Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(25,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.y (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 151.40 | ||
Character | \(\chi\) | \(=\) | 441.151 |
Dual form | 441.2.y.a.184.40 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29871 | − | 0.625427i | 0.918328 | − | 0.442243i | 0.0858541 | − | 0.996308i | \(-0.472638\pi\) |
0.832474 | + | 0.554064i | \(0.186924\pi\) | |||||||
\(3\) | −1.72560 | + | 0.149311i | −0.996277 | + | 0.0862050i | ||||
\(4\) | 0.0485143 | − | 0.0608350i | 0.0242571 | − | 0.0304175i | ||||
\(5\) | −2.51203 | − | 2.33082i | −1.12341 | − | 1.04237i | −0.998740 | − | 0.0501762i | \(-0.984022\pi\) |
−0.124672 | − | 0.992198i | \(-0.539788\pi\) | |||||||
\(6\) | −2.14768 | + | 1.27315i | −0.876786 | + | 0.519762i | ||||
\(7\) | 0.896804 | + | 2.48912i | 0.338960 | + | 0.940801i | ||||
\(8\) | −0.616552 | + | 2.70129i | −0.217984 | + | 0.955051i | ||||
\(9\) | 2.95541 | − | 0.515304i | 0.985137 | − | 0.171768i | ||||
\(10\) | −4.72015 | − | 1.45597i | −1.49264 | − | 0.460420i | ||||
\(11\) | 2.86145 | + | 1.95091i | 0.862761 | + | 0.588221i | 0.911827 | − | 0.410575i | \(-0.134672\pi\) |
−0.0490657 | + | 0.998796i | \(0.515624\pi\) | |||||||
\(12\) | −0.0746330 | + | 0.112221i | −0.0215447 | + | 0.0323953i | ||||
\(13\) | 3.25508 | + | 2.21928i | 0.902797 | + | 0.615517i | 0.923219 | − | 0.384275i | \(-0.125549\pi\) |
−0.0204218 | + | 0.999791i | \(0.506501\pi\) | |||||||
\(14\) | 2.72145 | + | 2.67177i | 0.727339 | + | 0.714061i | ||||
\(15\) | 4.68278 | + | 3.64700i | 1.20909 | + | 0.941650i | ||||
\(16\) | 0.923366 | + | 4.04553i | 0.230841 | + | 1.01138i | ||||
\(17\) | −2.59959 | + | 0.391825i | −0.630493 | + | 0.0950316i | −0.456512 | − | 0.889717i | \(-0.650901\pi\) |
−0.173982 | + | 0.984749i | \(0.555663\pi\) | |||||||
\(18\) | 3.51594 | − | 2.51763i | 0.828716 | − | 0.593410i | ||||
\(19\) | 2.30654 | + | 3.99505i | 0.529157 | + | 0.916527i | 0.999422 | + | 0.0340014i | \(0.0108251\pi\) |
−0.470265 | + | 0.882525i | \(0.655842\pi\) | |||||||
\(20\) | −0.263665 | + | 0.0397410i | −0.0589572 | + | 0.00888636i | ||||
\(21\) | −1.91918 | − | 4.16134i | −0.418800 | − | 0.908079i | ||||
\(22\) | 4.93635 | + | 0.744036i | 1.05243 | + | 0.158629i | ||||
\(23\) | −0.403767 | − | 1.02878i | −0.0841911 | − | 0.214516i | 0.882578 | − | 0.470166i | \(-0.155806\pi\) |
−0.966769 | + | 0.255650i | \(0.917711\pi\) | |||||||
\(24\) | 0.660591 | − | 4.75342i | 0.134843 | − | 0.970287i | ||||
\(25\) | 0.503905 | + | 6.72414i | 0.100781 | + | 1.34483i | ||||
\(26\) | 5.61541 | + | 0.846386i | 1.10127 | + | 0.165990i | ||||
\(27\) | −5.02293 | + | 1.33049i | −0.966663 | + | 0.256052i | ||||
\(28\) | 0.194934 | + | 0.0662011i | 0.0368390 | + | 0.0125108i | ||||
\(29\) | −3.59729 | + | 0.542204i | −0.667999 | + | 0.100685i | −0.474282 | − | 0.880373i | \(-0.657292\pi\) |
−0.193717 | + | 0.981057i | \(0.562054\pi\) | |||||||
\(30\) | 8.36251 | + | 1.80766i | 1.52678 | + | 0.330032i | ||||
\(31\) | −4.62643 | −0.830932 | −0.415466 | − | 0.909609i | \(-0.636381\pi\) | ||||
−0.415466 | + | 0.909609i | \(0.636381\pi\) | |||||||
\(32\) | 0.274284 | + | 0.343942i | 0.0484871 | + | 0.0608009i | ||||
\(33\) | −5.22903 | − | 2.93924i | −0.910257 | − | 0.511657i | ||||
\(34\) | −3.13106 | + | 2.13472i | −0.536973 | + | 0.366102i | ||||
\(35\) | 3.54891 | − | 8.34304i | 0.599875 | − | 1.41023i | ||||
\(36\) | 0.112031 | − | 0.204792i | 0.0186719 | − | 0.0341320i | ||||
\(37\) | −0.631627 | + | 1.60936i | −0.103839 | + | 0.264577i | −0.973345 | − | 0.229344i | \(-0.926342\pi\) |
0.869506 | + | 0.493922i | \(0.164437\pi\) | |||||||
\(38\) | 5.49414 | + | 3.74584i | 0.891268 | + | 0.607656i | ||||
\(39\) | −5.94834 | − | 3.34357i | −0.952497 | − | 0.535400i | ||||
\(40\) | 7.84502 | − | 5.34865i | 1.24041 | − | 0.845695i | ||||
\(41\) | −3.29010 | + | 1.01486i | −0.513828 | + | 0.158495i | −0.540816 | − | 0.841141i | \(-0.681885\pi\) |
0.0269882 | + | 0.999636i | \(0.491408\pi\) | |||||||
\(42\) | −5.09508 | − | 4.20407i | −0.786187 | − | 0.648702i | ||||
\(43\) | 10.2291 | + | 3.15525i | 1.55992 | + | 0.481172i | 0.950251 | − | 0.311484i | \(-0.100826\pi\) |
0.609669 | + | 0.792656i | \(0.291302\pi\) | |||||||
\(44\) | 0.257505 | − | 0.0794297i | 0.0388203 | − | 0.0119745i | ||||
\(45\) | −8.62515 | − | 5.59407i | −1.28576 | − | 0.833915i | ||||
\(46\) | −1.16780 | − | 1.08356i | −0.172183 | − | 0.159763i | ||||
\(47\) | 4.61311 | − | 2.22156i | 0.672892 | − | 0.324048i | −0.0660506 | − | 0.997816i | \(-0.521040\pi\) |
0.738942 | + | 0.673769i | \(0.235326\pi\) | |||||||
\(48\) | −2.19741 | − | 6.84311i | −0.317168 | − | 0.987718i | ||||
\(49\) | −5.39149 | + | 4.46451i | −0.770212 | + | 0.637788i | ||||
\(50\) | 4.85988 | + | 8.41757i | 0.687291 | + | 1.19042i | ||||
\(51\) | 4.42736 | − | 1.06428i | 0.619954 | − | 0.149029i | ||||
\(52\) | 0.292928 | − | 0.0903562i | 0.0406217 | − | 0.0125301i | ||||
\(53\) | −0.613372 | − | 1.56285i | −0.0842531 | − | 0.214673i | 0.882538 | − | 0.470241i | \(-0.155833\pi\) |
−0.966791 | + | 0.255567i | \(0.917738\pi\) | |||||||
\(54\) | −5.69121 | + | 4.86939i | −0.774476 | + | 0.662640i | ||||
\(55\) | −2.64084 | − | 11.5703i | −0.356090 | − | 1.56013i | ||||
\(56\) | −7.27678 | + | 0.887854i | −0.972401 | + | 0.118644i | ||||
\(57\) | −4.57668 | − | 6.54947i | −0.606196 | − | 0.867499i | ||||
\(58\) | −4.33273 | + | 2.95401i | −0.568915 | + | 0.387880i | ||||
\(59\) | 2.97708 | + | 13.0434i | 0.387583 | + | 1.69811i | 0.672946 | + | 0.739691i | \(0.265029\pi\) |
−0.285364 | + | 0.958419i | \(0.592114\pi\) | |||||||
\(60\) | 0.449047 | − | 0.107945i | 0.0579717 | − | 0.0139357i | ||||
\(61\) | −2.00641 | − | 2.51596i | −0.256895 | − | 0.322136i | 0.636613 | − | 0.771183i | \(-0.280335\pi\) |
−0.893508 | + | 0.449047i | \(0.851763\pi\) | |||||||
\(62\) | −6.00840 | + | 2.89349i | −0.763068 | + | 0.367474i | ||||
\(63\) | 3.93308 | + | 6.89426i | 0.495522 | + | 0.868596i | ||||
\(64\) | −6.90593 | − | 3.32572i | −0.863242 | − | 0.415715i | ||||
\(65\) | −3.00411 | − | 13.1619i | −0.372615 | − | 1.63253i | ||||
\(66\) | −8.62928 | − | 0.546856i | −1.06219 | − | 0.0673134i | ||||
\(67\) | −1.42196 | −0.173720 | −0.0868601 | − | 0.996221i | \(-0.527683\pi\) | ||||
−0.0868601 | + | 0.996221i | \(0.527683\pi\) | |||||||
\(68\) | −0.102281 | + | 0.177155i | −0.0124033 | + | 0.0214832i | ||||
\(69\) | 0.850349 | + | 1.71498i | 0.102370 | + | 0.206459i | ||||
\(70\) | −0.608949 | − | 13.0548i | −0.0727834 | − | 1.56034i | ||||
\(71\) | −5.28022 | + | 6.62119i | −0.626647 | + | 0.785791i | −0.989263 | − | 0.146148i | \(-0.953312\pi\) |
0.362615 | + | 0.931939i | \(0.381884\pi\) | |||||||
\(72\) | −0.430179 | + | 8.30115i | −0.0506970 | + | 0.978299i | ||||
\(73\) | 13.5381 | − | 9.23013i | 1.58452 | − | 1.08031i | 0.632369 | − | 0.774667i | \(-0.282083\pi\) |
0.952148 | − | 0.305638i | \(-0.0988698\pi\) | |||||||
\(74\) | 0.186235 | + | 2.48513i | 0.0216494 | + | 0.288891i | ||||
\(75\) | −1.87353 | − | 11.5280i | −0.216337 | − | 1.33113i | ||||
\(76\) | 0.354939 | + | 0.0534984i | 0.0407143 | + | 0.00613669i | ||||
\(77\) | −2.28989 | + | 8.87210i | −0.260957 | + | 1.01107i | ||||
\(78\) | −9.81634 | − | 0.622083i | −1.11148 | − | 0.0704370i | ||||
\(79\) | 1.21893 | 0.137141 | 0.0685704 | − | 0.997646i | \(-0.478156\pi\) | ||||
0.0685704 | + | 0.997646i | \(0.478156\pi\) | |||||||
\(80\) | 7.10988 | − | 12.3147i | 0.794909 | − | 1.37682i | ||||
\(81\) | 8.46892 | − | 3.04587i | 0.940991 | − | 0.338430i | ||||
\(82\) | −3.63818 | + | 3.37573i | −0.401769 | + | 0.372787i | ||||
\(83\) | 13.2614 | − | 9.04146i | 1.45563 | − | 0.992429i | 0.461166 | − | 0.887314i | \(-0.347431\pi\) |
0.994460 | − | 0.105115i | \(-0.0335210\pi\) | |||||||
\(84\) | −0.346263 | − | 0.0851309i | −0.0377804 | − | 0.00928855i | ||||
\(85\) | 7.44351 | + | 5.07490i | 0.807362 | + | 0.550450i | ||||
\(86\) | 15.2580 | − | 2.29978i | 1.64531 | − | 0.247991i | ||||
\(87\) | 6.12653 | − | 1.47274i | 0.656833 | − | 0.157895i | ||||
\(88\) | −7.03421 | + | 6.52679i | −0.749849 | + | 0.695758i | ||||
\(89\) | −0.312717 | − | 4.17291i | −0.0331479 | − | 0.442328i | −0.988943 | − | 0.148295i | \(-0.952622\pi\) |
0.955795 | − | 0.294033i | \(-0.0949975\pi\) | |||||||
\(90\) | −14.7003 | − | 1.87069i | −1.54954 | − | 0.197188i | ||||
\(91\) | −2.60489 | + | 10.0926i | −0.273066 | + | 1.05799i | ||||
\(92\) | −0.0821743 | − | 0.0253474i | −0.00856726 | − | 0.00264265i | ||||
\(93\) | 7.98338 | − | 0.690779i | 0.827838 | − | 0.0716304i | ||||
\(94\) | 4.60168 | − | 5.77033i | 0.474627 | − | 0.595164i | ||||
\(95\) | 3.51764 | − | 15.4118i | 0.360902 | − | 1.58122i | ||||
\(96\) | −0.524660 | − | 0.552553i | −0.0535479 | − | 0.0563947i | ||||
\(97\) | −6.82148 | + | 11.8152i | −0.692617 | + | 1.19965i | 0.278361 | + | 0.960477i | \(0.410209\pi\) |
−0.970978 | + | 0.239171i | \(0.923124\pi\) | |||||||
\(98\) | −4.20976 | + | 9.17010i | −0.425250 | + | 0.926320i | ||||
\(99\) | 9.46209 | + | 4.29121i | 0.950976 | + | 0.431283i | ||||
\(100\) | 0.433510 | + | 0.295562i | 0.0433510 | + | 0.0295562i | ||||
\(101\) | 13.7618 | − | 4.24496i | 1.36935 | − | 0.422389i | 0.479062 | − | 0.877781i | \(-0.340977\pi\) |
0.890291 | + | 0.455392i | \(0.150501\pi\) | |||||||
\(102\) | 5.08423 | − | 4.15119i | 0.503414 | − | 0.411029i | ||||
\(103\) | −12.0703 | − | 11.1996i | −1.18932 | − | 1.10353i | −0.992393 | − | 0.123113i | \(-0.960712\pi\) |
−0.196930 | − | 0.980417i | \(-0.563097\pi\) | |||||||
\(104\) | −8.00184 | + | 7.42462i | −0.784645 | + | 0.728044i | ||||
\(105\) | −4.87829 | + | 14.9267i | −0.476073 | + | 1.45669i | ||||
\(106\) | −1.77404 | − | 1.64607i | −0.172310 | − | 0.159880i | ||||
\(107\) | −1.28810 | − | 17.1886i | −0.124526 | − | 1.66168i | −0.613733 | − | 0.789514i | \(-0.710333\pi\) |
0.489207 | − | 0.872167i | \(-0.337286\pi\) | |||||||
\(108\) | −0.162744 | + | 0.370117i | −0.0156600 | + | 0.0356146i | ||||
\(109\) | −0.637481 | + | 8.50660i | −0.0610596 | + | 0.814784i | 0.879661 | + | 0.475602i | \(0.157770\pi\) |
−0.940720 | + | 0.339183i | \(0.889849\pi\) | |||||||
\(110\) | −10.6660 | − | 13.3748i | −1.01697 | − | 1.27524i | ||||
\(111\) | 0.849642 | − | 2.87142i | 0.0806444 | − | 0.272544i | ||||
\(112\) | −9.24175 | + | 5.92642i | −0.873263 | + | 0.559994i | ||||
\(113\) | 0.138288 | + | 1.84532i | 0.0130090 | + | 0.173593i | 0.999924 | + | 0.0123502i | \(0.00393130\pi\) |
−0.986915 | + | 0.161243i | \(0.948450\pi\) | |||||||
\(114\) | −10.0400 | − | 5.64350i | −0.940333 | − | 0.528562i | ||||
\(115\) | −1.38363 | + | 3.52543i | −0.129024 | + | 0.328748i | ||||
\(116\) | −0.141535 | + | 0.245146i | −0.0131412 | + | 0.0227612i | ||||
\(117\) | 10.7637 | + | 4.88152i | 0.995105 | + | 0.451297i | ||||
\(118\) | 12.0241 | + | 15.0777i | 1.10691 | + | 1.38802i | ||||
\(119\) | −3.30662 | − | 6.11932i | −0.303118 | − | 0.560957i | ||||
\(120\) | −12.7388 | + | 10.4010i | −1.16289 | + | 0.949476i | ||||
\(121\) | 0.363135 | + | 0.925253i | 0.0330123 | + | 0.0841140i | ||||
\(122\) | −4.17930 | − | 2.01265i | −0.378376 | − | 0.182216i | ||||
\(123\) | 5.52588 | − | 2.24250i | 0.498252 | − | 0.202199i | ||||
\(124\) | −0.224448 | + | 0.281449i | −0.0201560 | + | 0.0252749i | ||||
\(125\) | 3.72405 | − | 4.66981i | 0.333089 | − | 0.417680i | ||||
\(126\) | 9.41980 | + | 6.49381i | 0.839182 | + | 0.578514i | ||||
\(127\) | −4.38779 | − | 5.50212i | −0.389353 | − | 0.488234i | 0.548066 | − | 0.836435i | \(-0.315364\pi\) |
−0.937420 | + | 0.348201i | \(0.886793\pi\) | |||||||
\(128\) | −11.9287 | −1.05435 | ||||||||
\(129\) | −18.1225 | − | 3.91740i | −1.59559 | − | 0.344908i | ||||
\(130\) | −12.1333 | − | 15.2146i | −1.06416 | − | 1.33441i | ||||
\(131\) | 5.72948 | + | 1.76731i | 0.500587 | + | 0.154411i | 0.534758 | − | 0.845005i | \(-0.320403\pi\) |
−0.0341710 | + | 0.999416i | \(0.510879\pi\) | |||||||
\(132\) | −0.432491 | + | 0.175513i | −0.0376435 | + | 0.0152764i | ||||
\(133\) | −7.87566 | + | 9.32404i | −0.682906 | + | 0.808497i | ||||
\(134\) | −1.84672 | + | 0.889333i | −0.159532 | + | 0.0768266i | ||||
\(135\) | 15.7189 | + | 8.36532i | 1.35286 | + | 0.719972i | ||||
\(136\) | 0.544349 | − | 7.26384i | 0.0466776 | − | 0.622869i | ||||
\(137\) | −4.33134 | + | 4.01890i | −0.370051 | + | 0.343357i | −0.843176 | − | 0.537638i | \(-0.819317\pi\) |
0.473124 | + | 0.880996i | \(0.343126\pi\) | |||||||
\(138\) | 2.17695 | + | 1.69543i | 0.185315 | + | 0.144325i | ||||
\(139\) | −18.5009 | + | 5.70676i | −1.56922 | + | 0.484041i | −0.952857 | − | 0.303420i | \(-0.901872\pi\) |
−0.616365 | + | 0.787461i | \(0.711395\pi\) | |||||||
\(140\) | −0.335376 | − | 0.620654i | −0.0283444 | − | 0.0524548i | ||||
\(141\) | −7.62870 | + | 4.52232i | −0.642452 | + | 0.380848i | ||||
\(142\) | −2.71642 | + | 11.9014i | −0.227957 | + | 0.998744i | ||||
\(143\) | 4.98466 | + | 12.7007i | 0.416839 | + | 1.06209i | ||||
\(144\) | 4.81360 | + | 11.4804i | 0.401134 | + | 0.956699i | ||||
\(145\) | 10.3003 | + | 7.02260i | 0.855390 | + | 0.583195i | ||||
\(146\) | 11.8093 | − | 20.4544i | 0.977348 | − | 1.69282i | ||||
\(147\) | 8.63696 | − | 8.50899i | 0.712365 | − | 0.701810i | ||||
\(148\) | 0.0672624 | + | 0.116502i | 0.00552894 | + | 0.00957640i | ||||
\(149\) | −0.0655029 | + | 0.874076i | −0.00536621 | + | 0.0716071i | −0.999244 | − | 0.0388784i | \(-0.987622\pi\) |
0.993878 | + | 0.110485i | \(0.0352406\pi\) | |||||||
\(150\) | −9.64307 | − | 13.7997i | −0.787353 | − | 1.12674i | ||||
\(151\) | 5.10349 | + | 0.769227i | 0.415316 | + | 0.0625988i | 0.353377 | − | 0.935481i | \(-0.385033\pi\) |
0.0619392 | + | 0.998080i | \(0.480272\pi\) | |||||||
\(152\) | −12.2139 | + | 3.76749i | −0.990678 | + | 0.305584i | ||||
\(153\) | −7.48095 | + | 2.49759i | −0.604799 | + | 0.201918i | ||||
\(154\) | 2.57494 | + | 12.9545i | 0.207495 | + | 1.04390i | ||||
\(155\) | 11.6217 | + | 10.7834i | 0.933479 | + | 0.866142i | ||||
\(156\) | −0.491985 | + | 0.199656i | −0.0393904 | + | 0.0159853i | ||||
\(157\) | 3.88277 | + | 17.0115i | 0.309879 | + | 1.35767i | 0.854703 | + | 0.519117i | \(0.173739\pi\) |
−0.544825 | + | 0.838550i | \(0.683404\pi\) | |||||||
\(158\) | 1.58304 | − | 0.762354i | 0.125940 | − | 0.0606496i | ||||
\(159\) | 1.29179 | + | 2.60527i | 0.102445 | + | 0.206611i | ||||
\(160\) | 0.112657 | − | 1.50330i | 0.00890629 | − | 0.118846i | ||||
\(161\) | 2.19866 | − | 1.92764i | 0.173279 | − | 0.151919i | ||||
\(162\) | 9.09372 | − | 9.25240i | 0.714470 | − | 0.726937i | ||||
\(163\) | 13.9158 | − | 12.9120i | 1.08997 | − | 1.01135i | 0.0900900 | − | 0.995934i | \(-0.471285\pi\) |
0.999881 | − | 0.0154119i | \(-0.00490594\pi\) | |||||||
\(164\) | −0.0978779 | + | 0.249389i | −0.00764298 | + | 0.0194740i | ||||
\(165\) | 6.28461 | + | 19.5714i | 0.489256 | + | 1.52363i | ||||
\(166\) | 11.5679 | − | 20.0363i | 0.897847 | − | 1.55512i | ||||
\(167\) | 4.59930 | − | 11.7188i | 0.355905 | − | 0.906830i | −0.635030 | − | 0.772487i | \(-0.719012\pi\) |
0.990935 | − | 0.134343i | \(-0.0428923\pi\) | |||||||
\(168\) | 12.4243 | − | 2.61859i | 0.958553 | − | 0.202029i | ||||
\(169\) | 0.920929 | + | 2.34649i | 0.0708407 | + | 0.180499i | ||||
\(170\) | 12.8410 | + | 1.93546i | 0.984857 | + | 0.148443i | ||||
\(171\) | 8.87545 | + | 10.6184i | 0.678722 | + | 0.812012i | ||||
\(172\) | 0.688206 | − | 0.469211i | 0.0524752 | − | 0.0357770i | ||||
\(173\) | −11.7781 | + | 14.7693i | −0.895476 | + | 1.12289i | 0.0963572 | + | 0.995347i | \(0.469281\pi\) |
−0.991833 | + | 0.127544i | \(0.959291\pi\) | |||||||
\(174\) | 7.03551 | − | 5.74437i | 0.533360 | − | 0.435479i | ||||
\(175\) | −16.2853 | + | 7.28452i | −1.23105 | + | 0.550658i | ||||
\(176\) | −5.25028 | + | 13.3775i | −0.395755 | + | 1.00837i | ||||
\(177\) | −7.08479 | − | 22.0633i | −0.532525 | − | 1.65838i | ||||
\(178\) | −3.01598 | − | 5.22383i | −0.226057 | − | 0.391543i | ||||
\(179\) | −4.54591 | + | 0.685186i | −0.339778 | + | 0.0512132i | −0.316715 | − | 0.948521i | \(-0.602580\pi\) |
−0.0230627 | + | 0.999734i | \(0.507342\pi\) | |||||||
\(180\) | −0.758759 | + | 0.253319i | −0.0565545 | + | 0.0188813i | ||||
\(181\) | −8.06047 | − | 3.88172i | −0.599130 | − | 0.288526i | 0.109633 | − | 0.993972i | \(-0.465032\pi\) |
−0.708763 | + | 0.705446i | \(0.750747\pi\) | |||||||
\(182\) | 2.92916 | + | 14.7365i | 0.217124 | + | 1.09234i | ||||
\(183\) | 3.83794 | + | 4.04197i | 0.283708 | + | 0.298791i | ||||
\(184\) | 3.02798 | − | 0.456395i | 0.223226 | − | 0.0336459i | ||||
\(185\) | 5.33779 | − | 2.57054i | 0.392442 | − | 0.188990i | ||||
\(186\) | 9.93608 | − | 5.89014i | 0.728549 | − | 0.431886i | ||||
\(187\) | −8.20303 | − | 3.95037i | −0.599865 | − | 0.288880i | ||||
\(188\) | 0.0886534 | − | 0.388416i | 0.00646571 | − | 0.0283281i | ||||
\(189\) | −7.81633 | − | 11.3095i | −0.568554 | − | 0.822646i | ||||
\(190\) | −5.07055 | − | 22.2155i | −0.367856 | − | 1.61168i | ||||
\(191\) | 4.95236 | − | 21.6977i | 0.358340 | − | 1.56999i | −0.398988 | − | 0.916956i | \(-0.630639\pi\) |
0.757328 | − | 0.653034i | \(-0.226504\pi\) | |||||||
\(192\) | 12.4135 | + | 4.70774i | 0.895865 | + | 0.339752i | ||||
\(193\) | 4.93734 | − | 21.6319i | 0.355398 | − | 1.55710i | −0.409110 | − | 0.912485i | \(-0.634161\pi\) |
0.764508 | − | 0.644614i | \(-0.222982\pi\) | |||||||
\(194\) | −1.46963 | + | 19.6108i | −0.105513 | + | 1.40797i | ||||
\(195\) | 7.14913 | + | 22.2636i | 0.511960 | + | 1.59433i | ||||
\(196\) | 0.0100345 | + | 0.544584i | 0.000716753 | + | 0.0388988i | ||||
\(197\) | 9.72731 | 0.693042 | 0.346521 | − | 0.938042i | \(-0.387363\pi\) | ||||
0.346521 | + | 0.938042i | \(0.387363\pi\) | |||||||
\(198\) | 14.9724 | − | 0.344793i | 1.06404 | − | 0.0245034i | ||||
\(199\) | 9.10889 | + | 8.45182i | 0.645712 | + | 0.599134i | 0.933507 | − | 0.358559i | \(-0.116732\pi\) |
−0.287795 | + | 0.957692i | \(0.592922\pi\) | |||||||
\(200\) | −18.4746 | − | 2.78459i | −1.30635 | − | 0.196900i | ||||
\(201\) | 2.45374 | − | 0.212315i | 0.173074 | − | 0.0149756i | ||||
\(202\) | 15.2177 | − | 14.1200i | 1.07072 | − | 0.993479i | ||||
\(203\) | −4.57567 | − | 8.46785i | −0.321149 | − | 0.594326i | ||||
\(204\) | 0.150044 | − | 0.320971i | 0.0105052 | − | 0.0224725i | ||||
\(205\) | 10.6303 | + | 5.11928i | 0.742452 | + | 0.357546i | ||||
\(206\) | −22.6804 | − | 6.99597i | −1.58022 | − | 0.487433i | ||||
\(207\) | −1.72343 | − | 2.83241i | −0.119787 | − | 0.196866i | ||||
\(208\) | −5.97252 | + | 15.2177i | −0.414120 | + | 1.05516i | ||||
\(209\) | −1.19390 | + | 15.9315i | −0.0825838 | + | 1.10200i | ||||
\(210\) | 3.00003 | + | 22.4364i | 0.207022 | + | 1.54826i | ||||
\(211\) | −0.346017 | − | 4.61727i | −0.0238208 | − | 0.317866i | −0.996367 | − | 0.0851582i | \(-0.972860\pi\) |
0.972547 | − | 0.232708i | \(-0.0747586\pi\) | |||||||
\(212\) | −0.124833 | − | 0.0385059i | −0.00857357 | − | 0.00264459i | ||||
\(213\) | 8.12295 | − | 12.2139i | 0.556575 | − | 0.836886i | ||||
\(214\) | −12.4231 | − | 21.5174i | −0.849223 | − | 1.47090i | ||||
\(215\) | −18.3414 | − | 31.7682i | −1.25087 | − | 2.16658i | ||||
\(216\) | −0.497138 | − | 14.3887i | −0.0338260 | − | 0.979028i | ||||
\(217\) | −4.14900 | − | 11.5158i | −0.281653 | − | 0.781741i | ||||
\(218\) | 4.49235 | + | 11.4463i | 0.304260 | + | 0.775242i | ||||
\(219\) | −21.9833 | + | 17.9489i | −1.48549 | + | 1.21288i | ||||
\(220\) | −0.831995 | − | 0.400668i | −0.0560931 | − | 0.0270130i | ||||
\(221\) | −9.33145 | − | 4.49379i | −0.627701 | − | 0.302285i | ||||
\(222\) | −0.692426 | − | 4.26054i | −0.0464726 | − | 0.285949i | ||||
\(223\) | −6.73223 | − | 17.1534i | −0.450823 | − | 1.14868i | −0.957983 | − | 0.286827i | \(-0.907400\pi\) |
0.507159 | − | 0.861852i | \(-0.330696\pi\) | |||||||
\(224\) | −0.610135 | + | 0.991176i | −0.0407663 | + | 0.0662258i | ||||
\(225\) | 4.95423 | + | 19.6129i | 0.330282 | + | 1.30753i | ||||
\(226\) | 1.33371 | + | 2.31005i | 0.0887171 | + | 0.153663i | ||||
\(227\) | 12.8515 | + | 22.2594i | 0.852984 | + | 1.47741i | 0.878503 | + | 0.477737i | \(0.158543\pi\) |
−0.0255189 | + | 0.999674i | \(0.508124\pi\) | |||||||
\(228\) | −0.620471 | − | 0.0393206i | −0.0410917 | − | 0.00260407i | ||||
\(229\) | 8.52305 | + | 2.62901i | 0.563219 | + | 0.173730i | 0.563274 | − | 0.826270i | \(-0.309541\pi\) |
−5.51578e−5 | 1.00000i | \(0.500018\pi\) | ||||||||
\(230\) | 0.407962 | + | 5.44388i | 0.0269002 | + | 0.358959i | ||||
\(231\) | 2.62673 | − | 15.6516i | 0.172826 | − | 1.02980i | ||||
\(232\) | 0.753265 | − | 10.0516i | 0.0494543 | − | 0.659921i | ||||
\(233\) | −3.06937 | + | 7.82061i | −0.201081 | + | 0.512346i | −0.995471 | − | 0.0950618i | \(-0.969695\pi\) |
0.794391 | + | 0.607407i | \(0.207790\pi\) | |||||||
\(234\) | 17.0320 | − | 0.392223i | 1.11342 | − | 0.0256404i | ||||
\(235\) | −16.7663 | − | 5.17172i | −1.09371 | − | 0.337366i | ||||
\(236\) | 0.937928 | + | 0.451682i | 0.0610539 | + | 0.0294020i | ||||
\(237\) | −2.10340 | + | 0.182001i | −0.136630 | + | 0.0118222i | ||||
\(238\) | −8.12154 | − | 5.87918i | −0.526441 | − | 0.381090i | ||||
\(239\) | 17.0193 | − | 15.7916i | 1.10089 | − | 1.02147i | 0.101240 | − | 0.994862i | \(-0.467719\pi\) |
0.999646 | − | 0.0266111i | \(-0.00847159\pi\) | |||||||
\(240\) | −10.4301 | + | 22.3118i | −0.673261 | + | 1.44022i | ||||
\(241\) | 19.1353 | + | 2.88418i | 1.23261 | + | 0.185786i | 0.732858 | − | 0.680381i | \(-0.238186\pi\) |
0.499754 | + | 0.866168i | \(0.333424\pi\) | |||||||
\(242\) | 1.05029 | + | 0.974523i | 0.0675150 | + | 0.0626447i | ||||
\(243\) | −14.1592 | + | 6.52048i | −0.908314 | + | 0.418289i | ||||
\(244\) | −0.250398 | −0.0160301 | ||||||||
\(245\) | 23.9495 | + | 1.35161i | 1.53008 | + | 0.0863510i | ||||
\(246\) | 5.77401 | − | 6.36840i | 0.368138 | − | 0.406034i | ||||
\(247\) | −1.35814 | + | 18.1231i | −0.0864161 | + | 1.15314i | ||||
\(248\) | 2.85244 | − | 12.4973i | 0.181130 | − | 0.793582i | ||||
\(249\) | −21.5339 | + | 17.5820i | −1.36465 | + | 1.11422i | ||||
\(250\) | 1.91584 | − | 8.39385i | 0.121169 | − | 0.530874i | ||||
\(251\) | 3.07504 | + | 13.4726i | 0.194095 | + | 0.850385i | 0.974371 | + | 0.224949i | \(0.0722215\pi\) |
−0.780276 | + | 0.625436i | \(0.784921\pi\) | |||||||
\(252\) | 0.610223 | + | 0.0952012i | 0.0384404 | + | 0.00599711i | ||||
\(253\) | 0.851695 | − | 3.73152i | 0.0535456 | − | 0.234599i | ||||
\(254\) | −9.13965 | − | 4.40142i | −0.573472 | − | 0.276170i | ||||
\(255\) | −13.6023 | − | 7.64587i | −0.851809 | − | 0.478803i | ||||
\(256\) | −1.68001 | + | 0.809050i | −0.105001 | + | 0.0505656i | ||||
\(257\) | −7.68413 | + | 1.15820i | −0.479323 | + | 0.0722463i | −0.384260 | − | 0.923225i | \(-0.625543\pi\) |
−0.0950629 | + | 0.995471i | \(0.530305\pi\) | |||||||
\(258\) | −25.9859 | + | 6.24669i | −1.61781 | + | 0.388902i | ||||
\(259\) | −4.57234 | − | 0.128919i | −0.284111 | − | 0.00801063i | ||||
\(260\) | −0.946446 | − | 0.455784i | −0.0586961 | − | 0.0282665i | ||||
\(261\) | −10.3521 | + | 3.45613i | −0.640777 | + | 0.213929i | ||||
\(262\) | 8.54626 | − | 1.28814i | 0.527990 | − | 0.0795817i | ||||
\(263\) | 4.22955 | + | 7.32579i | 0.260805 | + | 0.451728i | 0.966456 | − | 0.256832i | \(-0.0826787\pi\) |
−0.705651 | + | 0.708560i | \(0.749345\pi\) | |||||||
\(264\) | 11.1637 | − | 12.3129i | 0.687080 | − | 0.757809i | ||||
\(265\) | −2.10191 | + | 5.35557i | −0.129119 | + | 0.328990i | ||||
\(266\) | −4.39670 | + | 17.0349i | −0.269579 | + | 1.04448i | ||||
\(267\) | 1.16269 | + | 7.15410i | 0.0711553 | + | 0.437824i | ||||
\(268\) | −0.0689854 | + | 0.0865050i | −0.00421396 | + | 0.00528413i | ||||
\(269\) | −8.82724 | + | 6.01831i | −0.538206 | + | 0.366943i | −0.801708 | − | 0.597716i | \(-0.796075\pi\) |
0.263502 | + | 0.964659i | \(0.415123\pi\) | |||||||
\(270\) | 25.6462 | + | 1.03315i | 1.56078 | + | 0.0628755i | ||||
\(271\) | 30.3768 | + | 4.57857i | 1.84526 | + | 0.278128i | 0.976247 | − | 0.216661i | \(-0.0695165\pi\) |
0.869013 | + | 0.494789i | \(0.164755\pi\) | |||||||
\(272\) | −3.98551 | − | 10.1549i | −0.241657 | − | 0.615733i | ||||
\(273\) | 2.98807 | − | 17.8047i | 0.180846 | − | 1.07759i | ||||
\(274\) | −3.11164 | + | 7.92832i | −0.187981 | + | 0.478968i | ||||
\(275\) | −11.6763 | + | 20.2239i | −0.704106 | + | 1.21955i | ||||
\(276\) | 0.145585 | + | 0.0314700i | 0.00876318 | + | 0.00189427i | ||||
\(277\) | 3.85704 | − | 9.82757i | 0.231747 | − | 0.590481i | −0.766940 | − | 0.641719i | \(-0.778221\pi\) |
0.998686 | + | 0.0512379i | \(0.0163167\pi\) | |||||||
\(278\) | −20.4581 | + | 18.9824i | −1.22700 | + | 1.13849i | ||||
\(279\) | −13.6730 | + | 2.38402i | −0.818582 | + | 0.142728i | ||||
\(280\) | 20.3489 | + | 14.7306i | 1.21608 | + | 0.880319i | ||||
\(281\) | 0.451675 | − | 6.02718i | 0.0269447 | − | 0.359551i | −0.967393 | − | 0.253281i | \(-0.918490\pi\) |
0.994337 | − | 0.106270i | \(-0.0338908\pi\) | |||||||
\(282\) | −7.07910 | + | 10.6444i | −0.421554 | + | 0.633864i | ||||
\(283\) | 26.3328 | − | 12.6812i | 1.56532 | − | 0.753818i | 0.567731 | − | 0.823214i | \(-0.307821\pi\) |
0.997589 | + | 0.0693958i | \(0.0221071\pi\) | |||||||
\(284\) | 0.146634 | + | 0.642445i | 0.00870111 | + | 0.0381221i | ||||
\(285\) | −3.76890 | + | 27.1199i | −0.223250 | + | 1.60644i | ||||
\(286\) | 14.4170 | + | 13.3770i | 0.852496 | + | 0.791000i | ||||
\(287\) | −5.47670 | − | 7.27935i | −0.323279 | − | 0.429686i | ||||
\(288\) | 0.987858 | + | 0.875150i | 0.0582101 | + | 0.0515687i | ||||
\(289\) | −9.64039 | + | 2.97367i | −0.567082 | + | 0.174922i | ||||
\(290\) | 17.7692 | + | 2.67827i | 1.04344 | + | 0.157274i | ||||
\(291\) | 10.0070 | − | 21.4068i | 0.586623 | − | 1.25489i | ||||
\(292\) | 0.0952771 | − | 1.27138i | 0.00557567 | − | 0.0744021i | ||||
\(293\) | −8.94320 | − | 15.4901i | −0.522467 | − | 0.904940i | −0.999658 | − | 0.0261401i | \(-0.991678\pi\) |
0.477191 | − | 0.878800i | \(-0.341655\pi\) | |||||||
\(294\) | 5.89518 | − | 16.4525i | 0.343814 | − | 0.959530i | ||||
\(295\) | 22.9234 | − | 39.7045i | 1.33465 | − | 2.31168i | ||||
\(296\) | −3.95792 | − | 2.69846i | −0.230049 | − | 0.156845i | ||||
\(297\) | −16.9685 | − | 5.99213i | −0.984614 | − | 0.347699i | ||||
\(298\) | 0.461601 | + | 1.17614i | 0.0267398 | + | 0.0681320i | ||||
\(299\) | 0.968855 | − | 4.24483i | 0.0560303 | − | 0.245485i | ||||
\(300\) | −0.792196 | − | 0.445295i | −0.0457375 | − | 0.0257091i | ||||
\(301\) | 1.31966 | + | 28.2911i | 0.0760639 | + | 1.63067i | ||||
\(302\) | 7.10905 | − | 2.19285i | 0.409080 | − | 0.126184i | ||||
\(303\) | −23.1136 | + | 9.37992i | −1.32784 | + | 0.538862i | ||||
\(304\) | −14.0323 | + | 13.0201i | −0.804808 | + | 0.746752i | ||||
\(305\) | −0.824093 | + | 10.9968i | −0.0471874 | + | 0.629672i | ||||
\(306\) | −8.15355 | + | 7.92243i | −0.466107 | + | 0.452895i | ||||
\(307\) | −7.41762 | + | 3.57214i | −0.423346 | + | 0.203873i | −0.633412 | − | 0.773814i | \(-0.718346\pi\) |
0.210066 | + | 0.977687i | \(0.432632\pi\) | |||||||
\(308\) | 0.428642 | + | 0.569729i | 0.0244241 | + | 0.0324633i | ||||
\(309\) | 22.5008 | + | 17.5238i | 1.28003 | + | 0.996897i | ||||
\(310\) | 21.8375 | + | 6.73597i | 1.24029 | + | 0.382577i | ||||
\(311\) | 1.77533 | + | 2.22619i | 0.100670 | + | 0.126236i | 0.829614 | − | 0.558337i | \(-0.188560\pi\) |
−0.728945 | + | 0.684573i | \(0.759989\pi\) | |||||||
\(312\) | 12.6994 | − | 14.0067i | 0.718963 | − | 0.792974i | ||||
\(313\) | −2.38111 | −0.134588 | −0.0672942 | − | 0.997733i | \(-0.521437\pi\) | ||||
−0.0672942 | + | 0.997733i | \(0.521437\pi\) | |||||||
\(314\) | 15.6821 | + | 19.6647i | 0.884989 | + | 1.10974i | ||||
\(315\) | 6.18928 | − | 26.4859i | 0.348726 | − | 1.49231i | ||||
\(316\) | 0.0591357 | − | 0.0741538i | 0.00332664 | − | 0.00417148i | ||||
\(317\) | 7.63443 | − | 9.57327i | 0.428792 | − | 0.537689i | −0.519759 | − | 0.854313i | \(-0.673978\pi\) |
0.948551 | + | 0.316625i | \(0.102550\pi\) | |||||||
\(318\) | 3.30706 | + | 2.57557i | 0.185451 | + | 0.144431i | ||||
\(319\) | −11.3513 | − | 5.46648i | −0.635549 | − | 0.306064i | ||||
\(320\) | 9.59623 | + | 24.4508i | 0.536446 | + | 1.36684i | ||||
\(321\) | 4.78921 | + | 29.4683i | 0.267307 | + | 1.64476i | ||||
\(322\) | 1.64983 | − | 3.87855i | 0.0919416 | − | 0.216143i | ||||
\(323\) | −7.56143 | − | 9.48173i | −0.420729 | − | 0.527577i | ||||
\(324\) | 0.225568 | − | 0.662975i | 0.0125316 | − | 0.0368320i | ||||
\(325\) | −13.2825 | + | 23.0059i | −0.736779 | + | 1.27614i | ||||
\(326\) | 9.99714 | − | 25.4723i | 0.553690 | − | 1.41078i | ||||
\(327\) | −0.170092 | − | 14.7742i | −0.00940611 | − | 0.817015i | ||||
\(328\) | −0.712920 | − | 9.51325i | −0.0393644 | − | 0.525281i | ||||
\(329\) | 9.66679 | + | 9.49031i | 0.532948 | + | 0.523218i | ||||
\(330\) | 20.4024 | + | 21.4870i | 1.12311 | + | 1.18282i | ||||
\(331\) | 15.3819 | + | 19.2883i | 0.845468 | + | 1.06018i | 0.997419 | + | 0.0717950i | \(0.0228728\pi\) |
−0.151952 | + | 0.988388i | \(0.548556\pi\) | |||||||
\(332\) | 0.0933295 | − | 1.24540i | 0.00512212 | − | 0.0683500i | ||||
\(333\) | −1.03741 | + | 5.08180i | −0.0568496 | + | 0.278481i | ||||
\(334\) | −1.35610 | − | 18.0959i | −0.0742025 | − | 0.990164i | ||||
\(335\) | 3.57201 | + | 3.31434i | 0.195159 | + | 0.181082i | ||||
\(336\) | 15.0627 | − | 11.6065i | 0.821738 | − | 0.633189i | ||||
\(337\) | −0.511624 | + | 0.474718i | −0.0278699 | + | 0.0258595i | −0.693985 | − | 0.719990i | \(-0.744147\pi\) |
0.666115 | + | 0.745849i | \(0.267956\pi\) | |||||||
\(338\) | 2.66358 | + | 2.47144i | 0.144879 | + | 0.134429i | ||||
\(339\) | −0.514158 | − | 3.16365i | −0.0279252 | − | 0.171826i | ||||
\(340\) | 0.669848 | − | 0.206621i | 0.0363276 | − | 0.0112056i | ||||
\(341\) | −13.2383 | − | 9.02574i | −0.716896 | − | 0.488771i | ||||
\(342\) | 18.1677 | + | 8.23935i | 0.982397 | + | 0.445533i | ||||
\(343\) | −15.9478 | − | 9.41629i | −0.861102 | − | 0.508432i | ||||
\(344\) | −14.8300 | + | 25.6864i | −0.799582 | + | 1.38492i | ||||
\(345\) | 1.86121 | − | 6.29009i | 0.100204 | − | 0.338647i | ||||
\(346\) | −6.05928 | + | 26.5475i | −0.325749 | + | 1.42720i | ||||
\(347\) | 1.00261 | − | 1.25723i | 0.0538228 | − | 0.0674916i | −0.754191 | − | 0.656655i | \(-0.771971\pi\) |
0.808014 | + | 0.589163i | \(0.200542\pi\) | |||||||
\(348\) | 0.207630 | − | 0.444157i | 0.0111301 | − | 0.0238093i | ||||
\(349\) | −13.5633 | − | 4.18372i | −0.726027 | − | 0.223950i | −0.0903556 | − | 0.995910i | \(-0.528800\pi\) |
−0.635671 | + | 0.771960i | \(0.719277\pi\) | |||||||
\(350\) | −16.5940 | + | 19.6458i | −0.886987 | + | 1.05011i | ||||
\(351\) | −19.3028 | − | 6.81642i | −1.03030 | − | 0.363834i | ||||
\(352\) | 0.113854 | + | 1.51928i | 0.00606844 | + | 0.0809777i | ||||
\(353\) | 0.165424 | − | 0.153491i | 0.00880465 | − | 0.00816952i | −0.675758 | − | 0.737123i | \(-0.736184\pi\) |
0.684563 | + | 0.728954i | \(0.259993\pi\) | |||||||
\(354\) | −23.0001 | − | 24.2228i | −1.22244 | − | 1.28743i | ||||
\(355\) | 28.6969 | − | 4.32536i | 1.52307 | − | 0.229566i | ||||
\(356\) | −0.269030 | − | 0.183422i | −0.0142586 | − | 0.00972133i | ||||
\(357\) | 6.61961 | + | 10.0658i | 0.350347 | + | 0.532738i | ||||
\(358\) | −5.47530 | + | 3.73300i | −0.289379 | + | 0.197295i | ||||
\(359\) | −24.5589 | + | 22.7873i | −1.29617 | + | 1.20267i | −0.330229 | + | 0.943901i | \(0.607126\pi\) |
−0.965939 | + | 0.258768i | \(0.916683\pi\) | |||||||
\(360\) | 20.4291 | − | 19.8500i | 1.07671 | − | 1.04619i | ||||
\(361\) | −1.14027 | + | 1.97500i | −0.0600142 | + | 0.103948i | ||||
\(362\) | −12.8960 | −0.677796 | ||||||||
\(363\) | −0.764778 | − | 1.54240i | −0.0401404 | − | 0.0809550i | ||||
\(364\) | 0.487606 | + | 0.648101i | 0.0255575 | + | 0.0339697i | ||||
\(365\) | −55.5219 | − | 8.36858i | −2.90615 | − | 0.438031i | ||||
\(366\) | 7.51233 | + | 2.84901i | 0.392676 | + | 0.148920i | ||||
\(367\) | −0.904498 | − | 12.0697i | −0.0472144 | − | 0.630033i | −0.969747 | − | 0.244113i | \(-0.921503\pi\) |
0.922532 | − | 0.385920i | \(-0.126116\pi\) | |||||||
\(368\) | 3.78914 | − | 2.58339i | 0.197522 | − | 0.134668i | ||||
\(369\) | −9.20065 | + | 4.69474i | −0.478967 | + | 0.244399i | ||||
\(370\) | 5.32456 | − | 6.67679i | 0.276811 | − | 0.347110i | ||||
\(371\) | 3.34004 | − | 2.92833i | 0.173406 | − | 0.152031i | ||||
\(372\) | 0.345285 | − | 0.519182i | 0.0179022 | − | 0.0269183i | ||||
\(373\) | 4.57327 | − | 7.92113i | 0.236795 | − | 0.410140i | −0.722998 | − | 0.690850i | \(-0.757236\pi\) |
0.959793 | + | 0.280710i | \(0.0905698\pi\) | |||||||
\(374\) | −13.1240 | −0.678628 | ||||||||
\(375\) | −5.72897 | + | 8.61428i | −0.295843 | + | 0.444839i | ||||
\(376\) | 3.15685 | + | 13.8311i | 0.162802 | + | 0.713283i | ||||
\(377\) | −12.9128 | − | 6.21846i | −0.665041 | − | 0.320267i | ||||
\(378\) | −17.2244 | − | 9.79925i | −0.885929 | − | 0.504019i | ||||
\(379\) | 18.8298 | − | 9.06795i | 0.967221 | − | 0.465789i | 0.117530 | − | 0.993069i | \(-0.462502\pi\) |
0.849691 | + | 0.527280i | \(0.176788\pi\) | |||||||
\(380\) | −0.766920 | − | 0.961688i | −0.0393422 | − | 0.0493335i | ||||
\(381\) | 8.39311 | + | 8.83932i | 0.429992 | + | 0.452852i | ||||
\(382\) | −7.13863 | − | 31.2764i | −0.365244 | − | 1.60024i | ||||
\(383\) | −9.07303 | + | 6.18589i | −0.463610 | + | 0.316084i | −0.772501 | − | 0.635013i | \(-0.780995\pi\) |
0.308891 | + | 0.951097i | \(0.400042\pi\) | |||||||
\(384\) | 20.5841 | − | 1.78108i | 1.05043 | − | 0.0908905i | ||||
\(385\) | 26.4315 | − | 16.9496i | 1.34708 | − | 0.863833i | ||||
\(386\) | −7.11699 | − | 31.1816i | −0.362245 | − | 1.58710i | ||||
\(387\) | 31.8571 | + | 4.05399i | 1.61939 | + | 0.206076i | ||||
\(388\) | 0.387835 | + | 0.988189i | 0.0196894 | + | 0.0501677i | ||||
\(389\) | 24.1713 | − | 7.45585i | 1.22553 | − | 0.378027i | 0.386592 | − | 0.922251i | \(-0.373652\pi\) |
0.838940 | + | 0.544224i | \(0.183176\pi\) | |||||||
\(390\) | 23.2089 | + | 24.4428i | 1.17523 | + | 1.23771i | ||||
\(391\) | 1.45273 | + | 2.51620i | 0.0734677 | + | 0.127250i | ||||
\(392\) | −8.73582 | − | 17.3166i | −0.441226 | − | 0.874620i | ||||
\(393\) | −10.1507 | − | 2.19420i | −0.512034 | − | 0.110683i | ||||
\(394\) | 12.6330 | − | 6.08372i | 0.636440 | − | 0.306493i | ||||
\(395\) | −3.06199 | − | 2.84111i | −0.154066 | − | 0.142952i | ||||
\(396\) | 0.720102 | − | 0.367441i | 0.0361865 | − | 0.0184646i | ||||
\(397\) | 5.17560 | − | 1.59646i | 0.259756 | − | 0.0801241i | −0.162142 | − | 0.986767i | \(-0.551840\pi\) |
0.421898 | + | 0.906643i | \(0.361364\pi\) | |||||||
\(398\) | 17.1158 | + | 5.27953i | 0.857939 | + | 0.264639i | ||||
\(399\) | 12.1981 | − | 17.2655i | 0.610667 | − | 0.864357i | ||||
\(400\) | −26.7374 | + | 8.24740i | −1.33687 | + | 0.412370i | ||||
\(401\) | −23.7345 | + | 16.1819i | −1.18524 | + | 0.808086i | −0.985151 | − | 0.171691i | \(-0.945077\pi\) |
−0.200094 | + | 0.979777i | \(0.564125\pi\) | |||||||
\(402\) | 3.05392 | − | 1.81037i | 0.152315 | − | 0.0902931i | ||||
\(403\) | −15.0594 | − | 10.2673i | −0.750163 | − | 0.511452i | ||||
\(404\) | 0.409403 | − | 1.04314i | 0.0203686 | − | 0.0518982i | ||||
\(405\) | −28.3735 | − | 12.0882i | −1.40989 | − | 0.600668i | ||||
\(406\) | −11.2385 | − | 8.13554i | −0.557757 | − | 0.403760i | ||||
\(407\) | −4.94708 | + | 3.37286i | −0.245218 | + | 0.167187i | ||||
\(408\) | 0.145243 | + | 12.6158i | 0.00719058 | + | 0.624574i | ||||
\(409\) | 12.3413 | + | 15.4755i | 0.610239 | + | 0.765215i | 0.986934 | − | 0.161122i | \(-0.0515113\pi\) |
−0.376696 | + | 0.926337i | \(0.622940\pi\) | |||||||
\(410\) | 17.0074 | 0.839937 | ||||||||
\(411\) | 6.87411 | − | 7.58174i | 0.339075 | − | 0.373980i | ||||
\(412\) | −1.26691 | + | 0.190956i | −0.0624162 | + | 0.00940773i | ||||
\(413\) | −29.7969 | + | 19.1077i | −1.46621 | + | 0.940230i | ||||
\(414\) | −4.00970 | − | 2.60060i | −0.197066 | − | 0.127813i | ||||
\(415\) | −54.3869 | − | 8.19751i | −2.66975 | − | 0.402400i | ||||
\(416\) | 0.129516 | + | 1.72827i | 0.00635004 | + | 0.0847355i | ||||
\(417\) | 31.0730 | − | 12.6100i | 1.52165 | − | 0.617514i | ||||
\(418\) | 8.41345 | + | 21.4371i | 0.411515 | + | 1.04852i | ||||
\(419\) | −19.6385 | − | 2.96003i | −0.959406 | − | 0.144607i | −0.349373 | − | 0.936984i | \(-0.613605\pi\) |
−0.610032 | + | 0.792376i | \(0.708844\pi\) | |||||||
\(420\) | 0.671396 | + | 1.02093i | 0.0327608 | + | 0.0498161i | ||||
\(421\) | 16.3968 | − | 2.47142i | 0.799132 | − | 0.120450i | 0.263234 | − | 0.964732i | \(-0.415211\pi\) |
0.535899 | + | 0.844282i | \(0.319973\pi\) | |||||||
\(422\) | −3.33714 | − | 5.78010i | −0.162449 | − | 0.281371i | ||||
\(423\) | 12.4889 | − | 8.94278i | 0.607230 | − | 0.434813i | ||||
\(424\) | 4.59988 | − | 0.693320i | 0.223390 | − | 0.0336706i | ||||
\(425\) | −3.94463 | − | 17.2826i | −0.191343 | − | 0.838328i | ||||
\(426\) | 2.91045 | − | 20.9427i | 0.141012 | − | 1.01468i | ||||
\(427\) | 4.46319 | − | 7.25054i | 0.215989 | − | 0.350878i | ||||
\(428\) | −1.10816 | − | 0.755529i | −0.0535648 | − | 0.0365199i | ||||
\(429\) | −10.4979 | − | 21.1721i | −0.506844 | − | 1.02220i | ||||
\(430\) | −43.6889 | − | 29.7866i | −2.10687 | − | 1.43644i | ||||
\(431\) | 1.81295 | + | 0.559220i | 0.0873265 | + | 0.0269367i | 0.338111 | − | 0.941106i | \(-0.390212\pi\) |
−0.250784 | + | 0.968043i | \(0.580688\pi\) | |||||||
\(432\) | −10.0205 | − | 19.0919i | −0.482113 | − | 0.918558i | ||||
\(433\) | −0.986176 | + | 4.32072i | −0.0473926 | + | 0.207641i | −0.993081 | − | 0.117435i | \(-0.962533\pi\) |
0.945688 | + | 0.325076i | \(0.105390\pi\) | |||||||
\(434\) | −12.5906 | − | 12.3608i | −0.604369 | − | 0.593336i | ||||
\(435\) | −18.8227 | − | 10.5803i | −0.902480 | − | 0.507285i | ||||
\(436\) | 0.486572 | + | 0.451473i | 0.0233026 | + | 0.0216216i | ||||
\(437\) | 3.17872 | − | 3.98599i | 0.152059 | − | 0.190676i | ||||
\(438\) | −17.3242 | + | 37.0594i | −0.827781 | + | 1.77077i | ||||
\(439\) | −21.0994 | + | 10.1610i | −1.00702 | + | 0.484956i | −0.863316 | − | 0.504665i | \(-0.831616\pi\) |
−0.143706 | + | 0.989620i | \(0.545902\pi\) | |||||||
\(440\) | 32.8829 | 1.56763 | ||||||||
\(441\) | −13.6335 | + | 15.9727i | −0.649213 | + | 0.760606i | ||||
\(442\) | −14.9294 | −0.710119 | ||||||||
\(443\) | −7.72014 | + | 3.71782i | −0.366795 | + | 0.176639i | −0.608197 | − | 0.793786i | \(-0.708107\pi\) |
0.241402 | + | 0.970425i | \(0.422393\pi\) | |||||||
\(444\) | −0.133463 | − | 0.190993i | −0.00633389 | − | 0.00906413i | ||||
\(445\) | −8.94075 | + | 11.2113i | −0.423832 | + | 0.531469i | ||||
\(446\) | −19.4714 | − | 18.0669i | −0.921999 | − | 0.855490i | ||||
\(447\) | −0.0174774 | − | 1.51809i | −0.000826654 | − | 0.0718031i | ||||
\(448\) | 2.08487 | − | 20.1723i | 0.0985009 | − | 0.953050i | ||||
\(449\) | 2.13104 | − | 9.33668i | 0.100570 | − | 0.440625i | −0.899424 | − | 0.437077i | \(-0.856014\pi\) |
0.999994 | − | 0.00354766i | \(-0.00112926\pi\) | |||||||
\(450\) | 18.7006 | + | 22.3731i | 0.881553 | + | 1.05468i | ||||
\(451\) | −11.3944 | − | 3.51470i | −0.536541 | − | 0.165501i | ||||
\(452\) | 0.118969 | + | 0.0811118i | 0.00559584 | + | 0.00381518i | ||||
\(453\) | −8.92144 | − | 0.565371i | −0.419166 | − | 0.0265635i | ||||
\(454\) | 30.6120 | + | 20.8709i | 1.43669 | + | 0.979522i | ||||
\(455\) | 30.0675 | − | 19.2812i | 1.40959 | − | 0.903919i | ||||
\(456\) | 20.5138 | − | 8.32486i | 0.960647 | − | 0.389847i | ||||
\(457\) | −5.12825 | − | 22.4684i | −0.239890 | − | 1.05103i | −0.941115 | − | 0.338086i | \(-0.890221\pi\) |
0.701226 | − | 0.712939i | \(-0.252637\pi\) | |||||||
\(458\) | 12.7132 | − | 1.91621i | 0.594051 | − | 0.0895388i | ||||
\(459\) | 12.5362 | − | 5.42683i | 0.585141 | − | 0.253303i | ||||
\(460\) | 0.147344 | + | 0.255207i | 0.00686994 | + | 0.0118991i | ||||
\(461\) | −21.7566 | + | 3.27928i | −1.01331 | + | 0.152731i | −0.634644 | − | 0.772804i | \(-0.718853\pi\) |
−0.378661 | + | 0.925536i | \(0.623615\pi\) | |||||||
\(462\) | −6.37758 | − | 21.9698i | −0.296712 | − | 1.02213i | ||||
\(463\) | −24.2373 | − | 3.65319i | −1.12640 | − | 0.169778i | −0.440697 | − | 0.897656i | \(-0.645269\pi\) |
−0.685707 | + | 0.727878i | \(0.740507\pi\) | |||||||
\(464\) | −5.51511 | − | 14.0523i | −0.256033 | − | 0.652361i | ||||
\(465\) | −21.6646 | − | 16.8726i | −1.00467 | − | 0.782447i | ||||
\(466\) | 0.905000 | + | 12.0764i | 0.0419233 | + | 0.559428i | ||||
\(467\) | −0.728376 | − | 0.109785i | −0.0337052 | − | 0.00508024i | 0.132168 | − | 0.991227i | \(-0.457806\pi\) |
−0.165873 | + | 0.986147i | \(0.553044\pi\) | |||||||
\(468\) | 0.819161 | − | 0.417987i | 0.0378657 | − | 0.0193214i | ||||
\(469\) | −1.27522 | − | 3.53944i | −0.0588842 | − | 0.163436i | ||||
\(470\) | −25.0091 | + | 3.76952i | −1.15359 | + | 0.173875i | ||||
\(471\) | −9.24013 | − | 28.7754i | −0.425763 | − | 1.32590i | ||||
\(472\) | −37.0697 | −1.70627 | ||||||||
\(473\) | 23.1145 | + | 28.9846i | 1.06280 | + | 1.33271i | ||||
\(474\) | −2.61788 | + | 1.55189i | −0.120243 | + | 0.0712805i | ||||
\(475\) | −25.7010 | + | 17.5226i | −1.17924 | + | 0.803994i | ||||
\(476\) | −0.532687 | − | 0.0957157i | −0.0244157 | − | 0.00438712i | ||||
\(477\) | −2.61811 | − | 4.30278i | −0.119875 | − | 0.197011i | ||||
\(478\) | 12.2267 | − | 31.1530i | 0.559235 | − | 1.42491i | ||||
\(479\) | −21.6468 | − | 14.7585i | −0.989067 | − | 0.674334i | −0.0432600 | − | 0.999064i | \(-0.513774\pi\) |
−0.945807 | + | 0.324729i | \(0.894727\pi\) | |||||||
\(480\) | 0.0300589 | + | 2.61092i | 0.00137200 | + | 0.119172i | ||||
\(481\) | −5.62761 | + | 3.83684i | −0.256597 | + | 0.174945i | ||||
\(482\) | 26.6551 | − | 8.22200i | 1.21410 | − | 0.374502i | ||||
\(483\) | −3.50620 | + | 3.65463i | −0.159538 | + | 0.166291i | ||||
\(484\) | 0.0739050 | + | 0.0227967i | 0.00335932 | + | 0.00103621i | ||||
\(485\) | 44.6747 | − | 13.7803i | 2.02858 | − | 0.625733i | ||||
\(486\) | −14.3107 | + | 17.3238i | −0.649145 | + | 0.785822i | ||||
\(487\) | 13.0119 | + | 12.0733i | 0.589627 | + | 0.547094i | 0.917555 | − | 0.397609i | \(-0.130160\pi\) |
−0.327928 | + | 0.944703i | \(0.606350\pi\) | |||||||
\(488\) | 8.03341 | − | 3.86869i | 0.363656 | − | 0.175127i | ||||
\(489\) | −22.0853 | + | 24.3588i | −0.998731 | + | 1.10154i | ||||
\(490\) | 31.9489 | − | 13.2233i | 1.44330 | − | 0.597369i | ||||
\(491\) | 11.5864 | + | 20.0682i | 0.522886 | + | 0.905665i | 0.999645 | + | 0.0266314i | \(0.00847805\pi\) |
−0.476759 | + | 0.879034i | \(0.658189\pi\) | |||||||
\(492\) | 0.131662 | − | 0.444960i | 0.00593577 | − | 0.0200604i | ||||
\(493\) | 9.13903 | − | 2.81902i | 0.411601 | − | 0.126962i | ||||
\(494\) | 9.57082 | + | 24.3860i | 0.430611 | + | 1.09718i | ||||
\(495\) | −13.7670 | − | 32.8341i | −0.618779 | − | 1.47578i | ||||
\(496\) | −4.27189 | − | 18.7164i | −0.191813 | − | 0.840389i | ||||
\(497\) | −21.2163 | − | 7.20523i | −0.951681 | − | 0.323199i | ||||
\(498\) | −16.9700 | + | 36.3019i | −0.760446 | + | 1.62673i | ||||
\(499\) | −5.19581 | + | 3.54245i | −0.232597 | + | 0.158582i | −0.674010 | − | 0.738722i | \(-0.735430\pi\) |
0.441414 | + | 0.897304i | \(0.354477\pi\) | |||||||
\(500\) | −0.103418 | − | 0.453105i | −0.00462500 | − | 0.0202635i | ||||
\(501\) | −6.18681 | + | 20.9088i | −0.276406 | + | 0.934135i | ||||
\(502\) | 12.4197 | + | 15.5738i | 0.554320 | + | 0.695095i | ||||
\(503\) | 39.1127 | − | 18.8357i | 1.74395 | − | 0.839842i | 0.762789 | − | 0.646647i | \(-0.223829\pi\) |
0.981160 | − | 0.193195i | \(-0.0618849\pi\) | |||||||
\(504\) | −21.0484 | + | 6.37373i | −0.937569 | + | 0.283909i | ||||
\(505\) | −44.4643 | − | 21.4129i | −1.97864 | − | 0.952861i | ||||
\(506\) | −1.22769 | − | 5.37884i | −0.0545773 | − | 0.239119i | ||||
\(507\) | −1.93951 | − | 3.91160i | −0.0861369 | − | 0.173720i | ||||
\(508\) | −0.547592 | −0.0242954 | ||||||||
\(509\) | 17.3473 | − | 30.0465i | 0.768907 | − | 1.33179i | −0.169249 | − | 0.985573i | \(-0.554134\pi\) |
0.938156 | − | 0.346213i | \(-0.112532\pi\) | |||||||
\(510\) | −22.4474 | − | 1.42254i | −0.993987 | − | 0.0629911i | ||||
\(511\) | 35.1160 | + | 25.4204i | 1.55344 | + | 1.12453i | ||||
\(512\) | 13.1989 | − | 16.5509i | 0.583316 | − | 0.731455i | ||||
\(513\) | −16.9010 | − | 16.9980i | −0.746195 | − | 0.750480i | ||||
\(514\) | −9.25510 | + | 6.31002i | −0.408225 | + | 0.278323i | ||||
\(515\) | 4.21666 | + | 56.2674i | 0.185808 | + | 2.47944i | ||||
\(516\) | −1.11751 | + | 0.912429i | −0.0491957 | + | 0.0401675i | ||||
\(517\) | 17.5343 | + | 2.64287i | 0.771156 | + | 0.116233i | ||||
\(518\) | −6.01878 | + | 2.69224i | −0.264450 | + | 0.118290i | ||||
\(519\) | 18.1192 | − | 27.2446i | 0.795343 | − | 1.19591i | ||||
\(520\) | 37.4063 | 1.64037 | ||||||||
\(521\) | −1.70305 | + | 2.94978i | −0.0746121 | + | 0.129232i | −0.900918 | − | 0.433990i | \(-0.857105\pi\) |
0.826305 | + | 0.563222i | \(0.190439\pi\) | |||||||
\(522\) | −11.2828 | + | 10.9630i | −0.493834 | + | 0.479837i | ||||
\(523\) | 22.6960 | − | 21.0588i | 0.992425 | − | 0.920835i | −0.00443771 | − | 0.999990i | \(-0.501413\pi\) |
0.996862 | + | 0.0791547i | \(0.0252221\pi\) | |||||||
\(524\) | 0.385476 | − | 0.262813i | 0.0168396 | − | 0.0114810i | ||||
\(525\) | 27.0143 | − | 15.0018i | 1.17900 | − | 0.654731i | ||||
\(526\) | 10.0747 | + | 6.86882i | 0.439278 | + | 0.299495i | ||||
\(527\) | 12.0268 | − | 1.81275i | 0.523897 | − | 0.0789648i | ||||
\(528\) | 7.06249 | − | 23.8682i | 0.307355 | − | 1.03873i | ||||
\(529\) | 15.9648 | − | 14.8132i | 0.694123 | − | 0.644052i | ||||
\(530\) | 0.619746 | + | 8.26993i | 0.0269200 | + | 0.359223i | ||||
\(531\) | 15.5198 | + | 37.0146i | 0.673504 | + | 1.60630i | ||||
\(532\) | 0.185146 | + | 0.931465i | 0.00802711 | + | 0.0403841i | ||||
\(533\) | −12.9618 | − | 3.99819i | −0.561439 | − | 0.173181i | ||||
\(534\) | 5.98436 | + | 8.56393i | 0.258969 | + | 0.370598i | ||||
\(535\) | −36.8277 | + | 46.1805i | −1.59220 | + | 1.99656i | ||||
\(536\) | 0.876714 | − | 3.84113i | 0.0378683 | − | 0.165912i | ||||
\(537\) | 7.74214 | − | 1.86112i | 0.334098 | − | 0.0803131i | ||||
\(538\) | −7.70003 | + | 13.3368i | −0.331972 | + | 0.574992i | ||||
\(539\) | −24.1373 | + | 2.25672i | −1.03967 | + | 0.0972037i | ||||
\(540\) | 1.27149 | − | 0.550419i | 0.0547163 | − | 0.0236862i | ||||
\(541\) | 12.4470 | + | 8.48619i | 0.535136 | + | 0.364850i | 0.800532 | − | 0.599290i | \(-0.204550\pi\) |
−0.265396 | + | 0.964140i | \(0.585503\pi\) | |||||||
\(542\) | 42.3143 | − | 13.0522i | 1.81755 | − | 0.560641i | ||||
\(543\) | 14.4888 | + | 5.49478i | 0.621772 | + | 0.235804i | ||||
\(544\) | −0.847792 | − | 0.786636i | −0.0363488 | − | 0.0337268i | ||||
\(545\) | 21.4287 | − | 19.8829i | 0.917905 | − | 0.851692i | ||||
\(546\) | −7.25489 | − | 24.9920i | −0.310481 | − | 1.06956i | ||||
\(547\) | 24.6950 | + | 22.9136i | 1.05588 | + | 0.979717i | 0.999825 | − | 0.0187109i | \(-0.00595622\pi\) |
0.0560584 | + | 0.998427i | \(0.482147\pi\) | |||||||
\(548\) | 0.0343576 | + | 0.458471i | 0.00146769 | + | 0.0195849i | ||||
\(549\) | −7.22627 | − | 6.40180i | −0.308410 | − | 0.273222i | ||||
\(550\) | −2.51555 | + | 33.5677i | −0.107263 | + | 1.43133i | ||||
\(551\) | −10.4634 | − | 13.1207i | −0.445757 | − | 0.558961i | ||||
\(552\) | −5.15695 | + | 1.23967i | −0.219494 | + | 0.0527638i | ||||
\(553\) | 1.09314 | + | 3.03408i | 0.0464852 | + | 0.129022i | ||||
\(554\) | −1.13724 | − | 15.1755i | −0.0483169 | − | 0.644744i | ||||
\(555\) | −8.82710 | + | 5.23273i | −0.374689 | + | 0.222117i | ||||
\(556\) | −0.550385 | + | 1.40236i | −0.0233415 | + | 0.0594732i | ||||
\(557\) | −7.46047 | + | 12.9219i | −0.316110 | + | 0.547519i | −0.979673 | − | 0.200602i | \(-0.935710\pi\) |
0.663563 | + | 0.748121i | \(0.269044\pi\) | |||||||
\(558\) | −16.2663 | + | 11.6476i | −0.688606 | + | 0.493083i | ||||
\(559\) | 26.2941 | + | 32.9718i | 1.11212 | + | 1.39456i | ||||
\(560\) | 37.0289 | + | 6.65353i | 1.56476 | + | 0.281163i | ||||
\(561\) | 14.7450 | + | 5.59196i | 0.622535 | + | 0.236093i | ||||
\(562\) | −3.18296 | − | 8.11006i | −0.134265 | − | 0.342102i | ||||
\(563\) | 20.7661 | + | 10.0004i | 0.875189 | + | 0.421469i | 0.816865 | − | 0.576829i | \(-0.195710\pi\) |
0.0583238 | + | 0.998298i | \(0.481424\pi\) | |||||||
\(564\) | −0.0949857 | + | 0.683489i | −0.00399962 | + | 0.0287801i | ||||
\(565\) | 3.95373 | − | 4.95783i | 0.166335 | − | 0.208577i | ||||
\(566\) | 26.2675 | − | 32.9384i | 1.10411 | − | 1.38451i | ||||
\(567\) | 15.1765 | + | 18.3487i | 0.637354 | + | 0.770571i | ||||
\(568\) | −14.6302 | − | 18.3457i | −0.613871 | − | 0.769770i | ||||
\(569\) | −46.5999 | −1.95357 | −0.976786 | − | 0.214219i | \(-0.931279\pi\) | ||||
−0.976786 | + | 0.214219i | \(0.931279\pi\) | |||||||
\(570\) | 12.0668 | + | 37.5781i | 0.505422 | + | 1.57397i | ||||
\(571\) | 1.14009 | + | 1.42962i | 0.0477111 | + | 0.0598279i | 0.805115 | − | 0.593119i | \(-0.202104\pi\) |
−0.757403 | + | 0.652947i | \(0.773532\pi\) | |||||||
\(572\) | 1.01448 | + | 0.312924i | 0.0424173 | + | 0.0130840i | ||||
\(573\) | −5.30609 | + | 38.1811i | −0.221665 | + | 1.59504i | ||||
\(574\) | −11.6654 | − | 6.02850i | −0.486902 | − | 0.251625i | ||||
\(575\) | 6.71420 | − | 3.23339i | 0.280002 | − | 0.134842i | ||||
\(576\) | −22.1236 | − | 6.27022i | −0.921819 | − | 0.261259i | ||||
\(577\) | 0.562936 | − | 7.51186i | 0.0234353 | − | 0.312723i | −0.973151 | − | 0.230167i | \(-0.926073\pi\) |
0.996586 | − | 0.0825557i | \(-0.0263082\pi\) | |||||||
\(578\) | −10.6603 | + | 9.89130i | −0.443409 | + | 0.411424i | ||||
\(579\) | −5.29000 | + | 38.0653i | −0.219845 | + | 1.58194i | ||||
\(580\) | 0.926929 | − | 0.285920i | 0.0384886 | − | 0.0118722i | ||||
\(581\) | 34.3982 | + | 24.9008i | 1.42708 | + | 1.03306i | ||||
\(582\) | −0.392124 | − | 34.0599i | −0.0162541 | − | 1.41183i | ||||
\(583\) | 1.29383 | − | 5.66864i | 0.0535850 | − | 0.234771i | ||||
\(584\) | 16.5863 | + | 42.2613i | 0.686347 | + | 1.74878i | ||||
\(585\) | −15.6608 | − | 37.3508i | −0.647493 | − | 1.54426i | ||||
\(586\) | −21.3025 | − | 14.5238i | −0.880000 | − | 0.599974i | ||||
\(587\) | 5.61817 | − | 9.73095i | 0.231887 | − | 0.401639i | −0.726477 | − | 0.687191i | \(-0.758843\pi\) |
0.958363 | + | 0.285552i | \(0.0921768\pi\) | |||||||
\(588\) | −0.0986282 | − | 0.938237i | −0.00406736 | − | 0.0386922i | ||||
\(589\) | −10.6711 | − | 18.4828i | −0.439693 | − | 0.761571i | ||||
\(590\) | 4.93864 | − | 65.9016i | 0.203321 | − | 2.71313i | ||||
\(591\) | −16.7855 | + | 1.45240i | −0.690462 | + | 0.0597437i | ||||
\(592\) | −7.09393 | − | 1.06924i | −0.291559 | − | 0.0439454i | ||||
\(593\) | 32.4451 | − | 10.0080i | 1.33236 | − | 0.410979i | 0.454864 | − | 0.890561i | \(-0.349688\pi\) |
0.877497 | + | 0.479582i | \(0.159212\pi\) | |||||||
\(594\) | −25.7849 | + | 2.83052i | −1.05797 | + | 0.116138i | ||||
\(595\) | −5.95669 | + | 23.0790i | −0.244201 | + | 0.946148i | ||||
\(596\) | 0.0499966 | + | 0.0463900i | 0.00204794 | + | 0.00190021i | ||||
\(597\) | −16.9803 | − | 13.2244i | −0.694957 | − | 0.541240i | ||||
\(598\) | −1.39657 | − | 6.11876i | −0.0571099 | − | 0.250215i | ||||
\(599\) | −41.1080 | + | 19.7966i | −1.67963 | + | 0.808866i | −0.682686 | + | 0.730712i | \(0.739188\pi\) |
−0.996941 | + | 0.0781536i | \(0.975098\pi\) | |||||||
\(600\) | 32.2955 | + | 2.04664i | 1.31846 | + | 0.0835536i | ||||
\(601\) | 2.13405 | − | 28.4770i | 0.0870498 | − | 1.16160i | −0.767084 | − | 0.641546i | \(-0.778293\pi\) |
0.854134 | − | 0.520053i | \(-0.174088\pi\) | |||||||
\(602\) | 19.4079 | + | 35.9167i | 0.791006 | + | 1.46385i | ||||
\(603\) | −4.20248 | + | 0.732743i | −0.171138 | + | 0.0298396i | ||||
\(604\) | 0.294388 | − | 0.273152i | 0.0119785 | − | 0.0111144i | ||||
\(605\) | 1.24439 | − | 3.17066i | 0.0505918 | − | 0.128906i | ||||
\(606\) | −24.1515 | + | 26.6377i | −0.981087 | + | 1.08208i | ||||
\(607\) | 8.77254 | − | 15.1945i | 0.356066 | − | 0.616725i | −0.631233 | − | 0.775593i | \(-0.717451\pi\) |
0.987300 | + | 0.158868i | \(0.0507843\pi\) | |||||||
\(608\) | −0.741415 | + | 1.88910i | −0.0300684 | + | 0.0766129i | ||||
\(609\) | 9.16014 | + | 13.9289i | 0.371188 | + | 0.564429i | ||||
\(610\) | 5.80740 | + | 14.7970i | 0.235135 | + | 0.599114i | ||||
\(611\) | 19.9463 | + | 3.00642i | 0.806941 | + | 0.121627i | ||||
\(612\) | −0.210992 | + | 0.576272i | −0.00852886 | + | 0.0232944i | ||||
\(613\) | −9.01122 | + | 6.14375i | −0.363960 | + | 0.248144i | −0.731467 | − | 0.681877i | \(-0.761164\pi\) |
0.367507 | + | 0.930021i | \(0.380211\pi\) | |||||||
\(614\) | −7.39925 | + | 9.27836i | −0.298609 | + | 0.374444i | ||||
\(615\) | −19.1080 | − | 7.24662i | −0.770510 | − | 0.292212i | ||||
\(616\) | −22.5543 | − | 11.6558i | −0.908739 | − | 0.469624i | ||||
\(617\) | −3.29298 | + | 8.39037i | −0.132570 | + | 0.337784i | −0.981709 | − | 0.190386i | \(-0.939026\pi\) |
0.849139 | + | 0.528169i | \(0.177121\pi\) | |||||||
\(618\) | 40.1819 | + | 8.68583i | 1.61635 | + | 0.349395i | ||||
\(619\) | −2.48525 | − | 4.30458i | −0.0998905 | − | 0.173015i | 0.811749 | − | 0.584007i | \(-0.198516\pi\) |
−0.911639 | + | 0.410991i | \(0.865183\pi\) | |||||||
\(620\) | 1.21983 | − | 0.183859i | 0.0489894 | − | 0.00738396i | ||||
\(621\) | 3.39687 | + | 4.63028i | 0.136312 | + | 0.185807i | ||||
\(622\) | 3.69796 | + | 1.78084i | 0.148275 | + | 0.0714053i | ||||
\(623\) | 10.1065 | − | 4.52067i | 0.404907 | − | 0.181117i | ||||
\(624\) | 8.03401 | − | 27.1515i | 0.321618 | − | 1.08693i | ||||
\(625\) | 13.0990 | − | 1.97436i | 0.523961 | − | 0.0789744i | ||||
\(626\) | −3.09238 | + | 1.48921i | −0.123596 | + | 0.0595208i | ||||
\(627\) | −0.318555 | − | 27.6697i | −0.0127219 | − | 1.10502i | ||||
\(628\) | 1.22326 | + | 0.589093i | 0.0488136 | + | 0.0235074i | ||||
\(629\) | 1.01138 | − | 4.43116i | 0.0403265 | − | 0.176682i | ||||
\(630\) | −8.52688 | − | 38.2685i | −0.339719 | − | 1.52465i | ||||
\(631\) | 7.55830 | + | 33.1151i | 0.300891 | + | 1.31829i | 0.868785 | + | 0.495189i | \(0.164901\pi\) |
−0.567894 | + | 0.823102i | \(0.692242\pi\) | |||||||
\(632\) | −0.751536 | + | 3.29270i | −0.0298945 | + | 0.130976i | ||||
\(633\) | 1.28650 | + | 7.91591i | 0.0511337 | + | 0.314629i | ||||
\(634\) | 3.92754 | − | 17.2077i | 0.155983 | − | 0.683405i | ||||
\(635\) | −1.80219 | + | 24.0486i | −0.0715179 | + | 0.954340i | ||||
\(636\) | 0.221162 | + | 0.0478069i | 0.00876963 | + | 0.00189567i | ||||
\(637\) | −27.4577 | + | 2.56715i | −1.08791 | + | 0.101714i | ||||
\(638\) | −18.1609 | −0.718997 | ||||||||
\(639\) | −12.1933 | + | 22.2893i | −0.482360 | + | 0.881750i | ||||
\(640\) | 29.9651 | + | 27.8035i | 1.18447 | + | 1.09903i | ||||
\(641\) | −27.6491 | − | 4.16743i | −1.09207 | − | 0.164603i | −0.421778 | − | 0.906699i | \(-0.638594\pi\) |
−0.670294 | + | 0.742095i | \(0.733832\pi\) | |||||||
\(642\) | 24.6501 | + | 35.2755i | 0.972860 | + | 1.39221i | ||||
\(643\) | −12.3645 | + | 11.4726i | −0.487608 | + | 0.452435i | −0.885256 | − | 0.465104i | \(-0.846017\pi\) |
0.397648 | + | 0.917538i | \(0.369827\pi\) | |||||||
\(644\) | −0.0106013 | − | 0.227274i | −0.000417751 | − | 0.00895584i | ||||
\(645\) | 36.3933 | + | 52.0808i | 1.43299 | + | 2.05068i | ||||
\(646\) | −15.7502 | − | 7.58491i | −0.619685 | − | 0.298424i | ||||
\(647\) | −18.3793 | − | 5.66927i | −0.722566 | − | 0.222882i | −0.0884067 | − | 0.996084i | \(-0.528177\pi\) |
−0.634159 | + | 0.773202i | \(0.718654\pi\) | |||||||
\(648\) | 3.00626 | + | 24.7550i | 0.118097 | + | 0.972467i | ||||
\(649\) | −16.9278 | + | 43.1312i | −0.664472 | + | 1.69305i | ||||
\(650\) | −2.86159 | + | 38.1853i | −0.112241 | + | 1.49775i | ||||
\(651\) | 8.87896 | + | 19.2521i | 0.347994 | + | 0.754551i | ||||
\(652\) | −0.110385 | − | 1.47298i | −0.00432301 | − | 0.0576865i | ||||
\(653\) | −6.59115 | − | 2.03310i | −0.257932 | − | 0.0795614i | 0.163092 | − | 0.986611i | \(-0.447853\pi\) |
−0.421024 | + | 0.907049i | \(0.638329\pi\) | |||||||
\(654\) | −9.46108 | − | 19.0810i | −0.369957 | − | 0.746128i | ||||
\(655\) | −10.2733 | − | 17.7939i | −0.401412 | − | 0.695265i | ||||
\(656\) | −7.14363 | − | 12.3731i | −0.278912 | − | 0.483089i | ||||
\(657\) | 35.2544 | − | 34.2551i | 1.37540 | − | 1.33642i | ||||
\(658\) | 18.4899 | + | 6.27931i | 0.720810 | + | 0.244793i | ||||
\(659\) | 12.2319 | + | 31.1664i | 0.476488 | + | 1.21407i | 0.943959 | + | 0.330064i | \(0.107070\pi\) |
−0.467470 | + | 0.884009i | \(0.654835\pi\) | |||||||
\(660\) | 1.49552 | + | 0.567167i | 0.0582129 | + | 0.0220770i | ||||
\(661\) | 12.5090 | + | 6.02403i | 0.486545 | + | 0.234308i | 0.661041 | − | 0.750350i | \(-0.270115\pi\) |
−0.174495 | + | 0.984658i | \(0.555829\pi\) | |||||||
\(662\) | 32.0401 | + | 15.4297i | 1.24528 | + | 0.599693i | ||||
\(663\) | 16.7733 | + | 6.36120i | 0.651423 | + | 0.247049i | ||||
\(664\) | 16.2473 | + | 41.3974i | 0.630517 | + | 1.60653i | ||||
\(665\) | 41.5165 | − | 5.06551i | 1.60994 | − | 0.196432i | ||||
\(666\) | 1.83100 | + | 7.24862i | 0.0709498 | + | 0.280878i | ||||
\(667\) | 2.01027 | + | 3.48189i | 0.0778381 | + | 0.134820i | ||||
\(668\) | −0.489783 | − | 0.848329i | −0.0189503 | − | 0.0328228i | ||||
\(669\) | 14.1784 | + | 28.5948i | 0.548167 | + | 1.10554i | ||||
\(670\) | 6.71188 | + | 2.07034i | 0.259303 | + | 0.0799842i | ||||
\(671\) | −0.832852 | − | 11.1136i | −0.0321519 | − | 0.429037i | ||||
\(672\) | 0.904856 | − | 1.80148i | 0.0349056 | − | 0.0694935i | ||||
\(673\) | −0.447465 | + | 5.97101i | −0.0172485 | + | 0.230166i | 0.981917 | + | 0.189314i | \(0.0606263\pi\) |
−0.999165 | + | 0.0408520i | \(0.986993\pi\) | |||||||
\(674\) | −0.367551 | + | 0.936505i | −0.0141575 | + | 0.0360728i | ||||
\(675\) | −11.4775 | − | 33.1044i | −0.441768 | − | 1.27419i | ||||
\(676\) | 0.187427 | + | 0.0578135i | 0.00720872 | + | 0.00222360i | ||||
\(677\) | −3.85559 | − | 1.85676i | −0.148182 | − | 0.0713609i | 0.358323 | − | 0.933598i | \(-0.383349\pi\) |
−0.506505 | + | 0.862237i | \(0.669063\pi\) | |||||||
\(678\) | −2.64637 | − | 3.78710i | −0.101633 | − | 0.145443i | ||||
\(679\) | −35.5269 | − | 6.38365i | −1.36340 | − | 0.244982i | ||||
\(680\) | −18.2981 | + | 16.9782i | −0.701701 | + | 0.651083i | ||||
\(681\) | −25.5002 | − | 36.4921i | −0.977169 | − | 1.39838i | ||||
\(682\) | −22.8377 | − | 3.44223i | −0.874501 | − | 0.131810i | ||||
\(683\) | 3.45951 | + | 3.20996i | 0.132375 | + | 0.122826i | 0.743582 | − | 0.668645i | \(-0.233125\pi\) |
−0.611207 | + | 0.791471i | \(0.709316\pi\) | |||||||
\(684\) | 1.07656 | − | 0.0247917i | 0.0411632 | − | 0.000947933i | ||||
\(685\) | 20.2478 | 0.773627 | ||||||||
\(686\) | −26.6008 | − | 2.25484i | −1.01562 | − | 0.0860903i | ||||
\(687\) | −15.1000 | − | 3.26405i | −0.576099 | − | 0.124531i | ||||
\(688\) | −3.31949 | + | 44.2955i | −0.126554 | + | 1.68875i | ||||
\(689\) | 1.47181 | − | 6.44843i | 0.0560716 | − | 0.245666i | ||||
\(690\) | −1.51681 | − | 9.33306i | −0.0577441 | − | 0.355303i | ||||
\(691\) | −4.53669 | + | 19.8765i | −0.172584 | + | 0.756139i | 0.812345 | + | 0.583177i | \(0.198191\pi\) |
−0.984929 | + | 0.172961i | \(0.944666\pi\) | |||||||
\(692\) | 0.327083 | + | 1.43305i | 0.0124338 | + | 0.0544762i | ||||
\(693\) | −2.19573 | + | 27.4007i | −0.0834089 | + | 1.04087i | ||||
\(694\) | 0.515793 | − | 2.25984i | 0.0195792 | − | 0.0857822i | ||||
\(695\) | 59.7761 | + | 28.7866i | 2.26743 | + | 1.09194i | ||||
\(696\) | 0.200985 | + | 17.4576i | 0.00761833 | + | 0.661728i | ||||
\(697\) | 8.15528 | − | 3.92737i | 0.308903 | − | 0.148760i | ||||
\(698\) | −20.2314 | + | 3.04940i | −0.765771 | + | 0.115421i | ||||
\(699\) | 4.12880 | − | 13.9536i | 0.156166 | − | 0.527772i | ||||
\(700\) | −0.346917 | + | 1.34412i | −0.0131122 | + | 0.0508030i | ||||
\(701\) | −14.2346 | − | 6.85504i | −0.537635 | − | 0.258911i | 0.145304 | − | 0.989387i | \(-0.453584\pi\) |
−0.682939 | + | 0.730476i | \(0.739298\pi\) | |||||||
\(702\) | −29.3319 | + | 3.21989i | −1.10706 | + | 0.121527i | ||||
\(703\) | −7.88634 | + | 1.18867i | −0.297439 | + | 0.0448317i | ||||
\(704\) | −13.2728 | − | 22.9892i | −0.500239 | − | 0.866440i | ||||
\(705\) | 29.7042 | + | 6.42094i | 1.11872 | + | 0.241827i | ||||
\(706\) | 0.118841 | − | 0.302802i | 0.00447264 | − | 0.0113961i | ||||
\(707\) | 22.9079 | + | 30.4480i | 0.861540 | + | 1.14512i | ||||
\(708\) | −1.68593 | − | 0.639381i | −0.0633612 | − | 0.0240294i | ||||
\(709\) | 11.3077 | − | 14.1794i | 0.424669 | − | 0.532518i | −0.522762 | − | 0.852479i | \(-0.675098\pi\) |
0.947431 | + | 0.319961i | \(0.103670\pi\) | |||||||
\(710\) | 34.5638 | − | 23.5652i | 1.29715 | − | 0.884385i | ||||
\(711\) | 3.60245 | − | 0.628122i | 0.135102 | − | 0.0235564i | ||||
\(712\) | 11.4651 | + | 1.72808i | 0.429671 | + | 0.0647625i | ||||
\(713\) | 1.86800 | + | 4.75958i | 0.0699571 | + | 0.178248i | ||||
\(714\) | 14.8924 | + | 8.93249i | 0.557333 | + | 0.334290i | ||||
\(715\) | 17.0815 | − | 43.5229i | 0.638811 | − | 1.62766i | ||||
\(716\) | −0.178858 | + | 0.309792i | −0.00668425 | + | 0.0115775i | ||||
\(717\) | −27.0107 | + | 29.7912i | −1.00873 | + | 1.11257i | ||||
\(718\) | −17.6431 | + | 44.9540i | −0.658436 | + | 1.67767i | ||||
\(719\) | 24.2642 | − | 22.5138i | 0.904900 | − | 0.839625i | −0.0827064 | − | 0.996574i | \(-0.526356\pi\) |
0.987607 | + | 0.156949i | \(0.0501659\pi\) | |||||||
\(720\) | 14.6668 | − | 40.0587i | 0.546600 | − | 1.49290i | ||||
\(721\) | 17.0525 | − | 40.0884i | 0.635069 | − | 1.49297i | ||||
\(722\) | −0.245661 | + | 3.27812i | −0.00914255 | + | 0.121999i | ||||
\(723\) | −33.4505 | − | 2.11983i | −1.24404 | − | 0.0788375i | ||||
\(724\) | −0.627192 | + | 0.302040i | −0.0233094 | + | 0.0112252i | ||||
\(725\) | −5.45855 | − | 23.9154i | −0.202725 | − | 0.888198i | ||||
\(726\) | −1.95788 | − | 1.52482i | −0.0726639 | − | 0.0565914i | ||||
\(727\) | 4.80311 | + | 4.45663i | 0.178137 | + | 0.165287i | 0.764202 | − | 0.644977i | \(-0.223133\pi\) |
−0.586065 | + | 0.810264i | \(0.699324\pi\) | |||||||
\(728\) | −25.6569 | − | 13.2592i | −0.950908 | − | 0.491417i | ||||
\(729\) | 23.4596 | − | 13.3659i | 0.868874 | − | 0.495033i | ||||
\(730\) | −77.3409 | + | 23.8565i | −2.86251 | + | 0.882968i | ||||
\(731\) | −27.8277 | − | 4.19436i | −1.02925 | − | 0.155134i | ||||
\(732\) | 0.432088 | − | 0.0373873i | 0.0159704 | − | 0.00138188i | ||||
\(733\) | 1.86413 | − | 24.8751i | 0.0688531 | − | 0.918781i | −0.850659 | − | 0.525719i | \(-0.823796\pi\) |
0.919512 | − | 0.393063i | \(-0.128584\pi\) | |||||||
\(734\) | −8.72339 | − | 15.1094i | −0.321986 | − | 0.557696i | ||||
\(735\) | −41.5292 | + | 1.24360i | −1.53183 | + | 0.0458709i | ||||
\(736\) | 0.243094 | − | 0.421051i | 0.00896055 | − | 0.0155201i | ||||
\(737\) | −4.06888 | − | 2.77411i | −0.149879 | − | 0.102186i | ||||
\(738\) | −9.01278 | + | 11.8515i | −0.331765 | + | 0.436258i | ||||
\(739\) | 0.276314 | + | 0.704037i | 0.0101644 | + | 0.0258984i | 0.935866 | − | 0.352356i | \(-0.114620\pi\) |
−0.925701 | + | 0.378255i | \(0.876524\pi\) | |||||||
\(740\) | 0.102580 | − | 0.449432i | 0.00377092 | − | 0.0165215i | ||||
\(741\) | −0.362376 | − | 31.4760i | −0.0133122 | − | 1.15630i | ||||
\(742\) | 2.50630 | − | 5.89200i | 0.0920093 | − | 0.216302i | ||||
\(743\) | 18.4757 | − | 5.69901i | 0.677809 | − | 0.209076i | 0.0633097 | − | 0.997994i | \(-0.479834\pi\) |
0.614499 | + | 0.788918i | \(0.289358\pi\) | |||||||
\(744\) | −3.05618 | + | 21.9914i | −0.112045 | + | 0.806242i | ||||
\(745\) | 2.20186 | − | 2.04303i | 0.0806699 | − | 0.0748507i | ||||
\(746\) | 0.985269 | − | 13.1475i | 0.0360733 | − | 0.481364i | ||||
\(747\) | 34.5337 | − | 33.5549i | 1.26352 | − | 1.22771i | ||||
\(748\) | −0.638285 | + | 0.307382i | −0.0233380 | + | 0.0112390i | ||||
\(749\) | 41.6293 | − | 18.6210i | 1.52110 | − | 0.680397i | ||||
\(750\) | −2.05269 | + | 14.7705i | −0.0749535 | + | 0.539343i | ||||
\(751\) | 34.6971 | + | 10.7026i | 1.26611 | + | 0.390545i | 0.853850 | − | 0.520519i | \(-0.174262\pi\) |
0.412265 | + | 0.911064i | \(0.364738\pi\) | |||||||
\(752\) | 13.2470 | + | 16.6112i | 0.483067 | + | 0.605747i | ||||
\(753\) | −7.31791 | − | 22.7893i | −0.266680 | − | 0.830487i | ||||
\(754\) | −20.6591 | −0.752362 | ||||||||
\(755\) | −11.0272 | − | 13.8276i | −0.401319 | − | 0.503239i | ||||
\(756\) | −1.06722 | − | 0.0731663i | −0.0388143 | − | 0.00266103i | ||||
\(757\) | −23.6798 | + | 29.6935i | −0.860657 | + | 1.07923i | 0.135424 | + | 0.990788i | \(0.456760\pi\) |
−0.996081 | + | 0.0884421i | \(0.971811\pi\) | |||||||
\(758\) | 18.7831 | − | 23.5533i | 0.682234 | − | 0.855494i | ||||
\(759\) | −0.912529 | + | 6.56629i | −0.0331227 | + | 0.238341i | ||||
\(760\) | 39.4630 | + | 19.0044i | 1.43147 | + | 0.689361i | ||||
\(761\) | 19.5675 | + | 49.8572i | 0.709322 | + | 1.80732i | 0.578095 | + | 0.815970i | \(0.303796\pi\) |
0.131227 | + | 0.991352i | \(0.458108\pi\) | |||||||
\(762\) | 16.4286 | + | 6.23045i | 0.595145 | + | 0.225705i | ||||
\(763\) | −21.7457 | + | 6.04198i | −0.787246 | + | 0.218734i | ||||
\(764\) | −1.07972 | − | 1.35392i | −0.0390629 | − | 0.0489833i | ||||
\(765\) | 24.6138 | + | 11.1628i | 0.889913 | + | 0.403590i | ||||
\(766\) | −7.91443 | + | 13.7082i | −0.285960 | + | 0.495297i | ||||
\(767\) | −19.2564 | + | 49.0644i | −0.695307 | + | 1.77161i | ||||
\(768\) | 2.77823 | − | 1.64694i | 0.100251 | − | 0.0594290i | ||||
\(769\) | 0.437294 | + | 5.83529i | 0.0157692 | + | 0.210426i | 0.999522 | + | 0.0308999i | \(0.00983731\pi\) |
−0.983753 | + | 0.179526i | \(0.942544\pi\) | |||||||
\(770\) | 23.7262 | − | 38.5437i | 0.855032 | − | 1.38902i | ||||
\(771\) | 13.0868 | − | 3.14591i | 0.471310 | − | 0.113297i | ||||
\(772\) | −1.07645 | − | 1.34982i | −0.0387421 | − | 0.0485811i | ||||
\(773\) | 1.19214 | − | 15.9080i | 0.0428782 | − | 0.572169i | −0.933847 | − | 0.357674i | \(-0.883570\pi\) |
0.976725 | − | 0.214496i | \(-0.0688109\pi\) | |||||||
\(774\) | 43.9086 | − | 14.6593i | 1.57826 | − | 0.526918i | ||||
\(775\) | −2.33128 | − | 31.1088i | −0.0837421 | − | 1.11746i | ||||
\(776\) | −27.7104 | − | 25.7115i | −0.994745 | − | 0.922989i | ||||
\(777\) | 7.90930 | − | 0.460240i | 0.283744 | − | 0.0165110i | ||||
\(778\) | 26.7284 | − | 24.8004i | 0.958261 | − | 0.889136i | ||||
\(779\) | −11.6432 | − | 10.8033i | −0.417161 | − | 0.387068i | ||||
\(780\) | 1.70124 | + | 0.645187i | 0.0609143 | + | 0.0231014i | ||||
\(781\) | −28.0265 | + | 8.64502i | −1.00287 | + | 0.309343i | ||||
\(782\) | 3.46038 | + | 2.35925i | 0.123743 | + | 0.0843664i | ||||
\(783\) | 17.3475 | − | 7.50960i | 0.619950 | − | 0.268371i | ||||
\(784\) | −23.0396 | − | 17.6890i | −0.822844 | − | 0.631751i | ||||
\(785\) | 29.8972 | − | 51.7834i | 1.06708 | − | 1.84823i | ||||
\(786\) | −14.5551 | + | 3.49888i | −0.519164 | + | 0.124801i | ||||
\(787\) | 7.57372 | − | 33.1826i | 0.269974 | − | 1.18283i | −0.640069 | − | 0.768318i | \(-0.721094\pi\) |
0.910042 | − | 0.414515i | \(-0.136049\pi\) | |||||||
\(788\) | 0.471913 | − | 0.591761i | 0.0168112 | − | 0.0210806i | ||||
\(789\) | −8.39235 | − | 12.0099i | −0.298775 | − | 0.427563i | ||||
\(790\) | −5.75356 | − | 1.77474i | −0.204702 | − | 0.0631423i | ||||
\(791\) | −4.46922 | + | 1.99911i | −0.158907 | + | 0.0710801i | ||||
\(792\) | −17.4257 | + | 22.9141i | −0.619195 | + | 0.814218i | ||||
\(793\) | −0.947421 | − | 12.6425i | −0.0336439 | − | 0.448947i | ||||
\(794\) | 5.72315 | − | 5.31030i | 0.203107 | − | 0.188456i | ||||
\(795\) | 2.82741 | − | 9.55543i | 0.100278 | − | 0.338896i | ||||
\(796\) | 0.956078 | − | 0.144106i | 0.0338873 | − | 0.00510768i | ||||
\(797\) | −26.4637 | − | 18.0426i | −0.937391 | − | 0.639103i | −0.00478146 | − | 0.999989i | \(-0.501522\pi\) |
−0.932610 | + | 0.360886i | \(0.882474\pi\) | |||||||
\(798\) | 5.04346 | − | 30.0519i | 0.178537 | − | 1.06383i | ||||
\(799\) | −11.1217 | + | 7.58268i | −0.393459 | + | 0.268256i | ||||
\(800\) | −2.17450 | + | 2.01764i | −0.0768802 | + | 0.0713344i | ||||
\(801\) | −3.07453 | − | 12.1715i | −0.108633 | − | 0.430060i | ||||
\(802\) | −20.7037 | + | 35.8598i | −0.731072 | + | 1.26625i | ||||
\(803\) | 56.7458 | 2.00252 | ||||||||
\(804\) | 0.106125 | − | 0.159574i | 0.00374275 | − | 0.00562773i | ||||
\(805\) | −10.0161 | − | 0.282407i | −0.353020 | − | 0.00995355i | ||||
\(806\) | −25.9793 | − | 3.91575i | −0.915082 | − | 0.137926i | ||||
\(807\) | 14.3337 | − | 11.7032i | 0.504570 | − | 0.411973i | ||||
\(808\) | 2.98200 | + | 39.7920i | 0.104906 | + | 1.39988i | ||||
\(809\) | 20.8664 | − | 14.2265i | 0.733624 | − | 0.500177i | −0.137950 | − | 0.990439i | \(-0.544051\pi\) |
0.871575 | + | 0.490262i | \(0.163099\pi\) | |||||||
\(810\) | −44.4093 | + | 2.04646i | −1.56039 | + | 0.0719052i | ||||
\(811\) | 12.0280 | − | 15.0826i | 0.422360 | − | 0.529623i | −0.524439 | − | 0.851448i | \(-0.675725\pi\) |
0.946799 | + | 0.321825i | \(0.104296\pi\) | |||||||
\(812\) | −0.737127 | − | 0.132450i | −0.0258681 | − | 0.00464810i | ||||
\(813\) | −53.1020 | − | 3.36519i | −1.86237 | − | 0.118022i | ||||
\(814\) | −4.31536 | + | 7.47441i | −0.151253 | + | 0.261978i | ||||
\(815\) | −65.0524 | −2.27869 | ||||||||
\(816\) | 8.39366 | + | 16.9283i | 0.293837 | + | 0.592608i | ||||
\(817\) | 10.9884 | + | 48.1434i | 0.384436 | + | 1.68432i | ||||
\(818\) | 25.7066 | + | 12.3796i | 0.898810 | + | 0.432844i | ||||
\(819\) | −2.49778 | + | 31.1700i | −0.0872794 | + | 1.08917i | ||||
\(820\) | 0.827152 | − | 0.398336i | 0.0288854 | − | 0.0139105i | ||||
\(821\) | −32.1736 | − | 40.3444i | −1.12286 | − | 1.40803i | −0.901469 | − | 0.432844i | \(-0.857510\pi\) |
−0.221396 | − | 0.975184i | \(-0.571061\pi\) | |||||||
\(822\) | 4.18566 | − | 14.1457i | 0.145992 | − | 0.493389i | ||||
\(823\) | 7.92365 | + | 34.7158i | 0.276201 | + | 1.21012i | 0.902554 | + | 0.430576i | \(0.141690\pi\) |
−0.626353 | + | 0.779540i | \(0.715453\pi\) | |||||||
\(824\) | 37.6954 | − | 25.7003i | 1.31318 | − | 0.895312i | ||||
\(825\) | 17.1290 | − | 36.6418i | 0.596354 | − | 1.27570i | ||||
\(826\) | −26.7471 | + | 43.4512i | −0.930650 | + | 1.51186i | ||||
\(827\) | 4.47189 | + | 19.5926i | 0.155503 | + | 0.681303i | 0.991229 | + | 0.132156i | \(0.0421900\pi\) |
−0.835726 | + | 0.549147i | \(0.814953\pi\) | |||||||
\(828\) | −0.255920 | − | 0.0325673i | −0.00889385 | − | 0.00113179i | ||||
\(829\) | 1.29160 | + | 3.29094i | 0.0448591 | + | 0.114299i | 0.951547 | − | 0.307502i | \(-0.0994932\pi\) |
−0.906688 | + | 0.421801i | \(0.861398\pi\) | |||||||
\(830\) | −75.7599 | + | 23.3688i | −2.62966 | + | 0.811144i | ||||
\(831\) | −5.18835 | + | 17.5344i | −0.179982 | + | 0.608261i | ||||
\(832\) | −15.0987 | − | 26.1517i | −0.523452 | − | 0.906646i | ||||
\(833\) | 12.2663 | − | 13.7184i | 0.425004 | − | 0.475315i | ||||
\(834\) | 32.4683 | − | 35.8107i | 1.12429 | − | 1.24002i | ||||
\(835\) | −38.8680 | + | 18.7179i | −1.34508 | + | 0.647758i | ||||
\(836\) | 0.911271 | + | 0.845536i | 0.0315170 | + | 0.0292435i | ||||
\(837\) | 23.2382 | − | 6.15541i | 0.803231 | − | 0.212762i | ||||
\(838\) | −27.3561 | + | 8.43824i | −0.945001 | + | 0.291494i | ||||
\(839\) | 21.3794 | + | 6.59467i | 0.738099 | + | 0.227673i | 0.640935 | − | 0.767595i | \(-0.278547\pi\) |
0.0971637 | + | 0.995268i | \(0.469023\pi\) | |||||||
\(840\) | −37.3136 | − | 22.3808i | −1.28744 | − | 0.772210i | ||||
\(841\) | −15.0651 | + | 4.64697i | −0.519487 | + | 0.160240i | ||||
\(842\) | 19.7491 | − | 13.4647i | 0.680597 | − | 0.464023i | ||||
\(843\) | 0.120515 | + | 10.4680i | 0.00415077 | + | 0.360536i | ||||
\(844\) | −0.297678 | − | 0.202954i | −0.0102465 | − | 0.00698595i | ||||
\(845\) | 3.15584 | − | 8.04096i | 0.108564 | − | 0.276617i | ||||
\(846\) | 10.6264 | − | 19.4250i | 0.365343 | − | 0.667844i | ||||
\(847\) | −1.97741 | + | 1.73366i | −0.0679446 | + | 0.0595693i | ||||
\(848\) | 5.75617 | − | 3.92449i | 0.197668 | − | 0.134768i | ||||
\(849\) | −43.5464 | + | 25.8145i | −1.49451 | + | 0.885951i | ||||
\(850\) | −15.9319 | − | 19.9780i | −0.546461 | − | 0.685240i | ||||
\(851\) | 1.91071 | 0.0654982 | ||||||||
\(852\) | −0.348956 | − | 1.08671i | −0.0119550 | − | 0.0372301i | ||||
\(853\) | −10.1003 | + | 1.52237i | −0.345827 | + | 0.0521251i | −0.319659 | − | 0.947532i | \(-0.603569\pi\) |
−0.0261678 | + | 0.999658i | \(0.508330\pi\) | |||||||
\(854\) | 1.26171 | − | 12.2078i | 0.0431749 | − | 0.417741i | ||||
\(855\) | 2.45432 | − | 47.3609i | 0.0839358 | − | 1.61971i | ||||
\(856\) | 47.2255 | + | 7.11810i | 1.61414 | + | 0.243292i | ||||
\(857\) | 0.541933 | + | 7.23159i | 0.0185121 | + | 0.247027i | 0.998781 | + | 0.0493586i | \(0.0157177\pi\) |
−0.980269 | + | 0.197668i | \(0.936663\pi\) | |||||||
\(858\) | −26.8754 | − | 20.9308i | −0.917510 | − | 0.714567i | ||||
\(859\) | −17.3199 | − | 44.1303i | −0.590946 | − | 1.50571i | −0.842957 | − | 0.537982i | \(-0.819187\pi\) |
0.252010 | − | 0.967725i | \(-0.418908\pi\) | |||||||
\(860\) | −2.82244 | − | 0.425414i | −0.0962444 | − | 0.0145065i | ||||
\(861\) | 10.5375 | + | 11.7435i | 0.359117 | + | 0.400219i | ||||
\(862\) | 2.70425 | − | 0.407599i | 0.0921070 | − | 0.0138829i | ||||
\(863\) | 22.2909 | + | 38.6090i | 0.758792 | + | 1.31427i | 0.943467 | + | 0.331467i | \(0.107543\pi\) |
−0.184675 | + | 0.982800i | \(0.559123\pi\) | |||||||
\(864\) | −1.83532 | − | 1.36266i | −0.0624389 | − | 0.0463587i | ||||
\(865\) | 64.0116 | − | 9.64820i | 2.17646 | − | 0.328049i | ||||
\(866\) | 1.42154 | + | 6.22815i | 0.0483057 | + | 0.211641i | ||||
\(867\) | 16.1915 | − | 6.57079i | 0.549892 | − | 0.223156i | ||||
\(868\) | −0.901847 | − | 0.306275i | −0.0306107 | − | 0.0103956i | ||||
\(869\) | 3.48792 | + | 2.37803i | 0.118320 | + | 0.0806690i | ||||
\(870\) | −31.0625 | − | 1.96850i | −1.05312 | − | 0.0667383i | ||||
\(871\) | −4.62860 | − | 3.15573i | −0.156834 | − | 0.106928i | ||||
\(872\) | −22.5858 | − | 6.96679i | −0.764851 | − | 0.235925i | ||||
\(873\) | −14.0719 | + | 38.4338i | −0.476261 | + | 1.30079i | ||||
\(874\) | 1.63530 | − | 7.16471i | 0.0553148 | − | 0.242350i | ||||
\(875\) | 14.9635 | + | 5.08172i | 0.505858 | + | 0.171793i | ||||
\(876\) | 0.0254217 | + | 2.20813i | 0.000858921 | + | 0.0746058i | ||||
\(877\) | 16.0583 | + | 14.8999i | 0.542251 | + | 0.503135i | 0.903066 | − | 0.429502i | \(-0.141311\pi\) |
−0.360815 | + | 0.932637i | \(0.617501\pi\) | |||||||
\(878\) | −21.0472 | + | 26.3923i | −0.710307 | + | 0.890697i | ||||
\(879\) | 17.7453 | + | 25.3944i | 0.598533 | + | 0.856532i | ||||
\(880\) | 44.3694 | − | 21.3672i | 1.49569 | − | 0.720287i | ||||
\(881\) | 11.1318 | 0.375040 | 0.187520 | − | 0.982261i | \(-0.439955\pi\) | ||||
0.187520 | + | 0.982261i | \(0.439955\pi\) | |||||||
\(882\) | −7.71619 | + | 29.2707i | −0.259818 | + | 0.985596i | ||||
\(883\) | 53.5420 | 1.80183 | 0.900916 | − | 0.433993i | \(-0.142896\pi\) | ||||
0.900916 | + | 0.433993i | \(0.142896\pi\) | |||||||
\(884\) | −0.726088 | + | 0.349665i | −0.0244210 | + | 0.0117605i | ||||
\(885\) | −33.6284 | + | 71.9369i | −1.13040 | + | 2.41813i | ||||
\(886\) | −7.70101 | + | 9.65677i | −0.258721 | + | 0.324425i | ||||
\(887\) | 8.10347 | + | 7.51892i | 0.272088 | + | 0.252461i | 0.804401 | − | 0.594087i | \(-0.202487\pi\) |
−0.532313 | + | 0.846548i | \(0.678677\pi\) | |||||||
\(888\) | 7.23271 | + | 4.06551i | 0.242714 | + | 0.136430i | ||||
\(889\) | 9.76047 | − | 15.8561i | 0.327355 | − | 0.531796i | ||||
\(890\) | −4.59958 | + | 20.1521i | −0.154178 | + | 0.675500i | ||||
\(891\) | 30.1757 | + | 7.80645i | 1.01092 | + | 0.261526i | ||||
\(892\) | −1.37014 | − | 0.422632i | −0.0458756 | − | 0.0141508i | ||||
\(893\) | 19.5156 | + | 13.3055i | 0.653064 | + | 0.445251i | ||||
\(894\) | −0.972151 | − | 1.96063i | −0.0325136 | − | 0.0655732i | ||||
\(895\) | 13.0165 | + | 8.87450i | 0.435094 | + | 0.296642i | ||||
\(896\) | −10.6977 | − | 29.6919i | −0.357384 | − | 0.991937i | ||||
\(897\) | −1.03806 | + | 7.46956i | −0.0346597 | + | 0.249401i | ||||
\(898\) | −3.07181 | − | 13.4585i | −0.102507 | − | 0.449115i | ||||
\(899\) | 16.6426 | − | 2.50847i | 0.555062 | − | 0.0836621i | ||||
\(900\) | 1.43350 | + | 0.650118i | 0.0477835 | + | 0.0216706i | ||||
\(901\) | 2.20688 | + | 3.82243i | 0.0735218 | + | 0.127343i | ||||
\(902\) | −16.9962 | + | 2.56177i | −0.565912 | + | 0.0852975i | ||||
\(903\) | −6.50139 | − | 48.6222i | −0.216353 | − | 1.61805i | ||||
\(904\) | −5.07002 | − | 0.764183i | −0.168626 | − | 0.0254163i | ||||
\(905\) | 11.2005 | + | 28.5385i | 0.372318 | + | 0.948651i | ||||
\(906\) | −11.9400 | + | 4.84545i | −0.396679 | + | 0.160979i | ||||
\(907\) | −1.50252 | − | 20.0498i | −0.0498905 | − | 0.665742i | −0.964952 | − | 0.262427i | \(-0.915477\pi\) |
0.915061 | − | 0.403315i | \(-0.132142\pi\) | |||||||
\(908\) | 1.97763 | + | 0.298080i | 0.0656301 | + | 0.00989215i | ||||
\(909\) | 38.4844 | − | 19.6371i | 1.27645 | − | 0.651323i | ||||
\(910\) | 26.9900 | − | 43.8458i | 0.894709 | − | 1.45347i | ||||
\(911\) | −4.89403 | + | 0.737656i | −0.162146 | + | 0.0244396i | −0.229614 | − | 0.973282i | \(-0.573746\pi\) |
0.0674673 | + | 0.997721i | \(0.478508\pi\) | |||||||
\(912\) | 22.2701 | − | 24.5627i | 0.737438 | − | 0.813351i | ||||
\(913\) | 55.5859 | 1.83962 | ||||||||
\(914\) | −20.7124 | − | 25.9726i | −0.685106 | − | 0.859096i | ||||
\(915\) | −0.219884 | − | 19.0991i | −0.00726913 | − | 0.631396i | ||||
\(916\) | 0.573426 | − | 0.390955i | 0.0189465 | − | 0.0129175i | ||||
\(917\) | 0.739162 | + | 15.8463i | 0.0244093 | + | 0.523291i | ||||
\(918\) | 12.8869 | − | 14.8884i | 0.425330 | − | 0.491390i | ||||
\(919\) | 4.65235 | − | 11.8540i | 0.153467 | − | 0.391027i | −0.833377 | − | 0.552705i | \(-0.813595\pi\) |
0.986844 | + | 0.161678i | \(0.0516907\pi\) | |||||||
\(920\) | −8.67014 | − | 5.91120i | −0.285846 | − | 0.194887i | ||||
\(921\) | 12.2665 | − | 7.27163i | 0.404195 | − | 0.239608i | ||||
\(922\) | −26.2046 | + | 17.8660i | −0.863002 | + | 0.588385i | ||||
\(923\) | −31.8818 | + | 9.83424i | −1.04940 | + | 0.323698i | ||||
\(924\) | −0.824733 | − | 0.919125i | −0.0271317 | − | 0.0302370i | ||||
\(925\) | −11.1398 | − | 3.43619i | −0.366276 | − | 0.112981i | ||||
\(926\) | −33.7621 | + | 10.4142i | −1.10949 | + | 0.342233i | ||||
\(927\) | −41.4440 | − | 26.8796i | −1.36120 | − | 0.882841i | ||||
\(928\) | −1.17317 | − | 1.08854i | −0.0385111 | − | 0.0357331i | ||||
\(929\) | 13.7925 | − | 6.64212i | 0.452517 | − | 0.217921i | −0.193721 | − | 0.981057i | \(-0.562056\pi\) |
0.646238 | + | 0.763136i | \(0.276341\pi\) | |||||||
\(930\) | −38.6886 | − | 8.36302i | −1.26865 | − | 0.274234i | ||||
\(931\) | −30.2716 | − | 11.2417i | −0.992113 | − | 0.368430i | ||||
\(932\) | 0.326859 | + | 0.566136i | 0.0107066 | + | 0.0185444i | ||||
\(933\) | −3.39591 | − | 3.57644i | −0.111177 | − | 0.117088i | ||||
\(934\) | −1.01461 | + | 0.312967i | −0.0331991 | + | 0.0102406i | ||||
\(935\) | 11.3986 | + | 29.0432i | 0.372775 | + | 0.949814i | ||||
\(936\) | −19.8228 | + | 26.0662i | −0.647929 | + | 0.852001i | ||||
\(937\) | −4.75963 | − | 20.8533i | −0.155490 | − | 0.681248i | −0.991233 | − | 0.132126i | \(-0.957819\pi\) |
0.835742 | − | 0.549122i | \(-0.185038\pi\) | |||||||
\(938\) | −3.86980 | − | 3.79916i | −0.126354 | − | 0.124047i | ||||
\(939\) | 4.10885 | − | 0.355527i | 0.134087 | − | 0.0116022i | ||||
\(940\) | −1.12803 | + | 0.769076i | −0.0367922 | + | 0.0250845i | ||||
\(941\) | −6.47346 | − | 28.3621i | −0.211029 | − | 0.924578i | −0.963870 | − | 0.266375i | \(-0.914174\pi\) |
0.752841 | − | 0.658203i | \(-0.228683\pi\) | |||||||
\(942\) | −29.9972 | − | 31.5919i | −0.977360 | − | 1.02932i | ||||
\(943\) | 2.37251 | + | 2.97503i | 0.0772594 | + | 0.0968802i | ||||
\(944\) | −50.0187 | + | 24.0877i | −1.62797 | + | 0.783989i | ||||
\(945\) | −6.72560 | + | 46.6282i | −0.218784 | + | 1.51682i | ||||
\(946\) | 48.1468 | + | 23.1863i | 1.56539 | + | 0.753850i | ||||
\(947\) | 2.36014 | + | 10.3405i | 0.0766944 | + | 0.336020i | 0.998689 | − | 0.0511818i | \(-0.0162988\pi\) |
−0.921995 | + | 0.387202i | \(0.873442\pi\) | |||||||
\(948\) | −0.0909727 | + | 0.136790i | −0.00295466 | + | 0.00444272i | ||||
\(949\) | 64.5519 | 2.09544 | ||||||||
\(950\) | −22.4191 | + | 38.8309i | −0.727370 | + | 1.25984i | ||||
\(951\) | −11.7446 | + | 17.6596i | −0.380845 | + | 0.572651i | ||||
\(952\) | 18.5688 | − | 5.15928i | 0.601817 | − | 0.167213i | ||||
\(953\) | −4.73198 | + | 5.93371i | −0.153284 | + | 0.192212i | −0.852544 | − | 0.522655i | \(-0.824941\pi\) |
0.699260 | + | 0.714867i | \(0.253513\pi\) | |||||||
\(954\) | −6.09124 | − | 3.95064i | −0.197211 | − | 0.127907i | ||||
\(955\) | −63.0139 | + | 42.9621i | −2.03908 | + | 1.39022i | ||||
\(956\) | −0.135003 | − | 1.80149i | −0.00436630 | − | 0.0582642i | ||||
\(957\) | 20.4040 | + | 7.73810i | 0.659567 | + | 0.250137i | ||||
\(958\) | −37.3433 | − | 5.62860i | −1.20651 | − | 0.181852i | ||||
\(959\) | −13.8879 | − | 7.17709i | −0.448464 | − | 0.231760i | ||||
\(960\) | −20.2101 | − | 40.7595i | −0.652277 | − | 1.31551i | ||||
\(961\) | −9.59613 | −0.309553 | ||||||||
\(962\) | −4.90898 | + | 8.50261i | −0.158272 | + | 0.274135i | ||||
\(963\) | −12.6642 | − | 50.1355i | −0.408099 | − | 1.61559i | ||||
\(964\) | 1.10379 | − | 1.02417i | 0.0355508 | − | 0.0329863i | ||||
\(965\) | −62.8228 | + | 42.8319i | −2.02234 | + | 1.37881i | ||||
\(966\) | −2.26785 | + | 6.93918i | −0.0729667 | + | 0.223264i | ||||
\(967\) | −34.4851 | − | 23.5115i | −1.10897 | − | 0.756080i | −0.136852 | − | 0.990591i | \(-0.543699\pi\) |
−0.972113 | + | 0.234512i | \(0.924651\pi\) | |||||||
\(968\) | −2.72327 | + | 0.410467i | −0.0875293 | + | 0.0131929i | ||||
\(969\) | 14.4637 | + | 15.2327i | 0.464643 | + | 0.489345i | ||||
\(970\) | 49.4010 | − | 45.8375i | 1.58617 | − | 1.47175i | ||||
\(971\) | −1.04958 | − | 14.0057i | −0.0336828 | − | 0.449465i | −0.988392 | − | 0.151925i | \(-0.951453\pi\) |
0.954709 | − | 0.297540i | \(-0.0961663\pi\) | |||||||
\(972\) | −0.290251 | + | 1.17771i | −0.00930981 | + | 0.0377751i | ||||
\(973\) | −30.7965 | − | 40.9331i | −0.987289 | − | 1.31225i | ||||
\(974\) | 24.4497 | + | 7.54174i | 0.783420 | + | 0.241653i | ||||
\(975\) | 19.4852 | − | 41.6823i | 0.624027 | − | 1.33490i | ||||
\(976\) | 8.32575 | − | 10.4402i | 0.266501 | − | 0.334181i | ||||
\(977\) | 1.28633 | − | 5.63579i | 0.0411534 | − | 0.180305i | −0.950174 | − | 0.311720i | \(-0.899095\pi\) |
0.991327 | + | 0.131415i | \(0.0419520\pi\) | |||||||
\(978\) | −13.4478 | + | 45.4477i | −0.430013 | + | 1.45326i | ||||
\(979\) | 7.24614 | − | 12.5507i | 0.231588 | − | 0.401121i | ||||
\(980\) | 1.24412 | − | 1.39140i | 0.0397419 | − | 0.0444465i | ||||
\(981\) | 2.49947 | + | 25.4690i | 0.0798018 | + | 0.813163i | ||||
\(982\) | 27.5986 | + | 18.8164i | 0.880706 | + | 0.600455i | ||||
\(983\) | −6.55089 | + | 2.02068i | −0.208941 | + | 0.0644498i | −0.397459 | − | 0.917620i | \(-0.630108\pi\) |
0.188518 | + | 0.982070i | \(0.439632\pi\) | |||||||
\(984\) | 2.65065 | + | 16.3097i | 0.0844997 | + | 0.519933i | ||||
\(985\) | −24.4353 | − | 22.6726i | −0.778572 | − | 0.722409i | ||||
\(986\) | 10.1059 | − | 9.37688i | 0.321837 | − | 0.298621i | ||||
\(987\) | −18.0981 | − | 14.9332i | −0.576068 | − | 0.475327i | ||||
\(988\) | 1.03663 | + | 0.961849i | 0.0329795 | + | 0.0306005i | ||||
\(989\) | −0.884098 | − | 11.7975i | −0.0281127 | − | 0.375138i | ||||
\(990\) | −38.4146 | − | 34.0318i | −1.22090 | − | 1.08160i | ||||
\(991\) | 1.65810 | − | 22.1258i | 0.0526712 | − | 0.702848i | −0.906893 | − | 0.421360i | \(-0.861553\pi\) |
0.959565 | − | 0.281488i | \(-0.0908281\pi\) | |||||||
\(992\) | −1.26896 | − | 1.59122i | −0.0402895 | − | 0.0505214i | ||||
\(993\) | −29.4231 | − | 30.9873i | −0.933713 | − | 0.983353i | ||||
\(994\) | −32.0602 | + | 3.91172i | −1.01689 | + | 0.124072i | ||||
\(995\) | −3.18212 | − | 42.4624i | −0.100880 | − | 1.34615i | ||||
\(996\) | 0.0249021 | + | 2.16299i | 0.000789052 | + | 0.0685371i | ||||
\(997\) | 6.89716 | − | 17.5737i | 0.218435 | − | 0.556564i | −0.779087 | − | 0.626916i | \(-0.784317\pi\) |
0.997522 | + | 0.0703519i | \(0.0224122\pi\) | |||||||
\(998\) | −4.53232 | + | 7.85022i | −0.143468 | + | 0.248494i | ||||
\(999\) | 1.03138 | − | 8.92407i | 0.0326315 | − | 0.282345i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.y.a.151.40 | ✓ | 648 | |
9.4 | even | 3 | 441.2.z.a.4.15 | yes | 648 | ||
49.37 | even | 21 | 441.2.z.a.331.15 | yes | 648 | ||
441.184 | even | 21 | inner | 441.2.y.a.184.40 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.151.40 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.y.a.184.40 | yes | 648 | 441.184 | even | 21 | inner | |
441.2.z.a.4.15 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.331.15 | yes | 648 | 49.37 | even | 21 |