Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 460.1 | ||
Root | \(-0.978148 + 0.207912i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 891.460 |
Dual form | 891.2.n.c.676.1 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.75181 | − | 1.94558i | −1.23871 | − | 1.37573i | −0.900613 | − | 0.434622i | \(-0.856882\pi\) |
−0.338101 | − | 0.941110i | \(-0.609785\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.507392 | + | 4.82751i | −0.253696 | + | 2.41376i | ||||
\(5\) | −0.413545 | + | 0.459289i | −0.184943 | + | 0.205400i | −0.828486 | − | 0.560010i | \(-0.810797\pi\) |
0.643543 | + | 0.765410i | \(0.277464\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.913545 | + | 0.406737i | −0.345288 | + | 0.153732i | −0.572051 | − | 0.820218i | \(-0.693852\pi\) |
0.226764 | + | 0.973950i | \(0.427186\pi\) | |||||||
\(8\) | 6.04508 | − | 4.39201i | 2.13726 | − | 1.55281i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.61803 | 0.511667 | ||||||||
\(11\) | 1.84894 | − | 2.75344i | 0.557477 | − | 0.830192i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.230909 | + | 0.0490813i | −0.0640427 | + | 0.0136127i | −0.239822 | − | 0.970817i | \(-0.577089\pi\) |
0.175779 | + | 0.984430i | \(0.443756\pi\) | |||||||
\(14\) | 2.39169 | + | 1.06485i | 0.639207 | + | 0.284593i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −9.63877 | − | 2.04878i | −2.40969 | − | 0.512196i | ||||
\(17\) | −0.354102 | − | 1.08981i | −0.0858823 | − | 0.264319i | 0.898888 | − | 0.438178i | \(-0.144376\pi\) |
−0.984770 | + | 0.173860i | \(0.944376\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.73607 | + | 3.44095i | −1.08653 | + | 0.789409i | −0.978810 | − | 0.204772i | \(-0.934355\pi\) |
−0.107719 | + | 0.994181i | \(0.534355\pi\) | |||||||
\(20\) | −2.00739 | − | 2.22943i | −0.448866 | − | 0.498517i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.59602 | + | 1.22622i | −1.83268 | + | 0.261432i | ||||
\(23\) | −0.118034 | − | 0.204441i | −0.0246118 | − | 0.0426289i | 0.853457 | − | 0.521163i | \(-0.174502\pi\) |
−0.878069 | + | 0.478534i | \(0.841168\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.482716 | + | 4.59274i | 0.0965432 | + | 0.918547i | ||||
\(26\) | 0.500000 | + | 0.363271i | 0.0980581 | + | 0.0712434i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.50000 | − | 4.61653i | −0.283473 | − | 0.872441i | ||||
\(29\) | −5.48127 | + | 2.44042i | −1.01785 | + | 0.453175i | −0.846700 | − | 0.532071i | \(-0.821414\pi\) |
−0.171147 | + | 0.985246i | \(0.554747\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.95709 | − | 1.26622i | 1.06992 | − | 0.227419i | 0.360901 | − | 0.932604i | \(-0.382469\pi\) |
0.709023 | + | 0.705185i | \(0.249136\pi\) | |||||||
\(32\) | 5.42705 | + | 9.39993i | 0.959376 | + | 1.66169i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.50000 | + | 2.59808i | −0.257248 | + | 0.445566i | ||||
\(35\) | 0.190983 | − | 0.587785i | 0.0322820 | − | 0.0993538i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.04508 | + | 3.66547i | 0.829407 | + | 0.602599i | 0.919391 | − | 0.393344i | \(-0.128682\pi\) |
−0.0899846 | + | 0.995943i | \(0.528682\pi\) | |||||||
\(38\) | 14.9913 | + | 3.18650i | 2.43191 | + | 0.516919i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.482716 | + | 4.59274i | −0.0763241 | + | 0.726175i | ||||
\(41\) | 0.215659 | + | 0.0960175i | 0.0336803 | + | 0.0149954i | 0.423508 | − | 0.905893i | \(-0.360799\pi\) |
−0.389827 | + | 0.920888i | \(0.627465\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.35410 | − | 5.80948i | 0.511496 | − | 0.885937i | −0.488415 | − | 0.872611i | \(-0.662425\pi\) |
0.999911 | − | 0.0133254i | \(-0.00424174\pi\) | |||||||
\(44\) | 12.3541 | + | 10.3229i | 1.86245 | + | 1.55623i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.190983 | + | 0.587785i | −0.0281589 | + | 0.0866642i | ||||
\(47\) | 1.05471 | + | 10.0349i | 0.153845 | + | 1.46374i | 0.750302 | + | 0.661095i | \(0.229908\pi\) |
−0.596457 | + | 0.802645i | \(0.703425\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.01478 | + | 4.45887i | −0.573541 | + | 0.636981i | ||||
\(50\) | 8.08990 | − | 8.98475i | 1.14409 | − | 1.27064i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.119779 | − | 1.13962i | −0.0166104 | − | 0.158037i | ||||
\(53\) | −0.118034 | + | 0.363271i | −0.0162132 | + | 0.0498991i | −0.958836 | − | 0.283961i | \(-0.908351\pi\) |
0.942623 | + | 0.333860i | \(0.108351\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.500000 | + | 1.98787i | 0.0674200 | + | 0.268044i | ||||
\(56\) | −3.73607 | + | 6.47106i | −0.499253 | + | 0.864732i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 14.3502 | + | 6.38910i | 1.88427 | + | 0.838930i | ||||
\(59\) | −0.771626 | + | 7.34153i | −0.100457 | + | 0.955785i | 0.821948 | + | 0.569562i | \(0.192887\pi\) |
−0.922405 | + | 0.386223i | \(0.873779\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.3096 | + | 2.40394i | 1.44805 | + | 0.307793i | 0.863823 | − | 0.503796i | \(-0.168064\pi\) |
0.584229 | + | 0.811589i | \(0.301397\pi\) | |||||||
\(62\) | −12.8992 | − | 9.37181i | −1.63820 | − | 1.19022i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.69098 | − | 8.28199i | 0.336373 | − | 1.03525i | ||||
\(65\) | 0.0729490 | − | 0.126351i | 0.00904821 | − | 0.0156720i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.927051 | − | 1.60570i | −0.113257 | − | 0.196167i | 0.803824 | − | 0.594867i | \(-0.202795\pi\) |
−0.917082 | + | 0.398699i | \(0.869462\pi\) | |||||||
\(68\) | 5.44076 | − | 1.15647i | 0.659789 | − | 0.140242i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.47815 | + | 0.658114i | −0.176672 | + | 0.0786596i | ||||
\(71\) | 3.19098 | + | 9.82084i | 0.378700 | + | 1.16552i | 0.940948 | + | 0.338550i | \(0.109937\pi\) |
−0.562248 | + | 0.826968i | \(0.690063\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.61803 | + | 3.35520i | 0.540500 | + | 0.392696i | 0.824271 | − | 0.566196i | \(-0.191585\pi\) |
−0.283771 | + | 0.958892i | \(0.591585\pi\) | |||||||
\(74\) | −1.70656 | − | 16.2368i | −0.198383 | − | 1.88749i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −14.2082 | − | 24.6093i | −1.62979 | − | 2.82288i | ||||
\(77\) | −0.569171 | + | 3.26742i | −0.0648630 | + | 0.372357i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.36044 | + | 8.17459i | 0.828114 | + | 0.919714i | 0.997834 | − | 0.0657787i | \(-0.0209531\pi\) |
−0.169720 | + | 0.985492i | \(0.554286\pi\) | |||||||
\(80\) | 4.92705 | − | 3.57971i | 0.550861 | − | 0.400224i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.190983 | − | 0.587785i | −0.0210905 | − | 0.0649100i | ||||
\(83\) | −1.43997 | − | 0.306074i | −0.158057 | − | 0.0335960i | 0.128204 | − | 0.991748i | \(-0.459079\pi\) |
−0.286260 | + | 0.958152i | \(0.592412\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.646976 | + | 0.288052i | 0.0701745 | + | 0.0312437i | ||||
\(86\) | −17.1785 | + | 3.65141i | −1.85241 | + | 0.393742i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.916102 | − | 24.7653i | −0.0976568 | − | 2.63999i | ||||
\(89\) | −8.23607 | −0.873021 | −0.436511 | − | 0.899699i | \(-0.643786\pi\) | ||||
−0.436511 | + | 0.899699i | \(0.643786\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.190983 | − | 0.138757i | 0.0200205 | − | 0.0145457i | ||||
\(92\) | 1.04683 | − | 0.466079i | 0.109140 | − | 0.0485921i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 17.6760 | − | 19.6312i | 1.82314 | − | 2.02481i | ||||
\(95\) | 0.378188 | − | 3.59821i | 0.0388012 | − | 0.369169i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.25542 | + | 5.83674i | 0.533607 | + | 0.592631i | 0.948318 | − | 0.317323i | \(-0.102784\pi\) |
−0.414711 | + | 0.909953i | \(0.636117\pi\) | |||||||
\(98\) | 15.7082 | 1.58677 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −22.4164 | −2.24164 | ||||||||
\(101\) | −6.84927 | − | 7.60688i | −0.681527 | − | 0.756913i | 0.298795 | − | 0.954317i | \(-0.403415\pi\) |
−0.980322 | + | 0.197404i | \(0.936749\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.14399 | − | 10.8843i | 0.112720 | − | 1.07246i | −0.781213 | − | 0.624264i | \(-0.785399\pi\) |
0.893934 | − | 0.448199i | \(-0.147935\pi\) | |||||||
\(104\) | −1.18030 | + | 1.31086i | −0.115738 | + | 0.128540i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.913545 | − | 0.406737i | 0.0887314 | − | 0.0395058i | ||||
\(107\) | 9.28115 | − | 6.74315i | 0.897243 | − | 0.651885i | −0.0405134 | − | 0.999179i | \(-0.512899\pi\) |
0.937756 | + | 0.347294i | \(0.112899\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 2.99165 | − | 4.45515i | 0.285243 | − | 0.424782i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.63877 | − | 2.04878i | 0.910778 | − | 0.193592i | ||||
\(113\) | 12.3074 | + | 5.47961i | 1.15778 | + | 0.515478i | 0.893543 | − | 0.448978i | \(-0.148212\pi\) |
0.264241 | + | 0.964457i | \(0.414879\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.142710 | + | 0.0303339i | 0.0133078 | + | 0.00282865i | ||||
\(116\) | −9.00000 | − | 27.6992i | −0.835629 | − | 2.57180i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 15.6353 | − | 11.3597i | 1.43934 | − | 1.04574i | ||||
\(119\) | 0.766755 | + | 0.851568i | 0.0702884 | + | 0.0780631i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.16282 | − | 10.1819i | −0.378438 | − | 0.925627i | ||||
\(122\) | −15.1353 | − | 26.2150i | −1.37028 | − | 2.37340i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.09010 | + | 29.4004i | 0.277499 | + | 2.64023i | ||||
\(125\) | −4.80902 | − | 3.49396i | −0.430132 | − | 0.312509i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.38197 | + | 7.33094i | 0.211365 | + | 0.650516i | 0.999392 | + | 0.0348741i | \(0.0111030\pi\) |
−0.788026 | + | 0.615641i | \(0.788897\pi\) | |||||||
\(128\) | −0.995920 | + | 0.443412i | −0.0880277 | + | 0.0391925i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.373619 | + | 0.0794152i | −0.0327686 | + | 0.00696517i | ||||
\(131\) | 5.89919 | + | 10.2177i | 0.515414 | + | 0.892724i | 0.999840 | + | 0.0178914i | \(0.00569531\pi\) |
−0.484426 | + | 0.874832i | \(0.660971\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.92705 | − | 5.06980i | 0.253808 | − | 0.439608i | ||||
\(134\) | −1.50000 | + | 4.61653i | −0.129580 | + | 0.398807i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.92705 | − | 5.03280i | −0.593990 | − | 0.431559i | ||||
\(137\) | −9.55057 | − | 2.03004i | −0.815960 | − | 0.173438i | −0.219017 | − | 0.975721i | \(-0.570285\pi\) |
−0.596943 | + | 0.802283i | \(0.703618\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.52218 | + | 14.4825i | −0.129109 | + | 1.22839i | 0.717645 | + | 0.696409i | \(0.245220\pi\) |
−0.846755 | + | 0.531984i | \(0.821447\pi\) | |||||||
\(140\) | 2.74064 | + | 1.22021i | 0.231626 | + | 0.103127i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 13.5172 | − | 23.4125i | 1.13434 | − | 1.96473i | ||||
\(143\) | −0.291796 | + | 0.726543i | −0.0244012 | + | 0.0607565i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.14590 | − | 3.52671i | 0.0951617 | − | 0.292877i | ||||
\(146\) | −1.56210 | − | 14.8624i | −0.129280 | − | 1.23002i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −20.2549 | + | 22.4954i | −1.66494 | + | 1.84911i | ||||
\(149\) | −2.83448 | + | 3.14801i | −0.232210 | + | 0.257895i | −0.847977 | − | 0.530033i | \(-0.822180\pi\) |
0.615767 | + | 0.787928i | \(0.288846\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.110354 | − | 1.04994i | −0.00898045 | − | 0.0854433i | 0.989114 | − | 0.147154i | \(-0.0470112\pi\) |
−0.998094 | + | 0.0617103i | \(0.980345\pi\) | |||||||
\(152\) | −13.5172 | + | 41.6017i | −1.09639 | + | 3.37435i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.35410 | − | 4.61653i | 0.592610 | − | 0.372010i | ||||
\(155\) | −1.88197 | + | 3.25966i | −0.151163 | + | 0.261822i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.3502 | + | 6.38910i | 1.14527 | + | 0.509906i | 0.889546 | − | 0.456845i | \(-0.151021\pi\) |
0.255721 | + | 0.966751i | \(0.417687\pi\) | |||||||
\(158\) | 3.01025 | − | 28.6406i | 0.239483 | − | 2.27852i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.56161 | − | 1.39471i | −0.518741 | − | 0.110262i | ||||
\(161\) | 0.190983 | + | 0.138757i | 0.0150516 | + | 0.0109356i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.59017 | + | 4.89404i | −0.124552 | + | 0.383331i | −0.993819 | − | 0.111011i | \(-0.964591\pi\) |
0.869267 | + | 0.494342i | \(0.164591\pi\) | |||||||
\(164\) | −0.572949 | + | 0.992377i | −0.0447398 | + | 0.0774916i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.92705 | + | 3.33775i | 0.149568 | + | 0.259060i | ||||
\(167\) | −11.7715 | + | 2.50210i | −0.910903 | + | 0.193618i | −0.639449 | − | 0.768833i | \(-0.720838\pi\) |
−0.271454 | + | 0.962452i | \(0.587504\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.8252 | + | 5.26491i | −0.909629 | + | 0.404993i | ||||
\(170\) | −0.572949 | − | 1.76336i | −0.0439432 | − | 0.135243i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 26.3435 | + | 19.1396i | 2.00867 | + | 1.45938i | ||||
\(173\) | 1.88511 | + | 17.9356i | 0.143322 | + | 1.36362i | 0.795683 | + | 0.605713i | \(0.207112\pi\) |
−0.652361 | + | 0.757909i | \(0.726221\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.30902 | − | 3.99933i | −0.174545 | − | 0.302321i | ||||
\(176\) | −23.4627 | + | 22.7516i | −1.76857 | + | 1.71497i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 14.4280 | + | 16.0239i | 1.08142 | + | 1.20104i | ||||
\(179\) | 6.89919 | − | 5.01255i | 0.515669 | − | 0.374656i | −0.299301 | − | 0.954159i | \(-0.596753\pi\) |
0.814970 | + | 0.579503i | \(0.196753\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.781153 | + | 2.40414i | 0.0580626 | + | 0.178698i | 0.975881 | − | 0.218301i | \(-0.0700515\pi\) |
−0.917819 | + | 0.396999i | \(0.870051\pi\) | |||||||
\(182\) | −0.604528 | − | 0.128496i | −0.0448106 | − | 0.00952479i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.61143 | − | 0.717456i | −0.118796 | − | 0.0528915i | ||||
\(185\) | −3.76988 | + | 0.801313i | −0.277167 | + | 0.0589137i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.65545 | − | 1.04001i | −0.267313 | − | 0.0760528i | ||||
\(188\) | −48.9787 | −3.57214 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.66312 | + | 5.56758i | −0.555941 | + | 0.403915i | ||||
\(191\) | −0.748797 | + | 0.333386i | −0.0541810 | + | 0.0241230i | −0.433648 | − | 0.901082i | \(-0.642774\pi\) |
0.379467 | + | 0.925205i | \(0.376107\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.10502 | + | 2.33786i | −0.151522 | + | 0.168283i | −0.814127 | − | 0.580686i | \(-0.802784\pi\) |
0.662605 | + | 0.748969i | \(0.269451\pi\) | |||||||
\(194\) | 2.14935 | − | 20.4497i | 0.154314 | − | 1.46820i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −19.4882 | − | 21.6438i | −1.39201 | − | 1.54599i | ||||
\(197\) | 13.0344 | 0.928666 | 0.464333 | − | 0.885661i | \(-0.346294\pi\) | ||||
0.464333 | + | 0.885661i | \(0.346294\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.70820 | 0.475532 | 0.237766 | − | 0.971322i | \(-0.423585\pi\) | ||||
0.237766 | + | 0.971322i | \(0.423585\pi\) | |||||||
\(200\) | 23.0894 | + | 25.6434i | 1.63267 | + | 1.81326i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.80119 | + | 26.6516i | −0.197091 | + | 1.87520i | ||||
\(203\) | 4.01478 | − | 4.45887i | 0.281783 | − | 0.312951i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.133284 | + | 0.0593421i | −0.00930899 | + | 0.00414463i | ||||
\(206\) | −23.1803 | + | 16.8415i | −1.61505 | + | 1.17340i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.32624 | 0.161296 | ||||||||
\(209\) | 0.717727 | + | 19.4026i | 0.0496462 | + | 1.34211i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.53897 | + | 0.752232i | −0.243633 | + | 0.0517858i | −0.328109 | − | 0.944640i | \(-0.606411\pi\) |
0.0844767 | + | 0.996425i | \(0.473078\pi\) | |||||||
\(212\) | −1.69381 | − | 0.754131i | −0.116331 | − | 0.0517939i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −29.3781 | − | 6.24451i | −2.00825 | − | 0.426866i | ||||
\(215\) | 1.28115 | + | 3.94298i | 0.0873739 | + | 0.268909i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.92705 | + | 3.57971i | −0.334470 | + | 0.243007i | ||||
\(218\) | 21.0217 | + | 23.3469i | 1.42377 | + | 1.58125i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.85016 | + | 1.40513i | −0.664098 | + | 0.0947336i | ||||
\(221\) | 0.135255 | + | 0.234268i | 0.00909823 | + | 0.0157586i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.750550 | − | 7.14101i | −0.0502605 | − | 0.478197i | −0.990483 | − | 0.137636i | \(-0.956050\pi\) |
0.940222 | − | 0.340561i | \(-0.110617\pi\) | |||||||
\(224\) | −8.78115 | − | 6.37988i | −0.586715 | − | 0.426274i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.8992 | − | 33.5442i | −0.725003 | − | 2.23133i | ||||
\(227\) | 12.0408 | − | 5.36093i | 0.799179 | − | 0.355817i | 0.0338254 | − | 0.999428i | \(-0.489231\pi\) |
0.765353 | + | 0.643611i | \(0.222564\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.461819 | + | 0.0981626i | −0.0305178 | + | 0.00648677i | −0.223145 | − | 0.974785i | \(-0.571632\pi\) |
0.192627 | + | 0.981272i | \(0.438299\pi\) | |||||||
\(230\) | −0.190983 | − | 0.330792i | −0.0125930 | − | 0.0218118i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −22.4164 | + | 38.8264i | −1.47171 | + | 2.54908i | ||||
\(233\) | −1.28115 | + | 3.94298i | −0.0839311 | + | 0.258313i | −0.984211 | − | 0.176997i | \(-0.943362\pi\) |
0.900280 | + | 0.435311i | \(0.143362\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.04508 | − | 3.66547i | −0.329105 | − | 0.239109i | ||||
\(236\) | −35.0498 | − | 7.45006i | −2.28155 | − | 0.484958i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.313585 | − | 2.98357i | 0.0203267 | − | 0.193396i | ||||
\(239\) | 0.348943 | + | 0.155360i | 0.0225713 | + | 0.0100494i | 0.417991 | − | 0.908451i | \(-0.362734\pi\) |
−0.395420 | + | 0.918500i | \(0.629401\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.14590 | + | 7.18091i | −0.267061 | + | 0.462563i | −0.968101 | − | 0.250558i | \(-0.919386\pi\) |
0.701041 | + | 0.713121i | \(0.252719\pi\) | |||||||
\(242\) | −12.5172 | + | 25.9358i | −0.804637 | + | 1.66722i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −17.3435 | + | 53.3777i | −1.11030 | + | 3.41716i | ||||
\(245\) | −0.387613 | − | 3.68789i | −0.0247637 | − | 0.235611i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.924716 | − | 1.02700i | 0.0588383 | − | 0.0653465i | ||||
\(248\) | 30.4498 | − | 33.8180i | 1.93357 | − | 2.14744i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.62670 | + | 15.4771i | 0.102882 | + | 0.978855i | ||||
\(251\) | −6.79180 | + | 20.9030i | −0.428694 | + | 1.31939i | 0.470718 | + | 0.882284i | \(0.343995\pi\) |
−0.899412 | + | 0.437102i | \(0.856005\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.781153 | − | 0.0530006i | −0.0491107 | − | 0.00333212i | ||||
\(254\) | 10.0902 | − | 17.4767i | 0.633114 | − | 1.09658i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.3033 | − | 5.92302i | −0.831458 | − | 0.370189i | ||||
\(257\) | −3.10895 | + | 29.5797i | −0.193931 | + | 1.84513i | 0.274445 | + | 0.961603i | \(0.411506\pi\) |
−0.468376 | + | 0.883529i | \(0.655161\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.09979 | − | 1.29655i | −0.379023 | − | 0.0805638i | ||||
\(260\) | 0.572949 | + | 0.416272i | 0.0355328 | + | 0.0258161i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.54508 | − | 29.3768i | 0.589697 | − | 1.81490i | ||||
\(263\) | 7.63525 | − | 13.2246i | 0.470810 | − | 0.815467i | −0.528633 | − | 0.848851i | \(-0.677295\pi\) |
0.999443 | + | 0.0333839i | \(0.0106284\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.118034 | − | 0.204441i | −0.00725077 | − | 0.0125587i | ||||
\(266\) | −14.9913 | + | 3.18650i | −0.919177 | + | 0.195377i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.22191 | − | 3.66063i | 0.502233 | − | 0.223609i | ||||
\(269\) | −7.85410 | − | 24.1724i | −0.478873 | − | 1.47382i | −0.840662 | − | 0.541560i | \(-0.817834\pi\) |
0.361789 | − | 0.932260i | \(-0.382166\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.0623 | − | 10.9434i | −0.914970 | − | 0.664765i | 0.0272970 | − | 0.999627i | \(-0.491310\pi\) |
−0.942267 | + | 0.334863i | \(0.891310\pi\) | |||||||
\(272\) | 1.18031 | + | 11.2299i | 0.0715671 | + | 0.680915i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.7812 | + | 22.1376i | 0.772138 | + | 1.33738i | ||||
\(275\) | 13.5383 | + | 7.16258i | 0.816391 | + | 0.431920i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.5485 | − | 21.7108i | −1.17456 | − | 1.30448i | −0.943437 | − | 0.331551i | \(-0.892428\pi\) |
−0.231118 | − | 0.972926i | \(-0.574238\pi\) | |||||||
\(278\) | 30.8435 | − | 22.4091i | 1.84987 | − | 1.34401i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.42705 | − | 4.39201i | −0.0852826 | − | 0.262473i | ||||
\(281\) | −24.2228 | − | 5.14871i | −1.44501 | − | 0.307146i | −0.582353 | − | 0.812936i | \(-0.697868\pi\) |
−0.862657 | + | 0.505790i | \(0.831201\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.21470 | − | 2.32174i | −0.309982 | − | 0.138013i | 0.245849 | − | 0.969308i | \(-0.420933\pi\) |
−0.555831 | + | 0.831295i | \(0.687600\pi\) | |||||||
\(284\) | −49.0293 | + | 10.4215i | −2.90935 | + | 0.618402i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.92472 | − | 0.705050i | 0.113811 | − | 0.0416905i | ||||
\(287\) | −0.236068 | −0.0139347 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.6910 | − | 9.22054i | 0.746528 | − | 0.542385i | ||||
\(290\) | −8.86889 | + | 3.94868i | −0.520799 | + | 0.231875i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −18.5404 | + | 20.5912i | −1.08500 | + | 1.20501i | ||||
\(293\) | 2.26330 | − | 21.5339i | 0.132223 | − | 1.25802i | −0.704225 | − | 0.709976i | \(-0.748706\pi\) |
0.836449 | − | 0.548045i | \(-0.184628\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.05278 | − | 3.39045i | −0.177740 | − | 0.197400i | ||||
\(296\) | 46.5967 | 2.70838 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.0902 | 0.642436 | ||||||||
\(299\) | 0.0372894 | + | 0.0414140i | 0.00215650 | + | 0.00239504i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.701198 | + | 6.67146i | −0.0404164 | + | 0.384536i | ||||
\(302\) | −1.84943 | + | 2.05400i | −0.106423 | + | 0.118195i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 52.6996 | − | 23.4634i | 3.02253 | − | 1.34572i | ||||
\(305\) | −5.78115 | + | 4.20025i | −0.331028 | + | 0.240506i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.9787 | 1.59683 | 0.798415 | − | 0.602108i | \(-0.205672\pi\) | ||||
0.798415 | + | 0.602108i | \(0.205672\pi\) | |||||||
\(308\) | −15.4847 | − | 4.40554i | −0.882324 | − | 0.251029i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.63877 | − | 2.04878i | 0.547445 | − | 0.116363i | ||||
\(311\) | 10.6451 | + | 4.73949i | 0.603626 | + | 0.268752i | 0.685711 | − | 0.727874i | \(-0.259491\pi\) |
−0.0820850 | + | 0.996625i | \(0.526158\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.47262 | + | 0.525572i | 0.139761 | + | 0.0297071i | 0.277261 | − | 0.960795i | \(-0.410573\pi\) |
−0.137500 | + | 0.990502i | \(0.543907\pi\) | |||||||
\(314\) | −12.7082 | − | 39.1118i | −0.717165 | − | 2.20721i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −43.1976 | + | 31.3849i | −2.43005 | + | 1.76554i | ||||
\(317\) | −4.56324 | − | 5.06800i | −0.256297 | − | 0.284647i | 0.601240 | − | 0.799068i | \(-0.294673\pi\) |
−0.857538 | + | 0.514421i | \(0.828007\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.41502 | + | 19.6045i | −0.191205 | + | 1.09764i | ||||
\(320\) | 2.69098 | + | 4.66092i | 0.150431 | + | 0.260553i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0646021 | − | 0.614648i | −0.00360014 | − | 0.0342530i | ||||
\(323\) | 5.42705 | + | 3.94298i | 0.301969 | + | 0.219393i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.336881 | − | 1.03681i | −0.0186868 | − | 0.0575121i | ||||
\(326\) | 12.3074 | − | 5.47961i | 0.681644 | − | 0.303488i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.72539 | − | 0.366742i | 0.0952685 | − | 0.0202499i | ||||
\(329\) | −5.04508 | − | 8.73834i | −0.278145 | − | 0.481760i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.35410 | + | 14.4697i | −0.459183 | + | 0.795328i | −0.998918 | − | 0.0465067i | \(-0.985191\pi\) |
0.539735 | + | 0.841835i | \(0.318524\pi\) | |||||||
\(332\) | 2.20820 | − | 6.79615i | 0.121191 | − | 0.372987i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 25.4894 | + | 18.5191i | 1.39472 | + | 1.01332i | ||||
\(335\) | 1.12086 | + | 0.238246i | 0.0612390 | + | 0.0130167i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.90036 | − | 18.0807i | 0.103519 | − | 0.984921i | −0.812275 | − | 0.583274i | \(-0.801771\pi\) |
0.915795 | − | 0.401647i | \(-0.131562\pi\) | |||||||
\(338\) | 30.9587 | + | 13.7837i | 1.68393 | + | 0.749735i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.71885 | + | 2.97713i | −0.0932176 | + | 0.161458i | ||||
\(341\) | 7.52786 | − | 18.7436i | 0.407657 | − | 1.01502i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.01722 | − | 12.3637i | 0.216910 | − | 0.667579i | ||||
\(344\) | −5.23945 | − | 49.8500i | −0.282492 | − | 2.68773i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.5929 | − | 35.0874i | 1.69844 | − | 1.88631i | ||||
\(347\) | −1.02234 | + | 1.13542i | −0.0548821 | + | 0.0609528i | −0.769961 | − | 0.638091i | \(-0.779724\pi\) |
0.715079 | + | 0.699044i | \(0.246391\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.32837 | − | 12.6386i | −0.0711060 | − | 0.676528i | −0.970781 | − | 0.239968i | \(-0.922863\pi\) |
0.899675 | − | 0.436560i | \(-0.143803\pi\) | |||||||
\(350\) | −3.73607 | + | 11.4984i | −0.199701 | + | 0.614617i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 35.9164 | + | 2.43690i | 1.91435 | + | 0.129887i | ||||
\(353\) | 6.00000 | − | 10.3923i | 0.319348 | − | 0.553127i | −0.661004 | − | 0.750382i | \(-0.729870\pi\) |
0.980352 | + | 0.197256i | \(0.0632029\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.83022 | − | 2.59578i | −0.309436 | − | 0.137770i | ||||
\(356\) | 4.17891 | − | 39.7597i | 0.221482 | − | 2.10726i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −21.8384 | − | 4.64189i | −1.15419 | − | 0.245331i | ||||
\(359\) | 7.85410 | + | 5.70634i | 0.414524 | + | 0.301169i | 0.775431 | − | 0.631433i | \(-0.217533\pi\) |
−0.360907 | + | 0.932602i | \(0.617533\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.71885 | − | 14.5231i | 0.248360 | − | 0.764375i | ||||
\(362\) | 3.30902 | − | 5.73139i | 0.173918 | − | 0.301235i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.572949 | + | 0.992377i | 0.0300307 | + | 0.0520147i | ||||
\(365\) | −3.45077 | + | 0.733484i | −0.180622 | + | 0.0383923i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.2313 | − | 9.00755i | 1.05606 | − | 0.470190i | 0.196121 | − | 0.980580i | \(-0.437165\pi\) |
0.859943 | + | 0.510389i | \(0.170499\pi\) | |||||||
\(368\) | 0.718847 | + | 2.21238i | 0.0374725 | + | 0.115328i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.16312 | + | 5.93085i | 0.424380 | + | 0.308330i | ||||
\(371\) | −0.0399263 | − | 0.379874i | −0.00207287 | − | 0.0197221i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.444272 | − | 0.769502i | −0.0230035 | − | 0.0398433i | 0.854294 | − | 0.519789i | \(-0.173990\pi\) |
−0.877298 | + | 0.479946i | \(0.840656\pi\) | |||||||
\(374\) | 4.38022 | + | 8.93385i | 0.226496 | + | 0.461958i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 50.4492 | + | 56.0295i | 2.60172 | + | 2.88950i | ||||
\(377\) | 1.14590 | − | 0.832544i | 0.0590168 | − | 0.0428782i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.69098 | − | 23.6704i | −0.395059 | − | 1.21587i | −0.928915 | − | 0.370292i | \(-0.879258\pi\) |
0.533856 | − | 0.845575i | \(-0.320742\pi\) | |||||||
\(380\) | 17.1785 | + | 3.65141i | 0.881240 | + | 0.187313i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.96038 | + | 0.872815i | 0.100302 | + | 0.0446571i | ||||
\(383\) | 12.4305 | − | 2.64218i | 0.635169 | − | 0.135009i | 0.120937 | − | 0.992660i | \(-0.461410\pi\) |
0.514232 | + | 0.857651i | \(0.328077\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.26531 | − | 1.61264i | −0.0644863 | − | 0.0821878i | ||||
\(386\) | 8.23607 | 0.419205 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −30.8435 | + | 22.4091i | −1.56584 | + | 1.13765i | ||||
\(389\) | −33.5661 | + | 14.9446i | −1.70187 | + | 0.757720i | −0.702948 | + | 0.711241i | \(0.748134\pi\) |
−0.998919 | + | 0.0464795i | \(0.985200\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.181006 | + | 0.201028i | −0.00915389 | + | 0.0101664i | ||||
\(392\) | −4.68631 | + | 44.5872i | −0.236694 | + | 2.25199i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −22.8338 | − | 25.3595i | −1.15035 | − | 1.27759i | ||||
\(395\) | −6.79837 | −0.342063 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.7082 | −0.938938 | −0.469469 | − | 0.882949i | \(-0.655555\pi\) | ||||
−0.469469 | + | 0.882949i | \(0.655555\pi\) | |||||||
\(398\) | −11.7515 | − | 13.0513i | −0.589048 | − | 0.654204i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.75673 | − | 45.2573i | 0.237837 | − | 2.26286i | ||||
\(401\) | −21.2027 | + | 23.5480i | −1.05881 | + | 1.17593i | −0.0749152 | + | 0.997190i | \(0.523869\pi\) |
−0.983896 | + | 0.178740i | \(0.942798\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.31340 | + | 0.584763i | −0.0654251 | + | 0.0291291i | ||||
\(404\) | 40.1976 | − | 29.2052i | 1.99990 | − | 1.45301i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −15.7082 | −0.779585 | ||||||||
\(407\) | 19.4207 | − | 7.11407i | 0.962649 | − | 0.352632i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.33070 | − | 1.34563i | 0.313033 | − | 0.0665373i | −0.0487161 | − | 0.998813i | \(-0.515513\pi\) |
0.361749 | + | 0.932275i | \(0.382180\pi\) | |||||||
\(410\) | 0.348943 | + | 0.155360i | 0.0172331 | + | 0.00767266i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 51.9637 | + | 11.0452i | 2.56007 | + | 0.544159i | ||||
\(413\) | −2.28115 | − | 7.02067i | −0.112248 | − | 0.345464i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.736068 | − | 0.534785i | 0.0361322 | − | 0.0262515i | ||||
\(416\) | −1.71452 | − | 1.90416i | −0.0840611 | − | 0.0933593i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 36.4919 | − | 35.3860i | 1.78488 | − | 1.73078i | ||||
\(419\) | −15.7254 | − | 27.2372i | −0.768237 | − | 1.33063i | −0.938518 | − | 0.345230i | \(-0.887801\pi\) |
0.170281 | − | 0.985396i | \(-0.445533\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.09824 | − | 10.4490i | −0.0535248 | − | 0.509254i | −0.988136 | − | 0.153583i | \(-0.950919\pi\) |
0.934611 | − | 0.355671i | \(-0.115748\pi\) | |||||||
\(422\) | 7.66312 | + | 5.56758i | 0.373035 | + | 0.271026i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.881966 | + | 2.71441i | 0.0428321 | + | 0.131824i | ||||
\(425\) | 4.83430 | − | 2.15237i | 0.234498 | − | 0.104405i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.3096 | + | 2.40394i | −0.547312 | + | 0.116335i | ||||
\(428\) | 27.8435 | + | 48.2263i | 1.34586 | + | 2.33111i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.42705 | − | 9.39993i | 0.261716 | − | 0.453305i | ||||
\(431\) | −1.82624 | + | 5.62058i | −0.0879668 | + | 0.270734i | −0.985357 | − | 0.170504i | \(-0.945460\pi\) |
0.897390 | + | 0.441238i | \(0.145460\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.5623 | − | 20.7517i | −1.37262 | − | 0.997264i | −0.997528 | − | 0.0702758i | \(-0.977612\pi\) |
−0.375089 | − | 0.926989i | \(-0.622388\pi\) | |||||||
\(434\) | 15.5959 | + | 3.31500i | 0.748625 | + | 0.159125i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.08870 | − | 57.9301i | 0.291596 | − | 2.77435i | ||||
\(437\) | 1.26249 | + | 0.562096i | 0.0603930 | + | 0.0268887i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.6459 | + | 20.1713i | −0.555828 | + | 0.962723i | 0.442010 | + | 0.897010i | \(0.354266\pi\) |
−0.997839 | + | 0.0657130i | \(0.979068\pi\) | |||||||
\(440\) | 11.7533 | + | 9.82084i | 0.560316 | + | 0.468190i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.218847 | − | 0.673542i | 0.0104095 | − | 0.0320371i | ||||
\(443\) | 3.30276 | + | 31.4237i | 0.156919 | + | 1.49298i | 0.735593 | + | 0.677424i | \(0.236904\pi\) |
−0.578674 | + | 0.815559i | \(0.696430\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.40599 | − | 3.78273i | 0.161459 | − | 0.179319i | ||||
\(446\) | −12.5786 | + | 13.9699i | −0.595612 | + | 0.661495i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.910255 | + | 8.66050i | 0.0430055 | + | 0.409170i | ||||
\(449\) | −2.79837 | + | 8.61251i | −0.132063 | + | 0.406449i | −0.995122 | − | 0.0986549i | \(-0.968546\pi\) |
0.863058 | + | 0.505104i | \(0.168546\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.663119 | − | 0.416272i | 0.0312251 | − | 0.0196015i | ||||
\(452\) | −32.6976 | + | 56.6338i | −1.53796 | + | 2.66383i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −31.5233 | − | 14.0351i | −1.47946 | − | 0.658699i | ||||
\(455\) | −0.0152505 | + | 0.145099i | −0.000714954 | + | 0.00680234i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.4547 | − | 4.98545i | −1.09717 | − | 0.233210i | −0.376447 | − | 0.926438i | \(-0.622854\pi\) |
−0.720718 | + | 0.693228i | \(0.756188\pi\) | |||||||
\(458\) | 1.00000 | + | 0.726543i | 0.0467269 | + | 0.0339491i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.218847 | + | 0.673542i | −0.0102038 | + | 0.0314041i | ||||
\(461\) | −4.63525 | + | 8.02850i | −0.215885 | + | 0.373924i | −0.953546 | − | 0.301247i | \(-0.902597\pi\) |
0.737661 | + | 0.675172i | \(0.235930\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.864745 | − | 1.49778i | −0.0401881 | − | 0.0696079i | 0.845232 | − | 0.534400i | \(-0.179462\pi\) |
−0.885420 | + | 0.464792i | \(0.846129\pi\) | |||||||
\(464\) | 57.8326 | − | 12.2927i | 2.68481 | − | 0.570674i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.91572 | − | 4.41476i | 0.459337 | − | 0.204510i | ||||
\(467\) | 6.45492 | + | 19.8662i | 0.298698 | + | 0.919297i | 0.981954 | + | 0.189119i | \(0.0605631\pi\) |
−0.683256 | + | 0.730179i | \(0.739437\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.50000 | + | 1.08981i | 0.0692636 | + | 0.0503229i | ||||
\(470\) | 1.70656 | + | 16.2368i | 0.0787176 | + | 0.748948i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 27.5795 | + | 47.7691i | 1.26945 | + | 2.19875i | ||||
\(473\) | −9.79447 | − | 19.9767i | −0.450350 | − | 0.918529i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.0896 | − | 20.0905i | −0.830007 | − | 0.921816i | ||||
\(476\) | −4.50000 | + | 3.26944i | −0.206257 | + | 0.149855i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.309017 | − | 0.951057i | −0.0141341 | − | 0.0435003i | ||||
\(479\) | 27.7618 | + | 5.90094i | 1.26847 | + | 0.269621i | 0.792516 | − | 0.609851i | \(-0.208771\pi\) |
0.475951 | + | 0.879472i | \(0.342104\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.34486 | − | 0.598772i | −0.0613205 | − | 0.0273016i | ||||
\(482\) | 21.2338 | − | 4.51339i | 0.967174 | − | 0.205579i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 51.2654 | − | 14.9298i | 2.33024 | − | 0.678629i | ||||
\(485\) | −4.85410 | −0.220413 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.2812 | − | 7.46969i | 0.465884 | − | 0.338484i | −0.329951 | − | 0.943998i | \(-0.607032\pi\) |
0.795835 | + | 0.605514i | \(0.207032\pi\) | |||||||
\(488\) | 78.9259 | − | 35.1401i | 3.57281 | − | 1.59072i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.49606 | + | 7.21460i | −0.293462 | + | 0.325922i | ||||
\(491\) | 1.87209 | − | 17.8117i | 0.0844861 | − | 0.803832i | −0.867448 | − | 0.497528i | \(-0.834241\pi\) |
0.951934 | − | 0.306303i | \(-0.0990922\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.60053 | + | 5.10941i | 0.207198 | + | 0.230116i | ||||
\(494\) | −3.61803 | −0.162783 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −60.0132 | −2.69467 | ||||||||
\(497\) | −6.90960 | − | 7.67389i | −0.309938 | − | 0.344221i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.89676 | − | 18.0465i | 0.0849108 | − | 0.807872i | −0.866340 | − | 0.499454i | \(-0.833534\pi\) |
0.951251 | − | 0.308418i | \(-0.0997994\pi\) | |||||||
\(500\) | 19.3072 | − | 21.4428i | 0.863443 | − | 0.958950i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 52.5663 | − | 23.4040i | 2.34615 | − | 1.04457i | ||||
\(503\) | −7.00000 | + | 5.08580i | −0.312115 | + | 0.226765i | −0.732803 | − | 0.680441i | \(-0.761788\pi\) |
0.420689 | + | 0.907205i | \(0.361788\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.32624 | 0.281514 | ||||||||
\(506\) | 1.26531 | + | 1.61264i | 0.0562500 | + | 0.0716906i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −36.5988 | + | 7.77931i | −1.62381 | + | 0.345151i | ||||
\(509\) | 35.3932 | + | 15.7581i | 1.56877 | + | 0.698463i | 0.992886 | − | 0.119065i | \(-0.0379897\pi\) |
0.575888 | + | 0.817529i | \(0.304656\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.58347 | − | 1.18680i | −0.246998 | − | 0.0525010i | ||||
\(512\) | 12.4549 | + | 38.3323i | 0.550435 | + | 1.69406i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 62.9959 | − | 45.7692i | 2.77863 | − | 2.01879i | ||||
\(515\) | 4.52595 | + | 5.02658i | 0.199437 | + | 0.221498i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 29.5805 | + | 15.6499i | 1.30095 | + | 0.688281i | ||||
\(518\) | 8.16312 | + | 14.1389i | 0.358667 | + | 0.621229i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.113954 | − | 1.08420i | −0.00499720 | − | 0.0475452i | ||||
\(521\) | −7.23607 | − | 5.25731i | −0.317018 | − | 0.230327i | 0.417884 | − | 0.908500i | \(-0.362772\pi\) |
−0.734902 | + | 0.678173i | \(0.762772\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.64590 | + | 17.3763i | 0.246878 | + | 0.759812i | 0.995322 | + | 0.0966140i | \(0.0308013\pi\) |
−0.748444 | + | 0.663198i | \(0.769199\pi\) | |||||||
\(524\) | −52.3192 | + | 23.2940i | −2.28558 | + | 1.01760i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −39.1051 | + | 8.31204i | −1.70506 | + | 0.362422i | ||||
\(527\) | −3.48936 | − | 6.04374i | −0.151999 | − | 0.263270i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4721 | − | 19.8703i | 0.498789 | − | 0.863927i | ||||
\(530\) | −0.190983 | + | 0.587785i | −0.00829577 | + | 0.0255318i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 22.9894 | + | 16.7027i | 0.996715 | + | 0.724156i | ||||
\(533\) | −0.0545103 | − | 0.0115865i | −0.00236110 | − | 0.000501868i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.741125 | + | 7.05133i | −0.0320416 | + | 0.304856i | ||||
\(536\) | −12.6564 | − | 5.63497i | −0.546671 | − | 0.243394i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −33.2705 | + | 57.6262i | −1.43439 | + | 2.48444i | ||||
\(539\) | 4.85410 | + | 19.2986i | 0.209081 | + | 0.831251i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.31559 | + | 7.12667i | −0.0995552 | + | 0.306399i | −0.988414 | − | 0.151782i | \(-0.951499\pi\) |
0.888859 | + | 0.458181i | \(0.151499\pi\) | |||||||
\(542\) | 5.09499 | + | 48.4756i | 0.218849 | + | 2.08221i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.32244 | − | 9.24301i | 0.356822 | − | 0.396291i | ||||
\(545\) | 4.96255 | − | 5.51147i | 0.212572 | − | 0.236085i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.21348 | + | 30.5742i | 0.137399 | + | 1.30726i | 0.818260 | + | 0.574848i | \(0.194939\pi\) |
−0.680862 | + | 0.732412i | \(0.738395\pi\) | |||||||
\(548\) | 14.6459 | − | 45.0754i | 0.625642 | − | 1.92553i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −9.78115 | − | 38.8873i | −0.417070 | − | 1.65816i | ||||
\(551\) | 17.5623 | − | 30.4188i | 0.748179 | − | 1.29588i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.0490 | − | 4.47410i | −0.427327 | − | 0.190258i | ||||
\(554\) | −7.99489 | + | 76.0663i | −0.339670 | + | 3.23175i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −69.1422 | − | 14.6966i | −2.93228 | − | 0.623276i | ||||
\(557\) | −30.4443 | − | 22.1191i | −1.28997 | − | 0.937215i | −0.290161 | − | 0.956978i | \(-0.593709\pi\) |
−0.999805 | + | 0.0197634i | \(0.993709\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.489357 | + | 1.50609i | −0.0206976 | + | 0.0637006i | ||||
\(560\) | −3.04508 | + | 5.27424i | −0.128678 | + | 0.222877i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.4164 | + | 56.1469i | 1.36740 | + | 2.36841i | ||||
\(563\) | −39.7096 | + | 8.44054i | −1.67356 | + | 0.355726i | −0.944446 | − | 0.328666i | \(-0.893401\pi\) |
−0.729114 | + | 0.684392i | \(0.760068\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.60640 | + | 3.38659i | −0.320004 | + | 0.142475i | ||||
\(566\) | 4.61803 | + | 14.2128i | 0.194110 | + | 0.597411i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 62.4230 | + | 45.3530i | 2.61921 | + | 1.90297i | ||||
\(569\) | −3.57282 | − | 33.9931i | −0.149780 | − | 1.42506i | −0.768700 | − | 0.639610i | \(-0.779096\pi\) |
0.618919 | − | 0.785455i | \(-0.287571\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.54508 | + | 7.87232i | 0.190206 | + | 0.329446i | 0.945318 | − | 0.326149i | \(-0.105751\pi\) |
−0.755112 | + | 0.655595i | \(0.772418\pi\) | |||||||
\(572\) | −3.35934 | − | 1.77729i | −0.140461 | − | 0.0743122i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.413545 | + | 0.459289i | 0.0172611 | + | 0.0191703i | ||||
\(575\) | 0.881966 | − | 0.640786i | 0.0367805 | − | 0.0267226i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.79837 | + | 30.1563i | 0.407912 | + | 1.25542i | 0.918439 | + | 0.395562i | \(0.129450\pi\) |
−0.510528 | + | 0.859861i | \(0.670550\pi\) | |||||||
\(578\) | −40.1714 | − | 8.53870i | −1.67091 | − | 0.355163i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 16.4438 | + | 7.32126i | 0.682792 | + | 0.303999i | ||||
\(581\) | 1.43997 | − | 0.306074i | 0.0597399 | − | 0.0126981i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.782006 | + | 0.996667i | 0.0323874 | + | 0.0412777i | ||||
\(584\) | 42.6525 | 1.76497 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −45.8607 | + | 33.3197i | −1.89449 | + | 1.37643i | ||||
\(587\) | −1.94093 | + | 0.864157i | −0.0801107 | + | 0.0356676i | −0.446401 | − | 0.894833i | \(-0.647294\pi\) |
0.366290 | + | 0.930501i | \(0.380628\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −23.8562 | + | 26.4950i | −0.982976 | + | 1.09171i | ||||
\(590\) | −1.24852 | + | 11.8788i | −0.0514006 | + | 0.489044i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −41.1186 | − | 45.6669i | −1.68997 | − | 1.87690i | ||||
\(593\) | −14.0344 | −0.576325 | −0.288163 | − | 0.957581i | \(-0.593044\pi\) | ||||
−0.288163 | + | 0.957581i | \(0.593044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.708204 | −0.0290335 | ||||||||
\(596\) | −13.7589 | − | 15.2808i | −0.563585 | − | 0.625925i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.0152505 | − | 0.145099i | 0.000623639 | − | 0.00593353i | ||||
\(599\) | 8.46616 | − | 9.40262i | 0.345918 | − | 0.384181i | −0.544931 | − | 0.838481i | \(-0.683444\pi\) |
0.890849 | + | 0.454300i | \(0.150111\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.29300 | + | 2.80182i | −0.256697 | + | 0.114289i | −0.531051 | − | 0.847340i | \(-0.678203\pi\) |
0.274354 | + | 0.961629i | \(0.411536\pi\) | |||||||
\(602\) | 14.2082 | − | 10.3229i | 0.579083 | − | 0.420729i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.12461 | 0.208517 | ||||||||
\(605\) | 6.39794 | + | 2.29874i | 0.260113 | + | 0.0934571i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.2004 | − | 3.44350i | 0.657553 | − | 0.139767i | 0.132961 | − | 0.991121i | \(-0.457551\pi\) |
0.524592 | + | 0.851354i | \(0.324218\pi\) | |||||||
\(608\) | −58.0476 | − | 25.8445i | −2.35414 | − | 1.04813i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.2994 | + | 3.88965i | 0.740920 | + | 0.157487i | ||||
\(611\) | −0.736068 | − | 2.26538i | −0.0297781 | − | 0.0916476i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.5623 | − | 8.40051i | 0.466997 | − | 0.339293i | −0.329273 | − | 0.944235i | \(-0.606804\pi\) |
0.796270 | + | 0.604942i | \(0.206804\pi\) | |||||||
\(614\) | −49.0133 | − | 54.4348i | −1.97802 | − | 2.19681i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.9099 | + | 22.2516i | 0.439571 | + | 0.896544i | ||||
\(617\) | −5.59017 | − | 9.68246i | −0.225052 | − | 0.389801i | 0.731283 | − | 0.682074i | \(-0.238922\pi\) |
−0.956335 | + | 0.292273i | \(0.905588\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.52171 | − | 23.9925i | −0.101356 | − | 0.964338i | −0.920498 | − | 0.390747i | \(-0.872217\pi\) |
0.819142 | − | 0.573591i | \(-0.194450\pi\) | |||||||
\(620\) | −14.7812 | − | 10.7391i | −0.593625 | − | 0.431294i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.42705 | − | 29.0135i | −0.377990 | − | 1.16333i | ||||
\(623\) | 7.52402 | − | 3.34991i | 0.301444 | − | 0.134211i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.9921 | + | 4.03690i | −0.759685 | + | 0.161476i | ||||
\(626\) | −3.30902 | − | 5.73139i | −0.132255 | − | 0.229072i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −38.1246 | + | 66.0338i | −1.52134 | + | 2.63503i | ||||
\(629\) | 2.20820 | − | 6.79615i | 0.0880469 | − | 0.270980i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.5451 | − | 11.2942i | −0.618840 | − | 0.449614i | 0.233676 | − | 0.972314i | \(-0.424924\pi\) |
−0.852516 | + | 0.522701i | \(0.824924\pi\) | |||||||
\(632\) | 80.3974 | + | 17.0890i | 3.19804 | + | 0.679763i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.86626 | + | 17.7563i | −0.0741187 | + | 0.705193i | ||||
\(635\) | −4.35207 | − | 1.93767i | −0.172707 | − | 0.0768939i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.708204 | − | 1.22665i | 0.0280601 | − | 0.0486015i | ||||
\(638\) | 44.1246 | − | 27.6992i | 1.74691 | − | 1.09662i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.208204 | − | 0.640786i | 0.00822998 | − | 0.0253293i | ||||
\(641\) | 2.62264 | + | 24.9527i | 0.103588 | + | 0.985573i | 0.915643 | + | 0.401992i | \(0.131682\pi\) |
−0.812055 | + | 0.583581i | \(0.801651\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.9541 | − | 15.4976i | 0.550297 | − | 0.611166i | −0.402261 | − | 0.915525i | \(-0.631775\pi\) |
0.952557 | + | 0.304359i | \(0.0984422\pi\) | |||||||
\(644\) | −0.766755 | + | 0.851568i | −0.0302144 | + | 0.0335565i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.83576 | − | 17.4661i | −0.0722270 | − | 0.687194i | ||||
\(647\) | 13.9164 | − | 42.8303i | 0.547110 | − | 1.68383i | −0.168808 | − | 0.985649i | \(-0.553992\pi\) |
0.715918 | − | 0.698184i | \(-0.246008\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 18.7877 | + | 15.6987i | 0.737483 | + | 0.616227i | ||||
\(650\) | −1.42705 | + | 2.47172i | −0.0559735 | + | 0.0969490i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.8192 | − | 10.1598i | −0.893668 | − | 0.397887i | ||||
\(653\) | 0.587244 | − | 5.58726i | 0.0229807 | − | 0.218646i | −0.977005 | − | 0.213218i | \(-0.931605\pi\) |
0.999985 | − | 0.00542814i | \(-0.00172784\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.13245 | − | 1.51605i | −0.278688 | − | 0.0592370i | ||||
\(656\) | −1.88197 | − | 1.36733i | −0.0734784 | − | 0.0533852i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.16312 | + | 25.1235i | −0.318232 | + | 0.979416i | ||||
\(659\) | 20.5623 | − | 35.6150i | 0.800994 | − | 1.38736i | −0.117969 | − | 0.993017i | \(-0.537638\pi\) |
0.918963 | − | 0.394345i | \(-0.129028\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.2812 | − | 31.6639i | −0.711054 | − | 1.23158i | −0.964462 | − | 0.264223i | \(-0.914885\pi\) |
0.253407 | − | 0.967360i | \(-0.418449\pi\) | |||||||
\(662\) | 42.7868 | − | 9.09461i | 1.66295 | − | 0.353472i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.0490 | + | 4.47410i | −0.389977 | + | 0.173629i | ||||
\(665\) | 1.11803 | + | 3.44095i | 0.0433555 | + | 0.133435i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.14590 | + | 0.832544i | 0.0443693 | + | 0.0322362i | ||||
\(668\) | −6.10618 | − | 58.0964i | −0.236255 | − | 2.24782i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.50000 | − | 2.59808i | −0.0579501 | − | 0.100372i | ||||
\(671\) | 27.5300 | − | 26.6956i | 1.06278 | − | 1.03057i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.9768 | + | 26.6290i | 0.924239 | + | 1.02647i | 0.999570 | + | 0.0293129i | \(0.00933191\pi\) |
−0.0753313 | + | 0.997159i | \(0.524001\pi\) | |||||||
\(674\) | −38.5066 | + | 27.9767i | −1.48322 | + | 1.07762i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.4164 | − | 59.7576i | −0.746785 | − | 2.29837i | ||||
\(677\) | −13.2322 | − | 2.81260i | −0.508557 | − | 0.108097i | −0.0535147 | − | 0.998567i | \(-0.517042\pi\) |
−0.455042 | + | 0.890470i | \(0.650376\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.17508 | − | 3.19455i | −0.275354 | − | 0.122596i | ||||
\(680\) | 5.17616 | − | 1.10023i | 0.198497 | − | 0.0421918i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −49.6545 | + | 18.1891i | −1.90137 | + | 0.696498i | ||||
\(683\) | 9.06888 | 0.347011 | 0.173506 | − | 0.984833i | \(-0.444491\pi\) | ||||
0.173506 | + | 0.984833i | \(0.444491\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.88197 | − | 3.54696i | 0.186530 | − | 0.135522i | ||||
\(686\) | −31.0920 | + | 13.8431i | −1.18710 | + | 0.528530i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −44.2318 | + | 49.1243i | −1.68632 | + | 1.87285i | ||||
\(689\) | 0.00942533 | − | 0.0896760i | 0.000359076 | − | 0.00341638i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.901670 | + | 1.00141i | 0.0343011 | + | 0.0380953i | 0.760051 | − | 0.649863i | \(-0.225174\pi\) |
−0.725750 | + | 0.687958i | \(0.758507\pi\) | |||||||
\(692\) | −87.5410 | −3.32781 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | −6.02218 | − | 6.68830i | −0.228434 | − | 0.253702i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0282760 | − | 0.269028i | 0.00107103 | − | 0.0101902i | ||||
\(698\) | −22.2623 | + | 24.7248i | −0.842641 | + | 0.935848i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.4784 | − | 9.11757i | 0.774011 | − | 0.344612i | ||||
\(701\) | 28.1525 | − | 20.4540i | 1.06330 | − | 0.772536i | 0.0886075 | − | 0.996067i | \(-0.471758\pi\) |
0.974697 | + | 0.223531i | \(0.0717583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −36.5066 | −1.37687 | ||||||||
\(704\) | −17.8285 | − | 22.7224i | −0.671936 | − | 0.856382i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.7299 | + | 6.53184i | −1.15653 | + | 0.245829i | ||||
\(707\) | 9.35111 | + | 4.16338i | 0.351685 | + | 0.156580i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.9697 | − | 2.33168i | −0.411976 | − | 0.0875682i | −0.00273893 | − | 0.999996i | \(-0.500872\pi\) |
−0.409237 | + | 0.912428i | \(0.634205\pi\) | |||||||
\(710\) | 5.16312 | + | 15.8904i | 0.193768 | + | 0.596358i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −49.7877 | + | 36.1729i | −1.86587 | + | 1.35564i | ||||
\(713\) | −0.962005 | − | 1.06841i | −0.0360274 | − | 0.0400125i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.213022 | − | 0.434477i | −0.00796657 | − | 0.0162485i | ||||
\(716\) | 20.6976 | + | 35.8492i | 0.773504 | + | 1.33975i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.65674 | − | 25.2772i | −0.0991486 | − | 0.943336i | ||||
\(719\) | 31.1353 | + | 22.6211i | 1.16115 | + | 0.843624i | 0.989923 | − | 0.141608i | \(-0.0452271\pi\) |
0.171226 | + | 0.985232i | \(0.445227\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.38197 | + | 10.4086i | 0.125951 | + | 0.387637i | ||||
\(722\) | −36.5224 | + | 16.2608i | −1.35922 | + | 0.605165i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.0024 | + | 2.55118i | −0.446065 | + | 0.0948139i | ||||
\(725\) | −13.8541 | − | 23.9960i | −0.514528 | − | 0.891189i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.57295 | − | 7.92058i | 0.169601 | − | 0.293758i | −0.768678 | − | 0.639635i | \(-0.779085\pi\) |
0.938280 | + | 0.345877i | \(0.112419\pi\) | |||||||
\(728\) | 0.545085 | − | 1.67760i | 0.0202022 | − | 0.0621760i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.47214 | + | 5.42882i | 0.276556 | + | 0.200930i | ||||
\(731\) | −7.51894 | − | 1.59820i | −0.278098 | − | 0.0591116i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.0421513 | − | 0.401043i | 0.00155690 | − | 0.0148129i | −0.993716 | − | 0.111932i | \(-0.964296\pi\) |
0.995273 | + | 0.0971191i | \(0.0309628\pi\) | |||||||
\(734\) | −52.9662 | − | 23.5821i | −1.95502 | − | 0.870430i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.28115 | − | 2.21902i | 0.0472239 | − | 0.0817942i | ||||
\(737\) | −6.13525 | − | 0.416272i | −0.225995 | − | 0.0153336i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.927051 | − | 2.85317i | 0.0341021 | − | 0.104956i | −0.932557 | − | 0.361024i | \(-0.882427\pi\) |
0.966659 | + | 0.256068i | \(0.0824272\pi\) | |||||||
\(740\) | −1.95554 | − | 18.6057i | −0.0718871 | − | 0.683960i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.669131 | + | 0.743145i | −0.0245646 | + | 0.0272817i | ||||
\(743\) | −28.6980 | + | 31.8724i | −1.05283 | + | 1.16928i | −0.0676581 | + | 0.997709i | \(0.521553\pi\) |
−0.985171 | + | 0.171576i | \(0.945114\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.273659 | − | 2.60369i | −0.0100261 | − | 0.0953919i | ||||
\(746\) | −0.718847 | + | 2.21238i | −0.0263189 | + | 0.0810011i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.87539 | − | 17.1190i | 0.251389 | − | 0.625933i | ||||
\(749\) | −5.73607 | + | 9.93516i | −0.209591 | + | 0.363023i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.7500 | + | 6.56713i | 0.538236 | + | 0.239638i | 0.657805 | − | 0.753188i | \(-0.271485\pi\) |
−0.119570 | + | 0.992826i | \(0.538152\pi\) | |||||||
\(752\) | 10.3932 | − | 98.8849i | 0.379002 | − | 3.60596i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.62717 | − | 0.770979i | −0.132094 | − | 0.0280774i | ||||
\(755\) | 0.527864 | + | 0.383516i | 0.0192109 | + | 0.0139576i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.54508 | − | 4.75528i | 0.0561571 | − | 0.172834i | −0.919044 | − | 0.394156i | \(-0.871037\pi\) |
0.975201 | + | 0.221322i | \(0.0710371\pi\) | |||||||
\(758\) | −32.5795 | + | 56.4294i | −1.18334 | + | 2.04961i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −13.5172 | − | 23.4125i | −0.490321 | − | 0.849261i | ||||
\(761\) | −28.6517 | + | 6.09011i | −1.03862 | + | 0.220766i | −0.695501 | − | 0.718525i | \(-0.744818\pi\) |
−0.343122 | + | 0.939291i | \(0.611484\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.9625 | − | 4.88084i | 0.396871 | − | 0.176698i | ||||
\(764\) | −1.22949 | − | 3.78398i | −0.0444814 | − | 0.136900i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.9164 | − | 19.5559i | −0.972529 | − | 0.706584i | ||||
\(767\) | −0.182156 | − | 1.73310i | −0.00657728 | − | 0.0625786i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.2533 | + | 29.8836i | 0.622170 | + | 1.07763i | 0.989081 | + | 0.147373i | \(0.0470819\pi\) |
−0.366911 | + | 0.930256i | \(0.619585\pi\) | |||||||
\(770\) | −0.920937 | + | 5.28680i | −0.0331883 | + | 0.190523i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.2180 | − | 11.3482i | −0.367753 | − | 0.408431i | ||||
\(773\) | −21.9894 | + | 15.9762i | −0.790902 | + | 0.574624i | −0.908231 | − | 0.418469i | \(-0.862567\pi\) |
0.117329 | + | 0.993093i | \(0.462567\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.69098 | + | 26.7481i | 0.312189 | + | 0.960820i | ||||
\(776\) | 57.4045 | + | 12.2017i | 2.06070 | + | 0.438015i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 87.8771 | + | 39.1254i | 3.15055 | + | 1.40271i | ||||
\(779\) | −1.35177 | + | 0.287327i | −0.0484321 | + | 0.0102946i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 32.9410 | + | 9.37200i | 1.17872 | + | 0.335357i | ||||
\(782\) | 0.708204 | 0.0253253 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 47.8328 | − | 34.7526i | 1.70831 | − | 1.24116i | ||||
\(785\) | −8.86889 | + | 3.94868i | −0.316544 | + | 0.140935i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.49606 | + | 7.21460i | −0.231559 | + | 0.257173i | −0.847715 | − | 0.530451i | \(-0.822022\pi\) |
0.616156 | + | 0.787624i | \(0.288689\pi\) | |||||||
\(788\) | −6.61357 | + | 62.9239i | −0.235599 | + | 2.24157i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.9094 | + | 13.2268i | 0.423719 | + | 0.470587i | ||||
\(791\) | −13.4721 | −0.479014 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.72949 | −0.0969270 | ||||||||
\(794\) | 32.7732 | + | 36.3983i | 1.16308 | + | 1.29173i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.40369 | + | 32.3839i | −0.120641 | + | 1.14782i | ||||
\(797\) | 12.4064 | − | 13.7787i | 0.439456 | − | 0.488065i | −0.482207 | − | 0.876057i | \(-0.660165\pi\) |
0.921663 | + | 0.387992i | \(0.126831\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.5627 | − | 4.70281i | 0.373681 | − | 0.166374i | ||||
\(800\) | −40.5517 | + | 29.4625i | −1.43372 | + | 1.04166i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 82.9574 | 2.92933 | ||||||||
\(803\) | 17.7768 | − | 6.51189i | 0.627330 | − | 0.229800i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.142710 | + | 0.0303339i | −0.00502986 | + | 0.00106913i | ||||
\(806\) | 3.43852 | + | 1.53093i | 0.121117 | + | 0.0539247i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −74.8139 | − | 15.9022i | −2.63194 | − | 0.559437i | ||||
\(809\) | 8.37132 | + | 25.7643i | 0.294320 | + | 0.905824i | 0.983449 | + | 0.181185i | \(0.0579933\pi\) |
−0.689129 | + | 0.724639i | \(0.742007\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.5795 | + | 21.4908i | −1.03868 | + | 0.754644i | −0.970027 | − | 0.242997i | \(-0.921869\pi\) |
−0.0686507 | + | 0.997641i | \(0.521869\pi\) | |||||||
\(812\) | 19.4882 | + | 21.6438i | 0.683901 | + | 0.759549i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −47.8623 | − | 25.3220i | −1.67757 | − | 0.887537i | ||||
\(815\) | −1.59017 | − | 2.75426i | −0.0557012 | − | 0.0964773i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.10489 | + | 39.0554i | 0.143612 | + | 1.36637i | ||||
\(818\) | −13.7082 | − | 9.95959i | −0.479296 | − | 0.348229i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.218847 | − | 0.673542i | −0.00764247 | − | 0.0235211i | ||||
\(821\) | 37.0870 | − | 16.5122i | 1.29434 | − | 0.576279i | 0.360100 | − | 0.932914i | \(-0.382742\pi\) |
0.934244 | + | 0.356634i | \(0.116076\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 27.2246 | − | 5.78677i | 0.948990 | − | 0.201714i | 0.292684 | − | 0.956209i | \(-0.405452\pi\) |
0.656306 | + | 0.754495i | \(0.272118\pi\) | |||||||
\(824\) | −40.8885 | − | 70.8210i | −1.42442 | − | 2.46717i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.66312 | + | 16.7370i | −0.336223 | + | 0.582355i | ||||
\(827\) | −3.29180 | + | 10.1311i | −0.114467 | + | 0.352293i | −0.991835 | − | 0.127524i | \(-0.959297\pi\) |
0.877369 | + | 0.479817i | \(0.159297\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 25.3992 | + | 18.4536i | 0.882150 | + | 0.640920i | 0.933819 | − | 0.357745i | \(-0.116454\pi\) |
−0.0516692 | + | 0.998664i | \(0.516454\pi\) | |||||||
\(830\) | −2.32991 | − | 0.495239i | −0.0808725 | − | 0.0171900i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.214882 | + | 2.04447i | −0.00744970 | + | 0.0708791i | ||||
\(833\) | 6.28098 | + | 2.79647i | 0.217623 | + | 0.0968920i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.71885 | − | 6.44123i | 0.128696 | − | 0.222908i | ||||
\(836\) | −94.0304 | − | 6.37988i | −3.25211 | − | 0.220653i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −25.4443 | + | 78.3094i | −0.878958 | + | 2.70515i | ||||
\(839\) | 1.86404 | + | 17.7351i | 0.0643537 | + | 0.612285i | 0.978407 | + | 0.206690i | \(0.0662690\pi\) |
−0.914053 | + | 0.405595i | \(0.867064\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.68391 | − | 5.20201i | 0.161514 | − | 0.179380i | ||||
\(842\) | −18.4055 | + | 20.4414i | −0.634295 | + | 0.704456i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.83576 | − | 17.4661i | −0.0631895 | − | 0.601208i | ||||
\(845\) | 2.47214 | − | 7.60845i | 0.0850441 | − | 0.261739i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.94427 | + | 7.60845i | 0.272968 | + | 0.261430i | ||||
\(848\) | 1.88197 | − | 3.25966i | 0.0646270 | − | 0.111937i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −12.6564 | − | 5.63497i | −0.434109 | − | 0.193278i | ||||
\(851\) | 0.153880 | − | 1.46407i | 0.00527494 | − | 0.0501877i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 54.6127 | + | 11.6083i | 1.86990 | + | 0.397460i | 0.996055 | − | 0.0887365i | \(-0.0282829\pi\) |
0.873849 | + | 0.486197i | \(0.161616\pi\) | |||||||
\(854\) | 24.4894 | + | 17.7926i | 0.838009 | + | 0.608849i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 26.4894 | − | 81.5259i | 0.905388 | − | 2.78650i | ||||
\(857\) | −13.8820 | + | 24.0443i | −0.474199 | + | 0.821337i | −0.999564 | − | 0.0295405i | \(-0.990596\pi\) |
0.525365 | + | 0.850877i | \(0.323929\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.2082 | + | 29.8055i | 0.587136 | + | 1.01695i | 0.994605 | + | 0.103731i | \(0.0330781\pi\) |
−0.407469 | + | 0.913219i | \(0.633589\pi\) | |||||||
\(860\) | −19.6848 | + | 4.18414i | −0.671247 | + | 0.142678i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.1345 | − | 6.29308i | 0.481423 | − | 0.214343i | ||||
\(863\) | 0.0344419 | + | 0.106001i | 0.00117241 | + | 0.00360832i | 0.951641 | − | 0.307212i | \(-0.0993962\pi\) |
−0.950469 | + | 0.310821i | \(0.899396\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.01722 | − | 6.55139i | −0.306595 | − | 0.222754i | ||||
\(866\) | 9.66152 | + | 91.9232i | 0.328312 | + | 3.12368i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −14.7812 | − | 25.6017i | −0.501705 | − | 0.868979i | ||||
\(869\) | 36.1172 | − | 5.15213i | 1.22519 | − | 0.174774i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.292875 | + | 0.325270i | 0.00992367 | + | 0.0110214i | ||||
\(872\) | −72.5410 | + | 52.7041i | −2.45655 | + | 1.78479i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.11803 | − | 3.44095i | −0.0378181 | − | 0.116392i | ||||
\(875\) | 5.81438 | + | 1.23588i | 0.196562 | + | 0.0417805i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −52.9347 | − | 23.5681i | −1.78748 | − | 0.795837i | −0.977975 | − | 0.208722i | \(-0.933070\pi\) |
−0.809504 | − | 0.587115i | \(-0.800264\pi\) | |||||||
\(878\) | 59.6462 | − | 12.6782i | 2.01296 | − | 0.427868i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.746669 | − | 20.1850i | −0.0251702 | − | 0.680436i | ||||
\(881\) | 6.20163 | 0.208938 | 0.104469 | − | 0.994528i | \(-0.466686\pi\) | ||||
0.104469 | + | 0.994528i | \(0.466686\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.854102 | + | 0.620541i | −0.0287428 | + | 0.0208829i | −0.602064 | − | 0.798448i | \(-0.705655\pi\) |
0.573321 | + | 0.819331i | \(0.305655\pi\) | |||||||
\(884\) | −1.19956 | + | 0.534079i | −0.0403456 | + | 0.0179630i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 55.3514 | − | 61.4740i | 1.85957 | − | 2.06526i | ||||
\(887\) | 5.69526 | − | 54.1868i | 0.191228 | − | 1.81942i | −0.306264 | − | 0.951947i | \(-0.599079\pi\) |
0.497492 | − | 0.867469i | \(-0.334254\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.15780 | − | 5.72831i | −0.172987 | − | 0.192121i | ||||
\(890\) | −13.3262 | −0.446697 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 34.8541 | 1.16700 | ||||||||
\(893\) | −39.5248 | − | 43.8967i | −1.32265 | − | 1.46895i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.550918 | + | 5.24164i | −0.0184152 | + | 0.175209i | ||||
\(896\) | 0.729466 | − | 0.810154i | 0.0243698 | − | 0.0270654i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21.6585 | − | 9.64300i | 0.722754 | − | 0.321791i | ||||
\(899\) | −29.5623 | + | 21.4783i | −0.985958 | + | 0.716340i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.437694 | 0.0145817 | ||||||||
\(902\) | −1.97155 | − | 0.560922i | −0.0656453 | − | 0.0186767i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 98.4658 | − | 20.9296i | 3.27493 | − | 0.696107i | ||||
\(905\) | −1.42724 | − | 0.635447i | −0.0474430 | − | 0.0211230i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 41.4687 | + | 8.81444i | 1.37695 | + | 0.292679i | 0.836162 | − | 0.548483i | \(-0.184794\pi\) |
0.540783 | + | 0.841162i | \(0.318128\pi\) | |||||||
\(908\) | 19.7705 | + | 60.8474i | 0.656107 | + | 2.01929i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.309017 | − | 0.224514i | 0.0102438 | − | 0.00744257i | ||||
\(911\) | 25.8263 | + | 28.6830i | 0.855662 | + | 0.950309i | 0.999226 | − | 0.0393318i | \(-0.0125229\pi\) |
−0.143564 | + | 0.989641i | \(0.545856\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.50517 | + | 3.39894i | −0.116004 | + | 0.112489i | ||||
\(914\) | 31.3885 | + | 54.3666i | 1.03824 | + | 1.79829i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.239558 | − | 2.27924i | −0.00791522 | − | 0.0753083i | ||||
\(917\) | −9.54508 | − | 6.93491i | −0.315206 | − | 0.229011i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.92705 | + | 24.3970i | 0.261489 | + | 0.804781i | 0.992481 | + | 0.122395i | \(0.0390576\pi\) |
−0.730992 | + | 0.682386i | \(0.760942\pi\) | |||||||
\(920\) | 0.995920 | − | 0.443412i | 0.0328345 | − | 0.0146189i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 23.7401 | − | 5.04612i | 0.781840 | − | 0.166185i | ||||
\(923\) | −1.21885 | − | 2.11111i | −0.0401188 | − | 0.0694879i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.3992 | + | 24.9401i | −0.473442 | + | 0.820026i | ||||
\(926\) | −1.39919 | + | 4.30625i | −0.0459801 | + | 0.141512i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −52.6869 | − | 38.2793i | −1.72953 | − | 1.25658i | ||||
\(929\) | 12.4305 | + | 2.64218i | 0.407831 | + | 0.0866873i | 0.407259 | − | 0.913313i | \(-0.366485\pi\) |
0.000572170 | 1.00000i | \(0.499818\pi\) | ||||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.67152 | − | 34.9322i | 0.120329 | − | 1.14486i | ||||
\(932\) | −18.3847 | − | 8.18542i | −0.602212 | − | 0.268122i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 27.3435 | − | 47.3603i | 0.894705 | − | 1.54968i | ||||
\(935\) | 1.98936 | − | 1.24882i | 0.0650589 | − | 0.0408406i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.8713 | − | 39.6139i | 0.420488 | − | 1.29413i | −0.486761 | − | 0.873535i | \(-0.661822\pi\) |
0.907249 | − | 0.420593i | \(-0.138178\pi\) | |||||||
\(938\) | −0.507392 | − | 4.82751i | −0.0165669 | − | 0.157624i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.2549 | − | 22.4954i | 0.660643 | − | 0.733718i | ||||
\(941\) | −9.66951 | + | 10.7391i | −0.315217 | + | 0.350084i | −0.879844 | − | 0.475262i | \(-0.842353\pi\) |
0.564627 | + | 0.825346i | \(0.309020\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.00582517 | − | 0.0554228i | −0.000189694 | − | 0.00180481i | ||||
\(944\) | 22.4787 | − | 69.1824i | 0.731620 | − | 2.25169i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −21.7082 | + | 54.0512i | −0.705795 | + | 1.75736i | ||||
\(947\) | 16.1976 | − | 28.0550i | 0.526350 | − | 0.911665i | −0.473179 | − | 0.880966i | \(-0.656894\pi\) |
0.999529 | − | 0.0306985i | \(-0.00977316\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.23102 | − | 0.548087i | −0.0399607 | − | 0.0177917i | ||||
\(950\) | −7.39822 | + | 70.3894i | −0.240030 | + | 2.28373i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.37520 | + | 1.78020i | 0.271442 | + | 0.0576967i | ||||
\(953\) | −9.18034 | − | 6.66991i | −0.297380 | − | 0.216059i | 0.429082 | − | 0.903265i | \(-0.358837\pi\) |
−0.726463 | + | 0.687206i | \(0.758837\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.156541 | − | 0.481784i | 0.00506555 | − | 0.0155902i | ||||
\(956\) | −0.927051 | + | 1.60570i | −0.0299830 | + | 0.0519320i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −37.1525 | − | 64.3500i | −1.20034 | − | 2.07905i | ||||
\(959\) | 9.55057 | − | 2.03004i | 0.308404 | − | 0.0655533i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.56365 | − | 2.47710i | 0.179472 | − | 0.0799063i | ||||
\(962\) | 1.19098 | + | 3.66547i | 0.0383988 | + | 0.118179i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −32.5623 | − | 23.6579i | −1.04876 | − | 0.761970i | ||||
\(965\) | −0.203232 | − | 1.93362i | −0.00654226 | − | 0.0622455i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.9615 | − | 38.0384i | −0.706234 | − | 1.22323i | −0.966244 | − | 0.257627i | \(-0.917059\pi\) |
0.260010 | − | 0.965606i | \(-0.416274\pi\) | |||||||
\(968\) | −69.8836 | − | 43.2673i | −2.24614 | − | 1.39066i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.50345 | + | 9.44404i | 0.273029 | + | 0.303230i | ||||
\(971\) | 33.9787 | − | 24.6870i | 1.09043 | − | 0.792243i | 0.110957 | − | 0.993825i | \(-0.464608\pi\) |
0.979472 | + | 0.201582i | \(0.0646083\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.50000 | − | 13.8496i | −0.144263 | − | 0.443997i | ||||
\(974\) | −32.5435 | − | 6.91733i | −1.04276 | − | 0.221645i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −104.086 | − | 46.3420i | −3.33171 | − | 1.48337i | ||||
\(977\) | 0.583707 | − | 0.124071i | 0.0186745 | − | 0.00396938i | −0.198565 | − | 0.980088i | \(-0.563628\pi\) |
0.217239 | + | 0.976118i | \(0.430295\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.2280 | + | 22.6775i | −0.486690 | + | 0.724776i | ||||
\(980\) | 18.0000 | 0.574989 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −37.9336 | + | 27.5604i | −1.21051 | + | 0.879488i | ||||
\(983\) | −7.41018 | + | 3.29923i | −0.236348 | + | 0.105229i | −0.521493 | − | 0.853255i | \(-0.674625\pi\) |
0.285145 | + | 0.958484i | \(0.407958\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.39033 | + | 5.98657i | −0.171750 | + | 0.190748i | ||||
\(986\) | 1.88151 | − | 17.9014i | 0.0599196 | − | 0.570097i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 4.48866 | + | 4.98517i | 0.142803 | + | 0.158599i | ||||
\(989\) | −1.58359 | −0.0503553 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.74265 | 0.118889 | 0.0594445 | − | 0.998232i | \(-0.481067\pi\) | ||||
0.0594445 | + | 0.998232i | \(0.481067\pi\) | |||||||
\(992\) | 44.2318 | + | 49.1243i | 1.40436 | + | 1.55970i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.82587 | + | 26.8863i | −0.0896311 | + | 0.852783i | ||||
\(995\) | −2.77415 | + | 3.08100i | −0.0879464 | + | 0.0976744i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.3686 | + | 8.62348i | −0.613411 | + | 0.273108i | −0.689834 | − | 0.723967i | \(-0.742317\pi\) |
0.0764231 | + | 0.997075i | \(0.475650\pi\) | |||||||
\(998\) | −38.4336 | + | 27.9237i | −1.21660 | + | 0.883908i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))