Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(53,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 313.5 | ||
Character | \(\chi\) | \(=\) | 572.313 |
Dual form | 572.2.n.b.53.5 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 | ||||||||
\(3\) | 0.178116 | + | 0.129409i | 0.102836 | + | 0.0747144i | 0.638015 | − | 0.770024i | \(-0.279756\pi\) |
−0.535179 | + | 0.844739i | \(0.679756\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.35047 | − | 4.15632i | 0.603948 | − | 1.85876i | 0.100082 | − | 0.994979i | \(-0.468089\pi\) |
0.503866 | − | 0.863782i | \(-0.331911\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.13912 | + | 2.28071i | −1.18648 | + | 0.862026i | −0.992887 | − | 0.119057i | \(-0.962013\pi\) |
−0.193589 | + | 0.981083i | \(0.562013\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.912072 | − | 2.80707i | −0.304024 | − | 0.935690i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.23144 | + | 0.746877i | 0.974314 | + | 0.225192i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.309017 | − | 0.951057i | −0.0857059 | − | 0.263776i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.778406 | − | 0.565545i | 0.200984 | − | 0.146023i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.502635 | − | 1.54695i | 0.121907 | − | 0.375191i | −0.871418 | − | 0.490541i | \(-0.836799\pi\) |
0.993325 | + | 0.115350i | \(0.0367991\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.94112 | − | 2.86339i | −0.904156 | − | 0.656908i | 0.0353742 | − | 0.999374i | \(-0.488738\pi\) |
−0.939530 | + | 0.342466i | \(0.888738\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.854274 | −0.186418 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.01571 | −0.837334 | −0.418667 | − | 0.908140i | \(-0.637503\pi\) | ||||
−0.418667 | + | 0.908140i | \(0.637503\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −11.4061 | − | 8.28703i | −2.28122 | − | 1.65741i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.404909 | − | 1.24618i | 0.0779248 | − | 0.239828i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.63739 | − | 3.36926i | 0.861142 | − | 0.625656i | −0.0670538 | − | 0.997749i | \(-0.521360\pi\) |
0.928195 | + | 0.372093i | \(0.121360\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.353067 | + | 1.08663i | 0.0634127 | + | 0.195164i | 0.977743 | − | 0.209804i | \(-0.0672826\pi\) |
−0.914331 | + | 0.404968i | \(0.867283\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.478919 | + | 0.551209i | 0.0833691 | + | 0.0959531i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.24005 | + | 16.1272i | 0.885730 | + | 2.72600i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.50562 | − | 1.82044i | 0.411922 | − | 0.299278i | −0.362458 | − | 0.932000i | \(-0.618062\pi\) |
0.774379 | + | 0.632722i | \(0.218062\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0680344 | − | 0.209388i | 0.0108942 | − | 0.0335290i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.51654 | + | 3.28146i | 0.705365 | + | 0.512478i | 0.881675 | − | 0.471857i | \(-0.156416\pi\) |
−0.176310 | + | 0.984335i | \(0.556416\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.48077 | 0.378314 | 0.189157 | − | 0.981947i | \(-0.439424\pi\) | ||||
0.189157 | + | 0.981947i | \(0.439424\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −12.8988 | −1.92284 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.04252 | − | 5.84323i | −1.17312 | − | 0.852323i | −0.181743 | − | 0.983346i | \(-0.558174\pi\) |
−0.991379 | + | 0.131023i | \(0.958174\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.48935 | − | 7.66143i | 0.355621 | − | 1.09449i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.289718 | − | 0.210492i | 0.0405686 | − | 0.0294748i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.96619 | + | 9.12900i | 0.407438 | + | 1.25396i | 0.918843 | + | 0.394624i | \(0.129125\pi\) |
−0.511405 | + | 0.859340i | \(0.670875\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.46821 | − | 12.4222i | 1.00701 | − | 1.67501i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.331430 | − | 1.02004i | −0.0438989 | − | 0.135107i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.89282 | − | 5.73447i | 1.02756 | − | 0.746564i | 0.0597391 | − | 0.998214i | \(-0.480973\pi\) |
0.967818 | + | 0.251650i | \(0.0809731\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.38357 | + | 4.25820i | −0.177148 | + | 0.545206i | −0.999725 | − | 0.0234476i | \(-0.992536\pi\) |
0.822577 | + | 0.568654i | \(0.192536\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 9.26521 | + | 6.73157i | 1.16731 | + | 0.848098i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.37021 | −0.542058 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.89186 | 0.353297 | 0.176649 | − | 0.984274i | \(-0.443474\pi\) | ||||
0.176649 | + | 0.984274i | \(0.443474\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.715265 | − | 0.519670i | −0.0861077 | − | 0.0625609i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.96928 | − | 12.2162i | 0.471067 | − | 1.44980i | −0.380122 | − | 0.924936i | \(-0.624118\pi\) |
0.851189 | − | 0.524859i | \(-0.175882\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.66478 | − | 2.66262i | 0.428930 | − | 0.311636i | −0.352291 | − | 0.935890i | \(-0.614597\pi\) |
0.781221 | + | 0.624255i | \(0.214597\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.959199 | − | 2.95211i | −0.110759 | − | 0.340881i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −11.8473 | + | 5.02542i | −1.35012 | + | 0.572699i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.14428 | + | 6.59941i | 0.241250 | + | 0.742492i | 0.996231 | + | 0.0867444i | \(0.0276464\pi\) |
−0.754980 | + | 0.655747i | \(0.772354\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.93012 | + | 5.03503i | −0.770013 | + | 0.559447i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.949480 | − | 2.92220i | 0.104219 | − | 0.320753i | −0.885327 | − | 0.464968i | \(-0.846066\pi\) |
0.989546 | + | 0.144215i | \(0.0460658\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.75083 | − | 4.17822i | −0.623765 | − | 0.453192i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.26201 | 0.135302 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 16.3403 | 1.73206 | 0.866032 | − | 0.499988i | \(-0.166662\pi\) | ||||
0.866032 | + | 0.499988i | \(0.166662\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.13912 | + | 2.28071i | 0.329069 | + | 0.239083i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.0777326 | + | 0.239236i | −0.00806050 | + | 0.0248077i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −17.2235 | + | 12.5136i | −1.76710 | + | 1.28387i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.34446 | + | 4.13784i | 0.136510 | + | 0.420134i | 0.995822 | − | 0.0913179i | \(-0.0291079\pi\) |
−0.859312 | + | 0.511452i | \(0.829108\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.850767 | − | 9.75207i | −0.0855053 | − | 0.980120i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.02948 | + | 18.5568i | 0.599955 | + | 1.84647i | 0.528326 | + | 0.849042i | \(0.322820\pi\) |
0.0716297 | + | 0.997431i | \(0.477180\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.89485 | + | 2.10323i | −0.285238 | + | 0.207238i | −0.721199 | − | 0.692728i | \(-0.756409\pi\) |
0.435961 | + | 0.899966i | \(0.356409\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.15367 | + | 3.55063i | −0.112587 | + | 0.346506i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.94959 | + | 6.50225i | 0.865189 | + | 0.628597i | 0.929292 | − | 0.369347i | \(-0.120419\pi\) |
−0.0641026 | + | 0.997943i | \(0.520419\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.70277 | 0.163096 | 0.0815480 | − | 0.996669i | \(-0.474014\pi\) | ||||
0.0815480 | + | 0.996669i | \(0.474014\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.681874 | 0.0647206 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.33826 | − | 6.05810i | −0.784397 | − | 0.569898i | 0.121898 | − | 0.992543i | \(-0.461102\pi\) |
−0.906296 | + | 0.422645i | \(0.861102\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.42309 | + | 16.6906i | −0.505706 | + | 1.55640i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.38784 | + | 1.73486i | −0.220756 | + | 0.160388i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.95031 | + | 6.00244i | 0.178785 | + | 0.550242i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.88435 | + | 4.82697i | 0.898577 | + | 0.438815i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.379819 | + | 1.16896i | 0.0342472 | + | 0.105402i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −32.1692 | + | 23.3723i | −2.87730 | + | 2.09048i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.12478 | + | 18.8501i | −0.543487 | + | 1.67268i | 0.181074 | + | 0.983469i | \(0.442042\pi\) |
−0.724561 | + | 0.689211i | \(0.757958\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.441867 | + | 0.321035i | 0.0389042 | + | 0.0282656i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.46470 | −0.652194 | −0.326097 | − | 0.945336i | \(-0.605734\pi\) | ||||
−0.326097 | + | 0.945336i | \(0.605734\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.9022 | 1.63903 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.63271 | − | 3.36586i | −0.398720 | − | 0.289687i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.89065 | + | 5.81883i | −0.161529 | + | 0.497136i | −0.998764 | − | 0.0497080i | \(-0.984171\pi\) |
0.837234 | + | 0.546844i | \(0.184171\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.8794 | − | 11.5371i | 1.34688 | − | 0.978562i | 0.347714 | − | 0.937601i | \(-0.386958\pi\) |
0.999161 | − | 0.0409615i | \(-0.0130421\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.676337 | − | 2.08155i | −0.0569579 | − | 0.175298i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.288246 | − | 3.30408i | −0.0241044 | − | 0.276301i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.74106 | − | 23.8245i | −0.642860 | − | 1.97852i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.43485 | − | 1.04248i | 0.118345 | − | 0.0859825i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.48572 | − | 10.7280i | 0.285562 | − | 0.878868i | −0.700668 | − | 0.713487i | \(-0.747115\pi\) |
0.986230 | − | 0.165381i | \(-0.0528854\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.89963 | + | 5.73942i | 0.642863 | + | 0.467067i | 0.860833 | − | 0.508888i | \(-0.169943\pi\) |
−0.217970 | + | 0.975956i | \(0.569943\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.80084 | −0.388125 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.99318 | 0.401061 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.50663 | + | 4.72734i | 0.519285 | + | 0.377283i | 0.816335 | − | 0.577579i | \(-0.196003\pi\) |
−0.297049 | + | 0.954862i | \(0.596003\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.653049 | + | 2.00988i | −0.0517901 | + | 0.159394i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.6058 | − | 9.15866i | 0.993477 | − | 0.721803i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.74508 | + | 8.44847i | 0.215011 | + | 0.661735i | 0.999153 | + | 0.0411540i | \(0.0131034\pi\) |
−0.784142 | + | 0.620582i | \(0.786897\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.93776 | − | 1.24615i | 0.228705 | − | 0.0970126i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.98840 | − | 9.19734i | −0.231249 | − | 0.711712i | −0.997597 | − | 0.0692856i | \(-0.977928\pi\) |
0.766348 | − | 0.642426i | \(-0.222072\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.809017 | + | 0.587785i | −0.0622321 | + | 0.0452143i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.44316 | + | 13.6746i | −0.339777 | + | 1.04573i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −9.91019 | − | 7.20017i | −0.753458 | − | 0.547419i | 0.143439 | − | 0.989659i | \(-0.454184\pi\) |
−0.896897 | + | 0.442240i | \(0.854184\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 54.7055 | 4.13534 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.14793 | 0.161449 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.30205 | − | 0.945993i | −0.0973196 | − | 0.0707068i | 0.538061 | − | 0.842906i | \(-0.319157\pi\) |
−0.635381 | + | 0.772199i | \(0.719157\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.86293 | − | 8.81118i | 0.212800 | − | 0.654930i | −0.786503 | − | 0.617587i | \(-0.788110\pi\) |
0.999302 | − | 0.0373434i | \(-0.0118895\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.797487 | + | 0.579408i | −0.0589520 | + | 0.0428311i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.18256 | − | 12.8726i | −0.307508 | − | 0.946412i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.77962 | − | 4.62347i | 0.203266 | − | 0.338102i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.57111 | + | 4.83539i | 0.114282 | + | 0.351723i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.60854 | + | 3.34830i | −0.333462 | + | 0.242275i | −0.741898 | − | 0.670512i | \(-0.766074\pi\) |
0.408436 | + | 0.912787i | \(0.366074\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.07478 | − | 12.5409i | 0.293309 | − | 0.902712i | −0.690475 | − | 0.723356i | \(-0.742599\pi\) |
0.983784 | − | 0.179356i | \(-0.0574014\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.778406 | − | 0.565545i | −0.0557428 | − | 0.0404995i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.2046 | −1.01204 | −0.506018 | − | 0.862523i | \(-0.668883\pi\) | ||||
−0.506018 | + | 0.862523i | \(0.668883\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.23611 | −0.300290 | −0.150145 | − | 0.988664i | \(-0.547974\pi\) | ||||
−0.150145 | + | 0.988664i | \(0.547974\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.515088 | + | 0.374234i | 0.0363315 | + | 0.0263964i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −6.87304 | + | 21.1530i | −0.482393 | + | 1.48465i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.7382 | − | 14.3407i | 1.37858 | − | 1.00160i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.66262 | + | 11.2724i | 0.254570 | + | 0.783485i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −10.5969 | − | 12.1964i | −0.733002 | − | 0.843643i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.66961 | − | 8.21622i | −0.183784 | − | 0.565628i | 0.816142 | − | 0.577852i | \(-0.196109\pi\) |
−0.999925 | + | 0.0122241i | \(0.996109\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.28788 | − | 1.66224i | 0.156763 | − | 0.113895i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.35021 | − | 10.3109i | 0.228482 | − | 0.703196i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.58660 | − | 2.60582i | −0.243474 | − | 0.176894i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.997324 | 0.0673929 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.62656 | −0.109414 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.5688 | + | 7.67870i | 0.707741 | + | 0.514204i | 0.882444 | − | 0.470417i | \(-0.155897\pi\) |
−0.174703 | + | 0.984621i | \(0.555897\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.8591 | + | 39.5761i | −0.857271 | + | 2.63841i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.73587 | − | 3.44081i | 0.314331 | − | 0.228375i | −0.419422 | − | 0.907791i | \(-0.637767\pi\) |
0.733752 | + | 0.679417i | \(0.237767\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.97376 | − | 12.2300i | −0.262593 | − | 0.808179i | −0.992238 | − | 0.124353i | \(-0.960315\pi\) |
0.729645 | − | 0.683826i | \(-0.239685\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.76053 | − | 0.638037i | −0.181630 | − | 0.0419798i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.56654 | + | 26.3651i | 0.561213 | + | 1.72723i | 0.678945 | + | 0.734189i | \(0.262438\pi\) |
−0.117732 | + | 0.993045i | \(0.537562\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −35.1475 | + | 25.5362i | −2.29277 | + | 1.66580i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.472093 | + | 1.45295i | −0.0306657 | + | 0.0943795i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.51759 | − | 1.10259i | −0.0981648 | − | 0.0713209i | 0.537620 | − | 0.843187i | \(-0.319323\pi\) |
−0.635785 | + | 0.771866i | \(0.719323\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −17.3205 | −1.11571 | −0.557856 | − | 0.829938i | \(-0.688376\pi\) | ||||
−0.557856 | + | 0.829938i | \(0.688376\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.81689 | −0.373153 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −28.4815 | − | 20.6931i | −1.81962 | − | 1.32203i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.50538 | + | 4.63307i | −0.0957847 | + | 0.294795i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.547277 | − | 0.397620i | 0.0346823 | − | 0.0251982i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −7.56947 | − | 23.2964i | −0.477781 | − | 1.47046i | −0.842170 | − | 0.539212i | \(-0.818722\pi\) |
0.364389 | − | 0.931247i | \(-0.381278\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.9765 | − | 2.99924i | −0.815826 | − | 0.188561i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.483617 | − | 1.48842i | −0.0302853 | − | 0.0932085i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 21.3955 | − | 15.5448i | 1.33462 | − | 0.969655i | 0.334993 | − | 0.942221i | \(-0.391266\pi\) |
0.999624 | − | 0.0274347i | \(-0.00873383\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.71356 | + | 11.4292i | −0.230749 | + | 0.710174i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −13.6874 | − | 9.94447i | −0.847228 | − | 0.615547i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −15.5302 | −0.957634 | −0.478817 | − | 0.877915i | \(-0.658934\pi\) | ||||
−0.478817 | + | 0.877915i | \(0.658934\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 41.9487 | 2.57689 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.91047 | + | 2.11458i | 0.178118 | + | 0.129410i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.16145 | + | 12.8076i | −0.253728 | + | 0.780895i | 0.740349 | + | 0.672222i | \(0.234660\pi\) |
−0.994078 | + | 0.108673i | \(0.965340\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.68125 | − | 1.22150i | 0.102129 | − | 0.0742009i | −0.535549 | − | 0.844504i | \(-0.679895\pi\) |
0.637678 | + | 0.770303i | \(0.279895\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.263985 | + | 0.812463i | 0.0159771 | + | 0.0491725i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −30.6687 | − | 35.2980i | −1.84939 | − | 2.12855i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.325836 | + | 1.00282i | 0.0195776 | + | 0.0602536i | 0.960368 | − | 0.278735i | \(-0.0899151\pi\) |
−0.940790 | + | 0.338989i | \(0.889915\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.72822 | − | 1.98217i | 0.163334 | − | 0.118669i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.631654 | − | 1.94403i | 0.0376813 | − | 0.115971i | −0.930447 | − | 0.366428i | \(-0.880581\pi\) |
0.968128 | + | 0.250457i | \(0.0805807\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.3319 | − | 12.5923i | −1.03027 | − | 0.748536i | −0.0619088 | − | 0.998082i | \(-0.519719\pi\) |
−0.968363 | + | 0.249545i | \(0.919719\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.68718 | −0.277644 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −21.6620 | −1.27867 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.6129 | + | 8.43724i | 0.683110 | + | 0.496308i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.296003 | + | 0.911003i | −0.0173520 | + | 0.0534040i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 17.7679 | − | 12.9091i | 1.03801 | − | 0.754159i | 0.0681149 | − | 0.997677i | \(-0.478302\pi\) |
0.969896 | + | 0.243518i | \(0.0783016\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.1753 | − | 40.5493i | −0.767093 | − | 2.36087i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.23918 | − | 3.72454i | 0.129930 | − | 0.216120i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.24092 | + | 3.81917i | 0.0717644 | + | 0.220868i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.78745 | + | 5.65792i | −0.448861 | + | 0.326117i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.32747 | + | 4.08555i | −0.0762614 | + | 0.234709i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.8299 | + | 11.5011i | 0.906420 | + | 0.658553i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.9551 | 0.967681 | 0.483841 | − | 0.875156i | \(-0.339241\pi\) | ||||
0.483841 | + | 0.875156i | \(0.339241\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.787799 | −0.0448163 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.0619 | + | 10.2166i | 0.797380 | + | 0.579330i | 0.910144 | − | 0.414292i | \(-0.135971\pi\) |
−0.112765 | + | 0.993622i | \(0.535971\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.64033 | − | 14.2815i | 0.262287 | − | 0.807237i | −0.730019 | − | 0.683427i | \(-0.760489\pi\) |
0.992306 | − | 0.123810i | \(-0.0395113\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 40.4909 | − | 29.4184i | 2.28140 | − | 1.65754i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.20255 | − | 6.77874i | −0.123707 | − | 0.380732i | 0.869956 | − | 0.493129i | \(-0.164147\pi\) |
−0.993663 | + | 0.112397i | \(0.964147\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.5018 | − | 7.42399i | 0.979915 | − | 0.415664i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.752617 | + | 2.31632i | 0.0420070 | + | 0.129284i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.41048 | + | 4.65749i | −0.356689 | + | 0.259150i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.35675 | + | 13.4087i | −0.241669 | + | 0.743780i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.303292 | + | 0.220354i | 0.0167721 | + | 0.0121856i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 38.5732 | 2.12661 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.8163 | 1.52892 | 0.764462 | − | 0.644669i | \(-0.223005\pi\) | ||||
0.764462 | + | 0.644669i | \(0.223005\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.39541 | − | 5.37308i | −0.405266 | − | 0.294443i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.90537 | − | 12.0195i | 0.213373 | − | 0.656695i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.2896 | − | 15.4678i | 1.15972 | − | 0.842586i | 0.169977 | − | 0.985448i | \(-0.445631\pi\) |
0.989743 | + | 0.142862i | \(0.0456306\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.701208 | − | 2.15809i | −0.0380844 | − | 0.117212i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.329335 | + | 3.77507i | 0.0178345 | + | 0.204431i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.26583 | + | 3.89583i | 0.0683485 | + | 0.210355i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.12586 | + | 2.27107i | −0.168290 | + | 0.122270i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.14525 | + | 12.7578i | −0.222529 | + | 0.684873i | 0.776004 | + | 0.630727i | \(0.217243\pi\) |
−0.998533 | + | 0.0541453i | \(0.982757\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −27.1416 | − | 19.7195i | −1.45286 | − | 1.05556i | −0.985154 | − | 0.171676i | \(-0.945082\pi\) |
−0.467702 | − | 0.883886i | \(-0.654918\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.31031 | −0.0699393 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.2306 | 1.28966 | 0.644832 | − | 0.764324i | \(-0.276927\pi\) | ||||
0.644832 | + | 0.764324i | \(0.276927\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −45.4140 | − | 32.9952i | −2.41032 | − | 1.75120i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.429388 | + | 1.32152i | −0.0227256 | + | 0.0699423i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −17.8799 | + | 12.9905i | −0.943664 | + | 0.685612i | −0.949300 | − | 0.314372i | \(-0.898206\pi\) |
0.00563601 | + | 0.999984i | \(0.498206\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.46211 | + | 4.49991i | 0.0769531 | + | 0.236837i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.13591 | + | 2.13889i | 0.0596199 | + | 0.112263i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.11751 | − | 18.8277i | −0.320205 | − | 0.985489i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.5328 | − | 14.1914i | 1.01960 | − | 0.740784i | 0.0534009 | − | 0.998573i | \(-0.482994\pi\) |
0.966201 | + | 0.257789i | \(0.0829939\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.09187 | − | 15.6712i | 0.265072 | − | 0.815808i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −30.1318 | − | 21.8920i | −1.56436 | − | 1.13658i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −36.4461 | −1.88711 | −0.943555 | − | 0.331216i | \(-0.892541\pi\) | ||||
−0.943555 | + | 0.331216i | \(0.892541\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.75446 | −0.452079 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.63739 | − | 3.36926i | −0.238838 | − | 0.173526i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.32922 | − | 10.2463i | 0.171011 | − | 0.526317i | −0.828418 | − | 0.560110i | \(-0.810759\pi\) |
0.999429 | + | 0.0337933i | \(0.0107588\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.53031 | + | 2.56492i | −0.180863 | + | 0.131405i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.84080 | + | 8.74308i | 0.145158 | + | 0.446750i | 0.997031 | − | 0.0769976i | \(-0.0245334\pi\) |
−0.851873 | + | 0.523748i | \(0.824533\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.88783 | + | 56.0277i | 0.249107 | + | 2.85544i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.26265 | − | 6.96371i | −0.115017 | − | 0.353985i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.29887 | + | 6.75602i | −0.471471 | + | 0.342544i | −0.798014 | − | 0.602638i | \(-0.794116\pi\) |
0.326543 | + | 0.945182i | \(0.394116\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.01844 | + | 6.21212i | −0.102077 | + | 0.314160i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.32959 | − | 0.966001i | −0.0670687 | − | 0.0487283i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 30.3250 | 1.52582 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.3434 | 0.770062 | 0.385031 | − | 0.922904i | \(-0.374191\pi\) | ||||
0.385031 | + | 0.922904i | \(0.374191\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.36680 | + | 2.44612i | 0.168551 | + | 0.122459i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.17675 | + | 6.69936i | −0.108702 | + | 0.334550i | −0.990581 | − | 0.136925i | \(-0.956278\pi\) |
0.881880 | + | 0.471475i | \(0.156278\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.924341 | − | 0.671573i | 0.0460447 | − | 0.0334534i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 11.5683 | + | 35.6034i | 0.574831 | + | 1.76915i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.45640 | − | 4.01124i | 0.468736 | − | 0.198830i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.990253 | + | 3.04769i | 0.0489649 | + | 0.150698i | 0.972549 | − | 0.232696i | \(-0.0747549\pi\) |
−0.923585 | + | 0.383395i | \(0.874755\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.08977 | + | 0.791762i | −0.0537542 | + | 0.0390547i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −11.6979 | + | 36.0024i | −0.575615 | + | 1.77156i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.8633 | − | 7.89268i | −0.533260 | − | 0.387436i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.32139 | 0.211619 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.9448 | −0.925514 | −0.462757 | − | 0.886485i | \(-0.653140\pi\) | ||||
−0.462757 | + | 0.886485i | \(0.653140\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.8451 | + | 11.5121i | 0.772241 | + | 0.561066i | 0.902640 | − | 0.430395i | \(-0.141626\pi\) |
−0.130399 | + | 0.991462i | \(0.541626\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.06700 | + | 27.9054i | −0.440853 | + | 1.35681i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −18.5528 | + | 13.4794i | −0.899941 | + | 0.653845i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.36849 | − | 16.5225i | −0.259800 | − | 0.799581i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.376236 | − | 0.625812i | 0.0181649 | − | 0.0302145i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.0198 | + | 30.8376i | 0.482634 | + | 1.48540i | 0.835378 | + | 0.549676i | \(0.185249\pi\) |
−0.352743 | + | 0.935720i | \(0.614751\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.7793 | + | 15.8236i | −1.04665 | + | 0.760433i | −0.971572 | − | 0.236745i | \(-0.923920\pi\) |
−0.0750747 | + | 0.997178i | \(0.523920\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.70430 | − | 5.24531i | 0.0817151 | − | 0.251493i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 15.8264 | + | 11.4986i | 0.757080 | + | 0.550051i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −39.5595 | −1.88807 | −0.944037 | − | 0.329841i | \(-0.893005\pi\) | ||||
−0.944037 | + | 0.329841i | \(0.893005\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −23.7766 | −1.13222 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.29026 | + | 4.57014i | 0.298859 | + | 0.217134i | 0.727102 | − | 0.686530i | \(-0.240867\pi\) |
−0.428242 | + | 0.903664i | \(0.640867\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 22.0670 | − | 67.9153i | 1.04608 | − | 3.21949i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.00916 | − | 1.45974i | 0.0950301 | − | 0.0690434i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.86611 | − | 5.74328i | −0.0880670 | − | 0.271042i | 0.897318 | − | 0.441385i | \(-0.145513\pi\) |
−0.985385 | + | 0.170343i | \(0.945513\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.1441 | + | 13.9771i | 0.571841 | + | 0.658157i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.664321 | + | 2.04457i | 0.0312125 | + | 0.0960623i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 13.7186 | − | 9.96716i | 0.643139 | − | 0.467268i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.5474 | + | 35.5391i | −0.540163 | + | 1.66245i | 0.192059 | + | 0.981383i | \(0.438483\pi\) |
−0.732222 | + | 0.681066i | \(0.761517\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.72426 | − | 1.25275i | −0.0804816 | − | 0.0584733i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.25906 | 0.151789 | 0.0758947 | − | 0.997116i | \(-0.475819\pi\) | ||||
0.0758947 | + | 0.997116i | \(0.475819\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.7618 | −1.01136 | −0.505678 | − | 0.862722i | \(-0.668758\pi\) | ||||
−0.505678 | + | 0.862722i | \(0.668758\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.889367 | + | 0.646163i | 0.0412434 | + | 0.0299651i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.96156 | + | 12.1924i | −0.183319 | + | 0.564198i | −0.999915 | − | 0.0130112i | \(-0.995858\pi\) |
0.816596 | + | 0.577209i | \(0.195858\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.07791 | + | 6.59549i | −0.419179 | + | 0.304551i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.547176 | + | 1.68404i | 0.0252125 | + | 0.0775962i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 8.01646 | + | 1.85283i | 0.368597 | + | 0.0851933i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 21.2239 | + | 65.3204i | 0.973819 | + | 2.99711i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 22.9203 | − | 16.6526i | 1.04945 | − | 0.762471i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 11.0246 | − | 33.9303i | 0.503728 | − | 1.55032i | −0.299169 | − | 0.954200i | \(-0.596710\pi\) |
0.802898 | − | 0.596117i | \(-0.203290\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.50562 | − | 1.82044i | −0.114246 | − | 0.0830049i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.43052 | 0.156094 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 19.0138 | 0.863373 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −30.1986 | − | 21.9405i | −1.36843 | − | 0.994220i | −0.997858 | − | 0.0654154i | \(-0.979163\pi\) |
−0.370569 | − | 0.928805i | \(-0.620837\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.604367 | + | 1.86005i | −0.0273304 | + | 0.0841144i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.74156 | − | 1.26532i | 0.0785956 | − | 0.0571030i | −0.547794 | − | 0.836614i | \(-0.684532\pi\) |
0.626389 | + | 0.779510i | \(0.284532\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.88117 | − | 8.86733i | −0.129761 | − | 0.399364i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −41.6816 | − | 9.63381i | −1.87345 | − | 0.433008i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 15.4015 | + | 47.4009i | 0.690851 | + | 2.12622i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.6994 | − | 9.22666i | 0.568504 | − | 0.413042i | −0.266058 | − | 0.963957i | \(-0.585721\pi\) |
0.834561 | + | 0.550915i | \(0.185721\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.657938 | − | 2.02492i | 0.0293945 | − | 0.0904669i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 25.4031 | + | 18.4564i | 1.13267 | + | 0.822930i | 0.986081 | − | 0.166268i | \(-0.0531717\pi\) |
0.146585 | + | 0.989198i | \(0.453172\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 85.2707 | 3.79449 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.220164 | −0.00977783 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.17106 | − | 2.30391i | −0.140555 | − | 0.102119i | 0.515286 | − | 0.857018i | \(-0.327686\pi\) |
−0.655841 | + | 0.754899i | \(0.727686\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.43154 | + | 16.7165i | −0.240277 | + | 0.739497i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.16410 | + | 3.75194i | −0.228001 | + | 0.165652i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.83230 | + | 14.8723i | 0.212936 | + | 0.655351i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −21.6247 | − | 24.8888i | −0.951054 | − | 1.09461i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.833399 | − | 2.56494i | −0.0365822 | − | 0.112588i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −25.1394 | + | 18.2648i | −1.10137 | + | 0.800196i | −0.981284 | − | 0.192567i | \(-0.938319\pi\) |
−0.120091 | + | 0.992763i | \(0.538319\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.87093 | − | 14.9912i | 0.212991 | − | 0.655519i | −0.786299 | − | 0.617846i | \(-0.788006\pi\) |
0.999290 | − | 0.0376729i | \(-0.0119945\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 9.74394 | + | 7.07939i | 0.425261 | + | 0.308970i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.85843 | 0.0809543 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.87406 | −0.298872 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −23.2959 | − | 16.9254i | −1.01095 | − | 0.734502i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.72516 | − | 5.30951i | 0.0747252 | − | 0.229980i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 39.1116 | − | 28.4162i | 1.69094 | − | 1.22854i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.109496 | − | 0.336994i | −0.00472510 | − | 0.0145424i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 13.7663 | − | 22.8982i | 0.592957 | − | 0.986295i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.05933 | − | 15.5710i | −0.217518 | − | 0.669450i | −0.998965 | − | 0.0454794i | \(-0.985518\pi\) |
0.781448 | − | 0.623971i | \(-0.214482\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.65018 | − | 1.19893i | 0.0708161 | − | 0.0514509i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 2.29954 | − | 7.07726i | 0.0985015 | − | 0.303156i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.0023 | + | 17.4387i | 1.02627 | + | 0.745626i | 0.967558 | − | 0.252649i | \(-0.0813019\pi\) |
0.0587081 | + | 0.998275i | \(0.481302\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 13.2150 | 0.564002 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −27.9240 | −1.18960 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −21.7825 | − | 15.8259i | −0.926285 | − | 0.672985i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.920850 | − | 2.83408i | 0.0390879 | − | 0.120300i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −29.6170 | + | 21.5180i | −1.25491 | + | 0.911747i | −0.998496 | − | 0.0548193i | \(-0.982542\pi\) |
−0.256416 | + | 0.966567i | \(0.582542\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.766601 | − | 2.35936i | −0.0324238 | − | 0.0997901i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.09342 | − | 0.463808i | 0.0461640 | − | 0.0195820i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.6585 | + | 35.8810i | 0.491345 | + | 1.51221i | 0.822576 | + | 0.568655i | \(0.192536\pi\) |
−0.331231 | + | 0.943550i | \(0.607464\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −36.4399 | + | 26.4752i | −1.53304 | + | 1.11382i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.2711 | − | 31.6111i | 0.431345 | − | 1.32754i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.2091 | + | 15.4093i | 0.889133 | + | 0.645993i | 0.935652 | − | 0.352924i | \(-0.114813\pi\) |
−0.0465186 | + | 0.998917i | \(0.514813\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −35.1634 | −1.47154 | −0.735771 | − | 0.677230i | \(-0.763180\pi\) | ||||
−0.735771 | + | 0.677230i | \(0.763180\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.25416 | −0.0523932 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 45.8037 | + | 33.2783i | 1.91014 | + | 1.38780i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.468294 | − | 1.44126i | 0.0194953 | − | 0.0600004i | −0.940836 | − | 0.338863i | \(-0.889958\pi\) |
0.960331 | + | 0.278863i | \(0.0899575\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.34869 | − | 1.70642i | 0.0976082 | − | 0.0709165i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.68414 | + | 11.3386i | 0.152844 | + | 0.470405i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.76682 | + | 31.7151i | 0.114590 | + | 1.31351i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.98595 | + | 12.2675i | 0.164799 | + | 0.507198i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 4.68673 | − | 3.40511i | 0.193442 | − | 0.140544i | −0.486849 | − | 0.873486i | \(-0.661854\pi\) |
0.680290 | + | 0.732943i | \(0.261854\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.71996 | − | 5.29350i | 0.0708699 | − | 0.218115i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.53007 | − | 1.83821i | −0.104073 | − | 0.0756137i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 10.2331 | 0.420224 | 0.210112 | − | 0.977677i | \(-0.432617\pi\) | ||||
0.210112 | + | 0.977677i | \(0.432617\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 27.5819 | 1.13075 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.754521 | − | 0.548192i | −0.0308805 | − | 0.0224360i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.36804 | − | 25.7542i | 0.341909 | − | 1.05229i | −0.621309 | − | 0.783566i | \(-0.713399\pi\) |
0.963218 | − | 0.268722i | \(-0.0866012\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.3261 | + | 10.4085i | −0.584374 | + | 0.424572i | −0.840298 | − | 0.542124i | \(-0.817620\pi\) |
0.255924 | + | 0.966697i | \(0.417620\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.63759 | − | 8.11766i | −0.107411 | − | 0.330577i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 33.4109 | − | 34.5638i | 1.35835 | − | 1.40522i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.03558 | − | 24.7310i | −0.326154 | − | 1.00380i | −0.970917 | − | 0.239417i | \(-0.923044\pi\) |
0.644763 | − | 0.764383i | \(-0.276956\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.96160 | + | 2.87827i | −0.160532 | + | 0.116633i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.07197 | + | 9.45455i | −0.124279 | + | 0.382490i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.9294 | − | 10.8468i | −0.602992 | − | 0.438099i | 0.243948 | − | 0.969788i | \(-0.421557\pi\) |
−0.846939 | + | 0.531689i | \(0.821557\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.37152 | 0.216600 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.7587 | 0.795454 | 0.397727 | − | 0.917504i | \(-0.369799\pi\) | ||||
0.397727 | + | 0.917504i | \(0.369799\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.4843 | − | 15.6093i | −0.863527 | − | 0.627389i | 0.0653152 | − | 0.997865i | \(-0.479195\pi\) |
−0.928842 | + | 0.370476i | \(0.879195\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.62600 | + | 5.00431i | −0.0652490 | + | 0.200816i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −51.2941 | + | 37.2673i | −2.05505 | + | 1.49308i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 31.9155 | + | 98.2257i | 1.27662 | + | 3.92903i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.309152 | − | 3.54372i | −0.0123464 | − | 0.141522i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.55672 | − | 4.79109i | −0.0620705 | − | 0.191033i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.39803 | − | 1.01573i | 0.0556547 | − | 0.0404355i | −0.559610 | − | 0.828756i | \(-0.689049\pi\) |
0.615265 | + | 0.788321i | \(0.289049\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.587752 | − | 1.80892i | 0.0233611 | − | 0.0718979i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 70.0758 | + | 50.9131i | 2.78087 | + | 2.02042i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.05571 | −0.319179 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −37.9120 | −1.49977 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −22.8151 | − | 16.5762i | −0.901144 | − | 0.654719i | 0.0376157 | − | 0.999292i | \(-0.488024\pi\) |
−0.938760 | + | 0.344573i | \(0.888024\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.96651 | + | 24.5184i | −0.314168 | + | 0.966911i | 0.661927 | + | 0.749568i | \(0.269739\pi\) |
−0.976095 | + | 0.217342i | \(0.930261\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.93105 | − | 1.40299i | 0.0760350 | − | 0.0552427i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.43222 | − | 4.40791i | −0.0563063 | − | 0.173293i | 0.918948 | − | 0.394378i | \(-0.129040\pi\) |
−0.975254 | + | 0.221085i | \(0.929040\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.7881 | − | 12.6356i | 1.16928 | − | 0.495991i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.301616 | − | 0.928278i | −0.0118213 | − | 0.0363821i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.880712 | − | 0.639875i | 0.0344649 | − | 0.0250402i | −0.570419 | − | 0.821354i | \(-0.693219\pi\) |
0.604884 | + | 0.796313i | \(0.293219\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.0808 | + | 31.0257i | −0.393891 | + | 1.21227i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.8167 | − | 7.85878i | −0.421999 | − | 0.306600i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −31.1662 | −1.21406 | −0.607031 | − | 0.794678i | \(-0.707640\pi\) | ||||
−0.607031 | + | 0.794678i | \(0.707640\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 38.8239 | 1.51007 | 0.755037 | − | 0.655683i | \(-0.227619\pi\) | ||||
0.755037 | + | 0.655683i | \(0.227619\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.289718 | − | 0.210492i | −0.0112517 | − | 0.00817484i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 25.5269 | − | 78.5636i | 0.989890 | − | 3.04657i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.6224 | + | 13.5300i | −0.721063 | + | 0.523883i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.888787 | + | 2.73541i | 0.0343625 | + | 0.105757i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.65128 | + | 12.7267i | −0.295374 | + | 0.491310i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.99761 | − | 9.22568i | −0.115549 | − | 0.355624i | 0.876512 | − | 0.481380i | \(-0.159864\pi\) |
−0.992061 | + | 0.125756i | \(0.959864\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −14.9456 | + | 10.8586i | −0.575255 | + | 0.417948i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −8.26447 | + | 25.4354i | −0.317629 | + | 0.977562i | 0.657029 | + | 0.753865i | \(0.271813\pi\) |
−0.974659 | + | 0.223697i | \(0.928187\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.6576 | − | 9.92285i | −0.524132 | − | 0.380804i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.28881 | 0.0493872 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −11.4814 | −0.439324 | −0.219662 | − | 0.975576i | \(-0.570495\pi\) | ||||
−0.219662 | + | 0.975576i | \(0.570495\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 21.6316 | + | 15.7163i | 0.826502 | + | 0.600489i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.874879 | − | 2.69260i | 0.0333787 | − | 0.102729i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.76559 | − | 5.64203i | 0.295845 | − | 0.214944i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.96760 | + | 30.6771i | 0.379185 | + | 1.16701i | 0.940611 | + | 0.339486i | \(0.110253\pi\) |
−0.561426 | + | 0.827527i | \(0.689747\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 24.9123 | + | 28.6726i | 0.946339 | + | 1.08918i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −26.5071 | − | 81.5804i | −1.00547 | − | 3.09452i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.34643 | − | 5.33749i | 0.278266 | − | 0.202172i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.88604 | + | 5.80465i | −0.0713367 | + | 0.219552i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.6700 | + | 9.93181i | 0.516307 | + | 0.375119i | 0.815211 | − | 0.579164i | \(-0.196621\pi\) |
−0.298904 | + | 0.954283i | \(0.596621\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.0876 | −0.569040 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.56496 | −0.360237 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −61.2499 | − | 44.5007i | −2.30354 | − | 1.67362i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.5136 | − | 38.5130i | 0.469959 | − | 1.44638i | −0.382679 | − | 0.923881i | \(-0.624998\pi\) |
0.852638 | − | 0.522503i | \(-0.175002\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 16.5693 | − | 12.0383i | 0.621396 | − | 0.451471i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.41781 | − | 4.36359i | −0.0530976 | − | 0.163418i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.1220 | − | 3.26401i | −0.528135 | − | 0.122067i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.127622 | − | 0.392780i | −0.00476613 | − | 0.0146687i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.00851 | − | 2.18581i | 0.112198 | − | 0.0815170i | −0.530271 | − | 0.847828i | \(-0.677910\pi\) |
0.642470 | + | 0.766311i | \(0.277910\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.29044 | − | 13.2046i | 0.159784 | − | 0.491766i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.08507 | − | 2.24143i | −0.114735 | − | 0.0833598i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −80.8157 | −3.00142 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.51503 | 0.241629 | 0.120814 | − | 0.992675i | \(-0.461449\pi\) | ||||
0.120814 | + | 0.992675i | \(0.461449\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19.7543 | + | 14.3523i | 0.731640 | + | 0.531567i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.24692 | − | 3.83764i | 0.0461192 | − | 0.141940i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.1364 | + | 12.4503i | −0.632946 | + | 0.459862i | −0.857419 | − | 0.514618i | \(-0.827934\pi\) |
0.224474 | + | 0.974480i | \(0.427934\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.39516 | − | 7.37155i | −0.0883468 | − | 0.271904i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.34486 | + | 2.15986i | 0.344223 | + | 0.0795596i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.07916 | − | 3.32131i | −0.0396975 | − | 0.122176i | 0.929244 | − | 0.369467i | \(-0.120460\pi\) |
−0.968941 | + | 0.247291i | \(0.920460\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.867694 | + | 0.630417i | −0.0318755 | + | 0.0231589i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.53661 | + | 4.72921i | −0.0563729 | + | 0.173498i | −0.975278 | − | 0.220980i | \(-0.929075\pi\) |
0.918905 | + | 0.394478i | \(0.129075\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −39.8814 | − | 28.9755i | −1.46114 | − | 1.06158i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −9.06881 | −0.331810 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −42.9236 | −1.56839 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.5266 | + | 25.8116i | 1.29638 | + | 0.941878i | 0.999913 | − | 0.0131643i | \(-0.00419043\pi\) |
0.296470 | + | 0.955042i | \(0.404190\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.66653 | − | 5.12904i | 0.0607316 | − | 0.186913i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 34.5230 | − | 25.0825i | 1.25642 | − | 0.912844i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.96015 | + | 18.3435i | 0.216625 | + | 0.666704i | 0.999034 | + | 0.0439393i | \(0.0139908\pi\) |
−0.782409 | + | 0.622765i | \(0.786009\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.92320 | − | 2.21350i | −0.0698078 | − | 0.0803448i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.79630 | − | 20.9169i | −0.246366 | − | 0.758236i | −0.995409 | − | 0.0957147i | \(-0.969486\pi\) |
0.749043 | − | 0.662521i | \(-0.230514\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.34521 | + | 3.88352i | −0.193509 | + | 0.140593i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −6.48339 | + | 19.9538i | −0.234407 | + | 0.721432i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7.89282 | − | 5.73447i | −0.284993 | − | 0.207060i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 25.9359 | 0.935273 | 0.467637 | − | 0.883921i | \(-0.345106\pi\) | ||||
0.467637 | + | 0.883921i | \(0.345106\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.82253 | 0.209693 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.9747 | + | 9.42668i | 0.466668 | + | 0.339054i | 0.796141 | − | 0.605111i | \(-0.206871\pi\) |
−0.329473 | + | 0.944165i | \(0.606871\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.97779 | − | 15.3201i | 0.178808 | − | 0.550313i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.14049 | + | 1.55515i | −0.0767895 | + | 0.0557908i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.40413 | − | 25.8653i | −0.301109 | − | 0.926719i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 21.9505 | − | 36.5113i | 0.785450 | − | 1.30648i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.32099 | − | 7.14327i | −0.0829454 | − | 0.255280i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 28.4353 | − | 20.6595i | 1.01490 | − | 0.737368i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.41924 | + | 22.8341i | −0.264467 | + | 0.813947i | 0.727348 | + | 0.686268i | \(0.240752\pi\) |
−0.991816 | + | 0.127678i | \(0.959248\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.76619 | − | 2.00975i | −0.0984789 | − | 0.0715491i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 39.9916 | 1.42194 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.47733 | 0.158995 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 7.47176 | + | 5.42855i | 0.264996 | + | 0.192531i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −16.5136 | + | 50.8238i | −0.584943 | + | 1.80027i | 0.0145539 | + | 0.999894i | \(0.495367\pi\) |
−0.599497 | + | 0.800377i | \(0.704633\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.0817 | + | 9.50438i | −0.462796 | + | 0.336241i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −14.9035 | − | 45.8683i | −0.526589 | − | 1.62068i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 13.8311 | − | 5.86693i | 0.488090 | − | 0.207040i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −21.0425 | − | 64.7622i | −0.741651 | − | 2.28257i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.39865 | + | 1.74272i | −0.0844365 | + | 0.0613467i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0.983037 | − | 3.02548i | 0.0345617 | − | 0.106370i | −0.932287 | − | 0.361718i | \(-0.882190\pi\) |
0.966849 | + | 0.255348i | \(0.0821902\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.7607 | + | 12.9039i | 0.623662 | + | 0.453117i | 0.854199 | − | 0.519947i | \(-0.174048\pi\) |
−0.230537 | + | 0.973064i | \(0.574048\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.457532 | 0.0160464 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 38.8217 | 1.35986 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.77704 | − | 7.10343i | −0.342055 | − | 0.248518i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 3.53899 | − | 10.8919i | 0.123662 | − | 0.380594i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −31.7897 | + | 23.0966i | −1.10947 | + | 0.806075i | −0.982580 | − | 0.185842i | \(-0.940499\pi\) |
−0.126888 | + | 0.991917i | \(0.540499\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.87643 | + | 5.77507i | 0.0654084 | + | 0.201306i | 0.978419 | − | 0.206628i | \(-0.0662491\pi\) |
−0.913011 | + | 0.407935i | \(0.866249\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.894726 | − | 10.2560i | −0.0311504 | − | 0.357067i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 5.52731 | + | 17.0113i | 0.192203 | + | 0.591541i | 0.999998 | + | 0.00207680i | \(0.000661067\pi\) |
−0.807795 | + | 0.589464i | \(0.799339\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.6924 | − | 13.5808i | 0.649213 | − | 0.471681i | −0.213790 | − | 0.976880i | \(-0.568581\pi\) |
0.863003 | + | 0.505199i | \(0.168581\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.0717374 | + | 0.220785i | −0.00248854 | + | 0.00765894i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −10.6006 | − | 7.70181i | −0.367290 | − | 0.266852i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −42.2628 | −1.46256 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.49710 | 0.0517472 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 27.5690 | + | 20.0300i | 0.951786 | + | 0.691513i | 0.951229 | − | 0.308487i | \(-0.0998226\pi\) |
0.000557326 | 1.00000i | \(0.499823\pi\) | ||||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.19197 | − | 3.66850i | 0.0411024 | − | 0.126500i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.364084 | − | 0.264522i | 0.0125397 | − | 0.00911063i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.35047 | + | 4.15632i | 0.0464575 | + | 0.142982i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −42.0371 | + | 7.39085i | −1.44441 | + | 0.253952i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.45753 | − | 4.48580i | −0.0500222 | − | 0.153952i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.0619 | + | 7.31036i | −0.344916 | + | 0.250596i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.44016 | − | 7.51003i | 0.0835494 | − | 0.257139i | −0.900551 | − | 0.434750i | \(-0.856837\pi\) |
0.984101 | + | 0.177611i | \(0.0568369\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 50.8357 | + | 36.9343i | 1.73855 | + | 1.26313i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −19.5220 | −0.666857 | −0.333429 | − | 0.942775i | \(-0.608206\pi\) | ||||
−0.333429 | + | 0.942775i | \(0.608206\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.6967 | 0.979120 | 0.489560 | − | 0.871970i | \(-0.337157\pi\) | ||||
0.489560 | + | 0.871970i | \(0.337157\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.85836 | − | 2.80326i | −0.131493 | − | 0.0955350i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 3.79716 | − | 11.6865i | 0.129257 | − | 0.397812i | −0.865396 | − | 0.501089i | \(-0.832933\pi\) |
0.994653 | + | 0.103277i | \(0.0329329\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −43.3096 | + | 31.4663i | −1.47257 | + | 1.06989i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.976587 | + | 3.00562i | 0.0331666 | + | 0.102076i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.00015 | + | 22.9271i | 0.0678504 | + | 0.777748i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.893634 | − | 2.75032i | −0.0302796 | − | 0.0931912i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.3889 | − | 7.54801i | 0.351613 | − | 0.255462i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 47.6778 | − | 146.737i | 1.61180 | − | 4.96062i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.3017 | + | 15.4766i | 0.719307 | + | 0.522607i | 0.886163 | − | 0.463374i | \(-0.153361\pi\) |
−0.166855 | + | 0.985981i | \(0.553361\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 4.83531 | 0.163091 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 28.7853 | 0.969801 | 0.484900 | − | 0.874569i | \(-0.338856\pi\) | ||||
0.484900 | + | 0.874569i | \(0.338856\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.42190 | + | 4.66579i | 0.216114 | + | 0.157016i | 0.690576 | − | 0.723260i | \(-0.257357\pi\) |
−0.474462 | + | 0.880276i | \(0.657357\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.90072 | − | 8.92749i | 0.0975066 | − | 0.300094i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.0127 | − | 14.5401i | 0.671960 | − | 0.488207i | −0.198721 | − | 0.980056i | \(-0.563679\pi\) |
0.870681 | + | 0.491849i | \(0.163679\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −23.7652 | − | 73.1417i | −0.797059 | − | 2.45310i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −26.1548 | + | 11.0944i | −0.876218 | + | 0.371677i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.9651 | + | 46.0578i | 0.500788 | + | 1.54127i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.69022 | + | 4.13419i | −0.190203 | + | 0.138191i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.273207 | + | 0.840844i | −0.00912211 | + | 0.0280750i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 5.29844 | + | 3.84954i | 0.176713 | + | 0.128389i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 15.6130 | 0.520146 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.11926 | −0.0705246 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −32.7558 | − | 23.7985i | −1.08884 | − | 0.791088i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.18922 | + | 15.9708i | −0.172305 | + | 0.530301i | −0.999500 | − | 0.0316143i | \(-0.989935\pi\) |
0.827195 | + | 0.561915i | \(0.189935\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 46.5910 | − | 33.8503i | 1.54533 | − | 1.12274i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.656686 | + | 2.02107i | 0.0217570 | + | 0.0669611i | 0.961346 | − | 0.275345i | \(-0.0887921\pi\) |
−0.939589 | + | 0.342306i | \(0.888792\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.25071 | − | 8.73375i | 0.173773 | − | 0.289045i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.33122 | + | 4.09708i | 0.0440089 | + | 0.135445i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 23.4326 | − | 17.0248i | 0.773813 | − | 0.562208i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.9329 | − | 49.0364i | 0.525578 | − | 1.61756i | −0.237592 | − | 0.971365i | \(-0.576358\pi\) |
0.763170 | − | 0.646198i | \(-0.223642\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.01999 | + | 2.19415i | 0.0995121 | + | 0.0722998i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −12.8449 | −0.422794 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −43.6654 | −1.43571 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.54424 | + | 6.20775i | 0.280630 | + | 0.203889i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.16274 | + | 3.57855i | −0.0381483 | + | 0.117409i | −0.968317 | − | 0.249723i | \(-0.919660\pi\) |
0.930169 | + | 0.367132i | \(0.119660\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −31.7485 | + | 23.0667i | −1.04052 | + | 0.755979i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.18254 | + | 3.63949i | 0.0387147 | + | 0.119152i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −15.4628 | − | 17.7968i | −0.505688 | − | 0.582018i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.68970 | − | 20.5888i | −0.218543 | − | 0.672606i | −0.998883 | − | 0.0472506i | \(-0.984954\pi\) |
0.780340 | − | 0.625355i | \(-0.215046\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.67468 | − | 1.94327i | 0.0872847 | − | 0.0634161i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.14575 | + | 28.1477i | −0.298143 | + | 0.917590i | 0.684004 | + | 0.729478i | \(0.260237\pi\) |
−0.982148 | + | 0.188112i | \(0.939763\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.1371 | − | 13.1774i | −0.590626 | − | 0.429115i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 22.2192 | 0.722790 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −39.4193 | −1.28095 | −0.640477 | − | 0.767977i | \(-0.721263\pi\) | ||||
−0.640477 | + | 0.767977i | \(0.721263\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.66478 | − | 2.66262i | −0.118964 | − | 0.0864321i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.484922 | − | 1.49244i | 0.0157247 | − | 0.0483956i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −28.5986 | + | 20.7781i | −0.926399 | + | 0.673068i | −0.945108 | − | 0.326757i | \(-0.894044\pi\) |
0.0187095 | + | 0.999825i | \(0.494044\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.69291 | + | 23.6763i | 0.248937 | + | 0.766148i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.07810 | + | 0.942565i | 0.131826 | + | 0.0304688i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −7.33605 | − | 22.5780i | −0.236893 | − | 0.729083i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.0234 | − | 17.4540i | 0.774949 | − | 0.563033i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 10.0896 | − | 31.0526i | 0.325133 | − | 1.00066i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −46.6210 | − | 33.8721i | −1.50078 | − | 1.09038i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.8195 | −0.991089 | −0.495545 | − | 0.868583i | \(-0.665031\pi\) | ||||
−0.495545 | + | 0.868583i | \(0.665031\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.74453 | −0.0560425 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −24.0997 | − | 17.5095i | −0.773397 | − | 0.561905i | 0.129593 | − | 0.991567i | \(-0.458633\pi\) |
−0.902990 | + | 0.429662i | \(0.858633\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −23.5348 | + | 72.4326i | −0.754490 | + | 2.32208i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.51122 | + | 1.82451i | −0.0804233 | + | 0.0584309i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.1623 | − | 31.2763i | −0.325121 | − | 1.00062i | −0.971386 | − | 0.237506i | \(-0.923670\pi\) |
0.646265 | − | 0.763113i | \(-0.276330\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 52.8025 | + | 12.2042i | 1.68758 | + | 0.390047i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.55305 | − | 4.77980i | −0.0495851 | − | 0.152607i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13.3250 | + | 9.68119i | −0.425002 | + | 0.308782i | −0.779647 | − | 0.626219i | \(-0.784602\pi\) |
0.354645 | + | 0.935001i | \(0.384602\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.1829 | + | 59.0388i | −0.611217 | + | 1.88113i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.87051 | + | 4.99172i | 0.218691 | + | 0.158888i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −9.96207 | −0.316776 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −45.4810 | −1.44475 | −0.722375 | − | 0.691501i | \(-0.756950\pi\) | ||||
−0.722375 | + | 0.691501i | \(0.756950\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.95455 | + | 3.59969i | 0.157228 | + | 0.114233i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.72074 | + | 17.6066i | −0.181360 | + | 0.558167i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.62436 | + | 3.35979i | −0.146455 | + | 0.106406i | −0.658600 | − | 0.752493i | \(-0.728851\pi\) |
0.512145 | + | 0.858899i | \(0.328851\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.25405 | − | 3.85957i | −0.0396764 | − | 0.122111i |
(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 | 572.2.n.b.313.5 | yes | 28 | |
11.3 | even | 5 | 6292.2.a.z.1.6 | 14 | |||
11.8 | odd | 10 | 6292.2.a.y.1.6 | 14 | |||
11.9 | even | 5 | inner | 572.2.n.b.53.5 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.n.b.53.5 | ✓ | 28 | 11.9 | even | 5 | inner | |
572.2.n.b.313.5 | yes | 28 | 1.1 | even | 1 | trivial | |
6292.2.a.y.1.6 | 14 | 11.8 | odd | 10 | |||
6292.2.a.z.1.6 | 14 | 11.3 | even | 5 |