Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1148,2,Mod(57,1148)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1148, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1148.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1148 = 2^{2} \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1148.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.16682615204\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 12 x^{14} - 19 x^{13} + 49 x^{12} - 91 x^{11} + 269 x^{10} - 367 x^{9} + 1058 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 953.4 | ||
Root | \(0.842594 + 2.59324i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1148.953 |
Dual form | 1148.2.n.c.365.4 |
$q$-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 \(\left(\mathbb{Z}/1148\mathbb{Z}\right)^\times\).
\(n\) | \(493\) | \(575\) | \(785\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 | ||||||||
\(3\) | 2.72669 | 1.57426 | 0.787128 | − | 0.616790i | \(-0.211567\pi\) | ||||
0.787128 | + | 0.616790i | \(0.211567\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.323246 | − | 0.994850i | −0.144560 | − | 0.444910i | 0.852394 | − | 0.522900i | \(-0.175150\pi\) |
−0.996954 | + | 0.0779896i | \(0.975150\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.809017 | − | 0.587785i | 0.305780 | − | 0.222162i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.43484 | 1.47828 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.27722 | + | 3.93087i | −0.385095 | + | 1.18520i | 0.551316 | + | 0.834297i | \(0.314126\pi\) |
−0.936411 | + | 0.350905i | \(0.885874\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.98131 | + | 1.43950i | 0.549516 | + | 0.399246i | 0.827607 | − | 0.561308i | \(-0.189702\pi\) |
−0.278091 | + | 0.960555i | \(0.589702\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.881393 | − | 2.71265i | −0.227575 | − | 0.700403i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.62894 | − | 5.01335i | 0.395075 | − | 1.21592i | −0.533827 | − | 0.845593i | \(-0.679247\pi\) |
0.928903 | − | 0.370324i | \(-0.120753\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.543573 | − | 0.394929i | 0.124704 | − | 0.0906029i | −0.523685 | − | 0.851912i | \(-0.675443\pi\) |
0.648389 | + | 0.761309i | \(0.275443\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.20594 | − | 1.60271i | 0.481375 | − | 0.349740i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.08786 | + | 3.69655i | 1.06089 | + | 0.770783i | 0.974253 | − | 0.225457i | \(-0.0723874\pi\) |
0.0866389 | + | 0.996240i | \(0.472387\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.15985 | − | 2.29576i | 0.631969 | − | 0.459153i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.91236 | 0.752934 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.554766 | + | 1.70739i | 0.103017 | + | 0.317055i | 0.989260 | − | 0.146166i | \(-0.0466934\pi\) |
−0.886243 | + | 0.463221i | \(0.846693\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.299218 | + | 0.920897i | −0.0537411 | + | 0.165398i | −0.974325 | − | 0.225148i | \(-0.927714\pi\) |
0.920584 | + | 0.390546i | \(0.127714\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.48257 | + | 10.7183i | −0.606238 | + | 1.86581i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.846270 | − | 0.614851i | −0.143046 | − | 0.103929i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.475999 | − | 1.46498i | −0.0782538 | − | 0.240840i | 0.904275 | − | 0.426950i | \(-0.140412\pi\) |
−0.982529 | + | 0.186110i | \(0.940412\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.40241 | + | 3.92508i | 0.865078 | + | 0.628516i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.09655 | − | 5.60459i | 0.483599 | − | 0.875290i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.58860 | + | 1.15418i | 0.242259 | + | 0.176011i | 0.702289 | − | 0.711892i | \(-0.252161\pi\) |
−0.460030 | + | 0.887903i | \(0.652161\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.43355 | − | 4.41200i | −0.213700 | − | 0.657702i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.27123 | − | 5.28286i | −1.06062 | − | 0.770584i | −0.0864148 | − | 0.996259i | \(-0.527541\pi\) |
−0.974202 | + | 0.225676i | \(0.927541\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.44161 | − | 13.6699i | 0.621949 | − | 1.91416i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.322574 | + | 0.992781i | 0.0443090 | + | 0.136369i | 0.970764 | − | 0.240037i | \(-0.0771597\pi\) |
−0.926455 | + | 0.376406i | \(0.877160\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.32348 | 0.582978 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.48215 | − | 1.07685i | 0.196316 | − | 0.142632i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.41756 | − | 6.84226i | −1.22606 | − | 0.890786i | −0.229473 | − | 0.973315i | \(-0.573700\pi\) |
−0.996589 | + | 0.0825293i | \(0.973700\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.91258 | + | 5.74882i | −1.01310 | + | 0.736061i | −0.964857 | − | 0.262774i | \(-0.915363\pi\) |
−0.0482441 | + | 0.998836i | \(0.515363\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.58786 | − | 2.60673i | 0.452028 | − | 0.328417i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.791640 | − | 2.43642i | 0.0981908 | − | 0.302200i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.76822 | − | 8.51972i | −0.338192 | − | 1.04085i | −0.965128 | − | 0.261778i | \(-0.915691\pi\) |
0.626936 | − | 0.779071i | \(-0.284309\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 13.8730 | + | 10.0793i | 1.67011 | + | 1.21341i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.81811 | + | 11.7509i | −0.453126 | + | 1.39458i | 0.420194 | + | 0.907434i | \(0.361962\pi\) |
−0.873321 | + | 0.487145i | \(0.838038\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.0364 | 1.52579 | 0.762895 | − | 0.646522i | \(-0.223777\pi\) | ||||
0.762895 | + | 0.646522i | \(0.223777\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.61592 | − | 6.25983i | 0.994881 | − | 0.722823i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.27722 | + | 3.93087i | 0.145552 | + | 0.447964i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.61764 | 0.632034 | 0.316017 | − | 0.948754i | \(-0.397654\pi\) | ||||
0.316017 | + | 0.948754i | \(0.397654\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.63672 | −0.292969 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −15.9564 | −1.75145 | −0.875723 | − | 0.482814i | \(-0.839615\pi\) | ||||
−0.875723 | + | 0.482814i | \(0.839615\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.51408 | −0.598086 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.51268 | + | 4.65554i | 0.162176 | + | 0.499126i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.0547737 | + | 0.0397954i | −0.00580600 | + | 0.00421830i | −0.590684 | − | 0.806903i | \(-0.701142\pi\) |
0.584878 | + | 0.811121i | \(0.301142\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.44903 | 0.256728 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.815874 | + | 2.51100i | −0.0846022 | + | 0.260379i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.568603 | − | 0.413114i | −0.0583374 | − | 0.0423846i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.922681 | − | 2.83972i | −0.0936841 | − | 0.288330i | 0.893224 | − | 0.449611i | \(-0.148437\pi\) |
−0.986909 | + | 0.161281i | \(0.948437\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.66425 | + | 17.4328i | −0.569278 | + | 1.75206i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.40004 | + | 5.37645i | −0.736332 | + | 0.534976i | −0.891560 | − | 0.452902i | \(-0.850389\pi\) |
0.155228 | + | 0.987879i | \(0.450389\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.37902 | + | 3.90809i | −0.530011 | + | 0.385075i | −0.820362 | − | 0.571845i | \(-0.806228\pi\) |
0.290351 | + | 0.956920i | \(0.406228\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.30752 | − | 1.67651i | −0.225190 | − | 0.163610i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.210920 | + | 0.153243i | −0.0203905 | + | 0.0148145i | −0.597934 | − | 0.801545i | \(-0.704011\pi\) |
0.577543 | + | 0.816360i | \(0.304011\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.1828 | −1.07112 | −0.535561 | − | 0.844496i | \(-0.679900\pi\) | ||||
−0.535561 | + | 0.844496i | \(0.679900\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.29790 | − | 3.99453i | −0.123191 | − | 0.379144i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.93635 | + | 18.2702i | −0.558445 | + | 1.71872i | 0.128223 | + | 0.991745i | \(0.459073\pi\) |
−0.686668 | + | 0.726971i | \(0.740927\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.03288 | − | 6.25655i | 0.189567 | − | 0.583427i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.78678 | + | 6.38397i | 0.812338 | + | 0.590198i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.62894 | − | 5.01335i | −0.149324 | − | 0.459573i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.92126 | − | 3.57550i | −0.447387 | − | 0.325046i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.44332 | − | 15.2820i | 0.761309 | − | 1.37793i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.53670 | − | 5.47573i | −0.674103 | − | 0.489764i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.75184 | + | 11.5470i | 0.332922 | + | 1.02463i | 0.967736 | + | 0.251965i | \(0.0810767\pi\) |
−0.634814 | + | 0.772665i | \(0.718923\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.33161 | + | 3.14710i | 0.381377 | + | 0.277086i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.45567 | + | 10.6355i | −0.301924 | + | 0.929226i | 0.678884 | + | 0.734246i | \(0.262464\pi\) |
−0.980807 | + | 0.194980i | \(0.937536\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.207626 | − | 0.639008i | 0.0180035 | − | 0.0554090i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.26466 | − | 3.89221i | −0.108844 | − | 0.334988i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 20.6995 | 1.76847 | 0.884237 | − | 0.467038i | \(-0.154679\pi\) | ||||
0.884237 | + | 0.467038i | \(0.154679\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.66184 | + | 6.29319i | −0.734687 | + | 0.533782i | −0.891043 | − | 0.453919i | \(-0.850025\pi\) |
0.156355 | + | 0.987701i | \(0.450025\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −19.8264 | − | 14.4047i | −1.66968 | − | 1.21310i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −8.18906 | + | 5.94970i | −0.684803 | + | 0.497539i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.51928 | − | 1.10382i | 0.126169 | − | 0.0916671i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.842594 | − | 2.59324i | 0.0694959 | − | 0.213887i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.96755 | − | 12.2109i | −0.325034 | − | 1.00035i | −0.971425 | − | 0.237346i | \(-0.923723\pi\) |
0.646391 | − | 0.763006i | \(-0.276277\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.78585 | − | 2.02404i | −0.226709 | − | 0.164714i | 0.468632 | − | 0.883393i | \(-0.344747\pi\) |
−0.695342 | + | 0.718679i | \(0.744747\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.22407 | − | 22.2334i | 0.584032 | − | 1.79747i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.01288 | 0.0813561 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.68426 | − | 3.40331i | 0.373844 | − | 0.271614i | −0.384959 | − | 0.922934i | \(-0.625784\pi\) |
0.758803 | + | 0.651320i | \(0.225784\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.879559 | + | 2.70701i | 0.0697536 | + | 0.214680i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.28894 | 0.495638 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 19.6328 | 1.53776 | 0.768879 | − | 0.639395i | \(-0.220815\pi\) | ||||
0.768879 | + | 0.639395i | \(0.220815\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 11.7888 | 0.917756 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.44663 | −0.111944 | −0.0559719 | − | 0.998432i | \(-0.517826\pi\) | ||||
−0.0559719 | + | 0.998432i | \(0.517826\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.16382 | − | 6.65954i | −0.166447 | − | 0.512272i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.41066 | − | 1.75145i | 0.184348 | − | 0.133936i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.41833 | −0.183862 | −0.0919312 | − | 0.995765i | \(-0.529304\pi\) | ||||
−0.0919312 | + | 0.995765i | \(0.529304\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.20695 | − | 3.71462i | 0.0912371 | − | 0.280799i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −25.6788 | − | 18.6567i | −1.93013 | − | 1.40232i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.119055 | + | 0.366412i | 0.00889855 | + | 0.0273869i | 0.955407 | − | 0.295291i | \(-0.0954168\pi\) |
−0.946509 | + | 0.322678i | \(0.895417\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.66312 | + | 17.4293i | −0.420936 | + | 1.29551i | 0.485896 | + | 0.874016i | \(0.338493\pi\) |
−0.906832 | + | 0.421492i | \(0.861507\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −21.5751 | + | 15.6753i | −1.59488 | + | 1.15875i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.30357 | + | 0.947096i | −0.0958401 | + | 0.0696319i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 17.6263 | + | 12.8063i | 1.28896 | + | 0.936488i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.16517 | − | 2.29963i | 0.230232 | − | 0.167273i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.30277 | 0.383695 | 0.191848 | − | 0.981425i | \(-0.438552\pi\) | ||||
0.191848 | + | 0.981425i | \(0.438552\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.417895 | − | 1.28615i | −0.0300807 | − | 0.0925789i | 0.934889 | − | 0.354940i | \(-0.115499\pi\) |
−0.964970 | + | 0.262361i | \(0.915499\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.15856 | − | 6.64335i | 0.154577 | − | 0.475740i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.28015 | + | 7.01757i | −0.162454 | + | 0.499981i | −0.998840 | − | 0.0481598i | \(-0.984664\pi\) |
0.836386 | + | 0.548141i | \(0.184664\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.0438 | + | 8.75035i | 0.853764 | + | 0.620296i | 0.926181 | − | 0.377078i | \(-0.123071\pi\) |
−0.0724171 | + | 0.997374i | \(0.523071\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.54809 | − | 23.2306i | −0.532401 | − | 1.63856i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.45240 | + | 1.05523i | 0.101938 | + | 0.0740625i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.57667 | − | 1.26894i | −0.459335 | − | 0.0886264i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 22.5638 | + | 16.3936i | 1.56830 | + | 1.13943i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.858153 | + | 2.64112i | 0.0593597 | + | 0.182690i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.20084 | + | 0.872464i | 0.0826695 | + | 0.0600629i | 0.628352 | − | 0.777929i | \(-0.283730\pi\) |
−0.545683 | + | 0.837992i | \(0.683730\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.4108 | + | 32.0412i | −0.713337 | + | 2.19542i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.634730 | − | 1.95350i | 0.0432883 | − | 0.133228i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.299218 | + | 0.920897i | 0.0203122 | + | 0.0625146i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 35.5461 | 2.40198 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.4442 | − | 7.58813i | 0.702551 | − | 0.510433i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.13356 | − | 2.27666i | −0.209839 | − | 0.152457i | 0.477902 | − | 0.878413i | \(-0.341397\pi\) |
−0.687741 | + | 0.725956i | \(0.741397\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.0134 | − | 10.1813i | 0.934227 | − | 0.678756i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.33708 | − | 2.42453i | 0.221490 | − | 0.160922i | −0.471507 | − | 0.881862i | \(-0.656290\pi\) |
0.692997 | + | 0.720941i | \(0.256290\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.64782 | − | 11.2268i | 0.241055 | − | 0.741891i | −0.755205 | − | 0.655488i | \(-0.772463\pi\) |
0.996260 | − | 0.0864026i | \(-0.0275372\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.48257 | + | 10.7183i | 0.229137 | + | 0.705210i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.90518 | − | 2.11073i | −0.190324 | − | 0.138279i | 0.488543 | − | 0.872540i | \(-0.337529\pi\) |
−0.678867 | + | 0.734261i | \(0.737529\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.90525 | + | 8.94144i | −0.189518 | + | 0.583275i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 15.3176 | 0.994983 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.9319 | + | 12.3018i | −1.09524 | + | 0.795736i | −0.980276 | − | 0.197634i | \(-0.936674\pi\) |
−0.114961 | + | 0.993370i | \(0.536674\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.18744 | − | 15.9653i | −0.334153 | − | 1.02842i | −0.967138 | − | 0.254252i | \(-0.918171\pi\) |
0.632985 | − | 0.774164i | \(-0.281829\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −18.9266 | −1.21414 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.04605 | −0.0668295 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.64549 | 0.104700 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −43.5082 | −2.75722 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.04040 | − | 3.20201i | −0.0656693 | − | 0.202109i | 0.912838 | − | 0.408322i | \(-0.133886\pi\) |
−0.978507 | + | 0.206213i | \(0.933886\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −21.0289 | + | 15.2784i | −1.32208 | + | 0.960546i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −15.0352 | −0.941540 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.64443 | − | 8.13872i | 0.164955 | − | 0.507679i | −0.834078 | − | 0.551647i | \(-0.814000\pi\) |
0.999033 | + | 0.0439672i | \(0.0139997\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.24618 | − | 0.905405i | −0.0774340 | − | 0.0562591i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.46030 | + | 7.57202i | 0.152289 | + | 0.468696i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.0925396 | − | 0.284808i | 0.00570624 | − | 0.0175620i | −0.948163 | − | 0.317785i | \(-0.897061\pi\) |
0.953869 | + | 0.300223i | \(0.0970610\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.883397 | − | 0.641826i | 0.0542667 | − | 0.0394270i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.149351 | + | 0.108510i | −0.00914012 | + | 0.00664069i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −23.4802 | − | 17.0594i | −1.43161 | − | 1.04013i | −0.989714 | − | 0.143062i | \(-0.954305\pi\) |
−0.441899 | − | 0.897065i | \(-0.645695\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.72631 | − | 1.25424i | 0.104866 | − | 0.0761897i | −0.534116 | − | 0.845411i | \(-0.679356\pi\) |
0.638983 | + | 0.769221i | \(0.279356\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.67774 | 0.404156 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.98853 | + | 15.3531i | 0.300820 | + | 0.925828i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.36577 | − | 28.8249i | 0.562735 | − | 1.73192i | −0.111854 | − | 0.993725i | \(-0.535679\pi\) |
0.674588 | − | 0.738194i | \(-0.264321\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.32698 | + | 4.08403i | −0.0794443 | + | 0.244505i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.4906 | − | 13.4342i | −1.10306 | − | 0.801417i | −0.121499 | − | 0.992592i | \(-0.538770\pi\) |
−0.981556 | + | 0.191175i | \(0.938770\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.81755 | − | 17.9046i | −0.345817 | − | 1.06432i | −0.961145 | − | 0.276044i | \(-0.910976\pi\) |
0.615328 | − | 0.788271i | \(-0.289024\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.55040 | − | 1.12643i | −0.0918380 | − | 0.0667242i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.789135 | − | 6.35431i | −0.0465812 | − | 0.375083i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.72699 | − | 6.34053i | −0.513352 | − | 0.372972i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.51587 | − | 7.74304i | −0.147483 | − | 0.453905i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.77976 | + | 1.29307i | 0.103975 | + | 0.0755419i | 0.638558 | − | 0.769574i | \(-0.279531\pi\) |
−0.534583 | + | 0.845116i | \(0.679531\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.76283 | + | 11.5808i | −0.219080 | + | 0.674260i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.99693 | + | 15.3790i | −0.289951 | + | 0.892379i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.75942 | + | 14.6480i | 0.275244 | + | 0.847115i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.96361 | 0.113181 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −20.1776 | + | 14.6599i | −1.15917 | + | 0.842189i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.27693 | + | 6.01354i | 0.473935 | + | 0.344334i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.50582 | − | 1.82059i | 0.143015 | − | 0.103906i | −0.513977 | − | 0.857804i | \(-0.671828\pi\) |
0.656992 | + | 0.753897i | \(0.271828\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.6669 | + | 10.6561i | −0.834372 | + | 0.606207i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.74512 | + | 23.8370i | −0.439186 | + | 1.35167i | 0.449550 | + | 0.893255i | \(0.351584\pi\) |
−0.888736 | + | 0.458420i | \(0.848416\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.18696 | − | 15.9638i | −0.293184 | − | 0.902328i | −0.983825 | − | 0.179131i | \(-0.942672\pi\) |
0.690641 | − | 0.723198i | \(-0.257328\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.75307 | − | 2.72677i | −0.211462 | − | 0.153636i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.16318 | − | 3.57989i | 0.0653306 | − | 0.201067i | −0.913063 | − | 0.407819i | \(-0.866289\pi\) |
0.978393 | + | 0.206752i | \(0.0662894\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.42010 | −0.415446 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.575115 | + | 0.417845i | −0.0320998 | + | 0.0233219i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.09447 | − | 3.36844i | −0.0608980 | − | 0.187425i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.56538 | 0.530592 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −30.4922 | −1.68622 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.98773 | −0.495510 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.8159 | 1.52890 | 0.764450 | − | 0.644683i | \(-0.223011\pi\) | ||||
0.764450 | + | 0.644683i | \(0.223011\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.11098 | − | 6.49693i | −0.115681 | − | 0.356030i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −7.58102 | + | 5.50793i | −0.414195 | + | 0.300931i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.1351 | −0.715513 | −0.357756 | − | 0.933815i | \(-0.616458\pi\) | ||||
−0.357756 | + | 0.933815i | \(0.616458\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −16.1866 | + | 49.8172i | −0.879135 | + | 2.70570i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.23776 | − | 2.35237i | −0.175335 | − | 0.127388i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.309017 | − | 0.951057i | −0.0166853 | − | 0.0513522i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.54303 | − | 17.0597i | 0.298426 | − | 0.918462i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −25.8175 | + | 18.7575i | −1.38596 | + | 1.00696i | −0.389660 | + | 0.920959i | \(0.627408\pi\) |
−0.996295 | + | 0.0859972i | \(0.972592\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.54256 | + | 4.75345i | −0.350215 | + | 0.254446i | −0.748959 | − | 0.662616i | \(-0.769446\pi\) |
0.398744 | + | 0.917062i | \(0.369446\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.75159 | + | 5.63186i | 0.413749 | + | 0.300606i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.30445 | − | 6.03354i | 0.442001 | − | 0.321133i | −0.344428 | − | 0.938813i | \(-0.611927\pi\) |
0.786430 | + | 0.617680i | \(0.211927\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.9246 | 0.685967 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.44161 | − | 13.6699i | −0.235075 | − | 0.723486i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0.209175 | − | 0.643775i | 0.0110399 | − | 0.0339772i | −0.945385 | − | 0.325956i | \(-0.894314\pi\) |
0.956425 | + | 0.291979i | \(0.0943138\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.73182 | + | 17.6407i | −0.301675 | + | 0.928459i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −13.4187 | − | 9.74929i | −0.704301 | − | 0.511705i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.21395 | − | 12.9692i | −0.220568 | − | 0.678840i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.7959 | − | 10.0233i | −0.720139 | − | 0.523211i | 0.166290 | − | 0.986077i | \(-0.446821\pi\) |
−0.886429 | + | 0.462865i | \(0.846821\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 13.7327 | − | 24.8554i | 0.714895 | − | 1.29392i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.844510 | + | 0.613572i | 0.0438448 | + | 0.0318551i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.01880 | + | 6.21322i | 0.104529 | + | 0.321708i | 0.989620 | − | 0.143711i | \(-0.0459035\pi\) |
−0.885090 | + | 0.465419i | \(0.845904\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −20.5502 | − | 14.9306i | −1.06121 | − | 0.771014i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.35864 | + | 4.18146i | −0.0699735 | + | 0.215356i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.77246 | − | 14.6881i | 0.245145 | − | 0.754478i | −0.750468 | − | 0.660907i | \(-0.770172\pi\) |
0.995613 | − | 0.0935709i | \(-0.0298282\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.2301 | + | 31.4851i | 0.524105 | + | 1.61303i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 27.8670 | 1.42394 | 0.711968 | − | 0.702212i | \(-0.247804\pi\) | ||||
0.711968 | + | 0.702212i | \(0.247804\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.49777 | − | 2.54128i | 0.178263 | − | 0.129516i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.04516 | + | 5.11861i | 0.358126 | + | 0.260194i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −26.9330 | + | 19.5680i | −1.36556 | + | 0.992135i | −0.367487 | + | 0.930029i | \(0.619782\pi\) |
−0.998070 | + | 0.0621067i | \(0.980218\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.8199 | − | 19.4858i | 1.35634 | − | 0.985439i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −9.42255 | + | 28.9996i | −0.475305 | + | 1.46284i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.81588 | − | 5.58871i | −0.0913669 | − | 0.281198i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.16779 | − | 0.848448i | −0.0586096 | − | 0.0425824i | 0.558095 | − | 0.829777i | \(-0.311533\pi\) |
−0.616704 | + | 0.787195i | \(0.711533\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.566133 | − | 1.74238i | 0.0283421 | − | 0.0872280i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.481725 | −0.0240562 | −0.0120281 | − | 0.999928i | \(-0.503829\pi\) | ||||
−0.0120281 | + | 0.999928i | \(0.503829\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.91848 | + | 1.39385i | −0.0955661 | + | 0.0694329i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.852311 | + | 2.62314i | 0.0423517 | + | 0.130345i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.36658 | 0.315580 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 23.1708 | 1.14572 | 0.572862 | − | 0.819652i | \(-0.305833\pi\) | ||||
0.572862 | + | 0.819652i | \(0.305833\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 56.4410 | 2.78403 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −11.6407 | −0.572803 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.15786 | + | 15.8743i | 0.253189 | + | 0.779236i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −23.6181 | + | 17.1596i | −1.15659 | + | 0.840309i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 16.0917 | 0.786130 | 0.393065 | − | 0.919511i | \(-0.371415\pi\) | ||||
0.393065 | + | 0.919511i | \(0.371415\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.80558 | − | 20.9454i | 0.331683 | − | 1.02082i | −0.636649 | − | 0.771153i | \(-0.719680\pi\) |
0.968333 | − | 0.249663i | \(-0.0803199\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −32.2467 | − | 23.4286i | −1.56789 | − | 1.13914i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.36228 | − | 19.5811i | −0.308616 | − | 0.949822i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.02233 | + | 9.30179i | −0.146261 | + | 0.450145i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −22.3290 | + | 16.2230i | −1.07806 | + | 0.783253i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.1887 | + | 14.6680i | −0.972456 | + | 0.706531i | −0.956010 | − | 0.293334i | \(-0.905235\pi\) |
−0.0164463 | + | 0.999865i | \(0.505235\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.3105 | + | 20.5688i | 1.36052 | + | 0.988474i | 0.998412 | + | 0.0563370i | \(0.0179421\pi\) |
0.362106 | + | 0.932137i | \(0.382058\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.14259 | − | 3.00977i | 0.198622 | − | 0.144307i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.22550 | 0.202133 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.835814 | + | 2.57237i | 0.0398912 | + | 0.122773i | 0.969019 | − | 0.246986i | \(-0.0794403\pi\) |
−0.929128 | + | 0.369759i | \(0.879440\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.37044 | − | 4.21778i | 0.0652591 | − | 0.200847i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.35901 | − | 4.18259i | 0.0645684 | − | 0.198721i | −0.913568 | − | 0.406686i | \(-0.866684\pi\) |
0.978136 | + | 0.207965i | \(0.0666842\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.0572958 | + | 0.0416279i | 0.00271608 | + | 0.00197335i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.8183 | − | 33.2952i | −0.511687 | − | 1.57481i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.36392 | − | 0.990944i | −0.0643672 | − | 0.0467655i | 0.555136 | − | 0.831759i | \(-0.312666\pi\) |
−0.619504 | + | 0.784994i | \(0.712666\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.0759 | + | 19.3304i | 0.851163 | + | 0.910232i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −7.59616 | − | 5.51893i | −0.356899 | − | 0.259302i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.791640 | − | 2.43642i | −0.0371127 | − | 0.114221i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.2942 | − | 12.5649i | −0.808987 | − | 0.587764i | 0.104550 | − | 0.994520i | \(-0.466660\pi\) |
−0.913537 | + | 0.406756i | \(0.866660\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 6.37299 | − | 19.6140i | 0.297466 | − | 0.915505i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.11623 | − | 21.9015i | 0.331436 | − | 1.02005i | −0.637015 | − | 0.770851i | \(-0.719831\pi\) |
0.968451 | − | 0.249204i | \(-0.0801688\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.59811 | + | 23.3846i | 0.353114 | + | 1.08677i | 0.957095 | + | 0.289775i | \(0.0935803\pi\) |
−0.603981 | + | 0.796999i | \(0.706420\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.76180 | 0.128075 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.70544 | − | 7.05142i | 0.449114 | − | 0.326301i | −0.340132 | − | 0.940378i | \(-0.610472\pi\) |
0.789246 | + | 0.614077i | \(0.210472\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.24730 | − | 5.26547i | −0.334649 | − | 0.243137i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 12.7725 | − | 9.27978i | 0.588527 | − | 0.427590i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.56592 | + | 4.77042i | −0.301901 | + | 0.219344i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.810944 | − | 2.49583i | 0.0372087 | − | 0.114516i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.43056 | + | 4.40282i | 0.0655010 | + | 0.201591i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −15.7987 | − | 11.4784i | −0.721859 | − | 0.524461i | 0.165118 | − | 0.986274i | \(-0.447199\pi\) |
−0.886978 | + | 0.461812i | \(0.847199\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.16574 | − | 3.58777i | 0.0531530 | − | 0.163588i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17.1480 | 0.780261 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.52684 | + | 1.83586i | −0.114738 | + | 0.0833620i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.12166 | + | 24.9959i | 0.368028 | + | 1.13267i | 0.948063 | + | 0.318082i | \(0.103039\pi\) |
−0.580036 | + | 0.814591i | \(0.696961\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 53.5325 | 2.42082 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.81236 | 0.442825 | 0.221413 | − | 0.975180i | \(-0.428933\pi\) | ||||
0.221413 | + | 0.975180i | \(0.428933\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.46345 | 0.426212 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 19.1739 | 0.861804 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.81811 | + | 11.7509i | 0.171266 | + | 0.527102i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −32.4937 | + | 23.6081i | −1.45462 | + | 1.05684i | −0.469895 | + | 0.882723i | \(0.655708\pi\) |
−0.984724 | + | 0.174120i | \(0.944292\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.94452 | −0.176228 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.94743 | − | 21.3820i | 0.309770 | − | 0.953376i | −0.668083 | − | 0.744086i | \(-0.732885\pi\) |
0.977854 | − | 0.209289i | \(-0.0671150\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.74079 | + | 5.62402i | 0.344461 | + | 0.250265i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.90005 | − | 18.1585i | −0.262031 | − | 0.806447i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.924888 | − | 2.84651i | 0.0409949 | − | 0.126169i | −0.928464 | − | 0.371421i | \(-0.878871\pi\) |
0.969459 | + | 0.245252i | \(0.0788706\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.5466 | − | 7.66258i | 0.466556 | − | 0.338972i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.12665 | − | 1.54510i | 0.0938940 | − | 0.0682180i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.62671 | + | 4.08804i | 0.247942 | + | 0.180141i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 30.0531 | − | 21.8349i | 1.32174 | − | 0.960297i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.59404 | −0.289446 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.03650 | − | 18.5784i | −0.264464 | − | 0.813935i | −0.991816 | − | 0.127672i | \(-0.959250\pi\) |
0.727353 | − | 0.686264i | \(-0.240750\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.44378 | − | 16.7542i | 0.238040 | − | 0.732611i | −0.758664 | − | 0.651482i | \(-0.774147\pi\) |
0.996704 | − | 0.0811289i | \(-0.0258526\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.29099 | − | 10.1286i | 0.143631 | − | 0.442049i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.12938 | + | 3.00017i | 0.179878 | + | 0.130689i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.11447 | + | 15.7407i | 0.222368 | + | 0.684379i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −41.7653 | − | 30.3443i | −1.81246 | − | 1.31683i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 14.2030 | − | 6.64692i | 0.615202 | − | 0.287910i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.220633 | + | 0.160299i | 0.00953879 | + | 0.00693033i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.324625 | + | 0.999093i | 0.0140086 | + | 0.0431140i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.34380 | + | 2.42941i | 0.144028 | + | 0.104642i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.1583 | − | 37.4193i | 0.522725 | − | 1.60878i | −0.246047 | − | 0.969258i | \(-0.579132\pi\) |
0.768772 | − | 0.639523i | \(-0.220868\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −15.4416 | + | 47.5242i | −0.662661 | + | 2.03946i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.61482 | + | 11.1253i | 0.154842 | + | 0.476554i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.9602 | 0.639653 | 0.319827 | − | 0.947476i | \(-0.396375\pi\) | ||||
0.319827 | + | 0.947476i | \(0.396375\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −35.0910 | + | 25.4951i | −1.49765 | + | 1.08810i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.975855 | + | 0.709000i | 0.0415728 | + | 0.0302044i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.54477 | − | 3.30197i | 0.193263 | − | 0.140414i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.55442 | + | 2.58244i | −0.150877 | + | 0.109618i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.97547 | + | 6.07987i | −0.0837033 | + | 0.257612i | −0.984145 | − | 0.177364i | \(-0.943243\pi\) |
0.900442 | + | 0.434976i | \(0.143243\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.48605 | + | 4.57358i | 0.0628530 | + | 0.193442i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 48.0615 | + | 34.9187i | 2.02916 | + | 1.47427i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.0780 | − | 31.0168i | 0.424736 | − | 1.30720i | −0.478511 | − | 0.878082i | \(-0.658823\pi\) |
0.903247 | − | 0.429121i | \(-0.141177\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.0950 | 0.845404 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.13315 | + | 1.54983i | −0.0895840 | + | 0.0650866i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.63331 | + | 5.02681i | 0.0684719 | + | 0.210735i | 0.979438 | − | 0.201747i | \(-0.0646619\pi\) |
−0.910966 | + | 0.412482i | \(0.864662\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.1348 | 1.17740 | 0.588702 | − | 0.808350i | \(-0.299639\pi\) | ||||
0.588702 | + | 0.808350i | \(0.299639\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.4590 | 0.604034 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 24.5633 | 1.02436 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 37.1294 | 1.54572 | 0.772858 | − | 0.634579i | \(-0.218827\pi\) | ||||
0.772858 | + | 0.634579i | \(0.218827\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.13947 | − | 3.50693i | −0.0473547 | − | 0.145743i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.9090 | + | 9.37895i | −0.535556 | + | 0.389105i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.31449 | −0.178688 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.51080 | − | 10.8051i | 0.145154 | − | 0.446737i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.56260 | − | 4.04146i | −0.229593 | − | 0.166809i | 0.467041 | − | 0.884236i | \(-0.345320\pi\) |
−0.696634 | + | 0.717426i | \(0.745320\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.201042 | + | 0.618744i | 0.00828380 | + | 0.0254949i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.21725 | + | 19.1347i | −0.255744 | + | 0.787098i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 26.9911 | − | 19.6101i | 1.10839 | − | 0.805292i | 0.125980 | − | 0.992033i | \(-0.459792\pi\) |
0.982409 | + | 0.186740i | \(0.0597923\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.46099 | + | 3.24110i | −0.182883 | + | 0.132872i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 32.8398 | + | 23.8595i | 1.34404 | + | 0.976504i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 19.0133 | − | 13.8140i | 0.776864 | − | 0.564424i | −0.127172 | − | 0.991881i | \(-0.540590\pi\) |
0.904036 | + | 0.427456i | \(0.140590\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.84784 | 0.360911 | 0.180455 | − | 0.983583i | \(-0.442243\pi\) | ||||
0.180455 | + | 0.983583i | \(0.442243\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −12.2766 | − | 37.7836i | −0.499943 | − | 1.53867i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.96631 | + | 6.05168i | −0.0799419 | + | 0.246036i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.4566 | − | 32.1820i | 0.424419 | − | 1.30623i | −0.479130 | − | 0.877744i | \(-0.659048\pi\) |
0.903549 | − | 0.428484i | \(-0.140952\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.96024 | + | 2.87728i | 0.160477 | + | 0.116593i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.80184 | − | 20.9339i | −0.275173 | − | 0.846895i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.3302 | + | 14.0442i | 0.780740 | + | 0.567241i | 0.905201 | − | 0.424984i | \(-0.139720\pi\) |
−0.124461 | + | 0.992225i | \(0.539720\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −17.9325 | − | 3.46000i | −0.723110 | − | 0.139521i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.3031 | − | 16.2041i | −0.897888 | − | 0.652354i | 0.0400348 | − | 0.999198i | \(-0.487253\pi\) |
−0.937923 | + | 0.346845i | \(0.887253\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.85263 | + | 24.1679i | 0.315624 | + | 0.971390i | 0.975497 | + | 0.220013i | \(0.0706100\pi\) |
−0.659873 | + | 0.751377i | \(0.729390\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 19.9055 | + | 14.4622i | 0.798782 | + | 0.580349i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.0209217 | + | 0.0643903i | −0.000838209 | + | 0.00257974i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.02345 | − | 9.30522i | 0.120938 | − | 0.372209i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.33992 | + | 7.20152i | 0.0934473 | + | 0.287601i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.11981 | −0.323758 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.79338 | + | 5.66222i | −0.310250 | + | 0.225410i | −0.732004 | − | 0.681301i | \(-0.761415\pi\) |
0.421754 | + | 0.906710i | \(0.361415\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.27433 | + | 2.37894i | 0.130143 | + | 0.0945544i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 10.2748 | − | 7.46504i | 0.407741 | − | 0.296241i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.98131 | − | 1.43950i | 0.0785022 | − | 0.0570352i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −16.9327 | + | 52.1135i | −0.669847 | + | 2.06158i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.498643 | − | 1.53467i | −0.0196952 | − | 0.0606156i | 0.940726 | − | 0.339168i | \(-0.110145\pi\) |
−0.960421 | + | 0.278552i | \(0.910145\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.5733 | + | 11.3147i | 0.614153 | + | 0.446208i | 0.850874 | − | 0.525369i | \(-0.176073\pi\) |
−0.236721 | + | 0.971578i | \(0.576073\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.73071 | − | 5.32659i | 0.0681468 | − | 0.209734i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 46.2762 | 1.81931 | 0.909653 | − | 0.415368i | \(-0.136347\pi\) | ||||
0.909653 | + | 0.415368i | \(0.136347\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 38.9243 | − | 28.2801i | 1.52791 | − | 1.11009i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.815874 | + | 2.51100i | 0.0319766 | + | 0.0984139i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −10.5586 | −0.413192 | −0.206596 | − | 0.978426i | \(-0.566239\pi\) | ||||
−0.206596 | + | 0.978426i | \(0.566239\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.6977 | 0.457068 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 57.8141 | 2.25554 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −36.3337 | −1.41536 | −0.707679 | − | 0.706534i | \(-0.750258\pi\) | ||||
−0.707679 | + | 0.706534i | \(0.750258\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.831646 | + | 2.55954i | 0.0323473 | + | 0.0995547i | 0.965927 | − | 0.258816i | \(-0.0833324\pi\) |
−0.933579 | + | 0.358371i | \(0.883332\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 28.4780 | − | 20.6905i | 1.10599 | − | 0.803552i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.702832 | −0.0272546 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.48889 | + | 10.7377i | −0.135090 | + | 0.415766i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.54425 | − | 6.20776i | −0.330340 | − | 0.240006i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.4918 | − | 38.4458i | −0.482240 | − | 1.48418i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.6336 | + | 35.8044i | −0.448441 | + | 1.38016i | 0.430225 | + | 0.902722i | \(0.358434\pi\) |
−0.878666 | + | 0.477438i | \(0.841566\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 12.3625 | − | 8.98185i | 0.475831 | − | 0.345712i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.0690 | + | 10.9483i | −0.579150 | + | 0.420777i | −0.838417 | − | 0.545029i | \(-0.816519\pi\) |
0.259268 | + | 0.965805i | \(0.416519\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.41561 | − | 1.75504i | −0.0927026 | − | 0.0673524i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.09917 | − | 6.61094i | 0.348681 | − | 0.253332i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.7145 | −0.486505 | −0.243253 | − | 0.969963i | \(-0.578214\pi\) | ||||
−0.243253 | + | 0.969963i | \(0.578214\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.69103 | − | 20.5929i | −0.255651 | − | 0.786813i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.94649 | − | 30.6121i | 0.379482 | − | 1.16793i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.789993 | + | 2.43135i | −0.0300964 | + | 0.0926270i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 28.6945 | + | 20.8477i | 1.09159 | + | 0.793086i | 0.979667 | − | 0.200631i | \(-0.0642994\pi\) |
0.111922 | + | 0.993717i | \(0.464299\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.66425 | + | 17.4328i | 0.215167 | + | 0.662216i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 9.06069 | + | 6.58298i | 0.343692 | + | 0.249707i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.0537 | − | 24.6536i | −0.873221 | − | 0.933822i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.92152 | − | 5.75532i | −0.299619 | − | 0.217686i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.37975 | + | 13.4795i | 0.165421 | + | 0.509113i | 0.999067 | − | 0.0431859i | \(-0.0137508\pi\) |
−0.833646 | + | 0.552299i | \(0.813751\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.837301 | − | 0.608335i | −0.0315794 | − | 0.0229438i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.92172 | + | 24.3805i | −0.298349 | + | 0.918224i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.82656 | + | 8.69927i | −0.106304 | + | 0.327170i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.3451 | + | 41.0721i | 0.501187 | + | 1.54249i | 0.807088 | + | 0.590431i | \(0.201042\pi\) |
−0.305901 | + | 0.952063i | \(0.598958\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 24.9133 | 0.934323 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4.92652 | + | 3.57932i | −0.184499 | + | 0.134047i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.56614 | + | 6.22366i | 0.320355 | + | 0.232752i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −46.1682 | + | 33.5431i | −1.72418 | + | 1.25269i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 11.3202 | − | 8.22459i | 0.422172 | − | 0.306726i | −0.356339 | − | 0.934357i | \(-0.615975\pi\) |
0.778511 | + | 0.627631i | \(0.215975\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.05460 | + | 6.32342i | −0.0765174 | + | 0.235496i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −14.1446 | − | 43.5325i | −0.526042 | − | 1.61899i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.67275 | + | 4.12149i | 0.210681 | + | 0.153068i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.05217 | + | 24.7820i | −0.298638 | + | 0.919114i | 0.683337 | + | 0.730103i | \(0.260528\pi\) |
−0.981975 | + | 0.189011i | \(0.939472\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.6968 | −1.61840 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.37405 | − | 6.08410i | 0.309725 | − | 0.225029i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.5338 | − | 50.8858i | −0.610690 | − | 1.87951i | −0.451525 | − | 0.892258i | \(-0.649120\pi\) |
−0.159165 | − | 0.987252i | \(-0.550880\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.85225 | −0.105207 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 37.0255 | 1.36385 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.4930 | 0.422776 | 0.211388 | − | 0.977402i | \(-0.432202\pi\) | ||||
0.211388 | + | 0.977402i | \(0.432202\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.48673 | 0.164824 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.58756 | − | 4.88601i | −0.0582420 | − | 0.179250i | 0.917703 | − | 0.397267i | \(-0.130041\pi\) |
−0.975945 | + | 0.218017i | \(0.930041\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.8655 | + | 7.89423i | −0.398080 | + | 0.289222i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −70.7642 | −2.58913 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.0805645 | + | 0.247952i | −0.00294376 | + | 0.00905997i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.07929 | − | 2.23724i | −0.112365 | − | 0.0816379i | 0.530184 | − | 0.847883i | \(-0.322123\pi\) |
−0.642549 | + | 0.766245i | \(0.722123\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.83684 | − | 8.73089i | −0.103380 | − | 0.318171i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.11310 | + | 3.42577i | −0.0405099 | + | 0.124677i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.7824 | − | 15.0993i | 0.755350 | − | 0.548794i | −0.142131 | − | 0.989848i | \(-0.545395\pi\) |
0.897481 | + | 0.441054i | \(0.145395\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −57.3394 | + | 41.6595i | −2.08129 | + | 1.51214i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.07780 | − | 2.23615i | −0.111570 | − | 0.0810605i | 0.530601 | − | 0.847622i | \(-0.321966\pi\) |
−0.642171 | + | 0.766561i | \(0.721966\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.04712 | + | 6.57311i | −0.327528 | + | 0.237963i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −24.4541 | −0.884139 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −8.80962 | − | 27.1132i | −0.318097 | − | 0.979001i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.01067 | + | 27.7320i | −0.324933 | + | 1.00004i | 0.646538 | + | 0.762882i | \(0.276216\pi\) |
−0.971471 | + | 0.237159i | \(0.923784\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.21054 | − | 22.1918i | 0.259681 | − | 0.799217i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 42.4091 | + | 30.8120i | 1.52535 | + | 1.10823i | 0.958755 | + | 0.284232i | \(0.0917388\pi\) |
0.566593 | + | 0.823998i | \(0.308261\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.16868 | + | 3.59683i | 0.0419802 | + | 0.129202i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.39795 | − | 2.46876i | −0.121901 | − | 0.0885662i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.530215 | − | 4.26942i | −0.0189969 | − | 0.152968i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −41.3148 | − | 30.0170i | −1.47836 | − | 1.07409i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.17045 | + | 6.67994i | 0.0775654 | + | 0.238722i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.89995 | − | 3.56002i | −0.174887 | − | 0.127063i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.1905 | − | 34.4409i | 0.398899 | − | 1.22768i | −0.526984 | − | 0.849875i | \(-0.676677\pi\) |
0.925883 | − | 0.377810i | \(-0.123323\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.252327 | − | 0.776582i | 0.00898307 | − | 0.0276471i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.93635 | + | 18.2702i | 0.211072 | + | 0.649614i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23.9527 | −0.850585 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.40875 | − | 1.75006i | 0.0854296 | − | 0.0620682i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 11.8315 | + | 8.59612i | 0.419095 | + | 0.304490i | 0.777274 | − | 0.629163i | \(-0.216602\pi\) |
−0.358179 | + | 0.933653i | \(0.616602\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −38.3292 | + | 27.8478i | −1.35599 | + | 0.985184i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.242912 | + | 0.176486i | −0.00858289 | + | 0.00623583i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −16.6502 | + | 51.2442i | −0.587574 | + | 1.80837i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.03288 | − | 6.25655i | −0.0716495 | − | 0.220515i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −64.0232 | − | 46.5156i | −2.25372 | − | 1.63743i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −14.1415 | + | 43.5230i | −0.497188 | + | 1.53019i | 0.316332 | + | 0.948649i | \(0.397549\pi\) |
−0.813520 | + | 0.581538i | \(0.802451\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.4679 | −1.14010 | −0.570051 | − | 0.821609i | \(-0.693077\pi\) | ||||
−0.570051 | + | 0.821609i | \(0.693077\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4.70712 | − | 3.41993i | 0.165086 | − | 0.119942i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −6.34622 | − | 19.5317i | −0.222298 | − | 0.684164i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.31934 | 0.0461578 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 10.8611 | 0.379516 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.6063 | 0.370164 | 0.185082 | − | 0.982723i | \(-0.440745\pi\) | ||||
0.185082 | + | 0.982723i | \(0.440745\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 44.5004 | 1.55119 | 0.775594 | − | 0.631232i | \(-0.217451\pi\) | ||||
0.775594 | + | 0.631232i | \(0.217451\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.6022 | + | 41.8632i | 0.473567 | + | 1.45749i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −14.7264 | + | 10.6994i | −0.512087 | + | 0.372053i | −0.813615 | − | 0.581404i | \(-0.802503\pi\) |
0.301528 | + | 0.953457i | \(0.402503\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.2541 | −0.738186 | −0.369093 | − | 0.929392i | \(-0.620332\pi\) | ||||
−0.369093 | + | 0.929392i | \(0.620332\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 25.5376 | − | 78.5965i | 0.885888 | − | 2.72648i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −4.26461 | − | 3.09842i | −0.147760 | − | 0.107354i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.467619 | + | 1.43918i | 0.0161826 | + | 0.0498050i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.17065 | + | 3.60288i | −0.0404635 | + | 0.124534i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −45.0278 | + | 32.7146i | −1.55453 | + | 1.12943i | −0.614212 | + | 0.789141i | \(0.710526\pi\) |
−0.940320 | + | 0.340292i | \(0.889474\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.8541 | − | 15.1514i | 0.719106 | − | 0.522461i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −50.4181 | − | 36.6309i | −1.73649 | − | 1.26163i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.92580 | + | 4.30534i | −0.203854 | + | 0.148108i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.08301 | −0.209015 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −15.8626 | − | 48.8202i | −0.544405 | − | 1.67550i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 2.99353 | − | 9.21314i | 0.102617 | − | 0.315822i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.1542 | + | 34.3291i | −0.381912 | + | 1.17540i | 0.556783 | + | 0.830658i | \(0.312035\pi\) |
−0.938696 | + | 0.344747i | \(0.887965\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.52166 | − | 1.83209i | −0.0862390 | − | 0.0626563i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 10.6067 | + | 32.6440i | 0.362317 | + | 1.11510i | 0.951644 | + | 0.307203i | \(0.0993931\pi\) |
−0.589327 | + | 0.807895i | \(0.700607\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.29173 | − | 2.39158i | −0.112313 | − | 0.0815998i | 0.530211 | − | 0.847866i | \(-0.322113\pi\) |
−0.642524 | + | 0.766266i | \(0.722113\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.15173 | − | 17.3262i | −0.0733307 | − | 0.590477i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17.2048 | + | 12.5000i | 0.585658 | + | 0.425505i | 0.840759 | − | 0.541409i | \(-0.182109\pi\) |
−0.255101 | + | 0.966914i | \(0.582109\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.781717 | + | 2.40588i | 0.0265792 | + | 0.0818023i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −23.7958 | − | 17.2887i | −0.808148 | − | 0.587154i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.17494 | + | 22.0822i | −0.243393 | + | 0.749087i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.77946 | − | 20.8650i | 0.229713 | − | 0.706985i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.09194 | − | 12.5937i | −0.138491 | − | 0.426232i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −9.31587 | −0.314934 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.00294 | + | 0.728677i | −0.0338668 | + | 0.0246057i | −0.604590 | − | 0.796537i | \(-0.706663\pi\) |
0.570723 | + | 0.821143i | \(0.306663\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 4.85285 | + | 3.52580i | 0.163683 | + | 0.118922i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 26.4640 | − | 19.2272i | 0.891594 | − | 0.647781i | −0.0446991 | − | 0.999000i | \(-0.514233\pi\) |
0.936293 | + | 0.351220i | \(0.114233\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.87102 | + | 5.71863i | −0.264881 | + | 0.192447i | −0.712296 | − | 0.701879i | \(-0.752345\pi\) |
0.447415 | + | 0.894326i | \(0.352345\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −10.2601 | + | 31.5772i | −0.344888 | + | 1.06146i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.91077 | + | 24.3469i | 0.265618 | + | 0.817487i | 0.991550 | + | 0.129722i | \(0.0414084\pi\) |
−0.725933 | + | 0.687766i | \(0.758592\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.82246 | + | 7.13643i | 0.329435 | + | 0.239348i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.36766 | − | 10.3646i | 0.112821 | − | 0.347227i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.03879 | −0.202080 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.326041 | − | 0.236883i | 0.0108984 | − | 0.00791812i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.9775 | + | 39.9405i | 0.433305 | + | 1.33357i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.73833 | −0.0579766 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.50261 | 0.183319 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.35416 | 0.178175 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 19.1701 | 0.637236 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.79658 | + | 30.1508i | 0.325290 | + | 1.00114i | 0.971310 | + | 0.237819i | \(0.0764325\pi\) |
−0.646019 | + | 0.763321i | \(0.723568\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −32.8180 | + | 23.8437i | −1.08850 | + | 0.790845i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 52.3995 | 1.73607 | 0.868036 | − | 0.496501i | \(-0.165382\pi\) | ||||
0.868036 | + | 0.496501i | \(0.165382\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.3798 | − | 62.7226i | 0.674473 | − | 2.07582i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 22.5686 | + | 16.3971i | 0.746095 | + | 0.542070i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.45567 | + | 10.6355i | 0.114116 | + | 0.351214i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.0581 | − | 52.4994i | 0.562694 | − | 1.73179i | −0.112012 | − | 0.993707i | \(-0.535729\pi\) |
0.674706 | − | 0.738087i | \(-0.264271\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 6.83261 | − | 4.96418i | 0.225142 | − | 0.163575i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −24.4804 | + | 17.7860i | −0.805781 | + | 0.585434i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.86732 | − | 3.53632i | −0.160037 | − | 0.116273i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −23.8551 | + | 17.3317i | −0.783504 | + | 0.569249i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −43.7122 | −1.43415 | −0.717076 | − | 0.696995i | \(-0.754520\pi\) | ||||
−0.717076 | + | 0.696995i | \(0.754520\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.207626 | − | 0.639008i | −0.00680468 | − | 0.0209426i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −21.1186 | + | 64.9962i | −0.691390 | + | 2.12788i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.04268 | − | 21.6751i | 0.230320 | − | 0.708853i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −39.5531 | − | 28.7370i | −1.29214 | − | 0.938797i | −0.292297 | − | 0.956328i | \(-0.594420\pi\) |
−0.999846 | + | 0.0175303i | \(0.994420\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −14.1432 | − | 43.5284i | −0.461547 | − | 1.42050i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 15.3078 | + | 11.1218i | 0.499020 | + | 0.362559i | 0.808642 | − | 0.588300i | \(-0.200203\pi\) |
−0.309623 | + | 0.950859i | \(0.600203\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36.4724 | − | 17.0688i | 1.18771 | − | 0.555838i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.31091 | − | 2.40552i | −0.107704 | − | 0.0782515i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −13.8538 | − | 42.6376i | −0.450188 | − | 1.38554i | −0.876693 | − | 0.481050i | \(-0.840256\pi\) |
0.426505 | − | 0.904485i | \(-0.359744\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 25.8290 | + | 18.7659i | 0.838445 | + | 0.609166i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.17163 | − | 9.76126i | 0.102847 | − | 0.316531i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.25934 | + | 6.95354i | −0.0731872 | + | 0.225247i | −0.980958 | − | 0.194219i | \(-0.937783\pi\) |
0.907771 | + | 0.419466i | \(0.137783\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.71410 | − | 5.27546i | −0.0554670 | − | 0.170710i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −20.2323 | −0.654018 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 16.7462 | − | 12.1668i | 0.540764 | − | 0.392888i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.3210 | + | 17.6702i | 0.784549 | + | 0.570008i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.935398 | + | 0.679607i | −0.0301428 | + | 0.0219000i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.14444 | + | 0.831485i | −0.0368409 | + | 0.0267665i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 9.09213 | − | 27.9827i | 0.292383 | − | 0.899863i | −0.691705 | − | 0.722180i | \(-0.743140\pi\) |
0.984088 | − | 0.177682i | \(-0.0568600\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.98428 | − | 9.18468i | −0.0958690 | − | 0.295055i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 24.0718 | + | 17.4892i | 0.772502 | + | 0.561255i | 0.902719 | − | 0.430230i | \(-0.141568\pi\) |
−0.130218 | + | 0.991485i | \(0.541568\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.30853 | + | 10.1826i | −0.106067 | + | 0.326439i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 26.0818 | 0.835287 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0.844853 | − | 0.613822i | 0.0270292 | − | 0.0196379i | −0.574189 | − | 0.818723i | \(-0.694682\pi\) |
0.601218 | + | 0.799085i | \(0.294682\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.0864726 | − | 0.266135i | −0.00276368 | − | 0.00850572i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −49.5941 | −1.58342 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −38.1628 | −1.21720 | −0.608602 | − | 0.793476i | \(-0.708269\pi\) | ||||
−0.608602 | + | 0.793476i | \(0.708269\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.71848 | 0.245931 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −24.5068 | −0.780059 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.81606 | + | 11.7446i | 0.121344 | + | 0.373458i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.54172 | − | 5.47938i | 0.239571 | − | 0.174058i | −0.461521 | − | 0.887129i | \(-0.652696\pi\) |
0.701092 | + | 0.713071i | \(0.252696\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 75.8453 | 2.40688 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.81216 | − | 14.8103i | 0.152556 | − | 0.469519i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −25.6538 | − | 18.6386i | −0.812463 | − | 0.590289i | 0.102080 | − | 0.994776i | \(-0.467450\pi\) |
−0.914544 | + | 0.404487i | \(0.867450\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.86228 | − | 5.73151i | −0.0589200 | − | 0.181337i |
(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 | 1148.2.n.c.953.4 | yes | 16 | |
41.37 | even | 5 | inner | 1148.2.n.c.365.4 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1148.2.n.c.365.4 | ✓ | 16 | 41.37 | even | 5 | inner | |
1148.2.n.c.953.4 | yes | 16 | 1.1 | even | 1 | trivial |