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 | 2.8 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.8 |
$q$-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 | −0.999832 | − | 0.0183525i | \(-0.994158\pi\) |
0.819668 | + | 0.572839i | \(0.194158\pi\) | |||||||
\(3\) | −8.08821 | + | 13.3259i | −0.518859 | + | 0.854860i | ||||
\(4\) | 17.0887 | + | 12.4156i | 0.534021 | + | 0.387989i | ||||
\(5\) | −40.8503 | + | 13.2731i | −0.730753 | + | 0.237436i | −0.650679 | − | 0.759353i | \(-0.725516\pi\) |
−0.0800739 | + | 0.996789i | \(0.525516\pi\) | |||||||
\(6\) | −33.5556 | − | 38.9511i | −0.380529 | − | 0.441715i | ||||
\(7\) | 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 | ||||
\(9\) | −112.162 | − | 215.566i | −0.461570 | − | 0.887104i | ||||
\(10\) | − | 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 | ||||
\(15\) | 153.530 | − | 651.725i | 0.176183 | − | 0.747887i | ||||
\(16\) | 30.3142 | + | 93.2975i | 0.0296037 | + | 0.0911109i | ||||
\(17\) | 19.0002 | + | 58.4765i | 0.0159454 | + | 0.0490749i | 0.958713 | − | 0.284377i | \(-0.0917866\pi\) |
−0.942767 | + | 0.333452i | \(0.891787\pi\) | |||||||
\(18\) | 790.466 | − | 132.115i | 0.575045 | − | 0.0961107i | ||||
\(19\) | 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 | \(0.0816238\pi\) | ||||
−0.967302 | + | 0.253628i | \(0.918376\pi\) | |||||||
\(24\) | −225.887 | − | 2721.78i | −0.0800503 | − | 0.964550i | ||||
\(25\) | −1035.60 | + | 752.410i | −0.331393 | + | 0.240771i | ||||
\(26\) | 299.227 | − | 411.851i | 0.0868095 | − | 0.119483i | ||||
\(27\) | 3779.81 | + | 248.886i | 0.997839 | + | 0.0657040i | ||||
\(28\) | 1340.92 | − | 435.693i | 0.323228 | − | 0.105023i | ||||
\(29\) | 5642.83 | + | 4099.76i | 1.24595 | + | 0.905239i | 0.997980 | − | 0.0635274i | \(-0.0202350\pi\) |
0.247975 | + | 0.968767i | \(0.420235\pi\) | |||||||
\(30\) | 1887.76 | + | 1145.78i | 0.382951 | + | 0.232433i | ||||
\(31\) | −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 | ||||||||
\(33\) | 2453.22 | − | 5754.75i | 0.392149 | − | 0.919902i | ||||
\(34\) | −202.785 | −0.0300841 | ||||||||
\(35\) | −885.970 | + | 2726.73i | −0.122250 | + | 0.376247i | ||||
\(36\) | 759.701 | − | 5076.30i | 0.0976981 | − | 0.652816i | ||||
\(37\) | −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 | ||||
\(39\) | 1822.99 | − | 1570.47i | 0.191921 | − | 0.165336i | ||||
\(40\) | 4423.32 | − | 6088.17i | 0.437117 | − | 0.601640i | ||||
\(41\) | −10856.1 | + | 7887.45i | −1.00859 | + | 0.732786i | −0.963913 | − | 0.266216i | \(-0.914227\pi\) |
−0.0446794 | + | 0.999001i | \(0.514227\pi\) | |||||||
\(42\) | −3419.95 | + | 283.830i | −0.299155 | + | 0.0248276i | ||||
\(43\) | 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 | 0.606039 | − | 0.795435i | \(-0.292758\pi\) |
−0.943780 | + | 0.330574i | \(0.892758\pi\) | |||||||
\(48\) | −1488.47 | − | 350.645i | −0.0932472 | − | 0.0219667i | ||||
\(49\) | 3816.83 | + | 11747.0i | 0.227098 | + | 0.698935i | ||||
\(50\) | −1304.60 | − | 4015.15i | −0.0737993 | − | 0.227131i | ||||
\(51\) | −932.933 | − | 219.775i | −0.0502256 | − | 0.0118319i | ||||
\(52\) | −1916.42 | − | 2637.73i | −0.0982841 | − | 0.135277i | ||||
\(53\) | 27613.0 | + | 8972.01i | 1.35028 | + | 0.438733i | 0.892787 | − | 0.450480i | \(-0.148747\pi\) |
0.457494 | + | 0.889213i | \(0.348747\pi\) | |||||||
\(54\) | −4632.90 | + | 11602.3i | −0.216206 | + | 0.541451i | ||||
\(55\) | 15470.7 | − | 7601.61i | 0.689609 | − | 0.338843i | ||||
\(56\) | 11694.7i | 0.498330i | ||||||||
\(57\) | −31373.1 | + | 2603.73i | −1.27900 | + | 0.106147i | ||||
\(58\) | −18610.4 | + | 13521.3i | −0.726418 | + | 0.527774i | ||||
\(59\) | 24093.0 | − | 33161.1i | 0.901074 | − | 1.24022i | −0.0690507 | − | 0.997613i | \(-0.521997\pi\) |
0.970124 | − | 0.242608i | \(-0.0780030\pi\) | |||||||
\(60\) | 10715.2 | − | 9230.93i | 0.384257 | − | 0.331030i | ||||
\(61\) | 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 | ||||
\(63\) | −16041.5 | − | 2400.71i | −0.509205 | − | 0.0762058i | ||||
\(64\) | 5073.57 | − | 15614.8i | 0.154833 | − | 0.476527i | ||||
\(65\) | 6629.97 | 0.194638 | ||||||||
\(66\) | 15550.4 | + | 13559.9i | 0.439422 | + | 0.383174i | ||||
\(67\) | 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 | ||||
\(69\) | −17149.2 | − | 10408.8i | −0.433632 | − | 0.263194i | ||||
\(70\) | −7649.86 | − | 5557.95i | −0.186599 | − | 0.135572i | ||||
\(71\) | 49329.1 | − | 16028.0i | 1.16133 | − | 0.377340i | 0.335932 | − | 0.941886i | \(-0.390949\pi\) |
0.825402 | + | 0.564546i | \(0.190949\pi\) | |||||||
\(72\) | 38097.3 | + | 19004.2i | 0.866089 | + | 0.432034i | ||||
\(73\) | −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 | ||||
\(75\) | −1650.39 | − | 19886.0i | −0.0338792 | − | 0.408221i | ||||
\(76\) | 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 | ||||
\(81\) | −33888.6 | + | 48356.5i | −0.573906 | + | 0.818921i | ||||
\(82\) | −13676.0 | − | 42090.5i | −0.224608 | − | 0.691272i | ||||
\(83\) | −14452.1 | − | 44479.1i | −0.230270 | − | 0.708697i | −0.997714 | − | 0.0675810i | \(-0.978472\pi\) |
0.767444 | − | 0.641116i | \(-0.221528\pi\) | |||||||
\(84\) | −5039.66 | + | 21393.0i | −0.0779298 | + | 0.330807i | ||||
\(85\) | −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 | \(0.0792920\pi\) | ||||
−0.969134 | + | 0.246535i | \(0.920708\pi\) | |||||||
\(90\) | −30537.2 | + | 15888.9i | −0.397396 | + | 0.206770i | ||||
\(91\) | −8335.42 | + | 6056.04i | −0.105517 | + | 0.0766629i | ||||
\(92\) | −15977.7 | + | 21991.5i | −0.196809 | + | 0.270885i | ||||
\(93\) | −27684.3 | − | 32135.8i | −0.331915 | − | 0.385284i | ||||
\(94\) | 27294.5 | − | 8868.53i | 0.318608 | − | 0.103522i | ||||
\(95\) | −70176.4 | − | 50986.2i | −0.797778 | − | 0.579620i | ||||
\(96\) | 47963.2 | − | 79023.0i | 0.531166 | − | 0.875136i | ||||
\(97\) | 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 | ||||||||
\(99\) | 56845.3 | + | 79237.1i | 0.582917 | + | 0.812532i | ||||
\(100\) | −27038.7 | −0.270387 | ||||||||
\(101\) | 31493.0 | − | 96925.6i | 0.307193 | − | 0.945442i | −0.671657 | − | 0.740862i | \(-0.734417\pi\) |
0.978850 | − | 0.204580i | \(-0.0655829\pi\) | |||||||
\(102\) | 1640.16 | − | 2702.30i | 0.0156094 | − | 0.0257177i | ||||
\(103\) | −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 | ||||
\(105\) | −29170.4 | − | 33860.8i | −0.258208 | − | 0.299726i | ||||
\(106\) | −56284.1 | + | 77468.4i | −0.486543 | + | 0.669669i | ||||
\(107\) | −78863.7 | + | 57297.9i | −0.665914 | + | 0.483815i | −0.868655 | − | 0.495418i | \(-0.835015\pi\) |
0.202741 | + | 0.979232i | \(0.435015\pi\) | |||||||
\(108\) | 61501.8 | + | 51181.9i | 0.507374 | + | 0.422238i | ||||
\(109\) | 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 | 0.997325 | − | 0.0730939i | \(-0.0232873\pi\) |
−0.377707 | + | 0.925925i | \(0.623287\pi\) | |||||||
\(114\) | 23807.2 | − | 101060.i | 0.171572 | − | 0.728311i | ||||
\(115\) | −17081.2 | − | 52570.4i | −0.120441 | − | 0.370678i | ||||
\(116\) | 45527.4 | + | 140119.i | 0.314143 | + | 0.966833i | ||||
\(117\) | 6183.24 | + | 36995.3i | 0.0417591 | + | 0.249851i | ||||
\(118\) | 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 | ||||||||
\(123\) | −17300.9 | − | 208464.i | −0.103111 | − | 1.24242i | ||||
\(124\) | −46498.2 | + | 33782.9i | −0.271570 | + | 0.197307i | ||||
\(125\) | 111214. | − | 153074.i | 0.636629 | − | 0.876244i | ||||
\(126\) | 23879.0 | − | 47869.7i | 0.133995 | − | 0.268617i | ||||
\(127\) | −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 | ||||
\(129\) | −45544.4 | − | 27643.3i | −0.240969 | − | 0.146257i | ||||
\(130\) | −6757.00 | + | 20795.9i | −0.0350667 | + | 0.107924i | ||||
\(131\) | 21872.3 | 0.111357 | 0.0556784 | − | 0.998449i | \(-0.482268\pi\) | ||||
0.0556784 | + | 0.998449i | \(0.482268\pi\) | |||||||
\(132\) | 113371. | − | 67882.7i | 0.566327 | − | 0.339097i | ||||
\(133\) | 134801. | 0.660788 | ||||||||
\(134\) | −37564.6 | + | 115612.i | −0.180725 | + | 0.556213i | ||||
\(135\) | −157710. | + | 40002.6i | −0.744774 | + | 0.188910i | ||||
\(136\) | −8715.11 | − | 6331.90i | −0.0404041 | − | 0.0293553i | ||||
\(137\) | −150568. | + | 48922.5i | −0.685379 | + | 0.222693i | −0.630949 | − | 0.775824i | \(-0.717334\pi\) |
−0.0544304 | + | 0.998518i | \(0.517334\pi\) | |||||||
\(138\) | 50126.4 | − | 43182.9i | 0.224062 | − | 0.193025i | ||||
\(139\) | 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 | ||||
\(141\) | 135183. | − | 11219.2i | 0.572631 | − | 0.0475240i | ||||
\(142\) | 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 | ||||
\(147\) | −187411. | − | 44149.3i | −0.715323 | − | 0.168512i | ||||
\(148\) | −76070.1 | − | 234120.i | −0.285470 | − | 0.878585i | ||||
\(149\) | 142334. | + | 438058.i | 0.525221 | + | 1.61646i | 0.763878 | + | 0.645361i | \(0.223293\pi\) |
−0.238657 | + | 0.971104i | \(0.576707\pi\) | |||||||
\(150\) | 64057.5 | + | 15090.3i | 0.232457 | + | 0.0547609i | ||||
\(151\) | 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 | ||||||
\(156\) | 50650.7 | − | 4203.63i | 0.166638 | − | 0.0138297i | ||||
\(157\) | −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 | ||||
\(159\) | −342900. | + | 295402.i | −1.07566 | + | 0.926660i | ||||
\(160\) | 242243. | − | 78709.5i | 0.748086 | − | 0.243068i | ||||
\(161\) | 69494.6 | + | 50490.8i | 0.211294 | + | 0.153514i | ||||
\(162\) | −117139. | − | 155579.i | −0.350684 | − | 0.465763i | ||||
\(163\) | −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 | ||||||||
\(165\) | −23831.6 | + | 267645.i | −0.0681465 | + | 0.765331i | ||||
\(166\) | 154244. | 0.434449 | ||||||||
\(167\) | 25087.5 | − | 77211.4i | 0.0696091 | − | 0.214235i | −0.910200 | − | 0.414168i | \(-0.864073\pi\) |
0.979810 | + | 0.199933i | \(0.0640726\pi\) | |||||||
\(168\) | −155842. | − | 94588.8i | −0.426002 | − | 0.258563i | ||||
\(169\) | −281107. | − | 204236.i | −0.757103 | − | 0.550067i | ||||
\(170\) | 8283.82 | − | 2691.58i | 0.0219841 | − | 0.00714306i | ||||
\(171\) | 219055. | − | 439135.i | 0.572879 | − | 1.14844i | ||||
\(172\) | −42433.2 | + | 58404.3i | −0.109367 | + | 0.150530i | ||||
\(173\) | 59358.4 | − | 43126.4i | 0.150788 | − | 0.109554i | −0.509833 | − | 0.860273i | \(-0.670293\pi\) |
0.660621 | + | 0.750719i | \(0.270293\pi\) | |||||||
\(174\) | −29658.6 | − | 357365.i | −0.0742638 | − | 0.894826i | ||||
\(175\) | 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 | 0.852904 | − | 0.522069i | \(-0.174839\pi\) |
−0.760078 | + | 0.649831i | \(0.774839\pi\) | |||||||
\(180\) | 36344.1 | + | 217452.i | 0.0836088 | + | 0.500244i | ||||
\(181\) | 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 | ||||
\(183\) | −62278.0 | + | 264366.i | −0.137470 | + | 0.583550i | ||||
\(184\) | −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 | ||||||
\(189\) | 161738. | − | 194350.i | 0.329351 | − | 0.395758i | ||||
\(190\) | 231447. | − | 168156.i | 0.465122 | − | 0.337931i | ||||
\(191\) | 382164. | − | 526004.i | 0.757995 | − | 1.04329i | −0.239383 | − | 0.970925i | \(-0.576945\pi\) |
0.997378 | − | 0.0723656i | \(-0.0230548\pi\) | |||||||
\(192\) | 167046. | + | 193906.i | 0.327027 | + | 0.379611i | ||||
\(193\) | −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 | ||||
\(195\) | −53624.7 | + | 88350.7i | −0.100990 | + | 0.166389i | ||||
\(196\) | −80622.0 | + | 248129.i | −0.149904 | + | 0.461357i | ||||
\(197\) | 414287. | 0.760565 | 0.380282 | − | 0.924870i | \(-0.375827\pi\) | ||||
0.380282 | + | 0.924870i | \(0.375827\pi\) | |||||||
\(198\) | −306473. | + | 97548.5i | −0.555558 | + | 0.176831i | ||||
\(199\) | −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 | ||||
\(201\) | −298119. | + | 491174.i | −0.520475 | + | 0.857522i | ||||
\(202\) | 271925. | + | 197565.i | 0.468890 | + | 0.340668i | ||||
\(203\) | 442785. | − | 143870.i | 0.754142 | − | 0.245036i | ||||
\(204\) | −13213.9 | − | 15338.6i | −0.0222309 | − | 0.0258054i | ||||
\(205\) | 338786. | − | 466299.i | 0.563043 | − | 0.774962i | ||||
\(206\) | 471420. | − | 342507.i | 0.773998 | − | 0.562343i | ||||
\(207\) | 277413. | − | 144341.i | 0.449988 | − | 0.234134i | ||||
\(208\) | − | 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 | ||||
\(213\) | −185396. | + | 786995.i | −0.279996 | + | 1.18856i | ||||
\(214\) | −99348.6 | − | 305763.i | −0.148295 | − | 0.456406i | ||||
\(215\) | −45363.7 | − | 139615.i | −0.0669287 | − | 0.205985i | ||||
\(216\) | −561387. | + | 353973.i | −0.818707 | + | 0.516220i | ||||
\(217\) | 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 | ||||||
\(222\) | 49555.5 | + | 597109.i | 0.0674853 | + | 0.813151i | ||||
\(223\) | 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 | ||||
\(225\) | 278349. | + | 138850.i | 0.366550 | + | 0.182847i | ||||
\(226\) | −448815. | + | 145829.i | −0.584516 | + | 0.189921i | ||||
\(227\) | −794078. | − | 576932.i | −1.02282 | − | 0.743121i | −0.0559600 | − | 0.998433i | \(-0.517822\pi\) |
−0.966859 | + | 0.255312i | \(0.917822\pi\) | |||||||
\(228\) | −568451. | − | 345023.i | −0.724195 | − | 0.439552i | ||||
\(229\) | −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 | ||||||||
\(231\) | −214514. | − | 358261.i | −0.264500 | − | 0.441742i | ||||
\(232\) | −1.22202e6 | −1.49060 | ||||||||
\(233\) | −347998. | + | 1.07103e6i | −0.419939 | + | 1.29244i | 0.487818 | + | 0.872945i | \(0.337793\pi\) |
−0.907757 | + | 0.419495i | \(0.862207\pi\) | |||||||
\(234\) | −122343. | − | 18309.4i | −0.146063 | − | 0.0218592i | ||||
\(235\) | 302383. | + | 219694.i | 0.357180 | + | 0.259507i | ||||
\(236\) | 823433. | − | 267550.i | 0.962384 | − | 0.312698i | ||||
\(237\) | 121028. | − | 104263.i | 0.139963 | − | 0.120576i | ||||
\(238\) | −7956.11 | + | 10950.6i | −0.00910455 | + | 0.0125313i | ||||
\(239\) | −935104. | + | 679393.i | −1.05892 | + | 0.769354i | −0.973889 | − | 0.227024i | \(-0.927100\pi\) |
−0.0850353 | + | 0.996378i | \(0.527100\pi\) | |||||||
\(240\) | 65458.4 | − | 5432.55i | 0.0733563 | − | 0.00608802i | ||||
\(241\) | − | 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 | ||||
\(246\) | 671510. | + | 158191.i | 0.707481 | + | 0.166665i | ||||
\(247\) | −96327.3 | − | 296465.i | −0.100463 | − | 0.309194i | ||||
\(248\) | −147316. | − | 453393.i | −0.152097 | − | 0.468107i | ||||
\(249\) | 709617. | + | 167168.i | 0.725314 | + | 0.170866i | ||||
\(250\) | 366793. | + | 504847.i | 0.371168 | + | 0.510869i | ||||
\(251\) | 336658. | + | 109387.i | 0.337291 | + | 0.109592i | 0.472765 | − | 0.881188i | \(-0.343256\pi\) |
−0.135474 | + | 0.990781i | \(0.543256\pi\) | |||||||
\(252\) | −244321. | − | 240190.i | −0.242359 | − | 0.238261i | ||||
\(253\) | −73370.2 | − | 511211.i | −0.0720640 | − | 0.502110i | ||||
\(254\) | − | 91653.0i | − | 0.0891379i | ||||||
\(255\) | 41027.7 | − | 3404.99i | 0.0395118 | − | 0.00327918i | ||||
\(256\) | 786886. | − | 571706.i | 0.750433 | − | 0.545222i | ||||
\(257\) | −849721. | + | 1.16954e6i | −0.802498 | + | 1.10454i | 0.189940 | + | 0.981796i | \(0.439171\pi\) |
−0.992438 | + | 0.122748i | \(0.960829\pi\) | |||||||
\(258\) | 133124. | − | 114684.i | 0.124511 | − | 0.107264i | ||||
\(259\) | −739835. | + | 240387.i | −0.685307 | + | 0.222670i | ||||
\(260\) | 113297. | + | 82315.4i | 0.103941 | + | 0.0755175i | ||||
\(261\) | 250860. | − | 1.67624e6i | 0.227945 | − | 1.52312i | ||||
\(262\) | −22291.4 | + | 68605.9i | −0.0200625 | + | 0.0617459i | ||||
\(263\) | −63759.2 | −0.0568399 | −0.0284199 | − | 0.999596i | \(-0.509048\pi\) | ||||
−0.0284199 | + | 0.999596i | \(0.509048\pi\) | |||||||
\(264\) | 244908. | + | 1.06832e6i | 0.216269 | + | 0.943394i | ||||
\(265\) | −1.24709e6 | −1.09089 | ||||||||
\(266\) | −137383. | + | 422822.i | −0.119050 | + | 0.366398i | ||||
\(267\) | −491000. | − | 298014.i | −0.421506 | − | 0.255834i | ||||
\(268\) | 629862. | + | 457622.i | 0.535684 | + | 0.389197i | ||||
\(269\) | −831747. | + | 270251.i | −0.700827 | + | 0.227712i | −0.637691 | − | 0.770293i | \(-0.720110\pi\) |
−0.0631360 | + | 0.998005i | \(0.520110\pi\) | |||||||
\(270\) | 35257.4 | − | 535450.i | 0.0294334 | − | 0.447002i | ||||
\(271\) | 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 | ||||
\(273\) | −13283.8 | − | 160060.i | −0.0107873 | − | 0.129980i | ||||
\(274\) | − | 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 | ||||
\(279\) | 652156. | − | 108999.i | 0.501581 | − | 0.0838323i | ||||
\(280\) | −155224. | − | 477730.i | −0.118322 | − | 0.364156i | ||||
\(281\) | −444465. | − | 1.36792e6i | −0.335793 | − | 1.03347i | −0.966330 | − | 0.257306i | \(-0.917165\pi\) |
0.630537 | − | 0.776160i | \(-0.282835\pi\) | |||||||
\(282\) | −102582. | + | 435456.i | −0.0768158 | + | 0.326078i | ||||
\(283\) | 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 | ||||||||
\(288\) | 665120. | + | 1.27831e6i | 0.472518 | + | 0.908145i | ||||
\(289\) | 1.14563e6 | − | 832349.i | 0.806863 | − | 0.586220i | ||||
\(290\) | 580774. | − | 799367.i | 0.405520 | − | 0.558150i | ||||
\(291\) | 1.27744e6 | + | 1.48284e6i | 0.884316 | + | 1.02651i | ||||
\(292\) | −1.45946e6 | + | 474206.i | −1.00169 | + | 0.325470i | ||||
\(293\) | 334947. | + | 243353.i | 0.227933 | + | 0.165603i | 0.695890 | − | 0.718148i | \(-0.255010\pi\) |
−0.467958 | + | 0.883751i | \(0.655010\pi\) | |||||||
\(294\) | 329483. | − | 542848.i | 0.222313 | − | 0.366277i | ||||
\(295\) | −544056. | + | 1.67443e6i | −0.363989 | + | 1.12024i | ||||
\(296\) | 2.04184e6 | 1.35454 | ||||||||
\(297\) | −1.51569e6 | + | 116630.i | −0.997053 | + | 0.0767222i | ||||
\(298\) | −1.51910e6 | −0.990933 | ||||||||
\(299\) | 61383.4 | − | 188919.i | 0.0397075 | − | 0.122207i | ||||
\(300\) | 218695. | − | 360317.i | 0.140293 | − | 0.231143i | ||||
\(301\) | 184562. | + | 134092.i | 0.117416 | + | 0.0853074i | ||||
\(302\) | −935682. | + | 304022.i | −0.590352 | + | 0.191817i | ||||
\(303\) | 1.03690e6 | + | 1.20363e6i | 0.648831 | + | 0.753158i | ||||
\(304\) | −116447. | + | 160275.i | −0.0722675 | + | 0.0994676i | ||||
\(305\) | −605450. | + | 439885.i | −0.372674 | + | 0.270763i | ||||
\(306\) | 22744.6 | + | 43713.5i | 0.0138859 | + | 0.0266877i | ||||
\(307\) | − | 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 | 0.825313 | − | 0.564676i | \(-0.190999\pi\) |
−0.792075 | + | 0.610424i | \(0.790999\pi\) | |||||||
\(312\) | −96664.4 | + | 410334.i | −0.0562186 | + | 0.238644i | ||||
\(313\) | 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 | ||||
\(315\) | 687163. | − | 114850.i | 0.390197 | − | 0.0652159i | ||||
\(316\) | −127231. | − | 175119.i | −0.0716764 | − | 0.0986541i | ||||
\(317\) | −2.27509e6 | − | 739222.i | −1.27160 | − | 0.413168i | −0.405986 | − | 0.913879i | \(-0.633072\pi\) |
−0.865614 | + | 0.500712i | \(0.833072\pi\) | |||||||
\(318\) | −577102. | − | 1.37662e6i | −0.320026 | − | 0.763389i | ||||
\(319\) | −2.47531e6 | − | 1.30688e6i | −1.36192 | − | 0.719049i | ||||
\(320\) | 705214.i | 0.384987i | ||||||||
\(321\) | −125681. | − | 1.51437e6i | −0.0680782 | − | 0.820294i | ||||
\(322\) | −229198. | + | 166522.i | −0.123189 | + | 0.0895018i | ||||
\(323\) | −72985.8 | + | 100456.i | −0.0389253 | + | 0.0535761i | ||||
\(324\) | −1.17949e6 | + | 405600.i | −0.624210 | + | 0.214652i | ||||
\(325\) | 187916. | − | 61057.7i | 0.0986861 | − | 0.0320651i | ||||
\(326\) | −55225.6 | − | 40123.8i | −0.0287804 | − | 0.0209102i | ||||
\(327\) | −2.92908e6 | − | 1.77781e6i | −1.51482 | − | 0.919425i | ||||
\(328\) | 726508. | − | 2.23596e6i | 0.372869 | − | 1.14757i | ||||
\(329\) | −580841. | −0.295847 | ||||||||
\(330\) | −815220. | − | 347524.i | −0.412088 | − | 0.175671i | ||||
\(331\) | −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 | ||||
\(333\) | −419154. | + | 2.80077e6i | −0.207139 | + | 1.38410i | ||||
\(334\) | 216617. | + | 157381.i | 0.106249 | + | 0.0771946i | ||||
\(335\) | −1.50568e6 | + | 489225.i | −0.733029 | + | 0.238175i | ||||
\(336\) | −77334.2 | + | 66621.9i | −0.0373700 | + | 0.0321935i | ||||
\(337\) | 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 | ||||
\(339\) | −2.22287e6 | + | 184481.i | −1.05055 | + | 0.0871873i | ||||
\(340\) | − | 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 | ||||
\(345\) | 838707. | + | 197578.i | 0.379370 | + | 0.0893699i | ||||
\(346\) | 74776.7 | + | 230139.i | 0.0335796 | + | 0.103347i | ||||
\(347\) | 1.11736e6 | + | 3.43888e6i | 0.498161 | + | 1.53318i | 0.811972 | + | 0.583696i | \(0.198394\pi\) |
−0.313811 | + | 0.949485i | \(0.601606\pi\) | |||||||
\(348\) | −2.23545e6 | − | 526616.i | −0.989503 | − | 0.233102i | ||||
\(349\) | 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 | \(-0.804032\pi\) | ||
0.816397 | − | 0.577491i | \(-0.195968\pi\) | |||||||
\(354\) | −2.10012e6 | + | 174294.i | −0.890708 | + | 0.0739220i | ||||
\(355\) | −1.80237e6 | + | 1.30950e6i | −0.759054 | + | 0.551485i | ||||
\(356\) | −457460. | + | 629639.i | −0.191306 | + | 0.263310i | ||||
\(357\) | −48471.1 | + | 41756.9i | −0.0201286 | + | 0.0173404i | ||||
\(358\) | −212347. | + | 68995.6i | −0.0875665 | + | 0.0284521i | ||||
\(359\) | 3.19453e6 | + | 2.32096e6i | 1.30819 | + | 0.950456i | 1.00000 | 0.000868475i | \(-0.000276444\pi\) | |
0.308191 | + | 0.951325i | \(0.400276\pi\) | |||||||
\(360\) | −1.80853e6 | − | 270658.i | −0.735478 | − | 0.110069i | ||||
\(361\) | −495135. | + | 1.52387e6i | −0.199966 | + | 0.615431i | ||||
\(362\) | −1.00112e6 | −0.401526 | ||||||||
\(363\) | −646424. | + | 2.42589e6i | −0.257484 | + | 0.966282i | ||||
\(364\) | −217631. | −0.0860928 | ||||||||
\(365\) | 964287. | − | 2.96777e6i | 0.378856 | − | 1.16600i | ||||
\(366\) | −765753. | − | 464776.i | −0.298804 | − | 0.181360i | ||||
\(367\) | −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 | ||||
\(369\) | 2.91791e6 | + | 1.45555e6i | 1.11559 | + | 0.556494i | ||||
\(370\) | −970396. | + | 1.33563e6i | −0.368506 | + | 0.507205i | ||||
\(371\) | 1.56788e6 | − | 1.13913e6i | 0.591395 | − | 0.429673i | ||||
\(372\) | −74101.9 | − | 892876.i | −0.0277634 | − | 0.334529i | ||||
\(373\) | 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 | ||||
\(378\) | 444771. | + | 705390.i | 0.160106 | + | 0.253922i | ||||
\(379\) | −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 | ||||
\(381\) | 99332.4 | − | 421660.i | 0.0350573 | − | 0.148816i | ||||
\(382\) | 1.26040e6 | + | 1.73480e6i | 0.441927 | + | 0.608261i | ||||
\(383\) | 3.88935e6 | + | 1.26373e6i | 1.35482 | + | 0.440206i | 0.894309 | − | 0.447450i | \(-0.147668\pi\) |
0.460507 | + | 0.887656i | \(0.347668\pi\) | |||||||
\(384\) | 1.94959e6 | − | 817300.i | 0.674707 | − | 0.282848i | ||||
\(385\) | 196484. | − | 1.13368e6i | 0.0675579 | − | 0.389798i | ||||
\(386\) | − | 1.90386e6i | − | 0.650380i | ||||||
\(387\) | 736745. | − | 383337.i | 0.250058 | − | 0.130108i | ||||
\(388\) | 2.14557e6 | − | 1.55885e6i | 0.723541 | − | 0.525683i | ||||
\(389\) | 141113. | − | 194226.i | 0.0472817 | − | 0.0650777i | −0.784721 | − | 0.619849i | \(-0.787194\pi\) |
0.832003 | + | 0.554771i | \(0.187194\pi\) | |||||||
\(390\) | −222473. | − | 258245.i | −0.0740655 | − | 0.0859747i | ||||
\(391\) | −75253.7 | + | 24451.4i | −0.0248935 | + | 0.00808839i | ||||
\(392\) | −1.75073e6 | − | 1.27198e6i | −0.575444 | − | 0.418084i | ||||
\(393\) | −176908. | + | 291470.i | −0.0577785 | + | 0.0951945i | ||||
\(394\) | −422225. | + | 1.29947e6i | −0.137026 | + | 0.421723i | ||||
\(395\) | 440164. | 0.141945 | ||||||||
\(396\) | −12369.4 | + | 2.05983e6i | −0.00396380 | + | 0.660074i | ||||
\(397\) | −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 | ||||
\(399\) | −1.09030e6 | + | 1.79634e6i | −0.342856 | + | 0.564881i | ||||
\(400\) | −101591. | − | 73810.5i | −0.0317473 | − | 0.0230658i | ||||
\(401\) | 779035. | − | 253124.i | 0.241934 | − | 0.0786090i | −0.185540 | − | 0.982637i | \(-0.559404\pi\) |
0.427474 | + | 0.904028i | \(0.359404\pi\) | |||||||
\(402\) | −1.23681e6 | − | 1.43568e6i | −0.381714 | − | 0.443090i | ||||
\(403\) | 246871. | − | 339788.i | 0.0757193 | − | 0.104219i | ||||
\(404\) | 1.74157e6 | − | 1.26532e6i | 0.530868 | − | 0.385698i | ||||
\(405\) | 742519. | − | 2.42518e6i | 0.224942 | − | 0.734695i | ||||
\(406\) | 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 | ||||
\(411\) | 565887. | − | 2.40216e6i | 0.165244 | − | 0.701450i | ||||
\(412\) | −1.15325e6 | − | 3.54934e6i | −0.334719 | − | 1.03016i | ||||
\(413\) | −845476. | − | 2.60211e6i | −0.243908 | − | 0.750672i | ||||
\(414\) | 170020. | + | 1.01725e6i | 0.0487526 | + | 0.291694i | ||||
\(415\) | 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 | \(-0.996065\pi\) | ||
0.999924 | − | 0.0123630i | \(-0.00393536\pi\) | |||||||
\(420\) | −78079.7 | − | 940805.i | −0.0215981 | − | 0.260241i | ||||
\(421\) | 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 | ||||
\(423\) | −943884. | + | 1.89219e6i | −0.256488 | + | 0.514177i | ||||
\(424\) | −4.83787e6 | + | 1.57192e6i | −1.30689 | + | 0.424634i | ||||
\(425\) | −63675.0 | − | 46262.6i | −0.0171000 | − | 0.0124239i | ||||
\(426\) | −2.27958e6 | − | 1.38359e6i | −0.608598 | − | 0.369390i | ||||
\(427\) | 359386. | − | 1.10608e6i | 0.0953874 | − | 0.293572i | ||||
\(428\) | −2.05907e6 | −0.543326 | ||||||||
\(429\) | −634628. | + | 727787.i | −0.166485 | + | 0.190924i | ||||
\(430\) | 484156. | 0.126274 | ||||||||
\(431\) | −2.21277e6 | + | 6.81020e6i | −0.573777 | + | 1.76590i | 0.0665310 | + | 0.997784i | \(0.478807\pi\) |
−0.640308 | + | 0.768119i | \(0.721193\pi\) | |||||||
\(432\) | 91361.5 | + | 360192.i | 0.0235534 | + | 0.0928591i | ||||
\(433\) | −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 | ||||
\(435\) | 3.53826e6 | − | 3.04814e6i | 0.896533 | − | 0.772345i | ||||
\(436\) | −2.72899e6 | + | 3.75614e6i | −0.687521 | + | 0.946292i | ||||
\(437\) | −2.10256e6 | + | 1.52760e6i | −0.526677 | + | 0.382653i | ||||
\(438\) | 3.72226e6 | − | 308919.i | 0.927089 | − | 0.0769413i | ||||
\(439\) | 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 | \(-0.997228\pi\) |
0.300723 | − | 0.953711i | \(-0.402772\pi\) | |||||||
\(444\) | 3.73514e6 | + | 879905.i | 0.899186 | + | 0.211826i | ||||
\(445\) | −489052. | − | 1.50515e6i | −0.117073 | − | 0.360312i | ||||
\(446\) | 1.10593e6 | + | 3.40371e6i | 0.263264 | + | 0.810244i | ||||
\(447\) | −6.98877e6 | − | 1.64638e6i | −1.65437 | − | 0.389727i | ||||
\(448\) | −644165. | − | 886617.i | −0.151636 | − | 0.208709i | ||||
\(449\) | −5.72820e6 | − | 1.86121e6i | −1.34092 | − | 0.435691i | −0.451291 | − | 0.892377i | \(-0.649036\pi\) |
−0.889628 | + | 0.456686i | \(0.849036\pi\) | |||||||
\(450\) | −719204. | + | 731573.i | −0.167425 | + | 0.170305i | ||||
\(451\) | 3.86282e6 | − | 3.75216e6i | 0.894258 | − | 0.868641i | ||||
\(452\) | 3.02240e6i | 0.695835i | ||||||||
\(453\) | −4.63420e6 | + | 384604.i | −1.06103 | + | 0.0880578i | ||||
\(454\) | 2.61892e6 | − | 1.90276e6i | 0.596325 | − | 0.433256i | ||||
\(455\) | 260122. | − | 358028.i | 0.0589046 | − | 0.0810752i | ||||
\(456\) | 4.17874e6 | − | 3.59990e6i | 0.941094 | − | 0.810734i | ||||
\(457\) | 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 | ||||
\(459\) | 57263.1 | + | 225759.i | 0.0126865 | + | 0.0500165i | ||||
\(460\) | 360801. | − | 1.11043e6i | 0.0795012 | − | 0.244679i | ||||
\(461\) | −7.38752e6 | −1.61900 | −0.809500 | − | 0.587120i | \(-0.800261\pi\) | ||||
−0.809500 | + | 0.587120i | \(0.800261\pi\) | |||||||
\(462\) | 1.34236e6 | − | 307730.i | 0.292593 | − | 0.0670757i | ||||
\(463\) | −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 | ||||
\(465\) | 1.55745e6 | + | 945301.i | 0.334028 | + | 0.202739i | ||||
\(466\) | −3.00477e6 | − | 2.18309e6i | −0.640983 | − | 0.465701i | ||||
\(467\) | 3.51676e6 | − | 1.14267e6i | 0.746193 | − | 0.242453i | 0.0888504 | − | 0.996045i | \(-0.471681\pi\) |
0.657342 | + | 0.753592i | \(0.271681\pi\) | |||||||
\(468\) | −353657. | + | 708969.i | −0.0746392 | + | 0.149628i | ||||
\(469\) | 1.44612e6 | − | 1.99041e6i | 0.303579 | − | 0.417840i | ||||
\(470\) | −997278. | + | 724565.i | −0.208244 | + | 0.151298i | ||||
\(471\) | −127077. | − | 1.53119e6i | −0.0263946 | − | 0.318036i | ||||
\(472\) | 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 | ||||
\(477\) | −1.16306e6 | − | 6.95875e6i | −0.234048 | − | 1.40034i | ||||
\(478\) | −1.17800e6 | − | 3.62550e6i | −0.235816 | − | 0.725769i | ||||
\(479\) | 490503. | + | 1.50961e6i | 0.0976794 | + | 0.300626i | 0.987943 | − | 0.154820i | \(-0.0494797\pi\) |
−0.890263 | + | 0.455446i | \(0.849480\pi\) | |||||||
\(480\) | −910435. | + | 3.86474e6i | −0.180362 | + | 0.765626i | ||||
\(481\) | 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 | ||||||||
\(486\) | 3.02069e6 | − | 302635.i | 0.580117 | − | 0.0581203i | ||||
\(487\) | −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 | ||||
\(489\) | −210586. | − | 244447.i | −0.0398251 | − | 0.0462287i | ||||
\(490\) | 1.66409e6 | − | 540694.i | 0.313102 | − | 0.101733i | ||||
\(491\) | 312167. | + | 226803.i | 0.0584364 | + | 0.0424565i | 0.616620 | − | 0.787261i | \(-0.288502\pi\) |
−0.558184 | + | 0.829717i | \(0.688502\pi\) | |||||||
\(492\) | 2.29256e6 | − | 3.77717e6i | 0.426981 | − | 0.703483i | ||||
\(493\) | −132525. | + | 407870.i | −0.0245573 | + | 0.0755795i | ||||
\(494\) | 1.02808e6 | 0.189544 | ||||||||
\(495\) | −3.37387e6 | − | 2.48235e6i | −0.618892 | − | 0.455355i | ||||
\(496\) | −266927. | −0.0487178 | ||||||||
\(497\) | 1.06986e6 | − | 3.29269e6i | 0.194283 | − | 0.597942i | ||||
\(498\) | −1.24756e6 | + | 2.05545e6i | −0.225418 | + | 0.371393i | ||||
\(499\) | −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 | ||||
\(501\) | 826001. | + | 958817.i | 0.147023 | + | 0.170664i | ||||
\(502\) | −686216. | + | 944495.i | −0.121535 | + | 0.167279i | ||||
\(503\) | 2.99564e6 | − | 2.17646e6i | 0.527922 | − | 0.383558i | −0.291658 | − | 0.956523i | \(-0.594207\pi\) |
0.819580 | + | 0.572965i | \(0.194207\pi\) | |||||||
\(504\) | 2.52097e6 | − | 1.31169e6i | 0.442071 | − | 0.230014i | ||||
\(505\) | 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 | 0.752921 | − | 0.658110i | \(-0.228644\pi\) |
−0.858566 | + | 0.512704i | \(0.828644\pi\) | |||||||
\(510\) | −31133.5 | + | 132160.i | −0.00530033 | + | 0.0224995i | ||||
\(511\) | 1.49853e6 | + | 4.61199e6i | 0.253870 | + | 0.781332i | ||||
\(512\) | −349720. | − | 1.07633e6i | −0.0589583 | − | 0.181455i | ||||
\(513\) | 4.08013e6 | + | 6.47093e6i | 0.684511 | + | 1.08561i | ||||
\(514\) | −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 | ||||||
\(519\) | 94596.5 | + | 1.13982e6i | 0.0154155 | + | 0.185746i | ||||
\(520\) | −939744. | + | 682764.i | −0.152406 | + | 0.110729i | ||||
\(521\) | −909723. | + | 1.25213e6i | −0.146830 | + | 0.202094i | −0.876097 | − | 0.482135i | \(-0.839861\pi\) |
0.729267 | + | 0.684229i | \(0.239861\pi\) | |||||||
\(522\) | 5.00211e6 | + | 2.49521e6i | 0.803483 | + | 0.400804i | ||||
\(523\) | 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 | ||||
\(525\) | −1.13863e6 | − | 691091.i | −0.180295 | − | 0.109430i | ||||
\(526\) | 64980.7 | − | 199990.i | 0.0102405 | − | 0.0315169i | ||||
\(527\) | −167303. | −0.0262408 | ||||||||
\(528\) | 611271. | + | 54428.7i | 0.0954221 | + | 0.00849656i | ||||
\(529\) | 4.78022e6 | 0.742692 | ||||||||
\(530\) | 1.27098e6 | − | 3.91167e6i | 0.196539 | − | 0.604885i | ||||
\(531\) | −9.85072e6 | − | 1.47422e6i | −1.51611 | − | 0.226896i | ||||
\(532\) | 2.30356e6 | + | 1.67364e6i | 0.352875 | + | 0.256379i | ||||
\(533\) | 1.96991e6 | − | 640063.i | 0.300351 | − | 0.0975899i | ||||
\(534\) | 1.43517e6 | − | 1.23637e6i | 0.217796 | − | 0.187627i | ||||
\(535\) | 2.46109e6 | − | 3.38740e6i | 0.371743 | − | 0.511661i | ||||
\(536\) | −5.22438e6 | + | 3.79574e6i | −0.785458 | + | 0.570669i | ||||
\(537\) | −1.05170e6 | + | 87283.2i | −0.157383 | + | 0.0130616i | ||||
\(538\) | − | 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 | ||||
\(543\) | −4.60575e6 | − | 1.08500e6i | −0.670349 | − | 0.157917i | ||||
\(544\) | −112671. | − | 346767.i | −0.0163236 | − | 0.0502389i | ||||
\(545\) | −2.91746e6 | − | 8.97901e6i | −0.420740 | − | 1.29490i | ||||
\(546\) | 515590. | + | 121460.i | 0.0740155 | + | 0.0174362i | ||||
\(547\) | 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 | ||||||||
\(552\) | 3.50267e6 | − | 290695.i | 0.489273 | − | 0.0406059i | ||||
\(553\) | −553388. | + | 402060.i | −0.0769515 | + | 0.0559085i | ||||
\(554\) | 81736.6 | − | 112501.i | 0.0113147 | − | 0.0155733i | ||||
\(555\) | −5.91196e6 | + | 5.09303e6i | −0.814702 | + | 0.701850i | ||||
\(556\) | 4.57461e6 | − | 1.48638e6i | 0.627577 | − | 0.203912i | ||||
\(557\) | 6.77355e6 | + | 4.92127e6i | 0.925077 | + | 0.672108i | 0.944783 | − | 0.327698i | \(-0.106273\pi\) |
−0.0197051 | + | 0.999806i | \(0.506273\pi\) | |||||||
\(558\) | −322760. | + | 2.15667e6i | −0.0438828 | + | 0.293223i | ||||
\(559\) | 163020. | − | 501725.i | 0.0220654 | − | 0.0679104i | ||||
\(560\) | −281255. | −0.0378992 | ||||||||
\(561\) | 383129. | + | 34114.5i | 0.0513971 | + | 0.00457649i | ||||
\(562\) | 4.74368e6 | 0.633540 | ||||||||
\(563\) | 1.99413e6 | − | 6.13729e6i | 0.265144 | − | 0.816030i | −0.726516 | − | 0.687149i | \(-0.758862\pi\) |
0.991660 | − | 0.128880i | \(-0.0411382\pi\) | |||||||
\(564\) | 2.44939e6 | + | 1.48666e6i | 0.324236 | + | 0.196796i | ||||
\(565\) | −4.97220e6 | − | 3.61251e6i | −0.655281 | − | 0.476089i | ||||
\(566\) | −7.24216e6 | + | 2.35312e6i | −0.950226 | + | 0.308747i | ||||
\(567\) | 1.28172e6 | + | 3.72726e6i | 0.167431 | + | 0.486892i | ||||
\(568\) | −5.34141e6 | + | 7.35181e6i | −0.694680 | + | 0.956145i | ||||
\(569\) | 1.85632e6 | − | 1.34870e6i | 0.240365 | − | 0.174636i | −0.461081 | − | 0.887358i | \(-0.652538\pi\) |
0.701446 | + | 0.712723i | \(0.252538\pi\) | |||||||
\(570\) | 368845. | + | 4.44432e6i | 0.0475507 | + | 0.572952i | ||||
\(571\) | − | 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 | ||||
\(576\) | −3.93509e6 | + | 657696.i | −0.494195 | + | 0.0825978i | ||||
\(577\) | 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 | ||||
\(579\) | 2.06338e6 | − | 8.75892e6i | 0.255790 | − | 1.08581i | ||||
\(580\) | −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 | ||||||
\(585\) | −743629. | − | 1.42920e6i | −0.0898393 | − | 0.172664i | ||||
\(586\) | −1.10468e6 | + | 802594.i | −0.132890 | + | 0.0965499i | ||||
\(587\) | 9.41513e6 | − | 1.29588e7i | 1.12780 | − | 1.55228i | 0.335612 | − | 0.942000i | \(-0.391057\pi\) |
0.792185 | − | 0.610280i | \(-0.208943\pi\) | |||||||
\(588\) | −2.65446e6 | − | 3.08128e6i | −0.316616 | − | 0.367526i | ||||
\(589\) | −5.22611e6 | + | 1.69807e6i | −0.620713 | + | 0.201682i | ||||
\(590\) | −4.69762e6 | − | 3.41302e6i | −0.555582 | − | 0.403654i | ||||
\(591\) | −3.35084e6 | + | 5.52077e6i | −0.394626 | + | 0.650176i | ||||
\(592\) | 353287. | − | 1.08731e6i | 0.0414308 | − | 0.127511i | ||||
\(593\) | 1.03545e7 | 1.20918 | 0.604591 | − | 0.796536i | \(-0.293336\pi\) | ||||
0.604591 | + | 0.796536i | \(0.293336\pi\) | |||||||
\(594\) | 1.17890e6 | − | 4.87304e6i | 0.137091 | − | 0.566674i | ||||
\(595\) | −176284. | −0.0204136 | ||||||||
\(596\) | −3.00648e6 | + | 9.25300e6i | −0.346691 | + | 1.06701i | ||||
\(597\) | 3.03960e6 | − | 5.00797e6i | 0.349044 | − | 0.575077i | ||||
\(598\) | 530012. | + | 385076.i | 0.0606084 | + | 0.0440346i | ||||
\(599\) | −2.36085e6 | + | 767086.i | −0.268844 | + | 0.0873528i | −0.440337 | − | 0.897833i | \(-0.645141\pi\) |
0.171493 | + | 0.985185i | \(0.445141\pi\) | |||||||
\(600\) | 2.28182e6 | + | 2.64872e6i | 0.258764 | + | 0.300371i | ||||
\(601\) | 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 | ||||
\(603\) | −4.13411e6 | − | 7.94544e6i | −0.463008 | − | 0.889866i | ||||
\(604\) | 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 | ||||
\(609\) | −1.66414e6 | + | 7.06418e6i | −0.181822 | + | 0.771825i | ||||
\(610\) | −762715. | − | 2.34740e6i | −0.0829923 | − | 0.255424i | ||||
\(611\) | 415064. | + | 1.27744e6i | 0.0449792 | + | 0.138432i | ||||
\(612\) | 311279. | − | 52025.9i | 0.0335947 | − | 0.00561489i | ||||
\(613\) | 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 | \(-0.927216\pi\) | ||
0.973971 | − | 0.226671i | \(-0.0727842\pi\) | |||||||
\(618\) | 751279. | + | 9.05238e6i | 0.0791280 | + | 0.953436i | ||||
\(619\) | 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 | ||||
\(621\) | −320293. | + | 4.86425e6i | −0.0333287 | + | 0.506159i | ||||
\(622\) | −302540. | + | 98301.1i | −0.0313550 | + | 0.0101878i | ||||
\(623\) | 1.98970e6 | + | 1.44560e6i | 0.205385 | + | 0.149221i | ||||
\(624\) | 201783. | + | 122473.i | 0.0207455 | + | 0.0125915i | ||||
\(625\) | −1.27525e6 | + | 3.92481e6i | −0.130586 | + | 0.401901i | ||||
\(626\) | −3.40937e6 | −0.347727 | ||||||||
\(627\) | 1.23142e7 | − | 2.82298e6i | 1.25095 | − | 0.286773i | ||||
\(628\) | −2.08193e6 | −0.210653 | ||||||||
\(629\) | 221431. | − | 681496.i | 0.0223158 | − | 0.0686810i | ||||
\(630\) | −340085. | + | 2.27244e6i | −0.0341379 | + | 0.228108i | ||||
\(631\) | 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 | ||||
\(633\) | −6.14001e6 | + | 5.28949e6i | −0.609059 | + | 0.524692i | ||||
\(634\) | 4.63736e6 | − | 6.38277e6i | 0.458192 | − | 0.630647i | ||||
\(635\) | 965681. | − | 701609.i | 0.0950385 | − | 0.0690495i | ||||
\(636\) | −9.52732e6 | + | 790695.i | −0.933959 | + | 0.0775115i | ||||
\(637\) | − | 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 | \(0.117075\pi\) |
0.0536166 | + | 0.998562i | \(0.482925\pi\) | |||||||
\(642\) | 4.87814e6 | + | 1.14917e6i | 0.467107 | + | 0.110039i | ||||
\(643\) | 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 | ||||
\(645\) | 2.22741e6 | + | 524723.i | 0.210815 | + | 0.0496627i | ||||
\(646\) | −240712. | − | 331312.i | −0.0226943 | − | 0.0312360i | ||||
\(647\) | −255495. | − | 83015.3i | −0.0239950 | − | 0.00779646i | 0.296995 | − | 0.954879i | \(-0.404016\pi\) |
−0.320990 | + | 0.947083i | \(0.604016\pi\) | |||||||
\(648\) | −176396. | − | 1.03440e7i | −0.0165026 | − | 0.967725i | ||||
\(649\) | −7.68010e6 | + | 1.45466e7i | −0.715740 | + | 1.35565i | ||||
\(650\) | 651655.i | 0.0604971i | ||||||||
\(651\) | −2.82155e6 | + | 234167.i | −0.260937 | + | 0.0216558i | ||||
\(652\) | −353697. | + | 256976.i | −0.0325846 | + | 0.0236741i | ||||
\(653\) | 2.78584e6 | − | 3.83438e6i | 0.255666 | − | 0.351895i | −0.661819 | − | 0.749663i | \(-0.730215\pi\) |
0.917486 | + | 0.397769i | \(0.130215\pi\) | |||||||
\(654\) | 8.56157e6 | − | 7.37562e6i | 0.782724 | − | 0.674301i | ||||
\(655\) | −893493. | + | 290313.i | −0.0813744 | + | 0.0264401i | ||||
\(656\) | −1.06497e6 | − | 773750.i | −0.0966228 | − | 0.0702006i | ||||
\(657\) | 1.74595e7 | + | 2.61292e6i | 1.57804 | + | 0.236164i | ||||
\(658\) | 591969. | − | 1.82189e6i | 0.0533009 | − | 0.164043i | ||||
\(659\) | 1.07295e7 | 0.962425 | 0.481212 | − | 0.876604i | \(-0.340197\pi\) | ||||
0.481212 | + | 0.876604i | \(0.340197\pi\) | |||||||
\(660\) | −3.73024e6 | + | 4.27781e6i | −0.333332 | + | 0.382263i | ||||
\(661\) | −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 | ||||
\(663\) | 126472. | + | 76762.8i | 0.0111741 | + | 0.00678214i | ||||
\(664\) | 6.62898e6 | + | 4.81624e6i | 0.583481 | + | 0.423924i | ||||
\(665\) | −5.50665e6 | + | 1.78922e6i | −0.482873 | + | 0.156895i | ||||
\(666\) | −8.35785e6 | − | 4.16917e6i | −0.730145 | − | 0.364220i | ||||
\(667\) | −5.27599e6 | + | 7.26178e6i | −0.459187 | + | 0.632017i | ||||
\(668\) | 1.38734e6 | − | 1.00796e6i | 0.120293 | − | 0.0873983i | ||||
\(669\) | 1.39907e6 | + | 1.68578e7i | 0.120857 | + | 1.45624i | ||||
\(670\) | − | 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 | ||||
\(675\) | −4.10165e6 | + | 2.58622e6i | −0.346496 | + | 0.218477i | ||||
\(676\) | −2.26802e6 | − | 6.98025e6i | −0.190889 | − | 0.587495i | ||||
\(677\) | 2.61432e6 | + | 8.04604e6i | 0.219223 | + | 0.674699i | 0.998827 | + | 0.0484262i | \(0.0154206\pi\) |
−0.779604 | + | 0.626273i | \(0.784579\pi\) | |||||||
\(678\) | 1.68681e6 | − | 7.16038e6i | 0.140926 | − | 0.598221i | ||||
\(679\) | −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 | \(-0.783676\pi\) | ||
0.777823 | − | 0.628484i | \(-0.216324\pi\) | |||||||
\(684\) | 9.19550e6 | − | 4.78453e6i | 0.751511 | − | 0.391020i | ||||
\(685\) | 5.50140e6 | − | 3.99700e6i | 0.447968 | − | 0.325468i | ||||
\(686\) | −3.77304e6 | + | 5.19314e6i | −0.306112 | + | 0.421327i | ||||
\(687\) | −1.12505e7 | − | 1.30595e7i | −0.909449 | − | 1.05568i | ||||
\(688\) | −318865. | + | 103606.i | −0.0256824 | + | 0.00834472i | ||||
\(689\) | −3.62566e6 | − | 2.63420e6i | −0.290964 | − | 0.211398i | ||||
\(690\) | −1.47451e6 | + | 2.42936e6i | −0.117903 | + | 0.194254i | ||||
\(691\) | 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 | ||||||||
\(693\) | 6.50920e6 | + | 39088.3i | 0.514866 | + | 0.00309181i | ||||
\(694\) | −1.19253e7 | −0.939879 | ||||||||
\(695\) | −3.02252e6 | + | 9.30235e6i | −0.237360 | + | 0.730518i | ||||
\(696\) | 9.88399e6 | − | 1.62846e7i | 0.773409 | − | 1.27425i | ||||
\(697\) | −667499. | − | 484967.i | −0.0520438 | − | 0.0378120i | ||||
\(698\) | −8.38318e6 | + | 2.72386e6i | −0.651284 | + | 0.211615i | ||||
\(699\) | −1.14578e7 | − | 1.33001e7i | −0.886966 | − | 1.02958i | ||||
\(700\) | −1.06085e6 | + | 1.46013e6i | −0.0818290 | + | 0.112628i | ||||
\(701\) | −1.05589e7 | + | 7.67151e6i | −0.811568 | + | 0.589639i | −0.914285 | − | 0.405072i | \(-0.867246\pi\) |
0.102717 | + | 0.994711i | \(0.467246\pi\) | |||||||
\(702\) | 1.23353e6 | − | 1.48224e6i | 0.0944725 | − | 0.113521i | ||||
\(703\) | − | 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 | ||||
\(708\) | −3.09475e6 | + | 1.31370e7i | −0.232029 | + | 0.984949i | ||||
\(709\) | 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 | ||||
\(711\) | 410505. | + | 2.45611e6i | 0.0304540 | + | 0.182211i | ||||
\(712\) | −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 | ||||||||
\(717\) | −1.49023e6 | − | 1.79562e7i | −0.108257 | − | 1.30442i | ||||
\(718\) | −1.05358e7 | + | 7.65469e6i | −0.762703 | + | 0.554136i | ||||
\(719\) | −1.49201e7 | + | 2.05358e7i | −1.07634 | + | 1.48146i | −0.212855 | + | 0.977084i | \(0.568276\pi\) |
−0.863486 | + | 0.504373i | \(0.831724\pi\) | |||||||
\(720\) | −457048. | + | 916235.i | −0.0328572 | + | 0.0658682i | ||||
\(721\) | −1.12162e7 | + | 3.64435e6i | −0.803538 | + | 0.261085i | ||||
\(722\) | −4.27522e6 | − | 3.10613e6i | −0.305222 | − | 0.221757i | ||||
\(723\) | 9.03708e6 | + | 5.48508e6i | 0.642958 | + | 0.390245i | ||||
\(724\) | −1.98134e6 | + | 6.09793e6i | −0.140479 | + | 0.432350i | ||||
\(725\) | −8.92843e6 | −0.630856 | ||||||||
\(726\) | −6.95035e6 | − | 4.49997e6i | −0.489401 | − | 0.316860i | ||||
\(727\) | 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 | ||||
\(729\) | 1.42250e7 | + | 1.88149e6i | 0.991366 | + | 0.131124i | ||||
\(730\) | 8.32609e6 | + | 6.04926e6i | 0.578274 | + | 0.420141i | ||||
\(731\) | −199857. | + | 64937.4i | −0.0138333 | + | 0.00449470i | ||||
\(732\) | −4.34653e6 | + | 3.74445e6i | −0.299823 | + | 0.258291i | ||||
\(733\) | −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 | ||||
\(735\) | 8.24180e6 | − | 684007.i | 0.562735 | − | 0.0467027i | ||||
\(736\) | − | 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 | ||||
\(741\) | 4.72979e6 | + | 1.11422e6i | 0.316444 | + | 0.0745462i | ||||
\(742\) | 1.97513e6 | + | 6.07884e6i | 0.131700 | + | 0.405332i | ||||
\(743\) | −2.14598e6 | − | 6.60464e6i | −0.142611 | − | 0.438912i | 0.854085 | − | 0.520134i | \(-0.174118\pi\) |
−0.996696 | + | 0.0812217i | \(0.974118\pi\) | |||||||
\(744\) | 7.23341e6 | + | 1.70401e6i | 0.479083 | + | 0.112860i | ||||
\(745\) | −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 | ||||||||
\(750\) | −9.69426e6 | + | 804550.i | −0.629306 | + | 0.0522276i | ||||
\(751\) | −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 | ||||
\(753\) | −4.18064e6 | + | 3.60154e6i | −0.268693 | + | 0.231473i | ||||
\(754\) | 3.37698e6 | − | 1.09725e6i | 0.216322 | − | 0.0702871i | ||||
\(755\) | −1.03660e7 | − | 7.53131e6i | −0.661823 | − | 0.480843i | ||||
\(756\) | 5.17687e6 | − | 1.31310e6i | 0.329430 | − | 0.0835588i | ||||
\(757\) | 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 | ||||||||
\(759\) | 7.40580e6 | + | 3.15706e6i | 0.466625 | + | 0.198920i | ||||
\(760\) | 1.51976e7 | 0.954420 | ||||||||
\(761\) | −1.67326e6 | + | 5.14975e6i | −0.104737 | + | 0.322348i | −0.989669 | − | 0.143373i | \(-0.954205\pi\) |
0.884932 | + | 0.465721i | \(0.154205\pi\) | |||||||
\(762\) | 1.22136e6 | + | 741309.i | 0.0762004 | + | 0.0462500i | ||||
\(763\) | 1.18697e7 | + | 8.62381e6i | 0.738119 | + | 0.536275i | ||||
\(764\) | 1.30613e7 | − | 4.24389e6i | 0.809570 | − | 0.263045i | ||||
\(765\) | −286466. | + | 574273.i | −0.0176978 | + | 0.0354785i | ||||
\(766\) | −7.92773e6 | + | 1.09116e7i | −0.488177 | + | 0.671918i | ||||
\(767\) | −5.11861e6 | + | 3.71889e6i | −0.314169 | + | 0.228257i | ||||
\(768\) | 1.25402e6 | + | 1.51101e7i | 0.0767189 | + | 0.924408i | ||||
\(769\) | − | 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 | 0.833900 | − | 0.551915i | \(-0.186103\pi\) |
−0.782592 | + | 0.622535i | \(0.786103\pi\) | |||||||
\(774\) | 451533. | + | 2.70159e6i | 0.0270918 | + | 0.162094i | ||||
\(775\) | −1.07633e6 | − | 3.31261e6i | −0.0643712 | − | 0.198114i | ||||
\(776\) | 6.79762e6 | + | 2.09209e7i | 0.405231 | + | 1.24717i | ||||
\(777\) | 2.78056e6 | − | 1.18033e7i | 0.165227 | − | 0.701376i | ||||
\(778\) | 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 | ||||||
\(783\) | 2.03085e7 | + | 1.69007e7i | 1.18378 | + | 0.985147i | ||||
\(784\) | −980261. | + | 712202.i | −0.0569576 | + | 0.0413821i | ||||
\(785\) | 2.48842e6 | − | 3.42502e6i | 0.144129 | − | 0.198376i | ||||
\(786\) | −733940. | − | 851953.i | −0.0423745 | − | 0.0491880i | ||||
\(787\) | 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 | ||||
\(789\) | 515698. | − | 849651.i | 0.0294919 | − | 0.0485901i | ||||
\(790\) | −448597. | + | 1.38064e6i | −0.0255734 | + | 0.0787068i | ||||
\(791\) | 9.55100e6 | 0.542760 | ||||||||
\(792\) | −1.62173e7 | − | 5.37720e6i | −0.918682 | − | 0.304609i | ||||
\(793\) | −2.68939e6 | −0.151870 | ||||||||
\(794\) | 179511. | − | 552477.i | 0.0101051 | − | 0.0311002i | ||||
\(795\) | 1.00867e7 | − | 1.66186e7i | 0.566020 | − | 0.932560i | ||||
\(796\) | −6.42202e6 | − | 4.66587e6i | −0.359244 | − | 0.261006i | ||||
\(797\) | 2.30052e7 | − | 7.47483e6i | 1.28286 | − | 0.416827i | 0.413274 | − | 0.910607i | \(-0.364385\pi\) |
0.869587 | + | 0.493780i | \(0.164385\pi\) | |||||||
\(798\) | −4.52332e6 | − | 5.25063e6i | −0.251449 | − | 0.291880i | ||||
\(799\) | 314488. | − | 432856.i | 0.0174276 | − | 0.0239870i | ||||
\(800\) | 6.14114e6 | − | 4.46180e6i | 0.339253 | − | 0.246482i | ||||
\(801\) | 7.94263e6 | − | 4.13264e6i | 0.437404 | − | 0.227586i | ||||
\(802\) | 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 | ||||
\(807\) | 3.12600e6 | − | 1.32697e7i | 0.168968 | − | 0.717259i | ||||
\(808\) | 5.51765e6 | + | 1.69816e7i | 0.297321 | + | 0.915061i | ||||
\(809\) | −246139. | − | 757538.i | −0.0132224 | − | 0.0406943i | 0.944228 | − | 0.329293i | \(-0.106811\pi\) |
−0.957450 | + | 0.288599i | \(0.906811\pi\) | |||||||
\(810\) | 6.85020e6 | + | 4.80067e6i | 0.366852 | + | 0.257092i | ||||
\(811\) | −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 | ||||||
\(816\) | −7776.61 | − | 93702.6i | −0.000408851 | − | 0.00492636i | ||||
\(817\) | −5.58392e6 | + | 4.05695e6i | −0.292674 | + | 0.212640i | ||||
\(818\) | 6.88603e6 | − | 9.47781e6i | 0.359820 | − | 0.495250i | ||||
\(819\) | 2.24039e6 | + | 1.11758e6i | 0.116712 | + | 0.0582195i | ||||
\(820\) | 1.15788e7 | − | 3.76218e6i | 0.601353 | − | 0.195391i | ||||
\(821\) | 1.58590e6 | + | 1.15223e6i | 0.0821142 | + | 0.0596595i | 0.628085 | − | 0.778145i | \(-0.283839\pi\) |
−0.545971 | + | 0.837804i | \(0.683839\pi\) | |||||||
\(822\) | 6.95799e6 | + | 4.22317e6i | 0.359173 | + | 0.218001i | ||||
\(823\) | −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 | ||||||||
\(825\) | 1.78937e6 | + | 7.80546e6i | 0.0915302 | + | 0.399267i | ||||
\(826\) | 9.02357e6 | 0.460180 | ||||||||
\(827\) | −4.67871e6 | + | 1.43996e7i | −0.237882 | + | 0.732127i | 0.758844 | + | 0.651273i | \(0.225765\pi\) |
−0.996726 | + | 0.0808538i | \(0.974235\pi\) | |||||||
\(828\) | 6.53270e6 | + | 977662.i | 0.331144 | + | 0.0495579i | ||||
\(829\) | 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 | ||||
\(831\) | 497965. | − | 428987.i | 0.0250148 | − | 0.0215497i | ||||
\(832\) | −1.48961e6 | + | 2.05027e6i | −0.0746044 | + | 0.102684i | ||||
\(833\) | −614403. | + | 446390.i | −0.0306790 | + | 0.0222896i | ||||
\(834\) | −1.16673e7 | + | 968295.i | −0.580837 | + | 0.0482051i | ||||
\(835\) | 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 | 0.799369 | − | 0.600841i | \(-0.205167\pi\) |
−0.818452 | + | 0.574575i | \(0.805167\pi\) | |||||||
\(840\) | 7.62169e6 | + | 1.79548e6i | 0.372695 | + | 0.0877975i | ||||
\(841\) | 8.69526e6 | + | 2.67613e7i | 0.423928 | + | 1.30472i | ||||
\(842\) | 1.51408e6 | + | 4.65987e6i | 0.0735986 | + | 0.226513i | ||||
\(843\) | 2.18238e7 | + | 5.14114e6i | 1.05770 | + | 0.249167i | ||||
\(844\) | 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 | ||||||||
\(849\) | −3.58686e7 | + | 2.97682e6i | −1.70783 | + | 0.141737i | ||||
\(850\) | 210004. | − | 152577.i | 0.00996967 | − | 0.00724339i | ||||
\(851\) | 8.81548e6 | − | 1.21335e7i | 0.417275 | − | 0.574329i | ||||
\(852\) | −1.29392e7 | + | 1.11469e7i | −0.610673 | + | 0.526083i | ||||
\(853\) | 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 | ||||
\(855\) | −3.11979e6 | + | 2.08464e7i | −0.145952 | + | 0.975247i | ||||
\(856\) | 5.27767e6 | − | 1.62430e7i | 0.246183 | − | 0.757673i | ||||
\(857\) | −3.82449e7 | −1.77878 | −0.889388 | − | 0.457153i | \(-0.848869\pi\) | ||||
−0.889388 | + | 0.457153i | \(0.848869\pi\) | |||||||
\(858\) | −1.63603e6 | − | 2.73234e6i | −0.0758704 | − | 0.126711i | ||||
\(859\) | −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 | ||||
\(861\) | −1.19361e7 | − | 7.24466e6i | −0.548726 | − | 0.333050i | ||||
\(862\) | −1.91060e7 | − | 1.38814e7i | −0.875795 | − | 0.636303i | ||||
\(863\) | 2.31052e6 | − | 750733.i | 0.105605 | − | 0.0343130i | −0.255738 | − | 0.966746i | \(-0.582318\pi\) |
0.361343 | + | 0.932433i | \(0.382318\pi\) | |||||||
\(864\) | −2.24143e7 | − | 1.47590e6i | −1.02151 | − | 0.0672624i | ||||
\(865\) | −1.85239e6 | + | 2.54959e6i | −0.0841767 | + | 0.115859i | ||||
\(866\) | 3.85070e6 | − | 2.79770e6i | 0.174480 | − | 0.126767i | ||||
\(867\) | 1.82573e6 | + | 2.19988e7i | 0.0824878 | + | 0.993920i | ||||
\(868\) | 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 | ||||
\(873\) | −3.00925e7 | + | 5.02953e6i | −1.33636 | + | 0.223353i | ||||
\(874\) | −2.64870e6 | − | 8.15185e6i | −0.117288 | − | 0.360975i | ||||
\(875\) | −3.90276e6 | − | 1.20115e7i | −0.172327 | − | 0.530366i | ||||
\(876\) | 5.48516e6 | − | 2.32841e7i | 0.241506 | − | 1.02518i | ||||
\(877\) | 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 | \(0.0709453\pi\) | ||||
−0.975265 | + | 0.221040i | \(0.929055\pi\) | |||||||
\(882\) | 4.56903e6 | + | 8.78133e6i | 0.197766 | + | 0.380092i | ||||
\(883\) | −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 | ||||
\(885\) | −1.79129e7 | − | 2.07932e7i | −0.768791 | − | 0.892408i | ||||
\(886\) | 1.54128e7 | − | 5.00793e6i | 0.659626 | − | 0.214325i | ||||
\(887\) | 8.18751e6 | + | 5.94858e6i | 0.349416 | + | 0.253866i | 0.748624 | − | 0.662995i | \(-0.230715\pi\) |
−0.399208 | + | 0.916860i | \(0.630715\pi\) | |||||||
\(888\) | −1.65148e7 | + | 2.72094e7i | −0.702816 | + | 1.15794i | ||||
\(889\) | −573214. | + | 1.76417e6i | −0.0243255 | + | 0.0748663i | ||||
\(890\) | 5.21954e6 | 0.220880 | ||||||||
\(891\) | 1.07050e7 | − | 2.11413e7i | 0.451743 | − | 0.892148i | ||||
\(892\) | 2.29212e7 | 0.964551 | ||||||||
\(893\) | 5.43046e6 | − | 1.67132e7i | 0.227881 | − | 0.701345i | ||||
\(894\) | 1.22868e7 | − | 2.02434e7i | 0.514155 | − | 0.847109i | ||||
\(895\) | −2.35248e6 | − | 1.70918e6i | −0.0981678 | − | 0.0713231i | ||||
\(896\) | −8.60894e6 | + | 2.79721e6i | −0.358245 | + | 0.116401i | ||||
\(897\) | 2.02104e6 | + | 2.34601e6i | 0.0838674 | + | 0.0973527i | ||||
\(898\) | 1.16759e7 | − | 1.60705e7i | 0.483169 | − | 0.665026i | ||||
\(899\) | −1.53541e7 | + | 1.11554e7i | −0.633616 | + | 0.460349i | ||||
\(900\) | 3.03271e6 | + | 5.82863e6i | 0.124803 | + | 0.239862i | ||||
\(901\) | 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 | ||||
\(906\) | 3.51662e6 | − | 1.49278e7i | 0.142333 | − | 0.604194i | ||||
\(907\) | −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 | ||||
\(909\) | −2.44262e7 | + | 4.08250e6i | −0.980496 | + | 0.163876i | ||||
\(910\) | 857901. | + | 1.18080e6i | 0.0343426 | + | 0.0472686i | ||||
\(911\) | 1.46919e7 | + | 4.77369e6i | 0.586519 | + | 0.190572i | 0.587219 | − | 0.809428i | \(-0.300223\pi\) |
−0.000699740 | 1.00000i | \(0.500223\pi\) | ||||||||
\(912\) | −1.19397e6 | − | 2.84810e6i | −0.0475342 | − | 0.113388i | ||||
\(913\) | 8.27686e6 | + | 1.68450e7i | 0.328616 | + | 0.668795i | ||||
\(914\) | 9.55188e6i | 0.378201i | ||||||||
\(915\) | −964876. | − | 1.16261e7i | −0.0380994 | − | 0.459072i | ||||
\(916\) | −1.88961e7 | + | 1.37288e7i | −0.744104 | + | 0.540623i | ||||
\(917\) | 858146. | − | 1.18114e6i | 0.0337006 | − | 0.0463849i | ||||
\(918\) | −766487. | − | 50470.3i | −0.0300191 | − | 0.00197665i | ||||
\(919\) | 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 | ||||
\(921\) | 1.28307e7 | + | 7.78763e6i | 0.498427 | + | 0.302521i | ||||
\(922\) | 7.52906e6 | − | 2.31721e7i | 0.291685 | − | 0.897713i | ||||
\(923\) | −8.00607e6 | −0.309325 | ||||||||
\(924\) | 782280. | − | 8.78553e6i | 0.0301427 | − | 0.338523i | ||||
\(925\) | 1.49182e7 | 0.573275 | ||||||||
\(926\) | 549778. | − | 1.69204e6i | 0.0210698 | − | 0.0648461i | ||||
\(927\) | −6.35452e6 | + | 4.24607e7i | −0.242875 | + | 1.62289i | ||||
\(928\) | −3.34621e7 | − | 2.43116e7i | −1.27551 | − | 0.926710i | ||||
\(929\) | 8.01236e6 | − | 2.60337e6i | 0.304594 | − | 0.0989686i | −0.152732 | − | 0.988268i | \(-0.548807\pi\) |
0.457326 | + | 0.889299i | \(0.348807\pi\) | |||||||
\(930\) | −4.55237e6 | + | 3.92177e6i | −0.172596 | + | 0.148688i | ||||
\(931\) | −1.46617e7 | + | 2.01801e7i | −0.554382 | + | 0.763042i | ||||
\(932\) | −1.92443e7 | + | 1.39818e7i | −0.725709 | + | 0.527258i | ||||
\(933\) | −1.49840e6 | + | 124356.i | −0.0563540 | + | 0.00467696i | ||||
\(934\) | 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 | ||||
\(939\) | −1.56852e7 | − | 3.69504e6i | −0.580532 | − | 0.136759i | ||||
\(940\) | 2.43968e6 | + | 7.50855e6i | 0.0900560 | + | 0.277164i | ||||
\(941\) | 3.73981e6 | + | 1.15100e7i | 0.137682 | + | 0.423740i | 0.995997 | − | 0.0893812i | \(-0.0284890\pi\) |
−0.858316 | + | 0.513122i | \(0.828489\pi\) | |||||||
\(942\) | 4.93232e6 | + | 1.16193e6i | 0.181102 | + | 0.0426631i | ||||
\(943\) | −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 | \(-0.957378\pi\) | ||
0.991049 | − | 0.133501i | \(-0.0426219\pi\) | |||||||
\(948\) | 3.36270e6 | − | 279078.i | 0.121525 | − | 0.0100857i | ||||
\(949\) | 9.07225e6 | − | 6.59137e6i | 0.327001 | − | 0.237580i | ||||
\(950\) | 5.01139e6 | − | 6.89759e6i | 0.180156 | − | 0.247964i | ||||
\(951\) | 2.82522e7 | − | 2.43387e7i | 1.01298 | − | 0.872663i | ||||
\(952\) | −683863. | + | 222200.i | −0.0244555 | + | 0.00794607i | ||||
\(953\) | 9.20112e6 | + | 6.68500e6i | 0.328177 | + | 0.238435i | 0.739657 | − | 0.672984i | \(-0.234988\pi\) |
−0.411480 | + | 0.911419i | \(0.634988\pi\) | |||||||
\(954\) | 2.30125e7 | + | 3.44397e6i | 0.818639 | + | 0.122515i | ||||
\(955\) | −8.62984e6 | + | 2.65599e7i | −0.306192 | + | 0.942363i | ||||
\(956\) | −2.44148e7 | −0.863988 | ||||||||
\(957\) | 3.74362e7 | − | 2.24155e7i | 1.32133 | − | 0.791167i | ||||
\(958\) | −5.23503e6 | −0.184292 | ||||||||
\(959\) | −3.26555e6 | + | 1.00503e7i | −0.114659 | + | 0.352885i | ||||
\(960\) | −9.39764e6 | − | 5.70392e6i | −0.329110 | − | 0.199754i | ||||
\(961\) | 1.71716e7 | + | 1.24759e7i | 0.599796 | + | 0.435777i | ||||
\(962\) | −5.64248e6 | + | 1.83335e6i | −0.196577 | + | 0.0638716i | ||||
\(963\) | 2.11970e7 | + | 1.05737e7i | 0.736560 | + | 0.367420i | ||||
\(964\) | 8.41975e6 | − | 1.15888e7i | 0.291814 | − | 0.401648i | ||||
\(965\) | 2.00596e7 | − | 1.45742e7i | 0.693433 | − | 0.503808i | ||||
\(966\) | −365261. | − | 4.40114e6i | −0.0125939 | − | 0.151748i | ||||
\(967\) | 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 | 0.991937 | − | 0.126730i | \(-0.0404481\pi\) |
−0.427053 | + | 0.904227i | \(0.640448\pi\) | |||||||
\(972\) | 4.13494e6 | − | 1.89984e7i | 0.140380 | − | 0.644986i | ||||
\(973\) | −4.69707e6 | − | 1.44561e7i | −0.159054 | − | 0.489518i | ||||
\(974\) | −5.25333e6 | − | 1.61681e7i | −0.177434 | − | 0.546086i | ||||
\(975\) | −706256. | + | 2.99801e6i | −0.0237931 | + | 0.101000i | ||||
\(976\) | 1.00465e6 | + | 1.38278e6i | 0.0337590 | + | 0.0464652i | ||||
\(977\) | 1.75763e7 | + | 5.71087e6i | 0.589101 | + | 0.191411i | 0.588374 | − | 0.808589i | \(-0.299768\pi\) |
0.000727619 | 1.00000i | \(0.499768\pi\) | ||||||||
\(978\) | 981364. | − | 411404.i | 0.0328082 | − | 0.0137538i | ||||
\(979\) | −2.10067e6 | − | 1.46365e7i | −0.0700488 | − | 0.488069i | ||||
\(980\) | − | 1.12062e7i | − | 0.372731i | ||||||
\(981\) | 4.73820e7 | − | 2.46534e7i | 1.57196 | − | 0.817908i | ||||
\(982\) | −1.02955e6 | + | 748010.i | −0.0340697 | + | 0.0247531i | ||||
\(983\) | −1.57361e7 | + | 2.16588e7i | −0.519412 | + | 0.714909i | −0.985471 | − | 0.169844i | \(-0.945673\pi\) |
0.466059 | + | 0.884754i | \(0.345673\pi\) | |||||||
\(984\) | 2.39201e7 | + | 2.77663e7i | 0.787546 | + | 0.914178i | ||||
\(985\) | −1.69238e7 | + | 5.49887e6i | −0.555785 | + | 0.180585i | ||||
\(986\) | −1.14428e6 | − | 831368.i | −0.0374835 | − | 0.0272333i | ||||
\(987\) | 4.69797e6 | − | 7.74025e6i | 0.153503 | − | 0.252908i | ||||
\(988\) | 2.03470e6 | − | 6.26216e6i | 0.0663143 | − | 0.204095i | ||||
\(989\) | −4.39828e6 | −0.142986 | ||||||||
\(990\) | 1.12248e7 | − | 8.05273e6i | 0.363990 | − | 0.261129i | ||||
\(991\) | 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 | ||||
\(993\) | 7.08361e6 | − | 1.16708e7i | 0.227972 | − | 0.375601i | ||||
\(994\) | 9.23764e6 | + | 6.71154e6i | 0.296548 | + | 0.215455i | ||||
\(995\) | 1.53518e7 | − | 4.98810e6i | 0.491588 | − | 0.159727i | ||||
\(996\) | 1.00509e7 | + | 1.16670e7i | 0.321039 | + | 0.372659i | ||||
\(997\) | −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 | ||||
\(999\) | −3.39327e7 | − | 2.82389e7i | −1.07573 | − | 0.895228i |
(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.2.8 | ✓ | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.11 | yes | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.11 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.8 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.8 | ✓ | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.2.11 | yes | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.17.8 | yes | 72 | 33.17 | even | 10 | inner | |
33.6.f.a.17.11 | yes | 72 | 11.6 | odd | 10 | inner |