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 | 403.2 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.c.602.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.163444 | − | 1.03195i | −0.115573 | − | 0.729697i | −0.975617 | − | 0.219478i | \(-0.929565\pi\) |
0.860045 | − | 0.510218i | \(-0.170435\pi\) | |||||||
\(3\) | 2.50925 | − | 1.27853i | 1.44872 | − | 0.738158i | 0.459994 | − | 0.887922i | \(-0.347851\pi\) |
0.988722 | + | 0.149764i | \(0.0478515\pi\) | |||||||
\(4\) | 0.863913 | − | 0.280702i | 0.431956 | − | 0.140351i | ||||
\(5\) | −1.84025 | − | 1.27022i | −0.822986 | − | 0.568061i | ||||
\(6\) | −1.72949 | − | 2.38044i | −0.706063 | − | 0.971812i | ||||
\(7\) | −0.249616 | + | 0.489900i | −0.0943461 | + | 0.185165i | −0.933357 | − | 0.358951i | \(-0.883135\pi\) |
0.839010 | + | 0.544115i | \(0.183135\pi\) | |||||||
\(8\) | −1.37954 | − | 2.70750i | −0.487741 | − | 0.957245i | ||||
\(9\) | 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 | ||||
\(13\) | −3.20464 | + | 0.507565i | −0.888808 | + | 0.140773i | −0.584109 | − | 0.811675i | \(-0.698556\pi\) |
−0.304699 | + | 0.952449i | \(0.598556\pi\) | |||||||
\(14\) | 0.546349 | + | 0.177519i | 0.146018 | + | 0.0474441i | ||||
\(15\) | −6.24167 | − | 0.834494i | −1.61159 | − | 0.215465i | ||||
\(16\) | −1.09874 | + | 0.798281i | −0.274685 | + | 0.199570i | ||||
\(17\) | 5.59292 | + | 0.885832i | 1.35648 | + | 0.214846i | 0.791961 | − | 0.610572i | \(-0.209060\pi\) |
0.564523 | + | 0.825418i | \(0.309060\pi\) | |||||||
\(18\) | −4.59040 | − | 2.33892i | −1.08197 | − | 0.551290i | ||||
\(19\) | −0.480992 | + | 1.48034i | −0.110347 | + | 0.339614i | −0.990948 | − | 0.134245i | \(-0.957139\pi\) |
0.880601 | + | 0.473859i | \(0.157139\pi\) | |||||||
\(20\) | −1.94637 | − | 0.580799i | −0.435222 | − | 0.129871i | ||||
\(21\) | 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 | ||||
\(25\) | 1.77307 | + | 4.67507i | 0.354613 | + | 0.935013i | ||||
\(26\) | 1.04756 | + | 3.22406i | 0.205444 | + | 0.632290i | ||||
\(27\) | 0.850687 | − | 5.37102i | 0.163715 | − | 1.03365i | ||||
\(28\) | −0.0781308 | + | 0.493299i | −0.0147653 | + | 0.0932247i | ||||
\(29\) | −1.31542 | − | 4.04843i | −0.244267 | − | 0.751775i | −0.995756 | − | 0.0920302i | \(-0.970664\pi\) |
0.751490 | − | 0.659745i | \(-0.229336\pi\) | |||||||
\(30\) | 0.159012 | + | 6.57746i | 0.0290316 | + | 1.20088i | ||||
\(31\) | 1.33313 | + | 0.968573i | 0.239437 | + | 0.173961i | 0.701032 | − | 0.713130i | \(-0.252723\pi\) |
−0.461596 | + | 0.887090i | \(0.652723\pi\) | |||||||
\(32\) | −3.29400 | − | 3.29400i | −0.582302 | − | 0.582302i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 5.91638i | − | 1.01465i | ||||||
\(35\) | 1.08164 | − | 0.584471i | 0.182830 | − | 0.0987937i | ||||
\(36\) | 1.38413 | − | 4.25992i | 0.230689 | − | 0.709987i | ||||
\(37\) | 0.852606 | + | 0.434424i | 0.140168 | + | 0.0714189i | 0.522668 | − | 0.852536i | \(-0.324937\pi\) |
−0.382500 | + | 0.923955i | \(0.624937\pi\) | |||||||
\(38\) | 1.60625 | + | 0.254405i | 0.260568 | + | 0.0412699i | ||||
\(39\) | −7.39231 | + | 5.37083i | −1.18372 | + | 0.860021i | ||||
\(40\) | −0.900425 | + | 6.73481i | −0.142370 | + | 1.06487i | ||||
\(41\) | 8.50874 | + | 2.76466i | 1.32884 | + | 0.431767i | 0.885522 | − | 0.464597i | \(-0.153801\pi\) |
0.443320 | + | 0.896364i | \(0.353801\pi\) | |||||||
\(42\) | 1.59789 | − | 0.253081i | 0.246560 | − | 0.0390512i | ||||
\(43\) | 2.55312 | − | 2.55312i | 0.389348 | − | 0.389348i | −0.485107 | − | 0.874455i | \(-0.661219\pi\) |
0.874455 | + | 0.485107i | \(0.161219\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −10.4009 | + | 3.65965i | −1.55048 | + | 0.545549i | ||||
\(46\) | −0.697879 | + | 0.960548i | −0.102897 | + | 0.141625i | ||||
\(47\) | 1.84853 | + | 3.62794i | 0.269636 | + | 0.529190i | 0.985630 | − | 0.168916i | \(-0.0540266\pi\) |
−0.715995 | + | 0.698105i | \(0.754027\pi\) | |||||||
\(48\) | −1.73639 | + | 3.40786i | −0.250626 | + | 0.491882i | ||||
\(49\) | 3.93680 | + | 5.41855i | 0.562400 | + | 0.774078i | ||||
\(50\) | 4.53462 | − | 2.59382i | 0.641292 | − | 0.366822i | ||||
\(51\) | 15.1666 | − | 4.92793i | 2.12375 | − | 0.690048i | ||||
\(52\) | −2.62606 | + | 1.33804i | −0.364169 | + | 0.185553i | ||||
\(53\) | −1.10203 | − | 6.95794i | −0.151375 | − | 0.955747i | −0.940075 | − | 0.340968i | \(-0.889245\pi\) |
0.788700 | − | 0.614779i | \(-0.210755\pi\) | |||||||
\(54\) | −5.68165 | −0.773175 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.67076 | 0.223264 | ||||||||
\(57\) | 0.685727 | + | 4.32951i | 0.0908268 | + | 0.573458i | ||||
\(58\) | −3.96277 | + | 2.01913i | −0.520337 | + | 0.265125i | ||||
\(59\) | 6.43589 | − | 2.09115i | 0.837882 | − | 0.272244i | 0.141520 | − | 0.989935i | \(-0.454801\pi\) |
0.696362 | + | 0.717691i | \(0.254801\pi\) | |||||||
\(60\) | −5.62650 | + | 1.03112i | −0.726378 | + | 0.133117i | ||||
\(61\) | 5.40829 | + | 7.44388i | 0.692461 | + | 0.953091i | 0.999999 | + | 0.00155512i | \(0.000495009\pi\) |
−0.307538 | + | 0.951536i | \(0.599505\pi\) | |||||||
\(62\) | 0.781624 | − | 1.53402i | 0.0992663 | − | 0.194821i | ||||
\(63\) | 1.23085 | + | 2.41568i | 0.155072 | + | 0.304347i | ||||
\(64\) | −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 | \(0.322746\pi\) | |||||||
\(68\) | 5.08045 | − | 0.804665i | 0.616096 | − | 0.0975800i | ||||
\(69\) | −3.04364 | − | 0.988939i | −0.366411 | − | 0.119054i | ||||
\(70\) | −0.779931 | − | 1.02067i | −0.0932196 | − | 0.121993i | ||||
\(71\) | −5.54504 | + | 4.02871i | −0.658075 | + | 0.478119i | −0.866012 | − | 0.500023i | \(-0.833325\pi\) |
0.207937 | + | 0.978142i | \(0.433325\pi\) | |||||||
\(72\) | −14.7992 | − | 2.34397i | −1.74411 | − | 0.276239i | ||||
\(73\) | −8.98993 | − | 4.58060i | −1.05219 | − | 0.536118i | −0.159692 | − | 0.987167i | \(-0.551050\pi\) |
−0.892499 | + | 0.451048i | \(0.851050\pi\) | |||||||
\(74\) | 0.308949 | − | 0.950848i | 0.0359146 | − | 0.110534i | ||||
\(75\) | 10.4263 | + | 9.46399i | 1.20392 | + | 1.09281i | ||||
\(76\) | 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 | \(-0.375304\pi\) |
−0.761026 | + | 0.648721i | \(0.775304\pi\) | |||||||
\(80\) | 3.03596 | − | 0.0733952i | 0.339430 | − | 0.00820583i | ||||
\(81\) | −0.161157 | − | 0.495991i | −0.0179064 | − | 0.0551101i | ||||
\(82\) | 1.46227 | − | 9.23244i | 0.161481 | − | 1.01955i | ||||
\(83\) | 1.77233 | − | 11.1901i | 0.194539 | − | 1.22827i | −0.676272 | − | 0.736652i | \(-0.736405\pi\) |
0.870811 | − | 0.491619i | \(-0.163595\pi\) | |||||||
\(84\) | 0.434646 | + | 1.33770i | 0.0474237 | + | 0.145955i | ||||
\(85\) | −9.16719 | − | 8.73442i | −0.994322 | − | 0.947381i | ||||
\(86\) | −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 | \(0.938057\pi\) | |||||||
\(90\) | 5.47654 | + | 10.1350i | 0.577278 | + | 1.06833i | ||||
\(91\) | 0.551275 | − | 1.69665i | 0.0577893 | − | 0.177857i | ||||
\(92\) | −0.919747 | − | 0.468635i | −0.0958903 | − | 0.0488586i | ||||
\(93\) | 4.58349 | + | 0.725954i | 0.475286 | + | 0.0752779i | ||||
\(94\) | 3.44171 | − | 2.50055i | 0.354985 | − | 0.257912i | ||||
\(95\) | 2.76551 | − | 2.11324i | 0.283736 | − | 0.216814i | ||||
\(96\) | −12.4769 | − | 4.05400i | −1.27342 | − | 0.413760i | ||||
\(97\) | −16.4630 | + | 2.60749i | −1.67157 | + | 0.264750i | −0.919142 | − | 0.393927i | \(-0.871116\pi\) |
−0.752426 | + | 0.658677i | \(0.771116\pi\) | |||||||
\(98\) | 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 | −0.789885 | − | 0.613255i | \(-0.789860\pi\) |
0.827328 | + | 0.561719i | \(0.189860\pi\) | |||||||
\(102\) | −7.56425 | − | 14.8457i | −0.748973 | − | 1.46994i | ||||
\(103\) | −0.937960 | + | 1.84085i | −0.0924199 | + | 0.181384i | −0.932589 | − | 0.360940i | \(-0.882456\pi\) |
0.840169 | + | 0.542325i | \(0.182456\pi\) | |||||||
\(104\) | 5.79516 | + | 7.97636i | 0.568262 | + | 0.782146i | ||||
\(105\) | 1.96684 | − | 2.84949i | 0.191944 | − | 0.278082i | ||||
\(106\) | −7.00011 | + | 2.27447i | −0.679910 | + | 0.220916i | ||||
\(107\) | 7.96376 | − | 4.05774i | 0.769886 | − | 0.392276i | −0.0244924 | − | 0.999700i | \(-0.507797\pi\) |
0.794378 | + | 0.607424i | \(0.207797\pi\) | |||||||
\(108\) | −0.772740 | − | 4.87889i | −0.0743569 | − | 0.469471i | ||||
\(109\) | −4.48044 | −0.429148 | −0.214574 | − | 0.976708i | \(-0.568836\pi\) | ||||
−0.214574 | + | 0.976708i | \(0.568836\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.69482 | 0.255781 | ||||||||
\(112\) | −0.116814 | − | 0.737536i | −0.0110379 | − | 0.0696906i | ||||
\(113\) | 1.27925 | − | 0.651813i | 0.120342 | − | 0.0613174i | −0.392783 | − | 0.919631i | \(-0.628488\pi\) |
0.513125 | + | 0.858314i | \(0.328488\pi\) | |||||||
\(114\) | 4.35575 | − | 1.41527i | 0.407953 | − | 0.132552i | ||||
\(115\) | 0.458044 | + | 2.49940i | 0.0427128 | + | 0.233070i | ||||
\(116\) | −2.27281 | − | 3.12825i | −0.211025 | − | 0.290451i | ||||
\(117\) | −7.26337 | + | 14.2552i | −0.671499 | + | 1.31789i | ||||
\(118\) | −3.20986 | − | 6.29971i | −0.295492 | − | 0.579935i | ||||
\(119\) | −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 | ||||
\(123\) | 24.8852 | − | 3.94144i | 2.24383 | − | 0.355387i | ||||
\(124\) | 1.42359 | + | 0.462551i | 0.127842 | + | 0.0415383i | ||||
\(125\) | 2.67548 | − | 10.8555i | 0.239302 | − | 0.970945i | ||||
\(126\) | 2.29168 | − | 1.66500i | 0.204159 | − | 0.148330i | ||||
\(127\) | 11.6782 | + | 1.84965i | 1.03628 | + | 0.164130i | 0.651318 | − | 0.758804i | \(-0.274216\pi\) |
0.384957 | + | 0.922934i | \(0.374216\pi\) | |||||||
\(128\) | −1.24173 | − | 0.632693i | −0.109754 | − | 0.0559227i | ||||
\(129\) | 3.14219 | − | 9.67066i | 0.276654 | − | 0.851454i | ||||
\(130\) | 2.16750 | − | 7.26373i | 0.190102 | − | 0.637071i | ||||
\(131\) | 7.94436i | 0.694102i | 0.937846 | + | 0.347051i | \(0.112817\pi\) | ||||
−0.937846 | + | 0.347051i | \(0.887183\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.605156 | − | 0.605156i | −0.0524737 | − | 0.0524737i | ||||
\(134\) | 3.13496 | + | 2.27768i | 0.270819 | + | 0.196762i | ||||
\(135\) | −8.38788 | + | 8.80349i | −0.721914 | + | 0.757683i | ||||
\(136\) | −5.31727 | − | 16.3649i | −0.455952 | − | 1.40328i | ||||
\(137\) | −0.700024 | + | 4.41978i | −0.0598071 | + | 0.377607i | 0.939571 | + | 0.342353i | \(0.111224\pi\) |
−0.999378 | + | 0.0352537i | \(0.988776\pi\) | |||||||
\(138\) | −0.523067 | + | 3.30251i | −0.0445264 | + | 0.281128i | ||||
\(139\) | 6.98877 | + | 21.5092i | 0.592779 | + | 1.82439i | 0.565483 | + | 0.824760i | \(0.308690\pi\) |
0.0272966 | + | 0.999627i | \(0.491310\pi\) | |||||||
\(140\) | 0.770380 | − | 0.808551i | 0.0651090 | − | 0.0683350i | ||||
\(141\) | 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 | ||||||||
\(145\) | −2.72171 | + | 9.12101i | −0.226026 | + | 0.757459i | ||||
\(146\) | −3.25758 | + | 10.0258i | −0.269599 | + | 0.829741i | ||||
\(147\) | 16.8062 | + | 8.56317i | 1.38615 | + | 0.706279i | ||||
\(148\) | 0.858521 | + | 0.135976i | 0.0705700 | + | 0.0111772i | ||||
\(149\) | −11.9616 | + | 8.69061i | −0.979932 | + | 0.711962i | −0.957693 | − | 0.287790i | \(-0.907079\pi\) |
−0.0222386 | + | 0.999753i | \(0.507079\pi\) | |||||||
\(150\) | 8.06222 | − | 12.3062i | 0.658278 | − | 1.00480i | ||||
\(151\) | 6.32007 | + | 2.05352i | 0.514320 | + | 0.167113i | 0.554666 | − | 0.832073i | \(-0.312846\pi\) |
−0.0403460 | + | 0.999186i | \(0.512846\pi\) | |||||||
\(152\) | 4.67157 | − | 0.739904i | 0.378915 | − | 0.0600142i | ||||
\(153\) | 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 | ||||
\(157\) | 0.732887 | + | 1.43837i | 0.0584908 | + | 0.114795i | 0.918401 | − | 0.395650i | \(-0.129481\pi\) |
−0.859911 | + | 0.510445i | \(0.829481\pi\) | |||||||
\(158\) | −1.97623 | + | 3.87857i | −0.157220 | + | 0.308562i | ||||
\(159\) | −11.6612 | − | 16.0502i | −0.924792 | − | 1.27287i | ||||
\(160\) | 1.87768 | + | 10.2459i | 0.148444 | + | 0.810010i | ||||
\(161\) | 0.594233 | − | 0.193078i | 0.0468321 | − | 0.0152167i | ||||
\(162\) | −0.485496 | + | 0.247373i | −0.0381442 | + | 0.0194354i | ||||
\(163\) | 1.58461 | + | 10.0048i | 0.124116 | + | 0.783638i | 0.968704 | + | 0.248221i | \(0.0798458\pi\) |
−0.844587 | + | 0.535418i | \(0.820154\pi\) | |||||||
\(164\) | 8.12686 | 0.634601 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.8372 | −0.918749 | ||||||||
\(167\) | −2.23982 | − | 14.1417i | −0.173322 | − | 1.09431i | −0.908943 | − | 0.416921i | \(-0.863109\pi\) |
0.735621 | − | 0.677394i | \(-0.236891\pi\) | |||||||
\(168\) | 4.19235 | − | 2.13611i | 0.323447 | − | 0.164804i | ||||
\(169\) | −2.35163 | + | 0.764090i | −0.180894 | + | 0.0587761i | ||||
\(170\) | −7.51513 | + | 10.8876i | −0.576384 | + | 0.835044i | ||||
\(171\) | 4.51135 | + | 6.20934i | 0.344991 | + | 0.474840i | ||||
\(172\) | 1.48901 | − | 2.92234i | 0.113536 | − | 0.222827i | ||||
\(173\) | 7.52226 | + | 14.7633i | 0.571907 | + | 1.12243i | 0.978001 | + | 0.208599i | \(0.0668904\pi\) |
−0.406094 | + | 0.913831i | \(0.633110\pi\) | |||||||
\(174\) | −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 | ||||
\(178\) | 3.76516 | − | 0.596342i | 0.282210 | − | 0.0446977i | ||||
\(179\) | −19.0082 | − | 6.17614i | −1.42074 | − | 0.461627i | −0.504903 | − | 0.863176i | \(-0.668472\pi\) |
−0.915837 | + | 0.401549i | \(0.868472\pi\) | |||||||
\(180\) | −7.95821 | + | 6.08118i | −0.593170 | + | 0.453265i | ||||
\(181\) | 21.7421 | − | 15.7966i | 1.61608 | − | 1.17415i | 0.779162 | − | 0.626823i | \(-0.215645\pi\) |
0.836918 | − | 0.547328i | \(-0.184355\pi\) | |||||||
\(182\) | −1.84095 | − | 0.291579i | −0.136461 | − | 0.0216132i | ||||
\(183\) | 23.0880 | + | 11.7639i | 1.70671 | + | 0.869613i | ||||
\(184\) | −1.06707 | + | 3.28411i | −0.0786656 | + | 0.242108i | ||||
\(185\) | −1.01720 | − | 1.88245i | −0.0747857 | − | 0.138401i | ||||
\(186\) | − | 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 | ||||
\(190\) | −2.63276 | − | 2.50847i | −0.191000 | − | 0.181983i | ||||
\(191\) | 3.99885 | + | 12.3072i | 0.289346 | + | 0.890517i | 0.985062 | + | 0.172200i | \(0.0550874\pi\) |
−0.695716 | + | 0.718317i | \(0.744913\pi\) | |||||||
\(192\) | −3.34087 | + | 21.0934i | −0.241106 | + | 1.52229i | ||||
\(193\) | 1.17293 | − | 7.40559i | 0.0844294 | − | 0.533066i | −0.908831 | − | 0.417164i | \(-0.863024\pi\) |
0.993261 | − | 0.115902i | \(-0.0369759\pi\) | |||||||
\(194\) | 5.38158 | + | 16.5628i | 0.386375 | + | 1.18914i | ||||
\(195\) | 20.4259 | − | 0.493802i | 1.46273 | − | 0.0353619i | ||||
\(196\) | 4.92205 | + | 3.57608i | 0.351575 | + | 0.255434i | ||||
\(197\) | −2.73095 | − | 2.73095i | −0.194572 | − | 0.194572i | 0.603096 | − | 0.797668i | \(-0.293933\pi\) |
−0.797668 | + | 0.603096i | \(0.793933\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 12.3835i | − | 0.877842i | −0.898526 | − | 0.438921i | \(-0.855361\pi\) | ||
0.898526 | − | 0.438921i | \(-0.144639\pi\) | |||||||
\(200\) | 10.2117 | − | 11.2500i | 0.722077 | − | 0.795496i | ||||
\(201\) | −3.22762 | + | 9.93359i | −0.227659 | + | 0.700662i | ||||
\(202\) | −0.595972 | − | 0.303663i | −0.0419325 | − | 0.0213657i | ||||
\(203\) | 2.31167 | + | 0.366133i | 0.162248 | + | 0.0256975i | ||||
\(204\) | 11.7193 | − | 8.51460i | 0.820518 | − | 0.596141i | ||||
\(205\) | −12.1465 | − | 15.8957i | −0.848349 | − | 1.11020i | ||||
\(206\) | 2.05296 | + | 0.667048i | 0.143037 | + | 0.0464754i | ||||
\(207\) | −5.53447 | + | 0.876574i | −0.384672 | + | 0.0609261i | ||||
\(208\) | 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 | −0.989817 | − | 0.142347i | \(-0.954535\pi\) |
0.441251 | + | 0.897384i | \(0.354535\pi\) | |||||||
\(212\) | −2.90517 | − | 5.70171i | −0.199528 | − | 0.391595i | ||||
\(213\) | −8.76308 | + | 17.1985i | −0.600436 | + | 1.17842i | ||||
\(214\) | −5.48900 | − | 7.55496i | −0.375220 | − | 0.516447i | ||||
\(215\) | −7.94143 | + | 1.45536i | −0.541601 | + | 0.0992546i | ||||
\(216\) | −15.7156 | + | 5.10631i | −1.06931 | + | 0.347440i | ||||
\(217\) | −0.807274 | + | 0.411327i | −0.0548013 | + | 0.0279227i | ||||
\(218\) | 0.732302 | + | 4.62357i | 0.0495978 | + | 0.313148i | ||||
\(219\) | −28.4144 | −1.92007 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.3729 | −1.23590 | ||||||||
\(222\) | −0.440454 | − | 2.78092i | −0.0295613 | − | 0.186643i | ||||
\(223\) | 4.66927 | − | 2.37911i | 0.312677 | − | 0.159317i | −0.290609 | − | 0.956842i | \(-0.593858\pi\) |
0.603286 | + | 0.797525i | \(0.293858\pi\) | |||||||
\(224\) | 2.43596 | − | 0.791493i | 0.162760 | − | 0.0528839i | ||||
\(225\) | 23.7889 | + | 6.47679i | 1.58593 | + | 0.431786i | ||||
\(226\) | −0.881723 | − | 1.21359i | −0.0586513 | − | 0.0807267i | ||||
\(227\) | 6.84211 | − | 13.4284i | 0.454127 | − | 0.891274i | −0.544494 | − | 0.838765i | \(-0.683278\pi\) |
0.998620 | − | 0.0525088i | \(-0.0167218\pi\) | |||||||
\(228\) | 1.80771 | + | 3.54783i | 0.119719 | + | 0.234961i | ||||
\(229\) | 8.73876 | − | 12.0279i | 0.577473 | − | 0.794824i | −0.415942 | − | 0.909391i | \(-0.636548\pi\) |
0.993415 | + | 0.114567i | \(0.0365481\pi\) | |||||||
\(230\) | 2.50438 | − | 0.881190i | 0.165134 | − | 0.0581040i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.14646 | + | 9.14646i | −0.600494 | + | 0.600494i | ||||
\(233\) | −5.47083 | + | 0.866494i | −0.358406 | + | 0.0567659i | −0.333041 | − | 0.942912i | \(-0.608075\pi\) |
−0.0253648 | + | 0.999678i | \(0.508075\pi\) | |||||||
\(234\) | 15.8977 | + | 5.16549i | 1.03927 | + | 0.337678i | ||||
\(235\) | 1.20653 | − | 9.02437i | 0.0787056 | − | 0.588685i | ||||
\(236\) | 4.97306 | − | 3.61314i | 0.323719 | − | 0.235195i | ||||
\(237\) | −11.5887 | − | 1.83547i | −0.752769 | − | 0.119227i | ||||
\(238\) | 2.89843 | + | 1.47683i | 0.187878 | + | 0.0957284i | ||||
\(239\) | −7.63873 | + | 23.5096i | −0.494108 | + | 1.52071i | 0.324234 | + | 0.945977i | \(0.394894\pi\) |
−0.818342 | + | 0.574732i | \(0.805106\pi\) | |||||||
\(240\) | 7.52413 | − | 4.06572i | 0.485681 | − | 0.262441i | ||||
\(241\) | 5.19700i | 0.334768i | 0.985892 | + | 0.167384i | \(0.0535320\pi\) | ||||
−0.985892 | + | 0.167384i | \(0.946468\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.4972 | + | 10.4972i | 0.673394 | + | 0.673394i | ||||
\(244\) | 6.76181 | + | 4.91274i | 0.432881 | + | 0.314506i | ||||
\(245\) | −0.361956 | − | 14.9721i | −0.0231245 | − | 0.956533i | ||||
\(246\) | −8.13470 | − | 25.0360i | −0.518650 | − | 1.59624i | ||||
\(247\) | 0.790038 | − | 4.98810i | 0.0502689 | − | 0.317385i | ||||
\(248\) | 0.783310 | − | 4.94562i | 0.0497402 | − | 0.314047i | ||||
\(249\) | −9.85959 | − | 30.3447i | −0.624826 | − | 1.92302i | ||||
\(250\) | −11.6396 | − | 0.986687i | −0.736152 | − | 0.0624036i | ||||
\(251\) | −10.1019 | − | 7.33949i | −0.637629 | − | 0.463264i | 0.221406 | − | 0.975182i | \(-0.428935\pi\) |
−0.859035 | + | 0.511917i | \(0.828935\pi\) | |||||||
\(252\) | 1.74143 | + | 1.74143i | 0.109700 | + | 0.109700i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 12.3536i | − | 0.775136i | ||||||
\(255\) | −34.1700 | − | 10.1963i | −2.13981 | − | 0.638519i | ||||
\(256\) | −5.13675 | + | 15.8093i | −0.321047 | + | 0.988080i | ||||
\(257\) | −11.3651 | − | 5.79079i | −0.708933 | − | 0.361220i | 0.0620515 | − | 0.998073i | \(-0.480236\pi\) |
−0.770985 | + | 0.636853i | \(0.780236\pi\) | |||||||
\(258\) | −10.4932 | − | 1.66196i | −0.653277 | − | 0.103469i | ||||
\(259\) | −0.425649 | + | 0.309252i | −0.0264485 | + | 0.0192160i | ||||
\(260\) | 6.53222 | + | 0.873340i | 0.405111 | + | 0.0541622i | ||||
\(261\) | −19.9627 | − | 6.48627i | −1.23566 | − | 0.401490i | ||||
\(262\) | 8.19815 | − | 1.29846i | 0.506484 | − | 0.0802191i | ||||
\(263\) | −13.6161 | + | 13.6161i | −0.839605 | + | 0.839605i | −0.988807 | − | 0.149202i | \(-0.952330\pi\) |
0.149202 | + | 0.988807i | \(0.452330\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.81012 | + | 14.2042i | −0.418343 | + | 0.872557i | ||||
\(266\) | −0.525579 | + | 0.723398i | −0.0322253 | + | 0.0443544i | ||||
\(267\) | 4.66483 | + | 9.15524i | 0.285483 | + | 0.560291i | ||||
\(268\) | −1.52949 | + | 3.00180i | −0.0934286 | + | 0.183364i | ||||
\(269\) | −10.2251 | − | 14.0736i | −0.623436 | − | 0.858086i | 0.374162 | − | 0.927363i | \(-0.377930\pi\) |
−0.997597 | + | 0.0692779i | \(0.977930\pi\) | |||||||
\(270\) | 10.4557 | + | 7.21697i | 0.636312 | + | 0.439211i | ||||
\(271\) | −30.2175 | + | 9.81827i | −1.83558 | + | 0.596417i | −0.836779 | + | 0.547540i | \(0.815564\pi\) |
−0.998805 | + | 0.0488774i | \(0.984436\pi\) | |||||||
\(272\) | −6.85231 | + | 3.49143i | −0.415482 | + | 0.211699i | ||||
\(273\) | −0.785925 | − | 4.96214i | −0.0475664 | − | 0.300322i | ||||
\(274\) | 4.67539 | 0.282451 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.90704 | −0.174983 | ||||||||
\(277\) | 1.13566 | + | 7.17028i | 0.0682352 | + | 0.430820i | 0.998030 | + | 0.0627414i | \(0.0199843\pi\) |
−0.929795 | + | 0.368079i | \(0.880016\pi\) | |||||||
\(278\) | 21.0541 | − | 10.7276i | 1.26274 | − | 0.643398i | ||||
\(279\) | 7.72773 | − | 2.51089i | 0.462647 | − | 0.150323i | ||||
\(280\) | −3.07462 | − | 2.12224i | −0.183744 | − | 0.126828i | ||||
\(281\) | 3.25890 | + | 4.48549i | 0.194410 | + | 0.267582i | 0.895082 | − | 0.445901i | \(-0.147117\pi\) |
−0.700673 | + | 0.713483i | \(0.747117\pi\) | |||||||
\(282\) | 5.43909 | − | 10.6748i | 0.323893 | − | 0.635676i | ||||
\(283\) | −6.27435 | − | 12.3141i | −0.372971 | − | 0.731997i | 0.625880 | − | 0.779920i | \(-0.284740\pi\) |
−0.998851 | + | 0.0479222i | \(0.984740\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | −22.6877 | + | 3.59338i | −1.33688 | + | 0.211742i | ||||
\(289\) | 14.3281 | + | 4.65550i | 0.842832 | + | 0.273853i | ||||
\(290\) | 9.85725 | + | 1.31789i | 0.578838 | + | 0.0773890i | ||||
\(291\) | −37.9761 | + | 27.5913i | −2.22620 | + | 1.61743i | ||||
\(292\) | −9.05230 | − | 1.43374i | −0.529746 | − | 0.0839035i | ||||
\(293\) | −6.05833 | − | 3.08688i | −0.353932 | − | 0.180337i | 0.267980 | − | 0.963424i | \(-0.413644\pi\) |
−0.621912 | + | 0.783087i | \(0.713644\pi\) | |||||||
\(294\) | 6.08987 | − | 18.7427i | 0.355168 | − | 1.09310i | ||||
\(295\) | −14.4999 | − | 4.32677i | −0.844216 | − | 0.251915i | ||||
\(296\) | − | 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 | ||||
\(300\) | 11.6639 | + | 5.24939i | 0.673418 | + | 0.303074i | ||||
\(301\) | 0.613473 | + | 1.88808i | 0.0353600 | + | 0.108827i | ||||
\(302\) | 1.08614 | − | 6.85761i | 0.0625003 | − | 0.394611i | ||||
\(303\) | 0.282035 | − | 1.78070i | 0.0162025 | − | 0.102299i | ||||
\(304\) | −0.653244 | − | 2.01048i | −0.0374661 | − | 0.115309i | ||||
\(305\) | −0.497247 | − | 20.5684i | −0.0284723 | − | 1.17774i | ||||
\(306\) | −23.6018 | − | 17.1477i | −1.34923 | − | 0.980271i | ||||
\(307\) | −5.54209 | − | 5.54209i | −0.316304 | − | 0.316304i | 0.531042 | − | 0.847346i | \(-0.321801\pi\) |
−0.847346 | + | 0.531042i | \(0.821801\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.81836i | 0.330995i | ||||||||
\(310\) | −3.38694 | + | 1.83016i | −0.192365 | + | 0.103946i | ||||
\(311\) | 5.12686 | − | 15.7788i | 0.290717 | − | 0.894736i | −0.693909 | − | 0.720063i | \(-0.744113\pi\) |
0.984626 | − | 0.174674i | \(-0.0558870\pi\) | |||||||
\(312\) | 24.7395 | + | 12.6054i | 1.40060 | + | 0.713640i | ||||
\(313\) | −9.40618 | − | 1.48979i | −0.531669 | − | 0.0842080i | −0.115172 | − | 0.993346i | \(-0.536742\pi\) |
−0.416496 | + | 0.909137i | \(0.636742\pi\) | |||||||
\(314\) | 1.36454 | − | 0.991394i | 0.0770053 | − | 0.0559476i | ||||
\(315\) | 0.803375 | − | 6.00891i | 0.0452650 | − | 0.338564i | ||||
\(316\) | −3.59934 | − | 1.16950i | −0.202479 | − | 0.0657893i | ||||
\(317\) | 23.8204 | − | 3.77278i | 1.33789 | − | 0.211901i | 0.553852 | − | 0.832615i | \(-0.313157\pi\) |
0.784037 | + | 0.620715i | \(0.213157\pi\) | |||||||
\(318\) | −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 | ||||
\(322\) | −0.296370 | − | 0.581659i | −0.0165161 | − | 0.0324146i | ||||
\(323\) | −4.00149 | + | 7.85337i | −0.222649 | + | 0.436973i | ||||
\(324\) | −0.278452 | − | 0.383256i | −0.0154695 | − | 0.0212920i | ||||
\(325\) | −8.05495 | − | 14.0820i | −0.446808 | − | 0.781127i | ||||
\(326\) | 10.0655 | − | 3.27046i | 0.557474 | − | 0.181134i | ||||
\(327\) | −11.2425 | + | 5.72836i | −0.621714 | + | 0.316779i | ||||
\(328\) | −4.25284 | − | 26.8514i | −0.234824 | − | 1.48262i | ||||
\(329\) | −2.23875 | −0.123426 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5641 | 0.690587 | 0.345294 | − | 0.938495i | \(-0.387779\pi\) | ||||
0.345294 | + | 0.938495i | \(0.387779\pi\) | |||||||
\(332\) | −1.60994 | − | 10.1648i | −0.0883569 | − | 0.557863i | ||||
\(333\) | 4.20417 | − | 2.14213i | 0.230387 | − | 0.117388i | ||||
\(334\) | −14.2274 | + | 4.62275i | −0.778486 | + | 0.252946i | ||||
\(335\) | 8.15735 | − | 1.49493i | 0.445683 | − | 0.0816766i | ||||
\(336\) | −1.23608 | − | 1.70131i | −0.0674335 | − | 0.0928142i | ||||
\(337\) | −7.47973 | + | 14.6798i | −0.407447 | + | 0.799660i | −0.999983 | − | 0.00588436i | \(-0.998127\pi\) |
0.592536 | + | 0.805544i | \(0.298127\pi\) | |||||||
\(338\) | 1.17286 | + | 2.30187i | 0.0637952 | + | 0.125205i | ||||
\(339\) | 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 | ||||
\(343\) | −7.43864 | + | 1.17816i | −0.401649 | + | 0.0636149i | ||||
\(344\) | −10.4347 | − | 3.39044i | −0.562602 | − | 0.182800i | ||||
\(345\) | 4.34490 | + | 5.68600i | 0.233921 | + | 0.306124i | ||||
\(346\) | 14.0054 | − | 10.1755i | 0.752937 | − | 0.547041i | ||||
\(347\) | −14.0646 | − | 2.22762i | −0.755029 | − | 0.119585i | −0.232958 | − | 0.972487i | \(-0.574840\pi\) |
−0.522071 | + | 0.852902i | \(0.674840\pi\) | |||||||
\(348\) | −9.70260 | − | 4.94372i | −0.520114 | − | 0.265011i | ||||
\(349\) | −5.13391 | + | 15.8006i | −0.274812 | + | 0.845785i | 0.714457 | + | 0.699679i | \(0.246674\pi\) |
−0.989269 | + | 0.146105i | \(0.953326\pi\) | |||||||
\(350\) | 0.138798 | + | 2.86897i | 0.00741905 | + | 0.153353i | ||||
\(351\) | 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 | ||||
\(355\) | 15.3216 | − | 0.370405i | 0.813188 | − | 0.0196591i | ||||
\(356\) | 1.02417 | + | 3.15207i | 0.0542809 | + | 0.167059i | ||||
\(357\) | −1.37164 | + | 8.66021i | −0.0725950 | + | 0.458347i | ||||
\(358\) | −3.26667 | + | 20.6249i | −0.172649 | + | 1.09006i | ||||
\(359\) | −4.07277 | − | 12.5347i | −0.214952 | − | 0.661555i | −0.999157 | − | 0.0410530i | \(-0.986929\pi\) |
0.784205 | − | 0.620502i | \(-0.213071\pi\) | |||||||
\(360\) | 24.2570 | + | 23.1118i | 1.27845 | + | 1.21810i | ||||
\(361\) | 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 | ||||||
\(365\) | 10.7254 | + | 19.8487i | 0.561391 | + | 1.03893i | ||||
\(366\) | 8.36613 | − | 25.7483i | 0.437304 | − | 1.34588i | ||||
\(367\) | −24.7721 | − | 12.6220i | −1.29309 | − | 0.658864i | −0.334166 | − | 0.942514i | \(-0.608455\pi\) |
−0.958928 | + | 0.283650i | \(0.908455\pi\) | |||||||
\(368\) | 1.52434 | + | 0.241431i | 0.0794616 | + | 0.0125855i | ||||
\(369\) | 35.6902 | − | 25.9304i | 1.85796 | − | 1.34988i | ||||
\(370\) | −1.77633 | + | 1.35737i | −0.0923472 | + | 0.0705662i | ||||
\(371\) | 3.68378 | + | 1.19693i | 0.191252 | + | 0.0621416i | ||||
\(372\) | 4.16352 | − | 0.659436i | 0.215868 | − | 0.0341902i | ||||
\(373\) | 6.02155 | − | 6.02155i | 0.311784 | − | 0.311784i | −0.533816 | − | 0.845600i | \(-0.679243\pi\) |
0.845600 | + | 0.533816i | \(0.179243\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.16558 | − | 30.6598i | −0.370029 | − | 1.58327i | ||||
\(376\) | 7.27253 | − | 10.0098i | 0.375052 | − | 0.516215i | ||||
\(377\) | 6.27028 | + | 12.3061i | 0.322936 | + | 0.633797i | ||||
\(378\) | 1.41823 | − | 2.78344i | 0.0729460 | − | 0.143165i | ||||
\(379\) | 2.55987 | + | 3.52335i | 0.131492 | + | 0.180983i | 0.869686 | − | 0.493605i | \(-0.164321\pi\) |
−0.738194 | + | 0.674588i | \(0.764321\pi\) | |||||||
\(380\) | 1.79597 | − | 2.60194i | 0.0921314 | − | 0.133477i | ||||
\(381\) | 31.6684 | − | 10.2897i | 1.62242 | − | 0.527157i | ||||
\(382\) | 12.0468 | − | 6.13814i | 0.616367 | − | 0.314054i | ||||
\(383\) | 1.06130 | + | 6.70081i | 0.0542301 | + | 0.342395i | 0.999853 | + | 0.0171310i | \(0.00545323\pi\) |
−0.945623 | + | 0.325264i | \(0.894547\pi\) | |||||||
\(384\) | −3.92473 | −0.200283 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.83388 | −0.398734 | ||||||||
\(387\) | −2.78517 | − | 17.5848i | −0.141578 | − | 0.893888i | ||||
\(388\) | −13.4907 | + | 6.87385i | −0.684886 | + | 0.348967i | ||||
\(389\) | −23.4174 | + | 7.60877i | −1.18731 | + | 0.385780i | −0.835077 | − | 0.550133i | \(-0.814577\pi\) |
−0.352231 | + | 0.935913i | \(0.614577\pi\) | |||||||
\(390\) | −3.84807 | − | 20.9977i | −0.194855 | − | 1.06326i | ||||
\(391\) | −3.78235 | − | 5.20596i | −0.191282 | − | 0.263277i | ||||
\(392\) | 9.23973 | − | 18.1340i | 0.466677 | − | 0.915905i | ||||
\(393\) | 10.1571 | + | 19.9344i | 0.512357 | + | 1.00556i | ||||
\(394\) | −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 | \(0.985900\pi\) | |||||||
\(398\) | −12.7791 | + | 2.02401i | −0.640558 | + | 0.101454i | ||||
\(399\) | −2.29219 | − | 0.744779i | −0.114753 | − | 0.0372856i | ||||
\(400\) | −5.68016 | − | 3.72127i | −0.284008 | − | 0.186064i | ||||
\(401\) | −20.0349 | + | 14.5562i | −1.00049 | + | 0.726901i | −0.962194 | − | 0.272365i | \(-0.912194\pi\) |
−0.0382998 | + | 0.999266i | \(0.512194\pi\) | |||||||
\(402\) | 10.7785 | + | 1.70714i | 0.537581 | + | 0.0851445i | ||||
\(403\) | −4.76381 | − | 2.42728i | −0.237302 | − | 0.120911i | ||||
\(404\) | 0.179702 | − | 0.553067i | 0.00894052 | − | 0.0275161i | ||||
\(405\) | −0.333449 | + | 1.11745i | −0.0165692 | + | 0.0555268i | ||||
\(406\) | − | 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 | \(-0.379633\pi\) |
−0.769779 | + | 0.638311i | \(0.779633\pi\) | |||||||
\(410\) | −14.4182 | + | 15.1326i | −0.712065 | + | 0.747346i | ||||
\(411\) | 3.89427 | + | 11.9853i | 0.192090 | + | 0.591192i | ||||
\(412\) | −0.293585 | + | 1.85362i | −0.0144639 | + | 0.0913214i | ||||
\(413\) | −0.582051 | + | 3.67492i | −0.0286409 | + | 0.180831i | ||||
\(414\) | 1.80915 | + | 5.56801i | 0.0889151 | + | 0.273653i | ||||
\(415\) | −17.4754 | + | 18.3413i | −0.857836 | + | 0.900340i | ||||
\(416\) | 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 | \(-0.0598910\pi\) | |||||||
\(420\) | 0.899321 | − | 3.01381i | 0.0438824 | − | 0.147059i | ||||
\(421\) | −6.69710 | + | 20.6115i | −0.326396 | + | 1.00455i | 0.644410 | + | 0.764680i | \(0.277103\pi\) |
−0.970806 | + | 0.239865i | \(0.922897\pi\) | |||||||
\(422\) | 12.6203 | + | 6.43037i | 0.614347 | + | 0.313025i | ||||
\(423\) | 19.8304 | + | 3.14082i | 0.964186 | + | 0.152712i | ||||
\(424\) | −17.3183 | + | 12.5825i | −0.841052 | + | 0.611060i | ||||
\(425\) | 5.77530 | + | 27.7179i | 0.280143 | + | 1.34452i | ||||
\(426\) | 19.1802 | + | 6.23203i | 0.929285 | + | 0.301943i | ||||
\(427\) | −4.99675 | + | 0.791408i | −0.241810 | + | 0.0382989i | ||||
\(428\) | 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 | 0.185545 | + | 0.982636i | \(0.440595\pi\) |
−0.991879 | + | 0.127188i | \(0.959405\pi\) | |||||||
\(432\) | 3.35290 | + | 6.58045i | 0.161317 | + | 0.316602i | ||||
\(433\) | 5.66197 | − | 11.1122i | 0.272097 | − | 0.534020i | −0.714009 | − | 0.700136i | \(-0.753123\pi\) |
0.986106 | + | 0.166116i | \(0.0531226\pi\) | |||||||
\(434\) | 0.556411 | + | 0.765835i | 0.0267086 | + | 0.0367612i | ||||
\(435\) | 4.83200 | + | 26.3667i | 0.231677 | + | 1.26419i | ||||
\(436\) | −3.87071 | + | 1.25767i | −0.185373 | + | 0.0602314i | ||||
\(437\) | 1.57602 | − | 0.803021i | 0.0753911 | − | 0.0384137i | ||||
\(438\) | 4.64417 | + | 29.3221i | 0.221907 | + | 1.40107i | ||||
\(439\) | 16.9147 | 0.807294 | 0.403647 | − | 0.914915i | \(-0.367742\pi\) | ||||
0.403647 | + | 0.914915i | \(0.367742\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 33.0261 | 1.57267 | ||||||||
\(442\) | 3.00295 | + | 18.9599i | 0.142836 | + | 0.901830i | ||||
\(443\) | −9.85633 | + | 5.02205i | −0.468288 | + | 0.238605i | −0.672179 | − | 0.740389i | \(-0.734641\pi\) |
0.203890 | + | 0.978994i | \(0.434641\pi\) | |||||||
\(444\) | 2.32809 | − | 0.756443i | 0.110486 | − | 0.0358992i | ||||
\(445\) | 4.63453 | − | 6.71434i | 0.219698 | − | 0.318290i | ||||
\(446\) | −3.21828 | − | 4.42959i | −0.152390 | − | 0.209747i | ||||
\(447\) | −18.9035 | + | 37.1001i | −0.894103 | + | 1.75478i | ||||
\(448\) | −1.89294 | − | 3.71510i | −0.0894330 | − | 0.175522i | ||||
\(449\) | 2.65602 | − | 3.65570i | 0.125346 | − | 0.172523i | −0.741732 | − | 0.670696i | \(-0.765995\pi\) |
0.867078 | + | 0.498173i | \(0.165995\pi\) | |||||||
\(450\) | 2.79554 | − | 25.6075i | 0.131783 | − | 1.20715i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.922199 | − | 0.922199i | 0.0433766 | − | 0.0433766i | ||||
\(453\) | 18.4841 | − | 2.92760i | 0.868459 | − | 0.137550i | ||||
\(454\) | −14.9757 | − | 4.86590i | −0.702844 | − | 0.228368i | ||||
\(455\) | −3.16961 | + | 2.42202i | −0.148594 | + | 0.113546i | ||||
\(456\) | 10.7762 | − | 7.82933i | 0.504640 | − | 0.366642i | ||||
\(457\) | 32.2246 | + | 5.10388i | 1.50740 | + | 0.238749i | 0.854803 | − | 0.518953i | \(-0.173678\pi\) |
0.652601 | + | 0.757702i | \(0.273678\pi\) | |||||||
\(458\) | −13.8404 | − | 7.05205i | −0.646720 | − | 0.329520i | ||||
\(459\) | 9.51565 | − | 29.2862i | 0.444153 | − | 1.36696i | ||||
\(460\) | 1.09730 | + | 2.03069i | 0.0511618 | + | 0.0946815i | ||||
\(461\) | − | 23.4279i | − | 1.09114i | −0.838064 | − | 0.545572i | \(-0.816312\pi\) | ||
0.838064 | − | 0.545572i | \(-0.183688\pi\) | |||||||
\(462\) | 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 | ||||
\(465\) | −7.51267 | − | 7.15800i | −0.348392 | − | 0.331944i | ||||
\(466\) | 1.78835 | + | 5.50398i | 0.0828438 | + | 0.254967i | ||||
\(467\) | 4.44382 | − | 28.0572i | 0.205635 | − | 1.29833i | −0.641570 | − | 0.767065i | \(-0.721716\pi\) |
0.847205 | − | 0.531266i | \(-0.178284\pi\) | |||||||
\(468\) | −2.27346 | + | 14.3541i | −0.105091 | + | 0.663517i | ||||
\(469\) | −0.630152 | − | 1.93941i | −0.0290977 | − | 0.0895536i | ||||
\(470\) | −9.50987 | + | 0.229904i | −0.438658 | + | 0.0106047i | ||||
\(471\) | 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 | ||||||||
\(475\) | −7.77353 | + | 0.376075i | −0.356674 | + | 0.0172555i | ||||
\(476\) | −0.873959 | + | 2.68977i | −0.0400579 | + | 0.123285i | ||||
\(477\) | −30.9509 | − | 15.7703i | −1.41715 | − | 0.722072i | ||||
\(478\) | 25.5092 | + | 4.04025i | 1.16676 | + | 0.184797i | ||||
\(479\) | −25.3831 | + | 18.4419i | −1.15978 | + | 0.842631i | −0.989751 | − | 0.142807i | \(-0.954387\pi\) |
−0.170032 | + | 0.985439i | \(0.554387\pi\) | |||||||
\(480\) | 17.8112 | + | 23.3089i | 0.812968 | + | 1.06390i | ||||
\(481\) | −2.95280 | − | 0.959421i | −0.134636 | − | 0.0437458i | ||||
\(482\) | 5.36303 | − | 0.849420i | 0.244279 | − | 0.0386900i | ||||
\(483\) | 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 | ||||
\(487\) | −3.12030 | − | 6.12393i | −0.141394 | − | 0.277502i | 0.809440 | − | 0.587203i | \(-0.199771\pi\) |
−0.950834 | + | 0.309701i | \(0.899771\pi\) | |||||||
\(488\) | 12.6933 | − | 24.9121i | 0.574600 | − | 1.12772i | ||||
\(489\) | 16.7676 | + | 23.0786i | 0.758258 | + | 1.04365i | ||||
\(490\) | −15.3913 | + | 2.82063i | −0.695307 | + | 0.127423i | ||||
\(491\) | 14.0088 | − | 4.55175i | 0.632211 | − | 0.205418i | 0.0246565 | − | 0.999696i | \(-0.492151\pi\) |
0.607554 | + | 0.794278i | \(0.292151\pi\) | |||||||
\(492\) | 20.3923 | − | 10.3904i | 0.919357 | − | 0.468436i | ||||
\(493\) | −3.77079 | − | 23.8078i | −0.169828 | − | 1.07225i | ||||
\(494\) | −5.27658 | −0.237405 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.23795 | −0.100487 | ||||||||
\(497\) | −0.589529 | − | 3.72214i | −0.0264440 | − | 0.166961i | ||||
\(498\) | −29.7026 | + | 15.1342i | −1.33101 | + | 0.678181i | ||||
\(499\) | 25.1783 | − | 8.18091i | 1.12713 | − | 0.366228i | 0.314647 | − | 0.949209i | \(-0.398114\pi\) |
0.812486 | + | 0.582981i | \(0.198114\pi\) | |||||||
\(500\) | −0.735778 | − | 10.1292i | −0.0329050 | − | 0.452992i | ||||
\(501\) | −23.7008 | − | 32.6213i | −1.05887 | − | 1.45741i | ||||
\(502\) | −5.92286 | + | 11.6243i | −0.264350 | + | 0.518816i | ||||
\(503\) | −13.8189 | − | 27.1211i | −0.616153 | − | 1.20927i | −0.962530 | − | 0.271174i | \(-0.912588\pi\) |
0.346377 | − | 0.938095i | \(-0.387412\pi\) | |||||||
\(504\) | 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 | ||||
\(508\) | 10.6082 | − | 1.68017i | 0.470662 | − | 0.0745455i | ||||
\(509\) | 3.85928 | + | 1.25395i | 0.171059 | + | 0.0555806i | 0.393295 | − | 0.919413i | \(-0.371335\pi\) |
−0.222235 | + | 0.974993i | \(0.571335\pi\) | |||||||
\(510\) | −4.93719 | + | 36.9281i | −0.218622 | + | 1.63520i | ||||
\(511\) | 4.48807 | − | 3.26077i | 0.198540 | − | 0.144248i | ||||
\(512\) | 14.4010 | + | 2.28089i | 0.636439 | + | 0.100802i | ||||
\(513\) | 7.54178 | + | 3.84273i | 0.332978 | + | 0.169661i | ||||
\(514\) | −4.11823 | + | 12.6746i | −0.181647 | + | 0.559053i | ||||
\(515\) | 4.06437 | − | 2.19621i | 0.179098 | − | 0.0967767i | ||||
\(516\) | − | 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 | ||||
\(520\) | −0.532816 | − | 22.0397i | −0.0233655 | − | 0.966503i | ||||
\(521\) | 5.40872 | + | 16.6463i | 0.236960 | + | 0.729289i | 0.996855 | + | 0.0792430i | \(0.0252503\pi\) |
−0.759895 | + | 0.650046i | \(0.774750\pi\) | |||||||
\(522\) | −3.43070 | + | 21.6606i | −0.150157 | + | 0.948057i | ||||
\(523\) | 2.71817 | − | 17.1619i | 0.118857 | − | 0.750436i | −0.854212 | − | 0.519924i | \(-0.825960\pi\) |
0.973070 | − | 0.230511i | \(-0.0740399\pi\) | |||||||
\(524\) | 2.23000 | + | 6.86323i | 0.0974180 | + | 0.299822i | ||||
\(525\) | −7.23897 | + | 2.74545i | −0.315935 | + | 0.119821i | ||||
\(526\) | 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 | ||||||
\(530\) | 15.7711 | + | 4.70609i | 0.685051 | + | 0.204419i | ||||
\(531\) | 10.3114 | − | 31.7351i | 0.447475 | − | 1.37719i | ||||
\(532\) | −0.692670 | − | 0.352933i | −0.0300311 | − | 0.0153016i | ||||
\(533\) | −28.6707 | − | 4.54100i | −1.24187 | − | 0.196692i | ||||
\(534\) | 8.68528 | − | 6.31022i | 0.375849 | − | 0.273070i | ||||
\(535\) | −19.8096 | − | 2.64848i | −0.856442 | − | 0.114504i | ||||
\(536\) | 10.7184 | + | 3.48262i | 0.462965 | + | 0.150426i | ||||
\(537\) | −55.5927 | + | 8.80502i | −2.39900 | + | 0.379965i | ||||
\(538\) | −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 | −0.0286825 | − | 0.999589i | \(-0.509131\pi\) |
0.959529 | − | 0.281611i | \(-0.0908688\pi\) | |||||||
\(542\) | 15.0708 | + | 29.5781i | 0.647347 | + | 1.27049i | ||||
\(543\) | 34.3601 | − | 67.4355i | 1.47453 | − | 2.89393i | ||||
\(544\) | −15.5052 | − | 21.3410i | −0.664778 | − | 0.914989i | ||||
\(545\) | 8.24514 | + | 5.69116i | 0.353183 | + | 0.243782i | ||||
\(546\) | −4.99221 | + | 1.62207i | −0.213647 | + | 0.0694180i | ||||
\(547\) | −7.72046 | + | 3.93377i | −0.330103 | + | 0.168196i | −0.611185 | − | 0.791488i | \(-0.709307\pi\) |
0.281082 | + | 0.959684i | \(0.409307\pi\) | |||||||
\(548\) | 0.635882 | + | 4.01480i | 0.0271635 | + | 0.171504i | ||||
\(549\) | 45.3705 | 1.93637 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.62577 | 0.282267 | ||||||||
\(552\) | 1.52127 | + | 9.60493i | 0.0647496 | + | 0.408813i | ||||
\(553\) | 2.04108 | − | 1.03998i | 0.0867956 | − | 0.0442246i | ||||
\(554\) | 7.21373 | − | 2.34388i | 0.306482 | − | 0.0995820i | ||||
\(555\) | −4.95916 | − | 3.42303i | −0.210505 | − | 0.145299i | ||||
\(556\) | 12.0754 | + | 16.6203i | 0.512110 | + | 0.704859i | ||||
\(557\) | 3.80294 | − | 7.46369i | 0.161136 | − | 0.316247i | −0.796296 | − | 0.604908i | \(-0.793210\pi\) |
0.957431 | + | 0.288661i | \(0.0932100\pi\) | |||||||
\(558\) | −3.85416 | − | 7.56421i | −0.163160 | − | 0.320219i | ||||
\(559\) | −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 | ||||
\(563\) | −29.7724 | + | 4.71548i | −1.25476 | + | 0.198734i | −0.748200 | − | 0.663473i | \(-0.769082\pi\) |
−0.506556 | + | 0.862207i | \(0.669082\pi\) | |||||||
\(564\) | 9.90632 | + | 3.21876i | 0.417131 | + | 0.135534i | ||||
\(565\) | −3.18210 | − | 0.425438i | −0.133872 | − | 0.0178983i | ||||
\(566\) | −11.6820 | + | 8.48746i | −0.491031 | + | 0.356755i | ||||
\(567\) | 0.283213 | + | 0.0448566i | 0.0118938 | + | 0.00188380i | ||||
\(568\) | 18.5573 | + | 9.45542i | 0.778647 | + | 0.396741i | ||||
\(569\) | 8.37640 | − | 25.7799i | 0.351157 | − | 1.08075i | −0.607048 | − | 0.794665i | \(-0.707646\pi\) |
0.958204 | − | 0.286084i | \(-0.0923537\pi\) | |||||||
\(570\) | −9.81338 | − | 2.92832i | −0.411037 | − | 0.122654i | ||||
\(571\) | 6.30511i | 0.263861i | 0.991259 | + | 0.131930i | \(0.0421175\pi\) | ||||
−0.991259 | + | 0.131930i | \(0.957883\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 25.7692 | + | 25.7692i | 1.07652 | + | 1.07652i | ||||
\(574\) | 4.15796 | + | 3.02093i | 0.173550 | + | 0.126091i | ||||
\(575\) | 2.33188 | − | 5.18135i | 0.0972461 | − | 0.216077i | ||||
\(576\) | 11.5552 | + | 35.5633i | 0.481467 | + | 1.48180i | ||||
\(577\) | −3.72015 | + | 23.4881i | −0.154872 | + | 0.977823i | 0.780756 | + | 0.624836i | \(0.214834\pi\) |
−0.935628 | + | 0.352987i | \(0.885166\pi\) | |||||||
\(578\) | 2.46237 | − | 15.5468i | 0.102421 | − | 0.646661i | ||||
\(579\) | −6.52507 | − | 20.0821i | −0.271173 | − | 0.834583i | ||||
\(580\) | 0.208966 | + | 8.64375i | 0.00867682 | + | 0.358912i | ||||
\(581\) | 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 | ||||||||
\(585\) | 31.4737 | − | 17.0070i | 1.30128 | − | 0.703154i | ||||
\(586\) | −2.19529 | + | 6.75641i | −0.0906866 | + | 0.279105i | ||||
\(587\) | −9.72432 | − | 4.95479i | −0.401366 | − | 0.204506i | 0.241642 | − | 0.970365i | \(-0.422314\pi\) |
−0.643008 | + | 0.765859i | \(0.722314\pi\) | |||||||
\(588\) | 16.9228 | + | 2.68030i | 0.697884 | + | 0.110534i | ||||
\(589\) | −2.07504 | + | 1.50761i | −0.0855007 | + | 0.0621199i | ||||
\(590\) | −2.09508 | + | 15.6703i | −0.0862529 | + | 0.645136i | ||||
\(591\) | −10.3442 | − | 3.36104i | −0.425504 | − | 0.138255i | ||||
\(592\) | −1.28358 | + | 0.203300i | −0.0527550 | + | 0.00835557i | ||||
\(593\) | −26.5198 | + | 26.5198i | −1.08904 | + | 1.08904i | −0.0934112 | + | 0.995628i | \(0.529777\pi\) |
−0.995628 | + | 0.0934112i | \(0.970223\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.56727 | − | 2.31075i | 0.269232 | − | 0.0947316i | ||||
\(596\) | −7.89430 | + | 10.8656i | −0.323363 | + | 0.445071i | ||||
\(597\) | −15.8326 | − | 31.0732i | −0.647985 | − | 1.27174i | ||||
\(598\) | 1.74891 | − | 3.43243i | 0.0715183 | − | 0.140363i | ||||
\(599\) | 25.9752 | + | 35.7518i | 1.06132 | + | 1.46078i | 0.878567 | + | 0.477620i | \(0.158500\pi\) |
0.182751 | + | 0.983159i | \(0.441500\pi\) | |||||||
\(600\) | 11.2403 | − | 41.2850i | 0.458884 | − | 1.68545i | ||||
\(601\) | 35.3322 | − | 11.4801i | 1.44123 | − | 0.468285i | 0.518951 | − | 0.854804i | \(-0.326323\pi\) |
0.922281 | + | 0.386519i | \(0.126323\pi\) | |||||||
\(602\) | 1.84812 | − | 0.941667i | 0.0753239 | − | 0.0383795i | ||||
\(603\) | 2.86089 | + | 18.0630i | 0.116504 | + | 0.735580i | ||||
\(604\) | 6.03642 | 0.245618 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.88368 | −0.0765194 | ||||||||
\(607\) | 7.06582 | + | 44.6119i | 0.286793 | + | 1.81074i | 0.538155 | + | 0.842846i | \(0.319122\pi\) |
−0.251362 | + | 0.967893i | \(0.580878\pi\) | |||||||
\(608\) | 6.46064 | − | 3.29186i | 0.262013 | − | 0.133502i | ||||
\(609\) | 6.26868 | − | 2.03682i | 0.254020 | − | 0.0825360i | ||||
\(610\) | −21.1442 | + | 3.87491i | −0.856103 | + | 0.156891i | ||||
\(611\) | −7.76529 | − | 10.6880i | −0.314150 | − | 0.432390i | ||||
\(612\) | 11.5149 | − | 22.5993i | 0.465463 | − | 0.913523i | ||||
\(613\) | −6.40030 | − | 12.5613i | −0.258506 | − | 0.507346i | 0.724880 | − | 0.688875i | \(-0.241895\pi\) |
−0.983385 | + | 0.181530i | \(0.941895\pi\) | |||||||
\(614\) | −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 | \(0.420713\pi\) | |||||||
\(618\) | 6.00424 | − | 0.950977i | 0.241526 | − | 0.0382539i | ||||
\(619\) | −25.6001 | − | 8.31798i | −1.02896 | − | 0.334328i | −0.254578 | − | 0.967052i | \(-0.581937\pi\) |
−0.774377 | + | 0.632724i | \(0.781937\pi\) | |||||||
\(620\) | −2.03222 | − | 2.65948i | −0.0816158 | − | 0.106807i | ||||
\(621\) | −4.99941 | + | 3.63229i | −0.200620 | + | 0.145759i | ||||
\(622\) | −17.1209 | − | 2.71168i | −0.686485 | − | 0.108729i | ||||
\(623\) | −1.78745 | − | 0.910749i | −0.0716125 | − | 0.0364884i | ||||
\(624\) | 3.83480 | − | 11.8023i | 0.153515 | − | 0.472470i | ||||
\(625\) | −18.7125 | + | 16.5784i | −0.748499 | + | 0.663136i | ||||
\(626\) | 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 | ||||
\(630\) | −6.33219 | + | 0.153083i | −0.252280 | + | 0.00609896i | ||||
\(631\) | −1.74476 | − | 5.36983i | −0.0694580 | − | 0.213770i | 0.910302 | − | 0.413944i | \(-0.135849\pi\) |
−0.979760 | + | 0.200174i | \(0.935849\pi\) | |||||||
\(632\) | −1.98049 | + | 12.5043i | −0.0787797 | + | 0.497395i | ||||
\(633\) | −5.97237 | + | 37.7081i | −0.237381 | + | 1.49876i | ||||
\(634\) | −7.78663 | − | 23.9648i | −0.309246 | − | 0.951763i | ||||
\(635\) | −19.1414 | − | 18.2378i | −0.759605 | − | 0.723745i | ||||
\(636\) | −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 | ||||||||
\(640\) | 1.48144 | + | 2.74159i | 0.0585589 | + | 0.108371i | ||||
\(641\) | 10.6841 | − | 32.8823i | 0.421997 | − | 1.29877i | −0.483844 | − | 0.875154i | \(-0.660760\pi\) |
0.905841 | − | 0.423619i | \(-0.139240\pi\) | |||||||
\(642\) | −23.4325 | − | 11.9395i | −0.924807 | − | 0.471213i | ||||
\(643\) | −19.1404 | − | 3.03154i | −0.754822 | − | 0.119552i | −0.232848 | − | 0.972513i | \(-0.574804\pi\) |
−0.521975 | + | 0.852961i | \(0.674804\pi\) | |||||||
\(644\) | 0.459168 | − | 0.333605i | 0.0180938 | − | 0.0131459i | ||||
\(645\) | −18.0663 | + | 13.8052i | −0.711361 | + | 0.543579i | ||||
\(646\) | 8.75828 | + | 2.84574i | 0.344590 | + | 0.111964i | ||||
\(647\) | 20.4870 | − | 3.24482i | 0.805426 | − | 0.127567i | 0.259873 | − | 0.965643i | \(-0.416319\pi\) |
0.545554 | + | 0.838076i | \(0.316319\pi\) | |||||||
\(648\) | −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 | ||||
\(652\) | 4.17734 | + | 8.19849i | 0.163597 | + | 0.321078i | ||||
\(653\) | −14.8917 | + | 29.2266i | −0.582757 | + | 1.14372i | 0.391898 | + | 0.920009i | \(0.371819\pi\) |
−0.974654 | + | 0.223716i | \(0.928181\pi\) | |||||||
\(654\) | 7.74889 | + | 10.6654i | 0.303006 | + | 0.417052i | ||||
\(655\) | 10.0911 | − | 14.6196i | 0.394292 | − | 0.571236i | ||||
\(656\) | −11.5559 | + | 3.75473i | −0.451181 | + | 0.146598i | ||||
\(657\) | −44.3290 | + | 22.5868i | −1.72944 | + | 0.881194i | ||||
\(658\) | 0.365911 | + | 2.31027i | 0.0142647 | + | 0.0900637i | ||||
\(659\) | 3.99211 | 0.155511 | 0.0777553 | − | 0.996972i | \(-0.475225\pi\) | ||||
0.0777553 | + | 0.996972i | \(0.475225\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.4892 | 1.65264 | 0.826318 | − | 0.563204i | \(-0.190431\pi\) | ||||
0.826318 | + | 0.563204i | \(0.190431\pi\) | |||||||
\(662\) | −2.05354 | − | 12.9655i | −0.0798130 | − | 0.503919i | ||||
\(663\) | −46.1023 | + | 23.4903i | −1.79046 | + | 0.912287i | ||||
\(664\) | −32.7421 | + | 10.6386i | −1.27064 | + | 0.412856i | ||||
\(665\) | 0.344957 | + | 1.88232i | 0.0133769 | + | 0.0729933i | ||||
\(666\) | −2.89771 | − | 3.98836i | −0.112284 | − | 0.154546i | ||||
\(667\) | −2.19610 | + | 4.31008i | −0.0850332 | + | 0.166887i | ||||
\(668\) | −5.90461 | − | 11.5884i | −0.228456 | − | 0.448370i | ||||
\(669\) | 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 | ||||
\(673\) | −0.624390 | + | 0.0988936i | −0.0240685 | + | 0.00381207i | −0.168457 | − | 0.985709i | \(-0.553878\pi\) |
0.144389 | + | 0.989521i | \(0.453878\pi\) | |||||||
\(674\) | 16.3713 | + | 5.31936i | 0.630599 | + | 0.204894i | ||||
\(675\) | 26.6182 | − | 5.54617i | 1.02454 | − | 0.213472i | ||||
\(676\) | −1.81712 | + | 1.32021i | −0.0698892 | + | 0.0507775i | ||||
\(677\) | −4.73137 | − | 0.749375i | −0.181841 | − | 0.0288008i | 0.0648496 | − | 0.997895i | \(-0.479343\pi\) |
−0.246691 | + | 0.969094i | \(0.579343\pi\) | |||||||
\(678\) | −3.76407 | − | 1.91789i | −0.144558 | − | 0.0736561i | ||||
\(679\) | 2.83203 | − | 8.71610i | 0.108683 | − | 0.334493i | ||||
\(680\) | −11.0019 | + | 36.8696i | −0.421904 | + | 1.41389i | ||||
\(681\) | − | 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 | ||||
\(685\) | 6.90232 | − | 7.24432i | 0.263724 | − | 0.276791i | ||||
\(686\) | 2.43161 | + | 7.48372i | 0.0928392 | + | 0.285730i | ||||
\(687\) | 6.54978 | − | 41.3537i | 0.249890 | − | 1.57774i | ||||
\(688\) | −0.767108 | + | 4.84333i | −0.0292457 | + | 0.184650i | ||||
\(689\) | 7.06322 | + | 21.7384i | 0.269087 | + | 0.828166i | ||||
\(690\) | 5.15750 | − | 5.41305i | 0.196343 | − | 0.206071i | ||||
\(691\) | −25.5681 | − | 18.5763i | −0.972655 | − | 0.706675i | −0.0166001 | − | 0.999862i | \(-0.505284\pi\) |
−0.956055 | + | 0.293187i | \(0.905284\pi\) | |||||||
\(692\) | 10.6427 | + | 10.6427i | 0.404573 | + | 0.404573i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.8780i | 0.564762i | ||||||||
\(695\) | 14.4604 | − | 48.4597i | 0.548514 | − | 1.83818i | ||||
\(696\) | −11.2568 | + | 34.6447i | −0.426686 | + | 1.31321i | ||||
\(697\) | 45.1397 | + | 22.9998i | 1.70979 | + | 0.871181i | ||||
\(698\) | 17.1444 | + | 2.71541i | 0.648927 | + | 0.102780i | ||||
\(699\) | −12.6198 | + | 9.16885i | −0.477326 | + | 0.346798i | ||||
\(700\) | −2.44473 | + | 0.509385i | −0.0924023 | + | 0.0192529i | ||||
\(701\) | 15.5373 | + | 5.04836i | 0.586834 | + | 0.190674i | 0.587360 | − | 0.809326i | \(-0.300167\pi\) |
−0.000525859 | 1.00000i | \(0.500167\pi\) | ||||||||
\(702\) | 18.2077 | − | 2.88381i | 0.687204 | − | 0.108842i | ||||
\(703\) | −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 | ||||
\(707\) | 0.159801 | + | 0.313628i | 0.00600995 | + | 0.0117952i | ||||
\(708\) | 7.85915 | − | 15.4245i | 0.295365 | − | 0.579686i | ||||
\(709\) | 11.2431 | + | 15.4747i | 0.422242 | + | 0.581166i | 0.966151 | − | 0.257978i | \(-0.0830563\pi\) |
−0.543909 | + | 0.839144i | \(0.683056\pi\) | |||||||
\(710\) | −2.88647 | − | 15.7506i | −0.108327 | − | 0.591108i | ||||
\(711\) | −19.5385 | + | 6.34844i | −0.732751 | + | 0.238085i | ||||
\(712\) | 9.87857 | − | 5.03338i | 0.370215 | − | 0.188634i | ||||
\(713\) | −0.292934 | − | 1.84951i | −0.0109705 | − | 0.0692649i | ||||
\(714\) | 9.16106 | 0.342844 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −18.1551 | −0.678488 | ||||||||
\(717\) | 10.8902 | + | 68.7577i | 0.406700 | + | 2.56781i | ||||
\(718\) | −12.2695 | + | 6.25160i | −0.457892 | + | 0.233308i | ||||
\(719\) | 14.4759 | − | 4.70352i | 0.539862 | − | 0.175412i | −0.0263784 | − | 0.999652i | \(-0.508397\pi\) |
0.566240 | + | 0.824240i | \(0.308397\pi\) | |||||||
\(720\) | 8.50646 | − | 12.3239i | 0.317017 | − | 0.459283i | ||||
\(721\) | −0.667702 | − | 0.919012i | −0.0248665 | − | 0.0342258i | ||||
\(722\) | 7.86314 | − | 15.4323i | 0.292636 | − | 0.574330i | ||||
\(723\) | 6.64450 | + | 13.0406i | 0.247112 | + | 0.484984i | ||||
\(724\) | 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 | \(0.199808\pi\) | |||||||
\(728\) | −5.35418 | + | 0.848019i | −0.198439 | + | 0.0314297i | ||||
\(729\) | 41.2489 | + | 13.4026i | 1.52774 | + | 0.496392i | ||||
\(730\) | 18.7298 | − | 14.3122i | 0.693220 | − | 0.529717i | ||||
\(731\) | 16.5411 | − | 12.0178i | 0.611793 | − | 0.444494i | ||||
\(732\) | 23.2481 | + | 3.68214i | 0.859276 | + | 0.136096i | ||||
\(733\) | 26.0631 | + | 13.2798i | 0.962662 | + | 0.490501i | 0.863378 | − | 0.504558i | \(-0.168345\pi\) |
0.0992844 | + | 0.995059i | \(0.468345\pi\) | |||||||
\(734\) | −8.97640 | + | 27.6265i | −0.331325 | + | 1.01971i | ||||
\(735\) | −20.0505 | − | 37.1060i | −0.739573 | − | 1.36868i | ||||
\(736\) | 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 | \(-0.596097\pi\) |
−0.999925 | + | 0.0122622i | \(0.996097\pi\) | |||||||
\(740\) | −1.40718 | − | 1.34074i | −0.0517288 | − | 0.0492867i | ||||
\(741\) | −4.39502 | − | 13.5265i | −0.161455 | − | 0.496908i | ||||
\(742\) | 0.633078 | − | 3.99709i | 0.0232410 | − | 0.146738i | ||||
\(743\) | −7.19824 | + | 45.4479i | −0.264078 | + | 1.66732i | 0.397619 | + | 0.917550i | \(0.369836\pi\) |
−0.661697 | + | 0.749771i | \(0.730164\pi\) | |||||||
\(744\) | −4.35759 | − | 13.4113i | −0.159757 | − | 0.491681i | ||||
\(745\) | 33.0514 | − | 0.799028i | 1.21091 | − | 0.0292741i | ||||
\(746\) | −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 | ||||||||
\(750\) | −30.4681 | + | 12.4057i | −1.11254 | + | 0.452991i | ||||
\(751\) | −1.01334 | + | 3.11873i | −0.0369772 | + | 0.113804i | −0.967841 | − | 0.251561i | \(-0.919056\pi\) |
0.930864 | + | 0.365366i | \(0.119056\pi\) | |||||||
\(752\) | −4.92717 | − | 2.51052i | −0.179675 | − | 0.0915492i | ||||
\(753\) | −34.7320 | − | 5.50101i | −1.26571 | − | 0.200468i | ||||
\(754\) | 11.6744 | − | 8.48196i | 0.425157 | − | 0.308895i | ||||
\(755\) | −9.02211 | − | 11.8069i | −0.328348 | − | 0.429697i | ||||
\(756\) | 2.58305 | + | 0.839285i | 0.0939448 | + | 0.0305245i | ||||
\(757\) | 18.4482 | − | 2.92190i | 0.670511 | − | 0.106198i | 0.188108 | − | 0.982148i | \(-0.439764\pi\) |
0.482402 | + | 0.875950i | \(0.339764\pi\) | |||||||
\(758\) | 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 | −0.770374 | − | 0.637592i | \(-0.779931\pi\) |
0.844445 | + | 0.535642i | \(0.179931\pi\) | |||||||
\(762\) | −15.7944 | − | 30.9983i | −0.572172 | − | 1.12295i | ||||
\(763\) | 1.11839 | − | 2.19497i | 0.0404885 | − | 0.0794631i | ||||
\(764\) | 6.90931 | + | 9.50985i | 0.249970 | + | 0.344054i | ||||
\(765\) | −61.4134 | + | 11.2547i | −2.22040 | + | 0.406915i | ||||
\(766\) | 6.74141 | − | 2.19042i | 0.243577 | − | 0.0791430i | ||||
\(767\) | −19.5633 | + | 9.96801i | −0.706391 | + | 0.359924i | ||||
\(768\) | 7.32321 | + | 46.2369i | 0.264254 | + | 1.66843i | ||||
\(769\) | 40.6658 | 1.46645 | 0.733223 | − | 0.679989i | \(-0.238015\pi\) | ||||
0.733223 | + | 0.679989i | \(0.238015\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −35.9215 | −1.29368 | ||||||||
\(772\) | −1.06546 | − | 6.72703i | −0.0383466 | − | 0.242111i | ||||
\(773\) | 38.4111 | − | 19.5714i | 1.38155 | − | 0.703935i | 0.404023 | − | 0.914749i | \(-0.367611\pi\) |
0.977526 | + | 0.210814i | \(0.0676115\pi\) | |||||||
\(774\) | −17.6914 | + | 5.74829i | −0.635904 | + | 0.206618i | ||||
\(775\) | −2.16442 | + | 7.94980i | −0.0777483 | + | 0.285565i | ||||
\(776\) | 29.7712 | + | 40.9765i | 1.06872 | + | 1.47097i | ||||
\(777\) | −0.672672 | + | 1.32019i | −0.0241320 | + | 0.0473617i | ||||
\(778\) | 11.6793 | + | 22.9219i | 0.418722 | + | 0.821789i | ||||
\(779\) | −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 | ||||
\(783\) | −22.8632 | + | 3.62118i | −0.817066 | + | 0.129410i | ||||
\(784\) | −8.65105 | − | 2.81090i | −0.308966 | − | 0.100389i | ||||
\(785\) | 0.478355 | − | 3.57790i | 0.0170732 | − | 0.127701i | ||||
\(786\) | 18.9111 | − | 13.7397i | 0.674537 | − | 0.490080i | ||||
\(787\) | −25.9589 | − | 4.11149i | −0.925337 | − | 0.146559i | −0.324459 | − | 0.945900i | \(-0.605182\pi\) |
−0.600878 | + | 0.799341i | \(0.705182\pi\) | |||||||
\(788\) | −3.12588 | − | 1.59272i | −0.111355 | − | 0.0567382i | ||||
\(789\) | −16.7577 | + | 51.5748i | −0.596588 | + | 1.83611i | ||||
\(790\) | 8.56341 | − | 4.62730i | 0.304672 | − | 0.164632i | ||||
\(791\) | 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 | ||||
\(795\) | 1.07215 | + | 44.3488i | 0.0380251 | + | 1.57289i | ||||
\(796\) | −3.47607 | − | 10.6982i | −0.123206 | − | 0.379189i | ||||
\(797\) | 6.98384 | − | 44.0942i | 0.247380 | − | 1.56190i | −0.480998 | − | 0.876722i | \(-0.659725\pi\) |
0.728378 | − | 0.685176i | \(-0.240275\pi\) | |||||||
\(798\) | −0.393926 | + | 2.48715i | −0.0139448 | + | 0.0880442i | ||||
\(799\) | 7.12493 | + | 21.9283i | 0.252062 | + | 0.775767i | ||||
\(800\) | 9.55918 | − | 21.2401i | 0.337968 | − | 0.750952i | ||||
\(801\) | 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 | ||||||||
\(805\) | −1.33879 | − | 0.399496i | −0.0471862 | − | 0.0140804i | ||||
\(806\) | −1.72621 | + | 5.31272i | −0.0608031 | + | 0.187133i | ||||
\(807\) | −43.6509 | − | 22.2412i | −1.53658 | − | 0.782928i | ||||
\(808\) | −1.92139 | − | 0.304318i | −0.0675942 | − | 0.0107059i | ||||
\(809\) | 44.5683 | − | 32.3808i | 1.56694 | − | 1.13845i | 0.636923 | − | 0.770928i | \(-0.280207\pi\) |
0.930016 | − | 0.367520i | \(-0.119793\pi\) | |||||||
\(810\) | 1.20765 | + | 0.161460i | 0.0424326 | + | 0.00567313i | ||||
\(811\) | 12.6852 | + | 4.12167i | 0.445437 | + | 0.144731i | 0.523143 | − | 0.852245i | \(-0.324759\pi\) |
−0.0777056 | + | 0.996976i | \(0.524759\pi\) | |||||||
\(812\) | 2.09986 | − | 0.332585i | 0.0736907 | − | 0.0116715i | ||||
\(813\) | −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 | ||||
\(817\) | 2.55146 | + | 5.00753i | 0.0892644 | + | 0.175191i | ||||
\(818\) | −4.74987 | + | 9.32214i | −0.166075 | + | 0.325941i | ||||
\(819\) | −5.17055 | − | 7.11665i | −0.180673 | − | 0.248676i | ||||
\(820\) | −14.9555 | − | 10.3229i | −0.522268 | − | 0.360492i | ||||
\(821\) | −6.90599 | + | 2.24389i | −0.241021 | + | 0.0783123i | −0.427036 | − | 0.904234i | \(-0.640442\pi\) |
0.186016 | + | 0.982547i | \(0.440442\pi\) | |||||||
\(822\) | 11.7317 | − | 5.97761i | 0.409191 | − | 0.208493i | ||||
\(823\) | 7.53092 | + | 47.5483i | 0.262511 | + | 1.65743i | 0.668619 | + | 0.743605i | \(0.266886\pi\) |
−0.406107 | + | 0.913825i | \(0.633114\pi\) | |||||||
\(824\) | 6.27805 | 0.218706 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.88746 | 0.135262 | ||||||||
\(827\) | −5.78599 | − | 36.5313i | −0.201199 | − | 1.27032i | −0.856973 | − | 0.515361i | \(-0.827658\pi\) |
0.655775 | − | 0.754957i | \(-0.272342\pi\) | |||||||
\(828\) | −4.53524 | + | 2.31082i | −0.157611 | + | 0.0803066i | ||||
\(829\) | −20.2927 | + | 6.59349i | −0.704794 | + | 0.229001i | −0.639418 | − | 0.768859i | \(-0.720825\pi\) |
−0.0653757 | + | 0.997861i | \(0.520825\pi\) | |||||||
\(830\) | 21.7835 | + | 15.0359i | 0.756118 | + | 0.521905i | ||||
\(831\) | 12.0170 | + | 16.5400i | 0.416867 | + | 0.573768i | ||||
\(832\) | 11.1704 | − | 21.9232i | 0.387265 | − | 0.760051i | ||||
\(833\) | 17.2183 | + | 33.7929i | 0.596579 | + | 1.17085i | ||||
\(834\) | 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 | ||||
\(838\) | −7.90206 | + | 1.25156i | −0.272972 | + | 0.0432345i | ||||
\(839\) | −20.3641 | − | 6.61671i | −0.703048 | − | 0.228434i | −0.0643898 | − | 0.997925i | \(-0.520510\pi\) |
−0.638658 | + | 0.769491i | \(0.720510\pi\) | |||||||
\(840\) | −10.4283 | − | 1.39424i | −0.359811 | − | 0.0481057i | ||||
\(841\) | 8.80200 | − | 6.39503i | 0.303517 | − | 0.220518i | ||||
\(842\) | 22.3646 | + | 3.54221i | 0.770736 | + | 0.122073i | ||||
\(843\) | 13.9122 | + | 7.08862i | 0.479162 | + | 0.244145i | ||||
\(844\) | −3.80538 | + | 11.7117i | −0.130986 | + | 0.403135i | ||||
\(845\) | 5.29815 | + | 1.58097i | 0.182262 | + | 0.0543871i | ||||
\(846\) | − | 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 | ||||
\(850\) | 27.6595 | − | 10.4901i | 0.948712 | − | 0.359809i | ||||
\(851\) | −0.336027 | − | 1.03418i | −0.0115188 | − | 0.0354514i | ||||
\(852\) | −2.74287 | + | 17.3178i | −0.0939693 | + | 0.593299i | ||||
\(853\) | 4.58777 | − | 28.9660i | 0.157082 | − | 0.991779i | −0.775638 | − | 0.631178i | \(-0.782572\pi\) |
0.932720 | − | 0.360601i | \(-0.117428\pi\) | |||||||
\(854\) | 1.63338 | + | 5.02703i | 0.0558932 | + | 0.172021i | ||||
\(855\) | −0.414780 | − | 17.1572i | −0.0141852 | − | 0.586763i | ||||
\(856\) | −21.9726 | − | 15.9641i | −0.751009 | − | 0.545640i | ||||
\(857\) | 14.3622 | + | 14.3622i | 0.490604 | + | 0.490604i | 0.908496 | − | 0.417893i | \(-0.137231\pi\) |
−0.417893 | + | 0.908496i | \(0.637231\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 21.7404i | − | 0.741772i | −0.928678 | − | 0.370886i | \(-0.879054\pi\) | ||
0.928678 | − | 0.370886i | \(-0.120946\pi\) | |||||||
\(860\) | −6.45218 | + | 3.48648i | −0.220018 | + | 0.118888i | ||||
\(861\) | −4.28086 | + | 13.1751i | −0.145891 | + | 0.449007i | ||||
\(862\) | 26.5127 | + | 13.5089i | 0.903025 | + | 0.460114i | ||||
\(863\) | −25.4634 | − | 4.03301i | −0.866785 | − | 0.137285i | −0.292823 | − | 0.956167i | \(-0.594595\pi\) |
−0.573963 | + | 0.818882i | \(0.694595\pi\) | |||||||
\(864\) | −20.4943 | + | 14.8900i | −0.697231 | + | 0.506568i | ||||
\(865\) | 4.90978 | − | 36.7231i | 0.166937 | − | 1.24862i | ||||
\(866\) | −12.3927 | − | 4.02662i | −0.421120 | − | 0.136830i | ||||
\(867\) | 41.9051 | − | 6.63711i | 1.42317 | − | 0.225408i | ||||
\(868\) | −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 | ||||
\(872\) | 6.18094 | + | 12.1308i | 0.209313 | + | 0.410800i | ||||
\(873\) | −37.3137 | + | 73.2323i | −1.26288 | + | 2.47854i | ||||
\(874\) | −1.08627 | − | 1.49512i | −0.0367435 | − | 0.0505731i | ||||
\(875\) | 4.65026 | + | 4.02043i | 0.157207 | + | 0.135915i | ||||
\(876\) | −24.5476 | + | 7.97599i | −0.829385 | + | 0.269484i | ||||
\(877\) | 41.0441 | − | 20.9130i | 1.38596 | − | 0.706183i | 0.407615 | − | 0.913154i | \(-0.366361\pi\) |
0.978347 | + | 0.206971i | \(0.0663605\pi\) | |||||||
\(878\) | −2.76461 | − | 17.4551i | −0.0933011 | − | 0.589080i | ||||
\(879\) | −19.1485 | −0.645864 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.73181 | 0.125728 | 0.0628640 | − | 0.998022i | \(-0.479977\pi\) | ||||
0.0628640 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(882\) | −5.39792 | − | 34.0811i | −0.181758 | − | 1.14757i | ||||
\(883\) | 22.3354 | − | 11.3805i | 0.751647 | − | 0.382983i | −0.0358055 | − | 0.999359i | \(-0.511400\pi\) |
0.787452 | + | 0.616376i | \(0.211400\pi\) | |||||||
\(884\) | −15.8726 | + | 5.15733i | −0.533854 | + | 0.173460i | ||||
\(885\) | −41.9158 | + | 7.68154i | −1.40898 | + | 0.258212i | ||||
\(886\) | 6.79345 | + | 9.35038i | 0.228230 | + | 0.314132i | ||||
\(887\) | −6.45725 | + | 12.6731i | −0.216813 | + | 0.425520i | −0.973638 | − | 0.228098i | \(-0.926749\pi\) |
0.756825 | + | 0.653617i | \(0.226749\pi\) | |||||||
\(888\) | −3.71762 | − | 7.29623i | −0.124755 | − | 0.244845i | ||||
\(889\) | −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 | ||||
\(893\) | −6.25972 | + | 0.991443i | −0.209474 | + | 0.0331774i | ||||
\(894\) | 41.3750 | + | 13.4436i | 1.38379 | + | 0.449620i | ||||
\(895\) | 27.1349 | + | 35.5103i | 0.907018 | + | 1.18698i | ||||
\(896\) | 0.619912 | − | 0.450393i | 0.0207098 | − | 0.0150466i | ||||
\(897\) | 10.2557 | + | 1.62435i | 0.342429 | + | 0.0542354i | ||||
\(898\) | −4.20660 | − | 2.14337i | −0.140376 | − | 0.0715252i | ||||
\(899\) | 2.16759 | − | 6.67115i | 0.0722931 | − | 0.222495i | ||||
\(900\) | 22.3696 | − | 1.08222i | 0.745653 | − | 0.0360739i | ||||
\(901\) | − | 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 | ||||
\(905\) | −60.0762 | + | 1.45236i | −1.99700 | + | 0.0482782i | ||||
\(906\) | −6.04225 | − | 18.5961i | −0.200740 | − | 0.617815i | ||||
\(907\) | −7.69586 | + | 48.5897i | −0.255537 | + | 1.61340i | 0.442115 | + | 0.896958i | \(0.354228\pi\) |
−0.697652 | + | 0.716437i | \(0.745772\pi\) | |||||||
\(908\) | 2.14160 | − | 13.5216i | 0.0710716 | − | 0.448729i | ||||
\(909\) | −0.975488 | − | 3.00224i | −0.0323549 | − | 0.0995781i | ||||
\(910\) | 3.01745 | + | 2.87500i | 0.100028 | + | 0.0953054i | ||||
\(911\) | −35.0834 | − | 25.4896i | −1.16237 | − | 0.844508i | −0.172290 | − | 0.985046i | \(-0.555117\pi\) |
−0.990075 | + | 0.140538i | \(0.955117\pi\) | |||||||
\(912\) | −4.20960 | − | 4.20960i | −0.139394 | − | 0.139394i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 34.0883i | − | 1.12754i | ||||||
\(915\) | −27.5449 | − | 50.9754i | −0.910607 | − | 1.68520i | ||||
\(916\) | 4.17327 | − | 12.8440i | 0.137889 | − | 0.424378i | ||||
\(917\) | −3.89194 | − | 1.98304i | −0.128523 | − | 0.0654858i | ||||
\(918\) | −31.7770 | − | 5.03299i | −1.04880 | − | 0.166113i | ||||
\(919\) | 18.9392 | − | 13.7602i | 0.624748 | − | 0.453906i | −0.229829 | − | 0.973231i | \(-0.573817\pi\) |
0.854577 | + | 0.519325i | \(0.173817\pi\) | |||||||
\(920\) | 6.13524 | − | 4.68818i | 0.202273 | − | 0.154565i | ||||
\(921\) | −20.9922 | − | 6.82077i | −0.691716 | − | 0.224752i | ||||
\(922\) | −24.1763 | + | 3.82915i | −0.796205 | + | 0.126106i | ||||
\(923\) | 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 | ||||
\(927\) | 4.62505 | + | 9.07716i | 0.151906 | + | 0.298133i | ||||
\(928\) | −9.00256 | + | 17.6685i | −0.295523 | + | 0.579997i | ||||
\(929\) | −7.44107 | − | 10.2418i | −0.244134 | − | 0.336021i | 0.669312 | − | 0.742981i | \(-0.266589\pi\) |
−0.913446 | + | 0.406960i | \(0.866589\pi\) | |||||||
\(930\) | −6.15877 | + | 8.92261i | −0.201954 | + | 0.292584i | ||||
\(931\) | −9.91488 | + | 3.22154i | −0.324947 | + | 0.105582i | ||||
\(932\) | −4.48309 | + | 2.28425i | −0.146849 | + | 0.0748231i | ||||
\(933\) | −7.30911 | − | 46.1479i | −0.239289 | − | 1.51081i | ||||
\(934\) | −29.6798 | −0.971153 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 48.6159 | 1.58906 | ||||||||
\(937\) | −4.16014 | − | 26.2661i | −0.135906 | − | 0.858076i | −0.957590 | − | 0.288133i | \(-0.906965\pi\) |
0.821684 | − | 0.569943i | \(-0.193035\pi\) | |||||||
\(938\) | −1.89837 | + | 0.967269i | −0.0619841 | + | 0.0315825i | ||||
\(939\) | −25.5072 | + | 8.28779i | −0.832396 | + | 0.270462i | ||||
\(940\) | −1.49082 | − | 8.13495i | −0.0486253 | − | 0.265333i | ||||
\(941\) | −14.0321 | − | 19.3135i | −0.457433 | − | 0.629602i | 0.516541 | − | 0.856262i | \(-0.327219\pi\) |
−0.973974 | + | 0.226660i | \(0.927219\pi\) | |||||||
\(942\) | 2.15644 | − | 4.23225i | 0.0702606 | − | 0.137894i | ||||
\(943\) | −4.61562 | − | 9.05866i | −0.150305 | − | 0.294991i | ||||
\(944\) | −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 | \(-0.0978374\pi\) | |||||||
\(948\) | −10.5269 | + | 1.66729i | −0.341897 | + | 0.0541512i | ||||
\(949\) | 31.1345 | + | 10.1162i | 1.01067 | + | 0.328386i | ||||
\(950\) | 1.65863 | + | 7.96040i | 0.0538130 | + | 0.258270i | ||||
\(951\) | 54.9478 | − | 39.9219i | 1.78180 | − | 1.29456i | ||||
\(952\) | 9.34442 | + | 1.48001i | 0.302854 | + | 0.0479674i | ||||
\(953\) | −14.2533 | − | 7.26244i | −0.461711 | − | 0.235254i | 0.207632 | − | 0.978207i | \(-0.433424\pi\) |
−0.669343 | + | 0.742953i | \(0.733424\pi\) | |||||||
\(954\) | −11.2153 | + | 34.5173i | −0.363110 | + | 1.11754i | ||||
\(955\) | 8.27398 | − | 27.7278i | 0.267740 | − | 0.897250i | ||||
\(956\) | 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 | ||||
\(960\) | 32.9414 | − | 34.5736i | 1.06318 | − | 1.11586i | ||||
\(961\) | −8.74043 | − | 26.9003i | −0.281949 | − | 0.867751i | ||||
\(962\) | −0.507454 | + | 3.20394i | −0.0163610 | + | 0.103299i | ||||
\(963\) | 6.89448 | − | 43.5300i | 0.222172 | − | 1.40274i | ||||
\(964\) | 1.45881 | + | 4.48976i | 0.0469851 | + | 0.144605i | ||||
\(965\) | −11.5652 | + | 12.1383i | −0.372298 | + | 0.390745i | ||||
\(966\) | −1.48733 | − | 1.08061i | −0.0478542 | − | 0.0347681i | ||||
\(967\) | 37.1649 | + | 37.1649i | 1.19514 | + | 1.19514i | 0.975604 | + | 0.219539i | \(0.0704554\pi\) |
0.219539 | + | 0.975604i | \(0.429545\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.8221i | 0.797400i | ||||||||
\(970\) | 11.1350 | − | 37.3155i | 0.357522 | − | 1.19813i | ||||
\(971\) | 6.76484 | − | 20.8200i | 0.217094 | − | 0.668147i | −0.781904 | − | 0.623398i | \(-0.785751\pi\) |
0.998998 | − | 0.0447481i | \(-0.0142485\pi\) | |||||||
\(972\) | 12.0152 | + | 6.12206i | 0.385388 | + | 0.196365i | ||||
\(973\) | −12.2819 | − | 1.94526i | −0.393739 | − | 0.0623621i | ||||
\(974\) | −5.80957 | + | 4.22090i | −0.186151 | + | 0.135246i | ||||
\(975\) | −38.2160 | − | 25.0367i | −1.22389 | − | 0.801816i | ||||
\(976\) | −11.8846 | − | 3.86155i | −0.380417 | − | 0.123605i | ||||
\(977\) | −0.101253 | + | 0.0160370i | −0.00323938 | + | 0.000513068i | −0.158054 | − | 0.987430i | \(-0.550522\pi\) |
0.154815 | + | 0.987944i | \(0.450522\pi\) | |||||||
\(978\) | 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 | ||||
\(982\) | −6.98683 | − | 13.7124i | −0.222959 | − | 0.437581i | ||||
\(983\) | 20.6480 | − | 40.5239i | 0.658568 | − | 1.29251i | −0.284104 | − | 0.958793i | \(-0.591696\pi\) |
0.942672 | − | 0.333719i | \(-0.108304\pi\) | |||||||
\(984\) | −45.0016 | − | 61.9394i | −1.43460 | − | 1.97456i | ||||
\(985\) | 1.55672 | + | 8.49454i | 0.0496013 | + | 0.270659i | ||||
\(986\) | −23.9521 | + | 7.78250i | −0.762790 | + | 0.247845i | ||||
\(987\) | −5.61758 | + | 2.86230i | −0.178810 | + | 0.0911080i | ||||
\(988\) | −0.717648 | − | 4.53105i | −0.0228314 | − | 0.144152i | ||||
\(989\) | −4.10309 | −0.130471 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.25030 | −0.230313 | −0.115157 | − | 0.993347i | \(-0.536737\pi\) | ||||
−0.115157 | + | 0.993347i | \(0.536737\pi\) | |||||||
\(992\) | −1.20084 | − | 7.58180i | −0.0381267 | − | 0.240722i | ||||
\(993\) | 31.5266 | − | 16.0636i | 1.00047 | − | 0.509762i | ||||
\(994\) | −3.74470 | + | 1.21673i | −0.118775 | + | 0.0385922i | ||||
\(995\) | −15.7298 | + | 22.7887i | −0.498668 | + | 0.722452i | ||||
\(996\) | −17.0356 | − | 23.4476i | −0.539795 | − | 0.742964i | ||||
\(997\) | 12.6699 | − | 24.8661i | 0.401259 | − | 0.787516i | −0.598650 | − | 0.801011i | \(-0.704296\pi\) |
0.999909 | + | 0.0134952i | \(0.00429579\pi\) | |||||||
\(998\) | −12.5575 | − | 24.6455i | −0.397501 | − | 0.780139i | ||||
\(999\) | 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 \(a_p\))