Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,3,Mod(41,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.41");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.t (of order \(16\), degree \(8\), 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: | \(3.70573159530\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Character | \(\chi\) | \(=\) | 136.65 |
Dual form | 136.3.t.a.113.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{16}\right)\) |
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 | ||||||||
\(3\) | −0.912174 | + | 4.58581i | −0.304058 | + | 1.52860i | 0.462612 | + | 0.886561i | \(0.346912\pi\) |
−0.766670 | + | 0.642042i | \(0.778088\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 7.13034 | − | 4.76434i | 1.42607 | − | 0.952869i | 0.427257 | − | 0.904130i | \(-0.359480\pi\) |
0.998812 | − | 0.0487385i | \(-0.0155201\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 7.38570 | + | 4.93497i | 1.05510 | + | 0.704996i | 0.956973 | − | 0.290178i | \(-0.0937145\pi\) |
0.0981280 | + | 0.995174i | \(0.468715\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −11.8827 | − | 4.92196i | −1.32030 | − | 0.546884i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −10.3779 | + | 2.06429i | −0.943445 | + | 0.187663i | −0.642766 | − | 0.766063i | \(-0.722213\pi\) |
−0.300679 | + | 0.953725i | \(0.597213\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 7.09039 | + | 7.09039i | 0.545414 | + | 0.545414i | 0.925111 | − | 0.379697i | \(-0.123972\pi\) |
−0.379697 | + | 0.925111i | \(0.623972\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 15.3442 | + | 37.0443i | 1.02295 | + | 2.46962i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −9.06777 | + | 14.3797i | −0.533398 | + | 0.845864i | ||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.265133 | − | 0.109822i | 0.0139544 | − | 0.00578009i | −0.375695 | − | 0.926743i | \(-0.622596\pi\) |
0.389650 | + | 0.920963i | \(0.372596\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −29.3679 | + | 29.3679i | −1.39847 | + | 1.39847i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.43010 | − | 37.3536i | −0.323048 | − | 1.62407i | −0.711558 | − | 0.702627i | \(-0.752010\pi\) |
0.388511 | − | 0.921444i | \(-0.372990\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 18.5757 | − | 44.8458i | 0.743030 | − | 1.79383i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 10.0313 | − | 15.0130i | 0.371531 | − | 0.556035i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 11.2269 | + | 16.8022i | 0.387133 | + | 0.579385i | 0.972938 | − | 0.231067i | \(-0.0742216\pi\) |
−0.585805 | + | 0.810452i | \(0.699222\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 13.1773 | + | 2.62114i | 0.425076 | + | 0.0845528i | 0.402992 | − | 0.915203i | \(-0.367970\pi\) |
0.0220832 | + | 0.999756i | \(0.492970\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | − | 49.4740i | − | 1.49921i | ||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 76.1745 | 2.17641 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.07571 | − | 40.5993i | 0.218262 | − | 1.09728i | −0.703847 | − | 0.710351i | \(-0.748536\pi\) |
0.922110 | − | 0.386928i | \(-0.126464\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −38.9828 | + | 26.0475i | −0.999559 | + | 0.667884i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −41.2112 | − | 27.5364i | −1.00515 | − | 0.671621i | −0.0599814 | − | 0.998199i | \(-0.519104\pi\) |
−0.945170 | + | 0.326579i | \(0.894104\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 33.4063 | + | 13.8374i | 0.776892 | + | 0.321799i | 0.735660 | − | 0.677351i | \(-0.236872\pi\) |
0.0412313 | + | 0.999150i | \(0.486872\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −108.177 | + | 21.5178i | −2.40394 | + | 0.478173i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −28.3642 | − | 28.3642i | −0.603495 | − | 0.603495i | 0.337744 | − | 0.941238i | \(-0.390336\pi\) |
−0.941238 | + | 0.337744i | \(0.890336\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 11.4432 | + | 27.6264i | 0.233535 | + | 0.563803i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −57.6711 | − | 54.6998i | −1.13081 | − | 1.07255i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 77.8996 | − | 32.2671i | 1.46980 | − | 0.608812i | 0.502989 | − | 0.864293i | \(-0.332234\pi\) |
0.966814 | + | 0.255480i | \(0.0822336\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −64.1630 | + | 64.1630i | −1.16660 | + | 1.16660i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.261774 | + | 1.31602i | 0.00459252 | + | 0.0230882i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −27.7385 | + | 66.9668i | −0.470145 | + | 1.13503i | 0.493954 | + | 0.869488i | \(0.335551\pi\) |
−0.964099 | + | 0.265542i | \(0.914449\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −26.1745 | + | 39.1729i | −0.429090 | + | 0.642179i | −0.981515 | − | 0.191384i | \(-0.938702\pi\) |
0.552425 | + | 0.833562i | \(0.313702\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −63.4721 | − | 94.9927i | −1.00749 | − | 1.50782i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 84.3379 | + | 16.7759i | 1.29751 | + | 0.258090i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 46.9366i | − | 0.700547i | −0.936648 | − | 0.350273i | \(-0.886089\pi\) | ||
0.936648 | − | 0.350273i | \(-0.113911\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 178.074 | 2.58078 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 24.0034 | − | 120.673i | 0.338076 | − | 1.69962i | −0.320617 | − | 0.947209i | \(-0.603890\pi\) |
0.658693 | − | 0.752412i | \(-0.271110\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −31.3109 | + | 20.9213i | −0.428917 | + | 0.286593i | −0.751231 | − | 0.660040i | \(-0.770539\pi\) |
0.322314 | + | 0.946633i | \(0.395539\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 188.710 | + | 126.092i | 2.51613 | + | 1.68123i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −86.8353 | − | 35.9683i | −1.12773 | − | 0.467121i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −44.2960 | + | 8.81103i | −0.560709 | + | 0.111532i | −0.467305 | − | 0.884096i | \(-0.654775\pi\) |
−0.0934045 | + | 0.995628i | \(0.529775\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −22.1551 | − | 22.1551i | −0.273520 | − | 0.273520i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −16.6189 | − | 40.1215i | −0.200227 | − | 0.483392i | 0.791591 | − | 0.611052i | \(-0.209253\pi\) |
−0.991818 | + | 0.127660i | \(0.959253\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.85346 | + | 145.734i | 0.0453348 | + | 1.71452i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −87.2924 | + | 36.1577i | −1.00336 | + | 0.415605i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 74.9321 | − | 74.9321i | 0.841933 | − | 0.841933i | −0.147177 | − | 0.989110i | \(-0.547019\pi\) |
0.989110 | + | 0.147177i | \(0.0470187\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 17.3767 | + | 87.3583i | 0.190952 | + | 0.959982i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −24.0401 | + | 58.0378i | −0.258495 | + | 0.624063i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.36726 | − | 2.04625i | 0.0143922 | − | 0.0215395i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 78.3135 | + | 117.204i | 0.807356 | + | 1.20829i | 0.974947 | + | 0.222437i | \(0.0714010\pi\) |
−0.167592 | + | 0.985857i | \(0.553599\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 133.477 | + | 26.5503i | 1.34826 | + | 0.268185i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 140.520i | − | 1.39129i | −0.718386 | − | 0.695645i | \(-0.755119\pi\) | ||
0.718386 | − | 0.695645i | \(-0.244881\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −101.755 | −0.987912 | −0.493956 | − | 0.869487i | \(-0.664450\pi\) | ||||
−0.493956 | + | 0.869487i | \(0.664450\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −69.4844 | + | 349.322i | −0.661756 | + | 3.32687i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.94287 | + | 4.63908i | −0.0648867 | + | 0.0433559i | −0.587590 | − | 0.809158i | \(-0.699923\pi\) |
0.522704 | + | 0.852514i | \(0.324923\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 69.1148 | + | 46.1810i | 0.634081 | + | 0.423679i | 0.830638 | − | 0.556813i | \(-0.187976\pi\) |
−0.196557 | + | 0.980492i | \(0.562976\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 178.814 | + | 74.0673i | 1.61094 | + | 0.667273i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −89.7284 | + | 17.8481i | −0.794057 | + | 0.157948i | −0.575420 | − | 0.817858i | \(-0.695161\pi\) |
−0.218637 | + | 0.975806i | \(0.570161\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −230.945 | − | 230.945i | −2.00821 | − | 2.00821i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −49.3540 | − | 119.151i | −0.421829 | − | 1.01839i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −137.935 | + | 61.4550i | −1.15912 | + | 0.516428i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.35004 | + | 3.45870i | −0.0690086 | + | 0.0285843i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 163.869 | − | 163.869i | 1.33227 | − | 1.33227i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −39.3841 | − | 197.997i | −0.315072 | − | 1.58398i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.44386 | + | 10.7284i | −0.0349911 | + | 0.0844759i | −0.940409 | − | 0.340045i | \(-0.889558\pi\) |
0.905418 | + | 0.424521i | \(0.139558\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −93.9279 | + | 140.573i | −0.728123 | + | 1.08971i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 70.3003 | + | 105.212i | 0.536644 | + | 0.803144i | 0.996389 | − | 0.0849068i | \(-0.0270592\pi\) |
−0.459745 | + | 0.888051i | \(0.652059\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.50016 | + | 0.497313i | 0.0187982 | + | 0.00373919i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 154.840i | − | 1.14696i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −92.3943 | −0.674411 | −0.337206 | − | 0.941431i | \(-0.609482\pi\) | ||||
−0.337206 | + | 0.941431i | \(0.609482\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.130138 | + | 0.654249i | −0.000936246 | + | 0.00470683i | −0.981251 | − | 0.192736i | \(-0.938264\pi\) |
0.980314 | + | 0.197443i | \(0.0632638\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 155.946 | − | 104.200i | 1.10600 | − | 0.739006i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −88.2199 | − | 58.9467i | −0.616922 | − | 0.412214i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 160.103 | + | 66.3167i | 1.10416 | + | 0.457356i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −137.127 | + | 27.2763i | −0.932840 | + | 0.185553i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 44.4637 | + | 44.4637i | 0.298414 | + | 0.298414i | 0.840392 | − | 0.541978i | \(-0.182325\pi\) |
−0.541978 | + | 0.840392i | \(0.682325\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.76538 | + | 6.67621i | 0.0183137 | + | 0.0442133i | 0.932772 | − | 0.360467i | \(-0.117383\pi\) |
−0.914458 | + | 0.404681i | \(0.867383\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 178.525 | − | 126.238i | 1.16683 | − | 0.825083i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 106.447 | − | 44.0918i | 0.686755 | − | 0.284463i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −52.5857 | + | 52.5857i | −0.334941 | + | 0.334941i | −0.854459 | − | 0.519518i | \(-0.826111\pi\) |
0.519518 | + | 0.854459i | \(0.326111\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 76.9126 | + | 386.666i | 0.483727 | + | 2.43186i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 129.463 | − | 312.550i | 0.804115 | − | 1.94131i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.7682 | + | 28.0886i | −0.115142 | + | 0.172322i | −0.884564 | − | 0.466418i | \(-0.845544\pi\) |
0.769422 | + | 0.638740i | \(0.220544\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −235.711 | − | 352.767i | −1.42855 | − | 2.13798i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −92.6964 | − | 18.4385i | −0.555068 | − | 0.110410i | −0.0904173 | − | 0.995904i | \(-0.528820\pi\) |
−0.464651 | + | 0.885494i | \(0.653820\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 68.4528i | − | 0.405046i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.69102 | −0.0215849 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −44.0902 | + | 221.657i | −0.254857 | + | 1.28125i | 0.615228 | + | 0.788349i | \(0.289064\pi\) |
−0.870085 | + | 0.492902i | \(0.835936\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 358.508 | − | 239.547i | 2.04862 | − | 1.36884i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −281.794 | − | 188.289i | −1.59206 | − | 1.06378i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 91.7076 | + | 37.9865i | 0.512333 | + | 0.212215i | 0.623845 | − | 0.781548i | \(-0.285569\pi\) |
−0.111512 | + | 0.993763i | \(0.535569\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −83.0467 | + | 16.5190i | −0.458822 | + | 0.0912653i | −0.419089 | − | 0.907945i | \(-0.637651\pi\) |
−0.0397325 | + | 0.999210i | \(0.512651\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −155.764 | − | 155.764i | −0.851168 | − | 0.851168i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −135.847 | − | 327.963i | −0.734306 | − | 1.77277i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 64.4205 | − | 167.949i | 0.344495 | − | 0.898125i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 148.177 | − | 61.3769i | 0.784005 | − | 0.324745i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −203.313 | + | 203.313i | −1.06447 | + | 1.06447i | −0.0666915 | + | 0.997774i | \(0.521244\pi\) |
−0.997774 | + | 0.0666915i | \(0.978756\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.1117 | − | 96.0809i | −0.0990242 | − | 0.497829i | −0.998186 | − | 0.0602114i | \(-0.980823\pi\) |
0.899161 | − | 0.437617i | \(-0.144177\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −153.862 | + | 371.455i | −0.789034 | + | 1.90490i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −115.812 | + | 173.325i | −0.587879 | + | 0.879823i | −0.999503 | − | 0.0315311i | \(-0.989962\pi\) |
0.411624 | + | 0.911354i | \(0.364962\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 37.4762 | + | 56.0871i | 0.188323 | + | 0.281845i | 0.913602 | − | 0.406610i | \(-0.133289\pi\) |
−0.725279 | + | 0.688455i | \(0.758289\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 215.242 | + | 42.8144i | 1.07086 | + | 0.213007i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 179.500i | 0.884237i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −425.043 | −2.07338 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −95.5637 | + | 480.431i | −0.461660 | + | 2.32092i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.52482 | + | 1.68703i | −0.0120805 | + | 0.00807191i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 26.3783 | + | 17.6254i | 0.125016 | + | 0.0835328i | 0.616506 | − | 0.787350i | \(-0.288548\pi\) |
−0.491490 | + | 0.870883i | \(0.663548\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 531.488 | + | 220.150i | 2.49525 | + | 1.03357i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 304.125 | − | 60.4942i | 1.41453 | − | 0.281368i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 84.3887 | + | 84.3887i | 0.388888 | + | 0.388888i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −67.3801 | − | 162.670i | −0.307672 | − | 0.742785i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −166.252 | + | 37.6636i | −0.752270 | + | 0.170423i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 184.159 | − | 76.2809i | 0.825823 | − | 0.342067i | 0.0705751 | − | 0.997506i | \(-0.477517\pi\) |
0.755248 | + | 0.655439i | \(0.227517\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −441.458 | + | 441.458i | −1.96204 | + | 1.96204i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −30.2374 | − | 152.014i | −0.133205 | − | 0.669664i | −0.988463 | − | 0.151463i | \(-0.951602\pi\) |
0.855258 | − | 0.518202i | \(-0.173398\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −99.1387 | + | 239.342i | −0.432920 | + | 1.04516i | 0.545421 | + | 0.838162i | \(0.316370\pi\) |
−0.978341 | + | 0.206999i | \(0.933630\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 244.153 | − | 365.400i | 1.05694 | − | 1.58182i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 52.4419 | + | 78.4849i | 0.225073 | + | 0.336845i | 0.926769 | − | 0.375631i | \(-0.122574\pi\) |
−0.701697 | + | 0.712476i | \(0.747574\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −337.384 | − | 67.1098i | −1.43568 | − | 0.285574i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 211.170i | − | 0.891014i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 243.237 | 1.01773 | 0.508864 | − | 0.860847i | \(-0.330065\pi\) | ||||
0.508864 | + | 0.860847i | \(0.330065\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −57.1441 | + | 287.283i | −0.237113 | + | 1.19205i | 0.660351 | + | 0.750957i | \(0.270407\pi\) |
−0.897464 | + | 0.441088i | \(0.854593\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 256.925 | − | 171.672i | 1.05730 | − | 0.706468i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 213.216 | + | 142.466i | 0.870268 | + | 0.581494i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.65857 | + | 1.10122i | 0.0107635 | + | 0.00445837i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 199.149 | − | 39.6132i | 0.799794 | − | 0.159089i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 279.162 | + | 279.162i | 1.11220 | + | 1.11220i | 0.992853 | + | 0.119347i | \(0.0380802\pi\) |
0.119347 | + | 0.992853i | \(0.461920\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 154.218 | + | 372.314i | 0.609556 | + | 1.47160i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −671.824 | − | 115.264i | −2.63460 | − | 0.452014i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 203.234 | − | 84.1822i | 0.790793 | − | 0.327557i | 0.0495308 | − | 0.998773i | \(-0.484227\pi\) |
0.741262 | + | 0.671215i | \(0.234227\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 260.001 | − | 260.001i | 1.00387 | − | 1.00387i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −50.7052 | − | 254.912i | −0.194273 | − | 0.976676i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 100.491 | − | 242.606i | 0.382093 | − | 0.922455i | −0.609467 | − | 0.792811i | \(-0.708617\pi\) |
0.991561 | − | 0.129644i | \(-0.0413834\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 401.719 | − | 601.216i | 1.51592 | − | 2.26874i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 275.273 | + | 411.975i | 1.03098 | + | 1.54298i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 345.233 | + | 68.6712i | 1.28340 | + | 0.255283i | 0.789237 | − | 0.614089i | \(-0.210476\pi\) |
0.494158 | + | 0.869372i | \(0.335476\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 69.2042i | 0.255366i | 0.991815 | + | 0.127683i | \(0.0407540\pi\) | ||||
−0.991815 | + | 0.127683i | \(0.959246\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −416.459 | −1.52549 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −100.202 | + | 503.751i | −0.364372 | + | 1.83182i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −206.761 | + | 138.153i | −0.746430 | + | 0.498749i | −0.869673 | − | 0.493628i | \(-0.835671\pi\) |
0.123243 | + | 0.992377i | \(0.460671\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −143.681 | − | 96.0044i | −0.514985 | − | 0.344102i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −279.217 | − | 115.656i | −0.993656 | − | 0.411586i | −0.174189 | − | 0.984712i | \(-0.555730\pi\) |
−0.819467 | + | 0.573126i | \(0.805730\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −210.437 | + | 41.8584i | −0.743592 | + | 0.147910i | −0.552326 | − | 0.833628i | \(-0.686259\pi\) |
−0.191267 | + | 0.981538i | \(0.561259\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.13653 | + | 8.13653i | 0.0285492 | + | 0.0285492i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −168.482 | − | 406.752i | −0.587046 | − | 1.41725i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −124.551 | − | 260.784i | −0.430972 | − | 0.902365i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −608.912 | + | 252.220i | −2.09248 | + | 0.866735i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.68954 | + | 1.68954i | −0.00576636 | + | 0.00576636i | −0.709984 | − | 0.704218i | \(-0.751298\pi\) |
0.704218 | + | 0.709984i | \(0.251298\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 121.267 | + | 609.652i | 0.411076 | + | 2.06662i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −73.1130 | + | 176.510i | −0.246172 | + | 0.594311i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 212.169 | − | 317.534i | 0.709597 | − | 1.06199i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 178.442 | + | 267.058i | 0.592832 | + | 0.887236i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 644.399 | + | 128.179i | 2.12673 | + | 0.423033i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 404.021i | 1.32466i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.94383 | 0.00958901 | 0.00479451 | − | 0.999989i | \(-0.498474\pi\) | ||||
0.00479451 | + | 0.999989i | \(0.498474\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 92.8182 | − | 466.628i | 0.300382 | − | 1.51012i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −422.278 | + | 282.157i | −1.35781 | + | 0.907257i | −0.999651 | − | 0.0264056i | \(-0.991594\pi\) |
−0.358154 | + | 0.933662i | \(0.616594\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 309.366 | + | 206.712i | 0.988391 | + | 0.660422i | 0.940983 | − | 0.338454i | \(-0.109904\pi\) |
0.0474079 | + | 0.998876i | \(0.484904\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −905.155 | − | 374.928i | −2.87351 | − | 1.19025i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −141.716 | + | 28.1890i | −0.447053 | + | 0.0889243i | −0.413483 | − | 0.910512i | \(-0.635688\pi\) |
−0.0335701 | + | 0.999436i | \(0.510688\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −151.196 | − | 151.196i | −0.473968 | − | 0.473968i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.9408 | − | 36.0703i | −0.0465446 | − | 0.112369i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.824963 | + | 4.80837i | −0.00255407 | + | 0.0148866i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 449.683 | − | 186.265i | 1.38364 | − | 0.573123i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −274.822 | + | 274.822i | −0.840434 | + | 0.840434i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −69.5132 | − | 349.467i | −0.211286 | − | 1.06221i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.9649 | − | 72.3416i | 0.0905283 | − | 0.218555i | −0.872130 | − | 0.489274i | \(-0.837262\pi\) |
0.962658 | + | 0.270720i | \(0.0872617\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −295.789 | + | 442.680i | −0.888255 | + | 1.32937i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −223.622 | − | 334.674i | −0.667529 | − | 0.999028i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −477.505 | − | 94.9817i | −1.41693 | − | 0.281845i | −0.573553 | − | 0.819168i | \(-0.694435\pi\) |
−0.843376 | + | 0.537324i | \(0.819435\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 427.758i | − | 1.26182i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −142.164 | −0.416903 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 33.0945 | − | 166.377i | 0.0964855 | − | 0.485066i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1269.73 | − | 848.406i | 3.68038 | − | 2.45915i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −210.968 | − | 140.964i | −0.607976 | − | 0.406236i | 0.213121 | − | 0.977026i | \(-0.431637\pi\) |
−0.821096 | + | 0.570789i | \(0.806637\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 309.024 | + | 128.002i | 0.885456 | + | 0.366768i | 0.778610 | − | 0.627508i | \(-0.215925\pi\) |
0.106846 | + | 0.994276i | \(0.465925\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 177.574 | − | 35.3216i | 0.505908 | − | 0.100631i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 128.231 | + | 128.231i | 0.363260 | + | 0.363260i | 0.865012 | − | 0.501752i | \(-0.167311\pi\) |
−0.501752 | + | 0.865012i | \(0.667311\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −403.776 | − | 974.801i | −1.13740 | − | 2.74592i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −156.000 | − | 688.602i | −0.436974 | − | 1.92886i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 497.226 | − | 205.958i | 1.38503 | − | 0.573699i | 0.439210 | − | 0.898385i | \(-0.355259\pi\) |
0.945822 | + | 0.324686i | \(0.105259\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −255.207 | + | 255.207i | −0.706945 | + | 0.706945i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.24424 | − | 41.4466i | −0.0227114 | − | 0.114178i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −123.582 | + | 298.352i | −0.338580 | + | 0.817403i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 265.965 | − | 398.045i | 0.724701 | − | 1.08459i | −0.267932 | − | 0.963438i | \(-0.586340\pi\) |
0.992634 | − | 0.121155i | \(-0.0386597\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 354.165 | + | 530.046i | 0.959798 | + | 1.43644i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 734.580 | + | 146.117i | 1.98000 | + | 0.393847i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 93.1819i | − | 0.249817i | −0.992168 | − | 0.124909i | \(-0.960136\pi\) | ||
0.992168 | − | 0.124909i | \(-0.0398638\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 943.901 | 2.51707 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −39.5312 | + | 198.737i | −0.104857 | + | 0.527153i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −436.932 | + | 291.949i | −1.15286 | + | 0.770313i | −0.976818 | − | 0.214070i | \(-0.931328\pi\) |
−0.176037 | + | 0.984384i | \(0.556328\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −45.1450 | − | 30.1649i | −0.118491 | − | 0.0791730i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 166.702 | + | 69.0503i | 0.435253 | + | 0.180288i | 0.589542 | − | 0.807738i | \(-0.299308\pi\) |
−0.154288 | + | 0.988026i | \(0.549308\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −790.531 | + | 157.246i | −2.05333 | + | 0.408432i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −328.849 | − | 328.849i | −0.849739 | − | 0.849739i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.7102 | + | 25.8567i | 0.0275326 | + | 0.0664696i | 0.937048 | − | 0.349201i | \(-0.113547\pi\) |
−0.909515 | + | 0.415671i | \(0.863547\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 604.508 | + | 231.872i | 1.54606 | + | 0.593022i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −546.608 | + | 226.412i | −1.39086 | + | 0.576113i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −273.867 | + | 273.867i | −0.693335 | + | 0.693335i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −77.3968 | − | 389.100i | −0.194954 | − | 0.980101i | −0.947060 | − | 0.321058i | \(-0.895962\pi\) |
0.752105 | − | 0.659043i | \(-0.229038\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −4.56116 | + | 11.0116i | −0.0114315 | + | 0.0275980i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −321.659 | + | 481.397i | −0.802142 | + | 1.20049i | 0.174296 | + | 0.984693i | \(0.444235\pi\) |
−0.976438 | + | 0.215798i | \(0.930765\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 74.8476 | + | 112.017i | 0.185726 | + | 0.277959i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −263.528 | − | 52.4190i | −0.650687 | − | 0.129430i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 438.006i | 1.07618i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 683.623 | 1.67145 | 0.835725 | − | 0.549149i | \(-0.185048\pi\) | ||||
0.835725 | + | 0.549149i | \(0.185048\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 84.2797 | − | 423.703i | 0.205060 | − | 1.03091i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −535.348 | + | 357.708i | −1.29624 | + | 0.866121i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −309.651 | − | 206.902i | −0.746147 | − | 0.498559i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.88155 | − | 1.19358i | −0.00691019 | − | 0.00286230i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −409.937 | + | 81.5416i | −0.978370 | + | 0.194610i | −0.658277 | − | 0.752776i | \(-0.728714\pi\) |
−0.320094 | + | 0.947386i | \(0.603714\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −36.5361 | − | 36.5361i | −0.0867840 | − | 0.0867840i | 0.662382 | − | 0.749166i | \(-0.269546\pi\) |
−0.749166 | + | 0.662382i | \(0.769546\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 197.435 | + | 476.650i | 0.466749 | + | 1.12683i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 476.428 | + | 673.765i | 1.12101 | + | 1.58533i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −386.634 | + | 160.149i | −0.905466 | + | 0.375056i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 350.790 | − | 350.790i | 0.817692 | − | 0.817692i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.56652 | − | 22.9574i | −0.0105952 | − | 0.0532655i | 0.975126 | − | 0.221651i | \(-0.0711446\pi\) |
−0.985721 | + | 0.168386i | \(0.946145\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 135.415 | − | 326.920i | 0.312736 | − | 0.755012i | −0.686866 | − | 0.726785i | \(-0.741014\pi\) |
0.999602 | − | 0.0282270i | \(-0.00898613\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −450.157 | + | 673.707i | −1.03484 | + | 1.54875i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.07220 | − | 9.08769i | −0.0138952 | − | 0.0207956i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −224.617 | − | 44.6790i | −0.511655 | − | 0.101775i | −0.0674908 | − | 0.997720i | \(-0.521499\pi\) |
−0.444164 | + | 0.895945i | \(0.646499\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 384.598i | − | 0.872103i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −185.983 | −0.419827 | −0.209914 | − | 0.977720i | \(-0.567318\pi\) | ||||
−0.209914 | + | 0.977720i | \(0.567318\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 177.289 | − | 891.293i | 0.398403 | − | 2.00291i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −244.461 | + | 163.343i | −0.546892 | + | 0.365421i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −187.951 | − | 125.585i | −0.418600 | − | 0.279700i | 0.328380 | − | 0.944546i | \(-0.393497\pi\) |
−0.746981 | + | 0.664846i | \(0.768497\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 484.529 | + | 200.698i | 1.07434 | + | 0.445007i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −33.1383 | + | 6.59162i | −0.0731530 | + | 0.0145510i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 540.107 | + | 540.107i | 1.18705 | + | 1.18705i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 291.902 | + | 704.713i | 0.638734 | + | 1.54204i | 0.828367 | + | 0.560186i | \(0.189270\pi\) |
−0.189633 | + | 0.981855i | \(0.560730\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 124.920 | + | 280.381i | 0.272156 | + | 0.610853i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −610.198 | + | 252.752i | −1.32364 | + | 0.548269i | −0.928834 | − | 0.370495i | \(-0.879188\pi\) |
−0.394805 | + | 0.918765i | \(0.629188\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 284.548 | − | 284.548i | 0.614574 | − | 0.614574i | −0.329561 | − | 0.944134i | \(-0.606901\pi\) |
0.944134 | + | 0.329561i | \(0.106901\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 105.098 | + | 528.365i | 0.226018 | + | 1.13627i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −12.9528 | + | 31.2708i | −0.0277362 | + | 0.0669611i | −0.937141 | − | 0.348952i | \(-0.886538\pi\) |
0.909405 | + | 0.415913i | \(0.136538\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 231.631 | − | 346.660i | 0.493882 | − | 0.739147i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −193.181 | − | 289.115i | −0.410150 | − | 0.613833i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −375.252 | − | 74.6422i | −0.793344 | − | 0.157806i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 13.9301i | − | 0.0293266i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1084.47 | −2.27352 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −131.861 | + | 662.909i | −0.275283 | + | 1.38394i | 0.557423 | + | 0.830229i | \(0.311790\pi\) |
−0.832707 | + | 0.553715i | \(0.813210\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 345.125 | − | 230.605i | 0.717515 | − | 0.479428i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1315.20 | + | 878.791i | 2.72299 | + | 1.81944i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1116.80 | + | 462.595i | 2.30269 | + | 0.953805i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 328.059 | − | 65.2551i | 0.673633 | − | 0.133994i | 0.153591 | − | 0.988135i | \(-0.450916\pi\) |
0.520042 | + | 0.854141i | \(0.325916\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −111.689 | − | 111.689i | −0.228403 | − | 0.228403i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.18393 | − | 22.1720i | −0.0187045 | − | 0.0451568i | 0.914251 | − | 0.405148i | \(-0.132780\pi\) |
−0.932956 | + | 0.359991i | \(0.882780\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −343.413 | + | 9.08040i | −0.696577 | + | 0.0184187i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1078.23 | − | 446.619i | 2.17825 | − | 0.902261i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 772.800 | − | 772.800i | 1.55493 | − | 1.55493i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.25477 | − | 16.3628i | −0.00652258 | − | 0.0327912i | 0.977387 | − | 0.211459i | \(-0.0678214\pi\) |
−0.983910 | + | 0.178667i | \(0.942821\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 169.110 | − | 408.269i | 0.337546 | − | 0.814907i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −513.276 | + | 768.172i | −1.02043 | + | 1.52718i | −0.181168 | + | 0.983452i | \(0.557988\pi\) |
−0.839261 | + | 0.543728i | \(0.817012\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −669.487 | − | 1001.96i | −1.32572 | − | 1.98408i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 313.912 | + | 62.4409i | 0.619155 | + | 0.123158i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 788.802i | − | 1.54971i | −0.632139 | − | 0.774855i | \(-0.717823\pi\) | ||
0.632139 | − | 0.774855i | \(-0.282177\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −334.499 | −0.654598 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.01089 | − | 5.08208i | 0.00197054 | − | 0.00990660i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −725.547 | + | 484.795i | −1.40883 | + | 0.941350i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 352.913 | + | 235.809i | 0.682618 | + | 0.456110i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −976.256 | − | 404.379i | −1.88103 | − | 0.779150i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −762.882 | + | 151.747i | −1.46427 | + | 0.291261i | −0.861948 | − | 0.506996i | \(-0.830756\pi\) |
−0.602317 | + | 0.798257i | \(0.705756\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −429.923 | − | 429.923i | −0.822032 | − | 0.822032i | 0.164367 | − | 0.986399i | \(-0.447442\pi\) |
−0.986399 | + | 0.164367i | \(0.947442\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 771.496 | + | 1862.56i | 1.46952 | + | 3.54773i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −157.180 | + | 165.718i | −0.298255 | + | 0.314456i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −851.356 | + | 352.643i | −1.60937 | + | 0.666622i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 659.215 | − | 659.215i | 1.24146 | − | 1.24146i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −96.9593 | − | 487.447i | −0.181912 | − | 0.914535i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −27.4029 | + | 66.1565i | −0.0512204 | + | 0.123657i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −257.852 | + | 385.903i | −0.480172 | + | 0.718628i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −175.785 | − | 263.081i | −0.326132 | − | 0.488092i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 539.441 | + | 107.301i | 0.997118 | + | 0.198339i | 0.666564 | − | 0.745448i | \(-0.267764\pi\) |
0.330554 | + | 0.943787i | \(0.392764\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 395.905i | − | 0.729106i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 712.834 | 1.30795 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −85.1659 | + | 428.158i | −0.155696 | + | 0.782739i | 0.821468 | + | 0.570255i | \(0.193155\pi\) |
−0.977164 | + | 0.212484i | \(0.931845\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 503.830 | − | 336.648i | 0.917723 | − | 0.613203i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.82185 | + | 3.22186i | 0.00875109 | + | 0.00584729i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −370.640 | − | 153.524i | −0.670235 | − | 0.277620i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1627.89 | − | 323.807i | 2.93313 | − | 0.583437i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −148.713 | − | 148.713i | −0.266990 | − | 0.266990i | 0.560896 | − | 0.827886i | \(-0.310457\pi\) |
−0.827886 | + | 0.560896i | \(0.810457\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 138.752 | + | 334.976i | 0.248214 | + | 0.599242i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 711.421 | + | 448.619i | 1.26813 | + | 0.799678i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 747.065 | − | 309.445i | 1.32694 | − | 0.549635i | 0.397157 | − | 0.917751i | \(-0.369997\pi\) |
0.929780 | + | 0.368116i | \(0.119997\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −554.760 | + | 554.760i | −0.981876 | + | 0.981876i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −54.2963 | − | 272.966i | −0.0957607 | − | 0.481422i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 250.724 | − | 605.300i | 0.440639 | − | 1.06380i | −0.535086 | − | 0.844798i | \(-0.679721\pi\) |
0.975725 | − | 0.218999i | \(-0.0702792\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 264.956 | − | 396.535i | 0.464021 | − | 0.694456i | −0.523486 | − | 0.852034i | \(-0.675369\pi\) |
0.987507 | + | 0.157578i | \(0.0503686\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −746.897 | − | 1117.81i | −1.30349 | − | 1.95080i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1813.17 | − | 360.663i | −3.15335 | − | 0.627240i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 361.492i | 0.626503i | 0.949670 | + | 0.313252i | \(0.101418\pi\) | ||||
−0.949670 | + | 0.313252i | \(0.898582\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 458.042 | 0.791091 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 75.2564 | − | 378.339i | 0.129529 | − | 0.651186i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −741.825 | + | 495.672i | −1.27243 | + | 0.850209i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −919.588 | − | 614.449i | −1.57195 | − | 1.05034i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −580.651 | − | 240.513i | −0.989184 | − | 0.409733i | −0.171364 | − | 0.985208i | \(-0.554817\pi\) |
−0.817820 | + | 0.575475i | \(0.804817\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.78160 | − | 0.752208i | 0.00642038 | − | 0.00127709i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −689.195 | − | 689.195i | −1.16615 | − | 1.16615i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −240.296 | − | 580.125i | −0.405220 | − | 0.978288i | −0.986378 | − | 0.164497i | \(-0.947400\pi\) |
0.581158 | − | 0.813791i | \(-0.302600\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −690.733 | + | 1095.37i | −1.16090 | + | 1.84095i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −291.389 | + | 120.697i | −0.488089 | + | 0.202173i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 340.674 | − | 340.674i | 0.568738 | − | 0.568738i | −0.363037 | − | 0.931775i | \(-0.618260\pi\) |
0.931775 | + | 0.363037i | \(0.118260\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 187.466 | + | 942.455i | 0.311924 | + | 1.56815i | 0.745173 | + | 0.666871i | \(0.232367\pi\) |
−0.433249 | + | 0.901274i | \(0.642633\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −231.020 | + | 557.732i | −0.383118 | + | 0.924928i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −43.0602 | + | 64.4442i | −0.0711739 | + | 0.106519i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −47.5651 | − | 71.1862i | −0.0783609 | − | 0.117275i | 0.790219 | − | 0.612825i | \(-0.209967\pi\) |
−0.868580 | + | 0.495549i | \(0.834967\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −823.153 | − | 163.735i | −1.35165 | − | 0.268859i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 402.227i | − | 0.658309i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 486.131 | 0.793035 | 0.396518 | − | 0.918027i | \(-0.370219\pi\) | ||||
0.396518 | + | 0.918027i | \(0.370219\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 387.713 | − | 1949.17i | 0.630428 | − | 3.16938i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 294.487 | − | 196.770i | 0.477289 | − | 0.318914i | −0.293551 | − | 0.955943i | \(-0.594837\pi\) |
0.770839 | + | 0.637029i | \(0.219837\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −176.878 | − | 118.186i | −0.285747 | − | 0.190930i | 0.404433 | − | 0.914568i | \(-0.367469\pi\) |
−0.690180 | + | 0.723637i | \(0.742469\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −635.322 | − | 263.159i | −1.02306 | − | 0.423767i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 923.214 | − | 183.639i | 1.48188 | − | 0.294765i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −366.060 | − | 366.060i | −0.585696 | − | 0.585696i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.43332 | − | 13.1172i | −0.00866558 | − | 0.0209206i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 510.577 | + | 484.272i | 0.811728 | + | 0.769907i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 194.893 | − | 80.7272i | 0.308863 | − | 0.127935i | −0.222868 | − | 0.974849i | \(-0.571542\pi\) |
0.531731 | + | 0.846913i | \(0.321542\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −104.888 | + | 104.888i | −0.165700 | + | 0.165700i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.4277 | + | 97.6696i | 0.0305948 | + | 0.153810i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −114.745 | + | 277.018i | −0.180133 | + | 0.434880i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −879.172 | + | 1315.77i | −1.37586 | + | 2.05911i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 428.730 | + | 641.640i | 0.668846 | + | 1.00100i | 0.998382 | + | 0.0568559i | \(0.0181076\pi\) |
−0.329536 | + | 0.944143i | \(0.606892\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 765.226 | + | 152.213i | 1.19009 | + | 0.236723i | 0.750126 | − | 0.661294i | \(-0.229993\pi\) |
0.439960 | + | 0.898017i | \(0.354993\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1449.84i | 2.24781i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 381.431 | 0.589538 | 0.294769 | − | 0.955568i | \(-0.404757\pi\) | ||||
0.294769 | + | 0.955568i | \(0.404757\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 149.629 | − | 752.235i | 0.230553 | − | 1.15907i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −463.968 | + | 310.013i | −0.712700 | + | 0.476211i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 404.364 | + | 270.188i | 0.619241 | + | 0.413764i | 0.825235 | − | 0.564790i | \(-0.191043\pi\) |
−0.205994 | + | 0.978553i | \(0.566043\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1002.53 | + | 415.262i | 1.53058 | + | 0.633988i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 475.031 | − | 94.4895i | 0.723030 | − | 0.143820i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 343.801 | + | 343.801i | 0.521702 | + | 0.521702i | 0.918085 | − | 0.396383i | \(-0.129735\pi\) |
−0.396383 | + | 0.918085i | \(0.629735\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −228.858 | − | 552.512i | −0.346230 | − | 0.835873i | −0.997058 | − | 0.0766480i | \(-0.975578\pi\) |
0.650828 | − | 0.759225i | \(-0.274422\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −21.0675 | − | 796.753i | −0.0317760 | − | 1.20174i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 20.1964 | − | 8.36561i | 0.0303705 | − | 0.0125799i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 544.206 | − | 544.206i | 0.815900 | − | 0.815900i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 181.825 | + | 914.097i | 0.271787 | + | 1.36636i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 190.772 | − | 460.564i | 0.284310 | − | 0.686384i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 517.949 | − | 775.165i | 0.769612 | − | 1.15181i | −0.214926 | − | 0.976630i | \(-0.568951\pi\) |
0.984537 | − | 0.175175i | \(-0.0560491\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −486.929 | − | 728.740i | −0.721376 | − | 1.07962i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1205.69 | − | 239.827i | −1.78093 | − | 0.354250i | −0.808693 | − | 0.588231i | \(-0.799825\pi\) |
−0.972241 | + | 0.233981i | \(0.924825\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1252.11i | 1.84405i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 724.688 | 1.06415 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 234.044 | − | 1176.62i | 0.342670 | − | 1.72272i | −0.297707 | − | 0.954657i | \(-0.596222\pi\) |
0.640377 | − | 0.768061i | \(-0.278778\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −658.803 | + | 440.198i | −0.961757 | + | 0.642625i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1007.14 | − | 672.953i | −1.46600 | − | 0.979553i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 781.124 | + | 323.552i | 1.13371 | + | 0.469597i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −342.624 | + | 68.1522i | −0.495838 | + | 0.0986284i | −0.436674 | − | 0.899620i | \(-0.643844\pi\) |
−0.0591644 | + | 0.998248i | \(0.518844\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 854.799 | + | 854.799i | 1.23348 | + | 1.23348i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.18914 | + | 5.28504i | 0.00314984 | + | 0.00760438i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 769.659 | − | 342.910i | 1.10425 | − | 0.491980i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −407.753 | + | 168.897i | −0.583337 | + | 0.241626i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −206.308 | + | 206.308i | −0.294306 | + | 0.294306i | −0.838778 | − | 0.544473i | \(-0.816730\pi\) |
0.544473 | + | 0.838778i | \(0.316730\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.31755 | − | 11.6511i | −0.00329666 | − | 0.0165734i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 615.506 | − | 1485.96i | 0.873057 | − | 2.10775i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 693.464 | − | 1037.84i | 0.980854 | − | 1.46795i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 560.408 | + | 838.709i | 0.790420 | + | 1.18295i | 0.979591 | + | 0.201003i | \(0.0644199\pi\) |
−0.189171 | + | 0.981944i | \(0.560580\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 569.722 | + | 113.325i | 0.801297 | + | 0.159388i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − | 511.697i | − | 0.717668i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −909.880 | −1.27256 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −221.875 | + | 1115.44i | −0.309449 | + | 1.55570i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −156.675 | + | 104.687i | −0.217907 | + | 0.145601i | −0.659733 | − | 0.751500i | \(-0.729331\pi\) |
0.441826 | + | 0.897101i | \(0.354331\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −751.532 | − | 502.157i | −1.04235 | − | 0.696474i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1265.30 | − | 524.104i | −1.75007 | − | 0.724902i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 962.054 | − | 191.364i | 1.32697 | − | 0.263951i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 193.501 | + | 193.501i | 0.266164 | + | 0.266164i | 0.827552 | − | 0.561388i | \(-0.189733\pi\) |
−0.561388 | + | 0.827552i | \(0.689733\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 444.981 | + | 1074.28i | 0.610400 | + | 1.47363i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −501.898 | + | 354.899i | −0.686591 | + | 0.485498i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 333.378 | − | 138.090i | 0.454814 | − | 0.188390i | −0.143503 | − | 0.989650i | \(-0.545837\pi\) |
0.598316 | + | 0.801260i | \(0.295837\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −847.812 | + | 847.812i | −1.15349 | + | 1.15349i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 96.8909 | + | 487.103i | 0.131467 | + | 0.660927i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −109.129 | + | 263.461i | −0.147672 | + | 0.356511i | −0.980356 | − | 0.197237i | \(-0.936803\pi\) |
0.832684 | + | 0.553748i | \(0.186803\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.47505 | + | 11.1872i | −0.0100878 | + | 0.0150974i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 371.396 | + | 555.834i | 0.499860 | + | 0.748094i | 0.992514 | − | 0.122132i | \(-0.0389731\pi\) |
−0.492654 | + | 0.870225i | \(0.663973\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 528.882 | + | 105.201i | 0.709908 | + | 0.141210i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 558.547i | 0.747721i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −74.1717 | −0.0990277 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −100.375 | + | 504.621i | −0.133655 | + | 0.671932i | 0.854620 | + | 0.519253i | \(0.173790\pi\) |
−0.988276 | + | 0.152678i | \(0.951210\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1534.83 | + | 1025.54i | −2.03828 | + | 1.36194i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 51.5258 | + | 34.4285i | 0.0682461 | + | 0.0456006i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −818.393 | − | 338.989i | −1.08110 | − | 0.447806i | −0.230205 | − | 0.973142i | \(-0.573940\pi\) |
−0.850895 | + | 0.525336i | \(0.823940\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1848.03 | + | 367.597i | −2.43483 | + | 0.484317i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −104.490 | − | 104.490i | −0.137307 | − | 0.137307i | 0.635113 | − | 0.772419i | \(-0.280954\pi\) |
−0.772419 | + | 0.635113i | \(0.780954\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 282.559 | + | 682.159i | 0.370327 | + | 0.894048i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 671.508 | − | 1750.67i | 0.877788 | − | 2.28846i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −671.497 | + | 278.143i | −0.875486 | + | 0.362638i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 252.375 | − | 252.375i | 0.328185 | − | 0.328185i | −0.523711 | − | 0.851896i | \(-0.675453\pi\) |
0.851896 | + | 0.523711i | \(0.175453\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 200.659 | + | 1008.78i | 0.260258 | + | 1.30840i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −248.266 | + | 599.367i | −0.321172 | + | 0.775378i | 0.678014 | + | 0.735049i | \(0.262841\pi\) |
−0.999186 | + | 0.0403292i | \(0.987159\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 362.326 | − | 542.259i | 0.467517 | − | 0.699689i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 955.150 | + | 1429.48i | 1.22928 | + | 1.83975i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −13.9505 | − | 2.77494i | −0.0179083 | − | 0.00356218i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1301.88i | 1.66694i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 364.870 | 0.465990 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −124.418 | + | 625.491i | −0.158494 | + | 0.796804i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1062.94 | − | 710.234i | 1.35062 | − | 0.902457i | 0.351195 | − | 0.936302i | \(-0.385775\pi\) |
0.999427 | + | 0.0338454i | \(0.0107754\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1020.88 | + | 682.129i | 1.29389 | + | 0.864549i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −750.788 | − | 310.986i | −0.949163 | − | 0.393156i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −463.338 | + | 92.1637i | −0.584285 | + | 0.116222i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2390.62 | + | 2390.62i | 3.00707 | + | 3.00707i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −384.664 | − | 928.661i | −0.482640 | − | 1.16520i | −0.958351 | − | 0.285594i | \(-0.907809\pi\) |
0.475711 | − | 0.879602i | \(-0.342191\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 665.070 | − | 150.669i | 0.832378 | − | 0.188571i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1259.20 | + | 521.579i | −1.57204 | + | 0.651160i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 281.754 | − | 281.754i | 0.350877 | − | 0.350877i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −565.984 | − | 2845.39i | −0.703086 | − | 3.53465i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −629.826 | + | 1520.53i | −0.780453 | + | 1.88418i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −497.857 | + | 745.095i | −0.615398 | + | 0.921008i | −0.999998 | − | 0.00207569i | \(-0.999339\pi\) |
0.384600 | + | 0.923083i | \(0.374339\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.6263 | − | 18.8967i | −0.0155689 | − | 0.0233005i | 0.823604 | − | 0.567166i | \(-0.191960\pi\) |
−0.839172 | + | 0.543865i | \(0.816960\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −317.357 | − | 63.1262i | −0.390353 | − | 0.0776461i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 289.699i | 0.355459i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.3768 | 0.0127011 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 223.493 | − | 1123.58i | 0.272885 | − | 1.37189i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 865.321 | − | 578.189i | 1.05398 | − | 0.704250i | 0.0972639 | − | 0.995259i | \(-0.468991\pi\) |
0.956720 | + | 0.291009i | \(0.0939909\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 303.928 | + | 203.078i | 0.369293 | + | 0.246753i | 0.726344 | − | 0.687331i | \(-0.241218\pi\) |
−0.357052 | + | 0.934085i | \(0.616218\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2218.70 | − | 919.017i | −2.68934 | − | 1.11396i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1447.23 | − | 287.873i | 1.74998 | − | 0.348093i | 0.786854 | − | 0.617139i | \(-0.211708\pi\) |
0.963127 | + | 0.269046i | \(0.0867085\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 343.531 | + | 343.531i | 0.414392 | + | 0.414392i | 0.883265 | − | 0.468874i | \(-0.155340\pi\) |
−0.468874 | + | 0.883265i | \(0.655340\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −444.943 | − | 1074.19i | −0.535431 | − | 1.29264i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −501.023 | − | 85.9597i | −0.601468 | − | 0.103193i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −748.804 | + | 310.165i | −0.896771 | + | 0.371455i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 171.537 | − | 171.537i | 0.204943 | − | 0.204943i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −209.886 | − | 1055.17i | −0.250163 | − | 1.25765i | −0.877755 | − | 0.479110i | \(-0.840959\pi\) |
0.627592 | − | 0.778542i | \(-0.284041\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 165.566 | − | 399.712i | 0.196868 | − | 0.475282i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 785.069 | − | 1174.94i | 0.931280 | − | 1.39376i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −326.133 | − | 488.092i | −0.385956 | − | 0.577624i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −78.7395 | − | 15.6623i | −0.0929628 | − | 0.0184915i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 1003.20i | − | 1.18163i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1576.54 | −1.85257 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 311.200 | − | 1564.51i | 0.364830 | − | 1.83412i | −0.165345 | − | 0.986236i | \(-0.552874\pi\) |
0.530175 | − | 0.847888i | \(-0.322126\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −26.3182 | + | 17.5853i | −0.0307816 | + | 0.0205676i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 542.902 | + | 362.755i | 0.633491 | + | 0.423285i | 0.830424 | − | 0.557132i | \(-0.188098\pi\) |
−0.196933 | + | 0.980417i | \(0.563098\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 178.719 | + | 74.0278i | 0.208055 | + | 0.0861791i | 0.484277 | − | 0.874915i | \(-0.339083\pi\) |
−0.276222 | + | 0.961094i | \(0.589083\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2018.97 | − | 401.599i | 2.34492 | − | 0.466433i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 252.782 | + | 252.782i | 0.292911 | + | 0.292911i | 0.838229 | − | 0.545318i | \(-0.183591\pi\) |
−0.545318 | + | 0.838229i | \(0.683591\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 741.669 | + | 1790.55i | 0.857421 | + | 2.07000i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1309.52 | − | 333.287i | 1.51040 | − | 0.384414i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 441.511 | − | 182.880i | 0.508068 | − | 0.210449i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 332.799 | − | 332.799i | 0.382088 | − | 0.382088i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −353.697 | − | 1778.16i | −0.405151 | − | 2.03683i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 686.230 | − | 1656.71i | 0.784263 | − | 1.89338i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 178.790 | − | 267.578i | 0.203865 | − | 0.305106i | −0.715422 | − | 0.698692i | \(-0.753766\pi\) |
0.919288 | + | 0.393586i | \(0.128766\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.20676 | − | 9.28908i | −0.00706116 | − | 0.0105678i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 490.124 | + | 97.4918i | 0.556327 | + | 0.110660i | 0.465243 | − | 0.885183i | \(-0.345967\pi\) |
0.0910839 | + | 0.995843i | \(0.470967\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1165.97i | 1.32046i | 0.751063 | + | 0.660231i | \(0.229541\pi\) | ||||
−0.751063 | + | 0.660231i | \(0.770459\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2906.36 | −3.28403 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 226.028 | − | 1136.32i | 0.254823 | − | 1.28108i | −0.615317 | − | 0.788280i | \(-0.710972\pi\) |
0.870140 | − | 0.492804i | \(-0.164028\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −85.7656 | + | 57.3067i | −0.0964742 | + | 0.0644620i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 275.658 | + | 184.189i | 0.309381 | + | 0.206722i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.6353 | − | 4.40529i | −0.0119096 | − | 0.00493313i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 834.887 | − | 166.069i | 0.932835 | − | 0.185552i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1262.61 | + | 1262.61i | 1.40760 | + | 1.40760i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 103.899 | + | 250.835i | 0.115572 | + | 0.279016i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −242.385 | + | 1412.76i | −0.269018 | + | 1.56799i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1387.45 | + | 574.699i | −1.53649 | + | 0.636433i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −513.450 | + | 513.450i | −0.567348 | + | 0.567348i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −228.715 | − | 1149.83i | −0.252167 | − | 1.26773i | −0.874519 | − | 0.484991i | \(-0.838823\pi\) |
0.622352 | − | 0.782737i | \(-0.286177\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −691.635 | + | 1669.75i | −0.760874 | + | 1.83691i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 604.823 | − | 905.182i | 0.663912 | − | 0.993614i | −0.334771 | − | 0.942299i | \(-0.608659\pi\) |
0.998683 | − | 0.0513143i | \(-0.0163410\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 255.291 | + | 382.071i | 0.279618 | + | 0.418478i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1852.76 | − | 368.537i | −2.02487 | − | 0.402773i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1123.99i | 1.22573i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −261.705 | −0.284771 | −0.142386 | − | 0.989811i | \(-0.545477\pi\) | ||||
−0.142386 | + | 0.989811i | \(0.545477\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.68528 | + | 13.4998i | −0.00291562 | + | 0.0146578i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1025.81 | − | 685.426i | 1.11139 | − | 0.742606i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1670.70 | − | 1116.32i | −1.80616 | − | 1.20684i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1209.12 | + | 500.833i | 1.30433 | + | 0.540273i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1410.63 | + | 280.591i | −1.51844 | + | 0.302036i | −0.882725 | − | 0.469891i | \(-0.844293\pi\) |
−0.635712 | + | 0.771926i | \(0.719293\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.06795 | + | 6.06795i | 0.00651767 | + | 0.00651767i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −908.727 | − | 2193.86i | −0.973983 | − | 2.35140i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −340.828 | − | 1504.46i | −0.364522 | − | 1.60905i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1265.07 | − | 524.009i | 1.35013 | − | 0.559241i | 0.413799 | − | 0.910368i | \(-0.364202\pi\) |
0.936328 | + | 0.351128i | \(0.114202\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1230.14 | + | 1230.14i | −1.31005 | + | 1.31005i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 119.823 | + | 602.392i | 0.127336 | + | 0.640162i | 0.990754 | + | 0.135672i | \(0.0433194\pi\) |
−0.863418 | + | 0.504490i | \(0.831681\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −722.383 | + | 1743.99i | −0.766048 | + | 1.84940i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 764.132 | − | 1143.60i | 0.808605 | − | 1.21016i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 761.297 | + | 1139.36i | 0.803904 | + | 1.20313i | 0.975941 | + | 0.218037i | \(0.0699652\pi\) |
−0.172037 | + | 0.985091i | \(0.555035\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −370.347 | − | 73.6666i | −0.390250 | − | 0.0776255i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 675.594i | − | 0.710404i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1182.43 | −1.24075 | −0.620373 | − | 0.784307i | \(-0.713019\pi\) | ||||
−0.620373 | + | 0.784307i | \(0.713019\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −481.038 | + | 2418.34i | −0.503705 | + | 2.53230i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 831.271 | − | 555.437i | 0.868622 | − | 0.580394i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −682.397 | − | 455.963i | −0.711572 | − | 0.475457i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −721.076 | − | 298.680i | −0.750339 | − | 0.310801i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 105.333 | − | 20.9521i | 0.109380 | − | 0.0217571i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −594.035 | − | 594.035i | −0.615581 | − | 0.615581i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −611.666 | − | 1476.69i | −0.632539 | − | 1.52709i | −0.836420 | − | 0.548089i | \(-0.815355\pi\) |
0.203880 | − | 0.978996i | \(-0.434645\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −21.2977 | − | 8.16919i | −0.0219791 | − | 0.00843054i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −619.842 | + | 256.747i | −0.638354 | + | 0.264415i | −0.678298 | − | 0.734787i | \(-0.737282\pi\) |
0.0399436 | + | 0.999202i | \(0.487282\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.18986 | + | 4.18986i | −0.00430613 | + | 0.00430613i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 443.986 | + | 2232.07i | 0.455370 | + | 2.28930i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 625.620 | − | 1510.38i | 0.640348 | − | 1.54594i | −0.185864 | − | 0.982576i | \(-0.559508\pi\) |
0.826211 | − | 0.563360i | \(-0.190492\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −622.955 | + | 932.319i | −0.636318 | + | 0.952317i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −593.966 | − | 888.933i | −0.605470 | − | 0.906150i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −569.258 | − | 113.232i | −0.579103 | − | 0.115191i | −0.103157 | − | 0.994665i | \(-0.532894\pi\) |
−0.475946 | + | 0.879474i | \(0.657894\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1787.64i | 1.81486i | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1666.00 | 1.68794 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 268.663 | − | 1350.66i | 0.271651 | − | 1.36568i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 200.153 | − | 133.738i | 0.201971 | − | 0.134953i | −0.450472 | − | 0.892791i | \(-0.648744\pi\) |
0.652443 | + | 0.757838i | \(0.273744\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 304.411 | + | 203.401i | 0.306557 | + | 0.204835i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 534.436 | + | 221.371i | 0.537122 | + | 0.222483i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −456.434 | + | 90.7904i | −0.457808 | + | 0.0910636i | −0.418606 | − | 0.908168i | \(-0.637481\pi\) |
−0.0392012 | + | 0.999231i | \(0.512481\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −528.506 | − | 528.506i | −0.529035 | − | 0.529035i |
(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 | 136.3.t.a.65.1 | ✓ | 32 | |
4.3 | odd | 2 | 272.3.bh.f.65.4 | 32 | |||
17.11 | odd | 16 | inner | 136.3.t.a.113.1 | yes | 32 | |
68.11 | even | 16 | 272.3.bh.f.113.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.3.t.a.65.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
136.3.t.a.113.1 | yes | 32 | 17.11 | odd | 16 | inner | |
272.3.bh.f.65.4 | 32 | 4.3 | odd | 2 | |||
272.3.bh.f.113.4 | 32 | 68.11 | even | 16 |