Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [448,3,Mod(129,448)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(448, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("448.129");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 448 = 2^{6} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 448.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: | \(12.2071158433\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 14) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 129.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 448.129 |
Dual form | 448.3.s.d.257.1 |
$q$-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 \(\left(\mathbb{Z}/448\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.621320 | − | 0.358719i | −0.207107 | − | 0.119573i | 0.392859 | − | 0.919599i | \(-0.371486\pi\) |
−0.599966 | + | 0.800025i | \(0.704819\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 5.74264 | − | 3.31552i | 1.14853 | − | 0.663103i | 0.200000 | − | 0.979796i | \(-0.435906\pi\) |
0.948528 | + | 0.316693i | \(0.102572\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.24264 | − | 3.16693i | 0.891806 | − | 0.452418i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −4.24264 | − | 7.34847i | −0.471405 | − | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.37868 | + | 4.11999i | −0.216244 | + | 0.374545i | −0.953657 | − | 0.300897i | \(-0.902714\pi\) |
0.737413 | + | 0.675442i | \(0.236047\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 15.2913i | − | 1.17625i | −0.808769 | − | 0.588126i | \(-0.799866\pi\) | ||
0.808769 | − | 0.588126i | \(-0.200134\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.75736 | −0.317157 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.25736 | − | 1.88064i | −0.191609 | − | 0.110626i | 0.401126 | − | 0.916023i | \(-0.368619\pi\) |
−0.592736 | + | 0.805397i | \(0.701952\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.62132 | + | 2.09077i | −0.190596 | + | 0.110041i | −0.592261 | − | 0.805746i | \(-0.701765\pi\) |
0.401666 | + | 0.915786i | \(0.368431\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.01472 | − | 0.271680i | −0.238796 | − | 0.0129371i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 13.8640 | + | 24.0131i | 0.602781 | + | 1.04405i | 0.992398 | + | 0.123070i | \(0.0392740\pi\) |
−0.389617 | + | 0.920977i | \(0.627393\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 9.48528 | − | 16.4290i | 0.379411 | − | 0.657160i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 12.5446i | 0.464616i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.51472 | −0.121197 | −0.0605986 | − | 0.998162i | \(-0.519301\pi\) | ||||
−0.0605986 | + | 0.998162i | \(0.519301\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −42.3198 | − | 24.4334i | −1.36516 | − | 0.788173i | −0.374850 | − | 0.927085i | \(-0.622306\pi\) |
−0.990305 | + | 0.138913i | \(0.955639\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.95584 | − | 1.70656i | 0.0895710 | − | 0.0517139i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 25.3492 | − | 38.8841i | 0.724264 | − | 1.11097i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.47056 | − | 2.54709i | −0.0397449 | − | 0.0688403i | 0.845469 | − | 0.534025i | \(-0.179321\pi\) |
−0.885214 | + | 0.465185i | \(0.845988\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.48528 | + | 9.50079i | −0.140648 | + | 0.243610i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 27.9590i | − | 0.681927i | −0.940077 | − | 0.340963i | \(-0.889247\pi\) | ||
0.940077 | − | 0.340963i | \(-0.110753\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.4853 | 0.243844 | 0.121922 | − | 0.992540i | \(-0.461094\pi\) | ||||
0.121922 | + | 0.992540i | \(0.461094\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −48.7279 | − | 28.1331i | −1.08284 | − | 0.625180i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 45.6213 | − | 26.3395i | 0.970666 | − | 0.560415i | 0.0712271 | − | 0.997460i | \(-0.477309\pi\) |
0.899439 | + | 0.437046i | \(0.143975\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 28.9411 | − | 39.5400i | 0.590635 | − | 0.806939i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.34924 | + | 2.33696i | 0.0264557 | + | 0.0458227i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 27.9853 | − | 48.4719i | 0.528024 | − | 0.914565i | −0.471442 | − | 0.881897i | \(-0.656266\pi\) |
0.999466 | − | 0.0326677i | \(-0.0104003\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 31.5462i | 0.573567i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.00000 | 0.0526316 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −33.5330 | − | 19.3603i | −0.568356 | − | 0.328141i | 0.188136 | − | 0.982143i | \(-0.439755\pi\) |
−0.756492 | + | 0.654002i | \(0.773089\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 78.3823 | − | 45.2540i | 1.28495 | − | 0.741869i | 0.307205 | − | 0.951643i | \(-0.400606\pi\) |
0.977750 | + | 0.209774i | \(0.0672729\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −49.7574 | − | 32.4377i | −0.789799 | − | 0.514884i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −50.6985 | − | 87.8124i | −0.779977 | − | 1.35096i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −17.3198 | + | 29.9988i | −0.258505 | + | 0.447743i | −0.965842 | − | 0.259134i | \(-0.916563\pi\) |
0.707337 | + | 0.706877i | \(0.249896\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − | 19.8931i | − | 0.288306i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 36.4264 | 0.513048 | 0.256524 | − | 0.966538i | \(-0.417423\pi\) | ||||
0.256524 | + | 0.966538i | \(0.417423\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 45.5589 | + | 26.3034i | 0.624094 | + | 0.360321i | 0.778461 | − | 0.627693i | \(-0.216001\pi\) |
−0.154367 | + | 0.988014i | \(0.549334\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −11.7868 | + | 6.80511i | −0.157157 | + | 0.0907348i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.80152 | + | 33.2528i | −0.0233963 | + | 0.431854i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 16.8934 | + | 29.2602i | 0.213840 | + | 0.370383i | 0.952913 | − | 0.303243i | \(-0.0980694\pi\) |
−0.739073 | + | 0.673626i | \(0.764736\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −33.6838 | + | 58.3420i | −0.415849 | + | 0.720272i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 127.577i | 1.53708i | 0.639803 | + | 0.768539i | \(0.279016\pi\) | ||||
−0.639803 | + | 0.768539i | \(0.720984\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −24.9411 | −0.293425 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.18377 | + | 1.26080i | 0.0251008 | + | 0.0144919i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −43.5883 | + | 25.1657i | −0.489756 | + | 0.282761i | −0.724473 | − | 0.689303i | \(-0.757917\pi\) |
0.234717 | + | 0.972064i | \(0.424584\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −48.4264 | − | 95.4580i | −0.532158 | − | 1.04899i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 17.5294 | + | 30.3619i | 0.188489 | + | 0.326472i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −13.8640 | + | 24.0131i | −0.145936 | + | 0.252769i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 101.792i | 1.04940i | 0.851287 | + | 0.524700i | \(0.175823\pi\) | ||||
−0.851287 | + | 0.524700i | \(0.824177\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 40.3675 | 0.407753 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 51.6838 | + | 29.8396i | 0.511720 | + | 0.295442i | 0.733541 | − | 0.679646i | \(-0.237866\pi\) |
−0.221820 | + | 0.975088i | \(0.571200\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 104.077 | − | 60.0890i | 1.01046 | − | 0.583388i | 0.0991322 | − | 0.995074i | \(-0.468393\pi\) |
0.911326 | + | 0.411686i | \(0.135060\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −29.6985 | + | 15.0662i | −0.282843 | + | 0.143488i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −56.8051 | − | 98.3893i | −0.530889 | − | 0.919526i | −0.999350 | − | 0.0360423i | \(-0.988525\pi\) |
0.468462 | − | 0.883484i | \(-0.344808\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −72.6543 | + | 125.841i | −0.666553 | + | 1.15450i | 0.312308 | + | 0.949981i | \(0.398898\pi\) |
−0.978862 | + | 0.204524i | \(0.934435\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.11008i | 0.0190097i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 34.5442 | 0.305700 | 0.152850 | − | 0.988249i | \(-0.451155\pi\) | ||||
0.152850 | + | 0.988249i | \(0.451155\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 159.231 | + | 91.9323i | 1.38462 | + | 0.799412i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −112.368 | + | 64.8754i | −0.960406 | + | 0.554491i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −26.2904 | − | 1.42432i | −0.220927 | − | 0.0119691i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 49.1838 | + | 85.1888i | 0.406477 | + | 0.704040i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −10.0294 | + | 17.3715i | −0.0815401 | + | 0.141232i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 39.9814i | 0.319851i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −247.338 | −1.94754 | −0.973772 | − | 0.227526i | \(-0.926936\pi\) | ||||
−0.973772 | + | 0.227526i | \(0.926936\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −6.51472 | − | 3.76127i | −0.0505017 | − | 0.0291572i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 127.864 | − | 73.8223i | 0.976061 | − | 0.563529i | 0.0749822 | − | 0.997185i | \(-0.476110\pi\) |
0.901079 | + | 0.433656i | \(0.142777\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.9853 | + | 24.5204i | −0.120190 | + | 0.184364i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 41.5919 | + | 72.0393i | 0.308088 | + | 0.533624i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 16.2868 | − | 28.2096i | 0.118882 | − | 0.205909i | −0.800443 | − | 0.599409i | \(-0.795402\pi\) |
0.919325 | + | 0.393500i | \(0.128736\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 68.5857i | − | 0.493422i | −0.969089 | − | 0.246711i | \(-0.920650\pi\) | ||
0.969089 | − | 0.246711i | \(-0.0793499\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −37.7939 | −0.268042 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 63.0000 | + | 36.3731i | 0.440559 | + | 0.254357i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −20.1838 | + | 11.6531i | −0.139198 | + | 0.0803662i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −32.1655 | + | 14.1853i | −0.218813 | + | 0.0964984i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 46.1985 | + | 80.0181i | 0.310057 | + | 0.537034i | 0.978374 | − | 0.206842i | \(-0.0663185\pi\) |
−0.668317 | + | 0.743876i | \(0.732985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 45.8934 | − | 79.4897i | 0.303930 | − | 0.526422i | −0.673093 | − | 0.739558i | \(-0.735035\pi\) |
0.977022 | + | 0.213136i | \(0.0683678\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 31.9155i | 0.208598i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −324.037 | −2.09056 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.32338 | − | 4.22815i | −0.0466457 | − | 0.0269309i | 0.476496 | − | 0.879177i | \(-0.341907\pi\) |
−0.523142 | + | 0.852246i | \(0.675240\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −34.7756 | + | 20.0777i | −0.218715 | + | 0.126275i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 162.595 | + | 105.999i | 1.00991 | + | 0.658378i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 110.989 | + | 192.238i | 0.680913 | + | 1.17938i | 0.974703 | + | 0.223506i | \(0.0717503\pi\) |
−0.293789 | + | 0.955870i | \(0.594916\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.3162 | − | 19.6003i | 0.0685832 | − | 0.118790i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 168.841i | 1.01102i | 0.862820 | + | 0.505511i | \(0.168696\pi\) | ||||
−0.862820 | + | 0.505511i | \(0.831304\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −64.8234 | −0.383570 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 30.7279 | + | 17.7408i | 0.179695 | + | 0.103747i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 142.323 | − | 82.1704i | 0.822678 | − | 0.474974i | −0.0286608 | − | 0.999589i | \(-0.509124\pi\) |
0.851339 | + | 0.524616i | \(0.175791\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.18377 | − | 132.599i | 0.0410501 | − | 0.757711i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.8898 | + | 24.0579i | 0.0784736 | + | 0.135920i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 92.5919 | − | 160.374i | 0.517273 | − | 0.895943i | −0.482526 | − | 0.875882i | \(-0.660280\pi\) |
0.999799 | − | 0.0200614i | \(-0.00638618\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 155.086i | 0.856830i | 0.903582 | + | 0.428415i | \(0.140928\pi\) | ||||
−0.903582 | + | 0.428415i | \(0.859072\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −64.9340 | −0.354831 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −16.8898 | − | 9.75135i | −0.0912964 | − | 0.0527100i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.4964 | − | 8.94687i | 0.0828686 | − | 0.0478442i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 39.7279 | + | 78.3116i | 0.210201 | + | 0.414347i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −124.048 | − | 214.857i | −0.649465 | − | 1.12491i | −0.983251 | − | 0.182257i | \(-0.941660\pi\) |
0.333786 | − | 0.942649i | \(-0.391674\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −77.1690 | + | 133.661i | −0.399840 | + | 0.692543i | −0.993706 | − | 0.112021i | \(-0.964268\pi\) |
0.593866 | + | 0.804564i | \(0.297601\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 72.7461i | 0.373057i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 181.103 | 0.919303 | 0.459651 | − | 0.888099i | \(-0.347974\pi\) | ||||
0.459651 | + | 0.888099i | \(0.347974\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 301.989 | + | 174.353i | 1.51753 | + | 0.876147i | 0.999788 | + | 0.0206121i | \(0.00656150\pi\) |
0.517744 | + | 0.855535i | \(0.326772\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 21.5223 | − | 12.4259i | 0.107076 | − | 0.0618204i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −21.9411 | + | 11.1309i | −0.108084 | + | 0.0548318i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −92.6985 | − | 160.558i | −0.452188 | − | 0.783212i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 117.640 | − | 203.758i | 0.568307 | − | 0.984337i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 19.8931i | − | 0.0951823i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −364.073 | −1.72547 | −0.862733 | − | 0.505660i | \(-0.831249\pi\) | ||||
−0.862733 | + | 0.505660i | \(0.831249\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −22.6325 | − | 13.0669i | −0.106256 | − | 0.0613468i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 60.2132 | − | 34.7641i | 0.280061 | − | 0.161694i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −341.566 | − | 18.5048i | −1.57404 | − | 0.0852757i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −18.8711 | − | 32.6857i | −0.0861694 | − | 0.149250i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −28.7574 | + | 49.8092i | −0.130124 | + | 0.225381i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 123.231i | 0.552603i | 0.961071 | + | 0.276302i | \(0.0891089\pi\) | ||||
−0.961071 | + | 0.276302i | \(0.910891\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −160.971 | −0.715425 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 66.1432 | + | 38.1878i | 0.291380 | + | 0.168228i | 0.638564 | − | 0.769569i | \(-0.279529\pi\) |
−0.347184 | + | 0.937797i | \(0.612862\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −309.419 | + | 178.643i | −1.35117 | + | 0.780101i | −0.988414 | − | 0.151782i | \(-0.951499\pi\) |
−0.362760 | + | 0.931883i | \(0.618166\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.0477 | − | 20.0144i | 0.0564837 | − | 0.0866423i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 136.537 | + | 236.488i | 0.585994 | + | 1.01497i | 0.994751 | + | 0.102328i | \(0.0326291\pi\) |
−0.408757 | + | 0.912643i | \(0.634038\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 174.658 | − | 302.516i | 0.743225 | − | 1.28730i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 24.2400i | − | 0.102278i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −265.103 | −1.10922 | −0.554608 | − | 0.832112i | \(-0.687132\pi\) | ||||
−0.554608 | + | 0.832112i | \(0.687132\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −75.8970 | − | 43.8191i | −0.314925 | − | 0.181822i | 0.334203 | − | 0.942501i | \(-0.391533\pi\) |
−0.649128 | + | 0.760679i | \(0.724866\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 139.632 | − | 80.6168i | 0.574619 | − | 0.331757i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 35.1030 | − | 323.019i | 0.143278 | − | 1.31844i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 31.9706 | + | 55.3746i | 0.129435 | + | 0.224189i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 45.7645 | − | 79.2664i | 0.183793 | − | 0.318339i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 495.655i | 1.97472i | 0.158491 | + | 0.987360i | \(0.449337\pi\) | ||||
−0.158491 | + | 0.987360i | \(0.550663\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −131.912 | −0.521390 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 15.4964 | + | 8.94687i | 0.0607703 | + | 0.0350858i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 346.875 | − | 200.268i | 1.34971 | − | 0.779254i | 0.361499 | − | 0.932372i | \(-0.382265\pi\) |
0.988208 | + | 0.153119i | \(0.0489317\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −17.2466 | − | 11.2434i | −0.0665894 | − | 0.0434108i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 14.9117 | + | 25.8278i | 0.0571329 | + | 0.0989571i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 16.1726 | − | 28.0118i | 0.0614928 | − | 0.106509i | −0.833640 | − | 0.552308i | \(-0.813747\pi\) |
0.895133 | + | 0.445799i | \(0.147081\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 371.142i | − | 1.40054i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 36.1097 | 0.135242 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 265.838 | + | 153.482i | 0.988246 | + | 0.570564i | 0.904749 | − | 0.425944i | \(-0.140058\pi\) |
0.0834963 | + | 0.996508i | \(0.473391\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −65.8051 | + | 37.9926i | −0.242823 | + | 0.140194i | −0.616474 | − | 0.787376i | \(-0.711439\pi\) |
0.373650 | + | 0.927570i | \(0.378106\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.15433 | + | 76.6815i | −0.0152173 | + | 0.280885i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 45.1249 | + | 78.1586i | 0.164091 | + | 0.284213i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 139.206 | − | 241.111i | 0.502547 | − | 0.870438i | −0.497448 | − | 0.867494i | \(-0.665730\pi\) |
0.999996 | − | 0.00294398i | \(-0.000937098\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 414.648i | 1.48619i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 394.690 | 1.40459 | 0.702296 | − | 0.711885i | \(-0.252158\pi\) | ||||
0.702296 | + | 0.711885i | \(0.252158\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −126.783 | − | 73.1981i | −0.447996 | − | 0.258650i | 0.258988 | − | 0.965881i | \(-0.416611\pi\) |
−0.706983 | + | 0.707230i | \(0.749944\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 17.2279 | − | 9.94655i | 0.0604488 | − | 0.0349002i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −88.5442 | − | 174.538i | −0.308516 | − | 0.608146i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −137.426 | − | 238.030i | −0.475524 | − | 0.823632i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 36.5147 | − | 63.2453i | 0.125480 | − | 0.217338i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 299.678i | − | 1.02279i | −0.859345 | − | 0.511396i | \(-0.829128\pi\) | ||
0.859345 | − | 0.511396i | \(-0.170872\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −256.757 | −0.870364 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −51.6838 | − | 29.8396i | −0.174019 | − | 0.100470i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 367.191 | − | 211.998i | 1.22806 | − | 0.709023i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 65.4558 | − | 33.2061i | 0.217461 | − | 0.110319i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.4081 | − | 37.0799i | −0.0706539 | − | 0.122376i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 300.081 | − | 519.755i | 0.983871 | − | 1.70412i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.9886i | 0.0683666i | 0.999416 | + | 0.0341833i | \(0.0108830\pi\) | ||||
−0.999416 | + | 0.0341833i | \(0.989117\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −86.2203 | −0.279030 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 157.651 | + | 91.0197i | 0.506916 | + | 0.292668i | 0.731565 | − | 0.681772i | \(-0.238790\pi\) |
−0.224649 | + | 0.974440i | \(0.572124\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −84.8087 | + | 48.9643i | −0.270954 | + | 0.156435i | −0.629321 | − | 0.777145i | \(-0.716667\pi\) |
0.358367 | + | 0.933581i | \(0.383334\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −393.286 | − | 21.3068i | −1.24853 | − | 0.0676408i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −240.985 | − | 417.399i | −0.760206 | − | 1.31672i | −0.942744 | − | 0.333517i | \(-0.891765\pi\) |
0.182538 | − | 0.983199i | \(-0.441569\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.36039 | − | 14.4806i | 0.0262081 | − | 0.0453938i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 81.5084i | 0.253920i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.7279 | 0.0486933 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −251.220 | − | 145.042i | −0.772986 | − | 0.446283i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 90.2832 | − | 52.1250i | 0.276095 | − | 0.159404i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 201.382 | − | 308.907i | 0.612104 | − | 0.938928i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 112.504 | + | 194.862i | 0.339890 | + | 0.588707i | 0.984412 | − | 0.175879i | \(-0.0562768\pi\) |
−0.644522 | + | 0.764586i | \(0.722944\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −12.4781 | + | 21.6128i | −0.0374719 | + | 0.0649032i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 229.696i | 0.685661i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −264.368 | −0.784473 | −0.392237 | − | 0.919864i | \(-0.628299\pi\) | ||||
−0.392237 | + | 0.919864i | \(0.628299\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −21.4630 | − | 12.3917i | −0.0633126 | − | 0.0365536i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 201.331 | − | 116.238i | 0.590412 | − | 0.340875i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 55.4487 | − | 338.488i | 0.161658 | − | 0.986847i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −65.9558 | − | 114.239i | −0.191176 | − | 0.331127i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −95.6285 | + | 165.633i | −0.275586 | + | 0.477330i | −0.970283 | − | 0.241973i | \(-0.922205\pi\) |
0.694697 | + | 0.719303i | \(0.255539\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 135.448i | − | 0.388104i | −0.980991 | − | 0.194052i | \(-0.937837\pi\) | ||
0.980991 | − | 0.194052i | \(-0.0621630\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 191.823 | 0.546505 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −301.802 | − | 174.245i | −0.854962 | − | 0.493612i | 0.00736010 | − | 0.999973i | \(-0.497657\pi\) |
−0.862322 | + | 0.506360i | \(0.830991\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 209.184 | − | 120.772i | 0.589250 | − | 0.340204i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 15.8238 | + | 10.3158i | 0.0443244 | + | 0.0288959i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −152.415 | − | 263.991i | −0.424555 | − | 0.735351i | 0.571824 | − | 0.820377i | \(-0.306236\pi\) |
−0.996379 | + | 0.0850256i | \(0.972903\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −171.757 | + | 297.492i | −0.475782 | + | 0.824079i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 70.5727i | − | 0.194415i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 348.838 | 0.955720 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −82.2761 | − | 47.5021i | −0.224186 | − | 0.129434i | 0.383701 | − | 0.923457i | \(-0.374649\pi\) |
−0.607887 | + | 0.794024i | \(0.707983\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −205.456 | + | 118.620i | −0.556791 | + | 0.321463i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 21.1949 | − | 391.220i | 0.0571291 | − | 1.05450i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 126.779 | + | 219.588i | 0.339891 | + | 0.588708i | 0.984412 | − | 0.175879i | \(-0.0562766\pi\) |
−0.644521 | + | 0.764586i | \(0.722943\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.3421 | − | 24.8412i | 0.0382456 | − | 0.0662433i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 53.7446i | 0.142559i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −508.250 | −1.34103 | −0.670514 | − | 0.741897i | \(-0.733926\pi\) | ||||
−0.670514 | + | 0.741897i | \(0.733926\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 153.676 | + | 88.7250i | 0.403350 | + | 0.232874i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 413.753 | − | 238.881i | 1.08030 | − | 0.623709i | 0.149320 | − | 0.988789i | \(-0.452292\pi\) |
0.930976 | + | 0.365080i | \(0.118958\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 99.9045 | + | 196.932i | 0.259492 | + | 0.511511i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −44.4853 | − | 77.0508i | −0.114949 | − | 0.199098i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 85.1102 | − | 147.415i | 0.218792 | − | 0.378959i | −0.735647 | − | 0.677365i | \(-0.763122\pi\) |
0.954439 | + | 0.298406i | \(0.0964550\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 104.292i | − | 0.266732i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −105.926 | −0.269532 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 194.025 | + | 112.021i | 0.491204 | + | 0.283597i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −211.786 | + | 122.275i | −0.533467 | + | 0.307997i | −0.742427 | − | 0.669927i | \(-0.766325\pi\) |
0.208960 | + | 0.977924i | \(0.432992\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 18.7279 | − | 9.50079i | 0.0469371 | − | 0.0238115i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 208.786 | + | 361.629i | 0.520664 | + | 0.901817i | 0.999711 | + | 0.0240277i | \(0.00764899\pi\) |
−0.479047 | + | 0.877789i | \(0.659018\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −373.617 | + | 647.124i | −0.927090 | + | 1.60577i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 446.716i | 1.10300i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.9920 | 0.0343784 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 266.919 | + | 154.106i | 0.652614 | + | 0.376787i | 0.789457 | − | 0.613806i | \(-0.210362\pi\) |
−0.136843 | + | 0.990593i | \(0.543696\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −20.2386 | + | 11.6848i | −0.0492424 | + | 0.0284301i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −270.647 | − | 14.6627i | −0.655320 | − | 0.0355029i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 422.985 | + | 732.631i | 1.01924 | + | 1.76538i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −24.6030 | + | 42.6137i | −0.0590001 | + | 0.102191i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 103.142i | 0.246163i | 0.992397 | + | 0.123081i | \(0.0392776\pi\) | ||||
−0.992397 | + | 0.123081i | \(0.960722\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 165.220 | 0.392447 | 0.196224 | − | 0.980559i | \(-0.437132\pi\) | ||||
0.196224 | + | 0.980559i | \(0.437132\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −387.110 | − | 223.498i | −0.915153 | − | 0.528364i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −61.7939 | + | 35.6767i | −0.145398 | + | 0.0839453i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 345.996 | − | 530.736i | 0.810295 | − | 1.24294i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −26.0955 | − | 45.1987i | −0.0608286 | − | 0.105358i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −297.268 | + | 514.883i | −0.689717 | + | 1.19463i | 0.282212 | + | 0.959352i | \(0.408932\pi\) |
−0.971929 | + | 0.235273i | \(0.924402\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 40.6267i | − | 0.0938261i | −0.998899 | − | 0.0469131i | \(-0.985062\pi\) | ||
0.998899 | − | 0.0469131i | \(-0.0149384\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 16.7208 | 0.0384386 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −100.412 | − | 57.9727i | −0.229775 | − | 0.132661i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 126.959 | − | 73.3001i | 0.289201 | − | 0.166971i | −0.348380 | − | 0.937353i | \(-0.613268\pi\) |
0.637582 | + | 0.770383i | \(0.279935\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −413.345 | − | 44.9190i | −0.937291 | − | 0.101857i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 53.6802 | + | 92.9768i | 0.121174 | + | 0.209880i | 0.920231 | − | 0.391376i | \(-0.128001\pi\) |
−0.799057 | + | 0.601256i | \(0.794667\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −166.875 | + | 289.035i | −0.374999 | + | 0.649518i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 66.2892i | − | 0.148298i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 135.161 | 0.301028 | 0.150514 | − | 0.988608i | \(-0.451907\pi\) | ||||
0.150514 | + | 0.988608i | \(0.451907\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 115.191 | + | 66.5055i | 0.255412 | + | 0.147462i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −57.0290 | + | 32.9257i | −0.125892 | + | 0.0726837i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −594.588 | − | 387.622i | −1.30679 | − | 0.851918i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −79.8675 | − | 138.335i | −0.174765 | − | 0.302702i | 0.765315 | − | 0.643656i | \(-0.222583\pi\) |
−0.940080 | + | 0.340954i | \(0.889250\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 23.5919 | − | 40.8623i | 0.0513984 | − | 0.0890247i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 310.250i | − | 0.672993i | −0.941685 | − | 0.336497i | \(-0.890758\pi\) | ||
0.941685 | − | 0.336497i | \(-0.109242\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −326.014 | −0.704135 | −0.352067 | − | 0.935975i | \(-0.614521\pi\) | ||||
−0.352067 | + | 0.935975i | \(0.614521\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 201.331 | + | 116.238i | 0.432969 | + | 0.249975i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −515.769 | + | 297.779i | −1.10443 | + | 0.637643i | −0.937381 | − | 0.348306i | \(-0.886757\pi\) |
−0.167048 | + | 0.985949i | \(0.553424\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.1173 | + | 242.122i | −0.0279687 | + | 0.516252i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.03344 | + | 5.25408i | 0.00644043 | + | 0.0111551i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −24.9411 | + | 43.1993i | −0.0527297 | + | 0.0913304i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 79.3262i | 0.167002i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −474.926 | −0.995652 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 438.798 | + | 253.340i | 0.916071 | + | 0.528894i | 0.882379 | − | 0.470539i | \(-0.155940\pi\) |
0.0336914 | + | 0.999432i | \(0.489274\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.9483 | + | 22.4868i | −0.0809735 | + | 0.0467501i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −63.0000 | − | 124.185i | −0.130435 | − | 0.257113i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 337.492 | + | 584.554i | 0.695861 | + | 1.20527i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −105.651 | + | 182.992i | −0.216942 | + | 0.375755i | −0.953872 | − | 0.300215i | \(-0.902942\pi\) |
0.736930 | + | 0.675970i | \(0.236275\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 159.255i | − | 0.325676i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 784.161 | 1.59707 | 0.798534 | − | 0.601949i | \(-0.205609\pi\) | ||||
0.798534 | + | 0.601949i | \(0.205609\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.4487 | + | 6.60991i | 0.0232225 | + | 0.0134075i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 231.816 | − | 133.839i | 0.468316 | − | 0.270382i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 227.397 | − | 115.360i | 0.457539 | − | 0.232112i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −85.7462 | − | 148.517i | −0.171836 | − | 0.297629i | 0.767226 | − | 0.641377i | \(-0.221637\pi\) |
−0.939062 | + | 0.343748i | \(0.888303\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 60.5665 | − | 104.904i | 0.120891 | − | 0.209390i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 20.0883i | − | 0.0399370i | −0.999801 | − | 0.0199685i | \(-0.993643\pi\) | ||
0.999801 | − | 0.0199685i | \(-0.00635659\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 395.735 | 0.783634 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 40.2761 | + | 23.2534i | 0.0794400 | + | 0.0458647i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 412.890 | − | 238.382i | 0.811178 | − | 0.468334i | −0.0361865 | − | 0.999345i | \(-0.511521\pi\) |
0.847365 | + | 0.531011i | \(0.178188\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 367.709 | + | 19.9211i | 0.719587 | + | 0.0389846i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −26.2279 | − | 45.4281i | −0.0511266 | − | 0.0885538i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 398.452 | − | 690.139i | 0.773693 | − | 1.34008i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 250.613i | 0.484744i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −117.905 | −0.227176 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 739.823 | + | 427.137i | 1.42001 | + | 0.819841i | 0.996299 | − | 0.0859587i | \(-0.0273953\pi\) |
0.423707 | + | 0.905799i | \(0.360729\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 513.554 | − | 296.501i | 0.981940 | − | 0.566923i | 0.0790845 | − | 0.996868i | \(-0.474800\pi\) |
0.902855 | + | 0.429945i | \(0.141467\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −52.0294 | + | 79.8098i | −0.0991037 | + | 0.152019i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 91.9005 | + | 159.176i | 0.174384 | + | 0.302043i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −119.919 | + | 207.706i | −0.226690 | + | 0.392638i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 328.555i | 0.618748i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −427.529 | −0.802118 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −652.422 | − | 376.676i | −1.21948 | − | 0.704068i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −115.058 | + | 66.4290i | −0.214262 | + | 0.123704i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 94.0629 | + | 213.290i | 0.174514 | + | 0.395715i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 427.595 | + | 740.617i | 0.790380 | + | 1.36898i | 0.925732 | + | 0.378180i | \(0.123450\pi\) |
−0.135352 | + | 0.990798i | \(0.543217\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 55.6325 | − | 96.3583i | 0.102454 | − | 0.177455i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 963.546i | 1.76797i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −415.897 | −0.760323 | −0.380161 | − | 0.924920i | \(-0.624132\pi\) | ||||
−0.380161 | + | 0.924920i | \(0.624132\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −665.095 | − | 383.993i | −1.21147 | − | 0.699441i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 12.7279 | − | 7.34847i | 0.0230997 | − | 0.0133366i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 198.124 | + | 129.161i | 0.358272 | + | 0.233564i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 6.99600 | + | 12.1174i | 0.0126054 | + | 0.0218332i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −292.110 | + | 505.950i | −0.524435 | + | 0.908348i | 0.475160 | + | 0.879899i | \(0.342390\pi\) |
−0.999595 | + | 0.0284485i | \(0.990943\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 160.333i | − | 0.286822i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.8377 | −0.0228835 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −789.076 | − | 455.573i | −1.40156 | − | 0.809189i | −0.407004 | − | 0.913426i | \(-0.633427\pi\) |
−0.994552 | + | 0.104237i | \(0.966760\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 198.375 | − | 114.532i | 0.351106 | − | 0.202711i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −25.5107 | + | 470.882i | −0.0449924 | + | 0.830480i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −350.000 | − | 606.217i | −0.615113 | − | 1.06541i | −0.990365 | − | 0.138485i | \(-0.955777\pi\) |
0.375251 | − | 0.926923i | \(-0.377556\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −281.231 | + | 487.107i | −0.492525 | + | 0.853077i | −0.999963 | − | 0.00861055i | \(-0.997259\pi\) |
0.507438 | + | 0.861688i | \(0.330592\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 177.993i | 0.310634i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 526.014 | 0.914807 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −573.014 | − | 330.830i | −0.993092 | − | 0.573362i | −0.0868946 | − | 0.996218i | \(-0.527694\pi\) |
−0.906197 | + | 0.422856i | \(0.861028\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 95.8934 | − | 55.3641i | 0.165619 | − | 0.0956202i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 404.029 | + | 796.420i | 0.695402 | + | 1.37077i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 133.136 | + | 230.598i | 0.228364 | + | 0.395538i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −430.191 | + | 745.113i | −0.735369 | + | 1.27370i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 823.029i | 1.40209i | 0.713116 | + | 0.701046i | \(0.247283\pi\) | ||||
−0.713116 | + | 0.701046i | \(0.752717\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 204.338 | 0.346924 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −112.523 | − | 64.9650i | −0.190394 | − | 0.109924i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −538.890 | + | 311.128i | −0.908752 | + | 0.524668i | −0.880029 | − | 0.474919i | \(-0.842477\pi\) |
−0.0287225 | + | 0.999587i | \(0.509144\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −155.698 | + | 78.9868i | −0.261678 | + | 0.132751i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −125.088 | − | 216.659i | −0.209527 | − | 0.362912i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 256.422 | − | 444.137i | 0.428084 | − | 0.741463i | −0.568619 | − | 0.822601i | \(-0.692522\pi\) |
0.996703 | + | 0.0811377i | \(0.0258554\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 680.160i | 1.13171i | 0.824504 | + | 0.565857i | \(0.191454\pi\) | ||||
−0.824504 | + | 0.565857i | \(0.808546\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 293.927 | 0.487441 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 564.889 | + | 326.139i | 0.933701 | + | 0.539073i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.5482 | − | 19.3690i | 0.0552688 | − | 0.0319095i | −0.472111 | − | 0.881539i | \(-0.656508\pi\) |
0.527380 | + | 0.849630i | \(0.323175\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 17.6253 | + | 0.954877i | 0.0289414 | + | 0.00156794i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −402.765 | − | 697.609i | −0.659189 | − | 1.14175i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 200.552 | − | 347.366i | 0.327164 | − | 0.566665i | −0.654784 | − | 0.755816i | \(-0.727240\pi\) |
0.981948 | + | 0.189151i | \(0.0605736\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 133.011i | 0.216278i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −959.044 | −1.55437 | −0.777183 | − | 0.629275i | \(-0.783352\pi\) | ||||
−0.777183 | + | 0.629275i | \(0.783352\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 869.951 | + | 502.267i | 1.40541 | + | 0.811416i | 0.994941 | − | 0.100457i | \(-0.0320303\pi\) |
0.410473 | + | 0.911873i | \(0.365364\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −301.235 | + | 173.918i | −0.485081 | + | 0.280061i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −192.408 | + | 295.142i | −0.308841 | + | 0.473743i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 369.691 | + | 640.323i | 0.591505 | + | 1.02452i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −7.13604 | + | 12.3600i | −0.0113812 | + | 0.0197129i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 11.0624i | 0.0175873i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −386.514 | −0.612542 | −0.306271 | − | 0.951944i | \(-0.599081\pi\) | ||||
−0.306271 | + | 0.951944i | \(0.599081\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 226.206 | + | 130.600i | 0.357356 | + | 0.206319i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1420.37 | + | 820.053i | −2.23681 | + | 1.29142i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −604.617 | − | 442.547i | −0.949164 | − | 0.694736i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −154.544 | − | 267.678i | −0.241853 | − | 0.418902i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 496.074 | − | 859.225i | 0.773906 | − | 1.34044i | −0.161502 | − | 0.986872i | \(-0.551634\pi\) |
0.935407 | − | 0.353572i | \(-0.115033\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 944.986i | − | 1.46965i | −0.678256 | − | 0.734826i | \(-0.737264\pi\) | ||
0.678256 | − | 0.734826i | \(-0.262736\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −49.8823 | −0.0773368 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.50357 | + | 1.44544i | 0.00386951 | + | 0.00223406i | 0.501934 | − | 0.864906i | \(-0.332622\pi\) |
−0.498064 | + | 0.867140i | \(0.665956\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 159.529 | − | 92.1039i | 0.245807 | − | 0.141917i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 205.584 | + | 134.024i | 0.315797 | + | 0.205874i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −161.529 | − | 279.777i | −0.247365 | − | 0.428449i | 0.715429 | − | 0.698686i | \(-0.246231\pi\) |
−0.962794 | + | 0.270237i | \(0.912898\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 489.518 | − | 847.870i | 0.747356 | − | 1.29446i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 446.384i | − | 0.679428i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −295.955 | −0.449098 | −0.224549 | − | 0.974463i | \(-0.572091\pi\) | ||||
−0.224549 | + | 0.974463i | \(0.572091\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.9710 | − | 10.3756i | −0.0271876 | − | 0.0156968i | 0.486345 | − | 0.873767i | \(-0.338330\pi\) |
−0.513532 | + | 0.858070i | \(0.671663\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 35.7351 | − | 20.6316i | 0.0538990 | − | 0.0311186i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.5000 | + | 193.811i | −0.0157895 | + | 0.291445i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.7279 | − | 84.3992i | −0.0730554 | − | 0.126536i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 44.2052 | − | 76.5656i | 0.0660765 | − | 0.114448i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 430.579i | 0.641698i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 627.044 | 0.931714 | 0.465857 | − | 0.884860i | \(-0.345746\pi\) | ||||
0.465857 | + | 0.884860i | \(0.345746\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 206.095 | + | 118.989i | 0.305327 | + | 0.176280i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 94.6097 | − | 54.6230i | 0.139749 | − | 0.0806838i | −0.428496 | − | 0.903544i | \(-0.640956\pi\) |
0.568244 | + | 0.822860i | \(0.307623\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 322.368 | + | 635.450i | 0.474768 | + | 0.935861i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −27.3974 | − | 47.4537i | −0.0402311 | − | 0.0696824i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 396.783 | − | 687.248i | 0.580941 | − | 1.00622i | −0.414427 | − | 0.910083i | \(-0.636018\pi\) |
0.995368 | − | 0.0961370i | \(-0.0306487\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 215.996i | − | 0.315323i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 256.331 | 0.373116 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −741.198 | − | 427.931i | −1.07576 | − | 0.621090i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −159.253 | + | 91.9447i | −0.230467 | + | 0.133060i | −0.610788 | − | 0.791794i | \(-0.709147\pi\) |
0.380320 | + | 0.924855i | \(0.375814\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 252.000 | − | 127.841i | 0.363636 | − | 0.184475i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −227.397 | − | 393.863i | −0.327190 | − | 0.566710i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −52.5807 | + | 91.0725i | −0.0754386 | + | 0.130664i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 195.913i | − | 0.280277i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1043.82 | 1.48905 | 0.744525 | − | 0.667595i | \(-0.232676\pi\) | ||||
0.744525 | + | 0.667595i | \(0.232676\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.6508 | + | 6.14922i | 0.0151504 | + | 0.00874711i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −217.037 | + | 125.306i | −0.307854 | + | 0.177740i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 417.143 | + | 22.5993i | 0.590019 | + | 0.0319651i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −490.279 | − | 849.188i | −0.691507 | − | 1.19773i | −0.971344 | − | 0.237678i | \(-0.923614\pi\) |
0.279836 | − | 0.960048i | \(-0.409720\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 143.345 | − | 248.281i | 0.201611 | − | 0.349200i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − | 1354.97i | − | 1.90038i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 482.382 | 0.674660 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 164.714 | + | 95.0975i | 0.229726 | + | 0.132632i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −674.187 | + | 389.242i | −0.937673 | + | 0.541366i | −0.889230 | − | 0.457460i | \(-0.848759\pi\) |
−0.0484429 | + | 0.998826i | \(0.515426\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 459.419 | − | 704.719i | 0.637197 | − | 0.977419i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 31.4376 | + | 54.4514i | 0.0434821 | + | 0.0753132i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −33.3381 | + | 57.7433i | −0.0459836 | + | 0.0796459i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 735.255i | − | 1.01135i | −0.862723 | − | 0.505677i | \(-0.831243\pi\) | ||
0.862723 | − | 0.505677i | \(-0.168757\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 490.632 | 0.673021 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −34.1543 | − | 19.7190i | −0.0467227 | − | 0.0269754i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 414.705 | − | 239.430i | 0.565764 | − | 0.326644i | −0.189692 | − | 0.981844i | \(-0.560749\pi\) |
0.755456 | + | 0.655200i | \(0.227415\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −137.683 | + | 188.106i | −0.187324 | + | 0.255926i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −82.3965 | − | 142.715i | −0.111800 | − | 0.193643i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.95227 | + | 17.2378i | −0.0134672 | + | 0.0233259i | −0.872680 | − | 0.488292i | \(-0.837620\pi\) |
0.859213 | + | 0.511618i | \(0.170954\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 45.8739i | − | 0.0619080i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.3095 | 0.0582901 | 0.0291450 | − | 0.999575i | \(-0.490722\pi\) | ||||
0.0291450 | + | 0.999575i | \(0.490722\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 530.603 | + | 306.344i | 0.712218 | + | 0.411199i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 937.499 | − | 541.265i | 1.25502 | − | 0.724585i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −666.206 | − | 434.311i | −0.889460 | − | 0.579855i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −112.665 | − | 195.142i | −0.150020 | − | 0.259842i | 0.781215 | − | 0.624263i | \(-0.214600\pi\) |
−0.931235 | + | 0.364420i | \(0.881267\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 177.801 | − | 307.961i | 0.236124 | − | 0.408978i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 608.641i | − | 0.806147i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −935.779 | −1.23617 | −0.618084 | − | 0.786112i | \(-0.712091\pi\) | ||||
−0.618084 | + | 0.786112i | \(0.712091\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 81.9594 | + | 47.3193i | 0.107983 | + | 0.0623443i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1214.79 | − | 701.357i | 1.59630 | − | 0.921625i | 0.604110 | − | 0.796901i | \(-0.293529\pi\) |
0.992191 | − | 0.124724i | \(-0.0398046\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −55.0254 | + | 1015.67i | −0.0721172 | + | 1.33115i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 105.816 | + | 183.279i | 0.138322 | + | 0.239581i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −296.044 | + | 512.763i | −0.385976 | + | 0.668530i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.72330i | 0.00224097i | 0.999999 | + | 0.00112048i | \(0.000356661\pi\) | ||||
−0.999999 | + | 0.00112048i | \(0.999643\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −287.360 | −0.372711 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −194.213 | − | 112.129i | −0.251245 | − | 0.145057i | 0.369089 | − | 0.929394i | \(-0.379670\pi\) |
−0.620334 | + | 0.784337i | \(0.713003\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −802.831 | + | 463.514i | −1.03591 | + | 0.598083i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.68247 | + | 13.1725i | 0.00860034 | + | 0.0169530i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 58.4558 | + | 101.248i | 0.0750396 | + | 0.129972i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −86.6468 | + | 150.077i | −0.110943 | + | 0.192160i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 44.0908i | − | 0.0563101i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −56.0740 | −0.0714319 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −60.7979 | − | 35.1017i | −0.0772528 | − | 0.0446019i | 0.460876 | − | 0.887465i | \(-0.347535\pi\) |
−0.538129 | + | 0.842863i | \(0.680869\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −20.0968 | + | 11.6029i | −0.0254712 | + | 0.0147058i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 215.647 | − | 109.399i | 0.272625 | − | 0.138305i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −691.992 | − | 1198.57i | −0.872625 | − | 1.51143i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −133.136 | + | 230.598i | −0.167467 | + | 0.290061i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 1305.38i | − | 1.63787i | −0.573889 | − | 0.818933i | \(-0.694566\pi\) | ||
0.573889 | − | 0.818933i | \(-0.305434\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −198.140 | −0.247985 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 369.859 | + | 213.538i | 0.461747 | + | 0.266590i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −216.740 | + | 125.135i | −0.269913 | + | 0.155834i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1285.17 | + | 69.6258i | 1.59648 | + | 0.0864917i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −110.114 | − | 190.723i | −0.136448 | − | 0.236335i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −381.382 | + | 660.573i | −0.471424 | + | 0.816531i | −0.999466 | − | 0.0326879i | \(-0.989593\pi\) |
0.528041 | + | 0.849219i | \(0.322927\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1214.98i | − | 1.49813i | −0.662498 | − | 0.749064i | \(-0.730504\pi\) | ||
0.662498 | − | 0.749064i | \(-0.269496\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 54.5147 | 0.0670538 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1274.74 | + | 735.970i | 1.56410 | + | 0.903031i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −37.9706 | + | 21.9223i | −0.0464756 | + | 0.0268327i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −496.014 | + | 760.854i | −0.605634 | + | 0.929004i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −291.684 | − | 505.211i | −0.355279 | − | 0.615361i | 0.631887 | − | 0.775061i | \(-0.282281\pi\) |
−0.987166 | + | 0.159700i | \(0.948947\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −515.371 | + | 892.648i | −0.626210 | + | 1.08463i | 0.362096 | + | 0.932141i | \(0.382061\pi\) |
−0.988306 | + | 0.152486i | \(0.951272\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | − | 64.7487i | − | 0.0784833i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −152.102 | −0.183920 | −0.0919599 | − | 0.995763i | \(-0.529313\pi\) | ||||
−0.0919599 | + | 0.995763i | \(0.529313\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −532.095 | − | 307.205i | −0.641852 | − | 0.370573i | 0.143476 | − | 0.989654i | \(-0.454172\pi\) |
−0.785327 | + | 0.619081i | \(0.787505\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −172.983 | + | 99.8715i | −0.208162 | + | 0.120182i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −168.632 | + | 74.3682i | −0.202439 | + | 0.0892776i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 559.794 | + | 969.592i | 0.670412 | + | 1.16119i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 306.507 | − | 530.886i | 0.366197 | − | 0.634272i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 1546.14i | − | 1.84284i | −0.388568 | − | 0.921420i | \(-0.627030\pi\) | ||
0.388568 | − | 0.921420i | \(-0.372970\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −828.647 | −0.985311 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −245.229 | − | 141.583i | −0.290901 | − | 0.167952i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −372.257 | + | 214.923i | −0.440541 | + | 0.254347i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 576.823 | + | 376.041i | 0.681019 | + | 0.443969i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 52.5152 | + | 90.9589i | 0.0618553 | + | 0.107137i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 40.7756 | − | 70.6255i | 0.0479150 | − | 0.0829912i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1235.15i | 1.44800i | 0.689798 | + | 0.724002i | \(0.257699\pi\) | ||||
−0.689798 | + | 0.724002i | \(0.742301\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 235.279 | 0.275180 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −953.219 | − | 550.341i | −1.11227 | − | 0.642172i | −0.172857 | − | 0.984947i | \(-0.555300\pi\) |
−0.939417 | + | 0.342775i | \(0.888633\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −512.488 | + | 295.885i | −0.596610 | + | 0.344453i | −0.767707 | − | 0.640801i | \(-0.778602\pi\) |
0.171096 | + | 0.985254i | \(0.445269\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.59589 | + | 140.207i | −0.00882217 | + | 0.162841i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 32.3635 | + | 56.0553i | 0.0375012 | + | 0.0649540i | 0.884167 | − | 0.467171i | \(-0.154727\pi\) |
−0.846666 | + | 0.532125i | \(0.821394\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 544.875 | − | 943.751i | 0.629913 | − | 1.09104i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 197.190i | 0.227440i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −160.736 | −0.184967 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 458.720 | + | 264.842i | 0.526659 | + | 0.304067i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 748.014 | − | 431.866i | 0.856832 | − | 0.494692i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 126.618 | + | 249.589i | 0.144706 | + | 0.285245i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −152.096 | − | 263.438i | −0.173427 | − | 0.300385i | 0.766188 | − | 0.642616i | \(-0.222151\pi\) |
−0.939616 | + | 0.342231i | \(0.888818\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −107.500 | + | 186.196i | −0.122299 | + | 0.211827i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 863.732i | 0.980400i | 0.871610 | + | 0.490200i | \(0.163076\pi\) | ||||
−0.871610 | + | 0.490200i | \(0.836924\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 567.456 | 0.642645 | 0.321323 | − | 0.946970i | \(-0.395873\pi\) | ||||
0.321323 | + | 0.946970i | \(0.395873\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 159.529 | + | 92.1039i | 0.180258 | + | 0.104072i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −770.555 | + | 444.880i | −0.868721 | + | 0.501556i | −0.866923 | − | 0.498442i | \(-0.833906\pi\) |
−0.00179783 | + | 0.999998i | \(0.500572\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1544.04 | + | 783.302i | −1.73683 | + | 0.881105i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −160.246 | − | 277.554i | −0.179849 | − | 0.311508i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −110.140 | + | 190.767i | −0.123337 | + | 0.213625i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 1227.96i | − | 1.37202i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −304.191 | −0.339120 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 148.742 | + | 85.8764i | 0.165453 | + | 0.0955243i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −182.316 | + | 105.260i | −0.202349 | + | 0.116826i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −52.5807 | − | 2.84864i | −0.0582289 | − | 0.00315464i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 514.191 | + | 890.605i | 0.568167 | + | 0.984094i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 186.989 | − | 323.874i | 0.206162 | − | 0.357083i | −0.744340 | − | 0.667800i | \(-0.767236\pi\) |
0.950502 | + | 0.310717i | \(0.100569\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 506.395i | − | 0.557091i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1133.75 | 1.24451 | 0.622256 | − | 0.782814i | \(-0.286216\pi\) | ||||
0.622256 | + | 0.782814i | \(0.286216\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −525.618 | − | 303.466i | −0.575704 | − | 0.332383i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −372.893 | + | 215.290i | −0.407533 | + | 0.235289i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 564.419 | − | 865.782i | 0.615506 | − | 0.944146i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −228.151 | − | 395.169i | −0.248260 | − | 0.429999i | 0.714783 | − | 0.699346i | \(-0.246525\pi\) |
−0.963043 | + | 0.269347i | \(0.913192\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 7.52900 | − | 13.0406i | 0.00817481 | − | 0.0141592i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | − | 557.007i | − | 0.603474i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −55.7948 | −0.0603187 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −883.124 | − | 509.872i | −0.952669 | − | 0.550024i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −824.058 | + | 475.770i | −0.887037 | + | 0.512131i | −0.872972 | − | 0.487770i | \(-0.837811\pi\) |
−0.0140650 | + | 0.999901i | \(0.504477\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −22.1360 | + | 203.696i | −0.0237766 | + | 0.218793i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −65.3011 | − | 113.105i | −0.0699904 | − | 0.121227i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 59.3269 | − | 102.757i | 0.0634513 | − | 0.109901i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 1295.71i | − | 1.38283i | −0.722460 | − | 0.691413i | \(-0.756989\pi\) | ||
0.722460 | − | 0.691413i | \(-0.243011\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 70.2578 | 0.0748219 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1175.10 | + | 678.446i | 1.24878 | + | 0.720984i | 0.970866 | − | 0.239622i | \(-0.0770234\pi\) |
0.277915 | + | 0.960606i | \(0.410357\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 671.382 | − | 387.622i | 0.711964 | − | 0.411052i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 487.786 | + | 317.997i | 0.516176 | + | 0.336504i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −354.731 | − | 614.412i | −0.374584 | − | 0.648799i | 0.615681 | − | 0.787996i | \(-0.288881\pi\) |
−0.990265 | + | 0.139197i | \(0.955548\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 402.213 | − | 696.654i | 0.423828 | − | 0.734092i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 345.784i | 0.363601i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 936.603 | 0.982794 | 0.491397 | − | 0.870936i | \(-0.336486\pi\) | ||||
0.491397 | + | 0.870936i | \(0.336486\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1424.72 | − | 822.564i | −1.49186 | − | 0.861324i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −10.3890 | + | 5.99807i | −0.0108558 | + | 0.00626757i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 12.3350 | − | 227.681i | 0.0128623 | − | 0.237415i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 713.477 | + | 1235.78i | 0.742432 | + | 1.28593i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −482.007 | + | 834.861i | −0.500527 | + | 0.866938i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1023.42i | 1.06054i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1374.37 | 1.42127 | 0.710635 | − | 0.703561i | \(-0.248408\pi\) | ||||
0.710635 | + | 0.703561i | \(0.248408\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.77208 | − | 5.64191i | −0.0100847 | − | 0.00582241i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 27.2466 | − | 15.7309i | 0.0280604 | − | 0.0162007i | −0.485904 | − | 0.874012i | \(-0.661510\pi\) |
0.513965 | + | 0.857811i | \(0.328176\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −217.206 | − | 428.156i | −0.223233 | − | 0.440037i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 104.059 | + | 180.235i | 0.106727 | + | 0.184857i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 270.949 | − | 469.297i | 0.277327 | − | 0.480345i | −0.693392 | − | 0.720560i | \(-0.743885\pi\) |
0.970720 | + | 0.240215i | \(0.0772181\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 239.445i | − | 0.244581i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1232.98 | 1.25687 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 19.4161 | + | 11.2099i | 0.0197519 | + | 0.0114038i | 0.509843 | − | 0.860267i | \(-0.329703\pi\) |
−0.490092 | + | 0.871671i | \(0.663037\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1040.01 | − | 600.448i | 1.05584 | − | 0.609592i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −235.934 | + | 119.691i | −0.239042 | + | 0.121267i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 145.368 | + | 251.784i | 0.146984 | + | 0.254584i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −339.017 | + | 587.195i | −0.342096 | + | 0.592528i | −0.984822 | − | 0.173568i | \(-0.944470\pi\) |
0.642726 | + | 0.766097i | \(0.277804\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 161.429i | − | 0.162567i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2312.28 | 2.32390 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −758.779 | − | 438.081i | −0.761062 | − | 0.439400i | 0.0686147 | − | 0.997643i | \(-0.478142\pi\) |
−0.829677 | + | 0.558244i | \(0.811475\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 31.9523 | − | 18.4477i | 0.0319843 | − | 0.0184661i |
(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 | 448.3.s.d.129.1 | 4 | ||
4.3 | odd | 2 | 448.3.s.c.129.2 | 4 | |||
7.5 | odd | 6 | inner | 448.3.s.d.257.1 | 4 | ||
8.3 | odd | 2 | 112.3.s.b.17.1 | 4 | |||
8.5 | even | 2 | 14.3.d.a.3.1 | ✓ | 4 | ||
24.5 | odd | 2 | 126.3.n.c.73.2 | 4 | |||
24.11 | even | 2 | 1008.3.cg.l.577.2 | 4 | |||
28.19 | even | 6 | 448.3.s.c.257.2 | 4 | |||
40.13 | odd | 4 | 350.3.i.a.199.2 | 8 | |||
40.29 | even | 2 | 350.3.k.a.101.2 | 4 | |||
40.37 | odd | 4 | 350.3.i.a.199.3 | 8 | |||
56.3 | even | 6 | 784.3.c.e.97.2 | 4 | |||
56.5 | odd | 6 | 14.3.d.a.5.1 | yes | 4 | ||
56.11 | odd | 6 | 784.3.c.e.97.3 | 4 | |||
56.13 | odd | 2 | 98.3.d.a.31.1 | 4 | |||
56.19 | even | 6 | 112.3.s.b.33.1 | 4 | |||
56.27 | even | 2 | 784.3.s.c.129.2 | 4 | |||
56.37 | even | 6 | 98.3.d.a.19.1 | 4 | |||
56.45 | odd | 6 | 98.3.b.b.97.4 | 4 | |||
56.51 | odd | 6 | 784.3.s.c.705.2 | 4 | |||
56.53 | even | 6 | 98.3.b.b.97.3 | 4 | |||
168.5 | even | 6 | 126.3.n.c.19.2 | 4 | |||
168.53 | odd | 6 | 882.3.c.f.685.2 | 4 | |||
168.101 | even | 6 | 882.3.c.f.685.1 | 4 | |||
168.125 | even | 2 | 882.3.n.b.325.2 | 4 | |||
168.131 | odd | 6 | 1008.3.cg.l.145.2 | 4 | |||
168.149 | odd | 6 | 882.3.n.b.19.2 | 4 | |||
280.117 | even | 12 | 350.3.i.a.299.2 | 8 | |||
280.173 | even | 12 | 350.3.i.a.299.3 | 8 | |||
280.229 | odd | 6 | 350.3.k.a.201.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.3.d.a.3.1 | ✓ | 4 | 8.5 | even | 2 | ||
14.3.d.a.5.1 | yes | 4 | 56.5 | odd | 6 | ||
98.3.b.b.97.3 | 4 | 56.53 | even | 6 | |||
98.3.b.b.97.4 | 4 | 56.45 | odd | 6 | |||
98.3.d.a.19.1 | 4 | 56.37 | even | 6 | |||
98.3.d.a.31.1 | 4 | 56.13 | odd | 2 | |||
112.3.s.b.17.1 | 4 | 8.3 | odd | 2 | |||
112.3.s.b.33.1 | 4 | 56.19 | even | 6 | |||
126.3.n.c.19.2 | 4 | 168.5 | even | 6 | |||
126.3.n.c.73.2 | 4 | 24.5 | odd | 2 | |||
350.3.i.a.199.2 | 8 | 40.13 | odd | 4 | |||
350.3.i.a.199.3 | 8 | 40.37 | odd | 4 | |||
350.3.i.a.299.2 | 8 | 280.117 | even | 12 | |||
350.3.i.a.299.3 | 8 | 280.173 | even | 12 | |||
350.3.k.a.101.2 | 4 | 40.29 | even | 2 | |||
350.3.k.a.201.2 | 4 | 280.229 | odd | 6 | |||
448.3.s.c.129.2 | 4 | 4.3 | odd | 2 | |||
448.3.s.c.257.2 | 4 | 28.19 | even | 6 | |||
448.3.s.d.129.1 | 4 | 1.1 | even | 1 | trivial | ||
448.3.s.d.257.1 | 4 | 7.5 | odd | 6 | inner | ||
784.3.c.e.97.2 | 4 | 56.3 | even | 6 | |||
784.3.c.e.97.3 | 4 | 56.11 | odd | 6 | |||
784.3.s.c.129.2 | 4 | 56.27 | even | 2 | |||
784.3.s.c.705.2 | 4 | 56.51 | odd | 6 | |||
882.3.c.f.685.1 | 4 | 168.101 | even | 6 | |||
882.3.c.f.685.2 | 4 | 168.53 | odd | 6 | |||
882.3.n.b.19.2 | 4 | 168.149 | odd | 6 | |||
882.3.n.b.325.2 | 4 | 168.125 | even | 2 | |||
1008.3.cg.l.145.2 | 4 | 168.131 | odd | 6 | |||
1008.3.cg.l.577.2 | 4 | 24.11 | even | 2 |