Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,3,Mod(557,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.557");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.s (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(24.0327593166\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 557.3 | ||
Root | \(0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.557 |
Dual form | 882.3.s.g.863.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | − | 0.707107i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | − | 1.73205i | 0.250000 | − | 0.433013i | ||||
\(5\) | −3.46410 | + | 2.00000i | −0.692820 | + | 0.400000i | −0.804668 | − | 0.593725i | \(-0.797657\pi\) |
0.111847 | + | 0.993725i | \(0.464323\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.82843 | + | 4.89898i | −0.282843 | + | 0.489898i | ||||
\(11\) | 2.44949 | + | 1.41421i | 0.222681 | + | 0.128565i | 0.607191 | − | 0.794556i | \(-0.292296\pi\) |
−0.384510 | + | 0.923121i | \(0.625630\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −12.7279 | −0.979071 | −0.489535 | − | 0.871983i | \(-0.662834\pi\) | ||||
−0.489535 | + | 0.871983i | \(0.662834\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.46410 | + | 2.00000i | 0.203771 | + | 0.117647i | 0.598413 | − | 0.801188i | \(-0.295798\pi\) |
−0.394642 | + | 0.918835i | \(0.629132\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 11.3137 | + | 19.5959i | 0.595458 | + | 1.03136i | 0.993482 | + | 0.113989i | \(0.0363629\pi\) |
−0.398024 | + | 0.917375i | \(0.630304\pi\) | |||||||
\(20\) | 8.00000i | 0.400000i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.00000 | 0.181818 | ||||||||
\(23\) | 31.8434 | − | 18.3848i | 1.38449 | − | 0.799338i | 0.391806 | − | 0.920048i | \(-0.371850\pi\) |
0.992688 | + | 0.120710i | \(0.0385170\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.50000 | + | 7.79423i | −0.180000 | + | 0.311769i | ||||
\(26\) | −15.5885 | + | 9.00000i | −0.599556 | + | 0.346154i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 32.5269i | 1.12162i | 0.827945 | + | 0.560809i | \(0.189510\pi\) | ||||
−0.827945 | + | 0.560809i | \(0.810490\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −25.4558 | + | 44.0908i | −0.821156 | + | 1.42228i | 0.0836655 | + | 0.996494i | \(0.473337\pi\) |
−0.904822 | + | 0.425790i | \(0.859996\pi\) | |||||||
\(32\) | −4.89898 | − | 2.82843i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.65685 | 0.166378 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 16.0000 | + | 27.7128i | 0.432432 | + | 0.748995i | 0.997082 | − | 0.0763357i | \(-0.0243221\pi\) |
−0.564650 | + | 0.825331i | \(0.690989\pi\) | |||||||
\(38\) | 27.7128 | + | 16.0000i | 0.729285 | + | 0.421053i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.65685 | + | 9.79796i | 0.141421 | + | 0.244949i | ||||
\(41\) | 38.0000i | 0.926829i | 0.886142 | + | 0.463415i | \(0.153376\pi\) | ||||
−0.886142 | + | 0.463415i | \(0.846624\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 20.0000 | 0.465116 | 0.232558 | − | 0.972582i | \(-0.425290\pi\) | ||||
0.232558 | + | 0.972582i | \(0.425290\pi\) | |||||||
\(44\) | 4.89898 | − | 2.82843i | 0.111340 | − | 0.0642824i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 26.0000 | − | 45.0333i | 0.565217 | − | 0.978985i | ||||
\(47\) | 17.3205 | − | 10.0000i | 0.368521 | − | 0.212766i | −0.304291 | − | 0.952579i | \(-0.598419\pi\) |
0.672812 | + | 0.739813i | \(0.265086\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 12.7279i | 0.254558i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −12.7279 | + | 22.0454i | −0.244768 | + | 0.423950i | ||||
\(53\) | −82.0579 | − | 47.3762i | −1.54826 | − | 0.893890i | −0.998275 | − | 0.0587170i | \(-0.981299\pi\) |
−0.549988 | − | 0.835173i | \(-0.685368\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.3137 | −0.205704 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 23.0000 | + | 39.8372i | 0.396552 | + | 0.686848i | ||||
\(59\) | 3.46410 | + | 2.00000i | 0.0587136 | + | 0.0338983i | 0.529069 | − | 0.848579i | \(-0.322541\pi\) |
−0.470356 | + | 0.882477i | \(0.655874\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 41.7193 | + | 72.2599i | 0.683923 | + | 1.18459i | 0.973774 | + | 0.227518i | \(0.0730609\pi\) |
−0.289851 | + | 0.957072i | \(0.593606\pi\) | |||||||
\(62\) | 72.0000i | 1.16129i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 44.0908 | − | 25.4558i | 0.678320 | − | 0.391628i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 24.0000 | − | 41.5692i | 0.358209 | − | 0.620436i | −0.629453 | − | 0.777039i | \(-0.716721\pi\) |
0.987662 | + | 0.156603i | \(0.0500542\pi\) | |||||||
\(68\) | 6.92820 | − | 4.00000i | 0.101885 | − | 0.0588235i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 76.3675i | 1.07560i | 0.843073 | + | 0.537800i | \(0.180744\pi\) | ||||
−0.843073 | + | 0.537800i | \(0.819256\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −60.1041 | + | 104.103i | −0.823344 | + | 1.42607i | 0.0798352 | + | 0.996808i | \(0.474561\pi\) |
−0.903179 | + | 0.429265i | \(0.858773\pi\) | |||||||
\(74\) | 39.1918 | + | 22.6274i | 0.529619 | + | 0.305776i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 45.2548 | 0.595458 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 74.0000 | + | 128.172i | 0.936709 | + | 1.62243i | 0.771558 | + | 0.636159i | \(0.219478\pi\) |
0.165151 | + | 0.986268i | \(0.447189\pi\) | |||||||
\(80\) | 13.8564 | + | 8.00000i | 0.173205 | + | 0.100000i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 26.8701 | + | 46.5403i | 0.327684 | + | 0.567565i | ||||
\(83\) | − | 80.0000i | − | 0.963855i | −0.876211 | − | 0.481928i | \(-0.839937\pi\) | ||
0.876211 | − | 0.481928i | \(-0.160063\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −16.0000 | −0.188235 | ||||||||
\(86\) | 24.4949 | − | 14.1421i | 0.284824 | − | 0.164443i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.00000 | − | 6.92820i | 0.0454545 | − | 0.0787296i | ||||
\(89\) | 91.7987 | − | 53.0000i | 1.03145 | − | 0.595506i | 0.114047 | − | 0.993475i | \(-0.463618\pi\) |
0.917399 | + | 0.397970i | \(0.130285\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 73.5391i | − | 0.799338i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 14.1421 | − | 24.4949i | 0.150448 | − | 0.260584i | ||||
\(95\) | −78.3837 | − | 45.2548i | −0.825091 | − | 0.476367i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −154.149 | −1.58917 | −0.794584 | − | 0.607154i | \(-0.792311\pi\) | ||||
−0.794584 | + | 0.607154i | \(0.792311\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.00000 | + | 15.5885i | 0.0900000 | + | 0.155885i | ||||
\(101\) | 109.119 | + | 63.0000i | 1.08039 | + | 0.623762i | 0.931001 | − | 0.365016i | \(-0.118937\pi\) |
0.149387 | + | 0.988779i | \(0.452270\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −36.7696 | − | 63.6867i | −0.356986 | − | 0.618318i | 0.630470 | − | 0.776214i | \(-0.282862\pi\) |
−0.987456 | + | 0.157896i | \(0.949529\pi\) | |||||||
\(104\) | 36.0000i | 0.346154i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −134.000 | −1.26415 | ||||||||
\(107\) | 61.2372 | − | 35.3553i | 0.572311 | − | 0.330424i | −0.185761 | − | 0.982595i | \(-0.559475\pi\) |
0.758072 | + | 0.652171i | \(0.226142\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 43.0000 | − | 74.4782i | 0.394495 | − | 0.683286i | −0.598541 | − | 0.801092i | \(-0.704253\pi\) |
0.993037 | + | 0.117806i | \(0.0375861\pi\) | |||||||
\(110\) | −13.8564 | + | 8.00000i | −0.125967 | + | 0.0727273i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 21.2132i | − | 0.187727i | −0.995585 | − | 0.0938637i | \(-0.970078\pi\) | ||
0.995585 | − | 0.0938637i | \(-0.0299218\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −73.5391 | + | 127.373i | −0.639470 | + | 1.10760i | ||||
\(116\) | 56.3383 | + | 32.5269i | 0.485675 | + | 0.280404i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.65685 | 0.0479394 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −56.5000 | − | 97.8609i | −0.466942 | − | 0.808768i | ||||
\(122\) | 102.191 | + | 59.0000i | 0.837631 | + | 0.483607i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 50.9117 | + | 88.1816i | 0.410578 | + | 0.711142i | ||||
\(125\) | − | 136.000i | − | 1.08800i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.00000 | 0.0314961 | 0.0157480 | − | 0.999876i | \(-0.494987\pi\) | ||||
0.0157480 | + | 0.999876i | \(0.494987\pi\) | |||||||
\(128\) | −9.79796 | + | 5.65685i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 36.0000 | − | 62.3538i | 0.276923 | − | 0.479645i | ||||
\(131\) | 20.7846 | − | 12.0000i | 0.158661 | − | 0.0916031i | −0.418567 | − | 0.908186i | \(-0.637468\pi\) |
0.577228 | + | 0.816583i | \(0.304134\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 67.8823i | − | 0.506584i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.65685 | − | 9.79796i | 0.0415945 | − | 0.0720438i | ||||
\(137\) | −62.4620 | − | 36.0624i | −0.455927 | − | 0.263230i | 0.254403 | − | 0.967098i | \(-0.418121\pi\) |
−0.710330 | + | 0.703869i | \(0.751454\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −141.421 | −1.01742 | −0.508710 | − | 0.860938i | \(-0.669877\pi\) | ||||
−0.508710 | + | 0.860938i | \(0.669877\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 54.0000 | + | 93.5307i | 0.380282 | + | 0.658667i | ||||
\(143\) | −31.1769 | − | 18.0000i | −0.218020 | − | 0.125874i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −65.0538 | − | 112.677i | −0.448647 | − | 0.777080i | ||||
\(146\) | 170.000i | 1.16438i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 64.0000 | 0.432432 | ||||||||
\(149\) | 23.2702 | − | 13.4350i | 0.156176 | − | 0.0901680i | −0.419876 | − | 0.907582i | \(-0.637926\pi\) |
0.576051 | + | 0.817414i | \(0.304593\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −76.0000 | + | 131.636i | −0.503311 | + | 0.871761i | 0.496681 | + | 0.867933i | \(0.334552\pi\) |
−0.999993 | + | 0.00382774i | \(0.998782\pi\) | |||||||
\(152\) | 55.4256 | − | 32.0000i | 0.364642 | − | 0.210526i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 203.647i | − | 1.31385i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 47.3762 | − | 82.0579i | 0.301759 | − | 0.522662i | −0.674776 | − | 0.738023i | \(-0.735760\pi\) |
0.976534 | + | 0.215361i | \(0.0690929\pi\) | |||||||
\(158\) | 181.262 | + | 104.652i | 1.14723 | + | 0.662353i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 22.6274 | 0.141421 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 76.0000 | + | 131.636i | 0.466258 | + | 0.807582i | 0.999257 | − | 0.0385335i | \(-0.0122686\pi\) |
−0.533000 | + | 0.846115i | \(0.678935\pi\) | |||||||
\(164\) | 65.8179 | + | 38.0000i | 0.401329 | + | 0.231707i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −56.5685 | − | 97.9796i | −0.340774 | − | 0.590238i | ||||
\(167\) | − | 116.000i | − | 0.694611i | −0.937752 | − | 0.347305i | \(-0.887097\pi\) | ||
0.937752 | − | 0.347305i | \(-0.112903\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.00000 | −0.0414201 | ||||||||
\(170\) | −19.5959 | + | 11.3137i | −0.115270 | + | 0.0665512i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 20.0000 | − | 34.6410i | 0.116279 | − | 0.201401i | ||||
\(173\) | 192.258 | − | 111.000i | 1.11132 | − | 0.641618i | 0.172146 | − | 0.985071i | \(-0.444930\pi\) |
0.939170 | + | 0.343453i | \(0.111597\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 11.3137i | − | 0.0642824i | ||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 74.9533 | − | 129.823i | 0.421086 | − | 0.729342i | ||||
\(179\) | −51.4393 | − | 29.6985i | −0.287370 | − | 0.165913i | 0.349385 | − | 0.936979i | \(-0.386391\pi\) |
−0.636755 | + | 0.771066i | \(0.719724\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −80.6102 | −0.445360 | −0.222680 | − | 0.974892i | \(-0.571481\pi\) | ||||
−0.222680 | + | 0.974892i | \(0.571481\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −52.0000 | − | 90.0666i | −0.282609 | − | 0.489493i | ||||
\(185\) | −110.851 | − | 64.0000i | −0.599196 | − | 0.345946i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.65685 | + | 9.79796i | 0.0302506 | + | 0.0523955i | ||||
\(188\) | − | 40.0000i | − | 0.212766i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −128.000 | −0.673684 | ||||||||
\(191\) | −262.095 | + | 151.321i | −1.37223 | + | 0.792256i | −0.991208 | − | 0.132311i | \(-0.957760\pi\) |
−0.381019 | + | 0.924567i | \(0.624427\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −109.000 | + | 188.794i | −0.564767 | + | 0.978205i | 0.432304 | + | 0.901728i | \(0.357701\pi\) |
−0.997071 | + | 0.0764772i | \(0.975633\pi\) | |||||||
\(194\) | −188.794 | + | 109.000i | −0.973163 | + | 0.561856i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 287.085i | 1.45729i | 0.684894 | + | 0.728643i | \(0.259849\pi\) | ||||
−0.684894 | + | 0.728643i | \(0.740151\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −33.9411 | + | 58.7878i | −0.170558 | + | 0.295416i | −0.938615 | − | 0.344966i | \(-0.887890\pi\) |
0.768057 | + | 0.640382i | \(0.221224\pi\) | |||||||
\(200\) | 22.0454 | + | 12.7279i | 0.110227 | + | 0.0636396i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 178.191 | 0.882133 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −76.0000 | − | 131.636i | −0.370732 | − | 0.642126i | ||||
\(206\) | −90.0666 | − | 52.0000i | −0.437217 | − | 0.252427i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 25.4558 | + | 44.0908i | 0.122384 | + | 0.211975i | ||||
\(209\) | 64.0000i | 0.306220i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 132.000 | 0.625592 | 0.312796 | − | 0.949820i | \(-0.398734\pi\) | ||||
0.312796 | + | 0.949820i | \(0.398734\pi\) | |||||||
\(212\) | −164.116 | + | 94.7523i | −0.774131 | + | 0.446945i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 50.0000 | − | 86.6025i | 0.233645 | − | 0.404685i | ||||
\(215\) | −69.2820 | + | 40.0000i | −0.322242 | + | 0.186047i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 121.622i | − | 0.557901i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.3137 | + | 19.5959i | −0.0514259 | + | 0.0890724i | ||||
\(221\) | −44.0908 | − | 25.4558i | −0.199506 | − | 0.115185i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 169.706 | 0.761012 | 0.380506 | − | 0.924778i | \(-0.375750\pi\) | ||||
0.380506 | + | 0.924778i | \(0.375750\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.0000 | − | 25.9808i | −0.0663717 | − | 0.114959i | ||||
\(227\) | −259.808 | − | 150.000i | −1.14453 | − | 0.660793i | −0.196979 | − | 0.980408i | \(-0.563113\pi\) |
−0.947548 | + | 0.319615i | \(0.896447\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −125.158 | − | 216.780i | −0.546541 | − | 0.946637i | −0.998508 | − | 0.0546023i | \(-0.982611\pi\) |
0.451967 | − | 0.892035i | \(-0.350722\pi\) | |||||||
\(230\) | 208.000i | 0.904348i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 92.0000 | 0.396552 | ||||||||
\(233\) | 25.7196 | − | 14.8492i | 0.110385 | − | 0.0637307i | −0.443791 | − | 0.896130i | \(-0.646367\pi\) |
0.554176 | + | 0.832400i | \(0.313033\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −40.0000 | + | 69.2820i | −0.170213 | + | 0.294817i | ||||
\(236\) | 6.92820 | − | 4.00000i | 0.0293568 | − | 0.0169492i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 161.220i | 0.674562i | 0.941404 | + | 0.337281i | \(0.109507\pi\) | ||||
−0.941404 | + | 0.337281i | \(0.890493\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 188.798 | − | 327.007i | 0.783392 | − | 1.35688i | −0.146563 | − | 0.989201i | \(-0.546821\pi\) |
0.929955 | − | 0.367674i | \(-0.119846\pi\) | |||||||
\(242\) | −138.396 | − | 79.9031i | −0.571885 | − | 0.330178i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 166.877 | 0.683923 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −144.000 | − | 249.415i | −0.582996 | − | 1.00978i | ||||
\(248\) | 124.708 | + | 72.0000i | 0.502853 | + | 0.290323i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −96.1665 | − | 166.565i | −0.384666 | − | 0.666261i | ||||
\(251\) | − | 476.000i | − | 1.89641i | −0.317653 | − | 0.948207i | \(-0.602895\pi\) | ||
0.317653 | − | 0.948207i | \(-0.397105\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 104.000 | 0.411067 | ||||||||
\(254\) | 4.89898 | − | 2.82843i | 0.0192873 | − | 0.0111355i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −88.3346 | + | 51.0000i | −0.343714 | + | 0.198444i | −0.661913 | − | 0.749580i | \(-0.730255\pi\) |
0.318199 | + | 0.948024i | \(0.396922\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 101.823i | − | 0.391628i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.9706 | − | 29.3939i | 0.0647731 | − | 0.112190i | ||||
\(263\) | 315.984 | + | 182.434i | 1.20146 | + | 0.693664i | 0.960880 | − | 0.276965i | \(-0.0893287\pi\) |
0.240581 | + | 0.970629i | \(0.422662\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 379.009 | 1.43022 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −48.0000 | − | 83.1384i | −0.179104 | − | 0.310218i | ||||
\(269\) | −169.741 | − | 98.0000i | −0.631007 | − | 0.364312i | 0.150135 | − | 0.988666i | \(-0.452029\pi\) |
−0.781142 | + | 0.624353i | \(0.785363\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 87.6812 | + | 151.868i | 0.323547 | + | 0.560400i | 0.981217 | − | 0.192906i | \(-0.0617913\pi\) |
−0.657670 | + | 0.753306i | \(0.728458\pi\) | |||||||
\(272\) | − | 16.0000i | − | 0.0588235i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −102.000 | −0.372263 | ||||||||
\(275\) | −22.0454 | + | 12.7279i | −0.0801651 | + | 0.0462834i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −128.000 | + | 221.703i | −0.462094 | + | 0.800370i | −0.999065 | − | 0.0432305i | \(-0.986235\pi\) |
0.536971 | + | 0.843601i | \(0.319568\pi\) | |||||||
\(278\) | −173.205 | + | 100.000i | −0.623040 | + | 0.359712i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 26.8701i | 0.0956230i | 0.998856 | + | 0.0478115i | \(0.0152247\pi\) | ||||
−0.998856 | + | 0.0478115i | \(0.984775\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 251.730 | − | 436.009i | 0.889505 | − | 1.54067i | 0.0490442 | − | 0.998797i | \(-0.484382\pi\) |
0.840461 | − | 0.541872i | \(-0.182284\pi\) | |||||||
\(284\) | 132.272 | + | 76.3675i | 0.465748 | + | 0.268900i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −50.9117 | −0.178013 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −136.500 | − | 236.425i | −0.472318 | − | 0.818079i | ||||
\(290\) | −159.349 | − | 92.0000i | −0.549478 | − | 0.317241i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 120.208 | + | 208.207i | 0.411672 | + | 0.713036i | ||||
\(293\) | 190.000i | 0.648464i | 0.945978 | + | 0.324232i | \(0.105106\pi\) | ||||
−0.945978 | + | 0.324232i | \(0.894894\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.0000 | −0.0542373 | ||||||||
\(296\) | 78.3837 | − | 45.2548i | 0.264810 | − | 0.152888i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 19.0000 | − | 32.9090i | 0.0637584 | − | 0.110433i | ||||
\(299\) | −405.300 | + | 234.000i | −1.35552 | + | 0.782609i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 214.960i | 0.711790i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 45.2548 | − | 78.3837i | 0.148865 | − | 0.257841i | ||||
\(305\) | −289.040 | − | 166.877i | −0.947671 | − | 0.547138i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −265.872 | −0.866033 | −0.433017 | − | 0.901386i | \(-0.642551\pi\) | ||||
−0.433017 | + | 0.901386i | \(0.642551\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −144.000 | − | 249.415i | −0.464516 | − | 0.804566i | ||||
\(311\) | −460.726 | − | 266.000i | −1.48143 | − | 0.855305i | −0.481654 | − | 0.876361i | \(-0.659964\pi\) |
−0.999778 | + | 0.0210559i | \(0.993297\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 74.2462 | + | 128.598i | 0.237208 | + | 0.410857i | 0.959912 | − | 0.280301i | \(-0.0904343\pi\) |
−0.722704 | + | 0.691158i | \(0.757101\pi\) | |||||||
\(314\) | − | 134.000i | − | 0.426752i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 296.000 | 0.936709 | ||||||||
\(317\) | 199.633 | − | 115.258i | 0.629758 | − | 0.363591i | −0.150900 | − | 0.988549i | \(-0.548217\pi\) |
0.780659 | + | 0.624958i | \(0.214884\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −46.0000 | + | 79.6743i | −0.144201 | + | 0.249763i | ||||
\(320\) | 27.7128 | − | 16.0000i | 0.0866025 | − | 0.0500000i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 90.5097i | 0.280216i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 57.2756 | − | 99.2043i | 0.176233 | − | 0.305244i | ||||
\(326\) | 186.161 | + | 107.480i | 0.571047 | + | 0.329694i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 107.480 | 0.327684 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −134.000 | − | 232.095i | −0.404834 | − | 0.701193i | 0.589468 | − | 0.807792i | \(-0.299337\pi\) |
−0.994302 | + | 0.106599i | \(0.966004\pi\) | |||||||
\(332\) | −138.564 | − | 80.0000i | −0.417362 | − | 0.240964i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −82.0244 | − | 142.070i | −0.245582 | − | 0.425360i | ||||
\(335\) | 192.000i | 0.573134i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 170.000 | 0.504451 | 0.252226 | − | 0.967668i | \(-0.418838\pi\) | ||||
0.252226 | + | 0.967668i | \(0.418838\pi\) | |||||||
\(338\) | −8.57321 | + | 4.94975i | −0.0253645 | + | 0.0146442i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.0000 | + | 27.7128i | −0.0470588 | + | 0.0815083i | ||||
\(341\) | −124.708 | + | 72.0000i | −0.365712 | + | 0.211144i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | − | 56.5685i | − | 0.164443i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 156.978 | − | 271.893i | 0.453693 | − | 0.785819i | ||||
\(347\) | 242.499 | + | 140.007i | 0.698846 | + | 0.403479i | 0.806917 | − | 0.590664i | \(-0.201134\pi\) |
−0.108072 | + | 0.994143i | \(0.534468\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 241.831 | 0.692924 | 0.346462 | − | 0.938064i | \(-0.387383\pi\) | ||||
0.346462 | + | 0.938064i | \(0.387383\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.00000 | − | 13.8564i | −0.0227273 | − | 0.0393648i | ||||
\(353\) | 460.726 | + | 266.000i | 1.30517 | + | 0.753541i | 0.981286 | − | 0.192555i | \(-0.0616775\pi\) |
0.323885 | + | 0.946096i | \(0.395011\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −152.735 | − | 264.545i | −0.430240 | − | 0.745197i | ||||
\(356\) | − | 212.000i | − | 0.595506i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −84.0000 | −0.234637 | ||||||||
\(359\) | −296.388 | + | 171.120i | −0.825594 | + | 0.476657i | −0.852342 | − | 0.522985i | \(-0.824818\pi\) |
0.0267477 | + | 0.999642i | \(0.491485\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −75.5000 | + | 130.770i | −0.209141 | + | 0.362243i | ||||
\(362\) | −98.7269 | + | 57.0000i | −0.272726 | + | 0.157459i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 480.833i | − | 1.31735i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −342.240 | + | 592.777i | −0.932533 | + | 1.61519i | −0.153558 | + | 0.988140i | \(0.549073\pi\) |
−0.778975 | + | 0.627055i | \(0.784260\pi\) | |||||||
\(368\) | −127.373 | − | 73.5391i | −0.346124 | − | 0.199835i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −181.019 | −0.489241 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −191.000 | − | 330.822i | −0.512064 | − | 0.886921i | −0.999902 | − | 0.0139872i | \(-0.995548\pi\) |
0.487838 | − | 0.872934i | \(-0.337786\pi\) | |||||||
\(374\) | 13.8564 | + | 8.00000i | 0.0370492 | + | 0.0213904i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −28.2843 | − | 48.9898i | −0.0752241 | − | 0.130292i | ||||
\(377\) | − | 414.000i | − | 1.09814i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −140.000 | −0.369393 | −0.184697 | − | 0.982796i | \(-0.559130\pi\) | ||||
−0.184697 | + | 0.982796i | \(0.559130\pi\) | |||||||
\(380\) | −156.767 | + | 90.5097i | −0.412546 | + | 0.238183i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −214.000 | + | 370.659i | −0.560209 | + | 0.970311i | ||||
\(383\) | −214.774 | + | 124.000i | −0.560768 | + | 0.323760i | −0.753454 | − | 0.657501i | \(-0.771614\pi\) |
0.192685 | + | 0.981261i | \(0.438280\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 308.299i | 0.798701i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −154.149 | + | 266.994i | −0.397292 | + | 0.688130i | ||||
\(389\) | 295.164 | + | 170.413i | 0.758775 | + | 0.438079i | 0.828856 | − | 0.559462i | \(-0.188992\pi\) |
−0.0700807 | + | 0.997541i | \(0.522326\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 147.078 | 0.376159 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 203.000 | + | 351.606i | 0.515228 | + | 0.892402i | ||||
\(395\) | −512.687 | − | 296.000i | −1.29794 | − | 0.749367i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −122.329 | − | 211.881i | −0.308135 | − | 0.533705i | 0.669820 | − | 0.742524i | \(-0.266371\pi\) |
−0.977954 | + | 0.208819i | \(0.933038\pi\) | |||||||
\(398\) | 96.0000i | 0.241206i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 36.0000 | 0.0900000 | ||||||||
\(401\) | 25.7196 | − | 14.8492i | 0.0641388 | − | 0.0370305i | −0.467588 | − | 0.883947i | \(-0.654877\pi\) |
0.531726 | + | 0.846916i | \(0.321543\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 324.000 | − | 561.184i | 0.803970 | − | 1.39252i | ||||
\(404\) | 218.238 | − | 126.000i | 0.540194 | − | 0.311881i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 90.5097i | 0.222382i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 303.349 | − | 525.416i | 0.741684 | − | 1.28463i | −0.210044 | − | 0.977692i | \(-0.567361\pi\) |
0.951728 | − | 0.306943i | \(-0.0993060\pi\) | |||||||
\(410\) | −186.161 | − | 107.480i | −0.454052 | − | 0.262147i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −147.078 | −0.356986 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 160.000 | + | 277.128i | 0.385542 | + | 0.667779i | ||||
\(416\) | 62.3538 | + | 36.0000i | 0.149889 | + | 0.0865385i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 45.2548 | + | 78.3837i | 0.108265 | + | 0.187521i | ||||
\(419\) | 692.000i | 1.65155i | 0.563999 | + | 0.825776i | \(0.309262\pi\) | ||||
−0.563999 | + | 0.825776i | \(0.690738\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 384.000 | 0.912114 | 0.456057 | − | 0.889951i | \(-0.349261\pi\) | ||||
0.456057 | + | 0.889951i | \(0.349261\pi\) | |||||||
\(422\) | 161.666 | − | 93.3381i | 0.383096 | − | 0.221180i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −134.000 | + | 232.095i | −0.316038 | + | 0.547393i | ||||
\(425\) | −31.1769 | + | 18.0000i | −0.0733574 | + | 0.0423529i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 141.421i | − | 0.330424i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −56.5685 | + | 97.9796i | −0.131555 | + | 0.227860i | ||||
\(431\) | −95.5301 | − | 55.1543i | −0.221648 | − | 0.127968i | 0.385065 | − | 0.922889i | \(-0.374179\pi\) |
−0.606713 | + | 0.794921i | \(0.707512\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 156.978 | 0.362535 | 0.181268 | − | 0.983434i | \(-0.441980\pi\) | ||||
0.181268 | + | 0.983434i | \(0.441980\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −86.0000 | − | 148.956i | −0.197248 | − | 0.341643i | ||||
\(437\) | 720.533 | + | 416.000i | 1.64882 | + | 0.951945i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 101.823 | + | 176.363i | 0.231944 | + | 0.401739i | 0.958380 | − | 0.285495i | \(-0.0921581\pi\) |
−0.726436 | + | 0.687234i | \(0.758825\pi\) | |||||||
\(440\) | 32.0000i | 0.0727273i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −72.0000 | −0.162896 | ||||||||
\(443\) | −703.004 | + | 405.879i | −1.58692 | + | 0.916206i | −0.593104 | + | 0.805126i | \(0.702098\pi\) |
−0.993811 | + | 0.111080i | \(0.964569\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −212.000 | + | 367.195i | −0.476404 | + | 0.825157i | ||||
\(446\) | 207.846 | − | 120.000i | 0.466023 | − | 0.269058i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 284.257i | 0.633089i | 0.948578 | + | 0.316544i | \(0.102523\pi\) | ||||
−0.948578 | + | 0.316544i | \(0.897477\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −53.7401 | + | 93.0806i | −0.119158 | + | 0.206387i | ||||
\(452\) | −36.7423 | − | 21.2132i | −0.0812884 | − | 0.0469319i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −424.264 | −0.934502 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 144.000 | + | 249.415i | 0.315098 | + | 0.545767i | 0.979458 | − | 0.201646i | \(-0.0646291\pi\) |
−0.664360 | + | 0.747413i | \(0.731296\pi\) | |||||||
\(458\) | −306.573 | − | 177.000i | −0.669373 | − | 0.386463i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 147.078 | + | 254.747i | 0.319735 | + | 0.553798i | ||||
\(461\) | 706.000i | 1.53145i | 0.643166 | + | 0.765727i | \(0.277620\pi\) | ||||
−0.643166 | + | 0.765727i | \(0.722380\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −356.000 | −0.768898 | −0.384449 | − | 0.923146i | \(-0.625609\pi\) | ||||
−0.384449 | + | 0.923146i | \(0.625609\pi\) | |||||||
\(464\) | 112.677 | − | 65.0538i | 0.242837 | − | 0.140202i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 21.0000 | − | 36.3731i | 0.0450644 | − | 0.0780538i | ||||
\(467\) | 765.566 | − | 442.000i | 1.63933 | − | 0.946467i | 0.658264 | − | 0.752787i | \(-0.271291\pi\) |
0.981065 | − | 0.193679i | \(-0.0620422\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 113.137i | 0.240717i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.65685 | − | 9.79796i | 0.0119849 | − | 0.0207584i | ||||
\(473\) | 48.9898 | + | 28.2843i | 0.103573 | + | 0.0597976i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −203.647 | −0.428730 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 114.000 | + | 197.454i | 0.238494 | + | 0.413083i | ||||
\(479\) | 439.941 | + | 254.000i | 0.918457 | + | 0.530271i | 0.883142 | − | 0.469105i | \(-0.155423\pi\) |
0.0353145 | + | 0.999376i | \(0.488757\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −203.647 | − | 352.727i | −0.423382 | − | 0.733319i | ||||
\(482\) | − | 534.000i | − | 1.10788i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −226.000 | −0.466942 | ||||||||
\(485\) | 533.989 | − | 308.299i | 1.10101 | − | 0.635667i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 312.000 | − | 540.400i | 0.640657 | − | 1.10965i | −0.344629 | − | 0.938739i | \(-0.611995\pi\) |
0.985286 | − | 0.170912i | \(-0.0546713\pi\) | |||||||
\(488\) | 204.382 | − | 118.000i | 0.418816 | − | 0.241803i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 840.043i | − | 1.71088i | −0.517901 | − | 0.855441i | \(-0.673286\pi\) | ||
0.517901 | − | 0.855441i | \(-0.326714\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −65.0538 | + | 112.677i | −0.131955 | + | 0.228553i | ||||
\(494\) | −352.727 | − | 203.647i | −0.714021 | − | 0.412240i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 203.647 | 0.410578 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 470.000 | + | 814.064i | 0.941884 | + | 1.63139i | 0.761874 | + | 0.647726i | \(0.224280\pi\) |
0.180010 | + | 0.983665i | \(0.442387\pi\) | |||||||
\(500\) | −235.559 | − | 136.000i | −0.471118 | − | 0.272000i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −336.583 | − | 582.979i | −0.670484 | − | 1.16131i | ||||
\(503\) | − | 632.000i | − | 1.25646i | −0.778027 | − | 0.628231i | \(-0.783779\pi\) | ||
0.778027 | − | 0.628231i | \(-0.216221\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −504.000 | −0.998020 | ||||||||
\(506\) | 127.373 | − | 73.5391i | 0.251726 | − | 0.145334i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.00000 | − | 6.92820i | 0.00787402 | − | 0.0136382i | ||||
\(509\) | 190.526 | − | 110.000i | 0.374314 | − | 0.216110i | −0.301028 | − | 0.953615i | \(-0.597330\pi\) |
0.675341 | + | 0.737505i | \(0.263996\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −72.1249 | + | 124.924i | −0.140321 | + | 0.243043i | ||||
\(515\) | 254.747 | + | 147.078i | 0.494654 | + | 0.285589i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 56.5685 | 0.109417 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −72.0000 | − | 124.708i | −0.138462 | − | 0.239822i | ||||
\(521\) | 439.941 | + | 254.000i | 0.844416 | + | 0.487524i | 0.858763 | − | 0.512373i | \(-0.171233\pi\) |
−0.0143466 | + | 0.999897i | \(0.504567\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 407.294 | + | 705.453i | 0.778764 | + | 1.34886i | 0.932655 | + | 0.360771i | \(0.117486\pi\) |
−0.153891 | + | 0.988088i | \(0.549180\pi\) | |||||||
\(524\) | − | 48.0000i | − | 0.0916031i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 516.000 | 0.980989 | ||||||||
\(527\) | −176.363 | + | 101.823i | −0.334655 | + | 0.193213i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 411.500 | − | 712.739i | 0.777883 | − | 1.34733i | ||||
\(530\) | 464.190 | − | 268.000i | 0.875829 | − | 0.505660i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 483.661i | − | 0.907432i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −141.421 | + | 244.949i | −0.264339 | + | 0.457849i | ||||
\(536\) | −117.576 | − | 67.8823i | −0.219357 | − | 0.126646i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −277.186 | −0.515215 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 232.000 | + | 401.836i | 0.428835 | + | 0.742765i | 0.996770 | − | 0.0803089i | \(-0.0255907\pi\) |
−0.567935 | + | 0.823074i | \(0.692257\pi\) | |||||||
\(542\) | 214.774 | + | 124.000i | 0.396263 | + | 0.228782i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −11.3137 | − | 19.5959i | −0.0207973 | − | 0.0360219i | ||||
\(545\) | 344.000i | 0.631193i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −80.0000 | −0.146252 | −0.0731261 | − | 0.997323i | \(-0.523298\pi\) | ||||
−0.0731261 | + | 0.997323i | \(0.523298\pi\) | |||||||
\(548\) | −124.924 | + | 72.1249i | −0.227963 | + | 0.131615i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.0000 | + | 31.1769i | −0.0327273 | + | 0.0566853i | ||||
\(551\) | −637.395 | + | 368.000i | −1.15680 | + | 0.667877i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 362.039i | 0.653499i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −141.421 | + | 244.949i | −0.254355 | + | 0.440556i | ||||
\(557\) | −789.960 | − | 456.084i | −1.41824 | − | 0.818822i | −0.422097 | − | 0.906551i | \(-0.638706\pi\) |
−0.996144 | + | 0.0877287i | \(0.972039\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −254.558 | −0.455382 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 19.0000 | + | 32.9090i | 0.0338078 | + | 0.0585569i | ||||
\(563\) | 273.664 | + | 158.000i | 0.486082 | + | 0.280639i | 0.722948 | − | 0.690903i | \(-0.242787\pi\) |
−0.236866 | + | 0.971542i | \(0.576120\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 42.4264 | + | 73.4847i | 0.0750910 | + | 0.130061i | ||||
\(566\) | − | 712.000i | − | 1.25795i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 216.000 | 0.380282 | ||||||||
\(569\) | 963.874 | − | 556.493i | 1.69398 | − | 0.978019i | 0.742733 | − | 0.669588i | \(-0.233529\pi\) |
0.951247 | − | 0.308431i | \(-0.0998040\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 220.000 | − | 381.051i | 0.385289 | − | 0.667340i | −0.606520 | − | 0.795068i | \(-0.707435\pi\) |
0.991809 | + | 0.127728i | \(0.0407684\pi\) | |||||||
\(572\) | −62.3538 | + | 36.0000i | −0.109010 | + | 0.0629371i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 330.926i | 0.575523i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −159.099 | + | 275.568i | −0.275735 | + | 0.477587i | −0.970320 | − | 0.241823i | \(-0.922255\pi\) |
0.694585 | + | 0.719410i | \(0.255588\pi\) | |||||||
\(578\) | −334.355 | − | 193.040i | −0.578469 | − | 0.333980i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −260.215 | −0.448647 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −134.000 | − | 232.095i | −0.229846 | − | 0.398104i | ||||
\(584\) | 294.449 | + | 170.000i | 0.504193 | + | 0.291096i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 134.350 | + | 232.702i | 0.229267 | + | 0.397102i | ||||
\(587\) | 300.000i | 0.511073i | 0.966799 | + | 0.255537i | \(0.0822521\pi\) | ||||
−0.966799 | + | 0.255537i | \(0.917748\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1152.00 | −1.95586 | ||||||||
\(590\) | −19.5959 | + | 11.3137i | −0.0332134 | + | 0.0191758i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 64.0000 | − | 110.851i | 0.108108 | − | 0.187249i | ||||
\(593\) | 897.202 | − | 518.000i | 1.51299 | − | 0.873524i | 0.513104 | − | 0.858326i | \(-0.328495\pi\) |
0.999885 | − | 0.0151981i | \(-0.00483791\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 53.7401i | − | 0.0901680i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −330.926 | + | 573.181i | −0.553388 | + | 0.958496i | ||||
\(599\) | 849.973 | + | 490.732i | 1.41899 | + | 0.819252i | 0.996210 | − | 0.0869817i | \(-0.0277222\pi\) |
0.422777 | + | 0.906234i | \(0.361055\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 352.139 | 0.585922 | 0.292961 | − | 0.956124i | \(-0.405359\pi\) | ||||
0.292961 | + | 0.956124i | \(0.405359\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 152.000 | + | 263.272i | 0.251656 | + | 0.435880i | ||||
\(605\) | 391.443 | + | 226.000i | 0.647014 | + | 0.373554i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 432.749 | + | 749.544i | 0.712931 | + | 1.23483i | 0.963752 | + | 0.266800i | \(0.0859662\pi\) |
−0.250821 | + | 0.968034i | \(0.580700\pi\) | |||||||
\(608\) | − | 128.000i | − | 0.210526i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −472.000 | −0.773770 | ||||||||
\(611\) | −220.454 | + | 127.279i | −0.360809 | + | 0.208313i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 132.000 | − | 228.631i | 0.215334 | − | 0.372970i | −0.738042 | − | 0.674755i | \(-0.764249\pi\) |
0.953376 | + | 0.301785i | \(0.0975825\pi\) | |||||||
\(614\) | −325.626 | + | 188.000i | −0.530335 | + | 0.306189i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 15.5563i | − | 0.0252129i | −0.999921 | − | 0.0126064i | \(-0.995987\pi\) | ||
0.999921 | − | 0.0126064i | \(-0.00401286\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −200.818 | + | 347.828i | −0.324424 | + | 0.561918i | −0.981396 | − | 0.191997i | \(-0.938504\pi\) |
0.656972 | + | 0.753915i | \(0.271837\pi\) | |||||||
\(620\) | −352.727 | − | 203.647i | −0.568914 | − | 0.328463i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −752.362 | −1.20958 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 159.500 | + | 276.262i | 0.255200 | + | 0.442019i | ||||
\(626\) | 181.865 | + | 105.000i | 0.290520 | + | 0.167732i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −94.7523 | − | 164.116i | −0.150879 | − | 0.261331i | ||||
\(629\) | 128.000i | 0.203498i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −676.000 | −1.07132 | −0.535658 | − | 0.844435i | \(-0.679936\pi\) | ||||
−0.535658 | + | 0.844435i | \(0.679936\pi\) | |||||||
\(632\) | 362.524 | − | 209.304i | 0.573615 | − | 0.331177i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 163.000 | − | 282.324i | 0.257098 | − | 0.445306i | ||||
\(635\) | −13.8564 | + | 8.00000i | −0.0218211 | + | 0.0125984i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 130.108i | 0.203930i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 22.6274 | − | 39.1918i | 0.0353553 | − | 0.0612372i | ||||
\(641\) | 787.511 | + | 454.670i | 1.22857 | + | 0.709313i | 0.966730 | − | 0.255799i | \(-0.0823386\pi\) |
0.261836 | + | 0.965112i | \(0.415672\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −480.833 | −0.747796 | −0.373898 | − | 0.927470i | \(-0.621979\pi\) | ||||
−0.373898 | + | 0.927470i | \(0.621979\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 64.0000 | + | 110.851i | 0.0990712 | + | 0.171596i | ||||
\(647\) | −509.223 | − | 294.000i | −0.787052 | − | 0.454405i | 0.0518714 | − | 0.998654i | \(-0.483481\pi\) |
−0.838924 | + | 0.544249i | \(0.816815\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.65685 | + | 9.79796i | 0.00871626 | + | 0.0150970i | ||||
\(650\) | − | 162.000i | − | 0.249231i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 304.000 | 0.466258 | ||||||||
\(653\) | 393.143 | − | 226.981i | 0.602057 | − | 0.347598i | −0.167793 | − | 0.985822i | \(-0.553664\pi\) |
0.769850 | + | 0.638225i | \(0.220331\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −48.0000 | + | 83.1384i | −0.0732824 | + | 0.126929i | ||||
\(656\) | 131.636 | − | 76.0000i | 0.200664 | − | 0.115854i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 755.190i | − | 1.14596i | −0.819568 | − | 0.572982i | \(-0.805787\pi\) | ||
0.819568 | − | 0.572982i | \(-0.194213\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 120.915 | − | 209.431i | 0.182928 | − | 0.316840i | −0.759949 | − | 0.649983i | \(-0.774776\pi\) |
0.942876 | + | 0.333143i | \(0.108109\pi\) | |||||||
\(662\) | −328.232 | − | 189.505i | −0.495818 | − | 0.286261i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −226.274 | −0.340774 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 598.000 | + | 1035.77i | 0.896552 | + | 1.55287i | ||||
\(668\) | −200.918 | − | 116.000i | −0.300775 | − | 0.173653i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 135.765 | + | 235.151i | 0.202634 | + | 0.350972i | ||||
\(671\) | 236.000i | 0.351714i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1176.00 | 1.74740 | 0.873700 | − | 0.486465i | \(-0.161714\pi\) | ||||
0.873700 | + | 0.486465i | \(0.161714\pi\) | |||||||
\(674\) | 208.207 | − | 120.208i | 0.308912 | − | 0.178350i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.00000 | + | 12.1244i | −0.0103550 | + | 0.0179354i | ||||
\(677\) | 192.258 | − | 111.000i | 0.283985 | − | 0.163959i | −0.351241 | − | 0.936285i | \(-0.614240\pi\) |
0.635226 | + | 0.772326i | \(0.280907\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 45.2548i | 0.0665512i | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −101.823 | + | 176.363i | −0.149301 | + | 0.258597i | ||||
\(683\) | −448.257 | − | 258.801i | −0.656305 | − | 0.378918i | 0.134562 | − | 0.990905i | \(-0.457037\pi\) |
−0.790868 | + | 0.611987i | \(0.790370\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 288.500 | 0.421167 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −40.0000 | − | 69.2820i | −0.0581395 | − | 0.100701i | ||||
\(689\) | 1044.43 | + | 603.000i | 1.51586 | + | 0.875181i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 322.441 | + | 558.484i | 0.466629 | + | 0.808225i | 0.999273 | − | 0.0381139i | \(-0.0121350\pi\) |
−0.532644 | + | 0.846339i | \(0.678802\pi\) | |||||||
\(692\) | − | 444.000i | − | 0.641618i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 396.000 | 0.570605 | ||||||||
\(695\) | 489.898 | − | 282.843i | 0.704889 | − | 0.406968i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −76.0000 | + | 131.636i | −0.109039 | + | 0.188861i | ||||
\(698\) | 296.181 | − | 171.000i | 0.424328 | − | 0.244986i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 657.609i | 0.938102i | 0.883171 | + | 0.469051i | \(0.155404\pi\) | ||||
−0.883171 | + | 0.469051i | \(0.844596\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −362.039 | + | 627.069i | −0.514991 | + | 0.891991i | ||||
\(704\) | −19.5959 | − | 11.3137i | −0.0278351 | − | 0.0160706i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 752.362 | 1.06567 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −53.0000 | − | 91.7987i | −0.0747532 | − | 0.129476i | 0.826226 | − | 0.563339i | \(-0.190484\pi\) |
−0.900979 | + | 0.433863i | \(0.857150\pi\) | |||||||
\(710\) | −374.123 | − | 216.000i | −0.526934 | − | 0.304225i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −149.907 | − | 259.646i | −0.210543 | − | 0.364671i | ||||
\(713\) | 1872.00i | 2.62553i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 144.000 | 0.201399 | ||||||||
\(716\) | −102.879 | + | 59.3970i | −0.143685 | + | 0.0829567i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −242.000 | + | 419.156i | −0.337047 | + | 0.583783i | ||||
\(719\) | −1053.09 | + | 608.000i | −1.46465 | + | 0.845619i | −0.999221 | − | 0.0394637i | \(-0.987435\pi\) |
−0.465434 | + | 0.885083i | \(0.654102\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 213.546i | 0.295770i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −80.6102 | + | 139.621i | −0.111340 | + | 0.192847i | ||||
\(725\) | −253.522 | − | 146.371i | −0.349686 | − | 0.201891i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −73.5391 | −0.101154 | −0.0505771 | − | 0.998720i | \(-0.516106\pi\) | ||||
−0.0505771 | + | 0.998720i | \(0.516106\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −340.000 | − | 588.897i | −0.465753 | − | 0.806709i | ||||
\(731\) | 69.2820 | + | 40.0000i | 0.0947771 | + | 0.0547196i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 210.011 | + | 363.749i | 0.286508 | + | 0.496247i | 0.972974 | − | 0.230915i | \(-0.0741720\pi\) |
−0.686465 | + | 0.727162i | \(0.740839\pi\) | |||||||
\(734\) | 968.000i | 1.31880i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −208.000 | −0.282609 | ||||||||
\(737\) | 117.576 | − | 67.8823i | 0.159533 | − | 0.0921062i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 204.000 | − | 353.338i | 0.276049 | − | 0.478130i | −0.694350 | − | 0.719637i | \(-0.744308\pi\) |
0.970399 | + | 0.241507i | \(0.0776416\pi\) | |||||||
\(740\) | −221.703 | + | 128.000i | −0.299598 | + | 0.172973i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 489.318i | 0.658571i | 0.944230 | + | 0.329285i | \(0.106808\pi\) | ||||
−0.944230 | + | 0.329285i | \(0.893192\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −53.7401 | + | 93.0806i | −0.0721344 | + | 0.124940i | ||||
\(746\) | −467.853 | − | 270.115i | −0.627148 | − | 0.362084i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 22.6274 | 0.0302506 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 68.0000 | + | 117.779i | 0.0905459 | + | 0.156830i | 0.907741 | − | 0.419531i | \(-0.137805\pi\) |
−0.817195 | + | 0.576361i | \(0.804472\pi\) | |||||||
\(752\) | −69.2820 | − | 40.0000i | −0.0921304 | − | 0.0531915i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −292.742 | − | 507.044i | −0.388252 | − | 0.672473i | ||||
\(755\) | − | 608.000i | − | 0.805298i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 758.000 | 1.00132 | 0.500661 | − | 0.865644i | \(-0.333091\pi\) | ||||
0.500661 | + | 0.865644i | \(0.333091\pi\) | |||||||
\(758\) | −171.464 | + | 98.9949i | −0.226206 | + | 0.130600i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −128.000 | + | 221.703i | −0.168421 | + | 0.291714i | ||||
\(761\) | 50.2295 | − | 29.0000i | 0.0660046 | − | 0.0381078i | −0.466635 | − | 0.884450i | \(-0.654534\pi\) |
0.532639 | + | 0.846342i | \(0.321200\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 605.283i | 0.792256i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −175.362 | + | 303.737i | −0.228933 | + | 0.396523i | ||||
\(767\) | −44.0908 | − | 25.4558i | −0.0574848 | − | 0.0331888i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −292.742 | −0.380679 | −0.190340 | − | 0.981718i | \(-0.560959\pi\) | ||||
−0.190340 | + | 0.981718i | \(0.560959\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 218.000 | + | 377.587i | 0.282383 | + | 0.489102i | ||||
\(773\) | 261.540 | + | 151.000i | 0.338344 | + | 0.195343i | 0.659539 | − | 0.751670i | \(-0.270751\pi\) |
−0.321196 | + | 0.947013i | \(0.604085\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −229.103 | − | 396.817i | −0.295616 | − | 0.512022i | ||||
\(776\) | 436.000i | 0.561856i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 482.000 | 0.619537 | ||||||||
\(779\) | −744.645 | + | 429.921i | −0.955898 | + | 0.551888i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −108.000 | + | 187.061i | −0.138284 | + | 0.239515i | ||||
\(782\) | 180.133 | − | 104.000i | 0.230349 | − | 0.132992i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 379.009i | 0.482814i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −248.902 | + | 431.110i | −0.316266 | + | 0.547789i | −0.979706 | − | 0.200441i | \(-0.935763\pi\) |
0.663440 | + | 0.748230i | \(0.269096\pi\) | |||||||
\(788\) | 497.246 | + | 287.085i | 0.631023 | + | 0.364322i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −837.214 | −1.05977 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −531.000 | − | 919.719i | −0.669609 | − | 1.15980i | ||||
\(794\) | −299.645 | − | 173.000i | −0.377386 | − | 0.217884i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 67.8823 | + | 117.576i | 0.0852792 | + | 0.147708i | ||||
\(797\) | − | 30.0000i | − | 0.0376412i | −0.999823 | − | 0.0188206i | \(-0.994009\pi\) | ||
0.999823 | − | 0.0188206i | \(-0.00599113\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 80.0000 | 0.100125 | ||||||||
\(800\) | 44.0908 | − | 25.4558i | 0.0551135 | − | 0.0318198i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 21.0000 | − | 36.3731i | 0.0261845 | − | 0.0453530i | ||||
\(803\) | −294.449 | + | 170.000i | −0.366686 | + | 0.211706i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 916.410i | − | 1.13699i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 178.191 | − | 308.636i | 0.220533 | − | 0.381975i | ||||
\(809\) | −851.198 | − | 491.439i | −1.05216 | − | 0.607465i | −0.128907 | − | 0.991657i | \(-0.541147\pi\) |
−0.923253 | + | 0.384192i | \(0.874480\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 458.205 | 0.564988 | 0.282494 | − | 0.959269i | \(-0.408838\pi\) | ||||
0.282494 | + | 0.959269i | \(0.408838\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 64.0000 | + | 110.851i | 0.0786241 | + | 0.136181i | ||||
\(815\) | −526.543 | − | 304.000i | −0.646066 | − | 0.373006i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 226.274 | + | 391.918i | 0.276957 | + | 0.479704i | ||||
\(818\) | − | 858.000i | − | 1.04890i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −304.000 | −0.370732 | ||||||||
\(821\) | −525.416 | + | 303.349i | −0.639970 | + | 0.369487i | −0.784603 | − | 0.619998i | \(-0.787133\pi\) |
0.144633 | + | 0.989485i | \(0.453800\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.0000 | − | 58.8897i | 0.0413123 | − | 0.0715550i | −0.844630 | − | 0.535351i | \(-0.820179\pi\) |
0.885942 | + | 0.463796i | \(0.153513\pi\) | |||||||
\(824\) | −180.133 | + | 104.000i | −0.218608 | + | 0.126214i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 195.161i | 0.235987i | 0.993014 | + | 0.117994i | \(0.0376462\pi\) | ||||
−0.993014 | + | 0.117994i | \(0.962354\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 622.961 | − | 1079.00i | 0.751461 | − | 1.30157i | −0.195654 | − | 0.980673i | \(-0.562683\pi\) |
0.947115 | − | 0.320895i | \(-0.103984\pi\) | |||||||
\(830\) | 391.918 | + | 226.274i | 0.472191 | + | 0.272619i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 101.823 | 0.122384 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 232.000 | + | 401.836i | 0.277844 | + | 0.481240i | ||||
\(836\) | 110.851 | + | 64.0000i | 0.132597 | + | 0.0765550i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 489.318 | + | 847.523i | 0.583912 | + | 1.01136i | ||||
\(839\) | 1196.00i | 1.42551i | 0.701415 | + | 0.712753i | \(0.252552\pi\) | ||||
−0.701415 | + | 0.712753i | \(0.747448\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −217.000 | −0.258026 | ||||||||
\(842\) | 470.302 | − | 271.529i | 0.558553 | − | 0.322481i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 132.000 | − | 228.631i | 0.156398 | − | 0.270889i | ||||
\(845\) | 24.2487 | − | 14.0000i | 0.0286967 | − | 0.0165680i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 379.009i | 0.446945i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −25.4558 | + | 44.0908i | −0.0299481 | + | 0.0518715i | ||||
\(851\) | 1018.99 | + | 588.313i | 1.19740 | + | 0.691319i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1217.64 | 1.42748 | 0.713738 | − | 0.700412i | \(-0.247001\pi\) | ||||
0.713738 | + | 0.700412i | \(0.247001\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −100.000 | − | 173.205i | −0.116822 | − | 0.202342i | ||||
\(857\) | −549.060 | − | 317.000i | −0.640677 | − | 0.369895i | 0.144198 | − | 0.989549i | \(-0.453940\pi\) |
−0.784875 | + | 0.619654i | \(0.787273\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −800.445 | − | 1386.41i | −0.931833 | − | 1.61398i | −0.780186 | − | 0.625548i | \(-0.784875\pi\) |
−0.151648 | − | 0.988435i | \(-0.548458\pi\) | |||||||
\(860\) | 160.000i | 0.186047i | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −156.000 | −0.180974 | ||||||||
\(863\) | 399.267 | − | 230.517i | 0.462650 | − | 0.267111i | −0.250508 | − | 0.968115i | \(-0.580598\pi\) |
0.713158 | + | 0.701004i | \(0.247264\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −444.000 | + | 769.031i | −0.513295 | + | 0.889053i | ||||
\(866\) | 192.258 | − | 111.000i | 0.222007 | − | 0.128176i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 418.607i | 0.481711i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −305.470 | + | 529.090i | −0.350712 | + | 0.607451i | ||||
\(872\) | −210.656 | − | 121.622i | −0.241578 | − | 0.139475i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1176.63 | 1.34625 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −628.000 | − | 1087.73i | −0.716078 | − | 1.24028i | −0.962542 | − | 0.271131i | \(-0.912602\pi\) |
0.246465 | − | 0.969152i | \(-0.420731\pi\) | |||||||
\(878\) | 249.415 | + | 144.000i | 0.284072 | + | 0.164009i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 22.6274 | + | 39.1918i | 0.0257130 | + | 0.0445362i | ||||
\(881\) | − | 1092.00i | − | 1.23950i | −0.784799 | − | 0.619750i | \(-0.787234\pi\) | ||
0.784799 | − | 0.619750i | \(-0.212766\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 284.000 | 0.321631 | 0.160815 | − | 0.986985i | \(-0.448588\pi\) | ||||
0.160815 | + | 0.986985i | \(0.448588\pi\) | |||||||
\(884\) | −88.1816 | + | 50.9117i | −0.0997530 | + | 0.0575924i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −574.000 | + | 994.197i | −0.647856 | + | 1.12212i | ||||
\(887\) | −620.074 | + | 358.000i | −0.699069 | + | 0.403608i | −0.807001 | − | 0.590551i | \(-0.798911\pi\) |
0.107932 | + | 0.994158i | \(0.465577\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 599.627i | 0.673738i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 169.706 | − | 293.939i | 0.190253 | − | 0.329528i | ||||
\(893\) | 391.918 | + | 226.274i | 0.438878 | + | 0.253387i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 237.588 | 0.265461 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 201.000 | + | 348.142i | 0.223831 | + | 0.387686i | ||||
\(899\) | −1434.14 | − | 828.000i | −1.59526 | − | 0.921023i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −189.505 | − | 328.232i | −0.210327 | − | 0.364297i | ||||
\(902\) | 152.000i | 0.168514i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −60.0000 | −0.0663717 | ||||||||
\(905\) | 279.242 | − | 161.220i | 0.308555 | − | 0.178144i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −362.000 | + | 627.002i | −0.399118 | + | 0.691293i | −0.993617 | − | 0.112803i | \(-0.964017\pi\) |
0.594499 | + | 0.804096i | \(0.297350\pi\) | |||||||
\(908\) | −519.615 | + | 300.000i | −0.572263 | + | 0.330396i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 302.642i | − | 0.332208i | −0.986108 | − | 0.166104i | \(-0.946881\pi\) | ||
0.986108 | − | 0.166104i | \(-0.0531188\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 113.137 | − | 195.959i | 0.123918 | − | 0.214632i | ||||
\(914\) | 352.727 | + | 203.647i | 0.385915 | + | 0.222808i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −500.632 | −0.546541 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −188.000 | − | 325.626i | −0.204570 | − | 0.354326i | 0.745426 | − | 0.666589i | \(-0.232246\pi\) |
−0.949996 | + | 0.312263i | \(0.898913\pi\) | |||||||
\(920\) | 360.267 | + | 208.000i | 0.391594 | + | 0.226087i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 499.217 | + | 864.670i | 0.541451 | + | 0.937820i | ||||
\(923\) | − | 972.000i | − | 1.05309i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −288.000 | −0.311351 | ||||||||
\(926\) | −436.009 | + | 251.730i | −0.470852 | + | 0.271847i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 92.0000 | − | 159.349i | 0.0991379 | − | 0.171712i | ||||
\(929\) | −1047.89 | + | 605.000i | −1.12798 | + | 0.651238i | −0.943425 | − | 0.331585i | \(-0.892417\pi\) |
−0.184552 | + | 0.982823i | \(0.559083\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 59.3970i | − | 0.0637307i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 625.082 | − | 1082.67i | 0.669253 | − | 1.15918i | ||||
\(935\) | −39.1918 | − | 22.6274i | −0.0419164 | − | 0.0242004i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −994.192 | −1.06104 | −0.530519 | − | 0.847673i | \(-0.678003\pi\) | ||||
−0.530519 | + | 0.847673i | \(0.678003\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 80.0000 | + | 138.564i | 0.0851064 | + | 0.147409i | ||||
\(941\) | −38.1051 | − | 22.0000i | −0.0404943 | − | 0.0233794i | 0.479616 | − | 0.877478i | \(-0.340776\pi\) |
−0.520110 | + | 0.854099i | \(0.674109\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 698.621 | + | 1210.05i | 0.740850 | + | 1.28319i | ||||
\(944\) | − | 16.0000i | − | 0.0169492i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 80.0000 | 0.0845666 | ||||||||
\(947\) | −874.468 | + | 504.874i | −0.923408 | + | 0.533130i | −0.884721 | − | 0.466121i | \(-0.845651\pi\) |
−0.0386876 | + | 0.999251i | \(0.512318\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 765.000 | − | 1325.02i | 0.806112 | − | 1.39623i | ||||
\(950\) | −249.415 | + | 144.000i | −0.262542 | + | 0.151579i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 1322.29i | − | 1.38750i | −0.720215 | − | 0.693751i | \(-0.755957\pi\) | ||
0.720215 | − | 0.693751i | \(-0.244043\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 605.283 | − | 1048.38i | 0.633805 | − | 1.09778i | ||||
\(956\) | 279.242 | + | 161.220i | 0.292094 | + | 0.168641i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 718.420 | 0.749917 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −815.500 | − | 1412.49i | −0.848595 | − | 1.46981i | ||||
\(962\) | −498.831 | − | 288.000i | −0.518535 | − | 0.299376i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −377.595 | − | 654.014i | −0.391696 | − | 0.678438i | ||||
\(965\) | − | 872.000i | − | 0.903627i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 876.000 | 0.905895 | 0.452947 | − | 0.891537i | \(-0.350373\pi\) | ||||
0.452947 | + | 0.891537i | \(0.350373\pi\) | |||||||
\(968\) | −276.792 | + | 159.806i | −0.285943 | + | 0.165089i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 436.000 | − | 755.174i | 0.449485 | − | 0.778530i | ||||
\(971\) | 1254.00 | − | 724.000i | 1.29146 | − | 0.745623i | 0.312545 | − | 0.949903i | \(-0.398819\pi\) |
0.978912 | + | 0.204280i | \(0.0654853\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 882.469i | − | 0.906026i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 166.877 | − | 289.040i | 0.170981 | − | 0.296147i | ||||
\(977\) | −1289.66 | − | 744.583i | −1.32002 | − | 0.762112i | −0.336286 | − | 0.941760i | \(-0.609171\pi\) |
−0.983731 | + | 0.179648i | \(0.942504\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 299.813 | 0.306244 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −594.000 | − | 1028.84i | −0.604888 | − | 1.04770i | ||||
\(983\) | 27.7128 | + | 16.0000i | 0.0281921 | + | 0.0162767i | 0.514030 | − | 0.857772i | \(-0.328152\pi\) |
−0.485838 | + | 0.874049i | \(0.661485\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −574.171 | − | 994.493i | −0.582914 | − | 1.00964i | ||||
\(986\) | 184.000i | 0.186613i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −576.000 | −0.582996 | ||||||||
\(989\) | 636.867 | − | 367.696i | 0.643951 | − | 0.371785i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 140.000 | − | 242.487i | 0.141271 | − | 0.244689i | −0.786704 | − | 0.617330i | \(-0.788214\pi\) |
0.927976 | + | 0.372641i | \(0.121548\pi\) | |||||||
\(992\) | 249.415 | − | 144.000i | 0.251427 | − | 0.145161i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 271.529i | − | 0.272893i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 546.594 | − | 946.728i | 0.548238 | − | 0.949577i | −0.450157 | − | 0.892949i | \(-0.648632\pi\) |
0.998395 | − | 0.0566272i | \(-0.0180346\pi\) | |||||||
\(998\) | 1151.26 | + | 664.680i | 1.15357 | + | 0.666012i | ||||
\(999\) | 0 | 0 |
(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 | 882.3.s.g.557.3 | 8 | ||
3.2 | odd | 2 | inner | 882.3.s.g.557.2 | 8 | ||
7.2 | even | 3 | inner | 882.3.s.g.863.2 | 8 | ||
7.3 | odd | 6 | 882.3.b.h.197.4 | yes | 4 | ||
7.4 | even | 3 | 882.3.b.h.197.3 | yes | 4 | ||
7.5 | odd | 6 | inner | 882.3.s.g.863.1 | 8 | ||
7.6 | odd | 2 | inner | 882.3.s.g.557.4 | 8 | ||
21.2 | odd | 6 | inner | 882.3.s.g.863.3 | 8 | ||
21.5 | even | 6 | inner | 882.3.s.g.863.4 | 8 | ||
21.11 | odd | 6 | 882.3.b.h.197.2 | yes | 4 | ||
21.17 | even | 6 | 882.3.b.h.197.1 | ✓ | 4 | ||
21.20 | even | 2 | inner | 882.3.s.g.557.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.3.b.h.197.1 | ✓ | 4 | 21.17 | even | 6 | ||
882.3.b.h.197.2 | yes | 4 | 21.11 | odd | 6 | ||
882.3.b.h.197.3 | yes | 4 | 7.4 | even | 3 | ||
882.3.b.h.197.4 | yes | 4 | 7.3 | odd | 6 | ||
882.3.s.g.557.1 | 8 | 21.20 | even | 2 | inner | ||
882.3.s.g.557.2 | 8 | 3.2 | odd | 2 | inner | ||
882.3.s.g.557.3 | 8 | 1.1 | even | 1 | trivial | ||
882.3.s.g.557.4 | 8 | 7.6 | odd | 2 | inner | ||
882.3.s.g.863.1 | 8 | 7.5 | odd | 6 | inner | ||
882.3.s.g.863.2 | 8 | 7.2 | even | 3 | inner | ||
882.3.s.g.863.3 | 8 | 21.2 | odd | 6 | inner | ||
882.3.s.g.863.4 | 8 | 21.5 | even | 6 | inner |