Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(373,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.373");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.2 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.373 |
Dual form | 882.2.e.o.655.2 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −0.933463 | − | 1.45899i | −0.538935 | − | 0.842347i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.296790 | + | 0.514055i | 0.132728 | + | 0.229892i | 0.924727 | − | 0.380630i | \(-0.124293\pi\) |
−0.791999 | + | 0.610522i | \(0.790960\pi\) | |||||||
\(6\) | 0.933463 | + | 1.45899i | 0.381085 | + | 0.595630i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −1.25729 | + | 2.72382i | −0.419098 | + | 0.907941i | ||||
\(10\) | −0.296790 | − | 0.514055i | −0.0938531 | − | 0.162558i | ||||
\(11\) | 0.296790 | − | 0.514055i | 0.0894855 | − | 0.154993i | −0.817808 | − | 0.575491i | \(-0.804811\pi\) |
0.907294 | + | 0.420497i | \(0.138144\pi\) | |||||||
\(12\) | −0.933463 | − | 1.45899i | −0.269467 | − | 0.421174i | ||||
\(13\) | 1.25729 | − | 2.17770i | 0.348711 | − | 0.603985i | −0.637310 | − | 0.770608i | \(-0.719953\pi\) |
0.986021 | + | 0.166623i | \(0.0532862\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.472958 | − | 0.912864i | 0.122117 | − | 0.235700i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −1.46050 | − | 2.52967i | −0.354224 | − | 0.613535i | 0.632760 | − | 0.774348i | \(-0.281922\pi\) |
−0.986985 | + | 0.160813i | \(0.948588\pi\) | |||||||
\(18\) | 1.25729 | − | 2.72382i | 0.296347 | − | 0.642011i | ||||
\(19\) | −2.69076 | + | 4.66053i | −0.617302 | + | 1.06920i | 0.372674 | + | 0.927962i | \(0.378441\pi\) |
−0.989976 | + | 0.141236i | \(0.954892\pi\) | |||||||
\(20\) | 0.296790 | + | 0.514055i | 0.0663642 | + | 0.114946i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.296790 | + | 0.514055i | −0.0632758 | + | 0.109597i | ||||
\(23\) | −2.23025 | − | 3.86291i | −0.465040 | − | 0.805473i | 0.534164 | − | 0.845381i | \(-0.320627\pi\) |
−0.999203 | + | 0.0399086i | \(0.987293\pi\) | |||||||
\(24\) | 0.933463 | + | 1.45899i | 0.190542 | + | 0.297815i | ||||
\(25\) | 2.32383 | − | 4.02499i | 0.464766 | − | 0.804999i | ||||
\(26\) | −1.25729 | + | 2.17770i | −0.246576 | + | 0.427082i | ||||
\(27\) | 5.14766 | − | 0.708209i | 0.990668 | − | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.09718 | − | 5.36447i | −0.575132 | − | 0.996157i | −0.996027 | − | 0.0890480i | \(-0.971618\pi\) |
0.420896 | − | 0.907109i | \(-0.361716\pi\) | |||||||
\(30\) | −0.472958 | + | 0.912864i | −0.0863499 | + | 0.166665i | ||||
\(31\) | 7.86693 | 1.41294 | 0.706471 | − | 0.707742i | \(-0.250286\pi\) | ||||
0.706471 | + | 0.707742i | \(0.250286\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −1.02704 | + | 0.0468383i | −0.178785 | + | 0.00815350i | ||||
\(34\) | 1.46050 | + | 2.52967i | 0.250475 | + | 0.433835i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.25729 | + | 2.72382i | −0.209549 | + | 0.453970i | ||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | 2.69076 | − | 4.66053i | 0.436498 | − | 0.756038i | ||||
\(39\) | −4.35087 | + | 0.198422i | −0.696697 | + | 0.0317729i | ||||
\(40\) | −0.296790 | − | 0.514055i | −0.0469266 | − | 0.0812792i | ||||
\(41\) | 0.136673 | − | 0.236725i | 0.0213448 | − | 0.0369702i | −0.855156 | − | 0.518371i | \(-0.826539\pi\) |
0.876500 | + | 0.481401i | \(0.159872\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.58113 | − | 9.66679i | −0.851114 | − | 1.47417i | −0.880204 | − | 0.474596i | \(-0.842594\pi\) |
0.0290902 | − | 0.999577i | \(-0.490739\pi\) | |||||||
\(44\) | 0.296790 | − | 0.514055i | 0.0447427 | − | 0.0774967i | ||||
\(45\) | −1.77335 | + | 0.162084i | −0.264355 | + | 0.0241621i | ||||
\(46\) | 2.23025 | + | 3.86291i | 0.328833 | + | 0.569555i | ||||
\(47\) | −12.1623 | −1.77405 | −0.887023 | − | 0.461724i | \(-0.847231\pi\) | ||||
−0.887023 | + | 0.461724i | \(0.847231\pi\) | |||||||
\(48\) | −0.933463 | − | 1.45899i | −0.134734 | − | 0.210587i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.32383 | + | 4.02499i | −0.328639 | + | 0.569220i | ||||
\(51\) | −2.32743 | + | 4.49221i | −0.325905 | + | 0.629035i | ||||
\(52\) | 1.25729 | − | 2.17770i | 0.174355 | − | 0.301992i | ||||
\(53\) | 4.02704 | + | 6.97504i | 0.553157 | + | 0.958096i | 0.998044 | + | 0.0625092i | \(0.0199103\pi\) |
−0.444888 | + | 0.895586i | \(0.646756\pi\) | |||||||
\(54\) | −5.14766 | + | 0.708209i | −0.700508 | + | 0.0963750i | ||||
\(55\) | 0.352336 | 0.0475090 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 9.31138 | − | 0.424646i | 1.23332 | − | 0.0562457i | ||||
\(58\) | 3.09718 | + | 5.36447i | 0.406679 | + | 0.704389i | ||||
\(59\) | −8.64766 | −1.12583 | −0.562915 | − | 0.826515i | \(-0.690320\pi\) | ||||
−0.562915 | + | 0.826515i | \(0.690320\pi\) | |||||||
\(60\) | 0.472958 | − | 0.912864i | 0.0610586 | − | 0.117850i | ||||
\(61\) | 6.64766 | 0.851146 | 0.425573 | − | 0.904924i | \(-0.360073\pi\) | ||||
0.425573 | + | 0.904924i | \(0.360073\pi\) | |||||||
\(62\) | −7.86693 | −0.999101 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.49261 | 0.185135 | ||||||||
\(66\) | 1.02704 | − | 0.0468383i | 0.126420 | − | 0.00576540i | ||||
\(67\) | −1.91381 | −0.233809 | −0.116905 | − | 0.993143i | \(-0.537297\pi\) | ||||
−0.116905 | + | 0.993143i | \(0.537297\pi\) | |||||||
\(68\) | −1.46050 | − | 2.52967i | −0.177112 | − | 0.306767i | ||||
\(69\) | −3.55408 | + | 6.85980i | −0.427861 | + | 0.825822i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −14.4107 | −1.71023 | −0.855117 | − | 0.518435i | \(-0.826515\pi\) | ||||
−0.855117 | + | 0.518435i | \(0.826515\pi\) | |||||||
\(72\) | 1.25729 | − | 2.72382i | 0.148174 | − | 0.321006i | ||||
\(73\) | −3.95691 | − | 6.85356i | −0.463121 | − | 0.802149i | 0.535994 | − | 0.844222i | \(-0.319937\pi\) |
−0.999115 | + | 0.0420732i | \(0.986604\pi\) | |||||||
\(74\) | −0.500000 | + | 0.866025i | −0.0581238 | + | 0.100673i | ||||
\(75\) | −8.04163 | + | 0.366739i | −0.928568 | + | 0.0423474i | ||||
\(76\) | −2.69076 | + | 4.66053i | −0.308651 | + | 0.534599i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.35087 | − | 0.198422i | 0.492639 | − | 0.0224668i | ||||
\(79\) | −9.24844 | −1.04053 | −0.520265 | − | 0.854005i | \(-0.674167\pi\) | ||||
−0.520265 | + | 0.854005i | \(0.674167\pi\) | |||||||
\(80\) | 0.296790 | + | 0.514055i | 0.0331821 | + | 0.0574731i | ||||
\(81\) | −5.83842 | − | 6.84929i | −0.648713 | − | 0.761033i | ||||
\(82\) | −0.136673 | + | 0.236725i | −0.0150930 | + | 0.0261419i | ||||
\(83\) | −3.85087 | − | 6.66991i | −0.422688 | − | 0.732118i | 0.573513 | − | 0.819196i | \(-0.305580\pi\) |
−0.996201 | + | 0.0870787i | \(0.972247\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.866926 | − | 1.50156i | 0.0940313 | − | 0.162867i | ||||
\(86\) | 5.58113 | + | 9.66679i | 0.601828 | + | 1.04240i | ||||
\(87\) | −4.93560 | + | 9.52628i | −0.529152 | + | 1.02132i | ||||
\(88\) | −0.296790 | + | 0.514055i | −0.0316379 | + | 0.0547984i | ||||
\(89\) | 6.21780 | − | 10.7695i | 0.659085 | − | 1.14157i | −0.321767 | − | 0.946819i | \(-0.604277\pi\) |
0.980853 | − | 0.194751i | \(-0.0623898\pi\) | |||||||
\(90\) | 1.77335 | − | 0.162084i | 0.186927 | − | 0.0170852i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.23025 | − | 3.86291i | −0.232520 | − | 0.402736i | ||||
\(93\) | −7.34348 | − | 11.4778i | −0.761484 | − | 1.19019i | ||||
\(94\) | 12.1623 | 1.25444 | ||||||||
\(95\) | −3.19436 | −0.327734 | ||||||||
\(96\) | 0.933463 | + | 1.45899i | 0.0952711 | + | 0.148907i | ||||
\(97\) | −5.86693 | − | 10.1618i | −0.595696 | − | 1.03178i | −0.993448 | − | 0.114283i | \(-0.963543\pi\) |
0.397752 | − | 0.917493i | \(-0.369790\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.02704 | + | 1.45472i | 0.103222 | + | 0.146205i | ||||
\(100\) | 2.32383 | − | 4.02499i | 0.232383 | − | 0.402499i | ||||
\(101\) | −0.811379 | + | 1.40535i | −0.0807352 | + | 0.139837i | −0.903566 | − | 0.428449i | \(-0.859060\pi\) |
0.822831 | + | 0.568287i | \(0.192393\pi\) | |||||||
\(102\) | 2.32743 | − | 4.49221i | 0.230450 | − | 0.444795i | ||||
\(103\) | 3.19076 | + | 5.52655i | 0.314395 | + | 0.544548i | 0.979309 | − | 0.202372i | \(-0.0648651\pi\) |
−0.664914 | + | 0.746920i | \(0.731532\pi\) | |||||||
\(104\) | −1.25729 | + | 2.17770i | −0.123288 | + | 0.213541i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.02704 | − | 6.97504i | −0.391141 | − | 0.677476i | ||||
\(107\) | 9.35447 | − | 16.2024i | 0.904331 | − | 1.56635i | 0.0825182 | − | 0.996590i | \(-0.473704\pi\) |
0.821813 | − | 0.569758i | \(-0.192963\pi\) | |||||||
\(108\) | 5.14766 | − | 0.708209i | 0.495334 | − | 0.0681474i | ||||
\(109\) | −1.43346 | − | 2.48283i | −0.137301 | − | 0.237812i | 0.789173 | − | 0.614171i | \(-0.210509\pi\) |
−0.926474 | + | 0.376359i | \(0.877176\pi\) | |||||||
\(110\) | −0.352336 | −0.0335940 | ||||||||
\(111\) | −1.73025 | + | 0.0789082i | −0.164228 | + | 0.00748964i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.16012 | + | 10.6696i | −0.579495 | + | 1.00371i | 0.416042 | + | 0.909345i | \(0.363417\pi\) |
−0.995537 | + | 0.0943695i | \(0.969916\pi\) | |||||||
\(114\) | −9.31138 | + | 0.424646i | −0.872091 | + | 0.0397717i | ||||
\(115\) | 1.32383 | − | 2.29294i | 0.123448 | − | 0.213818i | ||||
\(116\) | −3.09718 | − | 5.36447i | −0.287566 | − | 0.498078i | ||||
\(117\) | 4.35087 | + | 6.16266i | 0.402238 | + | 0.569738i | ||||
\(118\) | 8.64766 | 0.796082 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.472958 | + | 0.912864i | −0.0431750 | + | 0.0833327i | ||||
\(121\) | 5.32383 | + | 9.22115i | 0.483985 | + | 0.838286i | ||||
\(122\) | −6.64766 | −0.601851 | ||||||||
\(123\) | −0.472958 | + | 0.0215693i | −0.0426452 | + | 0.00194484i | ||||
\(124\) | 7.86693 | 0.706471 | ||||||||
\(125\) | 5.72665 | 0.512207 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.3346 | 1.09452 | 0.547261 | − | 0.836962i | \(-0.315671\pi\) | ||||
0.547261 | + | 0.836962i | \(0.315671\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −8.89397 | + | 17.1664i | −0.783070 | + | 1.51142i | ||||
\(130\) | −1.49261 | −0.130910 | ||||||||
\(131\) | −0.593579 | − | 1.02811i | −0.0518613 | − | 0.0898264i | 0.838929 | − | 0.544240i | \(-0.183182\pi\) |
−0.890791 | + | 0.454414i | \(0.849849\pi\) | |||||||
\(132\) | −1.02704 | + | 0.0468383i | −0.0893925 | + | 0.00407675i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.91381 | 0.165328 | ||||||||
\(135\) | 1.89183 | + | 2.43599i | 0.162823 | + | 0.209657i | ||||
\(136\) | 1.46050 | + | 2.52967i | 0.125237 | + | 0.216917i | ||||
\(137\) | −1.26089 | + | 2.18393i | −0.107725 | + | 0.186586i | −0.914848 | − | 0.403797i | \(-0.867690\pi\) |
0.807123 | + | 0.590383i | \(0.201023\pi\) | |||||||
\(138\) | 3.55408 | − | 6.85980i | 0.302544 | − | 0.583945i | ||||
\(139\) | −2.45691 | + | 4.25549i | −0.208392 | + | 0.360946i | −0.951208 | − | 0.308550i | \(-0.900156\pi\) |
0.742816 | + | 0.669496i | \(0.233490\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.3530 | + | 17.7446i | 0.956096 | + | 1.49436i | ||||
\(142\) | 14.4107 | 1.20932 | ||||||||
\(143\) | −0.746304 | − | 1.29264i | −0.0624091 | − | 0.108096i | ||||
\(144\) | −1.25729 | + | 2.72382i | −0.104775 | + | 0.226985i | ||||
\(145\) | 1.83842 | − | 3.18424i | 0.152673 | − | 0.264437i | ||||
\(146\) | 3.95691 | + | 6.85356i | 0.327476 | + | 0.567205i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | − | 0.866025i | 0.0410997 | − | 0.0711868i | ||||
\(149\) | −9.02558 | − | 15.6328i | −0.739404 | − | 1.28069i | −0.952764 | − | 0.303712i | \(-0.901774\pi\) |
0.213360 | − | 0.976974i | \(-0.431559\pi\) | |||||||
\(150\) | 8.04163 | − | 0.366739i | 0.656596 | − | 0.0299441i | ||||
\(151\) | −0.823832 | + | 1.42692i | −0.0670425 | + | 0.116121i | −0.897598 | − | 0.440815i | \(-0.854690\pi\) |
0.830556 | + | 0.556936i | \(0.188023\pi\) | |||||||
\(152\) | 2.69076 | − | 4.66053i | 0.218249 | − | 0.378019i | ||||
\(153\) | 8.72665 | − | 0.797618i | 0.705508 | − | 0.0644836i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.33482 | + | 4.04403i | 0.187537 | + | 0.324824i | ||||
\(156\) | −4.35087 | + | 0.198422i | −0.348349 | + | 0.0158865i | ||||
\(157\) | 6.60078 | 0.526799 | 0.263400 | − | 0.964687i | \(-0.415156\pi\) | ||||
0.263400 | + | 0.964687i | \(0.415156\pi\) | |||||||
\(158\) | 9.24844 | 0.735766 | ||||||||
\(159\) | 6.41741 | − | 12.3863i | 0.508934 | − | 0.982301i | ||||
\(160\) | −0.296790 | − | 0.514055i | −0.0234633 | − | 0.0406396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 5.83842 | + | 6.84929i | 0.458710 | + | 0.538131i | ||||
\(163\) | −2.99115 | + | 5.18082i | −0.234285 | + | 0.405793i | −0.959065 | − | 0.283188i | \(-0.908608\pi\) |
0.724780 | + | 0.688980i | \(0.241941\pi\) | |||||||
\(164\) | 0.136673 | − | 0.236725i | 0.0106724 | − | 0.0184851i | ||||
\(165\) | −0.328893 | − | 0.514055i | −0.0256043 | − | 0.0400191i | ||||
\(166\) | 3.85087 | + | 6.66991i | 0.298886 | + | 0.517685i | ||||
\(167\) | −3.73025 | + | 6.46099i | −0.288656 | + | 0.499966i | −0.973489 | − | 0.228733i | \(-0.926542\pi\) |
0.684833 | + | 0.728700i | \(0.259875\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.33842 | + | 5.78231i | 0.256802 | + | 0.444793i | ||||
\(170\) | −0.866926 | + | 1.50156i | −0.0664902 | + | 0.115164i | ||||
\(171\) | −9.31138 | − | 13.1888i | −0.712059 | − | 1.00857i | ||||
\(172\) | −5.58113 | − | 9.66679i | −0.425557 | − | 0.737086i | ||||
\(173\) | 25.6591 | 1.95083 | 0.975414 | − | 0.220381i | \(-0.0707301\pi\) | ||||
0.975414 | + | 0.220381i | \(0.0707301\pi\) | |||||||
\(174\) | 4.93560 | − | 9.52628i | 0.374167 | − | 0.722185i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.296790 | − | 0.514055i | 0.0223714 | − | 0.0387483i | ||||
\(177\) | 8.07227 | + | 12.6168i | 0.606749 | + | 0.948340i | ||||
\(178\) | −6.21780 | + | 10.7695i | −0.466044 | + | 0.807211i | ||||
\(179\) | 7.51819 | + | 13.0219i | 0.561936 | + | 0.973301i | 0.997328 | + | 0.0730602i | \(0.0232765\pi\) |
−0.435392 | + | 0.900241i | \(0.643390\pi\) | |||||||
\(180\) | −1.77335 | + | 0.162084i | −0.132177 | + | 0.0120810i | ||||
\(181\) | 0.0861875 | 0.00640627 | 0.00320313 | − | 0.999995i | \(-0.498980\pi\) | ||||
0.00320313 | + | 0.999995i | \(0.498980\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.20535 | − | 9.69886i | −0.458712 | − | 0.716961i | ||||
\(184\) | 2.23025 | + | 3.86291i | 0.164416 | + | 0.284778i | ||||
\(185\) | 0.593579 | 0.0436408 | ||||||||
\(186\) | 7.34348 | + | 11.4778i | 0.538450 | + | 0.841590i | ||||
\(187\) | −1.73385 | −0.126792 | ||||||||
\(188\) | −12.1623 | −0.887023 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.19436 | 0.231743 | ||||||||
\(191\) | 3.98229 | 0.288148 | 0.144074 | − | 0.989567i | \(-0.453980\pi\) | ||||
0.144074 | + | 0.989567i | \(0.453980\pi\) | |||||||
\(192\) | −0.933463 | − | 1.45899i | −0.0673669 | − | 0.105293i | ||||
\(193\) | 6.78074 | 0.488088 | 0.244044 | − | 0.969764i | \(-0.421526\pi\) | ||||
0.244044 | + | 0.969764i | \(0.421526\pi\) | |||||||
\(194\) | 5.86693 | + | 10.1618i | 0.421221 | + | 0.729576i | ||||
\(195\) | −1.39329 | − | 2.17770i | −0.0997759 | − | 0.155948i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.0584 | 0.787875 | 0.393938 | − | 0.919137i | \(-0.371113\pi\) | ||||
0.393938 | + | 0.919137i | \(0.371113\pi\) | |||||||
\(198\) | −1.02704 | − | 1.45472i | −0.0729887 | − | 0.103383i | ||||
\(199\) | −2.80924 | − | 4.86575i | −0.199142 | − | 0.344924i | 0.749109 | − | 0.662447i | \(-0.230482\pi\) |
−0.948250 | + | 0.317523i | \(0.897149\pi\) | |||||||
\(200\) | −2.32383 | + | 4.02499i | −0.164320 | + | 0.284610i | ||||
\(201\) | 1.78647 | + | 2.79223i | 0.126008 | + | 0.196949i | ||||
\(202\) | 0.811379 | − | 1.40535i | 0.0570884 | − | 0.0988800i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −2.32743 | + | 4.49221i | −0.162953 | + | 0.314518i | ||||
\(205\) | 0.162253 | 0.0113322 | ||||||||
\(206\) | −3.19076 | − | 5.52655i | −0.222311 | − | 0.385053i | ||||
\(207\) | 13.3260 | − | 1.21800i | 0.926219 | − | 0.0846566i | ||||
\(208\) | 1.25729 | − | 2.17770i | 0.0871777 | − | 0.150996i | ||||
\(209\) | 1.59718 | + | 2.76639i | 0.110479 | + | 0.191355i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.66225 | − | 16.7355i | 0.665177 | − | 1.15212i | −0.314060 | − | 0.949403i | \(-0.601689\pi\) |
0.979237 | − | 0.202717i | \(-0.0649772\pi\) | |||||||
\(212\) | 4.02704 | + | 6.97504i | 0.276578 | + | 0.479048i | ||||
\(213\) | 13.4518 | + | 21.0250i | 0.921705 | + | 1.44061i | ||||
\(214\) | −9.35447 | + | 16.2024i | −0.639459 | + | 1.10757i | ||||
\(215\) | 3.31284 | − | 5.73801i | 0.225934 | − | 0.391329i | ||||
\(216\) | −5.14766 | + | 0.708209i | −0.350254 | + | 0.0481875i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 1.43346 | + | 2.48283i | 0.0970863 | + | 0.168158i | ||||
\(219\) | −6.30564 | + | 12.1706i | −0.426096 | + | 0.822415i | ||||
\(220\) | 0.352336 | 0.0237545 | ||||||||
\(221\) | −7.34514 | −0.494088 | ||||||||
\(222\) | 1.73025 | − | 0.0789082i | 0.116127 | − | 0.00529597i | ||||
\(223\) | −12.6623 | − | 21.9317i | −0.847927 | − | 1.46865i | −0.883055 | − | 0.469270i | \(-0.844517\pi\) |
0.0351275 | − | 0.999383i | \(-0.488816\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.04163 | + | 11.3903i | 0.536109 | + | 0.759354i | ||||
\(226\) | 6.16012 | − | 10.6696i | 0.409765 | − | 0.709734i | ||||
\(227\) | 2.40856 | − | 4.17174i | 0.159862 | − | 0.276888i | −0.774957 | − | 0.632014i | \(-0.782229\pi\) |
0.934819 | + | 0.355126i | \(0.115562\pi\) | |||||||
\(228\) | 9.31138 | − | 0.424646i | 0.616661 | − | 0.0281229i | ||||
\(229\) | −4.64766 | − | 8.04999i | −0.307126 | − | 0.531958i | 0.670606 | − | 0.741814i | \(-0.266034\pi\) |
−0.977732 | + | 0.209855i | \(0.932701\pi\) | |||||||
\(230\) | −1.32383 | + | 2.29294i | −0.0872909 | + | 0.151192i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.09718 | + | 5.36447i | 0.203340 | + | 0.352195i | ||||
\(233\) | 0.0971780 | − | 0.168317i | 0.00636634 | − | 0.0110268i | −0.862825 | − | 0.505503i | \(-0.831307\pi\) |
0.869191 | + | 0.494476i | \(0.164640\pi\) | |||||||
\(234\) | −4.35087 | − | 6.16266i | −0.284426 | − | 0.402865i | ||||
\(235\) | −3.60963 | − | 6.25206i | −0.235466 | − | 0.407840i | ||||
\(236\) | −8.64766 | −0.562915 | ||||||||
\(237\) | 8.63307 | + | 13.4934i | 0.560778 | + | 0.876488i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.82743 | + | 11.8255i | −0.441630 | + | 0.764925i | −0.997811 | − | 0.0661361i | \(-0.978933\pi\) |
0.556181 | + | 0.831061i | \(0.312266\pi\) | |||||||
\(240\) | 0.472958 | − | 0.912864i | 0.0305293 | − | 0.0589251i | ||||
\(241\) | −6.50000 | + | 11.2583i | −0.418702 | + | 0.725213i | −0.995809 | − | 0.0914555i | \(-0.970848\pi\) |
0.577107 | + | 0.816668i | \(0.304181\pi\) | |||||||
\(242\) | −5.32383 | − | 9.22115i | −0.342229 | − | 0.592758i | ||||
\(243\) | −4.54309 | + | 14.9118i | −0.291440 | + | 0.956589i | ||||
\(244\) | 6.64766 | 0.425573 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.472958 | − | 0.0215693i | 0.0301547 | − | 0.00137521i | ||||
\(247\) | 6.76615 | + | 11.7193i | 0.430520 | + | 0.745682i | ||||
\(248\) | −7.86693 | −0.499550 | ||||||||
\(249\) | −6.13667 | + | 11.8445i | −0.388896 | + | 0.750614i | ||||
\(250\) | −5.72665 | −0.362185 | ||||||||
\(251\) | 19.5438 | 1.23359 | 0.616796 | − | 0.787123i | \(-0.288430\pi\) | ||||
0.616796 | + | 0.787123i | \(0.288430\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.64766 | −0.166457 | ||||||||
\(254\) | −12.3346 | −0.773943 | ||||||||
\(255\) | −3.00000 | + | 0.136815i | −0.187867 | + | 0.00856770i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.16372 | + | 7.21177i | 0.259725 | + | 0.449858i | 0.966168 | − | 0.257912i | \(-0.0830346\pi\) |
−0.706443 | + | 0.707770i | \(0.749701\pi\) | |||||||
\(258\) | 8.89397 | − | 17.1664i | 0.553714 | − | 1.06873i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.49261 | 0.0925676 | ||||||||
\(261\) | 18.5059 | − | 1.69145i | 1.14549 | − | 0.104698i | ||||
\(262\) | 0.593579 | + | 1.02811i | 0.0366715 | + | 0.0635168i | ||||
\(263\) | 8.54523 | − | 14.8008i | 0.526921 | − | 0.912655i | −0.472586 | − | 0.881284i | \(-0.656680\pi\) |
0.999508 | − | 0.0313704i | \(-0.00998713\pi\) | |||||||
\(264\) | 1.02704 | − | 0.0468383i | 0.0632101 | − | 0.00288270i | ||||
\(265\) | −2.39037 | + | 4.14024i | −0.146839 | + | 0.254333i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −21.5167 | + | 0.981271i | −1.31680 | + | 0.0600528i | ||||
\(268\) | −1.91381 | −0.116905 | ||||||||
\(269\) | 5.00720 | + | 8.67272i | 0.305294 | + | 0.528785i | 0.977327 | − | 0.211737i | \(-0.0679119\pi\) |
−0.672033 | + | 0.740522i | \(0.734579\pi\) | |||||||
\(270\) | −1.89183 | − | 2.43599i | −0.115133 | − | 0.148250i | ||||
\(271\) | −5.10457 | + | 8.84137i | −0.310081 | + | 0.537075i | −0.978380 | − | 0.206818i | \(-0.933689\pi\) |
0.668299 | + | 0.743893i | \(0.267023\pi\) | |||||||
\(272\) | −1.46050 | − | 2.52967i | −0.0885561 | − | 0.153384i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.26089 | − | 2.18393i | 0.0761733 | − | 0.131936i | ||||
\(275\) | −1.37938 | − | 2.38915i | −0.0831797 | − | 0.144071i | ||||
\(276\) | −3.55408 | + | 6.85980i | −0.213931 | + | 0.412911i | ||||
\(277\) | −9.67111 | + | 16.7508i | −0.581081 | + | 1.00646i | 0.414271 | + | 0.910154i | \(0.364037\pi\) |
−0.995352 | + | 0.0963074i | \(0.969297\pi\) | |||||||
\(278\) | 2.45691 | − | 4.25549i | 0.147355 | − | 0.255227i | ||||
\(279\) | −9.89104 | + | 21.4281i | −0.592161 | + | 1.28287i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.40136 | − | 11.0875i | −0.381873 | − | 0.661424i | 0.609457 | − | 0.792819i | \(-0.291388\pi\) |
−0.991330 | + | 0.131396i | \(0.958054\pi\) | |||||||
\(282\) | −11.3530 | − | 17.7446i | −0.676062 | − | 1.05667i | ||||
\(283\) | 16.3523 | 0.972046 | 0.486023 | − | 0.873946i | \(-0.338447\pi\) | ||||
0.486023 | + | 0.873946i | \(0.338447\pi\) | |||||||
\(284\) | −14.4107 | −0.855117 | ||||||||
\(285\) | 2.98181 | + | 4.66053i | 0.176627 | + | 0.276066i | ||||
\(286\) | 0.746304 | + | 1.29264i | 0.0441299 | + | 0.0764352i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.25729 | − | 2.72382i | 0.0740868 | − | 0.160503i | ||||
\(289\) | 4.23385 | − | 7.33325i | 0.249050 | − | 0.431367i | ||||
\(290\) | −1.83842 | + | 3.18424i | −0.107956 | + | 0.186985i | ||||
\(291\) | −9.34941 | + | 18.0455i | −0.548072 | + | 1.05784i | ||||
\(292\) | −3.95691 | − | 6.85356i | −0.231560 | − | 0.401074i | ||||
\(293\) | 10.3889 | − | 17.9941i | 0.606926 | − | 1.05123i | −0.384817 | − | 0.922993i | \(-0.625736\pi\) |
0.991744 | − | 0.128235i | \(-0.0409311\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.56654 | − | 4.44537i | −0.149430 | − | 0.258820i | ||||
\(296\) | −0.500000 | + | 0.866025i | −0.0290619 | + | 0.0503367i | ||||
\(297\) | 1.16372 | − | 2.85637i | 0.0675256 | − | 0.165743i | ||||
\(298\) | 9.02558 | + | 15.6328i | 0.522838 | + | 0.905582i | ||||
\(299\) | −11.2163 | −0.648658 | ||||||||
\(300\) | −8.04163 | + | 0.366739i | −0.464284 | + | 0.0211737i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.823832 | − | 1.42692i | 0.0474062 | − | 0.0821099i | ||||
\(303\) | 2.80778 | − | 0.128049i | 0.161303 | − | 0.00735622i | ||||
\(304\) | −2.69076 | + | 4.66053i | −0.154326 | + | 0.267300i | ||||
\(305\) | 1.97296 | + | 3.41726i | 0.112971 | + | 0.195672i | ||||
\(306\) | −8.72665 | + | 0.797618i | −0.498870 | + | 0.0455968i | ||||
\(307\) | 22.6768 | 1.29424 | 0.647118 | − | 0.762390i | \(-0.275974\pi\) | ||||
0.647118 | + | 0.762390i | \(0.275974\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.08472 | − | 9.81411i | 0.289260 | − | 0.558305i | ||||
\(310\) | −2.33482 | − | 4.04403i | −0.132609 | − | 0.229686i | ||||
\(311\) | 6.51459 | 0.369408 | 0.184704 | − | 0.982794i | \(-0.440867\pi\) | ||||
0.184704 | + | 0.982794i | \(0.440867\pi\) | |||||||
\(312\) | 4.35087 | − | 0.198422i | 0.246320 | − | 0.0112334i | ||||
\(313\) | −0.266149 | −0.0150436 | −0.00752181 | − | 0.999972i | \(-0.502394\pi\) | ||||
−0.00752181 | + | 0.999972i | \(0.502394\pi\) | |||||||
\(314\) | −6.60078 | −0.372503 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.24844 | −0.520265 | ||||||||
\(317\) | 15.7237 | 0.883133 | 0.441566 | − | 0.897229i | \(-0.354423\pi\) | ||||
0.441566 | + | 0.897229i | \(0.354423\pi\) | |||||||
\(318\) | −6.41741 | + | 12.3863i | −0.359871 | + | 0.694592i | ||||
\(319\) | −3.67684 | −0.205864 | ||||||||
\(320\) | 0.296790 | + | 0.514055i | 0.0165910 | + | 0.0287365i | ||||
\(321\) | −32.3712 | + | 1.47629i | −1.80678 | + | 0.0823985i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.7195 | 0.874654 | ||||||||
\(324\) | −5.83842 | − | 6.84929i | −0.324357 | − | 0.380516i | ||||
\(325\) | −5.84348 | − | 10.1212i | −0.324138 | − | 0.561424i | ||||
\(326\) | 2.99115 | − | 5.18082i | 0.165664 | − | 0.286939i | ||||
\(327\) | −2.28434 | + | 4.40904i | −0.126324 | + | 0.243820i | ||||
\(328\) | −0.136673 | + | 0.236725i | −0.00754651 | + | 0.0130709i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.328893 | + | 0.514055i | 0.0181050 | + | 0.0282978i | ||||
\(331\) | −25.1623 | −1.38304 | −0.691521 | − | 0.722356i | \(-0.743059\pi\) | ||||
−0.691521 | + | 0.722356i | \(0.743059\pi\) | |||||||
\(332\) | −3.85087 | − | 6.66991i | −0.211344 | − | 0.366059i | ||||
\(333\) | 1.73025 | + | 2.45076i | 0.0948172 | + | 0.134301i | ||||
\(334\) | 3.73025 | − | 6.46099i | 0.204110 | − | 0.353529i | ||||
\(335\) | −0.568000 | − | 0.983804i | −0.0310331 | − | 0.0537510i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.36693 | + | 16.2240i | −0.510249 | + | 0.883777i | 0.489681 | + | 0.871902i | \(0.337113\pi\) |
−0.999929 | + | 0.0118752i | \(0.996220\pi\) | |||||||
\(338\) | −3.33842 | − | 5.78231i | −0.181586 | − | 0.314516i | ||||
\(339\) | 21.3171 | − | 0.972168i | 1.15779 | − | 0.0528009i | ||||
\(340\) | 0.866926 | − | 1.50156i | 0.0470156 | − | 0.0814335i | ||||
\(341\) | 2.33482 | − | 4.04403i | 0.126438 | − | 0.218997i | ||||
\(342\) | 9.31138 | + | 13.1888i | 0.503502 | + | 0.713169i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 5.58113 | + | 9.66679i | 0.300914 | + | 0.521199i | ||||
\(345\) | −4.58113 | + | 0.208922i | −0.246640 | + | 0.0112480i | ||||
\(346\) | −25.6591 | −1.37944 | ||||||||
\(347\) | 22.5438 | 1.21021 | 0.605106 | − | 0.796145i | \(-0.293131\pi\) | ||||
0.605106 | + | 0.796145i | \(0.293131\pi\) | |||||||
\(348\) | −4.93560 | + | 9.52628i | −0.264576 | + | 0.510662i | ||||
\(349\) | −1.89543 | − | 3.28298i | −0.101460 | − | 0.175734i | 0.810826 | − | 0.585287i | \(-0.199018\pi\) |
−0.912286 | + | 0.409553i | \(0.865685\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.92986 | − | 12.1005i | 0.263137 | − | 0.645876i | ||||
\(352\) | −0.296790 | + | 0.514055i | −0.0158189 | + | 0.0273992i | ||||
\(353\) | 3.41741 | − | 5.91913i | 0.181890 | − | 0.315043i | −0.760634 | − | 0.649181i | \(-0.775112\pi\) |
0.942524 | + | 0.334138i | \(0.108445\pi\) | |||||||
\(354\) | −8.07227 | − | 12.6168i | −0.429036 | − | 0.670578i | ||||
\(355\) | −4.27694 | − | 7.40789i | −0.226997 | − | 0.393170i | ||||
\(356\) | 6.21780 | − | 10.7695i | 0.329543 | − | 0.570785i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.51819 | − | 13.0219i | −0.397349 | − | 0.688228i | ||||
\(359\) | −6.32237 | + | 10.9507i | −0.333682 | + | 0.577954i | −0.983231 | − | 0.182366i | \(-0.941624\pi\) |
0.649549 | + | 0.760320i | \(0.274958\pi\) | |||||||
\(360\) | 1.77335 | − | 0.162084i | 0.0934636 | − | 0.00854259i | ||||
\(361\) | −4.98035 | − | 8.62622i | −0.262124 | − | 0.454012i | ||||
\(362\) | −0.0861875 | −0.00452991 | ||||||||
\(363\) | 8.48395 | − | 16.3750i | 0.445292 | − | 0.859465i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.34874 | − | 4.06813i | 0.122939 | − | 0.212936i | ||||
\(366\) | 6.20535 | + | 9.69886i | 0.324359 | + | 0.506968i | ||||
\(367\) | 3.27188 | − | 5.66707i | 0.170791 | − | 0.295819i | −0.767906 | − | 0.640563i | \(-0.778701\pi\) |
0.938697 | + | 0.344744i | \(0.112034\pi\) | |||||||
\(368\) | −2.23025 | − | 3.86291i | −0.116260 | − | 0.201368i | ||||
\(369\) | 0.472958 | + | 0.669906i | 0.0246212 | + | 0.0348739i | ||||
\(370\) | −0.593579 | −0.0308587 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −7.34348 | − | 11.4778i | −0.380742 | − | 0.595094i | ||||
\(373\) | −4.71420 | − | 8.16524i | −0.244092 | − | 0.422780i | 0.717784 | − | 0.696266i | \(-0.245157\pi\) |
−0.961876 | + | 0.273486i | \(0.911823\pi\) | |||||||
\(374\) | 1.73385 | 0.0896553 | ||||||||
\(375\) | −5.34562 | − | 8.35512i | −0.276047 | − | 0.431457i | ||||
\(376\) | 12.1623 | 0.627220 | ||||||||
\(377\) | −15.5763 | −0.802218 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.27762 | −0.373826 | −0.186913 | − | 0.982376i | \(-0.559848\pi\) | ||||
−0.186913 | + | 0.982376i | \(0.559848\pi\) | |||||||
\(380\) | −3.19436 | −0.163867 | ||||||||
\(381\) | −11.5139 | − | 17.9961i | −0.589876 | − | 0.921967i | ||||
\(382\) | −3.98229 | −0.203752 | ||||||||
\(383\) | −12.0416 | − | 20.8567i | −0.615299 | − | 1.06573i | −0.990332 | − | 0.138717i | \(-0.955702\pi\) |
0.375033 | − | 0.927011i | \(-0.377631\pi\) | |||||||
\(384\) | 0.933463 | + | 1.45899i | 0.0476356 | + | 0.0744537i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.78074 | −0.345130 | ||||||||
\(387\) | 33.3478 | − | 3.04799i | 1.69516 | − | 0.154938i | ||||
\(388\) | −5.86693 | − | 10.1618i | −0.297848 | − | 0.515888i | ||||
\(389\) | 8.14913 | − | 14.1147i | 0.413177 | − | 0.715644i | −0.582058 | − | 0.813147i | \(-0.697752\pi\) |
0.995235 | + | 0.0975035i | \(0.0310857\pi\) | |||||||
\(390\) | 1.39329 | + | 2.17770i | 0.0705522 | + | 0.110272i | ||||
\(391\) | −6.51459 | + | 11.2836i | −0.329457 | + | 0.570636i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.945916 | + | 1.82573i | −0.0477151 | + | 0.0920958i | ||||
\(394\) | −11.0584 | −0.557112 | ||||||||
\(395\) | −2.74484 | − | 4.75420i | −0.138108 | − | 0.239210i | ||||
\(396\) | 1.02704 | + | 1.45472i | 0.0516108 | + | 0.0731025i | ||||
\(397\) | 6.08619 | − | 10.5416i | 0.305457 | − | 0.529067i | −0.671906 | − | 0.740636i | \(-0.734524\pi\) |
0.977363 | + | 0.211569i | \(0.0678574\pi\) | |||||||
\(398\) | 2.80924 | + | 4.86575i | 0.140815 | + | 0.243898i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.32383 | − | 4.02499i | 0.116192 | − | 0.201250i | ||||
\(401\) | 16.6804 | + | 28.8914i | 0.832981 | + | 1.44277i | 0.895663 | + | 0.444733i | \(0.146701\pi\) |
−0.0626819 | + | 0.998034i | \(0.519965\pi\) | |||||||
\(402\) | −1.78647 | − | 2.79223i | −0.0891012 | − | 0.139264i | ||||
\(403\) | 9.89104 | − | 17.1318i | 0.492708 | − | 0.853395i | ||||
\(404\) | −0.811379 | + | 1.40535i | −0.0403676 | + | 0.0699187i | ||||
\(405\) | 1.78813 | − | 5.03407i | 0.0888529 | − | 0.250145i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.296790 | − | 0.514055i | −0.0147113 | − | 0.0254808i | ||||
\(408\) | 2.32743 | − | 4.49221i | 0.115225 | − | 0.222398i | ||||
\(409\) | 5.78074 | 0.285839 | 0.142920 | − | 0.989734i | \(-0.454351\pi\) | ||||
0.142920 | + | 0.989734i | \(0.454351\pi\) | |||||||
\(410\) | −0.162253 | −0.00801309 | ||||||||
\(411\) | 4.36333 | − | 0.198990i | 0.215227 | − | 0.00981544i | ||||
\(412\) | 3.19076 | + | 5.52655i | 0.157197 | + | 0.272274i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −13.3260 | + | 1.21800i | −0.654936 | + | 0.0598612i | ||||
\(415\) | 2.28580 | − | 3.95912i | 0.112205 | − | 0.194346i | ||||
\(416\) | −1.25729 | + | 2.17770i | −0.0616439 | + | 0.106770i | ||||
\(417\) | 8.50214 | − | 0.387740i | 0.416351 | − | 0.0189877i | ||||
\(418\) | −1.59718 | − | 2.76639i | −0.0781205 | − | 0.135309i | ||||
\(419\) | −15.4356 | + | 26.7352i | −0.754078 | + | 1.30610i | 0.191753 | + | 0.981443i | \(0.438583\pi\) |
−0.945831 | + | 0.324659i | \(0.894751\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.86693 | − | 3.23361i | −0.0909884 | − | 0.157597i | 0.816939 | − | 0.576724i | \(-0.195669\pi\) |
−0.907927 | + | 0.419128i | \(0.862336\pi\) | |||||||
\(422\) | −9.66225 | + | 16.7355i | −0.470351 | + | 0.814672i | ||||
\(423\) | 15.2915 | − | 33.1278i | 0.743500 | − | 1.61073i | ||||
\(424\) | −4.02704 | − | 6.97504i | −0.195570 | − | 0.338738i | ||||
\(425\) | −13.5759 | −0.658526 | ||||||||
\(426\) | −13.4518 | − | 21.0250i | −0.651744 | − | 1.01867i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 9.35447 | − | 16.2024i | 0.452165 | − | 0.783174i | ||||
\(429\) | −1.18929 | + | 2.29548i | −0.0574197 | + | 0.110827i | ||||
\(430\) | −3.31284 | + | 5.73801i | −0.159759 | + | 0.276711i | ||||
\(431\) | −14.0979 | − | 24.4182i | −0.679070 | − | 1.17618i | −0.975261 | − | 0.221055i | \(-0.929050\pi\) |
0.296192 | − | 0.955128i | \(-0.404283\pi\) | |||||||
\(432\) | 5.14766 | − | 0.708209i | 0.247667 | − | 0.0340737i | ||||
\(433\) | −12.5438 | −0.602815 | −0.301407 | − | 0.953495i | \(-0.597456\pi\) | ||||
−0.301407 | + | 0.953495i | \(0.597456\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.36186 | + | 0.290133i | −0.305028 | + | 0.0139108i | ||||
\(436\) | −1.43346 | − | 2.48283i | −0.0686504 | − | 0.118906i | ||||
\(437\) | 24.0043 | 1.14828 | ||||||||
\(438\) | 6.30564 | − | 12.1706i | 0.301295 | − | 0.581535i | ||||
\(439\) | −26.0406 | −1.24285 | −0.621426 | − | 0.783473i | \(-0.713446\pi\) | ||||
−0.621426 | + | 0.783473i | \(0.713446\pi\) | |||||||
\(440\) | −0.352336 | −0.0167970 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.34514 | 0.349373 | ||||||||
\(443\) | −23.5729 | −1.11998 | −0.559992 | − | 0.828498i | \(-0.689196\pi\) | ||||
−0.559992 | + | 0.828498i | \(0.689196\pi\) | |||||||
\(444\) | −1.73025 | + | 0.0789082i | −0.0821141 | + | 0.00374482i | ||||
\(445\) | 7.38151 | 0.349917 | ||||||||
\(446\) | 12.6623 | + | 21.9317i | 0.599575 | + | 1.03849i | ||||
\(447\) | −14.3830 | + | 27.7608i | −0.680291 | + | 1.31304i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.6870 | 0.645928 | 0.322964 | − | 0.946411i | \(-0.395321\pi\) | ||||
0.322964 | + | 0.946411i | \(0.395321\pi\) | |||||||
\(450\) | −8.04163 | − | 11.3903i | −0.379086 | − | 0.536944i | ||||
\(451\) | −0.0811263 | − | 0.140515i | −0.00382009 | − | 0.00661659i | ||||
\(452\) | −6.16012 | + | 10.6696i | −0.289748 | + | 0.501857i | ||||
\(453\) | 2.85087 | − | 0.130014i | 0.133946 | − | 0.00610860i | ||||
\(454\) | −2.40856 | + | 4.17174i | −0.113039 | + | 0.195790i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.31138 | + | 0.424646i | −0.436045 | + | 0.0198859i | ||||
\(457\) | −22.3523 | −1.04560 | −0.522799 | − | 0.852456i | \(-0.675112\pi\) | ||||
−0.522799 | + | 0.852456i | \(0.675112\pi\) | |||||||
\(458\) | 4.64766 | + | 8.04999i | 0.217171 | + | 0.376151i | ||||
\(459\) | −9.30972 | − | 11.9875i | −0.434541 | − | 0.559530i | ||||
\(460\) | 1.32383 | − | 2.29294i | 0.0617240 | − | 0.106909i | ||||
\(461\) | 3.98755 | + | 6.90663i | 0.185719 | + | 0.321674i | 0.943818 | − | 0.330464i | \(-0.107205\pi\) |
−0.758100 | + | 0.652138i | \(0.773872\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3676 | + | 24.8854i | −0.667719 | + | 1.15652i | 0.310821 | + | 0.950468i | \(0.399396\pi\) |
−0.978540 | + | 0.206055i | \(0.933937\pi\) | |||||||
\(464\) | −3.09718 | − | 5.36447i | −0.143783 | − | 0.249039i | ||||
\(465\) | 3.72072 | − | 7.18143i | 0.172544 | − | 0.333031i | ||||
\(466\) | −0.0971780 | + | 0.168317i | −0.00450168 | + | 0.00779714i | ||||
\(467\) | −16.7829 | + | 29.0688i | −0.776619 | + | 1.34514i | 0.157261 | + | 0.987557i | \(0.449733\pi\) |
−0.933880 | + | 0.357586i | \(0.883600\pi\) | |||||||
\(468\) | 4.35087 | + | 6.16266i | 0.201119 | + | 0.284869i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 3.60963 | + | 6.25206i | 0.166500 | + | 0.288386i | ||||
\(471\) | −6.16158 | − | 9.63046i | −0.283911 | − | 0.443748i | ||||
\(472\) | 8.64766 | 0.398041 | ||||||||
\(473\) | −6.62568 | −0.304649 | ||||||||
\(474\) | −8.63307 | − | 13.4934i | −0.396530 | − | 0.619771i | ||||
\(475\) | 12.5057 | + | 21.6606i | 0.573802 | + | 0.993855i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −24.0620 | + | 2.19927i | −1.10172 | + | 0.100698i | ||||
\(478\) | 6.82743 | − | 11.8255i | 0.312279 | − | 0.540884i | ||||
\(479\) | 0.183560 | − | 0.317935i | 0.00838707 | − | 0.0145268i | −0.861801 | − | 0.507246i | \(-0.830664\pi\) |
0.870188 | + | 0.492719i | \(0.163997\pi\) | |||||||
\(480\) | −0.472958 | + | 0.912864i | −0.0215875 | + | 0.0416663i | ||||
\(481\) | −1.25729 | − | 2.17770i | −0.0573277 | − | 0.0992945i | ||||
\(482\) | 6.50000 | − | 11.2583i | 0.296067 | − | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.32383 | + | 9.22115i | 0.241992 | + | 0.419143i | ||||
\(485\) | 3.48249 | − | 6.03184i | 0.158132 | − | 0.273892i | ||||
\(486\) | 4.54309 | − | 14.9118i | 0.206079 | − | 0.676411i | ||||
\(487\) | −14.9538 | − | 25.9007i | −0.677621 | − | 1.17367i | −0.975695 | − | 0.219131i | \(-0.929678\pi\) |
0.298075 | − | 0.954543i | \(-0.403656\pi\) | |||||||
\(488\) | −6.64766 | −0.300926 | ||||||||
\(489\) | 10.3509 | − | 0.472052i | 0.468083 | − | 0.0213469i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.255158 | + | 0.441947i | −0.0115151 | + | 0.0199448i | −0.871726 | − | 0.489994i | \(-0.836999\pi\) |
0.860210 | + | 0.509939i | \(0.170332\pi\) | |||||||
\(492\) | −0.472958 | + | 0.0215693i | −0.0213226 | + | 0.000972418i | ||||
\(493\) | −9.04689 | + | 15.6697i | −0.407451 | + | 0.705726i | ||||
\(494\) | −6.76615 | − | 11.7193i | −0.304423 | − | 0.527277i | ||||
\(495\) | −0.442991 | + | 0.959702i | −0.0199110 | + | 0.0431354i | ||||
\(496\) | 7.86693 | 0.353235 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.13667 | − | 11.8445i | 0.274991 | − | 0.530764i | ||||
\(499\) | 9.50953 | + | 16.4710i | 0.425705 | + | 0.737343i | 0.996486 | − | 0.0837597i | \(-0.0266928\pi\) |
−0.570781 | + | 0.821102i | \(0.693359\pi\) | |||||||
\(500\) | 5.72665 | 0.256104 | ||||||||
\(501\) | 12.9086 | − | 0.588695i | 0.576712 | − | 0.0263010i | ||||
\(502\) | −19.5438 | −0.872281 | ||||||||
\(503\) | 37.7807 | 1.68456 | 0.842280 | − | 0.539040i | \(-0.181213\pi\) | ||||
0.842280 | + | 0.539040i | \(0.181213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.963235 | −0.0428634 | ||||||||
\(506\) | 2.64766 | 0.117703 | ||||||||
\(507\) | 5.32004 | − | 10.2683i | 0.236271 | − | 0.456031i | ||||
\(508\) | 12.3346 | 0.547261 | ||||||||
\(509\) | −5.60817 | − | 9.71363i | −0.248578 | − | 0.430549i | 0.714554 | − | 0.699581i | \(-0.246630\pi\) |
−0.963131 | + | 0.269031i | \(0.913296\pi\) | |||||||
\(510\) | 3.00000 | − | 0.136815i | 0.132842 | − | 0.00605828i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −10.5505 | + | 25.8965i | −0.465815 | + | 1.14336i | ||||
\(514\) | −4.16372 | − | 7.21177i | −0.183654 | − | 0.318097i | ||||
\(515\) | −1.89397 | + | 3.28045i | −0.0834582 | + | 0.144554i | ||||
\(516\) | −8.89397 | + | 17.1664i | −0.391535 | + | 0.755708i | ||||
\(517\) | −3.60963 | + | 6.25206i | −0.158751 | + | 0.274965i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.9518 | − | 37.4364i | −1.05137 | − | 1.64327i | ||||
\(520\) | −1.49261 | −0.0654552 | ||||||||
\(521\) | 13.7360 | + | 23.7914i | 0.601785 | + | 1.04232i | 0.992551 | + | 0.121831i | \(0.0388767\pi\) |
−0.390766 | + | 0.920490i | \(0.627790\pi\) | |||||||
\(522\) | −18.5059 | + | 1.69145i | −0.809983 | + | 0.0740326i | ||||
\(523\) | −11.0919 | + | 19.2118i | −0.485016 | + | 0.840072i | −0.999852 | − | 0.0172166i | \(-0.994520\pi\) |
0.514836 | + | 0.857289i | \(0.327853\pi\) | |||||||
\(524\) | −0.593579 | − | 1.02811i | −0.0259306 | − | 0.0449132i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.54523 | + | 14.8008i | −0.372590 | + | 0.645344i | ||||
\(527\) | −11.4897 | − | 19.9007i | −0.500498 | − | 0.866889i | ||||
\(528\) | −1.02704 | + | 0.0468383i | −0.0446963 | + | 0.00203838i | ||||
\(529\) | 1.55195 | − | 2.68805i | 0.0674760 | − | 0.116872i | ||||
\(530\) | 2.39037 | − | 4.14024i | 0.103831 | − | 0.179841i | ||||
\(531\) | 10.8727 | − | 23.5547i | 0.471833 | − | 1.02219i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.343677 | − | 0.595265i | −0.0148863 | − | 0.0257838i | ||||
\(534\) | 21.5167 | − | 0.981271i | 0.931120 | − | 0.0424638i | ||||
\(535\) | 11.1052 | 0.480122 | ||||||||
\(536\) | 1.91381 | 0.0826641 | ||||||||
\(537\) | 11.9808 | − | 23.1244i | 0.517011 | − | 0.997891i | ||||
\(538\) | −5.00720 | − | 8.67272i | −0.215876 | − | 0.373908i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.89183 | + | 2.43599i | 0.0814115 | + | 0.104828i | ||||
\(541\) | 14.9246 | − | 25.8502i | 0.641659 | − | 1.11139i | −0.343403 | − | 0.939188i | \(-0.611580\pi\) |
0.985062 | − | 0.172198i | \(-0.0550869\pi\) | |||||||
\(542\) | 5.10457 | − | 8.84137i | 0.219260 | − | 0.379770i | ||||
\(543\) | −0.0804528 | − | 0.125747i | −0.00345256 | − | 0.00539630i | ||||
\(544\) | 1.46050 | + | 2.52967i | 0.0626186 | + | 0.108459i | ||||
\(545\) | 0.850874 | − | 1.47376i | 0.0364474 | − | 0.0631288i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.84348 | + | 15.3174i | 0.378120 | + | 0.654923i | 0.990789 | − | 0.135417i | \(-0.0432373\pi\) |
−0.612669 | + | 0.790340i | \(0.709904\pi\) | |||||||
\(548\) | −1.26089 | + | 2.18393i | −0.0538627 | + | 0.0932929i | ||||
\(549\) | −8.35807 | + | 18.1071i | −0.356714 | + | 0.772790i | ||||
\(550\) | 1.37938 | + | 2.38915i | 0.0588169 | + | 0.101874i | ||||
\(551\) | 33.3350 | 1.42012 | ||||||||
\(552\) | 3.55408 | − | 6.85980i | 0.151272 | − | 0.291972i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 9.67111 | − | 16.7508i | 0.410886 | − | 0.711675i | ||||
\(555\) | −0.554084 | − | 0.866025i | −0.0235196 | − | 0.0367607i | ||||
\(556\) | −2.45691 | + | 4.25549i | −0.104196 | + | 0.180473i | ||||
\(557\) | 15.0651 | + | 26.0935i | 0.638328 | + | 1.10562i | 0.985800 | + | 0.167926i | \(0.0537069\pi\) |
−0.347472 | + | 0.937690i | \(0.612960\pi\) | |||||||
\(558\) | 9.89104 | − | 21.4281i | 0.418721 | − | 0.907124i | ||||
\(559\) | −28.0685 | −1.18717 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.61849 | + | 2.52967i | 0.0683325 | + | 0.106803i | ||||
\(562\) | 6.40136 | + | 11.0875i | 0.270025 | + | 0.467697i | ||||
\(563\) | −4.09766 | −0.172696 | −0.0863478 | − | 0.996265i | \(-0.527520\pi\) | ||||
−0.0863478 | + | 0.996265i | \(0.527520\pi\) | |||||||
\(564\) | 11.3530 | + | 17.7446i | 0.478048 | + | 0.747182i | ||||
\(565\) | −7.31304 | −0.307662 | ||||||||
\(566\) | −16.3523 | −0.687340 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.4107 | 0.604659 | ||||||||
\(569\) | 6.23697 | 0.261467 | 0.130734 | − | 0.991418i | \(-0.458267\pi\) | ||||
0.130734 | + | 0.991418i | \(0.458267\pi\) | |||||||
\(570\) | −2.98181 | − | 4.66053i | −0.124894 | − | 0.195208i | ||||
\(571\) | 35.6021 | 1.48990 | 0.744951 | − | 0.667119i | \(-0.232473\pi\) | ||||
0.744951 | + | 0.667119i | \(0.232473\pi\) | |||||||
\(572\) | −0.746304 | − | 1.29264i | −0.0312045 | − | 0.0540479i | ||||
\(573\) | −3.71732 | − | 5.81012i | −0.155293 | − | 0.242721i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −20.7309 | −0.864539 | ||||||||
\(576\) | −1.25729 | + | 2.72382i | −0.0523873 | + | 0.113493i | ||||
\(577\) | −23.1388 | − | 40.0776i | −0.963281 | − | 1.66845i | −0.714164 | − | 0.699979i | \(-0.753193\pi\) |
−0.249118 | − | 0.968473i | \(-0.580141\pi\) | |||||||
\(578\) | −4.23385 | + | 7.33325i | −0.176105 | + | 0.305023i | ||||
\(579\) | −6.32957 | − | 9.89302i | −0.263048 | − | 0.411140i | ||||
\(580\) | 1.83842 | − | 3.18424i | 0.0763363 | − | 0.132218i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 9.34941 | − | 18.0455i | 0.387546 | − | 0.748008i | ||||
\(583\) | 4.78074 | 0.197998 | ||||||||
\(584\) | 3.95691 | + | 6.85356i | 0.163738 | + | 0.283602i | ||||
\(585\) | −1.87665 | + | 4.06560i | −0.0775898 | + | 0.168092i | ||||
\(586\) | −10.3889 | + | 17.9941i | −0.429162 | + | 0.743330i | ||||
\(587\) | −1.13161 | − | 1.96001i | −0.0467066 | − | 0.0808982i | 0.841727 | − | 0.539903i | \(-0.181539\pi\) |
−0.888434 | + | 0.459005i | \(0.848206\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −21.1680 | + | 36.6640i | −0.872212 | + | 1.51072i | ||||
\(590\) | 2.56654 | + | 4.44537i | 0.105663 | + | 0.183013i | ||||
\(591\) | −10.3226 | − | 16.1340i | −0.424614 | − | 0.663665i | ||||
\(592\) | 0.500000 | − | 0.866025i | 0.0205499 | − | 0.0355934i | ||||
\(593\) | −23.0979 | + | 40.0067i | −0.948515 | + | 1.64288i | −0.199960 | + | 0.979804i | \(0.564081\pi\) |
−0.748555 | + | 0.663072i | \(0.769252\pi\) | |||||||
\(594\) | −1.16372 | + | 2.85637i | −0.0477478 | + | 0.117198i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.02558 | − | 15.6328i | −0.369702 | − | 0.640343i | ||||
\(597\) | −4.47675 | + | 8.64065i | −0.183221 | + | 0.353638i | ||||
\(598\) | 11.2163 | 0.458670 | ||||||||
\(599\) | −16.7807 | −0.685642 | −0.342821 | − | 0.939401i | \(-0.611382\pi\) | ||||
−0.342821 | + | 0.939401i | \(0.611382\pi\) | |||||||
\(600\) | 8.04163 | − | 0.366739i | 0.328298 | − | 0.0149721i | ||||
\(601\) | 5.69961 | + | 9.87202i | 0.232492 | + | 0.402688i | 0.958541 | − | 0.284955i | \(-0.0919787\pi\) |
−0.726049 | + | 0.687643i | \(0.758645\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.40623 | − | 5.21289i | 0.0979891 | − | 0.212285i | ||||
\(604\) | −0.823832 | + | 1.42692i | −0.0335212 | + | 0.0580605i | ||||
\(605\) | −3.16012 | + | 5.47348i | −0.128477 | + | 0.222529i | ||||
\(606\) | −2.80778 | + | 0.128049i | −0.114058 | + | 0.00520163i | ||||
\(607\) | −7.21420 | − | 12.4954i | −0.292815 | − | 0.507171i | 0.681659 | − | 0.731670i | \(-0.261259\pi\) |
−0.974474 | + | 0.224499i | \(0.927925\pi\) | |||||||
\(608\) | 2.69076 | − | 4.66053i | 0.109125 | − | 0.189009i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.97296 | − | 3.41726i | −0.0798827 | − | 0.138361i | ||||
\(611\) | −15.2915 | + | 26.4857i | −0.618629 | + | 1.07150i | ||||
\(612\) | 8.72665 | − | 0.797618i | 0.352754 | − | 0.0322418i | ||||
\(613\) | 12.2053 | + | 21.1403i | 0.492969 | + | 0.853848i | 0.999967 | − | 0.00809942i | \(-0.00257815\pi\) |
−0.506998 | + | 0.861947i | \(0.669245\pi\) | |||||||
\(614\) | −22.6768 | −0.915163 | ||||||||
\(615\) | −0.151457 | − | 0.236725i | −0.00610733 | − | 0.00954566i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 24.4698 | − | 42.3830i | 0.985119 | − | 1.70628i | 0.343710 | − | 0.939076i | \(-0.388316\pi\) |
0.641408 | − | 0.767200i | \(-0.278350\pi\) | |||||||
\(618\) | −5.08472 | + | 9.81411i | −0.204538 | + | 0.394781i | ||||
\(619\) | −22.3296 | + | 38.6759i | −0.897501 | + | 1.55452i | −0.0668227 | + | 0.997765i | \(0.521286\pi\) |
−0.830678 | + | 0.556753i | \(0.812047\pi\) | |||||||
\(620\) | 2.33482 | + | 4.04403i | 0.0937687 | + | 0.162412i | ||||
\(621\) | −14.2163 | − | 18.3055i | −0.570482 | − | 0.734574i | ||||
\(622\) | −6.51459 | −0.261211 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.35087 | + | 0.198422i | −0.174174 | + | 0.00794323i | ||||
\(625\) | −9.91955 | − | 17.1812i | −0.396782 | − | 0.687246i | ||||
\(626\) | 0.266149 | 0.0106375 | ||||||||
\(627\) | 2.54523 | − | 4.91259i | 0.101647 | − | 0.196190i | ||||
\(628\) | 6.60078 | 0.263400 | ||||||||
\(629\) | −2.92101 | −0.116468 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2852 | 1.32506 | 0.662532 | − | 0.749034i | \(-0.269482\pi\) | ||||
0.662532 | + | 0.749034i | \(0.269482\pi\) | |||||||
\(632\) | 9.24844 | 0.367883 | ||||||||
\(633\) | −33.4363 | + | 1.52486i | −1.32897 | + | 0.0606079i | ||||
\(634\) | −15.7237 | −0.624469 | ||||||||
\(635\) | 3.66079 | + | 6.34067i | 0.145274 | + | 0.251622i | ||||
\(636\) | 6.41741 | − | 12.3863i | 0.254467 | − | 0.491151i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.67684 | 0.145568 | ||||||||
\(639\) | 18.1185 | − | 39.2522i | 0.716756 | − | 1.55279i | ||||
\(640\) | −0.296790 | − | 0.514055i | −0.0117316 | − | 0.0203198i | ||||
\(641\) | −15.3940 | + | 26.6631i | −0.608025 | + | 1.05313i | 0.383540 | + | 0.923524i | \(0.374705\pi\) |
−0.991566 | + | 0.129606i | \(0.958629\pi\) | |||||||
\(642\) | 32.3712 | − | 1.47629i | 1.27759 | − | 0.0582645i | ||||
\(643\) | 13.7345 | − | 23.7889i | 0.541637 | − | 0.938142i | −0.457174 | − | 0.889378i | \(-0.651138\pi\) |
0.998810 | − | 0.0487649i | \(-0.0155285\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.4641 | + | 0.522821i | −0.451399 | + | 0.0205861i | ||||
\(646\) | −15.7195 | −0.618474 | ||||||||
\(647\) | 6.63521 | + | 11.4925i | 0.260857 | + | 0.451818i | 0.966470 | − | 0.256780i | \(-0.0826615\pi\) |
−0.705613 | + | 0.708598i | \(0.749328\pi\) | |||||||
\(648\) | 5.83842 | + | 6.84929i | 0.229355 | + | 0.269066i | ||||
\(649\) | −2.56654 | + | 4.44537i | −0.100745 | + | 0.174496i | ||||
\(650\) | 5.84348 | + | 10.1212i | 0.229200 | + | 0.396986i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.99115 | + | 5.18082i | −0.117142 | + | 0.202896i | ||||
\(653\) | 8.57081 | + | 14.8451i | 0.335402 | + | 0.580933i | 0.983562 | − | 0.180571i | \(-0.0577946\pi\) |
−0.648160 | + | 0.761504i | \(0.724461\pi\) | |||||||
\(654\) | 2.28434 | − | 4.40904i | 0.0893246 | − | 0.172407i | ||||
\(655\) | 0.352336 | − | 0.610265i | 0.0137669 | − | 0.0238450i | ||||
\(656\) | 0.136673 | − | 0.236725i | 0.00533619 | − | 0.00924255i | ||||
\(657\) | 23.6429 | − | 2.16096i | 0.922397 | − | 0.0843072i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.26089 | + | 7.38008i | 0.165981 | + | 0.287487i | 0.937003 | − | 0.349321i | \(-0.113588\pi\) |
−0.771022 | + | 0.636808i | \(0.780254\pi\) | |||||||
\(660\) | −0.328893 | − | 0.514055i | −0.0128021 | − | 0.0200096i | ||||
\(661\) | −34.3360 | −1.33551 | −0.667757 | − | 0.744379i | \(-0.732746\pi\) | ||||
−0.667757 | + | 0.744379i | \(0.732746\pi\) | |||||||
\(662\) | 25.1623 | 0.977959 | ||||||||
\(663\) | 6.85641 | + | 10.7165i | 0.266281 | + | 0.416193i | ||||
\(664\) | 3.85087 | + | 6.66991i | 0.149443 | + | 0.258843i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.73025 | − | 2.45076i | −0.0670459 | − | 0.0949650i | ||||
\(667\) | −13.8150 | + | 23.9282i | −0.534918 | + | 0.926505i | ||||
\(668\) | −3.73025 | + | 6.46099i | −0.144328 | + | 0.249983i | ||||
\(669\) | −20.1783 | + | 38.9465i | −0.780138 | + | 1.50576i | ||||
\(670\) | 0.568000 | + | 0.983804i | 0.0219437 | + | 0.0380077i | ||||
\(671\) | 1.97296 | − | 3.41726i | 0.0761652 | − | 0.131922i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.70155 | − | 13.3395i | −0.296873 | − | 0.514199i | 0.678546 | − | 0.734558i | \(-0.262610\pi\) |
−0.975419 | + | 0.220359i | \(0.929277\pi\) | |||||||
\(674\) | 9.36693 | − | 16.2240i | 0.360800 | − | 0.624925i | ||||
\(675\) | 9.11177 | − | 22.3651i | 0.350712 | − | 0.860832i | ||||
\(676\) | 3.33842 | + | 5.78231i | 0.128401 | + | 0.222397i | ||||
\(677\) | 7.38151 | 0.283695 | 0.141847 | − | 0.989889i | \(-0.454696\pi\) | ||||
0.141847 | + | 0.989889i | \(0.454696\pi\) | |||||||
\(678\) | −21.3171 | + | 0.972168i | −0.818679 | + | 0.0373359i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.866926 | + | 1.50156i | −0.0332451 | + | 0.0575822i | ||||
\(681\) | −8.33482 | + | 0.380110i | −0.319391 | + | 0.0145658i | ||||
\(682\) | −2.33482 | + | 4.04403i | −0.0894050 | + | 0.154854i | ||||
\(683\) | 4.79893 | + | 8.31198i | 0.183626 | + | 0.318049i | 0.943113 | − | 0.332474i | \(-0.107883\pi\) |
−0.759487 | + | 0.650523i | \(0.774550\pi\) | |||||||
\(684\) | −9.31138 | − | 13.1888i | −0.356029 | − | 0.504286i | ||||
\(685\) | −1.49688 | −0.0571929 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −7.40642 | + | 14.2953i | −0.282573 | + | 0.545398i | ||||
\(688\) | −5.58113 | − | 9.66679i | −0.212778 | − | 0.368543i | ||||
\(689\) | 20.2527 | 0.771567 | ||||||||
\(690\) | 4.58113 | − | 0.208922i | 0.174400 | − | 0.00795354i | ||||
\(691\) | 14.1445 | 0.538084 | 0.269042 | − | 0.963128i | \(-0.413293\pi\) | ||||
0.269042 | + | 0.963128i | \(0.413293\pi\) | |||||||
\(692\) | 25.6591 | 0.975414 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.5438 | −0.855750 | ||||||||
\(695\) | −2.91674 | −0.110638 | ||||||||
\(696\) | 4.93560 | − | 9.52628i | 0.187083 | − | 0.361093i | ||||
\(697\) | −0.798447 | −0.0302433 | ||||||||
\(698\) | 1.89543 | + | 3.28298i | 0.0717431 | + | 0.124263i | ||||
\(699\) | −0.336285 | + | 0.0153363i | −0.0127195 | + | 0.000580072i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 37.3753 | 1.41164 | 0.705822 | − | 0.708389i | \(-0.250578\pi\) | ||||
0.705822 | + | 0.708389i | \(0.250578\pi\) | |||||||
\(702\) | −4.92986 | + | 12.1005i | −0.186066 | + | 0.456703i | ||||
\(703\) | 2.69076 | + | 4.66053i | 0.101484 | + | 0.175775i | ||||
\(704\) | 0.296790 | − | 0.514055i | 0.0111857 | − | 0.0193742i | ||||
\(705\) | −5.75223 | + | 11.1025i | −0.216642 | + | 0.418144i | ||||
\(706\) | −3.41741 | + | 5.91913i | −0.128616 | + | 0.222769i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8.07227 | + | 12.6168i | 0.303375 | + | 0.474170i | ||||
\(709\) | −10.4868 | −0.393838 | −0.196919 | − | 0.980420i | \(-0.563094\pi\) | ||||
−0.196919 | + | 0.980420i | \(0.563094\pi\) | |||||||
\(710\) | 4.27694 | + | 7.40789i | 0.160511 | + | 0.278013i | ||||
\(711\) | 11.6280 | − | 25.1911i | 0.436085 | − | 0.944741i | ||||
\(712\) | −6.21780 | + | 10.7695i | −0.233022 | + | 0.403606i | ||||
\(713\) | −17.5452 | − | 30.3892i | −0.657074 | − | 1.13809i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.442991 | − | 0.767282i | 0.0165669 | − | 0.0286947i | ||||
\(716\) | 7.51819 | + | 13.0219i | 0.280968 | + | 0.486651i | ||||
\(717\) | 23.6264 | − | 1.07748i | 0.882342 | − | 0.0402393i | ||||
\(718\) | 6.32237 | − | 10.9507i | 0.235949 | − | 0.408675i | ||||
\(719\) | −1.11995 | + | 1.93981i | −0.0417670 | + | 0.0723426i | −0.886153 | − | 0.463392i | \(-0.846632\pi\) |
0.844386 | + | 0.535735i | \(0.179965\pi\) | |||||||
\(720\) | −1.77335 | + | 0.162084i | −0.0660887 | + | 0.00604052i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 4.98035 | + | 8.62622i | 0.185349 | + | 0.321035i | ||||
\(723\) | 22.4933 | − | 1.02581i | 0.836534 | − | 0.0381502i | ||||
\(724\) | 0.0861875 | 0.00320313 | ||||||||
\(725\) | −28.7893 | −1.06921 | ||||||||
\(726\) | −8.48395 | + | 16.3750i | −0.314869 | + | 0.607733i | ||||
\(727\) | −0.185023 | − | 0.320469i | −0.00686211 | − | 0.0118855i | 0.862574 | − | 0.505931i | \(-0.168851\pi\) |
−0.869436 | + | 0.494045i | \(0.835518\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | − | 7.29124i | 0.962847 | − | 0.270046i | ||||
\(730\) | −2.34874 | + | 4.06813i | −0.0869307 | + | 0.150568i | ||||
\(731\) | −16.3025 | + | 28.2368i | −0.602971 | + | 1.04438i | ||||
\(732\) | −6.20535 | − | 9.69886i | −0.229356 | − | 0.358480i | ||||
\(733\) | 7.00953 | + | 12.1409i | 0.258903 | + | 0.448433i | 0.965948 | − | 0.258735i | \(-0.0833057\pi\) |
−0.707045 | + | 0.707168i | \(0.749972\pi\) | |||||||
\(734\) | −3.27188 | + | 5.66707i | −0.120767 | + | 0.209175i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.23025 | + | 3.86291i | 0.0822082 | + | 0.142389i | ||||
\(737\) | −0.568000 | + | 0.983804i | −0.0209225 | + | 0.0362389i | ||||
\(738\) | −0.472958 | − | 0.669906i | −0.0174098 | − | 0.0246596i | ||||
\(739\) | 13.3872 | + | 23.1874i | 0.492458 | + | 0.852962i | 0.999962 | − | 0.00868705i | \(-0.00276521\pi\) |
−0.507504 | + | 0.861649i | \(0.669432\pi\) | |||||||
\(740\) | 0.593579 | 0.0218204 | ||||||||
\(741\) | 10.7824 | − | 20.8113i | 0.396101 | − | 0.764521i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.04669 | + | 8.74113i | −0.185145 | + | 0.320681i | −0.943625 | − | 0.331015i | \(-0.892609\pi\) |
0.758480 | + | 0.651696i | \(0.225942\pi\) | |||||||
\(744\) | 7.34348 | + | 11.4778i | 0.269225 | + | 0.420795i | ||||
\(745\) | 5.35740 | − | 9.27928i | 0.196280 | − | 0.339967i | ||||
\(746\) | 4.71420 | + | 8.16524i | 0.172599 | + | 0.298951i | ||||
\(747\) | 23.0093 | − | 2.10306i | 0.841867 | − | 0.0769468i | ||||
\(748\) | −1.73385 | −0.0633959 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.34562 | + | 8.35512i | 0.195194 | + | 0.305086i | ||||
\(751\) | −5.75729 | − | 9.97193i | −0.210087 | − | 0.363881i | 0.741655 | − | 0.670782i | \(-0.234041\pi\) |
−0.951741 | + | 0.306901i | \(0.900708\pi\) | |||||||
\(752\) | −12.1623 | −0.443512 | ||||||||
\(753\) | −18.2434 | − | 28.5141i | −0.664826 | − | 1.03911i | ||||
\(754\) | 15.5763 | 0.567254 | ||||||||
\(755\) | −0.978019 | −0.0355938 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.2484 | −0.554214 | −0.277107 | − | 0.960839i | \(-0.589376\pi\) | ||||
−0.277107 | + | 0.960839i | \(0.589376\pi\) | |||||||
\(758\) | 7.27762 | 0.264335 | ||||||||
\(759\) | 2.47150 | + | 3.86291i | 0.0897096 | + | 0.140215i | ||||
\(760\) | 3.19436 | 0.115871 | ||||||||
\(761\) | −0.850874 | − | 1.47376i | −0.0308442 | − | 0.0534236i | 0.850191 | − | 0.526474i | \(-0.176486\pi\) |
−0.881035 | + | 0.473050i | \(0.843153\pi\) | |||||||
\(762\) | 11.5139 | + | 17.9961i | 0.417105 | + | 0.651929i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.98229 | 0.144074 | ||||||||
\(765\) | 3.00000 | + | 4.24925i | 0.108465 | + | 0.153632i | ||||
\(766\) | 12.0416 | + | 20.8567i | 0.435082 | + | 0.753584i | ||||
\(767\) | −10.8727 | + | 18.8320i | −0.392589 | + | 0.679984i | ||||
\(768\) | −0.933463 | − | 1.45899i | −0.0336834 | − | 0.0526467i | ||||
\(769\) | −24.1211 | + | 41.7790i | −0.869829 | + | 1.50659i | −0.00765823 | + | 0.999971i | \(0.502438\pi\) |
−0.862171 | + | 0.506618i | \(0.830896\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.63521 | − | 12.8067i | 0.238961 | − | 0.461223i | ||||
\(772\) | 6.78074 | 0.244044 | ||||||||
\(773\) | −3.10243 | − | 5.37357i | −0.111587 | − | 0.193274i | 0.804823 | − | 0.593514i | \(-0.202260\pi\) |
−0.916410 | + | 0.400240i | \(0.868927\pi\) | |||||||
\(774\) | −33.3478 | + | 3.04799i | −1.19866 | + | 0.109558i | ||||
\(775\) | 18.2814 | − | 31.6643i | 0.656688 | − | 1.13742i | ||||
\(776\) | 5.86693 | + | 10.1618i | 0.210610 | + | 0.364788i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.14913 | + | 14.1147i | −0.292160 | + | 0.506037i | ||||
\(779\) | 0.735508 | + | 1.27394i | 0.0263523 | + | 0.0456436i | ||||
\(780\) | −1.39329 | − | 2.17770i | −0.0498879 | − | 0.0779741i | ||||
\(781\) | −4.27694 | + | 7.40789i | −0.153041 | + | 0.265075i | ||||
\(782\) | 6.51459 | − | 11.2836i | 0.232961 | − | 0.403501i | ||||
\(783\) | −19.7424 | − | 25.4210i | −0.705536 | − | 0.908474i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.95904 | + | 3.39316i | 0.0699212 | + | 0.121107i | ||||
\(786\) | 0.945916 | − | 1.82573i | 0.0337397 | − | 0.0651215i | ||||
\(787\) | −6.09766 | −0.217358 | −0.108679 | − | 0.994077i | \(-0.534662\pi\) | ||||
−0.108679 | + | 0.994077i | \(0.534662\pi\) | |||||||
\(788\) | 11.0584 | 0.393938 | ||||||||
\(789\) | −29.5708 | + | 1.34858i | −1.05275 | + | 0.0480107i | ||||
\(790\) | 2.74484 | + | 4.75420i | 0.0976571 | + | 0.169147i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −1.02704 | − | 1.45472i | −0.0364944 | − | 0.0516913i | ||||
\(793\) | 8.35807 | − | 14.4766i | 0.296804 | − | 0.514079i | ||||
\(794\) | −6.08619 | + | 10.5416i | −0.215991 | + | 0.374107i | ||||
\(795\) | 8.27188 | − | 0.377240i | 0.293373 | − | 0.0133793i | ||||
\(796\) | −2.80924 | − | 4.86575i | −0.0995710 | − | 0.172462i | ||||
\(797\) | 6.22860 | − | 10.7882i | 0.220628 | − | 0.382139i | −0.734371 | − | 0.678749i | \(-0.762523\pi\) |
0.954999 | + | 0.296609i | \(0.0958559\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.7630 | + | 30.7665i | 0.628411 | + | 1.08844i | ||||
\(800\) | −2.32383 | + | 4.02499i | −0.0821599 | + | 0.142305i | ||||
\(801\) | 21.5167 | + | 30.4767i | 0.760256 | + | 1.07684i | ||||
\(802\) | −16.6804 | − | 28.8914i | −0.589007 | − | 1.02019i | ||||
\(803\) | −4.69748 | −0.165770 | ||||||||
\(804\) | 1.78647 | + | 2.79223i | 0.0630040 | + | 0.0984744i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −9.89104 | + | 17.1318i | −0.348397 | + | 0.603442i | ||||
\(807\) | 7.97937 | − | 15.4011i | 0.280887 | − | 0.542145i | ||||
\(808\) | 0.811379 | − | 1.40535i | 0.0285442 | − | 0.0494400i | ||||
\(809\) | −2.81644 | − | 4.87822i | −0.0990208 | − | 0.171509i | 0.812259 | − | 0.583297i | \(-0.198238\pi\) |
−0.911280 | + | 0.411788i | \(0.864904\pi\) | |||||||
\(810\) | −1.78813 | + | 5.03407i | −0.0628285 | + | 0.176879i | ||||
\(811\) | 45.6414 | 1.60269 | 0.801344 | − | 0.598204i | \(-0.204119\pi\) | ||||
0.801344 | + | 0.598204i | \(0.204119\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 17.6644 | − | 0.805585i | 0.619517 | − | 0.0282531i | ||||
\(814\) | 0.296790 | + | 0.514055i | 0.0104025 | + | 0.0180176i | ||||
\(815\) | −3.55096 | −0.124385 | ||||||||
\(816\) | −2.32743 | + | 4.49221i | −0.0814764 | + | 0.157259i | ||||
\(817\) | 60.0698 | 2.10158 | ||||||||
\(818\) | −5.78074 | −0.202119 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.162253 | 0.00566611 | ||||||||
\(821\) | 32.6946 | 1.14105 | 0.570524 | − | 0.821281i | \(-0.306740\pi\) | ||||
0.570524 | + | 0.821281i | \(0.306740\pi\) | |||||||
\(822\) | −4.36333 | + | 0.198990i | −0.152189 | + | 0.00694056i | ||||
\(823\) | −10.4399 | −0.363911 | −0.181956 | − | 0.983307i | \(-0.558243\pi\) | ||||
−0.181956 | + | 0.983307i | \(0.558243\pi\) | |||||||
\(824\) | −3.19076 | − | 5.52655i | −0.111155 | − | 0.192527i | ||||
\(825\) | −2.19815 | + | 4.24268i | −0.0765297 | + | 0.147711i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.7060 | 0.580925 | 0.290463 | − | 0.956886i | \(-0.406191\pi\) | ||||
0.290463 | + | 0.956886i | \(0.406191\pi\) | |||||||
\(828\) | 13.3260 | − | 1.21800i | 0.463109 | − | 0.0423283i | ||||
\(829\) | 13.1046 | + | 22.6978i | 0.455141 | + | 0.788327i | 0.998696 | − | 0.0510466i | \(-0.0162557\pi\) |
−0.543556 | + | 0.839373i | \(0.682922\pi\) | |||||||
\(830\) | −2.28580 | + | 3.95912i | −0.0793412 | + | 0.137423i | ||||
\(831\) | 33.4669 | − | 1.52626i | 1.16095 | − | 0.0529454i | ||||
\(832\) | 1.25729 | − | 2.17770i | 0.0435888 | − | 0.0754981i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −8.50214 | + | 0.387740i | −0.294405 | + | 0.0134263i | ||||
\(835\) | −4.42840 | −0.153251 | ||||||||
\(836\) | 1.59718 | + | 2.76639i | 0.0552396 | + | 0.0956777i | ||||
\(837\) | 40.4963 | − | 5.57143i | 1.39976 | − | 0.192577i | ||||
\(838\) | 15.4356 | − | 26.7352i | 0.533214 | − | 0.923554i | ||||
\(839\) | −11.1886 | − | 19.3793i | −0.386274 | − | 0.669046i | 0.605671 | − | 0.795715i | \(-0.292905\pi\) |
−0.991945 | + | 0.126669i | \(0.959571\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.68502 | + | 8.11470i | −0.161553 | + | 0.279817i | ||||
\(842\) | 1.86693 | + | 3.23361i | 0.0643385 | + | 0.111438i | ||||
\(843\) | −10.2011 | + | 19.6893i | −0.351344 | + | 0.678134i | ||||
\(844\) | 9.66225 | − | 16.7355i | 0.332588 | − | 0.576060i | ||||
\(845\) | −1.98162 | + | 3.43226i | −0.0681697 | + | 0.118073i | ||||
\(846\) | −15.2915 | + | 33.1278i | −0.525734 | + | 1.13896i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.02704 | + | 6.97504i | 0.138289 | + | 0.239524i | ||||
\(849\) | −15.2643 | − | 23.8579i | −0.523869 | − | 0.818800i | ||||
\(850\) | 13.5759 | 0.465649 | ||||||||
\(851\) | −4.46050 | −0.152904 | ||||||||
\(852\) | 13.4518 | + | 21.0250i | 0.460853 | + | 0.720306i | ||||
\(853\) | −4.96264 | − | 8.59555i | −0.169918 | − | 0.294306i | 0.768473 | − | 0.639882i | \(-0.221017\pi\) |
−0.938391 | + | 0.345576i | \(0.887683\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.01625 | − | 8.70086i | 0.137353 | − | 0.297563i | ||||
\(856\) | −9.35447 | + | 16.2024i | −0.319729 | + | 0.553787i | ||||
\(857\) | 3.89776 | − | 6.75112i | 0.133145 | − | 0.230614i | −0.791742 | − | 0.610855i | \(-0.790826\pi\) |
0.924887 | + | 0.380241i | \(0.124159\pi\) | |||||||
\(858\) | 1.18929 | − | 2.29548i | 0.0406019 | − | 0.0783663i | ||||
\(859\) | 8.17111 | + | 14.1528i | 0.278795 | + | 0.482886i | 0.971085 | − | 0.238732i | \(-0.0767318\pi\) |
−0.692291 | + | 0.721619i | \(0.743398\pi\) | |||||||
\(860\) | 3.31284 | − | 5.73801i | 0.112967 | − | 0.195664i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.0979 | + | 24.4182i | 0.480175 | + | 0.831687i | ||||
\(863\) | 0.730252 | − | 1.26483i | 0.0248581 | − | 0.0430555i | −0.853329 | − | 0.521373i | \(-0.825420\pi\) |
0.878187 | + | 0.478318i | \(0.158753\pi\) | |||||||
\(864\) | −5.14766 | + | 0.708209i | −0.175127 | + | 0.0240938i | ||||
\(865\) | 7.61537 | + | 13.1902i | 0.258930 | + | 0.448480i | ||||
\(866\) | 12.5438 | 0.426255 | ||||||||
\(867\) | −14.6513 | + | 0.668172i | −0.497583 | + | 0.0226923i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.74484 | + | 4.75420i | −0.0931124 | + | 0.161275i | ||||
\(870\) | 6.36186 | − | 0.290133i | 0.215687 | − | 0.00983643i | ||||
\(871\) | −2.40623 | + | 4.16771i | −0.0815319 | + | 0.141217i | ||||
\(872\) | 1.43346 | + | 2.48283i | 0.0485432 | + | 0.0840792i | ||||
\(873\) | 35.0554 | − | 3.20407i | 1.18645 | − | 0.108441i | ||||
\(874\) | −24.0043 | −0.811957 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −6.30564 | + | 12.1706i | −0.213048 | + | 0.411207i | ||||
\(877\) | 1.20467 | + | 2.08655i | 0.0406789 | + | 0.0704579i | 0.885648 | − | 0.464357i | \(-0.153715\pi\) |
−0.844969 | + | 0.534815i | \(0.820381\pi\) | |||||||
\(878\) | 26.0406 | 0.878829 | ||||||||
\(879\) | −35.9509 | + | 1.63954i | −1.21259 | + | 0.0553003i | ||||
\(880\) | 0.352336 | 0.0118773 | ||||||||
\(881\) | 18.9607 | 0.638802 | 0.319401 | − | 0.947620i | \(-0.396518\pi\) | ||||
0.319401 | + | 0.947620i | \(0.396518\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.64008 | 0.122498 | 0.0612492 | − | 0.998123i | \(-0.480492\pi\) | ||||
0.0612492 | + | 0.998123i | \(0.480492\pi\) | |||||||
\(884\) | −7.34514 | −0.247044 | ||||||||
\(885\) | −4.08998 | + | 7.89414i | −0.137483 | + | 0.265359i | ||||
\(886\) | 23.5729 | 0.791949 | ||||||||
\(887\) | −12.2286 | − | 21.1805i | −0.410596 | − | 0.711173i | 0.584359 | − | 0.811495i | \(-0.301346\pi\) |
−0.994955 | + | 0.100322i | \(0.968013\pi\) | |||||||
\(888\) | 1.73025 | − | 0.0789082i | 0.0580635 | − | 0.00264799i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −7.38151 | −0.247429 | ||||||||
\(891\) | −5.25370 | + | 0.968468i | −0.176005 | + | 0.0324449i | ||||
\(892\) | −12.6623 | − | 21.9317i | −0.423964 | − | 0.734326i | ||||
\(893\) | 32.7257 | − | 56.6825i | 1.09512 | − | 1.89681i | ||||
\(894\) | 14.3830 | − | 27.7608i | 0.481039 | − | 0.928461i | ||||
\(895\) | −4.46264 | + | 7.72952i | −0.149170 | + | 0.258369i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.4700 | + | 16.3645i | 0.349584 | + | 0.546395i | ||||
\(898\) | −13.6870 | −0.456740 | ||||||||
\(899\) | −24.3653 | − | 42.2019i | −0.812627 | − | 1.40751i | ||||
\(900\) | 8.04163 | + | 11.3903i | 0.268054 | + | 0.379677i | ||||
\(901\) | 11.7630 | − | 20.3742i | 0.391883 | − | 0.678762i | ||||
\(902\) | 0.0811263 | + | 0.140515i | 0.00270121 | + | 0.00467863i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.16012 | − | 10.6696i | 0.204882 | − | 0.354867i | ||||
\(905\) | 0.0255796 | + | 0.0443051i | 0.000850293 | + | 0.00147275i | ||||
\(906\) | −2.85087 | + | 0.130014i | −0.0947139 | + | 0.00431943i | ||||
\(907\) | −5.01838 | + | 8.69209i | −0.166633 | + | 0.288616i | −0.937234 | − | 0.348701i | \(-0.886623\pi\) |
0.770601 | + | 0.637318i | \(0.219956\pi\) | |||||||
\(908\) | 2.40856 | − | 4.17174i | 0.0799308 | − | 0.138444i | ||||
\(909\) | −2.80778 | − | 3.97699i | −0.0931282 | − | 0.131908i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.4459 | + | 19.8249i | 0.379220 | + | 0.656828i | 0.990949 | − | 0.134239i | \(-0.0428590\pi\) |
−0.611729 | + | 0.791067i | \(0.709526\pi\) | |||||||
\(912\) | 9.31138 | − | 0.424646i | 0.308331 | − | 0.0140614i | ||||
\(913\) | −4.57160 | −0.151298 | ||||||||
\(914\) | 22.3523 | 0.739350 | ||||||||
\(915\) | 3.14406 | − | 6.06841i | 0.103940 | − | 0.200615i | ||||
\(916\) | −4.64766 | − | 8.04999i | −0.153563 | − | 0.265979i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 9.30972 | + | 11.9875i | 0.307267 | + | 0.395648i | ||||
\(919\) | 10.8910 | − | 18.8638i | 0.359262 | − | 0.622261i | −0.628575 | − | 0.777749i | \(-0.716362\pi\) |
0.987838 | + | 0.155488i | \(0.0496950\pi\) | |||||||
\(920\) | −1.32383 | + | 2.29294i | −0.0436454 | + | 0.0755961i | ||||
\(921\) | −21.1680 | − | 33.0852i | −0.697509 | − | 1.09020i | ||||
\(922\) | −3.98755 | − | 6.90663i | −0.131323 | − | 0.227458i | ||||
\(923\) | −18.1185 | + | 31.3821i | −0.596377 | + | 1.03296i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.32383 | − | 4.02499i | −0.0764071 | − | 0.132341i | ||||
\(926\) | 14.3676 | − | 24.8854i | 0.472149 | − | 0.817785i | ||||
\(927\) | −19.0651 | + | 1.74255i | −0.626179 | + | 0.0572329i | ||||
\(928\) | 3.09718 | + | 5.36447i | 0.101670 | + | 0.176097i | ||||
\(929\) | 32.8377 | 1.07737 | 0.538686 | − | 0.842507i | \(-0.318921\pi\) | ||||
0.538686 | + | 0.842507i | \(0.318921\pi\) | |||||||
\(930\) | −3.72072 | + | 7.18143i | −0.122007 | + | 0.235488i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0.0971780 | − | 0.168317i | 0.00318317 | − | 0.00551341i | ||||
\(933\) | −6.08113 | − | 9.50471i | −0.199087 | − | 0.311170i | ||||
\(934\) | 16.7829 | − | 29.0688i | 0.549152 | − | 0.951160i | ||||
\(935\) | −0.514589 | − | 0.891294i | −0.0168289 | − | 0.0291484i | ||||
\(936\) | −4.35087 | − | 6.16266i | −0.142213 | − | 0.201433i | ||||
\(937\) | 8.78074 | 0.286854 | 0.143427 | − | 0.989661i | \(-0.454188\pi\) | ||||
0.143427 | + | 0.989661i | \(0.454188\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.248440 | + | 0.388308i | 0.00810754 | + | 0.0126720i | ||||
\(940\) | −3.60963 | − | 6.25206i | −0.117733 | − | 0.203920i | ||||
\(941\) | −4.26615 | −0.139072 | −0.0695362 | − | 0.997579i | \(-0.522152\pi\) | ||||
−0.0695362 | + | 0.997579i | \(0.522152\pi\) | |||||||
\(942\) | 6.16158 | + | 9.63046i | 0.200755 | + | 0.313777i | ||||
\(943\) | −1.21926 | −0.0397046 | ||||||||
\(944\) | −8.64766 | −0.281457 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.62568 | 0.215420 | ||||||||
\(947\) | −23.0584 | −0.749296 | −0.374648 | − | 0.927167i | \(-0.622236\pi\) | ||||
−0.374648 | + | 0.927167i | \(0.622236\pi\) | |||||||
\(948\) | 8.63307 | + | 13.4934i | 0.280389 | + | 0.438244i | ||||
\(949\) | −19.9000 | −0.645981 | ||||||||
\(950\) | −12.5057 | − | 21.6606i | −0.405740 | − | 0.702762i | ||||
\(951\) | −14.6775 | − | 22.9407i | −0.475951 | − | 0.743904i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −36.5552 | −1.18414 | −0.592070 | − | 0.805886i | \(-0.701689\pi\) | ||||
−0.592070 | + | 0.805886i | \(0.701689\pi\) | |||||||
\(954\) | 24.0620 | − | 2.19927i | 0.779035 | − | 0.0712039i | ||||
\(955\) | 1.18190 | + | 2.04712i | 0.0382455 | + | 0.0662431i | ||||
\(956\) | −6.82743 | + | 11.8255i | −0.220815 | + | 0.382463i | ||||
\(957\) | 3.43219 | + | 5.36447i | 0.110947 | + | 0.173409i | ||||
\(958\) | −0.183560 | + | 0.317935i | −0.00593056 | + | 0.0102720i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0.472958 | − | 0.912864i | 0.0152647 | − | 0.0294625i | ||||
\(961\) | 30.8885 | 0.996404 | ||||||||
\(962\) | 1.25729 | + | 2.17770i | 0.0405368 | + | 0.0702118i | ||||
\(963\) | 32.3712 | + | 45.8511i | 1.04315 | + | 1.47753i | ||||
\(964\) | −6.50000 | + | 11.2583i | −0.209351 | + | 0.362606i | ||||
\(965\) | 2.01245 | + | 3.48567i | 0.0647832 | + | 0.112208i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.7719 | − | 46.3703i | 0.860926 | − | 1.49117i | −0.0101108 | − | 0.999949i | \(-0.503218\pi\) |
0.871037 | − | 0.491218i | \(-0.163448\pi\) | |||||||
\(968\) | −5.32383 | − | 9.22115i | −0.171114 | − | 0.296379i | ||||
\(969\) | −14.6735 | − | 22.9345i | −0.471382 | − | 0.736762i | ||||
\(970\) | −3.48249 | + | 6.03184i | −0.111816 | + | 0.193671i | ||||
\(971\) | 15.9897 | − | 27.6949i | 0.513133 | − | 0.888773i | −0.486751 | − | 0.873541i | \(-0.661818\pi\) |
0.999884 | − | 0.0152321i | \(-0.00484870\pi\) | |||||||
\(972\) | −4.54309 | + | 14.9118i | −0.145720 | + | 0.478295i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 14.9538 | + | 25.9007i | 0.479150 | + | 0.829913i | ||||
\(975\) | −9.31205 | + | 17.9733i | −0.298224 | + | 0.575608i | ||||
\(976\) | 6.64766 | 0.212787 | ||||||||
\(977\) | −27.4208 | −0.877270 | −0.438635 | − | 0.898665i | \(-0.644538\pi\) | ||||
−0.438635 | + | 0.898665i | \(0.644538\pi\) | |||||||
\(978\) | −10.3509 | + | 0.472052i | −0.330984 | + | 0.0150946i | ||||
\(979\) | −3.69076 | − | 6.39258i | −0.117957 | − | 0.204308i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.56507 | − | 0.782849i | 0.273462 | − | 0.0249945i | ||||
\(982\) | 0.255158 | − | 0.441947i | 0.00814243 | − | 0.0141031i | ||||
\(983\) | −29.5782 | + | 51.2309i | −0.943398 | + | 1.63401i | −0.184471 | + | 0.982838i | \(0.559057\pi\) |
−0.758927 | + | 0.651175i | \(0.774276\pi\) | |||||||
\(984\) | 0.472958 | − | 0.0215693i | 0.0150773 | − | 0.000687603i | ||||
\(985\) | 3.28201 | + | 5.68460i | 0.104573 | + | 0.181126i | ||||
\(986\) | 9.04689 | − | 15.6697i | 0.288112 | − | 0.499024i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.76615 | + | 11.7193i | 0.215260 | + | 0.372841i | ||||
\(989\) | −24.8946 | + | 43.1188i | −0.791604 | + | 1.37110i | ||||
\(990\) | 0.442991 | − | 0.959702i | 0.0140792 | − | 0.0305013i | ||||
\(991\) | 6.41887 | + | 11.1178i | 0.203902 | + | 0.353169i | 0.949782 | − | 0.312911i | \(-0.101304\pi\) |
−0.745880 | + | 0.666080i | \(0.767971\pi\) | |||||||
\(992\) | −7.86693 | −0.249775 | ||||||||
\(993\) | 23.4880 | + | 36.7114i | 0.745370 | + | 1.16500i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.66751 | − | 2.88821i | 0.0528636 | − | 0.0915624i | ||||
\(996\) | −6.13667 | + | 11.8445i | −0.194448 | + | 0.375307i | ||||
\(997\) | −2.89037 | + | 5.00627i | −0.0915389 | + | 0.158550i | −0.908159 | − | 0.418626i | \(-0.862512\pi\) |
0.816620 | + | 0.577176i | \(0.195845\pi\) | |||||||
\(998\) | −9.50953 | − | 16.4710i | −0.301019 | − | 0.521380i | ||||
\(999\) | 1.96050 | − | 4.81211i | 0.0620276 | − | 0.152248i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))