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 | 557.4 | ||
Root | \(0.258819 + 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.557 |
Dual form | 882.3.s.g.863.4 |
$q$-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 | −0.111847 | − | 0.993725i | \(-0.535677\pi\) |
0.804668 | + | 0.593725i | \(0.202343\pi\) | |||||||
\(6\) | 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 | \(-0.337166\pi\) | ||||
0.489535 | + | 0.871983i | \(0.337166\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | −3.46410 | − | 2.00000i | −0.203771 | − | 0.117647i | 0.394642 | − | 0.918835i | \(-0.370868\pi\) |
−0.598413 | + | 0.801188i | \(0.704202\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −11.3137 | − | 19.5959i | −0.595458 | − | 1.03136i | −0.993482 | − | 0.113989i | \(-0.963637\pi\) |
0.398024 | − | 0.917375i | \(-0.369696\pi\) | |||||||
\(20\) | − | 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 | \(-0.526663\pi\) |
0.904822 | − | 0.425790i | \(-0.140004\pi\) | |||||||
\(32\) | −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 | \(-0.846624\pi\) | ||
0.886142 | − | 0.463415i | \(-0.153376\pi\) | |||||||
\(42\) | 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 | −0.672812 | − | 0.739813i | \(-0.734914\pi\) |
0.304291 | + | 0.952579i | \(0.401581\pi\) | |||||||
\(48\) | 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 | 0.470356 | − | 0.882477i | \(-0.344126\pi\) |
−0.529069 | + | 0.848579i | \(0.677459\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −41.7193 | − | 72.2599i | −0.683923 | − | 1.18459i | −0.973774 | − | 0.227518i | \(-0.926939\pi\) |
0.289851 | − | 0.957072i | \(-0.406394\pi\) | |||||||
\(62\) | − | 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 | \(-0.525439\pi\) |
0.903179 | − | 0.429265i | \(-0.141227\pi\) | |||||||
\(74\) | 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 | \(0.160063\pi\) | ||||
−0.876211 | + | 0.481928i | \(0.839937\pi\) | |||||||
\(84\) | 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 | −0.917399 | − | 0.397970i | \(-0.869715\pi\) |
−0.114047 | + | 0.993475i | \(0.536382\pi\) | |||||||
\(90\) | 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 | \(-0.207689\pi\) | ||||
0.794584 | + | 0.607154i | \(0.207689\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.00000 | + | 15.5885i | 0.0900000 | + | 0.155885i | ||||
\(101\) | −109.119 | − | 63.0000i | −1.08039 | − | 0.623762i | −0.149387 | − | 0.988779i | \(-0.547730\pi\) |
−0.931001 | + | 0.365016i | \(0.881063\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 36.7696 | + | 63.6867i | 0.356986 | + | 0.618318i | 0.987456 | − | 0.157896i | \(-0.0504711\pi\) |
−0.630470 | + | 0.776214i | \(0.717138\pi\) | |||||||
\(104\) | − | 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 | −0.577228 | − | 0.816583i | \(-0.695866\pi\) |
0.418567 | + | 0.908186i | \(0.362532\pi\) | |||||||
\(132\) | 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 | \(-0.330123\pi\) | ||||
0.508710 | + | 0.860938i | \(0.330123\pi\) | |||||||
\(140\) | 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 | −0.976534 | − | 0.215361i | \(-0.930907\pi\) |
0.674776 | + | 0.738023i | \(0.264240\pi\) | |||||||
\(158\) | 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 | \(0.112903\pi\) | ||||
−0.937752 | + | 0.347305i | \(0.887097\pi\) | |||||||
\(168\) | 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 | −0.939170 | − | 0.343453i | \(-0.888403\pi\) |
−0.172146 | + | 0.985071i | \(0.555070\pi\) | |||||||
\(174\) | 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 | \(-0.428519\pi\) | ||||
0.222680 | + | 0.974892i | \(0.428519\pi\) | |||||||
\(182\) | 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 | −0.768057 | − | 0.640382i | \(-0.778776\pi\) |
0.938615 | + | 0.344966i | \(0.112110\pi\) | |||||||
\(200\) | 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 | \(-0.624250\pi\) | ||||
−0.380506 | + | 0.924778i | \(0.624250\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.0000 | − | 25.9808i | −0.0663717 | − | 0.114959i | ||||
\(227\) | 259.808 | + | 150.000i | 1.14453 | + | 0.660793i | 0.947548 | − | 0.319615i | \(-0.103553\pi\) |
0.196979 | + | 0.980408i | \(0.436887\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 125.158 | + | 216.780i | 0.546541 | + | 0.946637i | 0.998508 | + | 0.0546023i | \(0.0173891\pi\) |
−0.451967 | + | 0.892035i | \(0.649278\pi\) | |||||||
\(230\) | − | 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 | \(0.453179\pi\) |
−0.929955 | + | 0.367674i | \(0.880154\pi\) | |||||||
\(242\) | −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 | \(0.397105\pi\) | ||||
−0.317653 | + | 0.948207i | \(0.602895\pi\) | |||||||
\(252\) | 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 | −0.318199 | − | 0.948024i | \(-0.603078\pi\) |
0.661913 | + | 0.749580i | \(0.269745\pi\) | |||||||
\(258\) | 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 | 0.781142 | − | 0.624353i | \(-0.214637\pi\) |
−0.150135 | + | 0.988666i | \(0.547971\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −87.6812 | − | 151.868i | −0.323547 | − | 0.560400i | 0.657670 | − | 0.753306i | \(-0.271542\pi\) |
−0.981217 | + | 0.192906i | \(0.938209\pi\) | |||||||
\(272\) | 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 | \(0.515618\pi\) |
−0.840461 | + | 0.541872i | \(0.817716\pi\) | |||||||
\(284\) | 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 | \(-0.894894\pi\) | ||
0.945978 | − | 0.324232i | \(-0.105106\pi\) | |||||||
\(294\) | 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 | \(-0.357449\pi\) | ||||
0.433017 | + | 0.901386i | \(0.357449\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −144.000 | − | 249.415i | −0.464516 | − | 0.804566i | ||||
\(311\) | 460.726 | + | 266.000i | 1.48143 | + | 0.855305i | 0.999778 | − | 0.0210559i | \(-0.00670279\pi\) |
0.481654 | + | 0.876361i | \(0.340036\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −74.2462 | − | 128.598i | −0.237208 | − | 0.410857i | 0.722704 | − | 0.691158i | \(-0.242899\pi\) |
−0.959912 | + | 0.280301i | \(0.909566\pi\) | |||||||
\(314\) | 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 | \(-0.612617\pi\) | ||||
−0.346462 | + | 0.938064i | \(0.612617\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.00000 | − | 13.8564i | −0.0227273 | − | 0.0393648i | ||||
\(353\) | −460.726 | − | 266.000i | −1.30517 | − | 0.753541i | −0.323885 | − | 0.946096i | \(-0.604989\pi\) |
−0.981286 | + | 0.192555i | \(0.938323\pi\) | |||||||
\(354\) | 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 | \(-0.450927\pi\) |
0.778975 | − | 0.627055i | \(-0.215740\pi\) | |||||||
\(368\) | −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 | −0.192685 | − | 0.981261i | \(-0.561720\pi\) |
0.753454 | + | 0.657501i | \(0.228386\pi\) | |||||||
\(384\) | 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 | 0.977954 | − | 0.208819i | \(-0.0669619\pi\) |
−0.669820 | + | 0.742524i | \(0.733629\pi\) | |||||||
\(398\) | − | 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 | \(0.432639\pi\) |
−0.951728 | + | 0.306943i | \(0.900694\pi\) | |||||||
\(410\) | −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 | \(-0.690738\pi\) | ||
0.563999 | − | 0.825776i | \(-0.309262\pi\) | |||||||
\(420\) | 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 | \(-0.558020\pi\) | ||||
−0.181268 | + | 0.983434i | \(0.558020\pi\) | |||||||
\(434\) | 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 | 0.726436 | − | 0.687234i | \(-0.241175\pi\) |
−0.958380 | + | 0.285495i | \(0.907842\pi\) | |||||||
\(440\) | − | 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 | \(-0.722380\pi\) | ||
0.643166 | − | 0.765727i | \(-0.277620\pi\) | |||||||
\(462\) | 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 | \(0.728709\pi\) |
−0.981065 | + | 0.193679i | \(0.937958\pi\) | |||||||
\(468\) | 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 | −0.0353145 | − | 0.999376i | \(-0.511243\pi\) |
−0.883142 | + | 0.469105i | \(0.844577\pi\) | |||||||
\(480\) | 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 | \(0.216221\pi\) | ||||
−0.778027 | + | 0.628231i | \(0.783779\pi\) | |||||||
\(504\) | 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 | −0.675341 | − | 0.737505i | \(-0.736004\pi\) |
0.301028 | + | 0.953615i | \(0.402670\pi\) | |||||||
\(510\) | 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 | 0.0143466 | − | 0.999897i | \(-0.495433\pi\) |
−0.858763 | + | 0.512373i | \(0.828767\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −407.294 | − | 705.453i | −0.778764 | − | 1.34886i | −0.932655 | − | 0.360771i | \(-0.882514\pi\) |
0.153891 | − | 0.988088i | \(-0.450820\pi\) | |||||||
\(524\) | 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 | 0.236866 | − | 0.971542i | \(-0.423880\pi\) |
−0.722948 | + | 0.690903i | \(0.757213\pi\) | |||||||
\(564\) | 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 | −0.694585 | − | 0.719410i | \(-0.744412\pi\) |
0.970320 | + | 0.241823i | \(0.0777455\pi\) | |||||||
\(578\) | −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 | \(-0.917748\pi\) | ||
0.966799 | − | 0.255537i | \(-0.0822521\pi\) | |||||||
\(588\) | 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 | \(0.671505\pi\) |
−0.999885 | + | 0.0151981i | \(0.995162\pi\) | |||||||
\(594\) | 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 | \(-0.594641\pi\) | ||||
−0.292961 | + | 0.956124i | \(0.594641\pi\) | |||||||
\(602\) | 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 | \(-0.914034\pi\) |
0.250821 | − | 0.968034i | \(-0.419300\pi\) | |||||||
\(608\) | 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 | −0.656972 | − | 0.753915i | \(-0.728163\pi\) |
0.981396 | + | 0.191997i | \(0.0614963\pi\) | |||||||
\(620\) | −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 | \(-0.378021\pi\) | ||||
0.373898 | + | 0.927470i | \(0.378021\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 64.0000 | + | 110.851i | 0.0990712 | + | 0.171596i | ||||
\(647\) | 509.223 | + | 294.000i | 0.787052 | + | 0.454405i | 0.838924 | − | 0.544249i | \(-0.183185\pi\) |
−0.0518714 | + | 0.998654i | \(0.516519\pi\) | |||||||
\(648\) | 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 | −0.942876 | − | 0.333143i | \(-0.891891\pi\) |
0.759949 | + | 0.649983i | \(0.225224\pi\) | |||||||
\(662\) | −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 | −0.635226 | − | 0.772326i | \(-0.719093\pi\) |
0.351241 | + | 0.936285i | \(0.385760\pi\) | |||||||
\(678\) | 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 | 0.532644 | − | 0.846339i | \(-0.321198\pi\) |
−0.999273 | + | 0.0381139i | \(0.987865\pi\) | |||||||
\(692\) | 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 | 0.465434 | − | 0.885083i | \(-0.345898\pi\) |
0.999221 | + | 0.0394637i | \(0.0125650\pi\) | |||||||
\(720\) | 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 | \(-0.483894\pi\) | ||||
0.0505771 | + | 0.998720i | \(0.483894\pi\) | |||||||
\(728\) | 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 | 0.686465 | − | 0.727162i | \(-0.259161\pi\) |
−0.972974 | + | 0.230915i | \(0.925828\pi\) | |||||||
\(734\) | − | 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 | −0.532639 | − | 0.846342i | \(-0.678800\pi\) |
0.466635 | + | 0.884450i | \(0.345466\pi\) | |||||||
\(762\) | 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 | \(-0.439041\pi\) | ||||
0.190340 | + | 0.981718i | \(0.439041\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 218.000 | + | 377.587i | 0.282383 | + | 0.489102i | ||||
\(773\) | −261.540 | − | 151.000i | −0.338344 | − | 0.195343i | 0.321196 | − | 0.947013i | \(-0.395915\pi\) |
−0.659539 | + | 0.751670i | \(0.729249\pi\) | |||||||
\(774\) | 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 | −0.663440 | − | 0.748230i | \(-0.730904\pi\) |
0.979706 | + | 0.200441i | \(0.0642374\pi\) | |||||||
\(788\) | 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 | \(0.00599113\pi\) | ||||
−0.999823 | + | 0.0188206i | \(0.994009\pi\) | |||||||
\(798\) | 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 | \(-0.591162\pi\) | ||||
−0.282494 | + | 0.959269i | \(0.591162\pi\) | |||||||
\(812\) | 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 | \(0.437317\pi\) |
−0.947115 | + | 0.320895i | \(0.896016\pi\) | |||||||
\(830\) | 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 | \(-0.747448\pi\) | ||
0.701415 | − | 0.712753i | \(-0.252552\pi\) | |||||||
\(840\) | 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 | \(-0.752999\pi\) | ||||
−0.713738 | + | 0.700412i | \(0.752999\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −100.000 | − | 173.205i | −0.116822 | − | 0.202342i | ||||
\(857\) | 549.060 | + | 317.000i | 0.640677 | + | 0.369895i | 0.784875 | − | 0.619654i | \(-0.212727\pi\) |
−0.144198 | + | 0.989549i | \(0.546060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 800.445 | + | 1386.41i | 0.931833 | + | 1.61398i | 0.780186 | + | 0.625548i | \(0.215125\pi\) |
0.151648 | + | 0.988435i | \(0.451542\pi\) | |||||||
\(860\) | − | 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 | \(0.212766\pi\) | ||||
−0.784799 | + | 0.619750i | \(0.787234\pi\) | |||||||
\(882\) | 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 | −0.107932 | − | 0.994158i | \(-0.534423\pi\) |
0.807001 | + | 0.590551i | \(0.201089\pi\) | |||||||
\(888\) | 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 | 0.184552 | − | 0.982823i | \(-0.440917\pi\) |
0.943425 | + | 0.331585i | \(0.107583\pi\) | |||||||
\(930\) | 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 | \(-0.321997\pi\) | ||||
0.530519 | + | 0.847673i | \(0.321997\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 80.0000 | + | 138.564i | 0.0851064 | + | 0.147409i | ||||
\(941\) | 38.1051 | + | 22.0000i | 0.0404943 | + | 0.0233794i | 0.520110 | − | 0.854099i | \(-0.325891\pi\) |
−0.479616 | + | 0.877478i | \(0.659224\pi\) | |||||||
\(942\) | 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 | −0.978912 | − | 0.204280i | \(-0.934515\pi\) |
−0.312545 | + | 0.949903i | \(0.601181\pi\) | |||||||
\(972\) | 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 | 0.485838 | − | 0.874049i | \(-0.338515\pi\) |
−0.514030 | + | 0.857772i | \(0.671848\pi\) | |||||||
\(984\) | 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 | \(0.351368\pi\) |
−0.998395 | + | 0.0566272i | \(0.981965\pi\) | |||||||
\(998\) | 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.557.4 | 8 | ||
3.2 | odd | 2 | inner | 882.3.s.g.557.1 | 8 | ||
7.2 | even | 3 | inner | 882.3.s.g.863.1 | 8 | ||
7.3 | odd | 6 | 882.3.b.h.197.3 | yes | 4 | ||
7.4 | even | 3 | 882.3.b.h.197.4 | yes | 4 | ||
7.5 | odd | 6 | inner | 882.3.s.g.863.2 | 8 | ||
7.6 | odd | 2 | inner | 882.3.s.g.557.3 | 8 | ||
21.2 | odd | 6 | inner | 882.3.s.g.863.4 | 8 | ||
21.5 | even | 6 | inner | 882.3.s.g.863.3 | 8 | ||
21.11 | odd | 6 | 882.3.b.h.197.1 | ✓ | 4 | ||
21.17 | even | 6 | 882.3.b.h.197.2 | yes | 4 | ||
21.20 | even | 2 | inner | 882.3.s.g.557.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.3.b.h.197.1 | ✓ | 4 | 21.11 | odd | 6 | ||
882.3.b.h.197.2 | yes | 4 | 21.17 | even | 6 | ||
882.3.b.h.197.3 | yes | 4 | 7.3 | odd | 6 | ||
882.3.b.h.197.4 | yes | 4 | 7.4 | even | 3 | ||
882.3.s.g.557.1 | 8 | 3.2 | odd | 2 | inner | ||
882.3.s.g.557.2 | 8 | 21.20 | even | 2 | inner | ||
882.3.s.g.557.3 | 8 | 7.6 | odd | 2 | inner | ||
882.3.s.g.557.4 | 8 | 1.1 | even | 1 | trivial | ||
882.3.s.g.863.1 | 8 | 7.2 | even | 3 | inner | ||
882.3.s.g.863.2 | 8 | 7.5 | odd | 6 | inner | ||
882.3.s.g.863.3 | 8 | 21.5 | even | 6 | inner | ||
882.3.s.g.863.4 | 8 | 21.2 | odd | 6 | inner |