Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 118.3 | ||
Character | \(\chi\) | \(=\) | 605.118 |
Dual form | 605.2.m.c.282.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03195 | + | 0.163444i | 0.729697 | + | 0.115573i | 0.510218 | − | 0.860045i | \(-0.329565\pi\) |
0.219478 | + | 0.975617i | \(0.429565\pi\) | |||||||
\(3\) | −1.27853 | + | 2.50925i | −0.738158 | + | 1.44872i | 0.149764 | + | 0.988722i | \(0.452149\pi\) |
−0.887922 | + | 0.459994i | \(0.847851\pi\) | |||||||
\(4\) | −0.863913 | − | 0.280702i | −0.431956 | − | 0.140351i | ||||
\(5\) | 0.639384 | − | 2.14271i | 0.285941 | − | 0.958247i | ||||
\(6\) | −1.72949 | + | 2.38044i | −0.706063 | + | 0.971812i | ||||
\(7\) | −0.489900 | + | 0.249616i | −0.185165 | + | 0.0943461i | −0.544115 | − | 0.839010i | \(-0.683135\pi\) |
0.358951 | + | 0.933357i | \(0.383135\pi\) | |||||||
\(8\) | −2.70750 | − | 1.37954i | −0.957245 | − | 0.487741i | ||||
\(9\) | −2.89835 | − | 3.98923i | −0.966116 | − | 1.32974i | ||||
\(10\) | 1.01002 | − | 2.10665i | 0.319398 | − | 0.666183i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.80889 | − | 1.80889i | 0.522181 | − | 0.522181i | ||||
\(13\) | 0.507565 | − | 3.20464i | 0.140773 | − | 0.888808i | −0.811675 | − | 0.584109i | \(-0.801444\pi\) |
0.952449 | − | 0.304699i | \(-0.0985559\pi\) | |||||||
\(14\) | −0.546349 | + | 0.177519i | −0.146018 | + | 0.0474441i | ||||
\(15\) | 4.55911 | + | 4.34388i | 1.17716 | + | 1.12159i | ||||
\(16\) | −1.09874 | − | 0.798281i | −0.274685 | − | 0.199570i | ||||
\(17\) | −0.885832 | − | 5.59292i | −0.214846 | − | 1.35648i | −0.825418 | − | 0.564523i | \(-0.809060\pi\) |
0.610572 | − | 0.791961i | \(-0.290940\pi\) | |||||||
\(18\) | −2.33892 | − | 4.59040i | −0.551290 | − | 1.08197i | ||||
\(19\) | 0.480992 | + | 1.48034i | 0.110347 | + | 0.339614i | 0.990948 | − | 0.134245i | \(-0.0428608\pi\) |
−0.880601 | + | 0.473859i | \(0.842861\pi\) | |||||||
\(20\) | −1.15383 | + | 1.67163i | −0.258005 | + | 0.373789i | ||||
\(21\) | − | 1.54842i | − | 0.337893i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.803543 | − | 0.803543i | −0.167550 | − | 0.167550i | 0.618351 | − | 0.785902i | \(-0.287801\pi\) |
−0.785902 | + | 0.618351i | \(0.787801\pi\) | |||||||
\(24\) | 6.92322 | − | 5.03001i | 1.41320 | − | 1.02675i | ||||
\(25\) | −4.18238 | − | 2.74002i | −0.836475 | − | 0.548005i | ||||
\(26\) | 1.04756 | − | 3.22406i | 0.205444 | − | 0.632290i | ||||
\(27\) | 5.37102 | − | 0.850687i | 1.03365 | − | 0.163715i | ||||
\(28\) | 0.493299 | − | 0.0781308i | 0.0932247 | − | 0.0147653i | ||||
\(29\) | 1.31542 | − | 4.04843i | 0.244267 | − | 0.751775i | −0.751490 | − | 0.659745i | \(-0.770664\pi\) |
0.995756 | − | 0.0920302i | \(-0.0293356\pi\) | |||||||
\(30\) | 3.99478 | + | 5.22782i | 0.729344 | + | 0.954464i | ||||
\(31\) | 1.33313 | − | 0.968573i | 0.239437 | − | 0.173961i | −0.461596 | − | 0.887090i | \(-0.652723\pi\) |
0.701032 | + | 0.713130i | \(0.252723\pi\) | |||||||
\(32\) | 3.29400 | + | 3.29400i | 0.582302 | + | 0.582302i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 5.91638i | − | 1.01465i | ||||||
\(35\) | 0.221620 | + | 1.20931i | 0.0374607 | + | 0.204411i | ||||
\(36\) | 1.38413 | + | 4.25992i | 0.230689 | + | 0.709987i | ||||
\(37\) | −0.434424 | − | 0.852606i | −0.0714189 | − | 0.140168i | 0.852536 | − | 0.522668i | \(-0.175063\pi\) |
−0.923955 | + | 0.382500i | \(0.875063\pi\) | |||||||
\(38\) | 0.254405 | + | 1.60625i | 0.0412699 | + | 0.260568i | ||||
\(39\) | 7.39231 | + | 5.37083i | 1.18372 | + | 0.860021i | ||||
\(40\) | −4.68708 | + | 4.91932i | −0.741092 | + | 0.777812i | ||||
\(41\) | 8.50874 | − | 2.76466i | 1.32884 | − | 0.431767i | 0.443320 | − | 0.896364i | \(-0.353801\pi\) |
0.885522 | + | 0.464597i | \(0.153801\pi\) | |||||||
\(42\) | 0.253081 | − | 1.59789i | 0.0390512 | − | 0.246560i | ||||
\(43\) | −2.55312 | + | 2.55312i | −0.389348 | + | 0.389348i | −0.874455 | − | 0.485107i | \(-0.838781\pi\) |
0.485107 | + | 0.874455i | \(0.338781\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −10.4009 | + | 3.65965i | −1.55048 | + | 0.545549i | ||||
\(46\) | −0.697879 | − | 0.960548i | −0.102897 | − | 0.141625i | ||||
\(47\) | −3.62794 | − | 1.84853i | −0.529190 | − | 0.269636i | 0.168916 | − | 0.985630i | \(-0.445973\pi\) |
−0.698105 | + | 0.715995i | \(0.745973\pi\) | |||||||
\(48\) | 3.40786 | − | 1.73639i | 0.491882 | − | 0.250626i | ||||
\(49\) | −3.93680 | + | 5.41855i | −0.562400 | + | 0.774078i | ||||
\(50\) | −3.86815 | − | 3.51115i | −0.547039 | − | 0.496551i | ||||
\(51\) | 15.1666 | + | 4.92793i | 2.12375 | + | 0.690048i | ||||
\(52\) | −1.33804 | + | 2.62606i | −0.185553 | + | 0.364169i | ||||
\(53\) | −6.95794 | − | 1.10203i | −0.955747 | − | 0.151375i | −0.340968 | − | 0.940075i | \(-0.610755\pi\) |
−0.614779 | + | 0.788700i | \(0.710755\pi\) | |||||||
\(54\) | 5.68165 | 0.773175 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.67076 | 0.223264 | ||||||||
\(57\) | −4.32951 | − | 0.685727i | −0.573458 | − | 0.0908268i | ||||
\(58\) | 2.01913 | − | 3.96277i | 0.265125 | − | 0.520337i | ||||
\(59\) | −6.43589 | − | 2.09115i | −0.837882 | − | 0.272244i | −0.141520 | − | 0.989935i | \(-0.545199\pi\) |
−0.696362 | + | 0.717691i | \(0.745199\pi\) | |||||||
\(60\) | −2.71934 | − | 5.03249i | −0.351065 | − | 0.649691i | ||||
\(61\) | 5.40829 | − | 7.44388i | 0.692461 | − | 0.953091i | −0.307538 | − | 0.951536i | \(-0.599505\pi\) |
0.999999 | − | 0.00155512i | \(-0.000495009\pi\) | |||||||
\(62\) | 1.53402 | − | 0.781624i | 0.194821 | − | 0.0992663i | ||||
\(63\) | 2.41568 | + | 1.23085i | 0.304347 | + | 0.155072i | ||||
\(64\) | 4.45741 | + | 6.13510i | 0.557176 | + | 0.766887i | ||||
\(65\) | −6.54208 | − | 3.13656i | −0.811445 | − | 0.389043i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.62254 | + | 2.62254i | −0.320394 | + | 0.320394i | −0.848918 | − | 0.528524i | \(-0.822746\pi\) |
0.528524 | + | 0.848918i | \(0.322746\pi\) | |||||||
\(68\) | −0.804665 | + | 5.08045i | −0.0975800 | + | 0.616096i | ||||
\(69\) | 3.04364 | − | 0.988939i | 0.366411 | − | 0.119054i | ||||
\(70\) | 0.0310452 | + | 1.28417i | 0.00371061 | + | 0.153487i | ||||
\(71\) | −5.54504 | − | 4.02871i | −0.658075 | − | 0.478119i | 0.207937 | − | 0.978142i | \(-0.433325\pi\) |
−0.866012 | + | 0.500023i | \(0.833325\pi\) | |||||||
\(72\) | 2.34397 | + | 14.7992i | 0.276239 | + | 1.74411i | ||||
\(73\) | −4.58060 | − | 8.98993i | −0.536118 | − | 1.05219i | −0.987167 | − | 0.159692i | \(-0.948950\pi\) |
0.451048 | − | 0.892499i | \(-0.351050\pi\) | |||||||
\(74\) | −0.308949 | − | 0.950848i | −0.0359146 | − | 0.110534i | ||||
\(75\) | 12.2227 | − | 6.99143i | 1.41135 | − | 0.807301i | ||||
\(76\) | − | 1.41390i | − | 0.162186i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 6.75064 | + | 6.75064i | 0.764360 | + | 0.764360i | ||||
\(79\) | 3.37063 | − | 2.44890i | 0.379225 | − | 0.275523i | −0.381801 | − | 0.924245i | \(-0.624696\pi\) |
0.761026 | + | 0.648721i | \(0.224696\pi\) | |||||||
\(80\) | −2.41300 | + | 1.84387i | −0.269781 | + | 0.206151i | ||||
\(81\) | −0.161157 | + | 0.495991i | −0.0179064 | + | 0.0551101i | ||||
\(82\) | 9.23244 | − | 1.46227i | 1.01955 | − | 0.161481i | ||||
\(83\) | −11.1901 | + | 1.77233i | −1.22827 | + | 0.194539i | −0.736652 | − | 0.676272i | \(-0.763595\pi\) |
−0.491619 | + | 0.870811i | \(0.663595\pi\) | |||||||
\(84\) | −0.434646 | + | 1.33770i | −0.0474237 | + | 0.145955i | ||||
\(85\) | −12.5504 | − | 1.67795i | −1.36128 | − | 0.181999i | ||||
\(86\) | −3.05198 | + | 2.21739i | −0.329104 | + | 0.239108i | ||||
\(87\) | 8.47673 | + | 8.47673i | 0.908801 | + | 0.908801i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.64860i | 0.386750i | 0.981125 | + | 0.193375i | \(0.0619435\pi\) | ||||
−0.981125 | + | 0.193375i | \(0.938057\pi\) | |||||||
\(90\) | −11.3313 | + | 2.07660i | −1.19443 | + | 0.218893i | ||||
\(91\) | 0.551275 | + | 1.69665i | 0.0577893 | + | 0.177857i | ||||
\(92\) | 0.468635 | + | 0.919747i | 0.0488586 | + | 0.0958903i | ||||
\(93\) | 0.725954 | + | 4.58349i | 0.0752779 | + | 0.475286i | ||||
\(94\) | −3.44171 | − | 2.50055i | −0.354985 | − | 0.257912i | ||||
\(95\) | 3.47948 | − | 0.0841175i | 0.356987 | − | 0.00863027i | ||||
\(96\) | −12.4769 | + | 4.05400i | −1.27342 | + | 0.413760i | ||||
\(97\) | −2.60749 | + | 16.4630i | −0.264750 | + | 1.67157i | 0.393927 | + | 0.919142i | \(0.371116\pi\) |
−0.658677 | + | 0.752426i | \(0.728884\pi\) | |||||||
\(98\) | −4.94820 | + | 4.94820i | −0.499844 | + | 0.499844i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.84408 | + | 3.54115i | 0.284408 | + | 0.354115i | ||||
\(101\) | 0.376293 | + | 0.517923i | 0.0374426 | + | 0.0515353i | 0.827328 | − | 0.561719i | \(-0.189860\pi\) |
−0.789885 | + | 0.613255i | \(0.789860\pi\) | |||||||
\(102\) | 14.8457 | + | 7.56425i | 1.46994 | + | 0.748973i | ||||
\(103\) | 1.84085 | − | 0.937960i | 0.181384 | − | 0.0924199i | −0.360940 | − | 0.932589i | \(-0.617544\pi\) |
0.542325 | + | 0.840169i | \(0.317544\pi\) | |||||||
\(104\) | −5.79516 | + | 7.97636i | −0.568262 | + | 0.782146i | ||||
\(105\) | −3.31781 | − | 0.990036i | −0.323785 | − | 0.0966177i | ||||
\(106\) | −7.00011 | − | 2.27447i | −0.679910 | − | 0.220916i | ||||
\(107\) | 4.05774 | − | 7.96376i | 0.392276 | − | 0.769886i | −0.607424 | − | 0.794378i | \(-0.707797\pi\) |
0.999700 | + | 0.0244924i | \(0.00779695\pi\) | |||||||
\(108\) | −4.87889 | − | 0.772740i | −0.469471 | − | 0.0743569i | ||||
\(109\) | 4.48044 | 0.429148 | 0.214574 | − | 0.976708i | \(-0.431164\pi\) | ||||
0.214574 | + | 0.976708i | \(0.431164\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.69482 | 0.255781 | ||||||||
\(112\) | 0.737536 | + | 0.116814i | 0.0696906 | + | 0.0110379i | ||||
\(113\) | −0.651813 | + | 1.27925i | −0.0613174 | + | 0.120342i | −0.919631 | − | 0.392783i | \(-0.871512\pi\) |
0.858314 | + | 0.513125i | \(0.171512\pi\) | |||||||
\(114\) | −4.35575 | − | 1.41527i | −0.407953 | − | 0.132552i | ||||
\(115\) | −2.23553 | + | 1.20798i | −0.208464 | + | 0.112645i | ||||
\(116\) | −2.27281 | + | 3.12825i | −0.211025 | + | 0.290451i | ||||
\(117\) | −14.2552 | + | 7.26337i | −1.31789 | + | 0.671499i | ||||
\(118\) | −6.29971 | − | 3.20986i | −0.579935 | − | 0.295492i | ||||
\(119\) | 1.83005 | + | 2.51885i | 0.167761 | + | 0.230903i | ||||
\(120\) | −6.35124 | − | 18.0505i | −0.579786 | − | 1.64778i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 6.79773 | − | 6.79773i | 0.615438 | − | 0.615438i | ||||
\(123\) | −3.94144 | + | 24.8852i | −0.355387 | + | 2.24383i | ||||
\(124\) | −1.42359 | + | 0.462551i | −0.127842 | + | 0.0415383i | ||||
\(125\) | −8.54521 | + | 7.20967i | −0.764307 | + | 0.644853i | ||||
\(126\) | 2.29168 | + | 1.66500i | 0.204159 | + | 0.148330i | ||||
\(127\) | −1.84965 | − | 11.6782i | −0.164130 | − | 1.03628i | −0.922934 | − | 0.384957i | \(-0.874216\pi\) |
0.758804 | − | 0.651318i | \(-0.225784\pi\) | |||||||
\(128\) | −0.632693 | − | 1.24173i | −0.0559227 | − | 0.109754i | ||||
\(129\) | −3.14219 | − | 9.67066i | −0.276654 | − | 0.851454i | ||||
\(130\) | −6.23842 | − | 4.30603i | −0.547146 | − | 0.377664i | ||||
\(131\) | − | 7.94436i | − | 0.694102i | −0.937846 | − | 0.347051i | \(-0.887183\pi\) | ||
0.937846 | − | 0.347051i | \(-0.112817\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.605156 | − | 0.605156i | −0.0524737 | − | 0.0524737i | ||||
\(134\) | −3.13496 | + | 2.27768i | −0.270819 | + | 0.196762i | ||||
\(135\) | 1.61138 | − | 12.0524i | 0.138685 | − | 1.03731i | ||||
\(136\) | −5.31727 | + | 16.3649i | −0.455952 | + | 1.40328i | ||||
\(137\) | −4.41978 | + | 0.700024i | −0.377607 | + | 0.0598071i | −0.342353 | − | 0.939571i | \(-0.611224\pi\) |
−0.0352537 | + | 0.999378i | \(0.511224\pi\) | |||||||
\(138\) | 3.30251 | − | 0.523067i | 0.281128 | − | 0.0445264i | ||||
\(139\) | −6.98877 | + | 21.5092i | −0.592779 | + | 1.82439i | −0.0272966 | + | 0.999627i | \(0.508690\pi\) |
−0.565483 | + | 0.824760i | \(0.691310\pi\) | |||||||
\(140\) | 0.147996 | − | 1.10695i | 0.0125079 | − | 0.0935543i | ||||
\(141\) | 9.27684 | − | 6.74002i | 0.781251 | − | 0.567612i | ||||
\(142\) | −5.06371 | − | 5.06371i | −0.424937 | − | 0.424937i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.69683i | 0.558069i | ||||||||
\(145\) | −7.83354 | − | 5.40705i | −0.650540 | − | 0.449031i | ||||
\(146\) | −3.25758 | − | 10.0258i | −0.269599 | − | 0.829741i | ||||
\(147\) | −8.56317 | − | 16.8062i | −0.706279 | − | 1.38615i | ||||
\(148\) | 0.135976 | + | 0.858521i | 0.0111772 | + | 0.0705700i | ||||
\(149\) | 11.9616 | + | 8.69061i | 0.979932 | + | 0.711962i | 0.957693 | − | 0.287790i | \(-0.0929206\pi\) |
0.0222386 | + | 0.999753i | \(0.492921\pi\) | |||||||
\(150\) | 13.7559 | − | 5.21706i | 1.12316 | − | 0.425971i | ||||
\(151\) | 6.32007 | − | 2.05352i | 0.514320 | − | 0.167113i | −0.0403460 | − | 0.999186i | \(-0.512846\pi\) |
0.554666 | + | 0.832073i | \(0.312846\pi\) | |||||||
\(152\) | 0.739904 | − | 4.67157i | 0.0600142 | − | 0.378915i | ||||
\(153\) | −19.7440 | + | 19.7440i | −1.59621 | + | 1.59621i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.22299 | − | 3.47579i | −0.0982327 | − | 0.279182i | ||||
\(156\) | −4.87871 | − | 6.71497i | −0.390609 | − | 0.537628i | ||||
\(157\) | −1.43837 | − | 0.732887i | −0.114795 | − | 0.0584908i | 0.395650 | − | 0.918401i | \(-0.370519\pi\) |
−0.510445 | + | 0.859911i | \(0.670519\pi\) | |||||||
\(158\) | 3.87857 | − | 1.97623i | 0.308562 | − | 0.157220i | ||||
\(159\) | 11.6612 | − | 16.0502i | 0.924792 | − | 1.27287i | ||||
\(160\) | 9.16420 | − | 4.95194i | 0.724494 | − | 0.391485i | ||||
\(161\) | 0.594233 | + | 0.193078i | 0.0468321 | + | 0.0152167i | ||||
\(162\) | −0.247373 | + | 0.485496i | −0.0194354 | + | 0.0381442i | ||||
\(163\) | 10.0048 | + | 1.58461i | 0.783638 | + | 0.124116i | 0.535418 | − | 0.844587i | \(-0.320154\pi\) |
0.248221 | + | 0.968704i | \(0.420154\pi\) | |||||||
\(164\) | −8.12686 | −0.634601 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.8372 | −0.918749 | ||||||||
\(167\) | 14.1417 | + | 2.23982i | 1.09431 | + | 0.173322i | 0.677394 | − | 0.735621i | \(-0.263109\pi\) |
0.416921 | + | 0.908943i | \(0.363109\pi\) | |||||||
\(168\) | −2.13611 | + | 4.19235i | −0.164804 | + | 0.323447i | ||||
\(169\) | 2.35163 | + | 0.764090i | 0.180894 | + | 0.0587761i | ||||
\(170\) | −12.6771 | − | 3.78284i | −0.972287 | − | 0.290131i | ||||
\(171\) | 4.51135 | − | 6.20934i | 0.344991 | − | 0.474840i | ||||
\(172\) | 2.92234 | − | 1.48901i | 0.222827 | − | 0.113536i | ||||
\(173\) | 14.7633 | + | 7.52226i | 1.12243 | + | 0.571907i | 0.913831 | − | 0.406094i | \(-0.133110\pi\) |
0.208599 | + | 0.978001i | \(0.433110\pi\) | |||||||
\(174\) | 7.36207 | + | 10.1330i | 0.558117 | + | 0.768182i | ||||
\(175\) | 2.73290 | + | 0.298348i | 0.206588 | + | 0.0225530i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.4757 | − | 13.4757i | 1.01289 | − | 1.01289i | ||||
\(178\) | −0.596342 | + | 3.76516i | −0.0446977 | + | 0.282210i | ||||
\(179\) | 19.0082 | − | 6.17614i | 1.42074 | − | 0.461627i | 0.504903 | − | 0.863176i | \(-0.331528\pi\) |
0.915837 | + | 0.401549i | \(0.131528\pi\) | |||||||
\(180\) | 10.0128 | − | 0.242062i | 0.746307 | − | 0.0180422i | ||||
\(181\) | 21.7421 | + | 15.7966i | 1.61608 | + | 1.17415i | 0.836918 | + | 0.547328i | \(0.184355\pi\) |
0.779162 | + | 0.626823i | \(0.215645\pi\) | |||||||
\(182\) | 0.291579 | + | 1.84095i | 0.0216132 | + | 0.136461i | ||||
\(183\) | 11.7639 | + | 23.0880i | 0.869613 | + | 1.70671i | ||||
\(184\) | 1.06707 | + | 3.28411i | 0.0786656 | + | 0.242108i | ||||
\(185\) | −2.10465 | + | 0.385701i | −0.154737 | + | 0.0283573i | ||||
\(186\) | 4.84857i | 0.355515i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.61534 | + | 2.61534i | 0.190743 | + | 0.190743i | ||||
\(189\) | −2.41892 | + | 1.75745i | −0.175950 | + | 0.127835i | ||||
\(190\) | 3.60438 | + | 0.481896i | 0.261490 | + | 0.0349604i | ||||
\(191\) | 3.99885 | − | 12.3072i | 0.289346 | − | 0.890517i | −0.695716 | − | 0.718317i | \(-0.744913\pi\) |
0.985062 | − | 0.172200i | \(-0.0550874\pi\) | |||||||
\(192\) | −21.0934 | + | 3.34087i | −1.52229 | + | 0.241106i | ||||
\(193\) | −7.40559 | + | 1.17293i | −0.533066 | + | 0.0844294i | −0.417164 | − | 0.908831i | \(-0.636976\pi\) |
−0.115902 | + | 0.993261i | \(0.536976\pi\) | |||||||
\(194\) | −5.38158 | + | 16.5628i | −0.386375 | + | 1.18914i | ||||
\(195\) | 16.2346 | − | 12.4055i | 1.16259 | − | 0.888378i | ||||
\(196\) | 4.92205 | − | 3.57608i | 0.351575 | − | 0.255434i | ||||
\(197\) | 2.73095 | + | 2.73095i | 0.194572 | + | 0.194572i | 0.797668 | − | 0.603096i | \(-0.206067\pi\) |
−0.603096 | + | 0.797668i | \(0.706067\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 12.3835i | − | 0.877842i | −0.898526 | − | 0.438921i | \(-0.855361\pi\) | ||
0.898526 | − | 0.438921i | \(-0.144639\pi\) | |||||||
\(200\) | 7.54380 | + | 13.1884i | 0.533427 | + | 0.932558i | ||||
\(201\) | −3.22762 | − | 9.93359i | −0.227659 | − | 0.700662i | ||||
\(202\) | 0.303663 | + | 0.595972i | 0.0213657 | + | 0.0419325i | ||||
\(203\) | 0.366133 | + | 2.31167i | 0.0256975 | + | 0.162248i | ||||
\(204\) | −11.7193 | − | 8.51460i | −0.820518 | − | 0.596141i | ||||
\(205\) | −0.483492 | − | 19.9994i | −0.0337686 | − | 1.39682i | ||||
\(206\) | 2.05296 | − | 0.667048i | 0.143037 | − | 0.0464754i | ||||
\(207\) | −0.876574 | + | 5.53447i | −0.0609261 | + | 0.384672i | ||||
\(208\) | −3.11589 | + | 3.11589i | −0.216048 | + | 0.216048i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.26199 | − | 1.56394i | −0.225099 | − | 0.107922i | ||||
\(211\) | −7.96838 | − | 10.9675i | −0.548566 | − | 0.755037i | 0.441251 | − | 0.897384i | \(-0.354535\pi\) |
−0.989817 | + | 0.142347i | \(0.954535\pi\) | |||||||
\(212\) | 5.70171 | + | 2.90517i | 0.391595 | + | 0.199528i | ||||
\(213\) | 17.1985 | − | 8.76308i | 1.17842 | − | 0.600436i | ||||
\(214\) | 5.48900 | − | 7.55496i | 0.375220 | − | 0.516447i | ||||
\(215\) | 3.83817 | + | 7.10302i | 0.261761 | + | 0.484422i | ||||
\(216\) | −15.7156 | − | 5.10631i | −1.06931 | − | 0.347440i | ||||
\(217\) | −0.411327 | + | 0.807274i | −0.0279227 | + | 0.0548013i | ||||
\(218\) | 4.62357 | + | 0.732302i | 0.313148 | + | 0.0495978i | ||||
\(219\) | 28.4144 | 1.92007 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.3729 | −1.23590 | ||||||||
\(222\) | 2.78092 | + | 0.440454i | 0.186643 | + | 0.0295613i | ||||
\(223\) | −2.37911 | + | 4.66927i | −0.159317 | + | 0.312677i | −0.956842 | − | 0.290609i | \(-0.906142\pi\) |
0.797525 | + | 0.603286i | \(0.206142\pi\) | |||||||
\(224\) | −2.43596 | − | 0.791493i | −0.162760 | − | 0.0528839i | ||||
\(225\) | 1.19138 | + | 24.6260i | 0.0794254 | + | 1.64173i | ||||
\(226\) | −0.881723 | + | 1.21359i | −0.0586513 | + | 0.0807267i | ||||
\(227\) | 13.4284 | − | 6.84211i | 0.891274 | − | 0.454127i | 0.0525088 | − | 0.998620i | \(-0.483278\pi\) |
0.838765 | + | 0.544494i | \(0.183278\pi\) | |||||||
\(228\) | 3.54783 | + | 1.80771i | 0.234961 | + | 0.119719i | ||||
\(229\) | −8.73876 | − | 12.0279i | −0.577473 | − | 0.794824i | 0.415942 | − | 0.909391i | \(-0.363452\pi\) |
−0.993415 | + | 0.114567i | \(0.963452\pi\) | |||||||
\(230\) | −2.50438 | + | 0.881190i | −0.165134 | + | 0.0581040i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.14646 | + | 9.14646i | −0.600494 | + | 0.600494i | ||||
\(233\) | 0.866494 | − | 5.47083i | 0.0567659 | − | 0.358406i | −0.942912 | − | 0.333041i | \(-0.891925\pi\) |
0.999678 | − | 0.0253648i | \(-0.00807473\pi\) | |||||||
\(234\) | −15.8977 | + | 5.16549i | −1.03927 | + | 0.337678i | ||||
\(235\) | −6.28050 | + | 6.59169i | −0.409695 | + | 0.429994i | ||||
\(236\) | 4.97306 | + | 3.61314i | 0.323719 | + | 0.235195i | ||||
\(237\) | 1.83547 | + | 11.5887i | 0.119227 | + | 0.752769i | ||||
\(238\) | 1.47683 | + | 2.89843i | 0.0957284 | + | 0.187878i | ||||
\(239\) | 7.63873 | + | 23.5096i | 0.494108 | + | 1.52071i | 0.818342 | + | 0.574732i | \(0.194894\pi\) |
−0.324234 | + | 0.945977i | \(0.605106\pi\) | |||||||
\(240\) | −1.54164 | − | 8.41225i | −0.0995125 | − | 0.543008i | ||||
\(241\) | − | 5.19700i | − | 0.334768i | −0.985892 | − | 0.167384i | \(-0.946468\pi\) | ||
0.985892 | − | 0.167384i | \(-0.0535320\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.4972 | + | 10.4972i | 0.673394 | + | 0.673394i | ||||
\(244\) | −6.76181 | + | 4.91274i | −0.432881 | + | 0.314506i | ||||
\(245\) | 9.09322 | + | 11.8999i | 0.580944 | + | 0.760260i | ||||
\(246\) | −8.13470 | + | 25.0360i | −0.518650 | + | 1.59624i | ||||
\(247\) | 4.98810 | − | 0.790038i | 0.317385 | − | 0.0502689i | ||||
\(248\) | −4.94562 | + | 0.783310i | −0.314047 | + | 0.0497402i | ||||
\(249\) | 9.85959 | − | 30.3447i | 0.624826 | − | 1.92302i | ||||
\(250\) | −9.99658 | + | 6.04333i | −0.632239 | + | 0.382214i | ||||
\(251\) | −10.1019 | + | 7.33949i | −0.637629 | + | 0.463264i | −0.859035 | − | 0.511917i | \(-0.828935\pi\) |
0.221406 | + | 0.975182i | \(0.428935\pi\) | |||||||
\(252\) | −1.74143 | − | 1.74143i | −0.109700 | − | 0.109700i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 12.3536i | − | 0.775136i | ||||||
\(255\) | 20.2564 | − | 29.3467i | 1.26850 | − | 1.83776i | ||||
\(256\) | −5.13675 | − | 15.8093i | −0.321047 | − | 0.988080i | ||||
\(257\) | 5.79079 | + | 11.3651i | 0.361220 | + | 0.708933i | 0.998073 | − | 0.0620515i | \(-0.0197643\pi\) |
−0.636853 | + | 0.770985i | \(0.719764\pi\) | |||||||
\(258\) | −1.66196 | − | 10.4932i | −0.103469 | − | 0.653277i | ||||
\(259\) | 0.425649 | + | 0.309252i | 0.0264485 | + | 0.0192160i | ||||
\(260\) | 4.77134 | + | 4.54609i | 0.295906 | + | 0.281937i | ||||
\(261\) | −19.9627 | + | 6.48627i | −1.23566 | + | 0.401490i | ||||
\(262\) | 1.29846 | − | 8.19815i | 0.0802191 | − | 0.506484i | ||||
\(263\) | 13.6161 | − | 13.6161i | 0.839605 | − | 0.839605i | −0.149202 | − | 0.988807i | \(-0.547670\pi\) |
0.988807 | + | 0.149202i | \(0.0476703\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.81012 | + | 14.2042i | −0.418343 | + | 0.872557i | ||||
\(266\) | −0.525579 | − | 0.723398i | −0.0322253 | − | 0.0443544i | ||||
\(267\) | −9.15524 | − | 4.66483i | −0.560291 | − | 0.285483i | ||||
\(268\) | 3.00180 | − | 1.52949i | 0.183364 | − | 0.0934286i | ||||
\(269\) | 10.2251 | − | 14.0736i | 0.623436 | − | 0.858086i | −0.374162 | − | 0.927363i | \(-0.622070\pi\) |
0.997597 | + | 0.0692779i | \(0.0220695\pi\) | |||||||
\(270\) | 3.63276 | − | 12.1741i | 0.221083 | − | 0.740893i | ||||
\(271\) | −30.2175 | − | 9.81827i | −1.83558 | − | 0.596417i | −0.998805 | − | 0.0488774i | \(-0.984436\pi\) |
−0.836779 | − | 0.547540i | \(-0.815564\pi\) | |||||||
\(272\) | −3.49143 | + | 6.85231i | −0.211699 | + | 0.415482i | ||||
\(273\) | −4.96214 | − | 0.785925i | −0.300322 | − | 0.0475664i | ||||
\(274\) | −4.67539 | −0.282451 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.90704 | −0.174983 | ||||||||
\(277\) | −7.17028 | − | 1.13566i | −0.430820 | − | 0.0682352i | −0.0627414 | − | 0.998030i | \(-0.519984\pi\) |
−0.368079 | + | 0.929795i | \(0.619984\pi\) | |||||||
\(278\) | −10.7276 | + | 21.0541i | −0.643398 | + | 1.26274i | ||||
\(279\) | −7.72773 | − | 2.51089i | −0.462647 | − | 0.150323i | ||||
\(280\) | 1.06826 | − | 3.57994i | 0.0638405 | − | 0.213942i | ||||
\(281\) | 3.25890 | − | 4.48549i | 0.194410 | − | 0.267582i | −0.700673 | − | 0.713483i | \(-0.747117\pi\) |
0.895082 | + | 0.445901i | \(0.147117\pi\) | |||||||
\(282\) | 10.6748 | − | 5.43909i | 0.635676 | − | 0.323893i | ||||
\(283\) | −12.3141 | − | 6.27435i | −0.731997 | − | 0.372971i | 0.0479222 | − | 0.998851i | \(-0.484740\pi\) |
−0.779920 | + | 0.625880i | \(0.784740\pi\) | |||||||
\(284\) | 3.65956 | + | 5.03696i | 0.217155 | + | 0.298888i | ||||
\(285\) | −4.23753 | + | 8.83842i | −0.251010 | + | 0.523543i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.47833 | + | 3.47833i | −0.205319 | + | 0.205319i | ||||
\(288\) | 3.59338 | − | 22.6877i | 0.211742 | − | 1.33688i | ||||
\(289\) | −14.3281 | + | 4.65550i | −0.842832 | + | 0.273853i | ||||
\(290\) | −7.20005 | − | 6.86014i | −0.422801 | − | 0.402841i | ||||
\(291\) | −37.9761 | − | 27.5913i | −2.22620 | − | 1.61743i | ||||
\(292\) | 1.43374 | + | 9.05230i | 0.0839035 | + | 0.529746i | ||||
\(293\) | −3.08688 | − | 6.05833i | −0.180337 | − | 0.353932i | 0.783087 | − | 0.621912i | \(-0.213644\pi\) |
−0.963424 | + | 0.267980i | \(0.913644\pi\) | |||||||
\(294\) | −6.08987 | − | 18.7427i | −0.355168 | − | 1.09310i | ||||
\(295\) | −8.59572 | + | 12.4532i | −0.500462 | + | 0.725052i | ||||
\(296\) | 2.90773i | 0.169009i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.9233 | + | 10.9233i | 0.632770 | + | 0.632770i | ||||
\(299\) | −2.98292 | + | 2.16722i | −0.172507 | + | 0.125333i | ||||
\(300\) | −12.5218 | + | 2.60905i | −0.722949 | + | 0.150634i | ||||
\(301\) | 0.613473 | − | 1.88808i | 0.0353600 | − | 0.108827i | ||||
\(302\) | 6.85761 | − | 1.08614i | 0.394611 | − | 0.0625003i | ||||
\(303\) | −1.78070 | + | 0.282035i | −0.102299 | + | 0.0162025i | ||||
\(304\) | 0.653244 | − | 2.01048i | 0.0374661 | − | 0.115309i | ||||
\(305\) | −12.4921 | − | 16.3479i | −0.715293 | − | 0.936077i | ||||
\(306\) | −23.6018 | + | 17.1477i | −1.34923 | + | 0.980271i | ||||
\(307\) | 5.54209 | + | 5.54209i | 0.316304 | + | 0.316304i | 0.847346 | − | 0.531042i | \(-0.178199\pi\) |
−0.531042 | + | 0.847346i | \(0.678199\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.81836i | 0.330995i | ||||||||
\(310\) | −0.693960 | − | 3.78672i | −0.0394143 | − | 0.215071i | ||||
\(311\) | 5.12686 | + | 15.7788i | 0.290717 | + | 0.894736i | 0.984626 | + | 0.174674i | \(0.0558870\pi\) |
−0.693909 | + | 0.720063i | \(0.744113\pi\) | |||||||
\(312\) | −12.6054 | − | 24.7395i | −0.713640 | − | 1.40060i | ||||
\(313\) | −1.48979 | − | 9.40618i | −0.0842080 | − | 0.531669i | −0.993346 | − | 0.115172i | \(-0.963258\pi\) |
0.909137 | − | 0.416496i | \(-0.136742\pi\) | |||||||
\(314\) | −1.36454 | − | 0.991394i | −0.0770053 | − | 0.0559476i | ||||
\(315\) | 4.18189 | − | 4.38910i | 0.235623 | − | 0.247298i | ||||
\(316\) | −3.59934 | + | 1.16950i | −0.202479 | + | 0.0657893i | ||||
\(317\) | 3.77278 | − | 23.8204i | 0.211901 | − | 1.33789i | −0.620715 | − | 0.784037i | \(-0.713157\pi\) |
0.832615 | − | 0.553852i | \(-0.186843\pi\) | |||||||
\(318\) | 14.6570 | − | 14.6570i | 0.821926 | − | 0.821926i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 15.9957 | − | 5.62823i | 0.894187 | − | 0.314628i | ||||
\(321\) | 14.7951 | + | 20.3638i | 0.825784 | + | 1.13659i | ||||
\(322\) | 0.581659 | + | 0.296370i | 0.0324146 | + | 0.0165161i | ||||
\(323\) | 7.85337 | − | 4.00149i | 0.436973 | − | 0.222649i | ||||
\(324\) | 0.278452 | − | 0.383256i | 0.0154695 | − | 0.0212920i | ||||
\(325\) | −10.9036 | + | 12.0123i | −0.604824 | + | 0.666321i | ||||
\(326\) | 10.0655 | + | 3.27046i | 0.557474 | + | 0.181134i | ||||
\(327\) | −5.72836 | + | 11.2425i | −0.316779 | + | 0.621714i | ||||
\(328\) | −26.8514 | − | 4.25284i | −1.48262 | − | 0.234824i | ||||
\(329\) | 2.23875 | 0.123426 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5641 | 0.690587 | 0.345294 | − | 0.938495i | \(-0.387779\pi\) | ||||
0.345294 | + | 0.938495i | \(0.387779\pi\) | |||||||
\(332\) | 10.1648 | + | 1.60994i | 0.557863 | + | 0.0883569i | ||||
\(333\) | −2.14213 | + | 4.20417i | −0.117388 | + | 0.230387i | ||||
\(334\) | 14.2274 | + | 4.62275i | 0.778486 | + | 0.252946i | ||||
\(335\) | 3.94252 | + | 7.29614i | 0.215403 | + | 0.398631i | ||||
\(336\) | −1.23608 | + | 1.70131i | −0.0674335 | + | 0.0928142i | ||||
\(337\) | −14.6798 | + | 7.47973i | −0.799660 | + | 0.407447i | −0.805544 | − | 0.592536i | \(-0.798127\pi\) |
0.00588436 | + | 0.999983i | \(0.498127\pi\) | |||||||
\(338\) | 2.30187 | + | 1.17286i | 0.125205 | + | 0.0637952i | ||||
\(339\) | −2.37661 | − | 3.27112i | −0.129080 | − | 0.177663i | ||||
\(340\) | 10.3714 | + | 4.97252i | 0.562470 | + | 0.269673i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 5.67035 | − | 5.67035i | 0.306618 | − | 0.306618i | ||||
\(343\) | 1.17816 | − | 7.43864i | 0.0636149 | − | 0.401649i | ||||
\(344\) | 10.4347 | − | 3.39044i | 0.562602 | − | 0.182800i | ||||
\(345\) | −0.172949 | − | 7.15394i | −0.00931125 | − | 0.385155i | ||||
\(346\) | 14.0054 | + | 10.1755i | 0.752937 | + | 0.547041i | ||||
\(347\) | 2.22762 | + | 14.0646i | 0.119585 | + | 0.755029i | 0.972487 | + | 0.232958i | \(0.0748404\pi\) |
−0.852902 | + | 0.522071i | \(0.825160\pi\) | |||||||
\(348\) | −4.94372 | − | 9.70260i | −0.265011 | − | 0.520114i | ||||
\(349\) | 5.13391 | + | 15.8006i | 0.274812 | + | 0.845785i | 0.989269 | + | 0.146105i | \(0.0466738\pi\) |
−0.714457 | + | 0.699679i | \(0.753326\pi\) | |||||||
\(350\) | 2.77144 | + | 0.754556i | 0.148140 | + | 0.0403327i | ||||
\(351\) | − | 17.6440i | − | 0.941767i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.78082 | + | 7.78082i | 0.414131 | + | 0.414131i | 0.883175 | − | 0.469044i | \(-0.155401\pi\) |
−0.469044 | + | 0.883175i | \(0.655401\pi\) | |||||||
\(354\) | 16.1087 | − | 11.7037i | 0.856167 | − | 0.622042i | ||||
\(355\) | −12.1777 | + | 9.30549i | −0.646327 | + | 0.493884i | ||||
\(356\) | 1.02417 | − | 3.15207i | 0.0542809 | − | 0.167059i | ||||
\(357\) | −8.66021 | + | 1.37164i | −0.458347 | + | 0.0725950i | ||||
\(358\) | 20.6249 | − | 3.26667i | 1.09006 | − | 0.172649i | ||||
\(359\) | 4.07277 | − | 12.5347i | 0.214952 | − | 0.661555i | −0.784205 | − | 0.620502i | \(-0.786929\pi\) |
0.999157 | − | 0.0410530i | \(-0.0130713\pi\) | |||||||
\(360\) | 33.2091 | + | 4.43996i | 1.75027 | + | 0.234007i | ||||
\(361\) | 13.4113 | − | 9.74385i | 0.705856 | − | 0.512834i | ||||
\(362\) | 19.8549 | + | 19.8549i | 1.04355 | + | 1.04355i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 1.62050i | − | 0.0849374i | ||||||
\(365\) | −22.1915 | + | 4.06685i | −1.16156 | + | 0.212869i | ||||
\(366\) | 8.36613 | + | 25.7483i | 0.437304 | + | 1.34588i | ||||
\(367\) | 12.6220 | + | 24.7721i | 0.658864 | + | 1.29309i | 0.942514 | + | 0.334166i | \(0.108455\pi\) |
−0.283650 | + | 0.958928i | \(0.591545\pi\) | |||||||
\(368\) | 0.241431 | + | 1.52434i | 0.0125855 | + | 0.0794616i | ||||
\(369\) | −35.6902 | − | 25.9304i | −1.85796 | − | 1.34988i | ||||
\(370\) | −2.23492 | + | 0.0540300i | −0.116188 | + | 0.00280889i | ||||
\(371\) | 3.68378 | − | 1.19693i | 0.191252 | − | 0.0621416i | ||||
\(372\) | 0.659436 | − | 4.16352i | 0.0341902 | − | 0.215868i | ||||
\(373\) | −6.02155 | + | 6.02155i | −0.311784 | + | 0.311784i | −0.845600 | − | 0.533816i | \(-0.820757\pi\) |
0.533816 | + | 0.845600i | \(0.320757\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.16558 | − | 30.6598i | −0.370029 | − | 1.58327i | ||||
\(376\) | 7.27253 | + | 10.0098i | 0.375052 | + | 0.516215i | ||||
\(377\) | −12.3061 | − | 6.27028i | −0.633797 | − | 0.322936i | ||||
\(378\) | −2.78344 | + | 1.41823i | −0.143165 | + | 0.0729460i | ||||
\(379\) | −2.55987 | + | 3.52335i | −0.131492 | + | 0.180983i | −0.869686 | − | 0.493605i | \(-0.835679\pi\) |
0.738194 | + | 0.674588i | \(0.235679\pi\) | |||||||
\(380\) | −3.02958 | − | 0.904027i | −0.155414 | − | 0.0463756i | ||||
\(381\) | 31.6684 | + | 10.2897i | 1.62242 | + | 0.527157i | ||||
\(382\) | 6.13814 | − | 12.0468i | 0.314054 | − | 0.616367i | ||||
\(383\) | 6.70081 | + | 1.06130i | 0.342395 | + | 0.0542301i | 0.325264 | − | 0.945623i | \(-0.394547\pi\) |
0.0171310 | + | 0.999853i | \(0.494547\pi\) | |||||||
\(384\) | 3.92473 | 0.200283 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.83388 | −0.398734 | ||||||||
\(387\) | 17.5848 | + | 2.78517i | 0.893888 | + | 0.141578i | ||||
\(388\) | 6.87385 | − | 13.4907i | 0.348967 | − | 0.684886i | ||||
\(389\) | 23.4174 | + | 7.60877i | 1.18731 | + | 0.385780i | 0.835077 | − | 0.550133i | \(-0.185423\pi\) |
0.352231 | + | 0.935913i | \(0.385423\pi\) | |||||||
\(390\) | 18.7809 | − | 10.1484i | 0.951007 | − | 0.513883i | ||||
\(391\) | −3.78235 | + | 5.20596i | −0.191282 | + | 0.263277i | ||||
\(392\) | 18.1340 | − | 9.23973i | 0.915905 | − | 0.466677i | ||||
\(393\) | 19.9344 | + | 10.1571i | 1.00556 | + | 0.512357i | ||||
\(394\) | 2.37183 | + | 3.26455i | 0.119491 | + | 0.164466i | ||||
\(395\) | −3.09215 | − | 8.78805i | −0.155583 | − | 0.442175i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −20.7876 | + | 20.7876i | −1.04330 | + | 1.04330i | −0.0442826 | + | 0.999019i | \(0.514100\pi\) |
−0.999019 | + | 0.0442826i | \(0.985900\pi\) | |||||||
\(398\) | 2.02401 | − | 12.7791i | 0.101454 | − | 0.640558i | ||||
\(399\) | 2.29219 | − | 0.744779i | 0.114753 | − | 0.0372856i | ||||
\(400\) | 2.40803 | + | 6.34929i | 0.120402 | + | 0.317464i | ||||
\(401\) | −20.0349 | − | 14.5562i | −1.00049 | − | 0.726901i | −0.0382998 | − | 0.999266i | \(-0.512194\pi\) |
−0.962194 | + | 0.272365i | \(0.912194\pi\) | |||||||
\(402\) | −1.70714 | − | 10.7785i | −0.0851445 | − | 0.537581i | ||||
\(403\) | −2.42728 | − | 4.76381i | −0.120911 | − | 0.237302i | ||||
\(404\) | −0.179702 | − | 0.553067i | −0.00894052 | − | 0.0275161i | ||||
\(405\) | 0.959721 | + | 0.662441i | 0.0476889 | + | 0.0329170i | ||||
\(406\) | 2.44537i | 0.121362i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −34.2653 | − | 34.2653i | −1.69638 | − | 1.69638i | ||||
\(409\) | 8.10131 | − | 5.88595i | 0.400584 | − | 0.291041i | −0.369195 | − | 0.929352i | \(-0.620367\pi\) |
0.769779 | + | 0.638311i | \(0.220367\pi\) | |||||||
\(410\) | 2.76985 | − | 20.7173i | 0.136793 | − | 1.02316i | ||||
\(411\) | 3.89427 | − | 11.9853i | 0.192090 | − | 0.591192i | ||||
\(412\) | −1.85362 | + | 0.293585i | −0.0913214 | + | 0.0144639i | ||||
\(413\) | 3.67492 | − | 0.582051i | 0.180831 | − | 0.0286409i | ||||
\(414\) | −1.80915 | + | 5.56801i | −0.0889151 | + | 0.273653i | ||||
\(415\) | −3.35717 | + | 25.1103i | −0.164797 | + | 1.23261i | ||||
\(416\) | 12.2280 | − | 8.88417i | 0.599527 | − | 0.435582i | ||||
\(417\) | −45.0367 | − | 45.0367i | −2.20545 | − | 2.20545i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 7.65743i | − | 0.374090i | −0.982351 | − | 0.187045i | \(-0.940109\pi\) | ||
0.982351 | − | 0.187045i | \(-0.0598910\pi\) | |||||||
\(420\) | 2.58840 | + | 1.78662i | 0.126301 | + | 0.0871783i | ||||
\(421\) | −6.69710 | − | 20.6115i | −0.326396 | − | 1.00455i | −0.970806 | − | 0.239865i | \(-0.922897\pi\) |
0.644410 | − | 0.764680i | \(-0.277103\pi\) | |||||||
\(422\) | −6.43037 | − | 12.6203i | −0.313025 | − | 0.614347i | ||||
\(423\) | 3.14082 | + | 19.8304i | 0.152712 | + | 0.964186i | ||||
\(424\) | 17.3183 | + | 12.5825i | 0.841052 | + | 0.611060i | ||||
\(425\) | −11.6199 | + | 25.8189i | −0.563646 | + | 1.25240i | ||||
\(426\) | 19.1802 | − | 6.23203i | 0.929285 | − | 0.301943i | ||||
\(427\) | −0.791408 | + | 4.99675i | −0.0382989 | + | 0.241810i | ||||
\(428\) | −5.74098 | + | 5.74098i | −0.277501 | + | 0.277501i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.79983 | + | 7.95726i | 0.135020 | + | 0.383733i | ||||
\(431\) | −16.7399 | − | 23.0405i | −0.806334 | − | 1.10982i | −0.991879 | − | 0.127188i | \(-0.959405\pi\) |
0.185545 | − | 0.982636i | \(-0.440595\pi\) | |||||||
\(432\) | −6.58045 | − | 3.35290i | −0.316602 | − | 0.161317i | ||||
\(433\) | −11.1122 | + | 5.66197i | −0.534020 | + | 0.272097i | −0.700136 | − | 0.714009i | \(-0.746877\pi\) |
0.166116 | + | 0.986106i | \(0.446877\pi\) | |||||||
\(434\) | −0.556411 | + | 0.765835i | −0.0267086 | + | 0.0367612i | ||||
\(435\) | 23.5830 | − | 12.7433i | 1.13072 | − | 0.610992i | ||||
\(436\) | −3.87071 | − | 1.25767i | −0.185373 | − | 0.0602314i | ||||
\(437\) | 0.803021 | − | 1.57602i | 0.0384137 | − | 0.0753911i | ||||
\(438\) | 29.3221 | + | 4.64417i | 1.40107 | + | 0.221907i | ||||
\(439\) | −16.9147 | −0.807294 | −0.403647 | − | 0.914915i | \(-0.632258\pi\) | ||||
−0.403647 | + | 0.914915i | \(0.632258\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 33.0261 | 1.57267 | ||||||||
\(442\) | −18.9599 | − | 3.00295i | −0.901830 | − | 0.142836i | ||||
\(443\) | 5.02205 | − | 9.85633i | 0.238605 | − | 0.468288i | −0.740389 | − | 0.672179i | \(-0.765359\pi\) |
0.978994 | + | 0.203890i | \(0.0653586\pi\) | |||||||
\(444\) | −2.32809 | − | 0.756443i | −0.110486 | − | 0.0358992i | ||||
\(445\) | 7.81787 | + | 2.33285i | 0.370602 | + | 0.110588i | ||||
\(446\) | −3.21828 | + | 4.42959i | −0.152390 | + | 0.209747i | ||||
\(447\) | −37.1001 | + | 18.9035i | −1.75478 | + | 0.894103i | ||||
\(448\) | −3.71510 | − | 1.89294i | −0.175522 | − | 0.0894330i | ||||
\(449\) | −2.65602 | − | 3.65570i | −0.125346 | − | 0.172523i | 0.741732 | − | 0.670696i | \(-0.234005\pi\) |
−0.867078 | + | 0.498173i | \(0.834005\pi\) | |||||||
\(450\) | −2.79554 | + | 25.6075i | −0.131783 | + | 1.20715i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.922199 | − | 0.922199i | 0.0433766 | − | 0.0433766i | ||||
\(453\) | −2.92760 | + | 18.4841i | −0.137550 | + | 0.868459i | ||||
\(454\) | 14.9757 | − | 4.86590i | 0.702844 | − | 0.228368i | ||||
\(455\) | 3.98790 | − | 0.0964087i | 0.186956 | − | 0.00451971i | ||||
\(456\) | 10.7762 | + | 7.82933i | 0.504640 | + | 0.366642i | ||||
\(457\) | −5.10388 | − | 32.2246i | −0.238749 | − | 1.50740i | −0.757702 | − | 0.652601i | \(-0.773678\pi\) |
0.518953 | − | 0.854803i | \(-0.326322\pi\) | |||||||
\(458\) | −7.05205 | − | 13.8404i | −0.329520 | − | 0.646720i | ||||
\(459\) | −9.51565 | − | 29.2862i | −0.444153 | − | 1.36696i | ||||
\(460\) | 2.27039 | − | 0.416074i | 0.105857 | − | 0.0193996i | ||||
\(461\) | 23.4279i | 1.09114i | 0.838064 | + | 0.545572i | \(0.183688\pi\) | ||||
−0.838064 | + | 0.545572i | \(0.816312\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −29.2123 | − | 29.2123i | −1.35761 | − | 1.35761i | −0.876851 | − | 0.480762i | \(-0.840360\pi\) |
−0.480762 | − | 0.876851i | \(-0.659640\pi\) | |||||||
\(464\) | −4.67709 | + | 3.39810i | −0.217128 | + | 0.157753i | ||||
\(465\) | 10.2852 | + | 1.37511i | 0.476967 | + | 0.0637691i | ||||
\(466\) | 1.78835 | − | 5.50398i | 0.0828438 | − | 0.254967i | ||||
\(467\) | 28.0572 | − | 4.44382i | 1.29833 | − | 0.205635i | 0.531266 | − | 0.847205i | \(-0.321716\pi\) |
0.767065 | + | 0.641570i | \(0.221716\pi\) | |||||||
\(468\) | 14.3541 | − | 2.27346i | 0.663517 | − | 0.105091i | ||||
\(469\) | 0.630152 | − | 1.93941i | 0.0290977 | − | 0.0895536i | ||||
\(470\) | −7.55852 | + | 5.77576i | −0.348648 | + | 0.266416i | ||||
\(471\) | 3.67799 | − | 2.67222i | 0.169473 | − | 0.123129i | ||||
\(472\) | 14.5403 | + | 14.5403i | 0.669273 | + | 0.669273i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 12.2590i | 0.563072i | ||||||||
\(475\) | 2.04448 | − | 7.50928i | 0.0938074 | − | 0.344549i | ||||
\(476\) | −0.873959 | − | 2.68977i | −0.0400579 | − | 0.123285i | ||||
\(477\) | 15.7703 | + | 30.9509i | 0.722072 | + | 1.41715i | ||||
\(478\) | 4.04025 | + | 25.5092i | 0.184797 | + | 1.16676i | ||||
\(479\) | 25.3831 | + | 18.4419i | 1.15978 | + | 0.842631i | 0.989751 | − | 0.142807i | \(-0.0456129\pi\) |
0.170032 | + | 0.985439i | \(0.445613\pi\) | |||||||
\(480\) | 0.708977 | + | 29.3265i | 0.0323602 | + | 1.33856i | ||||
\(481\) | −2.95280 | + | 0.959421i | −0.134636 | + | 0.0437458i | ||||
\(482\) | 0.849420 | − | 5.36303i | 0.0386900 | − | 0.244279i | ||||
\(483\) | −1.24422 | + | 1.24422i | −0.0566141 | + | 0.0566141i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 33.6082 | + | 16.1133i | 1.52607 | + | 0.731666i | ||||
\(486\) | 9.11681 | + | 12.5482i | 0.413547 | + | 0.569199i | ||||
\(487\) | 6.12393 | + | 3.12030i | 0.277502 | + | 0.141394i | 0.587203 | − | 0.809440i | \(-0.300229\pi\) |
−0.309701 | + | 0.950834i | \(0.600229\pi\) | |||||||
\(488\) | −24.9121 | + | 12.6933i | −1.12772 | + | 0.574600i | ||||
\(489\) | −16.7676 | + | 23.0786i | −0.758258 | + | 1.04365i | ||||
\(490\) | 7.43874 | + | 13.7663i | 0.336048 | + | 0.621900i | ||||
\(491\) | 14.0088 | + | 4.55175i | 0.632211 | + | 0.205418i | 0.607554 | − | 0.794278i | \(-0.292151\pi\) |
0.0246565 | + | 0.999696i | \(0.492151\pi\) | |||||||
\(492\) | 10.3904 | − | 20.3923i | 0.468436 | − | 0.919357i | ||||
\(493\) | −23.8078 | − | 3.77079i | −1.07225 | − | 0.169828i | ||||
\(494\) | 5.27658 | 0.237405 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.23795 | −0.100487 | ||||||||
\(497\) | 3.72214 | + | 0.589529i | 0.166961 | + | 0.0264440i | ||||
\(498\) | 15.1342 | − | 29.7026i | 0.678181 | − | 1.33101i | ||||
\(499\) | −25.1783 | − | 8.18091i | −1.12713 | − | 0.366228i | −0.314647 | − | 0.949209i | \(-0.601886\pi\) |
−0.812486 | + | 0.582981i | \(0.801886\pi\) | |||||||
\(500\) | 9.40609 | − | 3.82987i | 0.420653 | − | 0.171277i | ||||
\(501\) | −23.7008 | + | 32.6213i | −1.05887 | + | 1.45741i | ||||
\(502\) | −11.6243 | + | 5.92286i | −0.518816 | + | 0.264350i | ||||
\(503\) | −27.1211 | − | 13.8189i | −1.20927 | − | 0.616153i | −0.271174 | − | 0.962530i | \(-0.587412\pi\) |
−0.938095 | + | 0.346377i | \(0.887412\pi\) | |||||||
\(504\) | −4.84244 | − | 6.66504i | −0.215699 | − | 0.296885i | ||||
\(505\) | 1.35035 | − | 0.475134i | 0.0600899 | − | 0.0211432i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.92391 | + | 4.92391i | −0.218678 | + | 0.218678i | ||||
\(508\) | −1.68017 | + | 10.6082i | −0.0745455 | + | 0.470662i | ||||
\(509\) | −3.85928 | + | 1.25395i | −0.171059 | + | 0.0555806i | −0.393295 | − | 0.919413i | \(-0.628665\pi\) |
0.222235 | + | 0.974993i | \(0.428665\pi\) | |||||||
\(510\) | 25.7001 | − | 26.9735i | 1.13802 | − | 1.19441i | ||||
\(511\) | 4.48807 | + | 3.26077i | 0.198540 | + | 0.144248i | ||||
\(512\) | −2.28089 | − | 14.4010i | −0.100802 | − | 0.636439i | ||||
\(513\) | 3.84273 | + | 7.54178i | 0.169661 | + | 0.332978i | ||||
\(514\) | 4.11823 | + | 12.6746i | 0.181647 | + | 0.559053i | ||||
\(515\) | −0.832761 | − | 4.54412i | −0.0366958 | − | 0.200238i | ||||
\(516\) | 9.23663i | 0.406620i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0.388701 | + | 0.388701i | 0.0170786 | + | 0.0170786i | ||||
\(519\) | −37.7505 | + | 27.4273i | −1.65706 | + | 1.20393i | ||||
\(520\) | 13.3856 | + | 17.5173i | 0.587000 | + | 0.768184i | ||||
\(521\) | 5.40872 | − | 16.6463i | 0.236960 | − | 0.729289i | −0.759895 | − | 0.650046i | \(-0.774750\pi\) |
0.996855 | − | 0.0792430i | \(-0.0252503\pi\) | |||||||
\(522\) | −21.6606 | + | 3.43070i | −0.948057 | + | 0.150157i | ||||
\(523\) | −17.1619 | + | 2.71817i | −0.750436 | + | 0.118857i | −0.519924 | − | 0.854212i | \(-0.674040\pi\) |
−0.230511 | + | 0.973070i | \(0.574040\pi\) | |||||||
\(524\) | −2.23000 | + | 6.86323i | −0.0974180 | + | 0.299822i | ||||
\(525\) | −4.24271 | + | 6.47608i | −0.185167 | + | 0.282639i | ||||
\(526\) | 16.2766 | − | 11.8256i | 0.709692 | − | 0.515622i | ||||
\(527\) | −6.59808 | − | 6.59808i | −0.287417 | − | 0.287417i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 21.7086i | − | 0.943854i | ||||||
\(530\) | −9.34928 | + | 13.5449i | −0.406107 | + | 0.588353i | ||||
\(531\) | 10.3114 | + | 31.7351i | 0.447475 | + | 1.37719i | ||||
\(532\) | 0.352933 | + | 0.692670i | 0.0153016 | + | 0.0300311i | ||||
\(533\) | −4.54100 | − | 28.6707i | −0.196692 | − | 1.24187i | ||||
\(534\) | −8.68528 | − | 6.31022i | −0.375849 | − | 0.273070i | ||||
\(535\) | −14.4695 | − | 13.7864i | −0.625573 | − | 0.596040i | ||||
\(536\) | 10.7184 | − | 3.48262i | 0.462965 | − | 0.150426i | ||||
\(537\) | −8.80502 | + | 55.5927i | −0.379965 | + | 2.39900i | ||||
\(538\) | 12.8520 | − | 12.8520i | 0.554090 | − | 0.554090i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −4.77524 | + | 9.95994i | −0.205494 | + | 0.428608i | ||||
\(541\) | 21.6509 | + | 29.7999i | 0.930846 | + | 1.28120i | 0.959529 | + | 0.281611i | \(0.0908688\pi\) |
−0.0286825 | + | 0.999589i | \(0.509131\pi\) | |||||||
\(542\) | −29.5781 | − | 15.0708i | −1.27049 | − | 0.647347i | ||||
\(543\) | −67.4355 | + | 34.3601i | −2.89393 | + | 1.47453i | ||||
\(544\) | 15.5052 | − | 21.3410i | 0.664778 | − | 0.914989i | ||||
\(545\) | 2.86472 | − | 9.60026i | 0.122711 | − | 0.411230i | ||||
\(546\) | −4.99221 | − | 1.62207i | −0.213647 | − | 0.0694180i | ||||
\(547\) | −3.93377 | + | 7.72046i | −0.168196 | + | 0.330103i | −0.959684 | − | 0.281082i | \(-0.909307\pi\) |
0.791488 | + | 0.611185i | \(0.209307\pi\) | |||||||
\(548\) | 4.01480 | + | 0.635882i | 0.171504 | + | 0.0271635i | ||||
\(549\) | −45.3705 | −1.93637 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.62577 | 0.282267 | ||||||||
\(552\) | −9.60493 | − | 1.52127i | −0.408813 | − | 0.0647496i | ||||
\(553\) | −1.03998 | + | 2.04108i | −0.0442246 | + | 0.0867956i | ||||
\(554\) | −7.21373 | − | 2.34388i | −0.306482 | − | 0.0995820i | ||||
\(555\) | 1.72303 | − | 5.77422i | 0.0731385 | − | 0.245102i | ||||
\(556\) | 12.0754 | − | 16.6203i | 0.512110 | − | 0.704859i | ||||
\(557\) | 7.46369 | − | 3.80294i | 0.316247 | − | 0.161136i | −0.288661 | − | 0.957431i | \(-0.593210\pi\) |
0.604908 | + | 0.796296i | \(0.293210\pi\) | |||||||
\(558\) | −7.56421 | − | 3.85416i | −0.320219 | − | 0.163160i | ||||
\(559\) | 6.88597 | + | 9.47772i | 0.291245 | + | 0.400865i | ||||
\(560\) | 0.721868 | − | 1.50563i | 0.0305045 | − | 0.0636247i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.09614 | − | 4.09614i | 0.172785 | − | 0.172785i | ||||
\(563\) | 4.71548 | − | 29.7724i | 0.198734 | − | 1.25476i | −0.663473 | − | 0.748200i | \(-0.730918\pi\) |
0.862207 | − | 0.506556i | \(-0.169082\pi\) | |||||||
\(564\) | −9.90632 | + | 3.21876i | −0.417131 | + | 0.135534i | ||||
\(565\) | 2.32431 | + | 2.21458i | 0.0977844 | + | 0.0931680i | ||||
\(566\) | −11.6820 | − | 8.48746i | −0.491031 | − | 0.356755i | ||||
\(567\) | −0.0448566 | − | 0.283213i | −0.00188380 | − | 0.0118938i | ||||
\(568\) | 9.45542 | + | 18.5573i | 0.396741 | + | 0.778647i | ||||
\(569\) | −8.37640 | − | 25.7799i | −0.351157 | − | 1.08075i | −0.958204 | − | 0.286084i | \(-0.907646\pi\) |
0.607048 | − | 0.794665i | \(-0.292354\pi\) | |||||||
\(570\) | −5.81750 | + | 8.42818i | −0.243668 | + | 0.353018i | ||||
\(571\) | − | 6.30511i | − | 0.263861i | −0.991259 | − | 0.131930i | \(-0.957883\pi\) | ||
0.991259 | − | 0.131930i | \(-0.0421175\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 25.7692 | + | 25.7692i | 1.07652 | + | 1.07652i | ||||
\(574\) | −4.15796 | + | 3.02093i | −0.173550 | + | 0.126091i | ||||
\(575\) | 1.15899 | + | 5.56245i | 0.0483333 | + | 0.231970i | ||||
\(576\) | 11.5552 | − | 35.5633i | 0.481467 | − | 1.48180i | ||||
\(577\) | −23.4881 | + | 3.72015i | −0.977823 | + | 0.154872i | −0.624836 | − | 0.780756i | \(-0.714834\pi\) |
−0.352987 | + | 0.935628i | \(0.614834\pi\) | |||||||
\(578\) | −15.5468 | + | 2.46237i | −0.646661 | + | 0.102421i | ||||
\(579\) | 6.52507 | − | 20.0821i | 0.271173 | − | 0.834583i | ||||
\(580\) | 5.24973 | + | 6.87012i | 0.217983 | + | 0.285266i | ||||
\(581\) | 5.03961 | − | 3.66149i | 0.209078 | − | 0.151904i | ||||
\(582\) | −34.6797 | − | 34.6797i | −1.43752 | − | 1.43752i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 30.6593i | 1.26869i | ||||||||
\(585\) | 6.44874 | + | 35.1887i | 0.266622 | + | 1.45487i | ||||
\(586\) | −2.19529 | − | 6.75641i | −0.0906866 | − | 0.279105i | ||||
\(587\) | 4.95479 | + | 9.72432i | 0.204506 | + | 0.401366i | 0.970365 | − | 0.241642i | \(-0.0776861\pi\) |
−0.765859 | + | 0.643008i | \(0.777686\pi\) | |||||||
\(588\) | 2.68030 | + | 16.9228i | 0.110534 | + | 0.697884i | ||||
\(589\) | 2.07504 | + | 1.50761i | 0.0855007 | + | 0.0621199i | ||||
\(590\) | −10.9057 | + | 11.4461i | −0.448982 | + | 0.471228i | ||||
\(591\) | −10.3442 | + | 3.36104i | −0.425504 | + | 0.138255i | ||||
\(592\) | −0.203300 | + | 1.28358i | −0.00835557 | + | 0.0527550i | ||||
\(593\) | 26.5198 | − | 26.5198i | 1.08904 | − | 1.08904i | 0.0934112 | − | 0.995628i | \(-0.470223\pi\) |
0.995628 | − | 0.0934112i | \(-0.0297771\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.56727 | − | 2.31075i | 0.269232 | − | 0.0947316i | ||||
\(596\) | −7.89430 | − | 10.8656i | −0.323363 | − | 0.445071i | ||||
\(597\) | 31.0732 | + | 15.8326i | 1.27174 | + | 0.647985i | ||||
\(598\) | −3.43243 | + | 1.74891i | −0.140363 | + | 0.0715183i | ||||
\(599\) | −25.9752 | + | 35.7518i | −1.06132 | + | 1.46078i | −0.182751 | + | 0.983159i | \(0.558500\pi\) |
−0.878567 | + | 0.477620i | \(0.841500\pi\) | |||||||
\(600\) | −42.7378 | + | 2.06761i | −1.74477 | + | 0.0844099i | ||||
\(601\) | 35.3322 | + | 11.4801i | 1.44123 | + | 0.468285i | 0.922281 | − | 0.386519i | \(-0.126323\pi\) |
0.518951 | + | 0.854804i | \(0.326323\pi\) | |||||||
\(602\) | 0.941667 | − | 1.84812i | 0.0383795 | − | 0.0753239i | ||||
\(603\) | 18.0630 | + | 2.86089i | 0.735580 | + | 0.116504i | ||||
\(604\) | −6.03642 | −0.245618 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.88368 | −0.0765194 | ||||||||
\(607\) | −44.6119 | − | 7.06582i | −1.81074 | − | 0.286793i | −0.842846 | − | 0.538155i | \(-0.819122\pi\) |
−0.967893 | + | 0.251362i | \(0.919122\pi\) | |||||||
\(608\) | −3.29186 | + | 6.46064i | −0.133502 | + | 0.262013i | ||||
\(609\) | −6.26868 | − | 2.03682i | −0.254020 | − | 0.0825360i | ||||
\(610\) | −10.2192 | − | 18.9119i | −0.413762 | − | 0.765721i | ||||
\(611\) | −7.76529 | + | 10.6880i | −0.314150 | + | 0.432390i | ||||
\(612\) | 22.5993 | − | 11.5149i | 0.913523 | − | 0.465463i | ||||
\(613\) | −12.5613 | − | 6.40030i | −0.507346 | − | 0.258506i | 0.181530 | − | 0.983385i | \(-0.441895\pi\) |
−0.688875 | + | 0.724880i | \(0.741895\pi\) | |||||||
\(614\) | 4.81332 | + | 6.62496i | 0.194250 | + | 0.267362i | ||||
\(615\) | 50.8017 | + | 24.3566i | 2.04852 | + | 0.982152i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.9495 | + | 17.9495i | −0.722618 | + | 0.722618i | −0.969138 | − | 0.246520i | \(-0.920713\pi\) |
0.246520 | + | 0.969138i | \(0.420713\pi\) | |||||||
\(618\) | −0.950977 | + | 6.00424i | −0.0382539 | + | 0.241526i | ||||
\(619\) | 25.6001 | − | 8.31798i | 1.02896 | − | 0.334328i | 0.254578 | − | 0.967052i | \(-0.418063\pi\) |
0.774377 | + | 0.632724i | \(0.218063\pi\) | |||||||
\(620\) | 0.0808924 | + | 3.34607i | 0.00324872 | + | 0.134382i | ||||
\(621\) | −4.99941 | − | 3.63229i | −0.200620 | − | 0.145759i | ||||
\(622\) | 2.71168 | + | 17.1209i | 0.108729 | + | 0.686485i | ||||
\(623\) | −0.910749 | − | 1.78745i | −0.0364884 | − | 0.0716125i | ||||
\(624\) | −3.83480 | − | 11.8023i | −0.153515 | − | 0.472470i | ||||
\(625\) | 9.98453 | + | 22.9196i | 0.399381 | + | 0.916785i | ||||
\(626\) | − | 9.95017i | − | 0.397689i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.03690 | + | 1.03690i | 0.0413770 | + | 0.0413770i | ||||
\(629\) | −4.38373 | + | 3.18497i | −0.174791 | + | 0.126993i | ||||
\(630\) | 5.03287 | − | 3.84581i | 0.200514 | − | 0.153221i | ||||
\(631\) | −1.74476 | + | 5.36983i | −0.0694580 | + | 0.213770i | −0.979760 | − | 0.200174i | \(-0.935849\pi\) |
0.910302 | + | 0.413944i | \(0.135849\pi\) | |||||||
\(632\) | −12.5043 | + | 1.98049i | −0.497395 | + | 0.0787797i | ||||
\(633\) | 37.7081 | − | 5.97237i | 1.49876 | − | 0.237381i | ||||
\(634\) | 7.78663 | − | 23.9648i | 0.309246 | − | 0.951763i | ||||
\(635\) | −26.2057 | − | 3.50362i | −1.03994 | − | 0.139037i | ||||
\(636\) | −14.5796 | + | 10.5927i | −0.578118 | + | 0.420027i | ||||
\(637\) | 15.3663 | + | 15.3663i | 0.608835 | + | 0.608835i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 33.7970i | 1.33699i | ||||||||
\(640\) | −3.06520 | + | 0.561732i | −0.121163 | + | 0.0222044i | ||||
\(641\) | 10.6841 | + | 32.8823i | 0.421997 | + | 1.29877i | 0.905841 | + | 0.423619i | \(0.139240\pi\) |
−0.483844 | + | 0.875154i | \(0.660760\pi\) | |||||||
\(642\) | 11.9395 | + | 23.4325i | 0.471213 | + | 0.924807i | ||||
\(643\) | −3.03154 | − | 19.1404i | −0.119552 | − | 0.754822i | −0.972513 | − | 0.232848i | \(-0.925196\pi\) |
0.852961 | − | 0.521975i | \(-0.174804\pi\) | |||||||
\(644\) | −0.459168 | − | 0.333605i | −0.0180938 | − | 0.0131459i | ||||
\(645\) | −22.7304 | + | 0.549516i | −0.895010 | + | 0.0216372i | ||||
\(646\) | 8.75828 | − | 2.84574i | 0.344590 | − | 0.111964i | ||||
\(647\) | 3.24482 | − | 20.4870i | 0.127567 | − | 0.805426i | −0.838076 | − | 0.545554i | \(-0.816319\pi\) |
0.965643 | − | 0.259873i | \(-0.0836806\pi\) | |||||||
\(648\) | 1.12057 | − | 1.12057i | 0.0440202 | − | 0.0440202i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −13.2153 | + | 10.6139i | −0.518347 | + | 0.416311i | ||||
\(651\) | −1.49976 | − | 2.06424i | −0.0587802 | − | 0.0809040i | ||||
\(652\) | −8.19849 | − | 4.17734i | −0.321078 | − | 0.163597i | ||||
\(653\) | 29.2266 | − | 14.8917i | 1.14372 | − | 0.582757i | 0.223716 | − | 0.974654i | \(-0.428181\pi\) |
0.920009 | + | 0.391898i | \(0.128181\pi\) | |||||||
\(654\) | −7.74889 | + | 10.6654i | −0.303006 | + | 0.417052i | ||||
\(655\) | −17.0224 | − | 5.07950i | −0.665121 | − | 0.198472i | ||||
\(656\) | −11.5559 | − | 3.75473i | −0.451181 | − | 0.146598i | ||||
\(657\) | −22.5868 | + | 44.3290i | −0.881194 | + | 1.72944i | ||||
\(658\) | 2.31027 | + | 0.365911i | 0.0900637 | + | 0.0142647i | ||||
\(659\) | −3.99211 | −0.155511 | −0.0777553 | − | 0.996972i | \(-0.524775\pi\) | ||||
−0.0777553 | + | 0.996972i | \(0.524775\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.4892 | 1.65264 | 0.826318 | − | 0.563204i | \(-0.190431\pi\) | ||||
0.826318 | + | 0.563204i | \(0.190431\pi\) | |||||||
\(662\) | 12.9655 | + | 2.05354i | 0.503919 | + | 0.0798130i | ||||
\(663\) | 23.4903 | − | 46.1023i | 0.912287 | − | 1.79046i | ||||
\(664\) | 32.7421 | + | 10.6386i | 1.27064 | + | 0.412856i | ||||
\(665\) | −1.68360 | + | 0.909744i | −0.0652871 | + | 0.0352783i | ||||
\(666\) | −2.89771 | + | 3.98836i | −0.112284 | + | 0.154546i | ||||
\(667\) | −4.31008 | + | 2.19610i | −0.166887 | + | 0.0850332i | ||||
\(668\) | −11.5884 | − | 5.90461i | −0.448370 | − | 0.228456i | ||||
\(669\) | −8.67461 | − | 11.9396i | −0.335380 | − | 0.461610i | ||||
\(670\) | 2.87596 | + | 8.17361i | 0.111108 | + | 0.315774i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 5.10050 | − | 5.10050i | 0.196756 | − | 0.196756i | ||||
\(673\) | 0.0988936 | − | 0.624390i | 0.00381207 | − | 0.0240685i | −0.985709 | − | 0.168457i | \(-0.946122\pi\) |
0.989521 | + | 0.144389i | \(0.0461215\pi\) | |||||||
\(674\) | −16.3713 | + | 5.31936i | −0.630599 | + | 0.204894i | ||||
\(675\) | −24.7945 | − | 11.1588i | −0.954342 | − | 0.429504i | ||||
\(676\) | −1.81712 | − | 1.32021i | −0.0698892 | − | 0.0507775i | ||||
\(677\) | 0.749375 | + | 4.73137i | 0.0288008 | + | 0.181841i | 0.997895 | − | 0.0648496i | \(-0.0206568\pi\) |
−0.969094 | + | 0.246691i | \(0.920657\pi\) | |||||||
\(678\) | −1.91789 | − | 3.76407i | −0.0736561 | − | 0.144558i | ||||
\(679\) | −2.83203 | − | 8.71610i | −0.108683 | − | 0.334493i | ||||
\(680\) | 31.6653 | + | 21.8568i | 1.21431 | + | 0.838170i | ||||
\(681\) | 42.4430i | 1.62642i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.48359 | − | 6.48359i | −0.248088 | − | 0.248088i | 0.572098 | − | 0.820186i | \(-0.306130\pi\) |
−0.820186 | + | 0.572098i | \(0.806130\pi\) | |||||||
\(684\) | −5.64039 | + | 4.09798i | −0.215666 | + | 0.156690i | ||||
\(685\) | −1.32599 | + | 9.91786i | −0.0506635 | + | 0.378942i | ||||
\(686\) | 2.43161 | − | 7.48372i | 0.0928392 | − | 0.285730i | ||||
\(687\) | 41.3537 | − | 6.54978i | 1.57774 | − | 0.249890i | ||||
\(688\) | 4.84333 | − | 0.767108i | 0.184650 | − | 0.0292457i | ||||
\(689\) | −7.06322 | + | 21.7384i | −0.269087 | + | 0.828166i | ||||
\(690\) | 0.990797 | − | 7.41075i | 0.0377190 | − | 0.282122i | ||||
\(691\) | −25.5681 | + | 18.5763i | −0.972655 | + | 0.706675i | −0.956055 | − | 0.293187i | \(-0.905284\pi\) |
−0.0166001 | + | 0.999862i | \(0.505284\pi\) | |||||||
\(692\) | −10.6427 | − | 10.6427i | −0.404573 | − | 0.404573i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.8780i | 0.564762i | ||||||||
\(695\) | 41.6194 | + | 28.7275i | 1.57871 | + | 1.08970i | ||||
\(696\) | −11.2568 | − | 34.6447i | −0.426686 | − | 1.31321i | ||||
\(697\) | −22.9998 | − | 45.1397i | −0.871181 | − | 1.70979i | ||||
\(698\) | 2.71541 | + | 17.1444i | 0.102780 | + | 0.648927i | ||||
\(699\) | 12.6198 | + | 9.16885i | 0.477326 | + | 0.346798i | ||||
\(700\) | −2.27724 | − | 1.02488i | −0.0860716 | − | 0.0387367i | ||||
\(701\) | 15.5373 | − | 5.04836i | 0.586834 | − | 0.190674i | −0.000525859 | − | 1.00000i | \(-0.500167\pi\) |
0.587360 | + | 0.809326i | \(0.300167\pi\) | |||||||
\(702\) | 2.88381 | − | 18.2077i | 0.108842 | − | 0.687204i | ||||
\(703\) | 1.05319 | − | 1.05319i | 0.0397220 | − | 0.0397220i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.51041 | − | 24.1870i | −0.320521 | − | 0.910935i | ||||
\(706\) | 6.75766 | + | 9.30112i | 0.254328 | + | 0.350052i | ||||
\(707\) | −0.313628 | − | 0.159801i | −0.0117952 | − | 0.00600995i | ||||
\(708\) | −15.4245 | + | 7.85915i | −0.579686 | + | 0.295365i | ||||
\(709\) | −11.2431 | + | 15.4747i | −0.422242 | + | 0.581166i | −0.966151 | − | 0.257978i | \(-0.916944\pi\) |
0.543909 | + | 0.839144i | \(0.316944\pi\) | |||||||
\(710\) | −14.0877 | + | 7.61239i | −0.528702 | + | 0.285688i | ||||
\(711\) | −19.5385 | − | 6.34844i | −0.732751 | − | 0.238085i | ||||
\(712\) | 5.03338 | − | 9.87857i | 0.188634 | − | 0.370215i | ||||
\(713\) | −1.84951 | − | 0.292934i | −0.0692649 | − | 0.0109705i | ||||
\(714\) | −9.16106 | −0.342844 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −18.1551 | −0.678488 | ||||||||
\(717\) | −68.7577 | − | 10.8902i | −2.56781 | − | 0.406700i | ||||
\(718\) | 6.25160 | − | 12.2695i | 0.233308 | − | 0.457892i | ||||
\(719\) | −14.4759 | − | 4.70352i | −0.539862 | − | 0.175412i | 0.0263784 | − | 0.999652i | \(-0.491603\pi\) |
−0.566240 | + | 0.824240i | \(0.691603\pi\) | |||||||
\(720\) | 14.3493 | + | 4.28185i | 0.534768 | + | 0.159575i | ||||
\(721\) | −0.667702 | + | 0.919012i | −0.0248665 | + | 0.0342258i | ||||
\(722\) | 15.4323 | − | 7.86314i | 0.574330 | − | 0.292636i | ||||
\(723\) | 13.0406 | + | 6.64450i | 0.484984 | + | 0.247112i | ||||
\(724\) | −14.3492 | − | 19.7499i | −0.533283 | − | 0.734001i | ||||
\(725\) | −16.5944 | + | 13.3278i | −0.616299 | + | 0.494982i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.98783 | − | 5.98783i | 0.222076 | − | 0.222076i | −0.587296 | − | 0.809372i | \(-0.699808\pi\) |
0.809372 | + | 0.587296i | \(0.199808\pi\) | |||||||
\(728\) | 0.848019 | − | 5.35418i | 0.0314297 | − | 0.198439i | ||||
\(729\) | −41.2489 | + | 13.4026i | −1.52774 | + | 0.496392i | ||||
\(730\) | −23.5652 | + | 0.569696i | −0.872187 | + | 0.0210854i | ||||
\(731\) | 16.5411 | + | 12.0178i | 0.611793 | + | 0.444494i | ||||
\(732\) | −3.68214 | − | 23.2481i | −0.136096 | − | 0.859276i | ||||
\(733\) | 13.2798 | + | 26.0631i | 0.490501 | + | 0.962662i | 0.995059 | + | 0.0992844i | \(0.0316554\pi\) |
−0.504558 | + | 0.863378i | \(0.668345\pi\) | |||||||
\(734\) | 8.97640 | + | 27.6265i | 0.331325 | + | 1.01971i | ||||
\(735\) | −41.4858 | + | 7.60276i | −1.53023 | + | 0.280432i | ||||
\(736\) | − | 5.29374i | − | 0.195130i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −32.5922 | − | 32.5922i | −1.19973 | − | 1.19973i | ||||
\(739\) | 35.2653 | − | 25.6218i | 1.29726 | − | 0.942512i | 0.297332 | − | 0.954774i | \(-0.403903\pi\) |
0.999925 | + | 0.0122622i | \(0.00390327\pi\) | |||||||
\(740\) | 1.92650 | + | 0.257568i | 0.0708195 | + | 0.00946837i | ||||
\(741\) | −4.39502 | + | 13.5265i | −0.161455 | + | 0.496908i | ||||
\(742\) | 3.99709 | − | 0.633078i | 0.146738 | − | 0.0232410i | ||||
\(743\) | 45.4479 | − | 7.19824i | 1.66732 | − | 0.264078i | 0.749771 | − | 0.661697i | \(-0.230164\pi\) |
0.917550 | + | 0.397619i | \(0.130164\pi\) | |||||||
\(744\) | 4.35759 | − | 13.4113i | 0.159757 | − | 0.491681i | ||||
\(745\) | 26.2695 | − | 20.0735i | 0.962439 | − | 0.735438i | ||||
\(746\) | −7.19810 | + | 5.22973i | −0.263541 | + | 0.191474i | ||||
\(747\) | 39.5030 | + | 39.5030i | 1.44534 | + | 1.44534i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.91432i | 0.179565i | ||||||||
\(750\) | −2.38333 | − | 32.8105i | −0.0870268 | − | 1.19807i | ||||
\(751\) | −1.01334 | − | 3.11873i | −0.0369772 | − | 0.113804i | 0.930864 | − | 0.365366i | \(-0.119056\pi\) |
−0.967841 | + | 0.251561i | \(0.919056\pi\) | |||||||
\(752\) | 2.51052 | + | 4.92717i | 0.0915492 | + | 0.179675i | ||||
\(753\) | −5.50101 | − | 34.7320i | −0.200468 | − | 1.26571i | ||||
\(754\) | −11.6744 | − | 8.48196i | −0.425157 | − | 0.308895i | ||||
\(755\) | −0.359125 | − | 14.8550i | −0.0130699 | − | 0.540630i | ||||
\(756\) | 2.58305 | − | 0.839285i | 0.0939448 | − | 0.0305245i | ||||
\(757\) | 2.92190 | − | 18.4482i | 0.106198 | − | 0.670511i | −0.875950 | − | 0.482402i | \(-0.839764\pi\) |
0.982148 | − | 0.188108i | \(-0.0602356\pi\) | |||||||
\(758\) | −3.21752 | + | 3.21752i | −0.116866 | + | 0.116866i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.53672 | − | 4.57233i | −0.345933 | − | 0.165856i | ||||
\(761\) | 2.04334 | + | 2.81241i | 0.0740708 | + | 0.101950i | 0.844445 | − | 0.535642i | \(-0.179931\pi\) |
−0.770374 | + | 0.637592i | \(0.779931\pi\) | |||||||
\(762\) | 30.9983 | + | 15.7944i | 1.12295 | + | 0.572172i | ||||
\(763\) | −2.19497 | + | 1.11839i | −0.0794631 | + | 0.0404885i | ||||
\(764\) | −6.90931 | + | 9.50985i | −0.249970 | + | 0.344054i | ||||
\(765\) | 29.6816 | + | 54.9297i | 1.07314 | + | 1.98599i | ||||
\(766\) | 6.74141 | + | 2.19042i | 0.243577 | + | 0.0791430i | ||||
\(767\) | −9.96801 | + | 19.5633i | −0.359924 | + | 0.706391i | ||||
\(768\) | 46.2369 | + | 7.32321i | 1.66843 | + | 0.264254i | ||||
\(769\) | −40.6658 | −1.46645 | −0.733223 | − | 0.679989i | \(-0.761985\pi\) | ||||
−0.733223 | + | 0.679989i | \(0.761985\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −35.9215 | −1.29368 | ||||||||
\(772\) | 6.72703 | + | 1.06546i | 0.242111 | + | 0.0383466i | ||||
\(773\) | −19.5714 | + | 38.4111i | −0.703935 | + | 1.38155i | 0.210814 | + | 0.977526i | \(0.432389\pi\) |
−0.914749 | + | 0.404023i | \(0.867611\pi\) | |||||||
\(774\) | 17.6914 | + | 5.74829i | 0.635904 | + | 0.206618i | ||||
\(775\) | −8.22955 | + | 0.398137i | −0.295614 | + | 0.0143015i | ||||
\(776\) | 29.7712 | − | 40.9765i | 1.06872 | − | 1.47097i | ||||
\(777\) | −1.32019 | + | 0.672672i | −0.0473617 | + | 0.0241320i | ||||
\(778\) | 22.9219 | + | 11.6793i | 0.821789 | + | 0.418722i | ||||
\(779\) | 8.18528 | + | 11.2661i | 0.293268 | + | 0.403649i | ||||
\(780\) | −17.5076 | + | 6.16019i | −0.626871 | + | 0.220570i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −4.75407 | + | 4.75407i | −0.170005 | + | 0.170005i | ||||
\(783\) | 3.62118 | − | 22.8632i | 0.129410 | − | 0.817066i | ||||
\(784\) | 8.65105 | − | 2.81090i | 0.308966 | − | 0.100389i | ||||
\(785\) | −2.49003 | + | 2.61341i | −0.0888731 | + | 0.0932766i | ||||
\(786\) | 18.9111 | + | 13.7397i | 0.674537 | + | 0.490080i | ||||
\(787\) | 4.11149 | + | 25.9589i | 0.146559 | + | 0.925337i | 0.945900 | + | 0.324459i | \(0.105182\pi\) |
−0.799341 | + | 0.600878i | \(0.794818\pi\) | |||||||
\(788\) | −1.59272 | − | 3.12588i | −0.0567382 | − | 0.111355i | ||||
\(789\) | 16.7577 | + | 51.5748i | 0.596588 | + | 1.83611i | ||||
\(790\) | −1.75458 | − | 9.57420i | −0.0624252 | − | 0.340635i | ||||
\(791\) | − | 0.789410i | − | 0.0280682i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.1099 | − | 21.1099i | −0.749635 | − | 0.749635i | ||||
\(794\) | −24.8494 | + | 18.0541i | −0.881871 | + | 0.640717i | ||||
\(795\) | −26.9350 | − | 35.2488i | −0.955285 | − | 1.25014i | ||||
\(796\) | −3.47607 | + | 10.6982i | −0.123206 | + | 0.379189i | ||||
\(797\) | 44.0942 | − | 6.98384i | 1.56190 | − | 0.247380i | 0.685176 | − | 0.728378i | \(-0.259725\pi\) |
0.876722 | + | 0.480998i | \(0.159725\pi\) | |||||||
\(798\) | 2.48715 | − | 0.393926i | 0.0880442 | − | 0.0139448i | ||||
\(799\) | −7.12493 | + | 21.9283i | −0.252062 | + | 0.775767i | ||||
\(800\) | −4.75110 | − | 22.8024i | −0.167977 | − | 0.806186i | ||||
\(801\) | 14.5551 | − | 10.5749i | 0.514279 | − | 0.373646i | ||||
\(802\) | −18.2958 | − | 18.2958i | −0.646047 | − | 0.646047i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 9.48776i | 0.334607i | ||||||||
\(805\) | 0.793652 | − | 1.14982i | 0.0279726 | − | 0.0405257i | ||||
\(806\) | −1.72621 | − | 5.31272i | −0.0608031 | − | 0.187133i | ||||
\(807\) | 22.2412 | + | 43.6509i | 0.782928 | + | 1.53658i | ||||
\(808\) | −0.304318 | − | 1.92139i | −0.0107059 | − | 0.0675942i | ||||
\(809\) | −44.5683 | − | 32.3808i | −1.56694 | − | 1.13845i | −0.930016 | − | 0.367520i | \(-0.880207\pi\) |
−0.636923 | − | 0.770928i | \(-0.719793\pi\) | |||||||
\(810\) | 0.882109 | + | 0.840465i | 0.0309942 | + | 0.0295309i | ||||
\(811\) | 12.6852 | − | 4.12167i | 0.445437 | − | 0.144731i | −0.0777056 | − | 0.996976i | \(-0.524759\pi\) |
0.523143 | + | 0.852245i | \(0.324759\pi\) | |||||||
\(812\) | 0.332585 | − | 2.09986i | 0.0116715 | − | 0.0736907i | ||||
\(813\) | 63.2704 | − | 63.2704i | 2.21899 | − | 2.21899i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.79228 | − | 20.4242i | 0.343008 | − | 0.715429i | ||||
\(816\) | −12.7303 | − | 17.5217i | −0.445649 | − | 0.613383i | ||||
\(817\) | −5.00753 | − | 2.55146i | −0.175191 | − | 0.0892644i | ||||
\(818\) | 9.32214 | − | 4.74987i | 0.325941 | − | 0.166075i | ||||
\(819\) | 5.17055 | − | 7.11665i | 0.180673 | − | 0.248676i | ||||
\(820\) | −5.19618 | + | 17.4135i | −0.181459 | + | 0.608105i | ||||
\(821\) | −6.90599 | − | 2.24389i | −0.241021 | − | 0.0783123i | 0.186016 | − | 0.982547i | \(-0.440442\pi\) |
−0.427036 | + | 0.904234i | \(0.640442\pi\) | |||||||
\(822\) | 5.97761 | − | 11.7317i | 0.208493 | − | 0.409191i | ||||
\(823\) | 47.5483 | + | 7.53092i | 1.65743 | + | 0.262511i | 0.913825 | − | 0.406107i | \(-0.133114\pi\) |
0.743605 | + | 0.668619i | \(0.233114\pi\) | |||||||
\(824\) | −6.27805 | −0.218706 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.88746 | 0.135262 | ||||||||
\(827\) | 36.5313 | + | 5.78599i | 1.27032 | + | 0.201199i | 0.754957 | − | 0.655775i | \(-0.227658\pi\) |
0.515361 | + | 0.856973i | \(0.327658\pi\) | |||||||
\(828\) | 2.31082 | − | 4.53524i | 0.0803066 | − | 0.157611i | ||||
\(829\) | 20.2927 | + | 6.59349i | 0.704794 | + | 0.229001i | 0.639418 | − | 0.768859i | \(-0.279175\pi\) |
0.0653757 | + | 0.997861i | \(0.479175\pi\) | |||||||
\(830\) | −7.56855 | + | 25.3637i | −0.262708 | + | 0.880388i | ||||
\(831\) | 12.0170 | − | 16.5400i | 0.416867 | − | 0.573768i | ||||
\(832\) | 21.9232 | − | 11.1704i | 0.760051 | − | 0.387265i | ||||
\(833\) | 33.7929 | + | 17.2183i | 1.17085 | + | 0.596579i | ||||
\(834\) | −39.1144 | − | 53.8364i | −1.35442 | − | 1.86420i | ||||
\(835\) | 13.8412 | − | 28.8693i | 0.478995 | − | 0.999064i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.33630 | − | 6.33630i | 0.219015 | − | 0.219015i | ||||
\(838\) | 1.25156 | − | 7.90206i | 0.0432345 | − | 0.272972i | ||||
\(839\) | 20.3641 | − | 6.61671i | 0.703048 | − | 0.228434i | 0.0643898 | − | 0.997925i | \(-0.479490\pi\) |
0.638658 | + | 0.769491i | \(0.279490\pi\) | |||||||
\(840\) | 7.61718 | + | 7.25757i | 0.262818 | + | 0.250410i | ||||
\(841\) | 8.80200 | + | 6.39503i | 0.303517 | + | 0.220518i | ||||
\(842\) | −3.54221 | − | 22.3646i | −0.122073 | − | 0.770736i | ||||
\(843\) | 7.08862 | + | 13.9122i | 0.244145 | + | 0.479162i | ||||
\(844\) | 3.80538 | + | 11.7117i | 0.130986 | + | 0.403135i | ||||
\(845\) | 3.14081 | − | 4.55030i | 0.108047 | − | 0.156535i | ||||
\(846\) | 20.9772i | 0.721213i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 6.76524 | + | 6.76524i | 0.232319 | + | 0.232319i | ||||
\(849\) | 31.4878 | − | 22.8772i | 1.08066 | − | 0.785145i | ||||
\(850\) | −16.2110 | + | 24.7445i | −0.556034 | + | 0.848731i | ||||
\(851\) | −0.336027 | + | 1.03418i | −0.0115188 | + | 0.0354514i | ||||
\(852\) | −17.3178 | + | 2.74287i | −0.593299 | + | 0.0939693i | ||||
\(853\) | −28.9660 | + | 4.58777i | −0.991779 | + | 0.157082i | −0.631178 | − | 0.775638i | \(-0.717428\pi\) |
−0.360601 | + | 0.932720i | \(0.617428\pi\) | |||||||
\(854\) | −1.63338 | + | 5.02703i | −0.0558932 | + | 0.172021i | ||||
\(855\) | −10.4203 | − | 13.6366i | −0.356367 | − | 0.466363i | ||||
\(856\) | −21.9726 | + | 15.9641i | −0.751009 | + | 0.545640i | ||||
\(857\) | −14.3622 | − | 14.3622i | −0.490604 | − | 0.490604i | 0.417893 | − | 0.908496i | \(-0.362769\pi\) |
−0.908496 | + | 0.417893i | \(0.862769\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 21.7404i | − | 0.741772i | −0.928678 | − | 0.370886i | \(-0.879054\pi\) | ||
0.928678 | − | 0.370886i | \(-0.120946\pi\) | |||||||
\(860\) | −1.32201 | − | 7.21377i | −0.0450800 | − | 0.245988i | ||||
\(861\) | −4.28086 | − | 13.1751i | −0.145891 | − | 0.449007i | ||||
\(862\) | −13.5089 | − | 26.5127i | −0.460114 | − | 0.903025i | ||||
\(863\) | −4.03301 | − | 25.4634i | −0.137285 | − | 0.866785i | −0.956167 | − | 0.292823i | \(-0.905405\pi\) |
0.818882 | − | 0.573963i | \(-0.194595\pi\) | |||||||
\(864\) | 20.4943 | + | 14.8900i | 0.697231 | + | 0.506568i | ||||
\(865\) | 25.5574 | − | 26.8237i | 0.868977 | − | 0.912034i | ||||
\(866\) | −12.3927 | + | 4.02662i | −0.421120 | + | 0.136830i | ||||
\(867\) | 6.63711 | − | 41.9051i | 0.225408 | − | 1.42317i | ||||
\(868\) | 0.581954 | − | 0.581954i | 0.0197528 | − | 0.0197528i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 26.4193 | − | 9.29585i | 0.895697 | − | 0.315159i | ||||
\(871\) | 7.07319 | + | 9.73541i | 0.239666 | + | 0.329872i | ||||
\(872\) | −12.1308 | − | 6.18094i | −0.410800 | − | 0.209313i | ||||
\(873\) | 73.2323 | − | 37.3137i | 2.47854 | − | 1.26288i | ||||
\(874\) | 1.08627 | − | 1.49512i | 0.0367435 | − | 0.0505731i | ||||
\(875\) | 2.38664 | − | 5.66504i | 0.0806833 | − | 0.191513i | ||||
\(876\) | −24.5476 | − | 7.97599i | −0.829385 | − | 0.269484i | ||||
\(877\) | 20.9130 | − | 41.0441i | 0.706183 | − | 1.38596i | −0.206971 | − | 0.978347i | \(-0.566361\pi\) |
0.913154 | − | 0.407615i | \(-0.133639\pi\) | |||||||
\(878\) | −17.4551 | − | 2.76461i | −0.589080 | − | 0.0933011i | ||||
\(879\) | 19.1485 | 0.645864 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.73181 | 0.125728 | 0.0628640 | − | 0.998022i | \(-0.479977\pi\) | ||||
0.0628640 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(882\) | 34.0811 | + | 5.39792i | 1.14757 | + | 0.181758i | ||||
\(883\) | −11.3805 | + | 22.3354i | −0.382983 | + | 0.751647i | −0.999359 | − | 0.0358055i | \(-0.988600\pi\) |
0.616376 | + | 0.787452i | \(0.288600\pi\) | |||||||
\(884\) | 15.8726 | + | 5.15733i | 0.533854 | + | 0.173460i | ||||
\(885\) | −20.2583 | − | 37.4905i | −0.680974 | − | 1.26023i | ||||
\(886\) | 6.79345 | − | 9.35038i | 0.228230 | − | 0.314132i | ||||
\(887\) | −12.6731 | + | 6.45725i | −0.425520 | + | 0.216813i | −0.653617 | − | 0.756825i | \(-0.726749\pi\) |
0.228098 | + | 0.973638i | \(0.426749\pi\) | |||||||
\(888\) | −7.29623 | − | 3.71762i | −0.244845 | − | 0.124755i | ||||
\(889\) | 3.82122 | + | 5.25946i | 0.128160 | + | 0.176397i | ||||
\(890\) | 7.68633 | + | 3.68517i | 0.257646 | + | 0.123527i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.36602 | − | 3.36602i | 0.112703 | − | 0.112703i | ||||
\(893\) | 0.991443 | − | 6.25972i | 0.0331774 | − | 0.209474i | ||||
\(894\) | −41.3750 | + | 13.4436i | −1.38379 | + | 0.449620i | ||||
\(895\) | −1.08010 | − | 44.6779i | −0.0361039 | − | 1.49342i | ||||
\(896\) | 0.619912 | + | 0.450393i | 0.0207098 | + | 0.0150466i | ||||
\(897\) | −1.62435 | − | 10.2557i | −0.0542354 | − | 0.342429i | ||||
\(898\) | −2.14337 | − | 4.20660i | −0.0715252 | − | 0.140376i | ||||
\(899\) | −2.16759 | − | 6.67115i | −0.0722931 | − | 0.222495i | ||||
\(900\) | 5.88333 | − | 21.6092i | 0.196111 | − | 0.720305i | ||||
\(901\) | 39.8915i | 1.32898i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.95331 | + | 3.95331i | 0.131558 | + | 0.131558i | ||||
\(904\) | 3.52956 | − | 2.56438i | 0.117392 | − | 0.0852900i | ||||
\(905\) | 47.7490 | − | 36.4869i | 1.58723 | − | 1.21287i | ||||
\(906\) | −6.04225 | + | 18.5961i | −0.200740 | + | 0.617815i | ||||
\(907\) | −48.5897 | + | 7.69586i | −1.61340 | + | 0.255537i | −0.896958 | − | 0.442115i | \(-0.854228\pi\) |
−0.716437 | + | 0.697652i | \(0.754228\pi\) | |||||||
\(908\) | −13.5216 | + | 2.14160i | −0.448729 | + | 0.0710716i | ||||
\(909\) | 0.975488 | − | 3.00224i | 0.0323549 | − | 0.0995781i | ||||
\(910\) | 4.13106 | + | 0.552310i | 0.136943 | + | 0.0183089i | ||||
\(911\) | −35.0834 | + | 25.4896i | −1.16237 | + | 0.844508i | −0.990075 | − | 0.140538i | \(-0.955117\pi\) |
−0.172290 | + | 0.985046i | \(0.555117\pi\) | |||||||
\(912\) | 4.20960 | + | 4.20960i | 0.139394 | + | 0.139394i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 34.0883i | − | 1.12754i | ||||||
\(915\) | 56.9924 | − | 10.4445i | 1.88411 | − | 0.345285i | ||||
\(916\) | 4.17327 | + | 12.8440i | 0.137889 | + | 0.424378i | ||||
\(917\) | 1.98304 | + | 3.89194i | 0.0654858 | + | 0.128523i | ||||
\(918\) | −5.03299 | − | 31.7770i | −0.166113 | − | 1.04880i | ||||
\(919\) | −18.9392 | − | 13.7602i | −0.624748 | − | 0.453906i | 0.229829 | − | 0.973231i | \(-0.426183\pi\) |
−0.854577 | + | 0.519325i | \(0.826183\pi\) | |||||||
\(920\) | 7.71915 | − | 0.186613i | 0.254493 | − | 0.00615245i | ||||
\(921\) | −20.9922 | + | 6.82077i | −0.691716 | + | 0.224752i | ||||
\(922\) | −3.82915 | + | 24.1763i | −0.126106 | + | 0.796205i | ||||
\(923\) | −15.7250 | + | 15.7250i | −0.517596 | + | 0.517596i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.519235 | + | 4.75625i | −0.0170723 | + | 0.156385i | ||||
\(926\) | −25.3710 | − | 34.9202i | −0.833743 | − | 1.14755i | ||||
\(927\) | −9.07716 | − | 4.62505i | −0.298133 | − | 0.151906i | ||||
\(928\) | 17.6685 | − | 9.00256i | 0.579997 | − | 0.295523i | ||||
\(929\) | 7.44107 | − | 10.2418i | 0.244134 | − | 0.336021i | −0.669312 | − | 0.742981i | \(-0.733411\pi\) |
0.913446 | + | 0.406960i | \(0.133411\pi\) | |||||||
\(930\) | 10.3891 | + | 3.10010i | 0.340671 | + | 0.101656i | ||||
\(931\) | −9.91488 | − | 3.22154i | −0.324947 | − | 0.105582i | ||||
\(932\) | −2.28425 | + | 4.48309i | −0.0748231 | + | 0.146849i | ||||
\(933\) | −46.1479 | − | 7.30911i | −1.51081 | − | 0.239289i | ||||
\(934\) | 29.6798 | 0.971153 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 48.6159 | 1.58906 | ||||||||
\(937\) | 26.2661 | + | 4.16014i | 0.858076 | + | 0.135906i | 0.569943 | − | 0.821684i | \(-0.306965\pi\) |
0.288133 | + | 0.957590i | \(0.406965\pi\) | |||||||
\(938\) | 0.967269 | − | 1.89837i | 0.0315825 | − | 0.0619841i | ||||
\(939\) | 25.5072 | + | 8.28779i | 0.832396 | + | 0.270462i | ||||
\(940\) | 7.27611 | − | 3.93169i | 0.237320 | − | 0.128238i | ||||
\(941\) | −14.0321 | + | 19.3135i | −0.457433 | + | 0.629602i | −0.973974 | − | 0.226660i | \(-0.927219\pi\) |
0.516541 | + | 0.856262i | \(0.327219\pi\) | |||||||
\(942\) | 4.23225 | − | 2.15644i | 0.137894 | − | 0.0702606i | ||||
\(943\) | −9.05866 | − | 4.61562i | −0.294991 | − | 0.150305i | ||||
\(944\) | 5.40205 | + | 7.43528i | 0.175822 | + | 0.241998i | ||||
\(945\) | 2.21907 | + | 6.30671i | 0.0721865 | + | 0.205157i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 38.6416 | − | 38.6416i | 1.25568 | − | 1.25568i | 0.302548 | − | 0.953134i | \(-0.402163\pi\) |
0.953134 | − | 0.302548i | \(-0.0978374\pi\) | |||||||
\(948\) | 1.66729 | − | 10.5269i | 0.0541512 | − | 0.341897i | ||||
\(949\) | −31.1345 | + | 10.1162i | −1.01067 | + | 0.328386i | ||||
\(950\) | 3.33715 | − | 7.41502i | 0.108271 | − | 0.240575i | ||||
\(951\) | 54.9478 | + | 39.9219i | 1.78180 | + | 1.29456i | ||||
\(952\) | −1.48001 | − | 9.34442i | −0.0479674 | − | 0.302854i | ||||
\(953\) | −7.26244 | − | 14.2533i | −0.235254 | − | 0.461711i | 0.742953 | − | 0.669343i | \(-0.233424\pi\) |
−0.978207 | + | 0.207632i | \(0.933424\pi\) | |||||||
\(954\) | 11.2153 | + | 34.5173i | 0.363110 | + | 1.11754i | ||||
\(955\) | −23.8139 | − | 16.4374i | −0.770599 | − | 0.531901i | ||||
\(956\) | − | 22.4544i | − | 0.726229i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.1798 | + | 23.1798i | 0.748904 | + | 0.748904i | ||||
\(959\) | 1.99051 | − | 1.44619i | 0.0642769 | − | 0.0466999i | ||||
\(960\) | −6.32830 | + | 47.3331i | −0.204245 | + | 1.52767i | ||||
\(961\) | −8.74043 | + | 26.9003i | −0.281949 | + | 0.867751i | ||||
\(962\) | −3.20394 | + | 0.507454i | −0.103299 | + | 0.0163610i | ||||
\(963\) | −43.5300 | + | 6.89448i | −1.40274 | + | 0.222172i | ||||
\(964\) | −1.45881 | + | 4.48976i | −0.0469851 | + | 0.144605i | ||||
\(965\) | −2.22177 | + | 16.6180i | −0.0715214 | + | 0.534951i | ||||
\(966\) | −1.48733 | + | 1.08061i | −0.0478542 | + | 0.0347681i | ||||
\(967\) | −37.1649 | − | 37.1649i | −1.19514 | − | 1.19514i | −0.975604 | − | 0.219539i | \(-0.929545\pi\) |
−0.219539 | − | 0.975604i | \(-0.570455\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.8221i | 0.797400i | ||||||||
\(970\) | 32.0483 | + | 22.1211i | 1.02901 | + | 0.710266i | ||||
\(971\) | 6.76484 | + | 20.8200i | 0.217094 | + | 0.668147i | 0.998998 | + | 0.0447481i | \(0.0142485\pi\) |
−0.781904 | + | 0.623398i | \(0.785751\pi\) | |||||||
\(972\) | −6.12206 | − | 12.0152i | −0.196365 | − | 0.385388i | ||||
\(973\) | −1.94526 | − | 12.2819i | −0.0623621 | − | 0.393739i | ||||
\(974\) | 5.80957 | + | 4.22090i | 0.186151 | + | 0.135246i | ||||
\(975\) | −16.2012 | − | 42.7179i | −0.518854 | − | 1.36807i | ||||
\(976\) | −11.8846 | + | 3.86155i | −0.380417 | + | 0.123605i | ||||
\(977\) | −0.0160370 | + | 0.101253i | −0.000513068 | + | 0.00323938i | −0.987944 | − | 0.154815i | \(-0.950522\pi\) |
0.987430 | + | 0.158054i | \(0.0505220\pi\) | |||||||
\(978\) | −21.0754 | + | 21.0754i | −0.673915 | + | 0.673915i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −4.51541 | − | 12.8330i | −0.144239 | − | 0.409935i | ||||
\(981\) | −12.9859 | − | 17.8735i | −0.414607 | − | 0.570658i | ||||
\(982\) | 13.7124 | + | 6.98683i | 0.437581 | + | 0.222959i | ||||
\(983\) | −40.5239 | + | 20.6480i | −1.29251 | + | 0.658568i | −0.958793 | − | 0.284104i | \(-0.908304\pi\) |
−0.333719 | + | 0.942672i | \(0.608304\pi\) | |||||||
\(984\) | 45.0016 | − | 61.9394i | 1.43460 | − | 1.97456i | ||||
\(985\) | 7.59774 | − | 4.10549i | 0.242084 | − | 0.130812i | ||||
\(986\) | −23.9521 | − | 7.78250i | −0.762790 | − | 0.247845i | ||||
\(987\) | −2.86230 | + | 5.61758i | −0.0911080 | + | 0.178810i | ||||
\(988\) | −4.53105 | − | 0.717648i | −0.144152 | − | 0.0228314i | ||||
\(989\) | 4.10309 | 0.130471 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.25030 | −0.230313 | −0.115157 | − | 0.993347i | \(-0.536737\pi\) | ||||
−0.115157 | + | 0.993347i | \(0.536737\pi\) | |||||||
\(992\) | 7.58180 | + | 1.20084i | 0.240722 | + | 0.0381267i | ||||
\(993\) | −16.0636 | + | 31.5266i | −0.509762 | + | 1.00047i | ||||
\(994\) | 3.74470 | + | 1.21673i | 0.118775 | + | 0.0385922i | ||||
\(995\) | −26.5342 | − | 7.91780i | −0.841189 | − | 0.251011i | ||||
\(996\) | −17.0356 | + | 23.4476i | −0.539795 | + | 0.742964i | ||||
\(997\) | 24.8661 | − | 12.6699i | 0.787516 | − | 0.401259i | −0.0134952 | − | 0.999909i | \(-0.504296\pi\) |
0.801011 | + | 0.598650i | \(0.204296\pi\) | |||||||
\(998\) | −24.6455 | − | 12.5575i | −0.780139 | − | 0.397501i | ||||
\(999\) | −3.05860 | − | 4.20981i | −0.0967700 | − | 0.133192i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))