Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(25,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.e (of order \(3\), degree \(2\), 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: | \(1.00611506547\) |
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: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.25 |
Dual form | 126.2.e.c.121.2 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −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 | \(-0.875707\pi\) |
0.791999 | + | 0.610522i | \(0.209040\pi\) | |||||||
\(6\) | −0.933463 | + | 1.45899i | −0.381085 | + | 0.595630i | ||||
\(7\) | 2.32383 | − | 1.26483i | 0.878326 | − | 0.478062i | ||||
\(8\) | −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 | 0.907294 | − | 0.420497i | \(-0.138144\pi\) |
−0.817808 | + | 0.575491i | \(0.804811\pi\) | |||||||
\(12\) | 0.933463 | − | 1.45899i | 0.269467 | − | 0.421174i | ||||
\(13\) | −1.25729 | − | 2.17770i | −0.348711 | − | 0.603985i | 0.637310 | − | 0.770608i | \(-0.280047\pi\) |
−0.986021 | + | 0.166623i | \(0.946714\pi\) | |||||||
\(14\) | −2.32383 | + | 1.26483i | −0.621070 | + | 0.338041i | ||||
\(15\) | 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 | \(-0.718078\pi\) |
0.986985 | + | 0.160813i | \(0.0514116\pi\) | |||||||
\(18\) | 1.25729 | + | 2.72382i | 0.296347 | + | 0.642011i | ||||
\(19\) | 2.69076 | + | 4.66053i | 0.617302 | + | 1.06920i | 0.989976 | + | 0.141236i | \(0.0451077\pi\) |
−0.372674 | + | 0.927962i | \(0.621559\pi\) | |||||||
\(20\) | −0.296790 | + | 0.514055i | −0.0663642 | + | 0.114946i | ||||
\(21\) | 0.323832 | − | 4.57112i | 0.0706659 | − | 0.997500i | ||||
\(22\) | −0.296790 | − | 0.514055i | −0.0632758 | − | 0.109597i | ||||
\(23\) | −2.23025 | + | 3.86291i | −0.465040 | + | 0.805473i | −0.999203 | − | 0.0399086i | \(-0.987293\pi\) |
0.534164 | + | 0.845381i | \(0.320627\pi\) | |||||||
\(24\) | −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 | ||||
\(28\) | 2.32383 | − | 1.26483i | 0.439163 | − | 0.239031i | ||||
\(29\) | −3.09718 | + | 5.36447i | −0.575132 | + | 0.996157i | 0.420896 | + | 0.907109i | \(0.361716\pi\) |
−0.996027 | + | 0.0890480i | \(0.971618\pi\) | |||||||
\(30\) | −0.472958 | − | 0.912864i | −0.0863499 | − | 0.166665i | ||||
\(31\) | −7.86693 | −1.41294 | −0.706471 | − | 0.707742i | \(-0.749714\pi\) | ||||
−0.706471 | + | 0.707742i | \(0.749714\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.02704 | + | 0.0468383i | 0.178785 | + | 0.00815350i | ||||
\(34\) | −1.46050 | + | 2.52967i | −0.250475 | + | 0.433835i | ||||
\(35\) | −0.0394951 | + | 1.56997i | −0.00667590 | + | 0.265373i | ||||
\(36\) | −1.25729 | − | 2.72382i | −0.209549 | − | 0.453970i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | −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 | \(-0.173461\pi\) |
−0.876500 | + | 0.481401i | \(0.840128\pi\) | |||||||
\(42\) | −0.323832 | + | 4.57112i | −0.0499683 | + | 0.705339i | ||||
\(43\) | −5.58113 | + | 9.66679i | −0.851114 | + | 1.47417i | 0.0290902 | + | 0.999577i | \(0.490739\pi\) |
−0.880204 | + | 0.474596i | \(0.842594\pi\) | |||||||
\(44\) | 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 | \(-0.152769\pi\) | ||||
0.887023 | + | 0.461724i | \(0.152769\pi\) | |||||||
\(48\) | 0.933463 | − | 1.45899i | 0.134734 | − | 0.210587i | ||||
\(49\) | 3.80039 | − | 5.87852i | 0.542913 | − | 0.839789i | ||||
\(50\) | −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 | −0.444888 | − | 0.895586i | \(-0.646756\pi\) |
0.998044 | − | 0.0625092i | \(-0.0199103\pi\) | |||||||
\(54\) | 5.14766 | + | 0.708209i | 0.700508 | + | 0.0963750i | ||||
\(55\) | −0.352336 | −0.0475090 | ||||||||
\(56\) | −2.32383 | + | 1.26483i | −0.310535 | + | 0.169021i | ||||
\(57\) | 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 | \(-0.309680\pi\) | ||||
0.562915 | + | 0.826515i | \(0.309680\pi\) | |||||||
\(60\) | 0.472958 | + | 0.912864i | 0.0610586 | + | 0.117850i | ||||
\(61\) | −6.64766 | −0.851146 | −0.425573 | − | 0.904924i | \(-0.639927\pi\) | ||||
−0.425573 | + | 0.904924i | \(0.639927\pi\) | |||||||
\(62\) | 7.86693 | 0.999101 | ||||||||
\(63\) | −6.36693 | − | 4.73944i | −0.802157 | − | 0.597113i | ||||
\(64\) | 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 | ||||
\(70\) | 0.0394951 | − | 1.56997i | 0.00472057 | − | 0.187647i | ||||
\(71\) | −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 | \(-0.680063\pi\) |
0.999115 | + | 0.0420732i | \(0.0133963\pi\) | |||||||
\(74\) | −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 | ||||
\(77\) | 1.33988 | + | 0.819187i | 0.152694 | + | 0.0933550i | ||||
\(78\) | 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 | \(-0.694420\pi\) |
0.996201 | + | 0.0870787i | \(0.0277532\pi\) | |||||||
\(84\) | 0.323832 | − | 4.57112i | 0.0353329 | − | 0.498750i | ||||
\(85\) | 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 | −0.980853 | − | 0.194751i | \(-0.937610\pi\) |
0.321767 | − | 0.946819i | \(-0.395723\pi\) | |||||||
\(90\) | −1.77335 | − | 0.162084i | −0.186927 | − | 0.0170852i | ||||
\(91\) | −5.67617 | − | 3.47033i | −0.595024 | − | 0.363790i | ||||
\(92\) | −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 | −0.397752 | − | 0.917493i | \(-0.630210\pi\) |
0.993448 | − | 0.114283i | \(-0.0364570\pi\) | |||||||
\(98\) | −3.80039 | + | 5.87852i | −0.383897 | + | 0.593821i | ||||
\(99\) | 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 | \(-0.140940\pi\) |
−0.822831 | + | 0.568287i | \(0.807607\pi\) | |||||||
\(102\) | 2.32743 | + | 4.49221i | 0.230450 | + | 0.444795i | ||||
\(103\) | −3.19076 | + | 5.52655i | −0.314395 | + | 0.544548i | −0.979309 | − | 0.202372i | \(-0.935135\pi\) |
0.664914 | + | 0.746920i | \(0.268468\pi\) | |||||||
\(104\) | 1.25729 | + | 2.17770i | 0.123288 | + | 0.213541i | ||||
\(105\) | 2.25370 | + | 1.52313i | 0.219938 | + | 0.148642i | ||||
\(106\) | −4.02704 | + | 6.97504i | −0.391141 | + | 0.677476i | ||||
\(107\) | 9.35447 | + | 16.2024i | 0.904331 | + | 1.56635i | 0.821813 | + | 0.569758i | \(0.192963\pi\) |
0.0825182 | + | 0.996590i | \(0.473704\pi\) | |||||||
\(108\) | −5.14766 | − | 0.708209i | −0.495334 | − | 0.0681474i | ||||
\(109\) | −1.43346 | + | 2.48283i | −0.137301 | + | 0.237812i | −0.926474 | − | 0.376359i | \(-0.877176\pi\) |
0.789173 | + | 0.614171i | \(0.210509\pi\) | |||||||
\(110\) | 0.352336 | 0.0335940 | ||||||||
\(111\) | 1.73025 | + | 0.0789082i | 0.164228 | + | 0.00748964i | ||||
\(112\) | 2.32383 | − | 1.26483i | 0.219581 | − | 0.119516i | ||||
\(113\) | −6.16012 | − | 10.6696i | −0.579495 | − | 1.00371i | −0.995537 | − | 0.0943695i | \(-0.969916\pi\) |
0.416042 | − | 0.909345i | \(-0.363417\pi\) | |||||||
\(114\) | −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 | ||||||||
\(119\) | 0.194356 | − | 7.72582i | 0.0178166 | − | 0.708225i | ||||
\(120\) | −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 | ||||||||
\(126\) | 6.36693 | + | 4.73944i | 0.567211 | + | 0.422223i | ||||
\(127\) | 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 | \(-0.816818\pi\) |
0.890791 | + | 0.454414i | \(0.150151\pi\) | |||||||
\(132\) | 1.02704 | + | 0.0468383i | 0.0893925 | + | 0.00407675i | ||||
\(133\) | 12.1477 | + | 7.42692i | 1.05334 | + | 0.643996i | ||||
\(134\) | 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 | 0.807123 | − | 0.590383i | \(-0.201023\pi\) |
−0.914848 | + | 0.403797i | \(0.867690\pi\) | |||||||
\(138\) | −3.55408 | − | 6.85980i | −0.302544 | − | 0.583945i | ||||
\(139\) | 2.45691 | + | 4.25549i | 0.208392 | + | 0.360946i | 0.951208 | − | 0.308550i | \(-0.0998437\pi\) |
−0.742816 | + | 0.669496i | \(0.766510\pi\) | |||||||
\(140\) | −0.0394951 | + | 1.56997i | −0.00333795 | + | 0.132686i | ||||
\(141\) | 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 | ||||
\(147\) | −5.02918 | − | 11.0321i | −0.414800 | − | 0.909913i | ||||
\(148\) | 0.500000 | + | 0.866025i | 0.0410997 | + | 0.0711868i | ||||
\(149\) | −9.02558 | + | 15.6328i | −0.739404 | + | 1.28069i | 0.213360 | + | 0.976974i | \(0.431559\pi\) |
−0.952764 | + | 0.303712i | \(0.901774\pi\) | |||||||
\(150\) | −8.04163 | − | 0.366739i | −0.656596 | − | 0.0299441i | ||||
\(151\) | −0.823832 | − | 1.42692i | −0.0670425 | − | 0.116121i | 0.830556 | − | 0.556936i | \(-0.188023\pi\) |
−0.897598 | + | 0.440815i | \(0.854690\pi\) | |||||||
\(152\) | −2.69076 | − | 4.66053i | −0.218249 | − | 0.378019i | ||||
\(153\) | −8.72665 | − | 0.797618i | −0.705508 | − | 0.0644836i | ||||
\(154\) | −1.33988 | − | 0.819187i | −0.107971 | − | 0.0660120i | ||||
\(155\) | 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 | \(-0.584844\pi\) | ||||
−0.263400 | + | 0.964687i | \(0.584844\pi\) | |||||||
\(158\) | 9.24844 | 0.735766 | ||||||||
\(159\) | −6.41741 | − | 12.3863i | −0.508934 | − | 0.982301i | ||||
\(160\) | 0.296790 | − | 0.514055i | 0.0234633 | − | 0.0406396i | ||||
\(161\) | −0.296790 | + | 11.7977i | −0.0233903 | + | 0.929785i | ||||
\(162\) | 5.83842 | − | 6.84929i | 0.458710 | − | 0.538131i | ||||
\(163\) | −2.99115 | − | 5.18082i | −0.234285 | − | 0.405793i | 0.724780 | − | 0.688980i | \(-0.241941\pi\) |
−0.959065 | + | 0.283188i | \(0.908608\pi\) | |||||||
\(164\) | −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 | \(-0.0734584\pi\) |
−0.684833 | + | 0.728700i | \(0.740125\pi\) | |||||||
\(168\) | −0.323832 | + | 4.57112i | −0.0249842 | + | 0.352670i | ||||
\(169\) | 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 | \(-0.929270\pi\) | ||||
−0.975414 | + | 0.220381i | \(0.929270\pi\) | |||||||
\(174\) | −4.93560 | − | 9.52628i | −0.374167 | − | 0.722185i | ||||
\(175\) | 10.4911 | + | 6.41415i | 0.793056 | + | 0.484864i | ||||
\(176\) | 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 | −0.435392 | − | 0.900241i | \(-0.643390\pi\) |
0.997328 | − | 0.0730602i | \(-0.0232765\pi\) | |||||||
\(180\) | 1.77335 | + | 0.162084i | 0.132177 | + | 0.0120810i | ||||
\(181\) | −0.0861875 | −0.00640627 | −0.00320313 | − | 0.999995i | \(-0.501020\pi\) | ||||
−0.00320313 | + | 0.999995i | \(0.501020\pi\) | |||||||
\(182\) | 5.67617 | + | 3.47033i | 0.420746 | + | 0.257238i | ||||
\(183\) | −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 | ||||||||
\(189\) | −12.8581 | + | 4.86518i | −0.935287 | + | 0.353890i | ||||
\(190\) | 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 | ||||
\(196\) | 3.80039 | − | 5.87852i | 0.271456 | − | 0.419895i | ||||
\(197\) | 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 | \(-0.769518\pi\) |
0.948250 | + | 0.317523i | \(0.102851\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | −0.412155 | + | 16.3835i | −0.0289276 | + | 1.14990i | ||||
\(204\) | −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 | ||||
\(210\) | −2.25370 | − | 1.52313i | −0.155520 | − | 0.105106i | ||||
\(211\) | 9.66225 | + | 16.7355i | 0.665177 | + | 1.15212i | 0.979237 | + | 0.202717i | \(0.0649772\pi\) |
−0.314060 | + | 0.949403i | \(0.601689\pi\) | |||||||
\(212\) | 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 | ||||
\(217\) | −18.2814 | + | 9.95036i | −1.24102 | + | 0.675474i | ||||
\(218\) | 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 | −0.0351275 | − | 0.999383i | \(-0.511184\pi\) |
0.883055 | − | 0.469270i | \(-0.155483\pi\) | |||||||
\(224\) | −2.32383 | + | 1.26483i | −0.155268 | + | 0.0845103i | ||||
\(225\) | 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 | \(-0.217771\pi\) |
−0.934819 | + | 0.355126i | \(0.884438\pi\) | |||||||
\(228\) | 9.31138 | + | 0.424646i | 0.616661 | + | 0.0281229i | ||||
\(229\) | 4.64766 | − | 8.04999i | 0.307126 | − | 0.531958i | −0.670606 | − | 0.741814i | \(-0.733966\pi\) |
0.977732 | + | 0.209855i | \(0.0672993\pi\) | |||||||
\(230\) | 1.32383 | + | 2.29294i | 0.0872909 | + | 0.151192i | ||||
\(231\) | 2.44592 | − | 1.19019i | 0.160929 | − | 0.0783090i | ||||
\(232\) | 3.09718 | − | 5.36447i | 0.203340 | − | 0.352195i | ||||
\(233\) | 0.0971780 | + | 0.168317i | 0.00636634 | + | 0.0110268i | 0.869191 | − | 0.494476i | \(-0.164640\pi\) |
−0.862825 | + | 0.505503i | \(0.831307\pi\) | |||||||
\(234\) | 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 | ||||
\(238\) | −0.194356 | + | 7.72582i | −0.0125982 | + | 0.500791i | ||||
\(239\) | −6.82743 | − | 11.8255i | −0.441630 | − | 0.764925i | 0.556181 | − | 0.831061i | \(-0.312266\pi\) |
−0.997811 | + | 0.0661361i | \(0.978933\pi\) | |||||||
\(240\) | 0.472958 | + | 0.912864i | 0.0305293 | + | 0.0589251i | ||||
\(241\) | 6.50000 | + | 11.2583i | 0.418702 | + | 0.725213i | 0.995809 | − | 0.0914555i | \(-0.0291519\pi\) |
−0.577107 | + | 0.816668i | \(0.695819\pi\) | |||||||
\(242\) | −5.32383 | + | 9.22115i | −0.342229 | + | 0.592758i | ||||
\(243\) | 4.54309 | + | 14.9118i | 0.291440 | + | 0.956589i | ||||
\(244\) | −6.64766 | −0.425573 | ||||||||
\(245\) | 1.89397 | + | 3.69829i | 0.121001 | + | 0.236275i | ||||
\(246\) | 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 | \(-0.711570\pi\) | ||||
−0.616796 | + | 0.787123i | \(0.711570\pi\) | |||||||
\(252\) | −6.36693 | − | 4.73944i | −0.401079 | − | 0.298556i | ||||
\(253\) | −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 | \(-0.916965\pi\) |
0.706443 | + | 0.707770i | \(0.250299\pi\) | |||||||
\(258\) | −8.89397 | − | 17.1664i | −0.553714 | − | 1.06873i | ||||
\(259\) | 2.25729 | + | 1.38008i | 0.140261 | + | 0.0857540i | ||||
\(260\) | 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 | 0.999508 | + | 0.0313704i | \(0.00998713\pi\) |
−0.472586 | + | 0.881284i | \(0.656680\pi\) | |||||||
\(264\) | −1.02704 | − | 0.0468383i | −0.0632101 | − | 0.00288270i | ||||
\(265\) | 2.39037 | + | 4.14024i | 0.146839 | + | 0.254333i | ||||
\(266\) | −12.1477 | − | 7.42692i | −0.744821 | − | 0.455374i | ||||
\(267\) | −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 | \(-0.932088\pi\) |
0.672033 | + | 0.740522i | \(0.265421\pi\) | |||||||
\(270\) | −1.89183 | + | 2.43599i | −0.115133 | + | 0.148250i | ||||
\(271\) | 5.10457 | + | 8.84137i | 0.310081 | + | 0.537075i | 0.978380 | − | 0.206818i | \(-0.0663106\pi\) |
−0.668299 | + | 0.743893i | \(0.732977\pi\) | |||||||
\(272\) | 1.46050 | − | 2.52967i | 0.0885561 | − | 0.153384i | ||||
\(273\) | −10.3617 | + | 5.04204i | −0.627117 | + | 0.305158i | ||||
\(274\) | 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 | −0.995352 | − | 0.0963074i | \(-0.969297\pi\) |
0.414271 | − | 0.910154i | \(-0.364037\pi\) | |||||||
\(278\) | −2.45691 | − | 4.25549i | −0.147355 | − | 0.255227i | ||||
\(279\) | 9.89104 | + | 21.4281i | 0.592161 | + | 1.28287i | ||||
\(280\) | 0.0394951 | − | 1.56997i | 0.00236029 | − | 0.0938235i | ||||
\(281\) | −6.40136 | + | 11.0875i | −0.381873 | + | 0.661424i | −0.991330 | − | 0.131396i | \(-0.958054\pi\) |
0.609457 | + | 0.792819i | \(0.291388\pi\) | |||||||
\(282\) | −11.3530 | + | 17.7446i | −0.676062 | + | 1.05667i | ||||
\(283\) | −16.3523 | −0.972046 | −0.486023 | − | 0.873946i | \(-0.661553\pi\) | ||||
−0.486023 | + | 0.873946i | \(0.661553\pi\) | |||||||
\(284\) | −14.4107 | −0.855117 | ||||||||
\(285\) | −2.98181 | + | 4.66053i | −0.176627 | + | 0.276066i | ||||
\(286\) | −0.746304 | + | 1.29264i | −0.0441299 | + | 0.0764352i | ||||
\(287\) | −0.617023 | − | 0.377240i | −0.0364217 | − | 0.0222678i | ||||
\(288\) | 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 | −0.991744 | − | 0.128235i | \(-0.959069\pi\) |
0.384817 | − | 0.922993i | \(-0.374264\pi\) | |||||||
\(294\) | 5.02918 | + | 11.0321i | 0.293308 | + | 0.643405i | ||||
\(295\) | −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 | ||||
\(301\) | −0.742705 | + | 29.5232i | −0.0428088 | + | 1.70169i | ||||
\(302\) | 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 | \(-0.724026\pi\) | ||||
−0.647118 | + | 0.762390i | \(0.724026\pi\) | |||||||
\(308\) | 1.33988 | + | 0.819187i | 0.0763469 | + | 0.0466775i | ||||
\(309\) | 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 | \(-0.559133\pi\) | ||||
−0.184704 | + | 0.982794i | \(0.559133\pi\) | |||||||
\(312\) | 4.35087 | + | 0.198422i | 0.246320 | + | 0.0112334i | ||||
\(313\) | 0.266149 | 0.0150436 | 0.00752181 | − | 0.999972i | \(-0.497606\pi\) | ||||
0.00752181 | + | 0.999972i | \(0.497606\pi\) | |||||||
\(314\) | 6.60078 | 0.372503 | ||||||||
\(315\) | 4.32597 | − | 1.86633i | 0.243741 | − | 0.105156i | ||||
\(316\) | −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 | ||||
\(322\) | 0.296790 | − | 11.7977i | 0.0165394 | − | 0.657458i | ||||
\(323\) | 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 | ||||
\(329\) | 28.2630 | − | 15.3832i | 1.55819 | − | 0.848105i | ||||
\(330\) | 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 | ||||
\(336\) | 0.323832 | − | 4.57112i | 0.0176665 | − | 0.249375i | ||||
\(337\) | −9.36693 | − | 16.2240i | −0.510249 | − | 0.883777i | −0.999929 | − | 0.0118752i | \(-0.996220\pi\) |
0.489681 | − | 0.871902i | \(-0.337113\pi\) | |||||||
\(338\) | −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 | ||||
\(343\) | 1.39610 | − | 18.4676i | 0.0753825 | − | 0.997155i | ||||
\(344\) | 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 | \(-0.800982\pi\) |
0.912286 | + | 0.409553i | \(0.134315\pi\) | |||||||
\(350\) | −10.4911 | − | 6.41415i | −0.560775 | − | 0.342851i | ||||
\(351\) | 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 | \(-0.224888\pi\) |
−0.942524 | + | 0.334138i | \(0.891555\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | −11.0905 | − | 7.49533i | −0.586969 | − | 0.396695i | ||||
\(358\) | −7.51819 | + | 13.0219i | −0.397349 | + | 0.688228i | ||||
\(359\) | −6.32237 | − | 10.9507i | −0.333682 | − | 0.577954i | 0.649549 | − | 0.760320i | \(-0.274958\pi\) |
−0.983231 | + | 0.182366i | \(0.941624\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | −5.67617 | − | 3.47033i | −0.297512 | − | 0.181895i | ||||
\(365\) | 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 | \(-0.221299\pi\) |
−0.938697 | + | 0.344744i | \(0.887966\pi\) | |||||||
\(368\) | −2.23025 | + | 3.86291i | −0.116260 | + | 0.201368i | ||||
\(369\) | −0.472958 | + | 0.669906i | −0.0246212 | + | 0.0348739i | ||||
\(370\) | 0.593579 | 0.0308587 | ||||||||
\(371\) | 0.535897 | − | 21.3024i | 0.0278224 | − | 1.10596i | ||||
\(372\) | −7.34348 | + | 11.4778i | −0.380742 | + | 0.595094i | ||||
\(373\) | −4.71420 | + | 8.16524i | −0.244092 | + | 0.422780i | −0.961876 | − | 0.273486i | \(-0.911823\pi\) |
0.717784 | + | 0.696266i | \(0.245157\pi\) | |||||||
\(374\) | −1.73385 | −0.0896553 | ||||||||
\(375\) | −5.34562 | + | 8.35512i | −0.276047 | + | 0.431457i | ||||
\(376\) | −12.1623 | −0.627220 | ||||||||
\(377\) | 15.5763 | 0.802218 | ||||||||
\(378\) | 12.8581 | − | 4.86518i | 0.661348 | − | 0.250238i | ||||
\(379\) | −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 | −0.375033 | − | 0.927011i | \(-0.622369\pi\) |
0.990332 | − | 0.138717i | \(-0.0442979\pi\) | |||||||
\(384\) | −0.933463 | + | 1.45899i | −0.0476356 | + | 0.0744537i | ||||
\(385\) | −0.818771 | + | 0.445647i | −0.0417284 | + | 0.0227123i | ||||
\(386\) | −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 | 0.995235 | − | 0.0975035i | \(-0.0310857\pi\) |
−0.582058 | + | 0.813147i | \(0.697752\pi\) | |||||||
\(390\) | −1.39329 | + | 2.17770i | −0.0705522 | + | 0.110272i | ||||
\(391\) | 6.51459 | + | 11.2836i | 0.329457 | + | 0.570636i | ||||
\(392\) | −3.80039 | + | 5.87852i | −0.191949 | + | 0.296910i | ||||
\(393\) | −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 | \(-0.265476\pi\) |
−0.977363 | + | 0.211569i | \(0.932143\pi\) | |||||||
\(398\) | −2.80924 | + | 4.86575i | −0.140815 | + | 0.243898i | ||||
\(399\) | 22.1752 | − | 10.7905i | 1.11015 | − | 0.540203i | ||||
\(400\) | 2.32383 | + | 4.02499i | 0.116192 | + | 0.201250i | ||||
\(401\) | 16.6804 | − | 28.8914i | 0.832981 | − | 1.44277i | −0.0626819 | − | 0.998034i | \(-0.519965\pi\) |
0.895663 | − | 0.444733i | \(-0.146701\pi\) | |||||||
\(402\) | 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 | ||||
\(406\) | 0.412155 | − | 16.3835i | 0.0204549 | − | 0.813102i | ||||
\(407\) | −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 | \(-0.545649\pi\) | ||||
−0.142920 | + | 0.989734i | \(0.545649\pi\) | |||||||
\(410\) | −0.162253 | −0.00801309 | ||||||||
\(411\) | −4.36333 | − | 0.198990i | −0.215227 | − | 0.00981544i | ||||
\(412\) | −3.19076 | + | 5.52655i | −0.157197 | + | 0.272274i | ||||
\(413\) | 20.0957 | − | 10.9379i | 0.988846 | − | 0.538217i | ||||
\(414\) | −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 | 0.945831 | + | 0.324659i | \(0.105249\pi\) |
−0.191753 | + | 0.981443i | \(0.561417\pi\) | |||||||
\(420\) | 2.25370 | + | 1.52313i | 0.109969 | + | 0.0743211i | ||||
\(421\) | −1.86693 | + | 3.23361i | −0.0909884 | + | 0.157597i | −0.907927 | − | 0.419128i | \(-0.862336\pi\) |
0.816939 | + | 0.576724i | \(0.195669\pi\) | |||||||
\(422\) | −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 | ||||
\(427\) | −15.4481 | + | 8.40819i | −0.747584 | + | 0.406901i | ||||
\(428\) | 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 | 0.296192 | + | 0.955128i | \(0.404283\pi\) |
−0.975261 | + | 0.221055i | \(0.929050\pi\) | |||||||
\(432\) | −5.14766 | − | 0.708209i | −0.247667 | − | 0.0340737i | ||||
\(433\) | 12.5438 | 0.602815 | 0.301407 | − | 0.953495i | \(-0.402544\pi\) | ||||
0.301407 | + | 0.953495i | \(0.402544\pi\) | |||||||
\(434\) | 18.2814 | − | 9.95036i | 0.877536 | − | 0.477632i | ||||
\(435\) | −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 | \(-0.286554\pi\) | ||||
0.621426 | + | 0.783473i | \(0.286554\pi\) | |||||||
\(440\) | 0.352336 | 0.0167970 | ||||||||
\(441\) | −20.7903 | − | 2.96055i | −0.990013 | − | 0.140978i | ||||
\(442\) | 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 | ||||
\(448\) | 2.32383 | − | 1.26483i | 0.109791 | − | 0.0597578i | ||||
\(449\) | 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 | ||||
\(455\) | 3.46857 | − | 1.88790i | 0.162609 | − | 0.0885062i | ||||
\(456\) | −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 | \(-0.892795\pi\) |
0.758100 | + | 0.652138i | \(0.226128\pi\) | |||||||
\(462\) | −2.44592 | + | 1.19019i | −0.113794 | + | 0.0553728i | ||||
\(463\) | −14.3676 | − | 24.8854i | −0.667719 | − | 1.15652i | −0.978540 | − | 0.206055i | \(-0.933937\pi\) |
0.310821 | − | 0.950468i | \(-0.399396\pi\) | |||||||
\(464\) | −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 | 0.933880 | + | 0.357586i | \(0.116400\pi\) |
−0.157261 | + | 0.987557i | \(0.550267\pi\) | |||||||
\(468\) | −4.35087 | + | 6.16266i | −0.201119 | + | 0.284869i | ||||
\(469\) | −4.44738 | + | 2.42066i | −0.205361 | + | 0.111775i | ||||
\(470\) | 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 | ||||
\(476\) | 0.194356 | − | 7.72582i | 0.00890829 | − | 0.354112i | ||||
\(477\) | −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 | \(-0.169336\pi\) |
−0.870188 | + | 0.492719i | \(0.836003\pi\) | |||||||
\(480\) | −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 | ||||
\(483\) | 16.9356 | + | 11.4457i | 0.770596 | + | 0.520797i | ||||
\(484\) | 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 | 0.298075 | + | 0.954543i | \(0.403656\pi\) |
−0.975695 | + | 0.219131i | \(0.929678\pi\) | |||||||
\(488\) | 6.64766 | 0.300926 | ||||||||
\(489\) | −10.3509 | − | 0.472052i | −0.468083 | − | 0.0213469i | ||||
\(490\) | −1.89397 | − | 3.69829i | −0.0855607 | − | 0.167072i | ||||
\(491\) | −0.255158 | − | 0.441947i | −0.0115151 | − | 0.0199448i | 0.860210 | − | 0.509939i | \(-0.170332\pi\) |
−0.871726 | + | 0.489994i | \(0.836999\pi\) | |||||||
\(492\) | −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 | ||||||||
\(497\) | −33.4880 | + | 18.2271i | −1.50214 | + | 0.817599i | ||||
\(498\) | 6.13667 | + | 11.8445i | 0.274991 | + | 0.530764i | ||||
\(499\) | 9.50953 | − | 16.4710i | 0.425705 | − | 0.737343i | −0.570781 | − | 0.821102i | \(-0.693359\pi\) |
0.996486 | + | 0.0837597i | \(0.0266928\pi\) | |||||||
\(500\) | −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 | \(-0.818787\pi\) | ||||
−0.842280 | + | 0.539040i | \(0.818787\pi\) | |||||||
\(504\) | 6.36693 | + | 4.73944i | 0.283605 | + | 0.211111i | ||||
\(505\) | −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 | \(-0.753370\pi\) |
0.963131 | + | 0.269031i | \(0.0867035\pi\) | |||||||
\(510\) | −3.00000 | − | 0.136815i | −0.132842 | − | 0.00605828i | ||||
\(511\) | 0.526563 | − | 20.9314i | 0.0232938 | − | 0.925949i | ||||
\(512\) | −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 | ||||
\(518\) | −2.25729 | − | 1.38008i | −0.0991798 | − | 0.0606372i | ||||
\(519\) | −23.9518 | + | 37.4364i | −1.05137 | + | 1.64327i | ||||
\(520\) | −1.49261 | −0.0654552 | ||||||||
\(521\) | −13.7360 | + | 23.7914i | −0.601785 | + | 1.04232i | 0.390766 | + | 0.920490i | \(0.372210\pi\) |
−0.992551 | + | 0.121831i | \(0.961123\pi\) | |||||||
\(522\) | −18.5059 | − | 1.69145i | −0.809983 | − | 0.0740326i | ||||
\(523\) | 11.0919 | + | 19.2118i | 0.485016 | + | 0.840072i | 0.999852 | − | 0.0172166i | \(-0.00548048\pi\) |
−0.514836 | + | 0.857289i | \(0.672147\pi\) | |||||||
\(524\) | 0.593579 | − | 1.02811i | 0.0259306 | − | 0.0449132i | ||||
\(525\) | 19.1513 | − | 9.31909i | 0.835830 | − | 0.406718i | ||||
\(526\) | −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 | ||||
\(532\) | 12.1477 | + | 7.42692i | 0.526668 | + | 0.321998i | ||||
\(533\) | −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 | ||||
\(539\) | 4.14980 | + | 0.208922i | 0.178745 | + | 0.00899893i | ||||
\(540\) | 1.89183 | − | 2.43599i | 0.0814115 | − | 0.104828i | ||||
\(541\) | 14.9246 | + | 25.8502i | 0.641659 | + | 1.11139i | 0.985062 | + | 0.172198i | \(0.0550869\pi\) |
−0.343403 | + | 0.939188i | \(0.611580\pi\) | |||||||
\(542\) | −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 | ||||
\(546\) | 10.3617 | − | 5.04204i | 0.443439 | − | 0.215779i | ||||
\(547\) | 8.84348 | − | 15.3174i | 0.378120 | − | 0.654923i | −0.612669 | − | 0.790340i | \(-0.709904\pi\) |
0.990789 | + | 0.135417i | \(0.0432373\pi\) | |||||||
\(548\) | −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 | ||||
\(553\) | −21.4918 | + | 11.6977i | −0.913925 | + | 0.497439i | ||||
\(554\) | 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 | −0.347472 | − | 0.937690i | \(-0.612960\pi\) |
0.985800 | − | 0.167926i | \(-0.0537069\pi\) | |||||||
\(558\) | −9.89104 | − | 21.4281i | −0.418721 | − | 0.907124i | ||||
\(559\) | 28.0685 | 1.18717 | ||||||||
\(560\) | −0.0394951 | + | 1.56997i | −0.00166897 | + | 0.0663432i | ||||
\(561\) | 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 | \(-0.472480\pi\) | ||||
0.0863478 | + | 0.996265i | \(0.472480\pi\) | |||||||
\(564\) | 11.3530 | − | 17.7446i | 0.478048 | − | 0.747182i | ||||
\(565\) | 7.31304 | 0.307662 | ||||||||
\(566\) | 16.3523 | 0.687340 | ||||||||
\(567\) | −4.90428 | + | 23.3012i | −0.205961 | + | 0.978560i | ||||
\(568\) | 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 | ||||
\(574\) | 0.617023 | + | 0.377240i | 0.0257540 | + | 0.0157457i | ||||
\(575\) | −20.7309 | −0.864539 | ||||||||
\(576\) | −1.25729 | − | 2.72382i | −0.0523873 | − | 0.113493i | ||||
\(577\) | 23.1388 | − | 40.0776i | 0.963281 | − | 1.66845i | 0.249118 | − | 0.968473i | \(-0.419859\pi\) |
0.714164 | − | 0.699979i | \(-0.246807\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 0.512453 | − | 20.3705i | 0.0212601 | − | 0.845109i | ||||
\(582\) | 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 | \(-0.818461\pi\) |
0.888434 | + | 0.459005i | \(0.151794\pi\) | |||||||
\(588\) | −5.02918 | − | 11.0321i | −0.207400 | − | 0.454956i | ||||
\(589\) | −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 | 0.748555 | + | 0.663072i | \(0.230748\pi\) |
0.199960 | + | 0.979804i | \(0.435919\pi\) | |||||||
\(594\) | 1.16372 | + | 2.85637i | 0.0477478 | + | 0.117198i | ||||
\(595\) | 3.91381 | + | 2.39285i | 0.160451 | + | 0.0980974i | ||||
\(596\) | −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 | \(-0.908021\pi\) |
0.726049 | + | 0.687643i | \(0.241355\pi\) | |||||||
\(602\) | 0.742705 | − | 29.5232i | 0.0302704 | − | 1.20328i | ||||
\(603\) | 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 | \(-0.738741\pi\) |
0.974474 | + | 0.224499i | \(0.0720745\pi\) | |||||||
\(608\) | −2.69076 | − | 4.66053i | −0.109125 | − | 0.189009i | ||||
\(609\) | 23.5187 | + | 15.8948i | 0.953024 | + | 0.644088i | ||||
\(610\) | −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 | −0.506998 | − | 0.861947i | \(-0.669245\pi\) |
0.999967 | + | 0.00809942i | \(0.00257815\pi\) | |||||||
\(614\) | 22.6768 | 0.915163 | ||||||||
\(615\) | 0.151457 | − | 0.236725i | 0.00610733 | − | 0.00954566i | ||||
\(616\) | −1.33988 | − | 0.819187i | −0.0539854 | − | 0.0330060i | ||||
\(617\) | 24.4698 | + | 42.3830i | 0.985119 | + | 1.70628i | 0.641408 | + | 0.767200i | \(0.278350\pi\) |
0.343710 | + | 0.939076i | \(0.388316\pi\) | |||||||
\(618\) | −5.08472 | − | 9.81411i | −0.204538 | − | 0.394781i | ||||
\(619\) | 22.3296 | + | 38.6759i | 0.897501 | + | 1.55452i | 0.830678 | + | 0.556753i | \(0.187953\pi\) |
0.0668227 | + | 0.997765i | \(0.478714\pi\) | |||||||
\(620\) | 2.33482 | − | 4.04403i | 0.0937687 | − | 0.162412i | ||||
\(621\) | 14.2163 | − | 18.3055i | 0.570482 | − | 0.734574i | ||||
\(622\) | 6.51459 | 0.261211 | ||||||||
\(623\) | −28.0708 | − | 17.1621i | −1.12463 | − | 0.687586i | ||||
\(624\) | −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 | ||||||||
\(630\) | −4.32597 | + | 1.86633i | −0.172351 | + | 0.0743565i | ||||
\(631\) | 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 | ||||
\(637\) | −17.5799 | − | 0.885061i | −0.696539 | − | 0.0350674i | ||||
\(638\) | 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 | −0.991566 | − | 0.129606i | \(-0.958629\pi\) |
0.383540 | − | 0.923524i | \(-0.374705\pi\) | |||||||
\(642\) | −32.3712 | − | 1.47629i | −1.27759 | − | 0.0582645i | ||||
\(643\) | −13.7345 | − | 23.7889i | −0.541637 | − | 0.938142i | −0.998810 | − | 0.0487649i | \(-0.984471\pi\) |
0.457174 | − | 0.889378i | \(-0.348862\pi\) | |||||||
\(644\) | −0.296790 | + | 11.7977i | −0.0116952 | + | 0.464893i | ||||
\(645\) | −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 | \(-0.917338\pi\) |
0.705613 | + | 0.708598i | \(0.250672\pi\) | |||||||
\(648\) | 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 | ||||
\(651\) | −2.54756 | + | 35.9607i | −0.0998468 | + | 1.40941i | ||||
\(652\) | −2.99115 | − | 5.18082i | −0.117142 | − | 0.202896i | ||||
\(653\) | 8.57081 | − | 14.8451i | 0.335402 | − | 0.580933i | −0.648160 | − | 0.761504i | \(-0.724461\pi\) |
0.983562 | + | 0.180571i | \(0.0577946\pi\) | |||||||
\(654\) | −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 | ||||
\(658\) | −28.2630 | + | 15.3832i | −1.10181 | + | 0.599701i | ||||
\(659\) | 4.26089 | − | 7.38008i | 0.165981 | − | 0.287487i | −0.771022 | − | 0.636808i | \(-0.780254\pi\) |
0.937003 | + | 0.349321i | \(0.113588\pi\) | |||||||
\(660\) | −0.328893 | + | 0.514055i | −0.0128021 | + | 0.0200096i | ||||
\(661\) | 34.3360 | 1.33551 | 0.667757 | − | 0.744379i | \(-0.267254\pi\) | ||||
0.667757 | + | 0.744379i | \(0.267254\pi\) | |||||||
\(662\) | 25.1623 | 0.977959 | ||||||||
\(663\) | −6.85641 | + | 10.7165i | −0.266281 | + | 0.416193i | ||||
\(664\) | −3.85087 | + | 6.66991i | −0.149443 | + | 0.258843i | ||||
\(665\) | −7.42315 | + | 4.04033i | −0.287857 | + | 0.156677i | ||||
\(666\) | −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 | ||||
\(672\) | −0.323832 | + | 4.57112i | −0.0124921 | + | 0.176335i | ||||
\(673\) | −7.70155 | + | 13.3395i | −0.296873 | + | 0.514199i | −0.975419 | − | 0.220359i | \(-0.929277\pi\) |
0.678546 | + | 0.734558i | \(0.262610\pi\) | |||||||
\(674\) | 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 | \(-0.545304\pi\) | ||||
−0.141847 | + | 0.989889i | \(0.545304\pi\) | |||||||
\(678\) | 21.3171 | + | 0.972168i | 0.818679 | + | 0.0373359i | ||||
\(679\) | 0.780738 | − | 31.0350i | 0.0299620 | − | 1.19102i | ||||
\(680\) | −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 | −0.759487 | − | 0.650523i | \(-0.774550\pi\) |
0.943113 | + | 0.332474i | \(0.107883\pi\) | |||||||
\(684\) | 9.31138 | − | 13.1888i | 0.356029 | − | 0.504286i | ||||
\(685\) | 1.49688 | 0.0571929 | ||||||||
\(686\) | −1.39610 | + | 18.4676i | −0.0533035 | + | 0.705095i | ||||
\(687\) | −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 | \(-0.586707\pi\) | ||||
−0.269042 | + | 0.963128i | \(0.586707\pi\) | |||||||
\(692\) | −25.6591 | −0.975414 | ||||||||
\(693\) | 0.546692 | − | 4.67956i | 0.0207671 | − | 0.177762i | ||||
\(694\) | −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 | ||||
\(700\) | 10.4911 | + | 6.41415i | 0.396528 | + | 0.242432i | ||||
\(701\) | 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 | ||||
\(707\) | 3.66304 | + | 2.23954i | 0.137763 | + | 0.0842264i | ||||
\(708\) | 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 | ||||
\(714\) | 11.0905 | + | 7.49533i | 0.415050 | + | 0.280506i | ||||
\(715\) | 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 | \(-0.153368\pi\) |
−0.844386 | + | 0.535735i | \(0.820035\pi\) | |||||||
\(720\) | 1.77335 | + | 0.162084i | 0.0660887 | + | 0.00604052i | ||||
\(721\) | −0.424608 | + | 16.8786i | −0.0158132 | + | 0.628590i | ||||
\(722\) | 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 | \(-0.831149\pi\) |
0.869436 | + | 0.494045i | \(0.164482\pi\) | |||||||
\(728\) | 5.67617 | + | 3.47033i | 0.210373 | + | 0.128619i | ||||
\(729\) | 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 | \(-0.916694\pi\) |
0.707045 | + | 0.707168i | \(0.250028\pi\) | |||||||
\(734\) | 3.27188 | + | 5.66707i | 0.120767 | + | 0.209175i | ||||
\(735\) | 7.16372 | + | 0.688942i | 0.264238 | + | 0.0254120i | ||||
\(736\) | 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 | −0.507504 | − | 0.861649i | \(-0.669432\pi\) |
0.999962 | + | 0.00868705i | \(0.00276521\pi\) | |||||||
\(740\) | −0.593579 | −0.0218204 | ||||||||
\(741\) | −10.7824 | − | 20.8113i | −0.396101 | − | 0.764521i | ||||
\(742\) | −0.535897 | + | 21.3024i | −0.0196734 | + | 0.782034i | ||||
\(743\) | −5.04669 | − | 8.74113i | −0.185145 | − | 0.320681i | 0.758480 | − | 0.651696i | \(-0.225942\pi\) |
−0.943625 | + | 0.331015i | \(0.892609\pi\) | |||||||
\(744\) | 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 | ||||||||
\(749\) | 42.2316 | + | 25.8198i | 1.54311 | + | 0.943437i | ||||
\(750\) | 5.34562 | − | 8.35512i | 0.195194 | − | 0.305086i | ||||
\(751\) | −5.75729 | + | 9.97193i | −0.210087 | + | 0.363881i | −0.951741 | − | 0.306901i | \(-0.900708\pi\) |
0.741655 | + | 0.670782i | \(0.234041\pi\) | |||||||
\(752\) | 12.1623 | 0.443512 | ||||||||
\(753\) | −18.2434 | + | 28.5141i | −0.664826 | + | 1.03911i | ||||
\(754\) | −15.5763 | −0.567254 | ||||||||
\(755\) | 0.978019 | 0.0355938 | ||||||||
\(756\) | −12.8581 | + | 4.86518i | −0.467644 | + | 0.176945i | ||||
\(757\) | −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 | \(-0.823514\pi\) |
0.881035 | + | 0.473050i | \(0.156847\pi\) | |||||||
\(762\) | −11.5139 | + | 17.9961i | −0.417105 | + | 0.651929i | ||||
\(763\) | −0.190757 | + | 7.58277i | −0.00690588 | + | 0.274515i | ||||
\(764\) | 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 | 0.862171 | + | 0.506618i | \(0.169104\pi\) |
0.00765823 | + | 0.999971i | \(0.497562\pi\) | |||||||
\(770\) | 0.818771 | − | 0.445647i | 0.0295064 | − | 0.0160600i | ||||
\(771\) | 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 | \(-0.797740\pi\) |
0.916410 | + | 0.400240i | \(0.131073\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | 4.12062 | − | 2.00511i | 0.147826 | − | 0.0719330i | ||||
\(778\) | −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 | ||||
\(784\) | 3.80039 | − | 5.87852i | 0.135728 | − | 0.209947i | ||||
\(785\) | 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 | \(-0.465338\pi\) | ||||
0.108679 | + | 0.994077i | \(0.465338\pi\) | |||||||
\(788\) | 11.0584 | 0.393938 | ||||||||
\(789\) | 29.5708 | + | 1.34858i | 1.05275 | + | 0.0480107i | ||||
\(790\) | −2.74484 | + | 4.75420i | −0.0976571 | + | 0.169147i | ||||
\(791\) | −27.8104 | − | 17.0029i | −0.988824 | − | 0.604554i | ||||
\(792\) | −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 | \(-0.237477\pi\) |
−0.954999 | + | 0.296609i | \(0.904144\pi\) | |||||||
\(798\) | −22.1752 | + | 10.7905i | −0.784993 | + | 0.381981i | ||||
\(799\) | 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 | ||||
\(805\) | −5.97656 | − | 3.65399i | −0.210646 | − | 0.128786i | ||||
\(806\) | −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 | −0.911280 | − | 0.411788i | \(-0.864904\pi\) |
0.812259 | + | 0.583297i | \(0.198238\pi\) | |||||||
\(810\) | 1.78813 | + | 5.03407i | 0.0628285 | + | 0.176879i | ||||
\(811\) | −45.6414 | −1.60269 | −0.801344 | − | 0.598204i | \(-0.795881\pi\) | ||||
−0.801344 | + | 0.598204i | \(0.795881\pi\) | |||||||
\(812\) | −0.412155 | + | 16.3835i | −0.0144638 | + | 0.574950i | ||||
\(813\) | 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 | ||||||||
\(819\) | −2.31596 | + | 19.8241i | −0.0809262 | + | 0.692710i | ||||
\(820\) | 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 | ||||
\(826\) | −20.0957 | + | 10.9379i | −0.699219 | + | 0.380577i | ||||
\(827\) | 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 | \(-0.983744\pi\) |
0.543556 | + | 0.839373i | \(0.317078\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | −9.32023 | − | 18.1993i | −0.322927 | − | 0.630570i | ||||
\(834\) | −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 | \(-0.707095\pi\) |
0.991945 | + | 0.126669i | \(0.0404286\pi\) | |||||||
\(840\) | −2.25370 | − | 1.52313i | −0.0777599 | − | 0.0525529i | ||||
\(841\) | −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 | ||||
\(847\) | 0.708466 | − | 28.1622i | 0.0243432 | − | 0.967663i | ||||
\(848\) | 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 | \(-0.778983\pi\) |
0.938391 | + | 0.345576i | \(0.112317\pi\) | |||||||
\(854\) | 15.4481 | − | 8.40819i | 0.528621 | − | 0.287722i | ||||
\(855\) | 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 | \(-0.209174\pi\) |
−0.924887 | + | 0.380241i | \(0.875841\pi\) | |||||||
\(858\) | 1.18929 | + | 2.29548i | 0.0406019 | + | 0.0783663i | ||||
\(859\) | −8.17111 | + | 14.1528i | −0.278795 | + | 0.482886i | −0.971085 | − | 0.238732i | \(-0.923268\pi\) |
0.692291 | + | 0.721619i | \(0.256602\pi\) | |||||||
\(860\) | −3.31284 | − | 5.73801i | −0.112967 | − | 0.195664i | ||||
\(861\) | −1.12636 | + | 0.548090i | −0.0383861 | + | 0.0186789i | ||||
\(862\) | 14.0979 | − | 24.4182i | 0.480175 | − | 0.831687i | ||||
\(863\) | 0.730252 | + | 1.26483i | 0.0248581 | + | 0.0430555i | 0.878187 | − | 0.478318i | \(-0.158753\pi\) |
−0.853329 | + | 0.521373i | \(0.825420\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | −18.2814 | + | 9.95036i | −0.620512 | + | 0.337737i | ||||
\(869\) | −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 | ||||||||
\(875\) | −13.3078 | + | 7.24327i | −0.449885 | + | 0.244867i | ||||
\(876\) | −6.30564 | − | 12.1706i | −0.213048 | − | 0.411207i | ||||
\(877\) | 1.20467 | − | 2.08655i | 0.0406789 | − | 0.0704579i | −0.844969 | − | 0.534815i | \(-0.820381\pi\) |
0.885648 | + | 0.464357i | \(0.153715\pi\) | |||||||
\(878\) | −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 | \(-0.603482\pi\) | ||||
−0.319401 | + | 0.947620i | \(0.603482\pi\) | |||||||
\(882\) | 20.7903 | + | 2.96055i | 0.700045 | + | 0.0996868i | ||||
\(883\) | 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 | \(-0.698654\pi\) |
0.994955 | + | 0.100322i | \(0.0319873\pi\) | |||||||
\(888\) | −1.73025 | − | 0.0789082i | −0.0580635 | − | 0.00264799i | ||||
\(889\) | 28.6636 | − | 15.6013i | 0.961346 | − | 0.523249i | ||||
\(890\) | −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 | ||||
\(896\) | −2.32383 | + | 1.26483i | −0.0776338 | + | 0.0422551i | ||||
\(897\) | 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 | ||||
\(903\) | 42.3807 | + | 28.6424i | 1.41034 | + | 0.953160i | ||||
\(904\) | 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 | 0.770601 | − | 0.637318i | \(-0.219956\pi\) |
−0.937234 | + | 0.348701i | \(0.886623\pi\) | |||||||
\(908\) | −2.40856 | − | 4.17174i | −0.0799308 | − | 0.138444i | ||||
\(909\) | 2.80778 | − | 3.97699i | 0.0931282 | − | 0.131908i | ||||
\(910\) | −3.46857 | + | 1.88790i | −0.114982 | + | 0.0625833i | ||||
\(911\) | 11.4459 | − | 19.8249i | 0.379220 | − | 0.656828i | −0.611729 | − | 0.791067i | \(-0.709526\pi\) |
0.990949 | + | 0.134239i | \(0.0428590\pi\) | |||||||
\(912\) | 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 | ||||
\(917\) | 0.0789903 | − | 3.13993i | 0.00260849 | − | 0.103690i | ||||
\(918\) | 9.30972 | − | 11.9875i | 0.307267 | − | 0.395648i | ||||
\(919\) | 10.8910 | + | 18.8638i | 0.359262 | + | 0.622261i | 0.987838 | − | 0.155488i | \(-0.0496950\pi\) |
−0.628575 | + | 0.777749i | \(0.716362\pi\) | |||||||
\(920\) | 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 | ||||
\(924\) | 2.44592 | − | 1.19019i | 0.0804647 | − | 0.0391545i | ||||
\(925\) | −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 | \(-0.681079\pi\) | ||||
−0.538686 | + | 0.842507i | \(0.681079\pi\) | |||||||
\(930\) | 3.72072 | + | 7.18143i | 0.122007 | + | 0.235488i | ||||
\(931\) | 37.6230 | + | 1.89413i | 1.23304 | + | 0.0620778i | ||||
\(932\) | 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 | \(-0.545812\pi\) | ||||
−0.143427 | + | 0.989661i | \(0.545812\pi\) | |||||||
\(938\) | 4.44738 | − | 2.42066i | 0.145212 | − | 0.0790372i | ||||
\(939\) | 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 | \(-0.477848\pi\) | ||||
0.0695362 | + | 0.997579i | \(0.477848\pi\) | |||||||
\(942\) | 6.16158 | − | 9.63046i | 0.200755 | − | 0.313777i | ||||
\(943\) | 1.21926 | 0.0397046 | ||||||||
\(944\) | 8.64766 | 0.281457 | ||||||||
\(945\) | 1.31517 | − | 8.05369i | 0.0427825 | − | 0.261987i | ||||
\(946\) | 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 | ||||
\(952\) | −0.194356 | + | 7.72582i | −0.00629911 | + | 0.250395i | ||||
\(953\) | −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 | ||||
\(959\) | −5.69241 | − | 3.48027i | −0.183818 | − | 0.112384i | ||||
\(960\) | 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 | ||||
\(966\) | −16.9356 | − | 11.4457i | −0.544894 | − | 0.368259i | ||||
\(967\) | 26.7719 | + | 46.3703i | 0.860926 | + | 1.49117i | 0.871037 | + | 0.491218i | \(0.163448\pi\) |
−0.0101108 | + | 0.999949i | \(0.503218\pi\) | |||||||
\(968\) | −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 | −0.999884 | − | 0.0152321i | \(-0.995151\pi\) |
0.486751 | − | 0.873541i | \(-0.338182\pi\) | |||||||
\(972\) | 4.54309 | + | 14.9118i | 0.145720 | + | 0.478295i | ||||
\(973\) | 11.0919 | + | 6.78146i | 0.355591 | + | 0.217403i | ||||
\(974\) | 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 | ||||
\(980\) | 1.89397 | + | 3.69829i | 0.0605006 | + | 0.118138i | ||||
\(981\) | 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 | 0.758927 | + | 0.651175i | \(0.225724\pi\) |
0.184471 | + | 0.982838i | \(0.440943\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | 3.93852 | − | 55.5951i | 0.125365 | − | 1.76961i | ||||
\(988\) | 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 | −0.745880 | − | 0.666080i | \(-0.767971\pi\) |
0.949782 | + | 0.312911i | \(0.101304\pi\) | |||||||
\(992\) | 7.86693 | 0.249775 | ||||||||
\(993\) | −23.4880 | + | 36.7114i | −0.745370 | + | 1.16500i | ||||
\(994\) | 33.4880 | − | 18.2271i | 1.06218 | − | 0.578130i | ||||
\(995\) | 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 | \(-0.137488\pi\) |
−0.816620 | + | 0.577176i | \(0.804155\pi\) | |||||||
\(998\) | −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 \(a_p\))