 | − | 0.384437i | −0.00427187 | − | 0.0131475i | ||||
\(856\) | −5.21835 | + | 3.47774i | −0.178359 | + | 0.118867i | ||||
\(857\) | −15.4515 | −0.527812 | −0.263906 | − | 0.964548i | \(-0.585011\pi\) | ||||
−0.263906 | + | 0.964548i | \(0.585011\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.1299i | 0.413867i | 0.978355 | + | 0.206934i | \(0.0663485\pi\) | ||||
−0.978355 | + | 0.206934i | \(0.933652\pi\) | |||||||
\(860\) | −0.499392 | − | 6.41091i | −0.0170291 | − | 0.218610i | ||||
\(861\) | −2.82345 | + | 0.917394i | −0.0962228 | + | 0.0312647i | ||||
\(862\) | −3.67588 | − | 18.5186i | −0.125201 | − | 0.630746i | ||||
\(863\) | 24.0787 | + | 17.4942i | 0.819649 | + | 0.595510i | 0.916612 | − | 0.399778i | \(-0.130913\pi\) |
−0.0969627 | + | 0.995288i | \(0.530913\pi\) | |||||||
\(864\) | 26.1799 | − | 9.59886i | 0.890658 | − | 0.326560i | ||||
\(865\) | 1.11880 | − | 3.44332i | 0.0380404 | − | 0.117076i | ||||
\(866\) | −12.8749 | − | 11.9110i | −0.437506 | − | 0.404751i | ||||
\(867\) | 3.89575 | + | 5.36204i | 0.132307 | + | 0.182105i | ||||
\(868\) | 35.7325 | − | 58.2056i | 1.21284 | − | 1.97563i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −2.14613 | − | 3.83578i | −0.0727605 | − | 0.130045i | ||||
\(871\) | −0.545123 | + | 0.396055i | −0.0184708 | + | 0.0134198i | ||||
\(872\) | −0.275247 | − | 0.980453i | −0.00932105 | − | 0.0332023i | ||||
\(873\) | 0.993778 | − | 3.05853i | 0.0336343 | − | 0.103516i | ||||
\(874\) | −1.76924 | + | 14.8972i | −0.0598455 | + | 0.503906i | ||||
\(875\) | 6.34000 | − | 8.72627i | 0.214331 | − | 0.295002i | ||||
\(876\) | −27.1133 | + | 23.1194i | −0.916072 | + | 0.781133i | ||||
\(877\) | 16.1828 | − | 5.25811i | 0.546454 | − | 0.177554i | −0.0227629 | − | 0.999741i | \(-0.507246\pi\) |
0.569217 | + | 0.822187i | \(0.307246\pi\) | |||||||
\(878\) | −3.96453 | + | 8.59070i | −0.133797 | + | 0.289922i | ||||
\(879\) | 54.4053 | 1.83505 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 10.3132 | 0.347461 | 0.173730 | − | 0.984793i | \(-0.444418\pi\) | ||||
0.173730 | + | 0.984793i | \(0.444418\pi\) | |||||||
\(882\) | −1.28345 | + | 2.78110i | −0.0432161 | + | 0.0936445i | ||||
\(883\) | 42.4641 | − | 13.7974i | 1.42903 | − | 0.464321i | 0.510572 | − | 0.859835i | \(-0.329434\pi\) |
0.918460 | + | 0.395515i | \(0.129434\pi\) | |||||||
\(884\) | 10.2791 | − | 8.76501i | 0.345725 | − | 0.294799i | ||||
\(885\) | 0.279291 | − | 0.384411i | 0.00938826 | − | 0.0129218i | ||||
\(886\) | −2.84964 | + | 23.9943i | −0.0957356 | + | 0.806104i | ||||
\(887\) | 4.02899 | − | 12.4000i | 0.135280 | − | 0.416350i | −0.860353 | − | 0.509698i | \(-0.829757\pi\) |
0.995633 | + | 0.0933485i | \(0.0297571\pi\) | |||||||
\(888\) | −38.9587 | + | 10.9370i | −1.30737 | + | 0.367023i | ||||
\(889\) | −45.4331 | + | 33.0091i | −1.52378 | + | 1.10709i | ||||
\(890\) | 3.27321 | + | 5.85021i | 0.109718 | + | 0.196100i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.651384 | + | 1.06106i | −0.0218100 | + | 0.0355268i | ||||
\(893\) | −3.39756 | − | 4.67634i | −0.113695 | − | 0.156488i | ||||
\(894\) | 37.2652 | + | 34.4753i | 1.24634 | + | 1.15303i | ||||
\(895\) | 0.193657 | − | 0.596016i | 0.00647326 | − | 0.0199226i | ||||
\(896\) | −42.6901 | − | 8.61586i | −1.42618 | − | 0.287836i | ||||
\(897\) | −5.56213 | − | 4.04112i | −0.185714 | − | 0.134929i | ||||
\(898\) | 0.458205 | + | 2.30837i | 0.0152905 | + | 0.0770315i | ||||
\(899\) | 51.2833 | − | 16.6629i | 1.71039 | − | 0.555740i | ||||
\(900\) | −0.211722 | − | 2.71797i | −0.00705740 | − | 0.0905990i | ||||
\(901\) | 32.8422i | 1.09413i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −79.3191 | −2.63957 | ||||||||
\(904\) | 10.7909 | + | 16.1917i | 0.358900 | + | 0.538529i | ||||
\(905\) | 0.829018 | + | 2.55146i | 0.0275575 | + | 0.0848133i | ||||
\(906\) | 32.4287 | − | 6.43699i | 1.07737 | − | 0.213855i | ||||
\(907\) | 5.62962 | − | 7.74851i | 0.186928 | − | 0.257285i | −0.705259 | − | 0.708949i | \(-0.749170\pi\) |
0.892188 | + | 0.451664i | \(0.149170\pi\) | |||||||
\(908\) | 5.54729 | + | 13.4227i | 0.184093 | + | 0.445448i | ||||
\(909\) | −0.836098 | − | 0.271665i | −0.0277316 | − | 0.00901055i | ||||
\(910\) | 2.08746 | + | 1.93118i | 0.0691987 | + | 0.0640180i | ||||
\(911\) | −25.0719 | + | 18.2158i | −0.830670 | + | 0.603517i | −0.919749 | − | 0.392507i | \(-0.871608\pi\) |
0.0890787 | + | 0.996025i | \(0.471608\pi\) | |||||||
\(912\) | −16.9277 | − | 33.3543i | −0.560533 | − | 1.10447i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 27.7061 | − | 15.5016i | 0.916436 | − | 0.512748i | ||||
\(915\) | −2.89145 | − | 3.97975i | −0.0955885 | − | 0.131566i | ||||
\(916\) | 10.3950 | − | 43.1461i | 0.343459 | − | 1.42559i | ||||
\(917\) | 5.42422 | + | 1.76244i | 0.179124 | + | 0.0582008i | ||||
\(918\) | −3.00258 | + | 25.2821i | −0.0991000 | + | 0.834433i | ||||
\(919\) | 38.3106 | + | 27.8343i | 1.26375 | + | 0.918168i | 0.998935 | − | 0.0461319i | \(-0.0146894\pi\) |
0.264814 | + | 0.964300i | \(0.414689\pi\) | |||||||
\(920\) | 0.569705 | − | 1.53857i | 0.0187826 | − | 0.0507251i | ||||
\(921\) | −4.66369 | − | 14.3534i | −0.153674 | − | 0.472960i | ||||
\(922\) | 15.4790 | + | 7.14342i | 0.509774 | + | 0.235256i | ||||
\(923\) | − | 12.6878i | − | 0.417623i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 38.8844i | − | 1.27851i | ||||||
\(926\) | 24.6358 | − | 53.3829i | 0.809581 | − | 1.75427i | ||||
\(927\) | −0.487874 | − | 1.50152i | −0.0160239 | − | 0.0493165i | ||||
\(928\) | −21.2328 | − | 27.0447i | −0.697000 | − | 0.887785i | ||||
\(929\) | 39.8208 | + | 28.9315i | 1.30648 | + | 0.949212i | 0.999996 | − | 0.00266492i | \(-0.000848271\pi\) |
0.306481 | + | 0.951877i | \(0.400848\pi\) | |||||||
\(930\) | −6.37035 | − | 0.756564i | −0.208892 | − | 0.0248087i | ||||
\(931\) | −38.4067 | − | 12.4791i | −1.25873 | − | 0.408985i | ||||
\(932\) | 9.62152 | + | 2.31806i | 0.315163 | + | 0.0759306i | ||||
\(933\) | −1.35720 | − | 1.86802i | −0.0444327 | − | 0.0611564i | ||||
\(934\) | −26.7984 | − | 47.8968i | −0.876869 | − | 1.56723i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.44797 | + | 0.0586306i | 0.0473285 | + | 0.00191640i | ||||
\(937\) | −22.2420 | + | 16.1598i | −0.726615 | + | 0.527917i | −0.888491 | − | 0.458894i | \(-0.848246\pi\) |
0.161876 | + | 0.986811i | \(0.448246\pi\) | |||||||
\(938\) | −1.34693 | + | 1.45593i | −0.0439789 | + | 0.0475380i | ||||
\(939\) | −11.0305 | − | 3.58402i | −0.359966 | − | 0.116960i | ||||
\(940\) | 0.241446 | + | 0.584223i | 0.00787510 | + | 0.0190553i | ||||
\(941\) | 28.0342 | − | 38.5857i | 0.913887 | − | 1.25786i | −0.0519343 | − | 0.998651i | \(-0.516539\pi\) |
0.965822 | − | 0.259208i | \(-0.0834614\pi\) | |||||||
\(942\) | −2.32372 | − | 11.7066i | −0.0757110 | − | 0.381422i | ||||
\(943\) | −0.270357 | − | 0.832074i | −0.00880404 | − | 0.0270960i | ||||
\(944\) | 1.69280 | − | 3.30922i | 0.0550960 | − | 0.107706i | ||||
\(945\) | −5.35959 | −0.174348 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 48.8887i | − | 1.58867i | −0.607481 | − | 0.794334i | \(-0.707820\pi\) | ||
0.607481 | − | 0.794334i | \(-0.292180\pi\) | |||||||
\(948\) | 7.46250 | − | 0.581308i | 0.242371 | − | 0.0188800i | ||||
\(949\) | 17.3102 | − | 5.62444i | 0.561914 | − | 0.182577i | ||||
\(950\) | 35.2553 | − | 6.99806i | 1.14383 | − | 0.227047i | ||||
\(951\) | −28.0370 | − | 20.3701i | −0.909162 | − | 0.660545i | ||||
\(952\) | 24.6553 | − | 31.1981i | 0.799083 | − | 1.01113i | ||||
\(953\) | 10.5395 | − | 32.4372i | 0.341407 | − | 1.05074i | −0.622072 | − | 0.782960i | \(-0.713709\pi\) |
0.963479 | − | 0.267784i | \(-0.0862913\pi\) | |||||||
\(954\) | −2.39256 | + | 2.58619i | −0.0774621 | + | 0.0837309i | ||||
\(955\) | −2.56922 | − | 3.53623i | −0.0831380 | − | 0.114430i | ||||
\(956\) | 11.1711 | − | 18.1968i | 0.361298 | − | 0.588528i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −38.8303 | + | 21.7256i | −1.25455 | + | 0.701923i | ||||
\(959\) | −47.7592 | + | 34.6991i | −1.54223 | + | 1.12049i | ||||
\(960\) | 0.945392 | + | 3.97988i | 0.0305124 | + | 0.128450i | ||||
\(961\) | 14.7405 | − | 45.3666i | 0.475500 | − | 1.46344i | ||||
\(962\) | 20.5254 | + | 2.43767i | 0.661766 | + | 0.0785935i | ||||
\(963\) | 0.361041 | − | 0.496930i | 0.0116344 | − | 0.0160134i | ||||
\(964\) | 9.27152 | + | 10.8731i | 0.298616 | + | 0.350201i | ||||
\(965\) | 2.11108 | − | 0.685933i | 0.0679582 | − | 0.0220810i | ||||
\(966\) | −18.3754 | − | 8.48008i | −0.591218 | − | 0.272842i | ||||
\(967\) | −37.5143 | −1.20638 | −0.603189 | − | 0.797598i | \(-0.706104\pi\) | ||||
−0.603189 | + | 0.797598i | \(0.706104\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 34.1519 | 1.09712 | ||||||||
\(970\) | −4.21027 | − | 1.94300i | −0.135184 | − | 0.0623861i | ||||
\(971\) | 14.0935 | − | 4.57927i | 0.452283 | − | 0.146956i | −0.0740125 | − | 0.997257i | \(-0.523580\pi\) |
0.526296 | + | 0.850302i | \(0.323580\pi\) | |||||||
\(972\) | −4.36795 | + | 3.72454i | −0.140102 | + | 0.119465i | ||||
\(973\) | 19.0894 | − | 26.2743i | 0.611977 | − | 0.842314i | ||||
\(974\) | −49.2529 | − | 5.84944i | −1.57817 | − | 0.187428i | ||||
\(975\) | −5.09020 | + | 15.6660i | −0.163017 | + | 0.501715i | ||||
\(976\) | −27.1674 | − | 27.2544i | −0.869607 | − | 0.872393i | ||||
\(977\) | −49.1396 | + | 35.7020i | −1.57211 | + | 1.14221i | −0.647018 | + | 0.762475i | \(0.723984\pi\) |
−0.925096 | + | 0.379733i | \(0.876016\pi\) | |||||||
\(978\) | 24.6355 | − | 13.7836i | 0.787755 | − | 0.440750i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.76378 | + | 2.31059i | 0.120230 | + | 0.0738091i | ||||
\(981\) | 0.0586297 | + | 0.0806968i | 0.00187190 | + | 0.00257645i | ||||
\(982\) | −15.8726 | + | 17.1572i | −0.506516 | + | 0.547507i | ||||
\(983\) | −6.33680 | + | 19.5027i | −0.202113 | + | 0.622038i | 0.797707 | + | 0.603045i | \(0.206046\pi\) |
−0.999820 | + | 0.0189933i | \(0.993954\pi\) | |||||||
\(984\) | 1.71144 | + | 1.35252i | 0.0545586 | + | 0.0431167i | ||||
\(985\) | −4.84194 | − | 3.51787i | −0.154277 | − | 0.112089i | ||||
\(986\) | 30.7935 | − | 6.11242i | 0.980666 | − | 0.194659i | ||||
\(987\) | 7.41601 | − | 2.40961i | 0.236054 | − | 0.0766987i | ||||
\(988\) | 1.48383 | + | 19.0485i | 0.0472068 | + | 0.606014i | ||||
\(989\) | − | 23.3754i | − | 0.743296i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 47.2702 | 1.50159 | 0.750793 | − | 0.660537i | \(-0.229672\pi\) | ||||
0.750793 | + | 0.660537i | \(0.229672\pi\) | |||||||
\(992\) | −50.1492 | + | 1.86997i | −1.59224 | + | 0.0593716i | ||||
\(993\) | 3.19818 | + | 9.84300i | 0.101491 | + | 0.312358i | ||||
\(994\) | −7.27154 | − | 36.6330i | −0.230639 | − | 1.16193i | ||||
\(995\) | −0.867908 | + | 1.19457i | −0.0275145 | + | 0.0378705i | ||||
\(996\) | 46.6826 | − | 19.2928i | 1.47919 | − | 0.611317i | ||||
\(997\) | 53.7652 | + | 17.4694i | 1.70276 | + | 0.553261i | 0.989102 | − | 0.147231i | \(-0.0470360\pi\) |
0.713660 | + | 0.700492i | \(0.247036\pi\) | |||||||
\(998\) | −16.2662 | + | 17.5825i | −0.514897 | + | 0.556565i | ||||
\(999\) | −31.5160 | + | 22.8977i | −0.997121 | + | 0.724451i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))