Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.11 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.11 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.01916 | − | 3.13665i | 0.180164 | − | 0.554486i | −0.819668 | − | 0.572839i | \(-0.805842\pi\) |
0.999832 | + | 0.0183525i | \(0.00584210\pi\) | |||||||
\(3\) | −15.1731 | + | 3.57441i | −0.973356 | + | 0.229298i | ||||
\(4\) | 17.0887 | + | 12.4156i | 0.534021 | + | 0.387989i | ||||
\(5\) | 40.8503 | − | 13.2731i | 0.730753 | − | 0.237436i | 0.0800739 | − | 0.996789i | \(-0.474484\pi\) |
0.650679 | + | 0.759353i | \(0.274484\pi\) | |||||||
\(6\) | −4.25217 | + | 51.2356i | −0.0482206 | + | 0.581024i | ||||
\(7\) | 39.2343 | − | 54.0014i | 0.302636 | − | 0.416543i | −0.630431 | − | 0.776245i | \(-0.717122\pi\) |
0.933067 | + | 0.359702i | \(0.117122\pi\) | |||||||
\(8\) | 141.742 | − | 102.981i | 0.783020 | − | 0.568897i | ||||
\(9\) | 217.447 | − | 108.470i | 0.894845 | − | 0.446378i | ||||
\(10\) | − | 141.660i | − | 0.447970i | ||||||
\(11\) | 397.241 | − | 57.0130i | 0.989857 | − | 0.142067i | ||||
\(12\) | −303.667 | − | 127.302i | −0.608758 | − | 0.255201i | ||||
\(13\) | −146.801 | − | 47.6985i | −0.240919 | − | 0.0782792i | 0.186069 | − | 0.982537i | \(-0.440425\pi\) |
−0.426988 | + | 0.904257i | \(0.640425\pi\) | |||||||
\(14\) | −129.397 | − | 178.100i | −0.176443 | − | 0.242853i | ||||
\(15\) | −572.384 | + | 347.410i | −0.656839 | + | 0.398670i | ||||
\(16\) | 30.3142 | + | 93.2975i | 0.0296037 | + | 0.0911109i | ||||
\(17\) | −19.0002 | − | 58.4765i | −0.0159454 | − | 0.0490749i | 0.942767 | − | 0.333452i | \(-0.108213\pi\) |
−0.958713 | + | 0.284377i | \(0.908213\pi\) | |||||||
\(18\) | −118.618 | − | 792.603i | −0.0862919 | − | 0.576600i | ||||
\(19\) | 1187.03 | + | 1633.81i | 0.754361 | + | 1.03829i | 0.997662 | + | 0.0683377i | \(0.0217695\pi\) |
−0.243302 | + | 0.969951i | \(0.578230\pi\) | |||||||
\(20\) | 862.872 | + | 280.364i | 0.482360 | + | 0.156728i | ||||
\(21\) | −402.284 | + | 959.609i | −0.199060 | + | 0.474839i | ||||
\(22\) | 226.022 | − | 1304.11i | 0.0995621 | − | 0.574457i | ||||
\(23\) | − | 1286.90i | − | 0.507255i | −0.967302 | − | 0.253628i | \(-0.918376\pi\) | ||
0.967302 | − | 0.253628i | \(-0.0816238\pi\) | |||||||
\(24\) | −1782.57 | + | 2069.19i | −0.631710 | + | 0.733285i | ||||
\(25\) | −1035.60 | + | 752.410i | −0.331393 | + | 0.240771i | ||||
\(26\) | −299.227 | + | 411.851i | −0.0868095 | + | 0.119483i | ||||
\(27\) | −2911.64 | + | 2423.07i | −0.768649 | + | 0.639671i | ||||
\(28\) | 1340.92 | − | 435.693i | 0.323228 | − | 0.105023i | ||||
\(29\) | −5642.83 | − | 4099.76i | −1.24595 | − | 0.905239i | −0.247975 | − | 0.968767i | \(-0.579765\pi\) |
−0.997980 | + | 0.0635274i | \(0.979765\pi\) | |||||||
\(30\) | 506.352 | + | 2149.43i | 0.102719 | + | 0.436034i | ||||
\(31\) | −840.834 | + | 2587.82i | −0.157147 | + | 0.483649i | −0.998372 | − | 0.0570363i | \(-0.981835\pi\) |
0.841225 | + | 0.540685i | \(0.181835\pi\) | |||||||
\(32\) | 5930.01 | 1.02372 | ||||||||
\(33\) | −5823.60 | + | 2284.97i | −0.930908 | + | 0.365254i | ||||
\(34\) | −202.785 | −0.0300841 | ||||||||
\(35\) | 885.970 | − | 2726.73i | 0.122250 | − | 0.376247i | ||||
\(36\) | 5062.61 | + | 846.144i | 0.651055 | + | 0.108815i | ||||
\(37\) | −9428.42 | − | 6850.15i | −1.13223 | − | 0.822613i | −0.146212 | − | 0.989253i | \(-0.546708\pi\) |
−0.986018 | + | 0.166640i | \(0.946708\pi\) | |||||||
\(38\) | 6334.47 | − | 2058.19i | 0.711625 | − | 0.231221i | ||||
\(39\) | 2397.92 | + | 199.009i | 0.252449 | + | 0.0209514i | ||||
\(40\) | 4423.32 | − | 6088.17i | 0.437117 | − | 0.601640i | ||||
\(41\) | 10856.1 | − | 7887.45i | 1.00859 | − | 0.732786i | 0.0446794 | − | 0.999001i | \(-0.485773\pi\) |
0.963913 | + | 0.266216i | \(0.0857734\pi\) | |||||||
\(42\) | 2599.96 | + | 2239.82i | 0.227428 | + | 0.195925i | ||||
\(43\) | 3417.72i | 0.281881i | 0.990018 | + | 0.140940i | \(0.0450126\pi\) | ||||
−0.990018 | + | 0.140940i | \(0.954987\pi\) | |||||||
\(44\) | 7496.17 | + | 3957.73i | 0.583725 | + | 0.308187i | ||||
\(45\) | 7443.06 | − | 7317.22i | 0.547924 | − | 0.538660i | ||||
\(46\) | −4036.56 | − | 1311.56i | −0.281266 | − | 0.0913889i | ||||
\(47\) | 5114.80 | + | 7039.92i | 0.337741 | + | 0.464861i | 0.943780 | − | 0.330574i | \(-0.107242\pi\) |
−0.606039 | + | 0.795435i | \(0.707242\pi\) | |||||||
\(48\) | −793.444 | − | 1307.26i | −0.0497065 | − | 0.0818952i | ||||
\(49\) | 3816.83 | + | 11747.0i | 0.227098 | + | 0.698935i | ||||
\(50\) | 1304.60 | + | 4015.15i | 0.0737993 | + | 0.227131i | ||||
\(51\) | 497.311 | + | 819.357i | 0.0267733 | + | 0.0441111i | ||||
\(52\) | −1916.42 | − | 2637.73i | −0.0982841 | − | 0.135277i | ||||
\(53\) | −27613.0 | − | 8972.01i | −1.35028 | − | 0.438733i | −0.457494 | − | 0.889213i | \(-0.651253\pi\) |
−0.892787 | + | 0.450480i | \(0.851253\pi\) | |||||||
\(54\) | 4632.90 | + | 11602.3i | 0.216206 | + | 0.541451i | ||||
\(55\) | 15470.7 | − | 7601.61i | 0.689609 | − | 0.338843i | ||||
\(56\) | − | 11694.7i | − | 0.498330i | ||||||
\(57\) | −23850.9 | − | 20547.1i | −0.972339 | − | 0.837651i | ||||
\(58\) | −18610.4 | + | 13521.3i | −0.726418 | + | 0.527774i | ||||
\(59\) | −24093.0 | + | 33161.1i | −0.901074 | + | 1.24022i | 0.0690507 | + | 0.997613i | \(0.478003\pi\) |
−0.970124 | + | 0.242608i | \(0.921997\pi\) | |||||||
\(60\) | −14094.6 | − | 1169.74i | −0.505445 | − | 0.0419481i | ||||
\(61\) | 16570.6 | − | 5384.11i | 0.570181 | − | 0.185263i | −0.00971591 | − | 0.999953i | \(-0.503093\pi\) |
0.579897 | + | 0.814690i | \(0.303093\pi\) | |||||||
\(62\) | 7260.14 | + | 5274.80i | 0.239864 | + | 0.174272i | ||||
\(63\) | 2673.87 | − | 15998.2i | 0.0848769 | − | 0.507831i | ||||
\(64\) | 5073.57 | − | 15614.8i | 0.154833 | − | 0.476527i | ||||
\(65\) | −6629.97 | −0.194638 | ||||||||
\(66\) | 1231.96 | + | 20595.3i | 0.0348127 | + | 0.581981i | ||||
\(67\) | 36858.5 | 1.00311 | 0.501557 | − | 0.865125i | \(-0.332761\pi\) | ||||
0.501557 | + | 0.865125i | \(0.332761\pi\) | |||||||
\(68\) | 401.336 | − | 1235.19i | 0.0105253 | − | 0.0323937i | ||||
\(69\) | 4599.92 | + | 19526.3i | 0.116313 | + | 0.493740i | ||||
\(70\) | −7649.86 | − | 5557.95i | −0.186599 | − | 0.135572i | ||||
\(71\) | −49329.1 | + | 16028.0i | −1.16133 | + | 0.377340i | −0.825402 | − | 0.564546i | \(-0.809051\pi\) |
−0.335932 | + | 0.941886i | \(0.609051\pi\) | |||||||
\(72\) | 19651.0 | − | 37767.7i | 0.446738 | − | 0.858597i | ||||
\(73\) | −42702.5 | + | 58774.9i | −0.937878 | + | 1.29088i | 0.0188288 | + | 0.999823i | \(0.494006\pi\) |
−0.956706 | + | 0.291055i | \(0.905994\pi\) | |||||||
\(74\) | −31095.6 | + | 22592.3i | −0.660114 | + | 0.479601i | ||||
\(75\) | 13023.9 | − | 15118.1i | 0.267355 | − | 0.310344i | ||||
\(76\) | 42657.5i | 0.847151i | ||||||||
\(77\) | 12506.7 | − | 23688.4i | 0.240390 | − | 0.455312i | ||||
\(78\) | 3068.09 | − | 7318.62i | 0.0570993 | − | 0.136205i | ||||
\(79\) | −9746.11 | − | 3166.70i | −0.175697 | − | 0.0570873i | 0.219848 | − | 0.975534i | \(-0.429444\pi\) |
−0.395544 | + | 0.918447i | \(0.629444\pi\) | |||||||
\(80\) | 2476.69 | + | 3408.87i | 0.0432660 | + | 0.0595505i | ||||
\(81\) | 35517.6 | − | 47172.9i | 0.601494 | − | 0.798877i | ||||
\(82\) | −13676.0 | − | 42090.5i | −0.224608 | − | 0.691272i | ||||
\(83\) | 14452.1 | + | 44479.1i | 0.230270 | + | 0.708697i | 0.997714 | + | 0.0675810i | \(0.0215281\pi\) |
−0.767444 | + | 0.641116i | \(0.778472\pi\) | |||||||
\(84\) | −18788.7 | + | 11403.8i | −0.290534 | + | 0.176341i | ||||
\(85\) | −1552.33 | − | 2136.60i | −0.0233043 | − | 0.0320756i | ||||
\(86\) | 10720.2 | + | 3483.20i | 0.156299 | + | 0.0507847i | ||||
\(87\) | 100274. | + | 42036.4i | 1.42033 | + | 0.595425i | ||||
\(88\) | 50434.4 | − | 48989.6i | 0.694256 | − | 0.674368i | ||||
\(89\) | − | 36845.4i | − | 0.493070i | −0.969134 | − | 0.246535i | \(-0.920708\pi\) | ||
0.969134 | − | 0.246535i | \(-0.0792920\pi\) | |||||||
\(90\) | −15365.9 | − | 30803.7i | −0.199964 | − | 0.400863i | ||||
\(91\) | −8335.42 | + | 6056.04i | −0.105517 | + | 0.0766629i | ||||
\(92\) | 15977.7 | − | 21991.5i | 0.196809 | − | 0.270885i | ||||
\(93\) | 3508.16 | − | 42270.8i | 0.0420602 | − | 0.506796i | ||||
\(94\) | 27294.5 | − | 8868.53i | 0.318608 | − | 0.103522i | ||||
\(95\) | 70176.4 | + | 50986.2i | 0.797778 | + | 0.579620i | ||||
\(96\) | −89976.8 | + | 21196.3i | −0.996443 | + | 0.234737i | ||||
\(97\) | 38798.6 | − | 119410.i | 0.418685 | − | 1.28858i | −0.490228 | − | 0.871594i | \(-0.663087\pi\) |
0.908913 | − | 0.416985i | \(-0.136913\pi\) | |||||||
\(98\) | 40736.1 | 0.428464 | ||||||||
\(99\) | 80194.8 | − | 55486.0i | 0.822353 | − | 0.568978i | ||||
\(100\) | −27038.7 | −0.270387 | ||||||||
\(101\) | −31493.0 | + | 96925.6i | −0.307193 | + | 0.945442i | 0.671657 | + | 0.740862i | \(0.265583\pi\) |
−0.978850 | + | 0.204580i | \(0.934417\pi\) | |||||||
\(102\) | 3076.87 | − | 724.834i | 0.0292826 | − | 0.00689824i | ||||
\(103\) | −142938. | − | 103851.i | −1.32756 | − | 0.964532i | −0.999805 | − | 0.0197704i | \(-0.993706\pi\) |
−0.327759 | − | 0.944761i | \(-0.606294\pi\) | |||||||
\(104\) | −25719.9 | + | 8356.90i | −0.233177 | + | 0.0757638i | ||||
\(105\) | −3696.47 | + | 44539.9i | −0.0327201 | + | 0.394254i | ||||
\(106\) | −56284.1 | + | 77468.4i | −0.486543 | + | 0.669669i | ||||
\(107\) | 78863.7 | − | 57297.9i | 0.665914 | − | 0.483815i | −0.202741 | − | 0.979232i | \(-0.564985\pi\) |
0.868655 | + | 0.495418i | \(0.164985\pi\) | |||||||
\(108\) | −79840.0 | + | 5257.16i | −0.658660 | + | 0.0433703i | ||||
\(109\) | 219803.i | 1.77201i | 0.463673 | + | 0.886006i | \(0.346531\pi\) | ||||
−0.463673 | + | 0.886006i | \(0.653469\pi\) | |||||||
\(110\) | −8076.49 | − | 56273.4i | −0.0636416 | − | 0.443426i | ||||
\(111\) | 167544. | + | 70237.1i | 1.29069 | + | 0.541077i | ||||
\(112\) | 6227.55 | + | 2023.45i | 0.0469107 | + | 0.0152422i | ||||
\(113\) | −84104.7 | − | 115760.i | −0.619618 | − | 0.852831i | 0.377707 | − | 0.925925i | \(-0.376713\pi\) |
−0.997325 | + | 0.0730939i | \(0.976713\pi\) | |||||||
\(114\) | −88756.8 | + | 53871.2i | −0.639646 | + | 0.388235i | ||||
\(115\) | −17081.2 | − | 52570.4i | −0.120441 | − | 0.370678i | ||||
\(116\) | −45527.4 | − | 140119.i | −0.314143 | − | 0.966833i | ||||
\(117\) | −37095.3 | + | 5551.55i | −0.250527 | + | 0.0374930i | ||||
\(118\) | 79460.2 | + | 109368.i | 0.525345 | + | 0.723076i | ||||
\(119\) | −3903.27 | − | 1268.25i | −0.0252675 | − | 0.00820989i | ||||
\(120\) | −45353.9 | + | 108187.i | −0.287516 | + | 0.685841i | ||||
\(121\) | 154550. | − | 45295.8i | 0.959634 | − | 0.281251i | ||||
\(122\) | − | 57463.3i | − | 0.349535i | ||||||
\(123\) | −136529. | + | 158481.i | −0.813694 | + | 0.944530i | ||||
\(124\) | −46498.2 | + | 33782.9i | −0.271570 | + | 0.197307i | ||||
\(125\) | −111214. | + | 153074.i | −0.636629 | + | 0.876244i | ||||
\(126\) | −47455.6 | − | 24691.7i | −0.266294 | − | 0.138556i | ||||
\(127\) | −26429.8 | + | 8587.55i | −0.145407 | + | 0.0472455i | −0.380816 | − | 0.924651i | \(-0.624357\pi\) |
0.235409 | + | 0.971896i | \(0.424357\pi\) | |||||||
\(128\) | 109712. | + | 79710.4i | 0.591873 | + | 0.430021i | ||||
\(129\) | −12216.3 | − | 51857.5i | −0.0646348 | − | 0.274371i | ||||
\(130\) | −6757.00 | + | 20795.9i | −0.0350667 | + | 0.107924i | ||||
\(131\) | −21872.3 | −0.111357 | −0.0556784 | − | 0.998449i | \(-0.517732\pi\) | ||||
−0.0556784 | + | 0.998449i | \(0.517732\pi\) | |||||||
\(132\) | −127887. | − | 33256.7i | −0.638839 | − | 0.166129i | ||||
\(133\) | 134801. | 0.660788 | ||||||||
\(134\) | 37564.6 | − | 115612.i | 0.180725 | − | 0.556213i | ||||
\(135\) | −86779.8 | + | 137630.i | −0.409812 | + | 0.649946i | ||||
\(136\) | −8715.11 | − | 6331.90i | −0.0404041 | − | 0.0293553i | ||||
\(137\) | 150568. | − | 48922.5i | 0.685379 | − | 0.222693i | 0.0544304 | − | 0.998518i | \(-0.482666\pi\) |
0.630949 | + | 0.775824i | \(0.282666\pi\) | |||||||
\(138\) | 65935.3 | + | 5472.13i | 0.294727 | + | 0.0244601i | ||||
\(139\) | 133849. | − | 184228.i | 0.587596 | − | 0.808757i | −0.406906 | − | 0.913470i | \(-0.633392\pi\) |
0.994502 | + | 0.104713i | \(0.0333924\pi\) | |||||||
\(140\) | 48994.2 | − | 35596.4i | 0.211264 | − | 0.153492i | ||||
\(141\) | −102771. | − | 88535.2i | −0.435334 | − | 0.375032i | ||||
\(142\) | 171063.i | 0.711927i | ||||||||
\(143\) | −61034.8 | − | 10578.3i | −0.249596 | − | 0.0432587i | ||||
\(144\) | 16711.7 | + | 16999.1i | 0.0671606 | + | 0.0683156i | ||||
\(145\) | −284928. | − | 92578.7i | −1.12542 | − | 0.365672i | ||||
\(146\) | 140836. | + | 193844.i | 0.546803 | + | 0.752609i | ||||
\(147\) | −99901.7 | − | 164596.i | −0.381311 | − | 0.628239i | ||||
\(148\) | −76070.1 | − | 234120.i | −0.285470 | − | 0.878585i | ||||
\(149\) | −142334. | − | 438058.i | −0.525221 | − | 1.61646i | −0.763878 | − | 0.645361i | \(-0.776707\pi\) |
0.238657 | − | 0.971104i | \(-0.423293\pi\) | |||||||
\(150\) | −34146.6 | − | 56259.1i | −0.123914 | − | 0.204157i | ||||
\(151\) | 175340. | + | 241335.i | 0.625805 | + | 0.861346i | 0.997759 | − | 0.0669045i | \(-0.0213123\pi\) |
−0.371955 | + | 0.928251i | \(0.621312\pi\) | |||||||
\(152\) | 336504. | + | 109337.i | 1.18136 | + | 0.383847i | ||||
\(153\) | −10474.5 | − | 10654.6i | −0.0361746 | − | 0.0367967i | ||||
\(154\) | −61556.0 | − | 63371.4i | −0.209155 | − | 0.215323i | ||||
\(155\) | 116874.i | 0.390740i | ||||||||
\(156\) | 38506.5 | + | 33172.6i | 0.126684 | + | 0.109136i | ||||
\(157\) | −79739.6 | + | 57934.2i | −0.258181 | + | 0.187580i | −0.709345 | − | 0.704861i | \(-0.751009\pi\) |
0.451163 | + | 0.892441i | \(0.351009\pi\) | |||||||
\(158\) | −19865.7 | + | 27342.7i | −0.0633083 | + | 0.0871363i | ||||
\(159\) | 451045. | + | 37433.3i | 1.41490 | + | 0.117426i | ||||
\(160\) | 242243. | − | 78709.5i | 0.748086 | − | 0.243068i | ||||
\(161\) | −69494.6 | − | 50490.8i | −0.211294 | − | 0.153514i | ||||
\(162\) | −111767. | − | 159483.i | −0.334599 | − | 0.477449i | ||||
\(163\) | −6395.96 | + | 19684.7i | −0.0188554 | + | 0.0580311i | −0.960042 | − | 0.279858i | \(-0.909713\pi\) |
0.941186 | + | 0.337889i | \(0.109713\pi\) | |||||||
\(164\) | 283445. | 0.822922 | ||||||||
\(165\) | −207567. | + | 170639.i | −0.593539 | + | 0.487941i | ||||
\(166\) | 154244. | 0.434449 | ||||||||
\(167\) | −25087.5 | + | 77211.4i | −0.0696091 | + | 0.214235i | −0.979810 | − | 0.199933i | \(-0.935927\pi\) |
0.910200 | + | 0.414168i | \(0.135927\pi\) | |||||||
\(168\) | 41801.4 | + | 177444.i | 0.114266 | + | 0.485053i | ||||
\(169\) | −281107. | − | 204236.i | −0.757103 | − | 0.550067i | ||||
\(170\) | −8283.82 | + | 2691.58i | −0.0219841 | + | 0.00714306i | ||||
\(171\) | 435336. | + | 226511.i | 1.13850 | + | 0.592377i | ||||
\(172\) | −42433.2 | + | 58404.3i | −0.109367 | + | 0.150530i | ||||
\(173\) | −59358.4 | + | 43126.4i | −0.150788 | + | 0.109554i | −0.660621 | − | 0.750719i | \(-0.729707\pi\) |
0.509833 | + | 0.860273i | \(0.329707\pi\) | |||||||
\(174\) | 234048. | − | 271681.i | 0.586046 | − | 0.680278i | ||||
\(175\) | 85444.3i | 0.210905i | ||||||||
\(176\) | 17361.2 | + | 35333.3i | 0.0422473 | + | 0.0859810i | ||||
\(177\) | 247034. | − | 589276.i | 0.592685 | − | 1.41379i | ||||
\(178\) | −115571. | − | 37551.3i | −0.273401 | − | 0.0888332i | ||||
\(179\) | −39792.2 | − | 54769.3i | −0.0928252 | − | 0.127763i | 0.760078 | − | 0.649831i | \(-0.225161\pi\) |
−0.852904 | + | 0.522069i | \(0.825161\pi\) | |||||||
\(180\) | 218040. | − | 32631.1i | 0.501597 | − | 0.0750673i | ||||
\(181\) | 93801.1 | + | 288690.i | 0.212819 | + | 0.654991i | 0.999301 | + | 0.0373775i | \(0.0119004\pi\) |
−0.786482 | + | 0.617614i | \(0.788100\pi\) | |||||||
\(182\) | 10500.5 | + | 32317.3i | 0.0234981 | + | 0.0723198i | ||||
\(183\) | −232182. | + | 140924.i | −0.512509 | + | 0.311069i | ||||
\(184\) | −132527. | − | 182408.i | −0.288576 | − | 0.397191i | ||||
\(185\) | −476077. | − | 154687.i | −1.02270 | − | 0.332295i | ||||
\(186\) | −129013. | − | 54084.5i | −0.273434 | − | 0.114628i | ||||
\(187\) | −10881.6 | − | 22146.0i | −0.0227556 | − | 0.0463118i | ||||
\(188\) | 183806.i | 0.379285i | ||||||||
\(189\) | 16613.0 | + | 252300.i | 0.0338294 | + | 0.513763i | ||||
\(190\) | 231447. | − | 168156.i | 0.465122 | − | 0.337931i | ||||
\(191\) | −382164. | + | 526004.i | −0.757995 | + | 1.04329i | 0.239383 | + | 0.970925i | \(0.423055\pi\) |
−0.997378 | + | 0.0723656i | \(0.976945\pi\) | |||||||
\(192\) | −21168.1 | + | 255061.i | −0.0414409 | + | 0.499334i | ||||
\(193\) | −549012. | + | 178385.i | −1.06094 | + | 0.344719i | −0.786951 | − | 0.617015i | \(-0.788342\pi\) |
−0.273984 | + | 0.961734i | \(0.588342\pi\) | |||||||
\(194\) | −335005. | − | 243395.i | −0.639068 | − | 0.464310i | ||||
\(195\) | 100597. | − | 23698.2i | 0.189452 | − | 0.0446302i | ||||
\(196\) | −80622.0 | + | 248129.i | −0.149904 | + | 0.461357i | ||||
\(197\) | −414287. | −0.760565 | −0.380282 | − | 0.924870i | \(-0.624173\pi\) | ||||
−0.380282 | + | 0.924870i | \(0.624173\pi\) | |||||||
\(198\) | −92308.8 | − | 308092.i | −0.167332 | − | 0.558492i | ||||
\(199\) | −375806. | −0.672715 | −0.336357 | − | 0.941734i | \(-0.609195\pi\) | ||||
−0.336357 | + | 0.941734i | \(0.609195\pi\) | |||||||
\(200\) | −69304.0 | + | 213296.i | −0.122513 | + | 0.377057i | ||||
\(201\) | −559258. | + | 131747.i | −0.976387 | + | 0.230012i | ||||
\(202\) | 271925. | + | 197565.i | 0.468890 | + | 0.340668i | ||||
\(203\) | −442785. | + | 143870.i | −0.754142 | + | 0.245036i | ||||
\(204\) | −1674.47 | + | 20176.2i | −0.00281709 | + | 0.0339440i | ||||
\(205\) | 338786. | − | 466299.i | 0.563043 | − | 0.774962i | ||||
\(206\) | −471420. | + | 342507.i | −0.773998 | + | 0.562343i | ||||
\(207\) | −139590. | − | 279834.i | −0.226427 | − | 0.453915i | ||||
\(208\) | − | 15142.1i | − | 0.0242677i | ||||||
\(209\) | 564687. | + | 581341.i | 0.894215 | + | 0.920588i | ||||
\(210\) | 135939. | + | 56987.7i | 0.212713 | + | 0.0891730i | ||||
\(211\) | 494441. | + | 160654.i | 0.764555 | + | 0.248419i | 0.665232 | − | 0.746637i | \(-0.268333\pi\) |
0.0993223 | + | 0.995055i | \(0.468333\pi\) | |||||||
\(212\) | −360476. | − | 496153.i | −0.550855 | − | 0.758186i | ||||
\(213\) | 691186. | − | 419517.i | 1.04387 | − | 0.633578i | ||||
\(214\) | −99348.6 | − | 305763.i | −0.148295 | − | 0.456406i | ||||
\(215\) | 45363.7 | + | 139615.i | 0.0669287 | + | 0.205985i | ||||
\(216\) | −163170. | + | 643295.i | −0.237961 | + | 0.938157i | ||||
\(217\) | 106756. | + | 146938.i | 0.153902 | + | 0.211828i | ||||
\(218\) | 689444. | + | 224014.i | 0.982557 | + | 0.319252i | ||||
\(219\) | 437845. | − | 1.04444e6i | 0.616893 | − | 1.47154i | ||||
\(220\) | 358752. | + | 62177.2i | 0.499733 | + | 0.0866113i | ||||
\(221\) | 9490.69i | 0.0130713i | ||||||||
\(222\) | 391063. | − | 453943.i | 0.532555 | − | 0.618186i | ||||
\(223\) | 877899. | − | 637831.i | 1.18218 | − | 0.858902i | 0.189761 | − | 0.981830i | \(-0.439229\pi\) |
0.992416 | + | 0.122928i | \(0.0392285\pi\) | |||||||
\(224\) | 232660. | − | 320229.i | 0.309814 | − | 0.426423i | ||||
\(225\) | −143575. | + | 275941.i | −0.189070 | + | 0.363379i | ||||
\(226\) | −448815. | + | 145829.i | −0.584516 | + | 0.189921i | ||||
\(227\) | 794078. | + | 576932.i | 1.02282 | + | 0.743121i | 0.966859 | − | 0.255312i | \(-0.0821781\pi\) |
0.0559600 | + | 0.998433i | \(0.482178\pi\) | |||||||
\(228\) | −152475. | − | 647247.i | −0.194250 | − | 0.824580i | ||||
\(229\) | −341701. | + | 1.05165e6i | −0.430584 | + | 1.32520i | 0.466961 | + | 0.884278i | \(0.345349\pi\) |
−0.897545 | + | 0.440924i | \(0.854651\pi\) | |||||||
\(230\) | −182303. | −0.227235 | ||||||||
\(231\) | −105094. | + | 404132.i | −0.129582 | + | 0.498302i | ||||
\(232\) | −1.22202e6 | −1.49060 | ||||||||
\(233\) | 347998. | − | 1.07103e6i | 0.419939 | − | 1.29244i | −0.487818 | − | 0.872945i | \(-0.662207\pi\) |
0.907757 | − | 0.419495i | \(-0.137793\pi\) | |||||||
\(234\) | −20392.7 | + | 122013.i | −0.0243465 | + | 0.145669i | ||||
\(235\) | 302383. | + | 219694.i | 0.357180 | + | 0.259507i | ||||
\(236\) | −823433. | + | 267550.i | −0.962384 | + | 0.312698i | ||||
\(237\) | 159198. | + | 13212.2i | 0.184105 | + | 0.0152794i | ||||
\(238\) | −7956.11 | + | 10950.6i | −0.00910455 | + | 0.0125313i | ||||
\(239\) | 935104. | − | 679393.i | 1.05892 | − | 0.769354i | 0.0850353 | − | 0.996378i | \(-0.472900\pi\) |
0.973889 | + | 0.227024i | \(0.0728997\pi\) | |||||||
\(240\) | −49763.8 | − | 42870.5i | −0.0557681 | − | 0.0480431i | ||||
\(241\) | − | 678157.i | − | 0.752121i | −0.926595 | − | 0.376060i | \(-0.877279\pi\) | ||
0.926595 | − | 0.376060i | \(-0.122721\pi\) | |||||||
\(242\) | 15434.0 | − | 530933.i | 0.0169410 | − | 0.582775i | ||||
\(243\) | −370298. | + | 842715.i | −0.402287 | + | 0.915514i | ||||
\(244\) | 350016. | + | 113727.i | 0.376369 | + | 0.122290i | ||||
\(245\) | 311838. | + | 429208.i | 0.331905 | + | 0.456827i | ||||
\(246\) | 357956. | + | 589760.i | 0.377131 | + | 0.621352i | ||||
\(247\) | −96327.3 | − | 296465.i | −0.100463 | − | 0.309194i | ||||
\(248\) | 147316. | + | 453393.i | 0.152097 | + | 0.468107i | ||||
\(249\) | −378270. | − | 623229.i | −0.386637 | − | 0.637014i | ||||
\(250\) | 366793. | + | 504847.i | 0.371168 | + | 0.510869i | ||||
\(251\) | −336658. | − | 109387.i | −0.337291 | − | 0.109592i | 0.135474 | − | 0.990781i | \(-0.456744\pi\) |
−0.472765 | + | 0.881188i | \(0.656744\pi\) | |||||||
\(252\) | 244321. | − | 240190.i | 0.242359 | − | 0.238261i | ||||
\(253\) | −73370.2 | − | 511211.i | −0.0720640 | − | 0.502110i | ||||
\(254\) | 91653.0i | 0.0891379i | ||||||||
\(255\) | 31190.7 | + | 26870.2i | 0.0300383 | + | 0.0258774i | ||||
\(256\) | 786886. | − | 571706.i | 0.750433 | − | 0.545222i | ||||
\(257\) | 849721. | − | 1.16954e6i | 0.802498 | − | 1.10454i | −0.189940 | − | 0.981796i | \(-0.560829\pi\) |
0.992438 | − | 0.122748i | \(-0.0391706\pi\) | |||||||
\(258\) | −175109. | − | 14532.7i | −0.163780 | − | 0.0135925i | ||||
\(259\) | −739835. | + | 240387.i | −0.685307 | + | 0.222670i | ||||
\(260\) | −113297. | − | 82315.4i | −0.103941 | − | 0.0755175i | ||||
\(261\) | −1.67172e6 | − | 279404.i | −1.51901 | − | 0.253882i | ||||
\(262\) | −22291.4 | + | 68605.9i | −0.0200625 | + | 0.0617459i | ||||
\(263\) | 63759.2 | 0.0568399 | 0.0284199 | − | 0.999596i | \(-0.490952\pi\) | ||||
0.0284199 | + | 0.999596i | \(0.490952\pi\) | |||||||
\(264\) | −590138. | + | 923598.i | −0.521127 | + | 0.815592i | ||||
\(265\) | −1.24709e6 | −1.09089 | ||||||||
\(266\) | 137383. | − | 422822.i | 0.119050 | − | 0.366398i | ||||
\(267\) | 131700. | + | 559060.i | 0.113060 | + | 0.479933i | ||||
\(268\) | 629862. | + | 457622.i | 0.535684 | + | 0.389197i | ||||
\(269\) | 831747. | − | 270251.i | 0.700827 | − | 0.227712i | 0.0631360 | − | 0.998005i | \(-0.479890\pi\) |
0.637691 | + | 0.770293i | \(0.279890\pi\) | |||||||
\(270\) | 343253. | + | 412464.i | 0.286553 | + | 0.344332i | ||||
\(271\) | 569134. | − | 783345.i | 0.470751 | − | 0.647933i | −0.505944 | − | 0.862566i | \(-0.668856\pi\) |
0.976695 | + | 0.214633i | \(0.0688557\pi\) | |||||||
\(272\) | 4879.74 | − | 3545.34i | 0.00399921 | − | 0.00290560i | ||||
\(273\) | 104828. | − | 121683.i | 0.0851273 | − | 0.0988152i | ||||
\(274\) | − | 522138.i | − | 0.420155i | ||||||
\(275\) | −368487. | + | 357931.i | −0.293826 | + | 0.285409i | ||||
\(276\) | −163826. | + | 390790.i | −0.129452 | + | 0.308795i | ||||
\(277\) | −40100.0 | − | 13029.3i | −0.0314011 | − | 0.0102028i | 0.293274 | − | 0.956028i | \(-0.405255\pi\) |
−0.324675 | + | 0.945825i | \(0.605255\pi\) | |||||||
\(278\) | −441444. | − | 607595.i | −0.342581 | − | 0.471523i | ||||
\(279\) | 97863.3 | + | 653920.i | 0.0752679 | + | 0.502938i | ||||
\(280\) | −155224. | − | 477730.i | −0.118322 | − | 0.364156i | ||||
\(281\) | 444465. | + | 1.36792e6i | 0.335793 | + | 1.03347i | 0.966330 | + | 0.257306i | \(0.0828349\pi\) |
−0.630537 | + | 0.776160i | \(0.717165\pi\) | |||||||
\(282\) | −382444. | + | 232125.i | −0.286381 | + | 0.173820i | ||||
\(283\) | 1.35713e6 | + | 1.86793e6i | 1.00729 | + | 1.38642i | 0.920744 | + | 0.390168i | \(0.127583\pi\) |
0.0865467 | + | 0.996248i | \(0.472417\pi\) | |||||||
\(284\) | −1.04197e6 | − | 338555.i | −0.766581 | − | 0.249077i | ||||
\(285\) | −1.24704e6 | − | 522780.i | −0.909428 | − | 0.381248i | ||||
\(286\) | −95384.4 | + | 180664.i | −0.0689545 | + | 0.130604i | ||||
\(287\) | − | 895705.i | − | 0.641890i | ||||||
\(288\) | 1.28947e6 | − | 643227.i | 0.916069 | − | 0.456965i | ||||
\(289\) | 1.14563e6 | − | 832349.i | 0.806863 | − | 0.586220i | ||||
\(290\) | −580774. | + | 799367.i | −0.405520 | + | 0.558150i | ||||
\(291\) | −161877. | + | 1.95050e6i | −0.112061 | + | 1.35025i | ||||
\(292\) | −1.45946e6 | + | 474206.i | −1.00169 | + | 0.325470i | ||||
\(293\) | −334947. | − | 243353.i | −0.227933 | − | 0.165603i | 0.467958 | − | 0.883751i | \(-0.344990\pi\) |
−0.695890 | + | 0.718148i | \(0.744990\pi\) | |||||||
\(294\) | −618094. | + | 145607.i | −0.417048 | + | 0.0982461i | ||||
\(295\) | −544056. | + | 1.67443e6i | −0.363989 | + | 1.12024i | ||||
\(296\) | −2.04184e6 | −1.35454 | ||||||||
\(297\) | −1.01848e6 | + | 1.12854e6i | −0.669977 | + | 0.742382i | ||||
\(298\) | −1.51910e6 | −0.990933 | ||||||||
\(299\) | −61383.4 | + | 188919.i | −0.0397075 | + | 0.122207i | ||||
\(300\) | 410262. | − | 96647.4i | 0.263183 | − | 0.0619993i | ||||
\(301\) | 184562. | + | 134092.i | 0.117416 | + | 0.0853074i | ||||
\(302\) | 935682. | − | 304022.i | 0.590352 | − | 0.191817i | ||||
\(303\) | 131396. | − | 1.58323e6i | 0.0822198 | − | 0.990691i | ||||
\(304\) | −116447. | + | 160275.i | −0.0722675 | + | 0.0994676i | ||||
\(305\) | 605450. | − | 439885.i | 0.372674 | − | 0.270763i | ||||
\(306\) | −44094.9 | + | 21996.0i | −0.0269206 | + | 0.0134289i | ||||
\(307\) | − | 962836.i | − | 0.583051i | −0.956563 | − | 0.291525i | \(-0.905837\pi\) | ||
0.956563 | − | 0.291525i | \(-0.0941628\pi\) | |||||||
\(308\) | 507830. | − | 249525.i | 0.305029 | − | 0.149878i | ||||
\(309\) | 2.54002e6 | + | 1.06482e6i | 1.51336 | + | 0.634425i | ||||
\(310\) | 366592. | + | 119113.i | 0.216660 | + | 0.0703971i | ||||
\(311\) | −56693.8 | − | 78032.3i | −0.0332380 | − | 0.0457481i | 0.792075 | − | 0.610424i | \(-0.209001\pi\) |
−0.825313 | + | 0.564676i | \(0.809001\pi\) | |||||||
\(312\) | 360380. | − | 218734.i | 0.209592 | − | 0.127212i | ||||
\(313\) | 319446. | + | 983153.i | 0.184305 | + | 0.567232i | 0.999936 | − | 0.0113409i | \(-0.00361001\pi\) |
−0.815631 | + | 0.578572i | \(0.803610\pi\) | |||||||
\(314\) | 100452. | + | 309159.i | 0.0574956 | + | 0.176953i | ||||
\(315\) | −103117. | − | 689022.i | −0.0585534 | − | 0.391252i | ||||
\(316\) | −127231. | − | 175119.i | −0.0716764 | − | 0.0986541i | ||||
\(317\) | 2.27509e6 | + | 739222.i | 1.27160 | + | 0.413168i | 0.865614 | − | 0.500712i | \(-0.166928\pi\) |
0.405986 | + | 0.913879i | \(0.366928\pi\) | |||||||
\(318\) | 577102. | − | 1.37662e6i | 0.320026 | − | 0.763389i | ||||
\(319\) | −2.47531e6 | − | 1.30688e6i | −1.36192 | − | 0.719049i | ||||
\(320\) | − | 705214.i | − | 0.384987i | ||||||
\(321\) | −991803. | + | 1.15128e6i | −0.537233 | + | 0.623617i | ||||
\(322\) | −229198. | + | 166522.i | −0.123189 | + | 0.0895018i | ||||
\(323\) | 72985.8 | − | 100456.i | 0.0389253 | − | 0.0535761i | ||||
\(324\) | 1.19263e6 | − | 365148.i | 0.631166 | − | 0.193244i | ||||
\(325\) | 187916. | − | 61057.7i | 0.0986861 | − | 0.0320651i | ||||
\(326\) | 55225.6 | + | 40123.8i | 0.0287804 | + | 0.0209102i | ||||
\(327\) | −785664. | − | 3.33509e6i | −0.406319 | − | 1.72480i | ||||
\(328\) | 726508. | − | 2.23596e6i | 0.372869 | − | 1.14757i | ||||
\(329\) | 580841. | 0.295847 | ||||||||
\(330\) | 323689. | + | 824974.i | 0.163623 | + | 0.417019i | ||||
\(331\) | −875794. | −0.439372 | −0.219686 | − | 0.975571i | \(-0.570503\pi\) | ||||
−0.219686 | + | 0.975571i | \(0.570503\pi\) | |||||||
\(332\) | −305269. | + | 939520.i | −0.151998 | + | 0.467801i | ||||
\(333\) | −2.79322e6 | − | 466847.i | −1.38037 | − | 0.230709i | ||||
\(334\) | 216617. | + | 157381.i | 0.106249 | + | 0.0771946i | ||||
\(335\) | 1.50568e6 | − | 489225.i | 0.733029 | − | 0.238175i | ||||
\(336\) | −101724. | − | 8442.32i | −0.0491559 | − | 0.00407956i | ||||
\(337\) | 2.21164e6 | − | 3.04407e6i | 1.06082 | − | 1.46009i | 0.181779 | − | 0.983339i | \(-0.441815\pi\) |
0.879039 | − | 0.476750i | \(-0.158185\pi\) | |||||||
\(338\) | −927110. | + | 673585.i | −0.441407 | + | 0.320701i | ||||
\(339\) | 1.68990e6 | + | 1.45582e6i | 0.798662 | + | 0.688031i | ||||
\(340\) | − | 55784.7i | − | 0.0261709i | ||||||
\(341\) | −186474. | + | 1.07593e6i | −0.0868427 | + | 0.501069i | ||||
\(342\) | 1.15416e6 | − | 1.13465e6i | 0.533582 | − | 0.524560i | ||||
\(343\) | 1.85105e6 | + | 601444.i | 0.849540 | + | 0.276032i | ||||
\(344\) | 351962. | + | 484434.i | 0.160361 | + | 0.220718i | ||||
\(345\) | 447083. | + | 736603.i | 0.202227 | + | 0.333185i | ||||
\(346\) | 74776.7 | + | 230139.i | 0.0335796 | + | 0.103347i | ||||
\(347\) | −1.11736e6 | − | 3.43888e6i | −0.498161 | − | 1.53318i | −0.811972 | − | 0.583696i | \(-0.801606\pi\) |
0.313811 | − | 0.949485i | \(-0.398394\pi\) | |||||||
\(348\) | 1.19163e6 | + | 1.96331e6i | 0.527466 | + | 0.869041i | ||||
\(349\) | 1.57095e6 | + | 2.16222e6i | 0.690396 | + | 0.950248i | 1.00000 | 0.000617535i | \(-0.000196567\pi\) | |
−0.309604 | + | 0.950866i | \(0.600197\pi\) | |||||||
\(350\) | 268009. | + | 87081.3i | 0.116944 | + | 0.0379975i | ||||
\(351\) | 543008. | − | 216828.i | 0.235255 | − | 0.0939394i | ||||
\(352\) | 2.35565e6 | − | 338088.i | 1.01334 | − | 0.145436i | ||||
\(353\) | 2.70403e6i | 1.15498i | 0.816397 | + | 0.577491i | \(0.195968\pi\) | ||||
−0.816397 | + | 0.577491i | \(0.804032\pi\) | |||||||
\(354\) | −1.59658e6 | − | 1.37543e6i | −0.677148 | − | 0.583349i | ||||
\(355\) | −1.80237e6 | + | 1.30950e6i | −0.759054 | + | 0.551485i | ||||
\(356\) | 457460. | − | 629639.i | 0.191306 | − | 0.263310i | ||||
\(357\) | 63758.1 | + | 5291.44i | 0.0264767 | + | 0.00219737i | ||||
\(358\) | −212347. | + | 68995.6i | −0.0875665 | + | 0.0284521i | ||||
\(359\) | −3.19453e6 | − | 2.32096e6i | −1.30819 | − | 0.950456i | −0.308191 | − | 0.951325i | \(-0.599724\pi\) |
−1.00000 | 0.000868475i | \(0.999724\pi\) | ||||||||
\(360\) | 301455. | − | 1.80365e6i | 0.122593 | − | 0.733494i | ||||
\(361\) | −495135. | + | 1.52387e6i | −0.199966 | + | 0.615431i | ||||
\(362\) | 1.00112e6 | 0.401526 | ||||||||
\(363\) | −2.18310e6 | + | 1.23970e6i | −0.869575 | + | 0.493800i | ||||
\(364\) | −217631. | −0.0860928 | ||||||||
\(365\) | −964287. | + | 2.96777e6i | −0.378856 | + | 1.16600i | ||||
\(366\) | 205397. | + | 871898.i | 0.0801478 | + | 0.340222i | ||||
\(367\) | −3.22194e6 | − | 2.34088e6i | −1.24868 | − | 0.907222i | −0.250540 | − | 0.968106i | \(-0.580608\pi\) |
−0.998145 | + | 0.0608840i | \(0.980608\pi\) | |||||||
\(368\) | 120065. | − | 39011.5i | 0.0462165 | − | 0.0150166i | ||||
\(369\) | 1.50509e6 | − | 2.89267e6i | 0.575435 | − | 1.10594i | ||||
\(370\) | −970396. | + | 1.33563e6i | −0.368506 | + | 0.507205i | ||||
\(371\) | −1.56788e6 | + | 1.13913e6i | −0.591395 | + | 0.429673i | ||||
\(372\) | 584769. | − | 678796.i | 0.219092 | − | 0.254321i | ||||
\(373\) | 2.11449e6i | 0.786925i | 0.919341 | + | 0.393462i | \(0.128723\pi\) | ||||
−0.919341 | + | 0.393462i | \(0.871277\pi\) | |||||||
\(374\) | −80554.4 | + | 11561.4i | −0.0297790 | + | 0.00427395i | ||||
\(375\) | 1.14032e6 | − | 2.72013e6i | 0.418745 | − | 0.998876i | ||||
\(376\) | 1.44996e6 | + | 471121.i | 0.528916 | + | 0.171855i | ||||
\(377\) | 632821. | + | 871003.i | 0.229312 | + | 0.315621i | ||||
\(378\) | 808307. | + | 205025.i | 0.290969 | + | 0.0738034i | ||||
\(379\) | −303951. | − | 935464.i | −0.108694 | − | 0.334525i | 0.881886 | − | 0.471463i | \(-0.156274\pi\) |
−0.990580 | + | 0.136938i | \(0.956274\pi\) | |||||||
\(380\) | 566196. | + | 1.74257e6i | 0.201144 | + | 0.619058i | ||||
\(381\) | 370327. | − | 224771.i | 0.130699 | − | 0.0793281i | ||||
\(382\) | 1.26040e6 | + | 1.73480e6i | 0.441927 | + | 0.608261i | ||||
\(383\) | −3.88935e6 | − | 1.26373e6i | −1.35482 | − | 0.440206i | −0.460507 | − | 0.887656i | \(-0.652332\pi\) |
−0.894309 | + | 0.447450i | \(0.852332\pi\) | |||||||
\(384\) | −1.94959e6 | − | 817300.i | −0.674707 | − | 0.282848i | ||||
\(385\) | 196484. | − | 1.13368e6i | 0.0675579 | − | 0.389798i | ||||
\(386\) | 1.90386e6i | 0.650380i | ||||||||
\(387\) | 370720. | + | 743174.i | 0.125825 | + | 0.252240i | ||||
\(388\) | 2.14557e6 | − | 1.55885e6i | 0.723541 | − | 0.525683i | ||||
\(389\) | −141113. | + | 194226.i | −0.0472817 | + | 0.0650777i | −0.832003 | − | 0.554771i | \(-0.812806\pi\) |
0.784721 | + | 0.619849i | \(0.212806\pi\) | |||||||
\(390\) | 28191.8 | − | 339691.i | 0.00938557 | − | 0.113090i | ||||
\(391\) | −75253.7 | + | 24451.4i | −0.0248935 | + | 0.00808839i | ||||
\(392\) | 1.75073e6 | + | 1.27198e6i | 0.575444 | + | 0.418084i | ||||
\(393\) | 331872. | − | 78180.6i | 0.108390 | − | 0.0255339i | ||||
\(394\) | −422225. | + | 1.29947e6i | −0.137026 | + | 0.421723i | ||||
\(395\) | −440164. | −0.141945 | ||||||||
\(396\) | 2.05932e6 | + | 47488.7i | 0.659911 | + | 0.0152178i | ||||
\(397\) | −176136. | −0.0560882 | −0.0280441 | − | 0.999607i | \(-0.508928\pi\) | ||||
−0.0280441 | + | 0.999607i | \(0.508928\pi\) | |||||||
\(398\) | −383006. | + | 1.17877e6i | −0.121199 | + | 0.373011i | ||||
\(399\) | −2.04534e6 | + | 481832.i | −0.643183 | + | 0.151518i | ||||
\(400\) | −101591. | − | 73810.5i | −0.0317473 | − | 0.0230658i | ||||
\(401\) | −779035. | + | 253124.i | −0.241934 | + | 0.0786090i | −0.427474 | − | 0.904028i | \(-0.640596\pi\) |
0.185540 | + | 0.982637i | \(0.440596\pi\) | |||||||
\(402\) | −156728. | + | 1.88847e6i | −0.0483707 | + | 0.582833i | ||||
\(403\) | 246871. | − | 339788.i | 0.0757193 | − | 0.104219i | ||||
\(404\) | −1.74157e6 | + | 1.26532e6i | −0.530868 | + | 0.385698i | ||||
\(405\) | 824777. | − | 2.39846e6i | 0.249861 | − | 0.726598i | ||||
\(406\) | 1.53549e6i | 0.462308i | ||||||||
\(407\) | −4.13590e6 | − | 2.18362e6i | −1.23761 | − | 0.653417i | ||||
\(408\) | 154868. | + | 64923.4i | 0.0460587 | + | 0.0193086i | ||||
\(409\) | −3.37829e6 | − | 1.09767e6i | −0.998594 | − | 0.324463i | −0.236290 | − | 0.971683i | \(-0.575932\pi\) |
−0.762303 | + | 0.647220i | \(0.775932\pi\) | |||||||
\(410\) | −1.11734e6 | − | 1.53789e6i | −0.328266 | − | 0.451819i | ||||
\(411\) | −2.10972e6 | + | 1.28050e6i | −0.616055 | + | 0.373916i | ||||
\(412\) | −1.15325e6 | − | 3.54934e6i | −0.334719 | − | 1.03016i | ||||
\(413\) | 845476. | + | 2.60211e6i | 0.243908 | + | 0.750672i | ||||
\(414\) | −1.02000e6 | + | 152650.i | −0.292483 | + | 0.0437720i | ||||
\(415\) | 1.18075e6 | + | 1.62516e6i | 0.336540 | + | 0.463208i | ||||
\(416\) | −870532. | − | 282853.i | −0.246633 | − | 0.0801359i | ||||
\(417\) | −1.37241e6 | + | 3.27374e6i | −0.386494 | + | 0.921943i | ||||
\(418\) | 2.39897e6 | − | 1.17875e6i | 0.671558 | − | 0.329974i | ||||
\(419\) | 88856.3i | 0.0247259i | 0.999924 | + | 0.0123630i | \(0.00393536\pi\) | ||||
−0.999924 | + | 0.0123630i | \(0.996065\pi\) | |||||||
\(420\) | −616159. | + | 715233.i | −0.170439 | + | 0.197845i | ||||
\(421\) | 1.20189e6 | − | 873226.i | 0.330491 | − | 0.240116i | −0.410148 | − | 0.912019i | \(-0.634523\pi\) |
0.740639 | + | 0.671903i | \(0.234523\pi\) | |||||||
\(422\) | 1.00783e6 | − | 1.38716e6i | 0.275490 | − | 0.379179i | ||||
\(423\) | 1.87582e6 | + | 976010.i | 0.509729 | + | 0.265218i | ||||
\(424\) | −4.83787e6 | + | 1.57192e6i | −1.30689 | + | 0.424634i | ||||
\(425\) | 63675.0 | + | 46262.6i | 0.0171000 | + | 0.0124239i | ||||
\(426\) | −611449. | − | 2.59556e6i | −0.163244 | − | 0.692958i | ||||
\(427\) | 359386. | − | 1.10608e6i | 0.0953874 | − | 0.293572i | ||||
\(428\) | 2.05907e6 | 0.543326 | ||||||||
\(429\) | 963900. | − | 57658.1i | 0.252865 | − | 0.0151258i | ||||
\(430\) | 484156. | 0.126274 | ||||||||
\(431\) | 2.21277e6 | − | 6.81020e6i | 0.573777 | − | 1.76590i | −0.0665310 | − | 0.997784i | \(-0.521193\pi\) |
0.640308 | − | 0.768119i | \(-0.278807\pi\) | |||||||
\(432\) | −314330. | − | 198195.i | −0.0810358 | − | 0.0510956i | ||||
\(433\) | −1.16756e6 | − | 848284.i | −0.299268 | − | 0.217431i | 0.428010 | − | 0.903774i | \(-0.359215\pi\) |
−0.727278 | + | 0.686343i | \(0.759215\pi\) | |||||||
\(434\) | 569693. | − | 185105.i | 0.145183 | − | 0.0471729i | ||||
\(435\) | 4.65416e6 | + | 386260.i | 1.17928 | + | 0.0978716i | ||||
\(436\) | −2.72899e6 | + | 3.75614e6i | −0.687521 | + | 0.946292i | ||||
\(437\) | 2.10256e6 | − | 1.52760e6i | 0.526677 | − | 0.382653i | ||||
\(438\) | −2.82979e6 | − | 2.43781e6i | −0.704806 | − | 0.607176i | ||||
\(439\) | 3.23825e6i | 0.801954i | 0.916088 | + | 0.400977i | \(0.131329\pi\) | ||||
−0.916088 | + | 0.400977i | \(0.868671\pi\) | |||||||
\(440\) | 1.41002e6 | − | 2.67066e6i | 0.347211 | − | 0.657638i | ||||
\(441\) | 2.10415e6 | + | 2.14034e6i | 0.515206 | + | 0.524067i | ||||
\(442\) | 29769.0 | + | 9672.52i | 0.00724783 | + | 0.00235496i | ||||
\(443\) | 2.88825e6 | + | 3.97534e6i | 0.699239 | + | 0.962420i | 0.999962 | + | 0.00870834i | \(0.00277199\pi\) |
−0.300723 | + | 0.953711i | \(0.597228\pi\) | |||||||
\(444\) | 1.99106e6 | + | 3.28042e6i | 0.479322 | + | 0.789719i | ||||
\(445\) | −489052. | − | 1.50515e6i | −0.117073 | − | 0.360312i | ||||
\(446\) | −1.10593e6 | − | 3.40371e6i | −0.263264 | − | 0.810244i | ||||
\(447\) | 3.72545e6 | + | 6.13795e6i | 0.881880 | + | 1.45296i | ||||
\(448\) | −644165. | − | 886617.i | −0.151636 | − | 0.208709i | ||||
\(449\) | 5.72820e6 | + | 1.86121e6i | 1.34092 | + | 0.435691i | 0.889628 | − | 0.456686i | \(-0.150964\pi\) |
0.451291 | + | 0.892377i | \(0.350964\pi\) | |||||||
\(450\) | 719204. | + | 731573.i | 0.167425 | + | 0.170305i | ||||
\(451\) | 3.86282e6 | − | 3.75216e6i | 0.894258 | − | 0.868641i | ||||
\(452\) | − | 3.02240e6i | − | 0.695835i | ||||||
\(453\) | −3.52309e6 | − | 3.03507e6i | −0.806636 | − | 0.694901i | ||||
\(454\) | 2.61892e6 | − | 1.90276e6i | 0.596325 | − | 0.433256i | ||||
\(455\) | −260122. | + | 358028.i | −0.0589046 | + | 0.0810752i | ||||
\(456\) | −5.49664e6 | − | 456179.i | −1.23790 | − | 0.102736i | ||||
\(457\) | 2.75445e6 | − | 894976.i | 0.616943 | − | 0.200457i | 0.0161604 | − | 0.999869i | \(-0.494856\pi\) |
0.600783 | + | 0.799412i | \(0.294856\pi\) | |||||||
\(458\) | 2.95040e6 | + | 2.14359e6i | 0.657231 | + | 0.477506i | ||||
\(459\) | 197014. | + | 124224.i | 0.0436482 | + | 0.0275216i | ||||
\(460\) | 360801. | − | 1.11043e6i | 0.0795012 | − | 0.244679i | ||||
\(461\) | 7.38752e6 | 1.61900 | 0.809500 | − | 0.587120i | \(-0.199739\pi\) | ||||
0.809500 | + | 0.587120i | \(0.199739\pi\) | |||||||
\(462\) | 1.16051e6 | + | 741516.i | 0.252956 | + | 0.161628i | ||||
\(463\) | −539443. | −0.116948 | −0.0584740 | − | 0.998289i | \(-0.518623\pi\) | ||||
−0.0584740 | + | 0.998289i | \(0.518623\pi\) | |||||||
\(464\) | 211439. | − | 650743.i | 0.0455922 | − | 0.140318i | ||||
\(465\) | −417754. | − | 1.77334e6i | −0.0895960 | − | 0.380329i | ||||
\(466\) | −3.00477e6 | − | 2.18309e6i | −0.640983 | − | 0.465701i | ||||
\(467\) | −3.51676e6 | + | 1.14267e6i | −0.746193 | + | 0.242453i | −0.657342 | − | 0.753592i | \(-0.728319\pi\) |
−0.0888504 | + | 0.996045i | \(0.528319\pi\) | |||||||
\(468\) | −702836. | − | 365694.i | −0.148333 | − | 0.0771796i | ||||
\(469\) | 1.44612e6 | − | 1.99041e6i | 0.303579 | − | 0.417840i | ||||
\(470\) | 997278. | − | 724565.i | 0.208244 | − | 0.151298i | ||||
\(471\) | 1.00282e6 | − | 1.16407e6i | 0.208291 | − | 0.241783i | ||||
\(472\) | 7.18144e6i | 1.48374i | ||||||||
\(473\) | 194855. | + | 1.35766e6i | 0.0400459 | + | 0.279022i | ||||
\(474\) | 203690. | − | 485883.i | 0.0416413 | − | 0.0993312i | ||||
\(475\) | −2.45859e6 | − | 798845.i | −0.499980 | − | 0.162453i | ||||
\(476\) | −50955.6 | − | 70134.3i | −0.0103080 | − | 0.0141877i | ||||
\(477\) | −6.97757e6 | + | 1.04424e6i | −1.40413 | + | 0.210137i | ||||
\(478\) | −1.17800e6 | − | 3.62550e6i | −0.235816 | − | 0.725769i | ||||
\(479\) | −490503. | − | 1.50961e6i | −0.0976794 | − | 0.300626i | 0.890263 | − | 0.455446i | \(-0.150520\pi\) |
−0.987943 | + | 0.154820i | \(0.950520\pi\) | |||||||
\(480\) | −3.39424e6 | + | 2.06014e6i | −0.672419 | + | 0.408126i | ||||
\(481\) | 1.05736e6 | + | 1.45533e6i | 0.208382 | + | 0.286813i | ||||
\(482\) | −2.12714e6 | − | 691149.i | −0.417041 | − | 0.135505i | ||||
\(483\) | 1.23492e6 | + | 517701.i | 0.240864 | + | 0.100974i | ||||
\(484\) | 3.20343e6 | + | 1.14479e6i | 0.621587 | + | 0.222133i | ||||
\(485\) | − | 5.39291e6i | − | 1.04104i | ||||||
\(486\) | 2.26591e6 | + | 2.02035e6i | 0.435162 | + | 0.388005i | ||||
\(487\) | −4.17014e6 | + | 3.02978e6i | −0.796761 | + | 0.578880i | −0.909962 | − | 0.414692i | \(-0.863889\pi\) |
0.113201 | + | 0.993572i | \(0.463889\pi\) | |||||||
\(488\) | 1.79428e6 | − | 2.46961e6i | 0.341068 | − | 0.469439i | ||||
\(489\) | 26685.4 | − | 321541.i | 0.00504664 | − | 0.0608084i | ||||
\(490\) | 1.66409e6 | − | 540694.i | 0.313102 | − | 0.101733i | ||||
\(491\) | −312167. | − | 226803.i | −0.0584364 | − | 0.0424565i | 0.558184 | − | 0.829717i | \(-0.311498\pi\) |
−0.616620 | + | 0.787261i | \(0.711498\pi\) | |||||||
\(492\) | −4.30074e6 | + | 1.01315e6i | −0.800997 | + | 0.188695i | ||||
\(493\) | −132525. | + | 407870.i | −0.0245573 | + | 0.0755795i | ||||
\(494\) | −1.02808e6 | −0.189544 | ||||||||
\(495\) | 2.53951e6 | − | 3.33105e6i | 0.465841 | − | 0.611038i | ||||
\(496\) | −266927. | −0.0487178 | ||||||||
\(497\) | −1.06986e6 | + | 3.29269e6i | −0.194283 | + | 0.597942i | ||||
\(498\) | −2.34037e6 | + | 551331.i | −0.422873 | + | 0.0996183i | ||||
\(499\) | −730334. | − | 530618.i | −0.131302 | − | 0.0953962i | 0.520196 | − | 0.854047i | \(-0.325859\pi\) |
−0.651498 | + | 0.758651i | \(0.725859\pi\) | |||||||
\(500\) | −3.80101e6 | + | 1.23502e6i | −0.679946 | + | 0.220928i | ||||
\(501\) | 104671. | − | 1.26121e6i | 0.0186308 | − | 0.224488i | ||||
\(502\) | −686216. | + | 944495.i | −0.121535 | + | 0.167279i | ||||
\(503\) | −2.99564e6 | + | 2.17646e6i | −0.527922 | + | 0.383558i | −0.819580 | − | 0.572965i | \(-0.805793\pi\) |
0.291658 | + | 0.956523i | \(0.405793\pi\) | |||||||
\(504\) | −1.26852e6 | − | 2.54297e6i | −0.222443 | − | 0.445928i | ||||
\(505\) | 4.37745e6i | 0.763823i | ||||||||
\(506\) | −1.67827e6 | − | 290869.i | −0.291396 | − | 0.0505034i | ||||
\(507\) | 4.99529e6 | + | 2.09411e6i | 0.863060 | + | 0.361809i | ||||
\(508\) | −558269. | − | 181393.i | −0.0959808 | − | 0.0311861i | ||||
\(509\) | 617505. | + | 849923.i | 0.105644 | + | 0.145407i | 0.858566 | − | 0.512704i | \(-0.171356\pi\) |
−0.752921 | + | 0.658110i | \(0.771356\pi\) | |||||||
\(510\) | 116071. | − | 70449.3i | 0.0197604 | − | 0.0119936i | ||||
\(511\) | 1.49853e6 | + | 4.61199e6i | 0.253870 | + | 0.781332i | ||||
\(512\) | 349720. | + | 1.07633e6i | 0.0589583 | + | 0.181455i | ||||
\(513\) | −7.41505e6 | − | 1.88080e6i | −1.24400 | − | 0.315537i | ||||
\(514\) | −2.80244e6 | − | 3.85723e6i | −0.467873 | − | 0.643972i | ||||
\(515\) | −7.21749e6 | − | 2.34511e6i | −1.19914 | − | 0.389623i | ||||
\(516\) | 435084. | − | 1.03785e6i | 0.0719364 | − | 0.171597i | ||||
\(517\) | 2.43318e6 | + | 2.50493e6i | 0.400357 | + | 0.412164i | ||||
\(518\) | 2.56559e6i | 0.420111i | ||||||||
\(519\) | 746501. | − | 866533.i | 0.121650 | − | 0.141210i | ||||
\(520\) | −939744. | + | 682764.i | −0.152406 | + | 0.110729i | ||||
\(521\) | 909723. | − | 1.25213e6i | 0.146830 | − | 0.202094i | −0.729267 | − | 0.684229i | \(-0.760139\pi\) |
0.876097 | + | 0.482135i | \(0.160139\pi\) | |||||||
\(522\) | −2.58014e6 | + | 4.95884e6i | −0.414445 | + | 0.796532i | ||||
\(523\) | 4.09185e6 | − | 1.32952e6i | 0.654131 | − | 0.212540i | 0.0368965 | − | 0.999319i | \(-0.488253\pi\) |
0.617235 | + | 0.786779i | \(0.288253\pi\) | |||||||
\(524\) | −373769. | − | 271559.i | −0.0594669 | − | 0.0432052i | ||||
\(525\) | −305412. | − | 1.29646e6i | −0.0483602 | − | 0.205286i | ||||
\(526\) | 64980.7 | − | 199990.i | 0.0102405 | − | 0.0315169i | ||||
\(527\) | 167303. | 0.0262408 | ||||||||
\(528\) | −389719. | − | 474061.i | −0.0608369 | − | 0.0740030i | ||||
\(529\) | 4.78022e6 | 0.742692 | ||||||||
\(530\) | −1.27098e6 | + | 3.91167e6i | −0.196539 | + | 0.604885i | ||||
\(531\) | −1.64197e6 | + | 9.82415e6i | −0.252714 | + | 1.51202i | ||||
\(532\) | 2.30356e6 | + | 1.67364e6i | 0.352875 | + | 0.256379i | ||||
\(533\) | −1.96991e6 | + | 640063.i | −0.300351 | + | 0.0975899i | ||||
\(534\) | 1.88780e6 | + | 156673.i | 0.286485 | + | 0.0237761i | ||||
\(535\) | 2.46109e6 | − | 3.38740e6i | 0.371743 | − | 0.511661i | ||||
\(536\) | 5.22438e6 | − | 3.79574e6i | 0.785458 | − | 0.570669i | ||||
\(537\) | 799540. | + | 688788.i | 0.119648 | + | 0.103074i | ||||
\(538\) | − | 2.88433e6i | − | 0.429624i | ||||||
\(539\) | 2.18593e6 | + | 4.44878e6i | 0.324090 | + | 0.659582i | ||||
\(540\) | −3.19171e6 | + | 1.27448e6i | −0.471020 | + | 0.188082i | ||||
\(541\) | −7.84180e6 | − | 2.54795e6i | −1.15192 | − | 0.374282i | −0.330054 | − | 0.943962i | \(-0.607067\pi\) |
−0.821866 | + | 0.569680i | \(0.807067\pi\) | |||||||
\(542\) | −1.87704e6 | − | 2.58353e6i | −0.274458 | − | 0.377759i | ||||
\(543\) | −2.45515e6 | − | 4.04505e6i | −0.357337 | − | 0.588740i | ||||
\(544\) | −112671. | − | 346767.i | −0.0163236 | − | 0.0502389i | ||||
\(545\) | 2.91746e6 | + | 8.97901e6i | 0.420740 | + | 1.29490i | ||||
\(546\) | −274841. | − | 452822.i | −0.0394548 | − | 0.0650048i | ||||
\(547\) | 4.47609e6 | + | 6.16081e6i | 0.639633 | + | 0.880379i | 0.998596 | − | 0.0529727i | \(-0.0168696\pi\) |
−0.358963 | + | 0.933352i | \(0.616870\pi\) | |||||||
\(548\) | 3.18041e6 | + | 1.03338e6i | 0.452409 | + | 0.146997i | ||||
\(549\) | 3.01921e6 | − | 2.96817e6i | 0.427526 | − | 0.420298i | ||||
\(550\) | 747157. | + | 1.52060e6i | 0.105319 | + | 0.214343i | ||||
\(551\) | − | 1.40859e7i | − | 1.97654i | ||||||
\(552\) | 2.66285e6 | + | 2.29399e6i | 0.371962 | + | 0.320438i | ||||
\(553\) | −553388. | + | 402060.i | −0.0769515 | + | 0.0559085i | ||||
\(554\) | −81736.6 | + | 112501.i | −0.0113147 | + | 0.0155733i | ||||
\(555\) | 7.77648e6 | + | 645389.i | 1.07164 | + | 0.0889384i | ||||
\(556\) | 4.57461e6 | − | 1.48638e6i | 0.627577 | − | 0.203912i | ||||
\(557\) | −6.77355e6 | − | 4.92127e6i | −0.925077 | − | 0.672108i | 0.0197051 | − | 0.999806i | \(-0.493727\pi\) |
−0.944783 | + | 0.327698i | \(0.893727\pi\) | |||||||
\(558\) | 2.15085e6 | + | 359485.i | 0.292432 | + | 0.0488760i | ||||
\(559\) | 163020. | − | 501725.i | 0.0220654 | − | 0.0679104i | ||||
\(560\) | 281255. | 0.0378992 | ||||||||
\(561\) | 244266. | + | 297129.i | 0.0327685 | + | 0.0398601i | ||||
\(562\) | 4.74368e6 | 0.633540 | ||||||||
\(563\) | −1.99413e6 | + | 6.13729e6i | −0.265144 | + | 0.816030i | 0.726516 | + | 0.687149i | \(0.241138\pi\) |
−0.991660 | + | 0.128880i | \(0.958862\pi\) | |||||||
\(564\) | −656998. | − | 2.78892e6i | −0.0869694 | − | 0.369180i | ||||
\(565\) | −4.97220e6 | − | 3.61251e6i | −0.655281 | − | 0.476089i | ||||
\(566\) | 7.24216e6 | − | 2.35312e6i | 0.950226 | − | 0.308747i | ||||
\(567\) | −1.15389e6 | − | 3.76880e6i | −0.150733 | − | 0.492317i | ||||
\(568\) | −5.34141e6 | + | 7.35181e6i | −0.694680 | + | 0.956145i | ||||
\(569\) | −1.85632e6 | + | 1.34870e6i | −0.240365 | + | 0.174636i | −0.701446 | − | 0.712723i | \(-0.747462\pi\) |
0.461081 | + | 0.887358i | \(0.347462\pi\) | |||||||
\(570\) | −2.91071e6 | + | 3.37873e6i | −0.375242 | + | 0.435579i | ||||
\(571\) | − | 6.81659e6i | − | 0.874938i | −0.899234 | − | 0.437469i | \(-0.855875\pi\) | ||
0.899234 | − | 0.437469i | \(-0.144125\pi\) | |||||||
\(572\) | −911668. | − | 938555.i | −0.116506 | − | 0.119942i | ||||
\(573\) | 3.91847e6 | − | 9.34713e6i | 0.498575 | − | 1.18930i | ||||
\(574\) | −2.80951e6 | − | 912866.i | −0.355919 | − | 0.115645i | ||||
\(575\) | 968279. | + | 1.33272e6i | 0.122132 | + | 0.168101i | ||||
\(576\) | −590505. | − | 3.94573e6i | −0.0741596 | − | 0.495532i | ||||
\(577\) | 57163.4 | + | 175931.i | 0.00714791 | + | 0.0219990i | 0.954567 | − | 0.297997i | \(-0.0963185\pi\) |
−0.947419 | + | 0.319996i | \(0.896318\pi\) | |||||||
\(578\) | −1.44321e6 | − | 4.44173e6i | −0.179684 | − | 0.553010i | ||||
\(579\) | 7.69261e6 | − | 4.66905e6i | 0.953624 | − | 0.578805i | ||||
\(580\) | −3.71962e6 | − | 5.11961e6i | −0.459122 | − | 0.631927i | ||||
\(581\) | 2.96895e6 | + | 964670.i | 0.364890 | + | 0.118560i | ||||
\(582\) | 5.95307e6 | + | 2.49562e6i | 0.728506 | + | 0.305402i | ||||
\(583\) | −1.14805e7 | − | 1.98975e6i | −1.39891 | − | 0.242453i | ||||
\(584\) | 1.27284e7i | 1.54434i | ||||||||
\(585\) | −1.44167e6 | + | 719152.i | −0.174171 | + | 0.0868822i | ||||
\(586\) | −1.10468e6 | + | 802594.i | −0.132890 | + | 0.0965499i | ||||
\(587\) | −9.41513e6 | + | 1.29588e7i | −1.12780 | + | 1.55228i | −0.335612 | + | 0.942000i | \(0.608943\pi\) |
−0.792185 | + | 0.610280i | \(0.791057\pi\) | |||||||
\(588\) | 336374. | − | 4.05307e6i | 0.0401216 | − | 0.483437i | ||||
\(589\) | −5.22611e6 | + | 1.69807e6i | −0.620713 | + | 0.201682i | ||||
\(590\) | 4.69762e6 | + | 3.41302e6i | 0.555582 | + | 0.403654i | ||||
\(591\) | 6.28603e6 | − | 1.48083e6i | 0.740300 | − | 0.174396i | ||||
\(592\) | 353287. | − | 1.08731e6i | 0.0414308 | − | 0.127511i | ||||
\(593\) | −1.03545e7 | −1.20918 | −0.604591 | − | 0.796536i | \(-0.706664\pi\) | ||||
−0.604591 | + | 0.796536i | \(0.706664\pi\) | |||||||
\(594\) | 2.50186e6 | + | 4.34477e6i | 0.290935 | + | 0.505243i | ||||
\(595\) | −176284. | −0.0204136 | ||||||||
\(596\) | 3.00648e6 | − | 9.25300e6i | 0.346691 | − | 1.06701i | ||||
\(597\) | 5.70215e6 | − | 1.34328e6i | 0.654791 | − | 0.154252i | ||||
\(598\) | 530012. | + | 385076.i | 0.0606084 | + | 0.0440346i | ||||
\(599\) | 2.36085e6 | − | 767086.i | 0.268844 | − | 0.0873528i | −0.171493 | − | 0.985185i | \(-0.554859\pi\) |
0.440337 | + | 0.897833i | \(0.354859\pi\) | |||||||
\(600\) | 289152. | − | 3.48408e6i | 0.0327905 | − | 0.395103i | ||||
\(601\) | 5.18786e6 | − | 7.14047e6i | 0.585871 | − | 0.806382i | −0.408453 | − | 0.912779i | \(-0.633932\pi\) |
0.994324 | + | 0.106398i | \(0.0339316\pi\) | |||||||
\(602\) | 608697. | − | 442244.i | 0.0684558 | − | 0.0497360i | ||||
\(603\) | 8.01477e6 | − | 3.99803e6i | 0.897631 | − | 0.447768i | ||||
\(604\) | 6.30105e6i | 0.702782i | ||||||||
\(605\) | 5.71221e6 | − | 3.90170e6i | 0.634476 | − | 0.433377i | ||||
\(606\) | −4.83213e6 | − | 2.02571e6i | −0.534511 | − | 0.224076i | ||||
\(607\) | −1.02006e6 | − | 331438.i | −0.112371 | − | 0.0365116i | 0.252292 | − | 0.967651i | \(-0.418816\pi\) |
−0.364663 | + | 0.931140i | \(0.618816\pi\) | |||||||
\(608\) | 7.03913e6 | + | 9.68853e6i | 0.772253 | + | 1.06292i | ||||
\(609\) | 6.20419e6 | − | 3.76565e6i | 0.677863 | − | 0.411430i | ||||
\(610\) | −762715. | − | 2.34740e6i | −0.0829923 | − | 0.255424i | ||||
\(611\) | −415064. | − | 1.27744e6i | −0.0449792 | − | 0.138432i | ||||
\(612\) | −46710.9 | − | 312121.i | −0.00504126 | − | 0.0336856i | ||||
\(613\) | 862160. | + | 1.18666e6i | 0.0926694 | + | 0.127549i | 0.852834 | − | 0.522182i | \(-0.174882\pi\) |
−0.760165 | + | 0.649730i | \(0.774882\pi\) | |||||||
\(614\) | −3.02008e6 | − | 981283.i | −0.323294 | − | 0.105045i | ||||
\(615\) | −3.47370e6 | + | 8.28618e6i | −0.370344 | + | 0.883418i | ||||
\(616\) | −666747. | − | 4.64560e6i | −0.0707961 | − | 0.493276i | ||||
\(617\) | 4.28685e6i | 0.453342i | 0.973971 | + | 0.226671i | \(0.0727842\pi\) | ||||
−0.973971 | + | 0.226671i | \(0.927216\pi\) | |||||||
\(618\) | 5.92866e6 | − | 6.88194e6i | 0.624432 | − | 0.724836i | ||||
\(619\) | 5.60756e6 | − | 4.07413e6i | 0.588230 | − | 0.427374i | −0.253452 | − | 0.967348i | \(-0.581566\pi\) |
0.841682 | + | 0.539974i | \(0.181566\pi\) | |||||||
\(620\) | −1.45106e6 | + | 1.99722e6i | −0.151603 | + | 0.208663i | ||||
\(621\) | 3.11826e6 | + | 3.74700e6i | 0.324476 | + | 0.389901i | ||||
\(622\) | −302540. | + | 98301.1i | −0.0313550 | + | 0.0101878i | ||||
\(623\) | −1.98970e6 | − | 1.44560e6i | −0.205385 | − | 0.149221i | ||||
\(624\) | 54124.0 | + | 229753.i | 0.00556453 | + | 0.0236211i | ||||
\(625\) | −1.27525e6 | + | 3.92481e6i | −0.130586 | + | 0.401901i | ||||
\(626\) | 3.40937e6 | 0.347727 | ||||||||
\(627\) | −1.06460e7 | − | 6.80233e6i | −1.08148 | − | 0.691018i | ||||
\(628\) | −2.08193e6 | −0.210653 | ||||||||
\(629\) | −221431. | + | 681496.i | −0.0223158 | + | 0.0686810i | ||||
\(630\) | −2.26631e6 | − | 378782.i | −0.227493 | − | 0.0380223i | ||||
\(631\) | 8.02071e6 | + | 5.82739e6i | 0.801936 | + | 0.582640i | 0.911481 | − | 0.411341i | \(-0.134940\pi\) |
−0.109546 | + | 0.993982i | \(0.534940\pi\) | |||||||
\(632\) | −1.70754e6 | + | 554814.i | −0.170051 | + | 0.0552528i | ||||
\(633\) | −8.07646e6 | − | 670285.i | −0.801146 | − | 0.0664890i | ||||
\(634\) | 4.63736e6 | − | 6.38277e6i | 0.458192 | − | 0.630647i | ||||
\(635\) | −965681. | + | 701609.i | −0.0950385 | + | 0.0690495i | ||||
\(636\) | 7.24300e6 | + | 6.23970e6i | 0.710029 | + | 0.611675i | ||||
\(637\) | − | 1.90653e6i | − | 0.186163i | ||||||
\(638\) | −6.62195e6 | + | 6.43225e6i | −0.644071 | + | 0.625620i | ||||
\(639\) | −8.98792e6 | + | 8.83596e6i | −0.870777 | + | 0.856055i | ||||
\(640\) | 5.53977e6 | + | 1.79998e6i | 0.534616 | + | 0.173707i | ||||
\(641\) | −1.02647e7 | − | 1.41282e7i | −0.986737 | − | 1.35813i | −0.933120 | − | 0.359565i | \(-0.882925\pi\) |
−0.0536166 | − | 0.998562i | \(-0.517075\pi\) | |||||||
\(642\) | 2.60035e6 | + | 4.28427e6i | 0.248997 | + | 0.410242i | ||||
\(643\) | 3.74542e6 | + | 1.15272e7i | 0.357250 | + | 1.09950i | 0.954693 | + | 0.297592i | \(0.0961834\pi\) |
−0.597443 | + | 0.801911i | \(0.703817\pi\) | |||||||
\(644\) | −560694. | − | 1.72564e6i | −0.0532735 | − | 0.163959i | ||||
\(645\) | −1.18735e6 | − | 1.95625e6i | −0.112378 | − | 0.185150i | ||||
\(646\) | −240712. | − | 331312.i | −0.0226943 | − | 0.0312360i | ||||
\(647\) | 255495. | + | 83015.3i | 0.0239950 | + | 0.00779646i | 0.320990 | − | 0.947083i | \(-0.395984\pi\) |
−0.296995 | + | 0.954879i | \(0.595984\pi\) | |||||||
\(648\) | 176396. | − | 1.03440e7i | 0.0165026 | − | 0.967725i | ||||
\(649\) | −7.68010e6 | + | 1.45466e7i | −0.715740 | + | 1.35565i | ||||
\(650\) | − | 651655.i | − | 0.0604971i | ||||||
\(651\) | −2.14504e6 | − | 1.84791e6i | −0.198373 | − | 0.170895i | ||||
\(652\) | −353697. | + | 256976.i | −0.0325846 | + | 0.0236741i | ||||
\(653\) | −2.78584e6 | + | 3.83438e6i | −0.255666 | + | 0.351895i | −0.917486 | − | 0.397769i | \(-0.869785\pi\) |
0.661819 | + | 0.749663i | \(0.269785\pi\) | |||||||
\(654\) | −1.12617e7 | − | 934638.i | −1.02958 | − | 0.0854475i | ||||
\(655\) | −893493. | + | 290313.i | −0.0813744 | + | 0.0264401i | ||||
\(656\) | 1.06497e6 | + | 773750.i | 0.0966228 | + | 0.0702006i | ||||
\(657\) | −2.91024e6 | + | 1.74124e7i | −0.263036 | + | 1.57378i | ||||
\(658\) | 591969. | − | 1.82189e6i | 0.0533009 | − | 0.164043i | ||||
\(659\) | −1.07295e7 | −0.962425 | −0.481212 | − | 0.876604i | \(-0.659803\pi\) | ||||
−0.481212 | + | 0.876604i | \(0.659803\pi\) | |||||||
\(660\) | −5.66564e6 | + | 338905.i | −0.506278 | + | 0.0302843i | ||||
\(661\) | −1.60341e6 | −0.142738 | −0.0713690 | − | 0.997450i | \(-0.522737\pi\) | ||||
−0.0713690 | + | 0.997450i | \(0.522737\pi\) | |||||||
\(662\) | −892574. | + | 2.74706e6i | −0.0791588 | + | 0.243626i | ||||
\(663\) | −33923.6 | − | 144003.i | −0.00299722 | − | 0.0127230i | ||||
\(664\) | 6.62898e6 | + | 4.81624e6i | 0.583481 | + | 0.423924i | ||||
\(665\) | 5.50665e6 | − | 1.78922e6i | 0.482873 | − | 0.156895i | ||||
\(666\) | −4.31107e6 | + | 8.28555e6i | −0.376617 | + | 0.723829i | ||||
\(667\) | −5.27599e6 | + | 7.26178e6i | −0.459187 | + | 0.632017i | ||||
\(668\) | −1.38734e6 | + | 1.00796e6i | −0.120293 | + | 0.0873983i | ||||
\(669\) | −1.10406e7 | + | 1.28159e7i | −0.953735 | + | 1.10709i | ||||
\(670\) | − | 5.22139e6i | − | 0.449365i | ||||||
\(671\) | 6.27555e6 | − | 3.08353e6i | 0.538078 | − | 0.264388i | ||||
\(672\) | −2.38555e6 | + | 5.69049e6i | −0.203782 | + | 0.486101i | ||||
\(673\) | 1.19036e7 | + | 3.86771e6i | 1.01307 | + | 0.329167i | 0.768077 | − | 0.640358i | \(-0.221214\pi\) |
0.244995 | + | 0.969524i | \(0.421214\pi\) | |||||||
\(674\) | −7.29415e6 | − | 1.00395e7i | −0.618479 | − | 0.851264i | ||||
\(675\) | 1.19216e6 | − | 4.70008e6i | 0.100711 | − | 0.397051i | ||||
\(676\) | −2.26802e6 | − | 6.98025e6i | −0.190889 | − | 0.587495i | ||||
\(677\) | −2.61432e6 | − | 8.04604e6i | −0.219223 | − | 0.674699i | −0.998827 | − | 0.0484262i | \(-0.984579\pi\) |
0.779604 | − | 0.626273i | \(-0.215421\pi\) | |||||||
\(678\) | 6.28867e6 | − | 3.81693e6i | 0.525394 | − | 0.318889i | ||||
\(679\) | −4.92606e6 | − | 6.78015e6i | −0.410039 | − | 0.564371i | ||||
\(680\) | −440059. | − | 142984.i | −0.0364955 | − | 0.0118581i | ||||
\(681\) | −1.41108e7 | − | 5.91550e6i | −1.16596 | − | 0.488791i | ||||
\(682\) | 3.18476e6 | + | 1.68145e6i | 0.262190 | + | 0.138427i | ||||
\(683\) | 1.53241e7i | 1.25697i | 0.777823 | + | 0.628484i | \(0.216324\pi\) | ||||
−0.777823 | + | 0.628484i | \(0.783676\pi\) | |||||||
\(684\) | 4.62704e6 | + | 9.27575e6i | 0.378149 | + | 0.758069i | ||||
\(685\) | 5.50140e6 | − | 3.99700e6i | 0.447968 | − | 0.325468i | ||||
\(686\) | 3.77304e6 | − | 5.19314e6i | 0.306112 | − | 0.421327i | ||||
\(687\) | 1.42566e6 | − | 1.71782e7i | 0.115245 | − | 1.38863i | ||||
\(688\) | −318865. | + | 103606.i | −0.0256824 | + | 0.00834472i | ||||
\(689\) | 3.62566e6 | + | 2.63420e6i | 0.290964 | + | 0.211398i | ||||
\(690\) | 2.76611e6 | − | 651626.i | 0.221181 | − | 0.0521046i | ||||
\(691\) | 586069. | − | 1.80374e6i | 0.0466932 | − | 0.143707i | −0.924992 | − | 0.379987i | \(-0.875928\pi\) |
0.971685 | + | 0.236280i | \(0.0759284\pi\) | |||||||
\(692\) | −1.54980e6 | −0.123030 | ||||||||
\(693\) | 150068. | − | 6.50758e6i | 0.0118701 | − | 0.514739i | ||||
\(694\) | −1.19253e7 | −0.939879 | ||||||||
\(695\) | 3.02252e6 | − | 9.30235e6i | 0.237360 | − | 0.730518i | ||||
\(696\) | 1.85419e7 | − | 4.36801e6i | 1.45088 | − | 0.341791i | ||||
\(697\) | −667499. | − | 484967.i | −0.0520438 | − | 0.0378120i | ||||
\(698\) | 8.38318e6 | − | 2.72386e6i | 0.651284 | − | 0.211615i | ||||
\(699\) | −1.45193e6 | + | 1.74947e7i | −0.112396 | + | 1.35430i | ||||
\(700\) | −1.06085e6 | + | 1.46013e6i | −0.0818290 | + | 0.112628i | ||||
\(701\) | 1.05589e7 | − | 7.67151e6i | 0.811568 | − | 0.589639i | −0.102717 | − | 0.994711i | \(-0.532754\pi\) |
0.914285 | + | 0.405072i | \(0.132754\pi\) | |||||||
\(702\) | −126702. | − | 1.92421e6i | −0.00970377 | − | 0.147370i | ||||
\(703\) | − | 2.35356e7i | − | 1.79613i | ||||||
\(704\) | 1.12518e6 | − | 6.49212e6i | 0.0855640 | − | 0.493691i | ||||
\(705\) | −5.37336e6 | − | 2.25260e6i | −0.407168 | − | 0.170692i | ||||
\(706\) | 8.48159e6 | + | 2.75584e6i | 0.640421 | + | 0.208085i | ||||
\(707\) | 3.99851e6 | + | 5.50347e6i | 0.300850 | + | 0.414084i | ||||
\(708\) | 1.15377e7 | − | 7.00285e6i | 0.865042 | − | 0.525039i | ||||
\(709\) | 1.69994e6 | + | 5.23188e6i | 0.127004 | + | 0.390879i | 0.994261 | − | 0.106982i | \(-0.0341188\pi\) |
−0.867257 | + | 0.497861i | \(0.834119\pi\) | |||||||
\(710\) | 2.27053e6 | + | 6.98798e6i | 0.169037 | + | 0.520243i | ||||
\(711\) | −2.46276e6 | + | 368567.i | −0.182704 | + | 0.0273428i | ||||
\(712\) | −3.79439e6 | − | 5.22253e6i | −0.280506 | − | 0.386083i | ||||
\(713\) | 3.33028e6 | + | 1.08207e6i | 0.245333 | + | 0.0797136i | ||||
\(714\) | 81577.0 | − | 194594.i | 0.00598856 | − | 0.0142851i | ||||
\(715\) | −2.63370e6 | + | 377995.i | −0.192664 | + | 0.0276516i | ||||
\(716\) | − | 1.42998e6i | − | 0.104243i | ||||||
\(717\) | −1.17600e7 | + | 1.36509e7i | −0.854299 | + | 0.991665i | ||||
\(718\) | −1.05358e7 | + | 7.65469e6i | −0.762703 | + | 0.554136i | ||||
\(719\) | 1.49201e7 | − | 2.05358e7i | 1.07634 | − | 1.48146i | 0.212855 | − | 0.977084i | \(-0.431724\pi\) |
0.863486 | − | 0.504373i | \(-0.168276\pi\) | |||||||
\(720\) | 908309. | + | 472604.i | 0.0652984 | + | 0.0339755i | ||||
\(721\) | −1.12162e7 | + | 3.64435e6i | −0.803538 | + | 0.261085i | ||||
\(722\) | 4.27522e6 | + | 3.10613e6i | 0.305222 | + | 0.221757i | ||||
\(723\) | 2.42401e6 | + | 1.02898e7i | 0.172460 | + | 0.732081i | ||||
\(724\) | −1.98134e6 | + | 6.09793e6i | −0.140479 | + | 0.432350i | ||||
\(725\) | 8.92843e6 | 0.630856 | ||||||||
\(726\) | 1.66359e6 | + | 8.11107e6i | 0.117140 | + | 0.571132i | ||||
\(727\) | 581464. | 0.0408025 | 0.0204012 | − | 0.999792i | \(-0.493506\pi\) | ||||
0.0204012 | + | 0.999792i | \(0.493506\pi\) | |||||||
\(728\) | −557818. | + | 1.71679e6i | −0.0390089 | + | 0.120057i | ||||
\(729\) | 2.60637e6 | − | 1.41102e7i | 0.181643 | − | 0.983365i | ||||
\(730\) | 8.32609e6 | + | 6.04926e6i | 0.578274 | + | 0.420141i | ||||
\(731\) | 199857. | − | 64937.4i | 0.0138333 | − | 0.00449470i | ||||
\(732\) | −5.71734e6 | − | 474496.i | −0.394382 | − | 0.0327307i | ||||
\(733\) | −505342. | + | 695544.i | −0.0347397 | + | 0.0478151i | −0.826034 | − | 0.563621i | \(-0.809408\pi\) |
0.791294 | + | 0.611436i | \(0.209408\pi\) | |||||||
\(734\) | −1.06262e7 | + | 7.72037e6i | −0.728010 | + | 0.528930i | ||||
\(735\) | −6.26571e6 | − | 5.39778e6i | −0.427811 | − | 0.368551i | ||||
\(736\) | − | 7.63136e6i | − | 0.519287i | ||||||
\(737\) | 1.46417e7 | − | 2.10141e6i | 0.992940 | − | 0.142509i | ||||
\(738\) | −7.53936e6 | − | 7.66902e6i | −0.509558 | − | 0.518321i | ||||
\(739\) | 2.47301e7 | + | 8.03530e6i | 1.66577 | + | 0.541241i | 0.982069 | − | 0.188521i | \(-0.0603695\pi\) |
0.683700 | + | 0.729763i | \(0.260369\pi\) | |||||||
\(740\) | −6.21498e6 | − | 8.55419e6i | −0.417216 | − | 0.574248i | ||||
\(741\) | 2.52127e6 | + | 4.15399e6i | 0.168684 | + | 0.277920i | ||||
\(742\) | 1.97513e6 | + | 6.07884e6i | 0.131700 | + | 0.405332i | ||||
\(743\) | 2.14598e6 | + | 6.60464e6i | 0.142611 | + | 0.438912i | 0.996696 | − | 0.0812217i | \(-0.0258822\pi\) |
−0.854085 | + | 0.520134i | \(0.825882\pi\) | |||||||
\(744\) | −3.85586e6 | − | 6.35281e6i | −0.255381 | − | 0.420759i | ||||
\(745\) | −1.16288e7 | − | 1.60056e7i | −0.767614 | − | 1.05653i | ||||
\(746\) | 6.63241e6 | + | 2.15500e6i | 0.436339 | + | 0.141775i | ||||
\(747\) | 7.96721e6 | + | 8.10423e6i | 0.522402 | + | 0.531386i | ||||
\(748\) | 89005.6 | − | 513548.i | 0.00581652 | − | 0.0335604i | ||||
\(749\) | − | 6.50679e6i | − | 0.423801i | ||||||
\(750\) | −7.36992e6 | − | 6.34904e6i | −0.478420 | − | 0.412150i | ||||
\(751\) | −1.22373e7 | + | 8.89089e6i | −0.791743 | + | 0.575235i | −0.908480 | − | 0.417928i | \(-0.862756\pi\) |
0.116737 | + | 0.993163i | \(0.462756\pi\) | |||||||
\(752\) | −501756. | + | 690608.i | −0.0323555 | + | 0.0445335i | ||||
\(753\) | 5.49914e6 | + | 456387.i | 0.353433 | + | 0.0293323i | ||||
\(754\) | 3.37698e6 | − | 1.09725e6i | 0.216322 | − | 0.0702871i | ||||
\(755\) | 1.03660e7 | + | 7.53131e6i | 0.661823 | + | 0.480843i | ||||
\(756\) | −2.84857e6 | + | 4.51773e6i | −0.181269 | + | 0.287485i | ||||
\(757\) | 3.88222e6 | − | 1.19482e7i | 0.246230 | − | 0.757817i | −0.749202 | − | 0.662341i | \(-0.769563\pi\) |
0.995432 | − | 0.0954755i | \(-0.0304372\pi\) | |||||||
\(758\) | −3.24399e6 | −0.205072 | ||||||||
\(759\) | 2.94053e6 | + | 7.49441e6i | 0.185277 | + | 0.472208i | ||||
\(760\) | 1.51976e7 | 0.954420 | ||||||||
\(761\) | 1.67326e6 | − | 5.14975e6i | 0.104737 | − | 0.322348i | −0.884932 | − | 0.465721i | \(-0.845795\pi\) |
0.989669 | + | 0.143373i | \(0.0457950\pi\) | |||||||
\(762\) | −327605. | − | 1.39066e6i | −0.0204392 | − | 0.0867629i | ||||
\(763\) | 1.18697e7 | + | 8.62381e6i | 0.738119 | + | 0.536275i | ||||
\(764\) | −1.30613e7 | + | 4.24389e6i | −0.809570 | + | 0.263045i | ||||
\(765\) | −569305. | − | 296216.i | −0.0351716 | − | 0.0183002i | ||||
\(766\) | −7.92773e6 | + | 1.09116e7i | −0.488177 | + | 0.671918i | ||||
\(767\) | 5.11861e6 | − | 3.71889e6i | 0.314169 | − | 0.228257i | ||||
\(768\) | −9.89601e6 | + | 1.14872e7i | −0.605420 | + | 0.702768i | ||||
\(769\) | − | 3.15124e7i | − | 1.92161i | −0.277221 | − | 0.960806i | \(-0.589413\pi\) | ||
0.277221 | − | 0.960806i | \(-0.410587\pi\) | |||||||
\(770\) | −3.35572e6 | − | 1.77170e6i | −0.203966 | − | 0.107687i | ||||
\(771\) | −8.71251e6 | + | 2.07828e7i | −0.527846 | + | 1.25913i | ||||
\(772\) | −1.15967e7 | − | 3.76798e6i | −0.700309 | − | 0.227544i | ||||
\(773\) | −852392. | − | 1.17322e6i | −0.0513087 | − | 0.0706203i | 0.782592 | − | 0.622535i | \(-0.213897\pi\) |
−0.833900 | + | 0.551915i | \(0.813897\pi\) | |||||||
\(774\) | 2.70890e6 | − | 405404.i | 0.162533 | − | 0.0243241i | ||||
\(775\) | −1.07633e6 | − | 3.31261e6i | −0.0643712 | − | 0.198114i | ||||
\(776\) | −6.79762e6 | − | 2.09209e7i | −0.405231 | − | 1.24717i | ||||
\(777\) | 1.03664e7 | − | 6.29189e6i | 0.615990 | − | 0.373877i | ||||
\(778\) | 465401. | + | 640569.i | 0.0275663 | + | 0.0379417i | ||||
\(779\) | 2.57732e7 | + | 8.37423e6i | 1.52169 | + | 0.494426i | ||||
\(780\) | 2.01330e6 | + | 844011.i | 0.118488 | + | 0.0496720i | ||||
\(781\) | −1.86817e7 | + | 9.17938e6i | −1.09595 | + | 0.538500i | ||||
\(782\) | 260964.i | 0.0152603i | ||||||||
\(783\) | 2.63639e7 | − | 1.73596e6i | 1.53676 | − | 0.101190i | ||||
\(784\) | −980261. | + | 712202.i | −0.0569576 | + | 0.0413821i | ||||
\(785\) | −2.48842e6 | + | 3.42502e6i | −0.144129 | + | 0.198376i | ||||
\(786\) | 93004.9 | − | 1.12064e6i | 0.00536969 | − | 0.0647010i | ||||
\(787\) | 7.44905e6 | − | 2.42034e6i | 0.428710 | − | 0.139296i | −0.0867107 | − | 0.996234i | \(-0.527636\pi\) |
0.515421 | + | 0.856937i | \(0.327636\pi\) | |||||||
\(788\) | −7.07962e6 | − | 5.14364e6i | −0.406157 | − | 0.295091i | ||||
\(789\) | −967426. | + | 227901.i | −0.0553255 | + | 0.0130333i | ||||
\(790\) | −448597. | + | 1.38064e6i | −0.0255734 | + | 0.0787068i | ||||
\(791\) | −9.55100e6 | −0.542760 | ||||||||
\(792\) | 5.65293e6 | − | 1.61233e7i | 0.320229 | − | 0.913355i | ||||
\(793\) | −2.68939e6 | −0.151870 | ||||||||
\(794\) | −179511. | + | 552477.i | −0.0101051 | + | 0.0311002i | ||||
\(795\) | 1.89222e7 | − | 4.45759e6i | 1.06183 | − | 0.250140i | ||||
\(796\) | −6.42202e6 | − | 4.66587e6i | −0.359244 | − | 0.261006i | ||||
\(797\) | −2.30052e7 | + | 7.47483e6i | −1.28286 | + | 0.416827i | −0.869587 | − | 0.493780i | \(-0.835615\pi\) |
−0.413274 | + | 0.910607i | \(0.635615\pi\) | |||||||
\(798\) | −573195. | + | 6.90659e6i | −0.0318636 | + | 0.383934i | ||||
\(799\) | 314488. | − | 432856.i | 0.0174276 | − | 0.0239870i | ||||
\(800\) | −6.14114e6 | + | 4.46180e6i | −0.339253 | + | 0.246482i | ||||
\(801\) | −3.99661e6 | − | 8.01194e6i | −0.220095 | − | 0.441221i | ||||
\(802\) | 2.70153e6i | 0.148311i | ||||||||
\(803\) | −1.36123e7 | + | 2.57824e7i | −0.744974 | + | 1.41103i | ||||
\(804\) | −1.11927e7 | − | 4.69217e6i | −0.610653 | − | 0.255996i | ||||
\(805\) | −3.50904e6 | − | 1.14016e6i | −0.190853 | − | 0.0620119i | ||||
\(806\) | −814196. | − | 1.12064e6i | −0.0441460 | − | 0.0607617i | ||||
\(807\) | −1.16542e7 | + | 7.07355e6i | −0.629940 | + | 0.382344i | ||||
\(808\) | 5.51765e6 | + | 1.69816e7i | 0.297321 | + | 0.915061i | ||||
\(809\) | 246139. | + | 757538.i | 0.0132224 | + | 0.0406943i | 0.957450 | − | 0.288599i | \(-0.0931895\pi\) |
−0.944228 | + | 0.329293i | \(0.893189\pi\) | |||||||
\(810\) | −6.68254e6 | − | 5.03144e6i | −0.357873 | − | 0.269451i | ||||
\(811\) | −1.66974e7 | − | 2.29821e7i | −0.891452 | − | 1.22698i | −0.973115 | − | 0.230318i | \(-0.926023\pi\) |
0.0816639 | − | 0.996660i | \(-0.473977\pi\) | |||||||
\(812\) | −9.35284e6 | − | 3.03892e6i | −0.497799 | − | 0.161745i | ||||
\(813\) | −5.83554e6 | + | 1.39201e7i | −0.309638 | + | 0.738612i | ||||
\(814\) | −1.10644e7 | + | 1.07474e7i | −0.585284 | + | 0.568517i | ||||
\(815\) | 889022.i | 0.0468834i | ||||||||
\(816\) | −61368.4 | + | 71236.0i | −0.00322641 | + | 0.00374519i | ||||
\(817\) | −5.58392e6 | + | 4.05695e6i | −0.292674 | + | 0.212640i | ||||
\(818\) | −6.88603e6 | + | 9.47781e6i | −0.359820 | + | 0.495250i | ||||
\(819\) | −1.15562e6 | + | 2.22101e6i | −0.0602011 | + | 0.115702i | ||||
\(820\) | 1.15788e7 | − | 3.76218e6i | 0.601353 | − | 0.195391i | ||||
\(821\) | −1.58590e6 | − | 1.15223e6i | −0.0821142 | − | 0.0596595i | 0.545971 | − | 0.837804i | \(-0.316161\pi\) |
−0.628085 | + | 0.778145i | \(0.716161\pi\) | |||||||
\(822\) | 1.86633e6 | + | 7.92247e6i | 0.0963407 | + | 0.408960i | ||||
\(823\) | −1.86126e6 | + | 5.72838e6i | −0.0957873 | + | 0.294803i | −0.987458 | − | 0.157881i | \(-0.949534\pi\) |
0.891671 | + | 0.452685i | \(0.149534\pi\) | |||||||
\(824\) | −3.09550e7 | −1.58823 | ||||||||
\(825\) | 4.31171e6 | − | 6.74805e6i | 0.220554 | − | 0.345178i | ||||
\(826\) | 9.02357e6 | 0.460180 | ||||||||
\(827\) | 4.67871e6 | − | 1.43996e7i | 0.237882 | − | 0.732127i | −0.758844 | − | 0.651273i | \(-0.774235\pi\) |
0.996726 | − | 0.0808538i | \(-0.0257647\pi\) | |||||||
\(828\) | 1.08891e6 | − | 6.51509e6i | 0.0551968 | − | 0.330251i | ||||
\(829\) | 2.17205e7 | + | 1.57809e7i | 1.09770 | + | 0.797526i | 0.980683 | − | 0.195604i | \(-0.0626668\pi\) |
0.117017 | + | 0.993130i | \(0.462667\pi\) | |||||||
\(830\) | 6.30093e6 | − | 2.04730e6i | 0.317475 | − | 0.103154i | ||||
\(831\) | 655015. | + | 54361.2i | 0.0329040 | + | 0.00273078i | ||||
\(832\) | −1.48961e6 | + | 2.05027e6i | −0.0746044 | + | 0.102684i | ||||
\(833\) | 614403. | − | 446390.i | 0.0306790 | − | 0.0222896i | ||||
\(834\) | 8.86987e6 | + | 7.64122e6i | 0.441573 | + | 0.380406i | ||||
\(835\) | 3.48710e6i | 0.173080i | ||||||||
\(836\) | 2.43203e6 | + | 1.69453e7i | 0.120352 | + | 0.838559i | ||||
\(837\) | −3.82227e6 | − | 9.57220e6i | −0.188585 | − | 0.472279i | ||||
\(838\) | 278711. | + | 90558.6i | 0.0137102 | + | 0.00445471i | ||||
\(839\) | 389100. | + | 535550.i | 0.0190834 | + | 0.0262661i | 0.818452 | − | 0.574575i | \(-0.194833\pi\) |
−0.799369 | + | 0.600841i | \(0.794833\pi\) | |||||||
\(840\) | 4.06283e6 | + | 6.69383e6i | 0.198669 | + | 0.327323i | ||||
\(841\) | 8.69526e6 | + | 2.67613e7i | 0.423928 | + | 1.30472i | ||||
\(842\) | −1.51408e6 | − | 4.65987e6i | −0.0735986 | − | 0.226513i | ||||
\(843\) | −1.16334e7 | − | 1.91670e7i | −0.563818 | − | 0.928933i | ||||
\(844\) | 6.45472e6 | + | 8.88416e6i | 0.311904 | + | 0.429299i | ||||
\(845\) | −1.41942e7 | − | 4.61196e6i | −0.683861 | − | 0.222200i | ||||
\(846\) | 4.97315e6 | − | 4.88907e6i | 0.238894 | − | 0.234855i | ||||
\(847\) | 3.61763e6 | − | 1.01231e7i | 0.173267 | − | 0.484846i | ||||
\(848\) | − | 2.84820e6i | − | 0.136013i | ||||||
\(849\) | −2.72686e7 | − | 2.34913e7i | −1.29835 | − | 1.11851i | ||||
\(850\) | 210004. | − | 152577.i | 0.00996967 | − | 0.00724339i | ||||
\(851\) | −8.81548e6 | + | 1.21335e7i | −0.417275 | + | 0.574329i | ||||
\(852\) | 1.70200e7 | + | 1.41253e6i | 0.803269 | + | 0.0666652i | ||||
\(853\) | 6.29537e6 | − | 2.04549e6i | 0.296243 | − | 0.0962553i | −0.157124 | − | 0.987579i | \(-0.550222\pi\) |
0.453368 | + | 0.891323i | \(0.350222\pi\) | |||||||
\(854\) | −3.10310e6 | − | 2.25453e6i | −0.145596 | − | 0.105782i | ||||
\(855\) | 2.07901e7 | + | 3.47478e6i | 0.972617 | + | 0.162559i | ||||
\(856\) | 5.27767e6 | − | 1.62430e7i | 0.246183 | − | 0.757673i | ||||
\(857\) | 3.82449e7 | 1.77878 | 0.889388 | − | 0.457153i | \(-0.151131\pi\) | ||||
0.889388 | + | 0.457153i | \(0.151131\pi\) | |||||||
\(858\) | 801514. | − | 3.08218e6i | 0.0371700 | − | 0.142935i | ||||
\(859\) | −3.17125e6 | −0.146638 | −0.0733191 | − | 0.997309i | \(-0.523359\pi\) | ||||
−0.0733191 | + | 0.997309i | \(0.523359\pi\) | |||||||
\(860\) | −958206. | + | 2.94906e6i | −0.0441787 | + | 0.135968i | ||||
\(861\) | 3.20161e6 | + | 1.35906e7i | 0.147184 | + | 0.624787i | ||||
\(862\) | −1.91060e7 | − | 1.38814e7i | −0.875795 | − | 0.636303i | ||||
\(863\) | −2.31052e6 | + | 750733.i | −0.105605 | + | 0.0343130i | −0.361343 | − | 0.932433i | \(-0.617682\pi\) |
0.255738 | + | 0.966746i | \(0.417682\pi\) | |||||||
\(864\) | −1.72661e7 | + | 1.43688e7i | −0.786881 | + | 0.654843i | ||||
\(865\) | −1.85239e6 | + | 2.54959e6i | −0.0841767 | + | 0.115859i | ||||
\(866\) | −3.85070e6 | + | 2.79770e6i | −0.174480 | + | 0.126767i | ||||
\(867\) | −1.44076e7 | + | 1.67243e7i | −0.650946 | + | 0.755613i | ||||
\(868\) | 3.83642e6i | 0.172833i | ||||||||
\(869\) | −4.05210e6 | − | 702290.i | −0.182025 | − | 0.0315476i | ||||
\(870\) | 5.95489e6 | − | 1.42048e7i | 0.266732 | − | 0.636264i | ||||
\(871\) | −5.41086e6 | − | 1.75810e6i | −0.241669 | − | 0.0785230i | ||||
\(872\) | 2.26356e7 | + | 3.11552e7i | 1.00809 | + | 1.38752i | ||||
\(873\) | −4.51571e6 | − | 3.01738e7i | −0.200535 | − | 1.33997i | ||||
\(874\) | −2.64870e6 | − | 8.15185e6i | −0.117288 | − | 0.360975i | ||||
\(875\) | 3.90276e6 | + | 1.20115e7i | 0.172327 | + | 0.530366i | ||||
\(876\) | 2.04495e7 | − | 1.24119e7i | 0.900374 | − | 0.546484i | ||||
\(877\) | 1.94459e6 | + | 2.67651e6i | 0.0853749 | + | 0.117508i | 0.849568 | − | 0.527479i | \(-0.176863\pi\) |
−0.764193 | + | 0.644987i | \(0.776863\pi\) | |||||||
\(878\) | 1.01573e7 | + | 3.30030e6i | 0.444673 | + | 0.144483i | ||||
\(879\) | 5.95203e6 | + | 2.49519e6i | 0.259832 | + | 0.108926i | ||||
\(880\) | 1.17819e6 | + | 1.21294e6i | 0.0512873 | + | 0.0527999i | ||||
\(881\) | − | 1.01845e7i | − | 0.442081i | −0.975265 | − | 0.221040i | \(-0.929055\pi\) | ||
0.975265 | − | 0.221040i | \(-0.0709453\pi\) | |||||||
\(882\) | 8.85796e6 | − | 4.41864e6i | 0.383409 | − | 0.191257i | ||||
\(883\) | −180997. | + | 131502.i | −0.00781215 | + | 0.00567586i | −0.591684 | − | 0.806170i | \(-0.701537\pi\) |
0.583872 | + | 0.811845i | \(0.301537\pi\) | |||||||
\(884\) | −117833. | + | 162183.i | −0.00507150 | + | 0.00698032i | ||||
\(885\) | 2.26993e6 | − | 2.73510e7i | 0.0974212 | − | 1.17386i | ||||
\(886\) | 1.54128e7 | − | 5.00793e6i | 0.659626 | − | 0.214325i | ||||
\(887\) | −8.18751e6 | − | 5.94858e6i | −0.349416 | − | 0.253866i | 0.399208 | − | 0.916860i | \(-0.369285\pi\) |
−0.748624 | + | 0.662995i | \(0.769285\pi\) | |||||||
\(888\) | 3.09811e7 | − | 7.29836e6i | 1.31845 | − | 0.310594i | ||||
\(889\) | −573214. | + | 1.76417e6i | −0.0243255 | + | 0.0748663i | ||||
\(890\) | −5.21954e6 | −0.220880 | ||||||||
\(891\) | 1.14196e7 | − | 2.07640e7i | 0.481899 | − | 0.876227i | ||||
\(892\) | 2.29212e7 | 0.964551 | ||||||||
\(893\) | −5.43046e6 | + | 1.67132e7i | −0.227881 | + | 0.701345i | ||||
\(894\) | 2.30494e7 | − | 5.42986e6i | 0.964531 | − | 0.227219i | ||||
\(895\) | −2.35248e6 | − | 1.70918e6i | −0.0981678 | − | 0.0713231i | ||||
\(896\) | 8.60894e6 | − | 2.79721e6i | 0.358245 | − | 0.116401i | ||||
\(897\) | 256106. | − | 3.08590e6i | 0.0106277 | − | 0.128056i | ||||
\(898\) | 1.16759e7 | − | 1.60705e7i | 0.483169 | − | 0.665026i | ||||
\(899\) | 1.53541e7 | − | 1.11554e7i | 0.633616 | − | 0.460349i | ||||
\(900\) | −5.87950e6 | + | 2.93288e6i | −0.241955 | + | 0.120695i | ||||
\(901\) | 1.78518e6i | 0.0732607i | ||||||||
\(902\) | −7.83238e6 | − | 1.59404e7i | −0.320537 | − | 0.652351i | ||||
\(903\) | −3.27968e6 | − | 1.37490e6i | −0.133848 | − | 0.0561113i | ||||
\(904\) | −2.38423e7 | − | 7.74683e6i | −0.970347 | − | 0.315285i | ||||
\(905\) | 7.66361e6 | + | 1.05481e7i | 0.311037 | + | 0.428106i | ||||
\(906\) | −1.31105e7 | + | 7.95746e6i | −0.530639 | + | 0.322073i | ||||
\(907\) | −2.78064e6 | − | 8.55792e6i | −0.112234 | − | 0.345422i | 0.879126 | − | 0.476590i | \(-0.158127\pi\) |
−0.991360 | + | 0.131168i | \(0.958127\pi\) | |||||||
\(908\) | 6.40676e6 | + | 1.97180e7i | 0.257884 | + | 0.793685i | ||||
\(909\) | 3.66542e6 | + | 2.44922e7i | 0.147134 | + | 0.983148i | ||||
\(910\) | 857901. | + | 1.18080e6i | 0.0343426 | + | 0.0472686i | ||||
\(911\) | −1.46919e7 | − | 4.77369e6i | −0.586519 | − | 0.190572i | 0.000699740 | − | 1.00000i | \(-0.499777\pi\) |
−0.587219 | + | 0.809428i | \(0.699777\pi\) | |||||||
\(912\) | 1.19397e6 | − | 2.84810e6i | 0.0475342 | − | 0.113388i | ||||
\(913\) | 8.27686e6 | + | 1.68450e7i | 0.328616 | + | 0.668795i | ||||
\(914\) | − | 9.55188e6i | − | 0.378201i | ||||||
\(915\) | −7.61424e6 | + | 8.83855e6i | −0.300659 | + | 0.349002i | ||||
\(916\) | −1.88961e7 | + | 1.37288e7i | −0.744104 | + | 0.540623i | ||||
\(917\) | −858146. | + | 1.18114e6i | −0.0337006 | + | 0.0463849i | ||||
\(918\) | 590435. | − | 491361.i | 0.0231241 | − | 0.0192439i | ||||
\(919\) | 2.08680e7 | − | 6.78041e6i | 0.815063 | − | 0.264830i | 0.128322 | − | 0.991733i | \(-0.459041\pi\) |
0.686741 | + | 0.726903i | \(0.259041\pi\) | |||||||
\(920\) | −7.83489e6 | − | 5.69238e6i | −0.305185 | − | 0.221730i | ||||
\(921\) | 3.44157e6 | + | 1.46092e7i | 0.133693 | + | 0.567516i | ||||
\(922\) | 7.52906e6 | − | 2.31721e7i | 0.291685 | − | 0.897713i | ||||
\(923\) | 8.00607e6 | 0.309325 | ||||||||
\(924\) | −6.81346e6 | + | 5.60126e6i | −0.262535 | + | 0.215827i | ||||
\(925\) | 1.49182e7 | 0.573275 | ||||||||
\(926\) | −549778. | + | 1.69204e6i | −0.0210698 | + | 0.0648461i | ||||
\(927\) | −4.23462e7 | − | 7.07757e6i | −1.61851 | − | 0.270511i | ||||
\(928\) | −3.34621e7 | − | 2.43116e7i | −1.27551 | − | 0.926710i | ||||
\(929\) | −8.01236e6 | + | 2.60337e6i | −0.304594 | + | 0.0989686i | −0.457326 | − | 0.889299i | \(-0.651193\pi\) |
0.152732 | + | 0.988268i | \(0.451193\pi\) | |||||||
\(930\) | −5.98811e6 | − | 496967.i | −0.227029 | − | 0.0188417i | ||||
\(931\) | −1.46617e7 | + | 2.01801e7i | −0.554382 | + | 0.763042i | ||||
\(932\) | 1.92443e7 | − | 1.39818e7i | 0.725709 | − | 0.527258i | ||||
\(933\) | 1.13914e6 | + | 981347.i | 0.0428423 | + | 0.0369078i | ||||
\(934\) | 1.21954e7i | 0.457435i | ||||||||
\(935\) | −738462. | − | 760241.i | −0.0276248 | − | 0.0284395i | ||||
\(936\) | −4.68625e6 | + | 4.60701e6i | −0.174838 | + | 0.171882i | ||||
\(937\) | −6.86515e6 | − | 2.23062e6i | −0.255447 | − | 0.0829999i | 0.178494 | − | 0.983941i | \(-0.442877\pi\) |
−0.433941 | + | 0.900941i | \(0.642877\pi\) | |||||||
\(938\) | −4.76939e6 | − | 6.56450e6i | −0.176993 | − | 0.243610i | ||||
\(939\) | −8.36118e6 | − | 1.37757e7i | −0.309459 | − | 0.509858i | ||||
\(940\) | 2.43968e6 | + | 7.50855e6i | 0.0900560 | + | 0.277164i | ||||
\(941\) | −3.73981e6 | − | 1.15100e7i | −0.137682 | − | 0.423740i | 0.858316 | − | 0.513122i | \(-0.171511\pi\) |
−0.995997 | + | 0.0893812i | \(0.971511\pi\) | |||||||
\(942\) | −2.62923e6 | − | 4.33186e6i | −0.0965387 | − | 0.159055i | ||||
\(943\) | −1.01504e7 | − | 1.39708e7i | −0.371709 | − | 0.511614i | ||||
\(944\) | −3.82421e6 | − | 1.24256e6i | −0.139673 | − | 0.0453824i | ||||
\(945\) | 4.02744e6 | + | 1.00860e7i | 0.146707 | + | 0.367401i | ||||
\(946\) | 4.45709e6 | + | 772481.i | 0.161929 | + | 0.0280647i | ||||
\(947\) | 7.36866e6i | 0.267001i | 0.991049 | + | 0.133501i | \(0.0426219\pi\) | ||||
−0.991049 | + | 0.133501i | \(0.957378\pi\) | |||||||
\(948\) | 2.55644e6 | + | 2.20232e6i | 0.0923879 | + | 0.0795903i | ||||
\(949\) | 9.07225e6 | − | 6.59137e6i | 0.327001 | − | 0.237580i | ||||
\(950\) | −5.01139e6 | + | 6.89759e6i | −0.180156 | + | 0.247964i | ||||
\(951\) | −3.71625e7 | − | 3.08420e6i | −1.33246 | − | 0.110584i | ||||
\(952\) | −683863. | + | 222200.i | −0.0244555 | + | 0.00794607i | ||||
\(953\) | −9.20112e6 | − | 6.68500e6i | −0.328177 | − | 0.238435i | 0.411480 | − | 0.911419i | \(-0.365012\pi\) |
−0.739657 | + | 0.672984i | \(0.765012\pi\) | |||||||
\(954\) | −3.83584e6 | + | 2.29504e7i | −0.136455 | + | 0.816431i | ||||
\(955\) | −8.62984e6 | + | 2.65599e7i | −0.306192 | + | 0.942363i | ||||
\(956\) | 2.44148e7 | 0.863988 | ||||||||
\(957\) | 4.22294e7 | + | 1.09817e7i | 1.49051 | + | 0.387604i | ||||
\(958\) | −5.23503e6 | −0.184292 | ||||||||
\(959\) | 3.26555e6 | − | 1.00503e7i | 0.114659 | − | 0.352885i | ||||
\(960\) | 2.52072e6 | + | 1.07003e7i | 0.0882768 | + | 0.374729i | ||||
\(961\) | 1.71716e7 | + | 1.24759e7i | 0.599796 | + | 0.435777i | ||||
\(962\) | 5.64248e6 | − | 1.83335e6i | 0.196577 | − | 0.0638716i | ||||
\(963\) | 1.09336e7 | − | 2.10136e7i | 0.379925 | − | 0.730188i | ||||
\(964\) | 8.41975e6 | − | 1.15888e7i | 0.291814 | − | 0.401648i | ||||
\(965\) | −2.00596e7 | + | 1.45742e7i | −0.693433 | + | 0.503808i | ||||
\(966\) | 2.88243e6 | − | 3.34590e6i | 0.0993838 | − | 0.115364i | ||||
\(967\) | 3.60841e7i | 1.24094i | 0.784231 | + | 0.620469i | \(0.213058\pi\) | ||||
−0.784231 | + | 0.620469i | \(0.786942\pi\) | |||||||
\(968\) | 1.72416e7 | − | 2.23361e7i | 0.591409 | − | 0.766159i | ||||
\(969\) | −748351. | + | 1.78512e6i | −0.0256033 | + | 0.0610741i | ||||
\(970\) | −1.69157e7 | − | 5.49624e6i | −0.577245 | − | 0.187558i | ||||
\(971\) | −1.65962e7 | − | 2.28427e7i | −0.564885 | − | 0.777497i | 0.427053 | − | 0.904227i | \(-0.359552\pi\) |
−0.991937 | + | 0.126730i | \(0.959552\pi\) | |||||||
\(972\) | −1.67907e7 | + | 9.80338e6i | −0.570039 | + | 0.332821i | ||||
\(973\) | −4.69707e6 | − | 1.44561e7i | −0.159054 | − | 0.489518i | ||||
\(974\) | 5.25333e6 | + | 1.61681e7i | 0.177434 | + | 0.546086i | ||||
\(975\) | −2.63303e6 | + | 1.59813e6i | −0.0887043 | + | 0.0538393i | ||||
\(976\) | 1.00465e6 | + | 1.38278e6i | 0.0337590 | + | 0.0464652i | ||||
\(977\) | −1.75763e7 | − | 5.71087e6i | −0.589101 | − | 0.191411i | −0.000727619 | − | 1.00000i | \(-0.500232\pi\) |
−0.588374 | + | 0.808589i | \(0.700232\pi\) | |||||||
\(978\) | −981364. | − | 411404.i | −0.0328082 | − | 0.0137538i | ||||
\(979\) | −2.10067e6 | − | 1.46365e7i | −0.0700488 | − | 0.488069i | ||||
\(980\) | 1.12062e7i | 0.372731i | ||||||||
\(981\) | 2.38420e7 | + | 4.77955e7i | 0.790987 | + | 1.58568i | ||||
\(982\) | −1.02955e6 | + | 748010.i | −0.0340697 | + | 0.0247531i | ||||
\(983\) | 1.57361e7 | − | 2.16588e7i | 0.519412 | − | 0.714909i | −0.466059 | − | 0.884754i | \(-0.654327\pi\) |
0.985471 | + | 0.169844i | \(0.0543265\pi\) | |||||||
\(984\) | −3.03116e6 | + | 3.65233e7i | −0.0997979 | + | 1.20249i | ||||
\(985\) | −1.69238e7 | + | 5.49887e6i | −0.555785 | + | 0.180585i | ||||
\(986\) | 1.14428e6 | + | 831368.i | 0.0374835 | + | 0.0272333i | ||||
\(987\) | −8.81317e6 | + | 2.07616e6i | −0.287965 | + | 0.0678372i | ||||
\(988\) | 2.03470e6 | − | 6.26216e6i | 0.0663143 | − | 0.204095i | ||||
\(989\) | 4.39828e6 | 0.142986 | ||||||||
\(990\) | −7.86017e6 | − | 1.13604e7i | −0.254885 | − | 0.368389i | ||||
\(991\) | 1.37791e7 | 0.445695 | 0.222847 | − | 0.974853i | \(-0.428465\pi\) | ||||
0.222847 | + | 0.974853i | \(0.428465\pi\) | |||||||
\(992\) | −4.98616e6 | + | 1.53458e7i | −0.160874 | + | 0.495120i | ||||
\(993\) | 1.32885e7 | − | 3.13044e6i | 0.427665 | − | 0.100747i | ||||
\(994\) | 9.23764e6 | + | 6.71154e6i | 0.296548 | + | 0.215455i | ||||
\(995\) | −1.53518e7 | + | 4.98810e6i | −0.491588 | + | 0.159727i | ||||
\(996\) | 1.27365e6 | − | 1.53466e7i | 0.0406820 | − | 0.490190i | ||||
\(997\) | −1.52922e7 | + | 2.10479e7i | −0.487229 | + | 0.670613i | −0.979874 | − | 0.199617i | \(-0.936030\pi\) |
0.492645 | + | 0.870230i | \(0.336030\pi\) | |||||||
\(998\) | −2.40869e6 | + | 1.75002e6i | −0.0765516 | + | 0.0556180i | ||||
\(999\) | 4.40505e7 | − | 2.90056e6i | 1.39649 | − | 0.0919536i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 33.6.f.a.2.11 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.8 | ✓ | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.8 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.11 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.8 | ✓ | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.2.11 | yes | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.17.8 | yes | 72 | 11.6 | odd | 10 | inner | |
33.6.f.a.17.11 | yes | 72 | 33.17 | even | 10 | inner |