Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(163,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.163");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.b (of order \(2\), degree \(1\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2x^{14} - 2x^{12} - 56x^{10} + 400x^{8} - 896x^{6} - 512x^{4} - 8192x^{2} + 65536 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 163.11 | ||
Root | \(0.862987 - 1.80423i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 216.163 |
Dual form | 216.3.b.b.163.12 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.862987 | − | 1.80423i | 0.431494 | − | 0.902116i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.51051 | − | 3.11406i | −0.627626 | − | 0.778515i | ||||
\(5\) | − | 1.42436i | − | 0.284871i | −0.989804 | − | 0.142436i | \(-0.954507\pi\) | ||
0.989804 | − | 0.142436i | \(-0.0454934\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 4.94379i | − | 0.706256i | −0.935575 | − | 0.353128i | \(-0.885118\pi\) | ||
0.935575 | − | 0.353128i | \(-0.114882\pi\) | |||||||
\(8\) | −7.78502 | + | 1.84214i | −0.973127 | + | 0.230267i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.56987 | − | 1.22920i | −0.256987 | − | 0.122920i | ||||
\(11\) | −2.70955 | −0.246323 | −0.123162 | − | 0.992387i | \(-0.539303\pi\) | ||||
−0.123162 | + | 0.992387i | \(0.539303\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 15.5806i | − | 1.19851i | −0.800559 | − | 0.599254i | \(-0.795464\pi\) | ||
0.800559 | − | 0.599254i | \(-0.204536\pi\) | |||||||
\(14\) | −8.91974 | − | 4.26643i | −0.637124 | − | 0.304745i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.39473 | + | 15.6357i | −0.212170 | + | 0.977233i | ||||
\(17\) | −28.9740 | −1.70435 | −0.852176 | − | 0.523255i | \(-0.824718\pi\) | ||||
−0.852176 | + | 0.523255i | \(0.824718\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.08332 | 0.372806 | 0.186403 | − | 0.982473i | \(-0.440317\pi\) | ||||
0.186403 | + | 0.982473i | \(0.440317\pi\) | |||||||
\(20\) | −4.43553 | + | 3.57585i | −0.221776 | + | 0.178793i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.33831 | + | 4.88866i | −0.106287 | + | 0.222212i | ||||
\(23\) | 10.1847i | 0.442811i | 0.975182 | + | 0.221406i | \(0.0710645\pi\) | ||||
−0.975182 | + | 0.221406i | \(0.928936\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 22.9712 | 0.918848 | ||||||||
\(26\) | −28.1110 | − | 13.4459i | −1.08119 | − | 0.517148i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −15.3953 | + | 12.4114i | −0.549830 | + | 0.443265i | ||||
\(29\) | − | 34.4999i | − | 1.18965i | −0.803854 | − | 0.594826i | \(-0.797221\pi\) | ||
0.803854 | − | 0.594826i | \(-0.202779\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 26.2444i | − | 0.846593i | −0.905991 | − | 0.423297i | \(-0.860873\pi\) | ||
0.905991 | − | 0.423297i | \(-0.139127\pi\) | |||||||
\(32\) | 25.2809 | + | 19.6183i | 0.790027 | + | 0.613072i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −25.0042 | + | 52.2758i | −0.735417 | + | 1.53752i | ||||
\(35\) | −7.04172 | −0.201192 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.36110i | 0.117868i | 0.998262 | + | 0.0589338i | \(0.0187701\pi\) | ||||
−0.998262 | + | 0.0589338i | \(0.981230\pi\) | |||||||
\(38\) | 6.11282 | − | 12.7800i | 0.160864 | − | 0.336315i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.62386 | + | 11.0886i | 0.0655966 | + | 0.277216i | ||||
\(41\) | 23.5591 | 0.574611 | 0.287306 | − | 0.957839i | \(-0.407240\pi\) | ||||
0.287306 | + | 0.957839i | \(0.407240\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 46.0553 | 1.07105 | 0.535526 | − | 0.844519i | \(-0.320113\pi\) | ||||
0.535526 | + | 0.844519i | \(0.320113\pi\) | |||||||
\(44\) | 6.80235 | + | 8.43771i | 0.154599 | + | 0.191766i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 18.3755 | + | 8.78923i | 0.399467 | + | 0.191070i | ||||
\(47\) | 76.4010i | 1.62555i | 0.582576 | + | 0.812777i | \(0.302045\pi\) | ||||
−0.582576 | + | 0.812777i | \(0.697955\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 24.5589 | 0.501203 | ||||||||
\(50\) | 19.8239 | − | 41.4454i | 0.396477 | − | 0.828908i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −48.5189 | + | 39.1152i | −0.933056 | + | 0.752215i | ||||
\(53\) | − | 69.6716i | − | 1.31456i | −0.753647 | − | 0.657279i | \(-0.771707\pi\) | ||
0.753647 | − | 0.657279i | \(-0.228293\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.85937i | 0.0701703i | ||||||||
\(56\) | 9.10715 | + | 38.4875i | 0.162628 | + | 0.687277i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −62.2458 | − | 29.7730i | −1.07320 | − | 0.513327i | ||||
\(59\) | 80.1517 | 1.35850 | 0.679252 | − | 0.733905i | \(-0.262304\pi\) | ||||
0.679252 | + | 0.733905i | \(0.262304\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 85.1807i | − | 1.39640i | −0.715900 | − | 0.698202i | \(-0.753984\pi\) | ||
0.715900 | − | 0.698202i | \(-0.246016\pi\) | |||||||
\(62\) | −47.3510 | − | 22.6486i | −0.763725 | − | 0.365300i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 57.2130 | − | 28.6822i | 0.893954 | − | 0.448159i | ||||
\(65\) | −22.1923 | −0.341420 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.80385 | 0.0418485 | 0.0209242 | − | 0.999781i | \(-0.493339\pi\) | ||||
0.0209242 | + | 0.999781i | \(0.493339\pi\) | |||||||
\(68\) | 72.7394 | + | 90.2267i | 1.06970 | + | 1.32686i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.07691 | + | 12.7049i | −0.0868130 | + | 0.181498i | ||||
\(71\) | 80.3947i | 1.13232i | 0.824296 | + | 0.566160i | \(0.191571\pi\) | ||||
−0.824296 | + | 0.566160i | \(0.808429\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −59.9527 | −0.821270 | −0.410635 | − | 0.911800i | \(-0.634693\pi\) | ||||
−0.410635 | + | 0.911800i | \(0.634693\pi\) | |||||||
\(74\) | 7.86844 | + | 3.76358i | 0.106330 | + | 0.0508591i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −17.7827 | − | 22.0579i | −0.233983 | − | 0.290235i | ||||
\(77\) | 13.3955i | 0.173967i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 111.063i | − | 1.40586i | −0.711259 | − | 0.702930i | \(-0.751875\pi\) | ||
0.711259 | − | 0.702930i | \(-0.248125\pi\) | |||||||
\(80\) | 22.2708 | + | 4.83530i | 0.278385 | + | 0.0604412i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 20.3312 | − | 42.5060i | 0.247941 | − | 0.518366i | ||||
\(83\) | 133.760 | 1.61157 | 0.805785 | − | 0.592208i | \(-0.201744\pi\) | ||||
0.805785 | + | 0.592208i | \(0.201744\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 41.2693i | 0.485521i | ||||||||
\(86\) | 39.7451 | − | 83.0944i | 0.462152 | − | 0.966213i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 21.0939 | − | 4.99138i | 0.239704 | − | 0.0567202i | ||||
\(89\) | −65.2456 | −0.733096 | −0.366548 | − | 0.930399i | \(-0.619460\pi\) | ||||
−0.366548 | + | 0.930399i | \(0.619460\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −77.0272 | −0.846453 | ||||||||
\(92\) | 31.7156 | − | 25.5686i | 0.344735 | − | 0.277920i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 137.845 | + | 65.9331i | 1.46644 | + | 0.701416i | ||||
\(95\) | − | 10.0892i | − | 0.106202i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 74.3752 | 0.766755 | 0.383377 | − | 0.923592i | \(-0.374761\pi\) | ||||
0.383377 | + | 0.923592i | \(0.374761\pi\) | |||||||
\(98\) | 21.1941 | − | 44.3100i | 0.216266 | − | 0.452143i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −57.6693 | − | 71.5337i | −0.576693 | − | 0.715337i | ||||
\(101\) | − | 159.189i | − | 1.57613i | −0.615595 | − | 0.788063i | \(-0.711084\pi\) | ||
0.615595 | − | 0.788063i | \(-0.288916\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 149.805i | 1.45441i | 0.686418 | + | 0.727207i | \(0.259182\pi\) | ||||
−0.686418 | + | 0.727207i | \(0.740818\pi\) | |||||||
\(104\) | 28.7016 | + | 121.295i | 0.275977 | + | 1.16630i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −125.704 | − | 60.1257i | −1.18588 | − | 0.567224i | ||||
\(107\) | −17.8799 | −0.167102 | −0.0835511 | − | 0.996503i | \(-0.526626\pi\) | ||||
−0.0835511 | + | 0.996503i | \(0.526626\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 150.420i | 1.38000i | 0.723811 | + | 0.689999i | \(0.242389\pi\) | ||||
−0.723811 | + | 0.689999i | \(0.757611\pi\) | |||||||
\(110\) | 6.96319 | + | 3.33059i | 0.0633018 | + | 0.0302781i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 77.2997 | + | 16.7828i | 0.690176 | + | 0.149847i | ||||
\(113\) | 49.8163 | 0.440852 | 0.220426 | − | 0.975404i | \(-0.429255\pi\) | ||||
0.220426 | + | 0.975404i | \(0.429255\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.5066 | 0.126144 | ||||||||
\(116\) | −107.435 | + | 86.6122i | −0.926162 | + | 0.746657i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 69.1699 | − | 144.612i | 0.586186 | − | 1.22553i | ||||
\(119\) | 143.241i | 1.20371i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −113.658 | −0.939325 | ||||||||
\(122\) | −153.686 | − | 73.5099i | −1.25972 | − | 0.602540i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −81.7266 | + | 65.8867i | −0.659085 | + | 0.531344i | ||||
\(125\) | − | 68.3281i | − | 0.546625i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 213.966i | 1.68477i | 0.538875 | + | 0.842386i | \(0.318850\pi\) | ||||
−0.538875 | + | 0.842386i | \(0.681150\pi\) | |||||||
\(128\) | −2.37518 | − | 127.978i | −0.0185561 | − | 0.999828i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −19.1517 | + | 40.0401i | −0.147321 | + | 0.308001i | ||||
\(131\) | −213.913 | −1.63292 | −0.816462 | − | 0.577399i | \(-0.804068\pi\) | ||||
−0.816462 | + | 0.577399i | \(0.804068\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 35.0184i | − | 0.263297i | ||||||
\(134\) | 2.41969 | − | 5.05879i | 0.0180574 | − | 0.0377522i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 225.563 | − | 53.3741i | 1.65855 | − | 0.392457i | ||||
\(137\) | −178.724 | −1.30456 | −0.652279 | − | 0.757979i | \(-0.726187\pi\) | ||||
−0.652279 | + | 0.757979i | \(0.726187\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −83.2514 | −0.598931 | −0.299465 | − | 0.954107i | \(-0.596808\pi\) | ||||
−0.299465 | + | 0.954107i | \(0.596808\pi\) | |||||||
\(140\) | 17.6783 | + | 21.9283i | 0.126273 | + | 0.156631i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 145.051 | + | 69.3796i | 1.02148 | + | 0.488589i | ||||
\(143\) | 42.2165i | 0.295220i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −49.1402 | −0.338898 | ||||||||
\(146\) | −51.7384 | + | 108.169i | −0.354373 | + | 0.740881i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.5807 | − | 10.9486i | 0.0917617 | − | 0.0739768i | ||||
\(149\) | 137.904i | 0.925531i | 0.886481 | + | 0.462766i | \(0.153143\pi\) | ||||
−0.886481 | + | 0.462766i | \(0.846857\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 15.9729i | − | 0.105781i | −0.998600 | − | 0.0528905i | \(-0.983157\pi\) | ||
0.998600 | − | 0.0528905i | \(-0.0168434\pi\) | |||||||
\(152\) | −55.1438 | + | 13.0485i | −0.362788 | + | 0.0858452i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 24.1685 | + | 11.5601i | 0.156938 | + | 0.0750657i | ||||
\(155\) | −37.3813 | −0.241170 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 152.976i | 0.974367i | 0.873300 | + | 0.487183i | \(0.161976\pi\) | ||||
−0.873300 | + | 0.487183i | \(0.838024\pi\) | |||||||
\(158\) | −200.383 | − | 95.8459i | −1.26825 | − | 0.606620i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 27.9434 | − | 36.0089i | 0.174647 | − | 0.225056i | ||||
\(161\) | 50.3508 | 0.312738 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −144.537 | −0.886732 | −0.443366 | − | 0.896341i | \(-0.646216\pi\) | ||||
−0.443366 | + | 0.896341i | \(0.646216\pi\) | |||||||
\(164\) | −59.1452 | − | 73.3643i | −0.360641 | − | 0.447343i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 115.433 | − | 241.335i | 0.695382 | − | 1.45382i | ||||
\(167\) | − | 290.113i | − | 1.73720i | −0.495510 | − | 0.868602i | \(-0.665019\pi\) | ||
0.495510 | − | 0.868602i | \(-0.334981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −73.7550 | −0.436420 | ||||||||
\(170\) | 74.4593 | + | 35.6149i | 0.437996 | + | 0.209499i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −115.622 | − | 143.419i | −0.672221 | − | 0.833830i | ||||
\(173\) | − | 106.253i | − | 0.614179i | −0.951681 | − | 0.307089i | \(-0.900645\pi\) | ||
0.951681 | − | 0.307089i | \(-0.0993551\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 113.565i | − | 0.648942i | ||||||
\(176\) | 9.19819 | − | 42.3658i | 0.0522625 | − | 0.240715i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −56.3061 | + | 117.718i | −0.316326 | + | 0.661338i | ||||
\(179\) | 160.840 | 0.898549 | 0.449274 | − | 0.893394i | \(-0.351683\pi\) | ||||
0.449274 | + | 0.893394i | \(0.351683\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 0.648697i | − | 0.00358396i | −0.999998 | − | 0.00179198i | \(-0.999430\pi\) | ||
0.999998 | − | 0.00179198i | \(-0.000570405\pi\) | |||||||
\(182\) | −66.4735 | + | 138.975i | −0.365239 | + | 0.763598i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −18.7616 | − | 79.2878i | −0.101965 | − | 0.430912i | ||||
\(185\) | 6.21176 | 0.0335771 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 78.5066 | 0.419821 | ||||||||
\(188\) | 237.917 | − | 191.805i | 1.26552 | − | 1.02024i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.2032 | − | 8.70683i | −0.0958063 | − | 0.0458254i | ||||
\(191\) | 76.5664i | 0.400871i | 0.979707 | + | 0.200436i | \(0.0642357\pi\) | ||||
−0.979707 | + | 0.200436i | \(0.935764\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 57.7940 | 0.299451 | 0.149725 | − | 0.988728i | \(-0.452161\pi\) | ||||
0.149725 | + | 0.988728i | \(0.452161\pi\) | |||||||
\(194\) | 64.1849 | − | 134.190i | 0.330850 | − | 0.691702i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −61.6554 | − | 76.4780i | −0.314568 | − | 0.390194i | ||||
\(197\) | 82.2299i | 0.417411i | 0.977979 | + | 0.208705i | \(0.0669249\pi\) | ||||
−0.977979 | + | 0.208705i | \(0.933075\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 40.2673i | − | 0.202348i | −0.994869 | − | 0.101174i | \(-0.967740\pi\) | ||
0.994869 | − | 0.101174i | \(-0.0322599\pi\) | |||||||
\(200\) | −178.831 | + | 42.3162i | −0.894157 | + | 0.211581i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −287.213 | − | 137.378i | −1.42185 | − | 0.680088i | ||||
\(203\) | −170.560 | −0.840199 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 33.5565i | − | 0.163690i | ||||||
\(206\) | 270.282 | + | 129.280i | 1.31205 | + | 0.627571i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 243.614 | + | 52.8919i | 1.17122 | + | 0.254288i | ||||
\(209\) | −19.1926 | −0.0918308 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 76.4845 | 0.362486 | 0.181243 | − | 0.983438i | \(-0.441988\pi\) | ||||
0.181243 | + | 0.983438i | \(0.441988\pi\) | |||||||
\(212\) | −216.961 | + | 174.911i | −1.02340 | + | 0.825051i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.4302 | + | 32.2595i | −0.0721035 | + | 0.150745i | ||||
\(215\) | − | 65.5991i | − | 0.305112i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −129.747 | −0.597911 | ||||||||
\(218\) | 271.392 | + | 129.810i | 1.24492 | + | 0.595460i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 12.0183 | − | 9.68896i | 0.0546286 | − | 0.0440407i | ||||
\(221\) | 451.432i | 2.04268i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 86.3440i | 0.387193i | 0.981081 | + | 0.193596i | \(0.0620152\pi\) | ||||
−0.981081 | + | 0.193596i | \(0.937985\pi\) | |||||||
\(224\) | 96.9888 | − | 124.983i | 0.432986 | − | 0.557961i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 42.9908 | − | 89.8801i | 0.190225 | − | 0.397700i | ||||
\(227\) | −4.88232 | −0.0215080 | −0.0107540 | − | 0.999942i | \(-0.503423\pi\) | ||||
−0.0107540 | + | 0.999942i | \(0.503423\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 257.116i | − | 1.12278i | −0.827552 | − | 0.561389i | \(-0.810267\pi\) | ||
0.827552 | − | 0.561389i | \(-0.189733\pi\) | |||||||
\(230\) | 12.5190 | − | 26.1732i | 0.0544304 | − | 0.113797i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 63.5537 | + | 268.582i | 0.273938 | + | 1.15768i | ||||
\(233\) | 359.069 | 1.54107 | 0.770534 | − | 0.637398i | \(-0.219989\pi\) | ||||
0.770534 | + | 0.637398i | \(0.219989\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 108.822 | 0.463073 | ||||||||
\(236\) | −201.221 | − | 249.597i | −0.852633 | − | 1.05762i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 258.441 | + | 123.615i | 1.08588 | + | 0.519393i | ||||
\(239\) | − | 437.851i | − | 1.83201i | −0.401162 | − | 0.916007i | \(-0.631394\pi\) | ||
0.401162 | − | 0.916007i | \(-0.368606\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 246.366 | 1.02227 | 0.511133 | − | 0.859502i | \(-0.329226\pi\) | ||||
0.511133 | + | 0.859502i | \(0.329226\pi\) | |||||||
\(242\) | −98.0857 | + | 205.066i | −0.405313 | + | 0.847380i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −265.258 | + | 213.847i | −1.08712 | + | 0.876420i | ||||
\(245\) | − | 34.9807i | − | 0.142778i | ||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 110.362i | − | 0.446811i | ||||||
\(248\) | 48.3458 | + | 204.313i | 0.194943 | + | 0.823843i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −123.280 | − | 58.9663i | −0.493119 | − | 0.235865i | ||||
\(251\) | 127.838 | 0.509314 | 0.254657 | − | 0.967031i | \(-0.418037\pi\) | ||||
0.254657 | + | 0.967031i | \(0.418037\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 27.5959i | − | 0.109075i | ||||||
\(254\) | 386.044 | + | 184.650i | 1.51986 | + | 0.726969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −232.952 | − | 106.158i | −0.909967 | − | 0.414680i | ||||
\(257\) | 76.0568 | 0.295941 | 0.147970 | − | 0.988992i | \(-0.452726\pi\) | ||||
0.147970 | + | 0.988992i | \(0.452726\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.5604 | 0.0832447 | ||||||||
\(260\) | 55.7139 | + | 69.1082i | 0.214284 | + | 0.265801i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −184.604 | + | 385.949i | −0.704597 | + | 1.47309i | ||||
\(263\) | 87.8347i | 0.333972i | 0.985959 | + | 0.166986i | \(0.0534035\pi\) | ||||
−0.985959 | + | 0.166986i | \(0.946597\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −99.2371 | −0.374480 | ||||||||
\(266\) | −63.1814 | − | 30.2205i | −0.237524 | − | 0.113611i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.03907 | − | 8.73135i | −0.0262652 | − | 0.0325797i | ||||
\(269\) | 251.470i | 0.934832i | 0.884037 | + | 0.467416i | \(0.154815\pi\) | ||||
−0.884037 | + | 0.467416i | \(0.845185\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 143.262i | − | 0.528642i | −0.964435 | − | 0.264321i | \(-0.914852\pi\) | ||
0.964435 | − | 0.264321i | \(-0.0851478\pi\) | |||||||
\(272\) | 98.3588 | − | 453.029i | 0.361613 | − | 1.66555i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −154.237 | + | 322.460i | −0.562908 | + | 1.17686i | ||||
\(275\) | −62.2417 | −0.226334 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 264.625i | 0.955325i | 0.878543 | + | 0.477662i | \(0.158516\pi\) | ||||
−0.878543 | + | 0.477662i | \(0.841484\pi\) | |||||||
\(278\) | −71.8449 | + | 150.205i | −0.258435 | + | 0.540305i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 54.8199 | − | 12.9718i | 0.195785 | − | 0.0463279i | ||||
\(281\) | 296.505 | 1.05518 | 0.527589 | − | 0.849500i | \(-0.323096\pi\) | ||||
0.527589 | + | 0.849500i | \(0.323096\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 55.5093 | 0.196146 | 0.0980730 | − | 0.995179i | \(-0.468732\pi\) | ||||
0.0980730 | + | 0.995179i | \(0.468732\pi\) | |||||||
\(284\) | 250.354 | − | 201.831i | 0.881527 | − | 0.710673i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 76.1683 | + | 36.4323i | 0.266323 | + | 0.127386i | ||||
\(287\) | − | 116.471i | − | 0.405823i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 550.492 | 1.90482 | ||||||||
\(290\) | −42.4073 | + | 88.6602i | −0.146232 | + | 0.305725i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 150.512 | + | 186.696i | 0.515451 | + | 0.639371i | ||||
\(293\) | 364.614i | 1.24442i | 0.782852 | + | 0.622208i | \(0.213764\pi\) | ||||
−0.782852 | + | 0.622208i | \(0.786236\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 114.165i | − | 0.386999i | ||||||
\(296\) | −8.03376 | − | 33.9513i | −0.0271411 | − | 0.114700i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 248.811 | + | 119.010i | 0.834936 | + | 0.399361i | ||||
\(299\) | 158.683 | 0.530713 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 227.687i | − | 0.756437i | ||||||
\(302\) | −28.8189 | − | 13.7844i | −0.0954268 | − | 0.0456439i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.0459 | + | 110.753i | −0.0790985 | + | 0.364319i | ||||
\(305\) | −121.328 | −0.397795 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 199.204 | 0.648872 | 0.324436 | − | 0.945908i | \(-0.394825\pi\) | ||||
0.324436 | + | 0.945908i | \(0.394825\pi\) | |||||||
\(308\) | 41.7143 | − | 33.6294i | 0.135436 | − | 0.109186i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −32.2596 | + | 67.4446i | −0.104063 | + | 0.217563i | ||||
\(311\) | − | 391.789i | − | 1.25977i | −0.776688 | − | 0.629885i | \(-0.783102\pi\) | ||
0.776688 | − | 0.629885i | \(-0.216898\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −315.898 | −1.00926 | −0.504630 | − | 0.863336i | \(-0.668371\pi\) | ||||
−0.504630 | + | 0.863336i | \(0.668371\pi\) | |||||||
\(314\) | 276.003 | + | 132.016i | 0.878992 | + | 0.420433i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −345.856 | + | 278.824i | −1.09448 | + | 0.882354i | ||||
\(317\) | − | 119.157i | − | 0.375889i | −0.982180 | − | 0.187944i | \(-0.939818\pi\) | ||
0.982180 | − | 0.187944i | \(-0.0601825\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 93.4793i | 0.293039i | ||||||||
\(320\) | −40.8536 | − | 81.4917i | −0.127668 | − | 0.254662i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 43.4521 | − | 90.8445i | 0.134944 | − | 0.282126i | ||||
\(323\) | −205.232 | −0.635393 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 357.905i | − | 1.10125i | ||||||
\(326\) | −124.734 | + | 260.779i | −0.382619 | + | 0.799935i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −183.408 | + | 43.3991i | −0.559170 | + | 0.132314i | ||||
\(329\) | 377.710 | 1.14806 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −144.486 | −0.436512 | −0.218256 | − | 0.975892i | \(-0.570037\pi\) | ||||
−0.218256 | + | 0.975892i | \(0.570037\pi\) | |||||||
\(332\) | −335.806 | − | 416.537i | −1.01146 | − | 1.25463i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −523.432 | − | 250.364i | −1.56716 | − | 0.749593i | ||||
\(335\) | − | 3.99368i | − | 0.0119214i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 500.012 | 1.48371 | 0.741857 | − | 0.670558i | \(-0.233945\pi\) | ||||
0.741857 | + | 0.670558i | \(0.233945\pi\) | |||||||
\(338\) | −63.6496 | + | 133.071i | −0.188312 | + | 0.393701i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 128.515 | − | 103.607i | 0.377985 | − | 0.304726i | ||||
\(341\) | 71.1106i | 0.208535i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 363.660i | − | 1.06023i | ||||||
\(344\) | −358.541 | + | 84.8402i | −1.04227 | + | 0.246629i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −191.705 | − | 91.6950i | −0.554061 | − | 0.265014i | ||||
\(347\) | −603.316 | −1.73866 | −0.869331 | − | 0.494230i | \(-0.835450\pi\) | ||||
−0.869331 | + | 0.494230i | \(0.835450\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 418.624i | − | 1.19950i | −0.800189 | − | 0.599748i | \(-0.795268\pi\) | ||
0.800189 | − | 0.599748i | \(-0.204732\pi\) | |||||||
\(350\) | −204.897 | − | 98.0050i | −0.585421 | − | 0.280014i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −68.4998 | − | 53.1568i | −0.194602 | − | 0.151014i | ||||
\(353\) | −164.645 | −0.466417 | −0.233208 | − | 0.972427i | \(-0.574922\pi\) | ||||
−0.233208 | + | 0.972427i | \(0.574922\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 114.511 | 0.322565 | ||||||||
\(356\) | 163.799 | + | 203.179i | 0.460110 | + | 0.570726i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 138.803 | − | 290.193i | 0.387718 | − | 0.810595i | ||||
\(359\) | − | 65.5404i | − | 0.182564i | −0.995825 | − | 0.0912819i | \(-0.970904\pi\) | ||
0.995825 | − | 0.0912819i | \(-0.0290964\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −310.827 | −0.861015 | ||||||||
\(362\) | −1.17040 | − | 0.559817i | −0.00323315 | − | 0.00154646i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 193.377 | + | 239.867i | 0.531256 | + | 0.658976i | ||||
\(365\) | 85.3940i | 0.233956i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 188.436i | 0.513449i | 0.966485 | + | 0.256724i | \(0.0826433\pi\) | ||||
−0.966485 | + | 0.256724i | \(0.917357\pi\) | |||||||
\(368\) | −159.245 | − | 34.5741i | −0.432730 | − | 0.0939515i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.36067 | − | 11.2075i | 0.0144883 | − | 0.0302904i | ||||
\(371\) | −344.442 | −0.928414 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 399.943i | 1.07223i | 0.844144 | + | 0.536116i | \(0.180109\pi\) | ||||
−0.844144 | + | 0.536116i | \(0.819891\pi\) | |||||||
\(374\) | 67.7502 | − | 141.644i | 0.181150 | − | 0.378727i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −140.741 | − | 594.783i | −0.374312 | − | 1.58187i | ||||
\(377\) | −537.529 | −1.42581 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 370.998 | 0.978886 | 0.489443 | − | 0.872035i | \(-0.337200\pi\) | ||||
0.489443 | + | 0.872035i | \(0.337200\pi\) | |||||||
\(380\) | −31.4183 | + | 25.3289i | −0.0826797 | + | 0.0666550i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 138.144 | + | 66.0758i | 0.361632 | + | 0.172973i | ||||
\(383\) | 39.1265i | 0.102158i | 0.998695 | + | 0.0510790i | \(0.0162660\pi\) | ||||
−0.998695 | + | 0.0510790i | \(0.983734\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 19.0799 | 0.0495582 | ||||||||
\(386\) | 49.8755 | − | 104.274i | 0.129211 | − | 0.270139i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −186.719 | − | 231.609i | −0.481236 | − | 0.596930i | ||||
\(389\) | 119.226i | 0.306493i | 0.988188 | + | 0.153247i | \(0.0489729\pi\) | ||||
−0.988188 | + | 0.153247i | \(0.951027\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 295.090i | − | 0.754707i | ||||||
\(392\) | −191.192 | + | 45.2410i | −0.487734 | + | 0.115411i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 148.362 | + | 70.9634i | 0.376553 | + | 0.180110i | ||||
\(395\) | −158.193 | −0.400489 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 143.202i | − | 0.360711i | −0.983601 | − | 0.180356i | \(-0.942275\pi\) | ||
0.983601 | − | 0.180356i | \(-0.0577248\pi\) | |||||||
\(398\) | −72.6515 | − | 34.7501i | −0.182541 | − | 0.0873119i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −77.9810 | + | 359.171i | −0.194952 | + | 0.897929i | ||||
\(401\) | 142.969 | 0.356530 | 0.178265 | − | 0.983982i | \(-0.442952\pi\) | ||||
0.178265 | + | 0.983982i | \(0.442952\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −408.903 | −1.01465 | ||||||||
\(404\) | −495.723 | + | 399.644i | −1.22704 | + | 0.989218i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −147.191 | + | 307.730i | −0.362540 | + | 0.757956i | ||||
\(407\) | − | 11.8166i | − | 0.0290335i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −288.751 | −0.705992 | −0.352996 | − | 0.935625i | \(-0.614837\pi\) | ||||
−0.352996 | + | 0.935625i | \(0.614837\pi\) | |||||||
\(410\) | −60.5437 | − | 28.9588i | −0.147668 | − | 0.0706313i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 466.501 | − | 376.086i | 1.13228 | − | 0.912829i | ||||
\(413\) | − | 396.253i | − | 0.959451i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 190.522i | − | 0.459090i | ||||||
\(416\) | 305.665 | − | 393.891i | 0.734771 | − | 0.946853i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −16.5630 | + | 34.6280i | −0.0396244 | + | 0.0828420i | ||||
\(419\) | 668.281 | 1.59494 | 0.797472 | − | 0.603356i | \(-0.206170\pi\) | ||||
0.797472 | + | 0.603356i | \(0.206170\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 457.020i | 1.08556i | 0.839876 | + | 0.542779i | \(0.182628\pi\) | ||||
−0.839876 | + | 0.542779i | \(0.817372\pi\) | |||||||
\(422\) | 66.0051 | − | 137.996i | 0.156410 | − | 0.327004i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 128.345 | + | 542.395i | 0.302700 | + | 1.27923i | ||||
\(425\) | −665.568 | −1.56604 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −421.115 | −0.986219 | ||||||||
\(428\) | 44.8877 | + | 55.6792i | 0.104878 | + | 0.130091i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −118.356 | − | 56.6112i | −0.275246 | − | 0.131654i | ||||
\(431\) | − | 291.189i | − | 0.675613i | −0.941216 | − | 0.337806i | \(-0.890315\pi\) | ||
0.941216 | − | 0.337806i | \(-0.109685\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 298.330 | 0.688984 | 0.344492 | − | 0.938789i | \(-0.388051\pi\) | ||||
0.344492 | + | 0.938789i | \(0.388051\pi\) | |||||||
\(434\) | −111.970 | + | 234.093i | −0.257995 | + | 0.539385i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 468.416 | − | 377.629i | 1.07435 | − | 0.866123i | ||||
\(437\) | 72.1412i | 0.165083i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 411.905i | 0.938281i | 0.883123 | + | 0.469141i | \(0.155436\pi\) | ||||
−0.883123 | + | 0.469141i | \(0.844564\pi\) | |||||||
\(440\) | −7.10950 | − | 30.0453i | −0.0161579 | − | 0.0682847i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 814.488 | + | 389.580i | 1.84273 | + | 0.881403i | ||||
\(443\) | 545.893 | 1.23226 | 0.616132 | − | 0.787643i | \(-0.288699\pi\) | ||||
0.616132 | + | 0.787643i | \(0.288699\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 92.9329i | 0.208838i | ||||||||
\(446\) | 155.785 | + | 74.5138i | 0.349293 | + | 0.167071i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −141.799 | − | 282.849i | −0.316515 | − | 0.631360i | ||||
\(449\) | 208.017 | 0.463289 | 0.231644 | − | 0.972801i | \(-0.425589\pi\) | ||||
0.231644 | + | 0.972801i | \(0.425589\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −63.8345 | −0.141540 | ||||||||
\(452\) | −125.064 | − | 155.131i | −0.276690 | − | 0.343210i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.21338 | + | 8.80884i | −0.00928058 | + | 0.0194027i | ||||
\(455\) | 109.714i | 0.241130i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −739.827 | −1.61888 | −0.809439 | − | 0.587205i | \(-0.800228\pi\) | ||||
−0.809439 | + | 0.587205i | \(0.800228\pi\) | |||||||
\(458\) | −463.897 | − | 221.888i | −1.01288 | − | 0.484472i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −36.4188 | − | 45.1743i | −0.0791714 | − | 0.0982051i | ||||
\(461\) | − | 61.7163i | − | 0.133875i | −0.997757 | − | 0.0669374i | \(-0.978677\pi\) | ||
0.997757 | − | 0.0669374i | \(-0.0213228\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 675.030i | 1.45795i | 0.684541 | + | 0.728974i | \(0.260003\pi\) | ||||
−0.684541 | + | 0.728974i | \(0.739997\pi\) | |||||||
\(464\) | 539.431 | + | 117.118i | 1.16257 | + | 0.252409i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 309.872 | − | 647.844i | 0.664962 | − | 1.39022i | ||||
\(467\) | −559.474 | −1.19802 | −0.599009 | − | 0.800743i | \(-0.704438\pi\) | ||||
−0.599009 | + | 0.800743i | \(0.704438\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 13.8616i | − | 0.0295557i | ||||||
\(470\) | 93.9122 | − | 196.340i | 0.199813 | − | 0.417746i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −623.983 | + | 147.651i | −1.32200 | + | 0.312819i | ||||
\(473\) | −124.789 | −0.263825 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 162.712 | 0.342553 | ||||||||
\(476\) | 446.062 | − | 359.608i | 0.937105 | − | 0.755479i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −789.985 | − | 377.860i | −1.65269 | − | 0.790503i | ||||
\(479\) | 287.292i | 0.599774i | 0.953975 | + | 0.299887i | \(0.0969490\pi\) | ||||
−0.953975 | + | 0.299887i | \(0.903051\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 67.9486 | 0.141265 | ||||||||
\(482\) | 212.611 | − | 444.501i | 0.441101 | − | 0.922202i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 285.340 | + | 353.939i | 0.589545 | + | 0.731278i | ||||
\(485\) | − | 105.937i | − | 0.218426i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 489.110i | 1.00433i | 0.864771 | + | 0.502166i | \(0.167463\pi\) | ||||
−0.864771 | + | 0.502166i | \(0.832537\pi\) | |||||||
\(488\) | 156.915 | + | 663.133i | 0.321547 | + | 1.35888i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −63.1133 | − | 30.1879i | −0.128803 | − | 0.0616079i | ||||
\(491\) | 525.888 | 1.07106 | 0.535528 | − | 0.844518i | \(-0.320113\pi\) | ||||
0.535528 | + | 0.844518i | \(0.320113\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 999.600i | 2.02759i | ||||||||
\(494\) | −199.119 | − | 95.2413i | −0.403075 | − | 0.192796i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 410.350 | + | 89.0925i | 0.827318 | + | 0.179622i | ||||
\(497\) | 397.454 | 0.799707 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 687.095 | 1.37694 | 0.688472 | − | 0.725263i | \(-0.258282\pi\) | ||||
0.688472 | + | 0.725263i | \(0.258282\pi\) | |||||||
\(500\) | −212.778 | + | 171.538i | −0.425555 | + | 0.343076i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 110.322 | − | 230.649i | 0.219766 | − | 0.459460i | ||||
\(503\) | 872.525i | 1.73464i | 0.497750 | + | 0.867321i | \(0.334160\pi\) | ||||
−0.497750 | + | 0.867321i | \(0.665840\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −226.741 | −0.448993 | ||||||||
\(506\) | −49.7894 | − | 23.8149i | −0.0983980 | − | 0.0470650i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 666.303 | − | 537.163i | 1.31162 | − | 1.05741i | ||||
\(509\) | − | 402.266i | − | 0.790307i | −0.918615 | − | 0.395153i | \(-0.870691\pi\) | ||
0.918615 | − | 0.395153i | \(-0.129309\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 296.393i | 0.580026i | ||||||||
\(512\) | −392.568 | + | 328.686i | −0.766734 | + | 0.641964i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 65.6360 | − | 137.224i | 0.127697 | − | 0.266973i | ||||
\(515\) | 213.375 | 0.414321 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 207.013i | − | 0.400411i | ||||||
\(518\) | 18.6063 | − | 38.8999i | 0.0359196 | − | 0.0750963i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 172.768 | − | 40.8813i | 0.332245 | − | 0.0786180i | ||||
\(521\) | −28.9740 | −0.0556123 | −0.0278061 | − | 0.999613i | \(-0.508852\pi\) | ||||
−0.0278061 | + | 0.999613i | \(0.508852\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −454.653 | −0.869318 | −0.434659 | − | 0.900595i | \(-0.643131\pi\) | ||||
−0.434659 | + | 0.900595i | \(0.643131\pi\) | |||||||
\(524\) | 537.030 | + | 666.138i | 1.02487 | + | 1.27126i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 158.474 | + | 75.8002i | 0.301282 | + | 0.144107i | ||||
\(527\) | 760.405i | 1.44289i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 425.273 | 0.803918 | ||||||||
\(530\) | −85.6404 | + | 179.047i | −0.161586 | + | 0.337824i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −109.050 | + | 87.9140i | −0.204980 | + | 0.165252i | ||||
\(533\) | − | 367.064i | − | 0.688676i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.4674i | 0.0476026i | ||||||||
\(536\) | −21.8280 | + | 5.16508i | −0.0407239 | + | 0.00963634i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 453.710 | + | 217.015i | 0.843327 | + | 0.403374i | ||||
\(539\) | −66.5438 | −0.123458 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 215.095i | 0.397587i | 0.980041 | + | 0.198793i | \(0.0637023\pi\) | ||||
−0.980041 | + | 0.198793i | \(0.936298\pi\) | |||||||
\(542\) | −258.478 | − | 123.633i | −0.476896 | − | 0.228106i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −732.488 | − | 568.421i | −1.34648 | − | 1.04489i | ||||
\(545\) | 214.251 | 0.393121 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1003.34 | −1.83426 | −0.917132 | − | 0.398583i | \(-0.869502\pi\) | ||||
−0.917132 | + | 0.398583i | \(0.869502\pi\) | |||||||
\(548\) | 448.688 | + | 556.558i | 0.818775 | + | 1.01562i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −53.7138 | + | 112.298i | −0.0976615 | + | 0.204179i | ||||
\(551\) | − | 244.374i | − | 0.443510i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −549.072 | −0.992896 | ||||||||
\(554\) | 477.445 | + | 228.368i | 0.861814 | + | 0.412217i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 209.003 | + | 259.250i | 0.375905 | + | 0.466277i | ||||
\(557\) | − | 367.873i | − | 0.660455i | −0.943901 | − | 0.330227i | \(-0.892875\pi\) | ||
0.943901 | − | 0.330227i | \(-0.107125\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 717.568i | − | 1.28366i | ||||||
\(560\) | 23.9047 | − | 110.102i | 0.0426870 | − | 0.196611i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 255.880 | − | 534.964i | 0.455303 | − | 0.951893i | ||||
\(563\) | 146.204 | 0.259688 | 0.129844 | − | 0.991534i | \(-0.458552\pi\) | ||||
0.129844 | + | 0.991534i | \(0.458552\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 70.9561i | − | 0.125586i | ||||||
\(566\) | 47.9038 | − | 100.152i | 0.0846358 | − | 0.176946i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −148.098 | − | 625.874i | −0.260736 | − | 1.10189i | ||||
\(569\) | 703.306 | 1.23604 | 0.618019 | − | 0.786163i | \(-0.287935\pi\) | ||||
0.618019 | + | 0.786163i | \(0.287935\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −643.806 | −1.12751 | −0.563753 | − | 0.825943i | \(-0.690643\pi\) | ||||
−0.563753 | + | 0.825943i | \(0.690643\pi\) | |||||||
\(572\) | 131.465 | − | 105.985i | 0.229833 | − | 0.185288i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −210.141 | − | 100.513i | −0.366099 | − | 0.175110i | ||||
\(575\) | 233.954i | 0.406876i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 350.872 | 0.608097 | 0.304049 | − | 0.952657i | \(-0.401661\pi\) | ||||
0.304049 | + | 0.952657i | \(0.401661\pi\) | |||||||
\(578\) | 475.068 | − | 993.216i | 0.821917 | − | 1.71837i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 123.367 | + | 153.025i | 0.212701 | + | 0.263837i | ||||
\(581\) | − | 661.283i | − | 1.13818i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 188.779i | 0.323806i | ||||||||
\(584\) | 466.733 | − | 110.441i | 0.799200 | − | 0.189112i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 657.848 | + | 314.657i | 1.12261 | + | 0.536958i | ||||
\(587\) | −120.781 | −0.205759 | −0.102879 | − | 0.994694i | \(-0.532806\pi\) | ||||
−0.102879 | + | 0.994694i | \(0.532806\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 185.897i | − | 0.315615i | ||||||
\(590\) | −205.979 | − | 98.5226i | −0.349118 | − | 0.166987i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −68.1890 | − | 14.8047i | −0.115184 | − | 0.0250080i | ||||
\(593\) | −350.072 | −0.590340 | −0.295170 | − | 0.955445i | \(-0.595376\pi\) | ||||
−0.295170 | + | 0.955445i | \(0.595376\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 204.027 | 0.342902 | ||||||||
\(596\) | 429.442 | − | 346.209i | 0.720540 | − | 0.580888i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 136.942 | − | 286.301i | 0.228999 | − | 0.478764i | ||||
\(599\) | 638.722i | 1.06631i | 0.846016 | + | 0.533157i | \(0.178994\pi\) | ||||
−0.846016 | + | 0.533157i | \(0.821006\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −639.359 | −1.06383 | −0.531913 | − | 0.846799i | \(-0.678527\pi\) | ||||
−0.531913 | + | 0.846799i | \(0.678527\pi\) | |||||||
\(602\) | −410.801 | − | 196.491i | −0.682394 | − | 0.326398i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −49.7407 | + | 40.1001i | −0.0823521 | + | 0.0663910i | ||||
\(605\) | 161.890i | 0.267587i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 872.976i | − | 1.43818i | −0.694916 | − | 0.719090i | \(-0.744559\pi\) | ||
0.694916 | − | 0.719090i | \(-0.255441\pi\) | |||||||
\(608\) | 179.072 | + | 138.963i | 0.294527 | + | 0.228557i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −104.704 | + | 218.903i | −0.171646 | + | 0.358858i | ||||
\(611\) | 1190.37 | 1.94824 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 215.160i | − | 0.350995i | −0.984480 | − | 0.175497i | \(-0.943847\pi\) | ||
0.984480 | − | 0.175497i | \(-0.0561534\pi\) | |||||||
\(614\) | 171.910 | − | 359.410i | 0.279984 | − | 0.585358i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −24.6763 | − | 104.284i | −0.0400589 | − | 0.169292i | ||||
\(617\) | −657.172 | −1.06511 | −0.532554 | − | 0.846396i | \(-0.678768\pi\) | ||||
−0.532554 | + | 0.846396i | \(0.678768\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 823.016 | 1.32959 | 0.664795 | − | 0.747026i | \(-0.268519\pi\) | ||||
0.664795 | + | 0.747026i | \(0.268519\pi\) | |||||||
\(620\) | 93.8461 | + | 116.408i | 0.151365 | + | 0.187754i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −706.878 | − | 338.109i | −1.13646 | − | 0.543583i | ||||
\(623\) | 322.560i | 0.517753i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 476.957 | 0.763131 | ||||||||
\(626\) | −272.616 | + | 569.954i | −0.435489 | + | 0.910469i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 476.375 | − | 384.046i | 0.758559 | − | 0.611538i | ||||
\(629\) | − | 126.359i | − | 0.200888i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 870.590i | 1.37970i | 0.723953 | + | 0.689849i | \(0.242323\pi\) | ||||
−0.723953 | + | 0.689849i | \(0.757677\pi\) | |||||||
\(632\) | 204.593 | + | 864.627i | 0.323724 | + | 1.36808i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −214.986 | − | 102.831i | −0.339095 | − | 0.162194i | ||||
\(635\) | 304.764 | 0.479943 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 382.643i | − | 0.600695i | ||||||
\(638\) | 168.658 | + | 80.6715i | 0.264355 | + | 0.126444i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −182.286 | + | 3.38310i | −0.284822 | + | 0.00528609i | ||||
\(641\) | −675.353 | −1.05359 | −0.526797 | − | 0.849991i | \(-0.676607\pi\) | ||||
−0.526797 | + | 0.849991i | \(0.676607\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −94.7253 | −0.147318 | −0.0736589 | − | 0.997283i | \(-0.523468\pi\) | ||||
−0.0736589 | + | 0.997283i | \(0.523468\pi\) | |||||||
\(644\) | −126.406 | − | 156.795i | −0.196283 | − | 0.243471i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −177.113 | + | 370.286i | −0.274168 | + | 0.573199i | ||||
\(647\) | − | 477.571i | − | 0.738131i | −0.929403 | − | 0.369065i | \(-0.879678\pi\) | ||
0.929403 | − | 0.369065i | \(-0.120322\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −217.175 | −0.334631 | ||||||||
\(650\) | −645.744 | − | 308.868i | −0.993452 | − | 0.475181i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 362.862 | + | 450.098i | 0.556537 | + | 0.690334i | ||||
\(653\) | − | 840.259i | − | 1.28677i | −0.765544 | − | 0.643384i | \(-0.777530\pi\) | ||
0.765544 | − | 0.643384i | \(-0.222470\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 304.688i | 0.465173i | ||||||||
\(656\) | −79.9766 | + | 368.363i | −0.121916 | + | 0.561529i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 325.959 | − | 681.477i | 0.495379 | − | 1.03568i | ||||
\(659\) | −167.854 | −0.254710 | −0.127355 | − | 0.991857i | \(-0.540649\pi\) | ||||
−0.127355 | + | 0.991857i | \(0.540649\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 257.248i | − | 0.389179i | −0.980885 | − | 0.194590i | \(-0.937662\pi\) | ||
0.980885 | − | 0.194590i | \(-0.0623375\pi\) | |||||||
\(662\) | −124.689 | + | 260.685i | −0.188352 | + | 0.393785i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1041.33 | + | 246.405i | −1.56826 | + | 0.371092i | ||||
\(665\) | −49.8787 | −0.0750056 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 351.370 | 0.526791 | ||||||||
\(668\) | −903.430 | + | 728.331i | −1.35244 | + | 1.09032i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.20552 | − | 3.44649i | −0.0107545 | − | 0.00514402i | ||||
\(671\) | 230.802i | 0.343967i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 829.748 | 1.23291 | 0.616455 | − | 0.787390i | \(-0.288568\pi\) | ||||
0.616455 | + | 0.787390i | \(0.288568\pi\) | |||||||
\(674\) | 431.504 | − | 902.137i | 0.640213 | − | 1.33848i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 185.162 | + | 229.677i | 0.273909 | + | 0.339759i | ||||
\(677\) | 157.740i | 0.232999i | 0.993191 | + | 0.116500i | \(0.0371674\pi\) | ||||
−0.993191 | + | 0.116500i | \(0.962833\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 367.695i | − | 0.541525i | ||||||
\(680\) | −76.0238 | − | 321.282i | −0.111800 | − | 0.472474i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 128.300 | + | 61.3675i | 0.188123 | + | 0.0899817i | ||||
\(683\) | 443.451 | 0.649269 | 0.324635 | − | 0.945839i | \(-0.394759\pi\) | ||||
0.324635 | + | 0.945839i | \(0.394759\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 254.567i | 0.371631i | ||||||||
\(686\) | −656.127 | − | 313.834i | −0.956453 | − | 0.457484i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −156.345 | + | 720.107i | −0.227246 | + | 1.04667i | ||||
\(689\) | −1085.52 | −1.57551 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 364.887 | 0.528056 | 0.264028 | − | 0.964515i | \(-0.414949\pi\) | ||||
0.264028 | + | 0.964515i | \(0.414949\pi\) | |||||||
\(692\) | −330.878 | + | 266.749i | −0.478147 | + | 0.385475i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −520.654 | + | 1088.52i | −0.750222 | + | 1.56847i | ||||
\(695\) | 118.580i | 0.170618i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −682.600 | −0.979340 | ||||||||
\(698\) | −755.295 | − | 361.267i | −1.08208 | − | 0.517575i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −353.648 | + | 285.105i | −0.505211 | + | 0.407293i | ||||
\(701\) | 835.592i | 1.19200i | 0.802984 | + | 0.596000i | \(0.203244\pi\) | ||||
−0.802984 | + | 0.596000i | \(0.796756\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.8911i | 0.0439418i | ||||||||
\(704\) | −155.022 | + | 77.7159i | −0.220201 | + | 0.110392i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −142.087 | + | 297.058i | −0.201256 | + | 0.420762i | ||||
\(707\) | −786.995 | −1.11315 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 695.967i | − | 0.981617i | −0.871267 | − | 0.490809i | \(-0.836701\pi\) | ||
0.871267 | − | 0.490809i | \(-0.163299\pi\) | |||||||
\(710\) | 98.8212 | − | 206.604i | 0.139185 | − | 0.290991i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 507.938 | − | 120.191i | 0.713396 | − | 0.168808i | ||||
\(713\) | 267.290 | 0.374881 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 60.1313 | 0.0840997 | ||||||||
\(716\) | −403.790 | − | 500.866i | −0.563953 | − | 0.699533i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −118.250 | − | 56.5605i | −0.164694 | − | 0.0787751i | ||||
\(719\) | 214.444i | 0.298253i | 0.988818 | + | 0.149127i | \(0.0476462\pi\) | ||||
−0.988818 | + | 0.149127i | \(0.952354\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 740.603 | 1.02719 | ||||||||
\(722\) | −268.239 | + | 560.803i | −0.371523 | + | 0.776736i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.02008 | + | 1.62856i | −0.00279017 | + | 0.00224939i | ||||
\(725\) | − | 792.505i | − | 1.09311i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 798.004i | − | 1.09767i | −0.835932 | − | 0.548834i | \(-0.815072\pi\) | ||
0.835932 | − | 0.548834i | \(-0.184928\pi\) | |||||||
\(728\) | 599.658 | − | 141.895i | 0.823706 | − | 0.194911i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 154.071 | + | 73.6939i | 0.211056 | + | 0.100951i | ||||
\(731\) | −1334.40 | −1.82545 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 841.501i | 1.14802i | 0.818847 | + | 0.574012i | \(0.194614\pi\) | ||||
−0.818847 | + | 0.574012i | \(0.805386\pi\) | |||||||
\(734\) | 339.982 | + | 162.618i | 0.463190 | + | 0.221550i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −199.806 | + | 257.477i | −0.271475 | + | 0.349833i | ||||
\(737\) | −7.59717 | −0.0103082 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −607.559 | −0.822136 | −0.411068 | − | 0.911605i | \(-0.634844\pi\) | ||||
−0.411068 | + | 0.911605i | \(0.634844\pi\) | |||||||
\(740\) | −15.5947 | − | 19.3438i | −0.0210739 | − | 0.0261403i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −297.249 | + | 621.452i | −0.400605 | + | 0.837537i | ||||
\(743\) | 933.780i | 1.25677i | 0.777902 | + | 0.628385i | \(0.216284\pi\) | ||||
−0.777902 | + | 0.628385i | \(0.783716\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 196.425 | 0.263657 | ||||||||
\(746\) | 721.589 | + | 345.145i | 0.967278 | + | 0.462661i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −197.091 | − | 244.474i | −0.263491 | − | 0.326837i | ||||
\(749\) | 88.3946i | 0.118017i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 588.542i | 0.783678i | 0.920034 | + | 0.391839i | \(0.128161\pi\) | ||||
−0.920034 | + | 0.391839i | \(0.871839\pi\) | |||||||
\(752\) | −1194.58 | − | 259.360i | −1.58854 | − | 0.344894i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −463.881 | + | 969.827i | −0.615227 | + | 1.28624i | ||||
\(755\) | −22.7511 | −0.0301340 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 365.635i | 0.483005i | 0.970400 | + | 0.241503i | \(0.0776402\pi\) | ||||
−0.970400 | + | 0.241503i | \(0.922360\pi\) | |||||||
\(758\) | 320.167 | − | 669.366i | 0.422383 | − | 0.883069i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.5857 | + | 78.5444i | 0.0244548 | + | 0.103348i | ||||
\(761\) | −221.260 | −0.290749 | −0.145374 | − | 0.989377i | \(-0.546439\pi\) | ||||
−0.145374 | + | 0.989377i | \(0.546439\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 743.643 | 0.974631 | ||||||||
\(764\) | 238.432 | − | 192.220i | 0.312084 | − | 0.251597i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 70.5933 | + | 33.7657i | 0.0921584 | + | 0.0440805i | ||||
\(767\) | − | 1248.81i | − | 1.62818i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1313.45 | 1.70800 | 0.854002 | − | 0.520270i | \(-0.174169\pi\) | ||||
0.854002 | + | 0.520270i | \(0.174169\pi\) | |||||||
\(770\) | 16.4657 | − | 34.4246i | 0.0213840 | − | 0.0447072i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −145.092 | − | 179.974i | −0.187943 | − | 0.233127i | ||||
\(773\) | − | 468.140i | − | 0.605614i | −0.953052 | − | 0.302807i | \(-0.902076\pi\) | ||
0.953052 | − | 0.302807i | \(-0.0979238\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 602.865i | − | 0.777891i | ||||||
\(776\) | −579.013 | + | 137.010i | −0.746150 | + | 0.176559i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 215.111 | + | 102.890i | 0.276492 | + | 0.132250i | ||||
\(779\) | 166.876 | 0.214219 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 217.834i | − | 0.278916i | ||||||
\(782\) | −532.411 | − | 254.659i | −0.680833 | − | 0.325651i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −83.3709 | + | 383.997i | −0.106340 | + | 0.489792i | ||||
\(785\) | 217.892 | 0.277569 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1425.09 | 1.81078 | 0.905392 | − | 0.424577i | \(-0.139577\pi\) | ||||
0.905392 | + | 0.424577i | \(0.139577\pi\) | |||||||
\(788\) | 256.069 | − | 206.439i | 0.324960 | − | 0.261978i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −136.519 | + | 285.417i | −0.172808 | + | 0.361287i | ||||
\(791\) | − | 246.281i | − | 0.311354i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1327.17 | −1.67360 | ||||||||
\(794\) | −258.370 | − | 123.582i | −0.325403 | − | 0.155645i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −125.395 | + | 101.091i | −0.157531 | + | 0.126999i | ||||
\(797\) | − | 895.977i | − | 1.12419i | −0.827074 | − | 0.562093i | \(-0.809996\pi\) | ||
0.827074 | − | 0.562093i | \(-0.190004\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 2213.64i | − | 2.77052i | ||||||
\(800\) | 580.732 | + | 450.656i | 0.725915 | + | 0.563320i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 123.380 | − | 257.949i | 0.153841 | − | 0.321632i | ||||
\(803\) | 162.445 | 0.202298 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − | 71.7175i | − | 0.0890900i | ||||||
\(806\) | −352.878 | + | 737.756i | −0.437814 | + | 0.915330i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 293.248 | + | 1239.29i | 0.362930 | + | 1.53377i | ||||
\(809\) | 1034.32 | 1.27852 | 0.639261 | − | 0.768990i | \(-0.279240\pi\) | ||||
0.639261 | + | 0.768990i | \(0.279240\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −197.171 | −0.243121 | −0.121561 | − | 0.992584i | \(-0.538790\pi\) | ||||
−0.121561 | + | 0.992584i | \(0.538790\pi\) | |||||||
\(812\) | 428.193 | + | 531.135i | 0.527331 | + | 0.654107i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.3200 | − | 10.1976i | −0.0261916 | − | 0.0125278i | ||||
\(815\) | 205.873i | 0.252604i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 326.224 | 0.399295 | ||||||||
\(818\) | −249.188 | + | 520.973i | −0.304631 | + | 0.636887i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −104.497 | + | 84.2438i | −0.127435 | + | 0.102736i | ||||
\(821\) | 1568.65i | 1.91065i | 0.295551 | + | 0.955327i | \(0.404497\pi\) | ||||
−0.295551 | + | 0.955327i | \(0.595503\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 965.377i | 1.17300i | 0.809950 | + | 0.586499i | \(0.199494\pi\) | ||||
−0.809950 | + | 0.586499i | \(0.800506\pi\) | |||||||
\(824\) | −275.961 | − | 1166.23i | −0.334904 | − | 1.41533i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −714.933 | − | 341.962i | −0.865536 | − | 0.413997i | ||||
\(827\) | 2.79204 | 0.00337611 | 0.00168805 | − | 0.999999i | \(-0.499463\pi\) | ||||
0.00168805 | + | 0.999999i | \(0.499463\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 1463.39i | − | 1.76524i | −0.470084 | − | 0.882622i | \(-0.655776\pi\) | ||
0.470084 | − | 0.882622i | \(-0.344224\pi\) | |||||||
\(830\) | −343.746 | − | 164.418i | −0.414152 | − | 0.198094i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −446.886 | − | 891.413i | −0.537122 | − | 1.07141i | ||||
\(833\) | −711.571 | −0.854227 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −413.224 | −0.494880 | ||||||||
\(836\) | 48.1832 | + | 59.7670i | 0.0576354 | + | 0.0714916i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 576.719 | − | 1205.73i | 0.688208 | − | 1.43882i | ||||
\(839\) | − | 608.761i | − | 0.725579i | −0.931871 | − | 0.362790i | \(-0.881824\pi\) | ||
0.931871 | − | 0.362790i | \(-0.118176\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −349.244 | −0.415272 | ||||||||
\(842\) | 824.569 | + | 394.402i | 0.979298 | + | 0.468411i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −192.015 | − | 238.177i | −0.227505 | − | 0.282200i | ||||
\(845\) | 105.053i | 0.124323i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 561.903i | 0.663404i | ||||||||
\(848\) | 1089.37 | + | 236.516i | 1.28463 | + | 0.278910i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −574.377 | + | 1200.84i | −0.675737 | + | 1.41275i | ||||
\(851\) | −44.4163 | −0.0521931 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 1450.55i | − | 1.70052i | −0.526361 | − | 0.850261i | \(-0.676444\pi\) | ||
0.526361 | − | 0.850261i | \(-0.323556\pi\) | |||||||
\(854\) | −363.417 | + | 759.790i | −0.425547 | + | 0.889684i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 139.196 | − | 32.9373i | 0.162612 | − | 0.0384782i | ||||
\(857\) | −17.9925 | −0.0209948 | −0.0104974 | − | 0.999945i | \(-0.503341\pi\) | ||||
−0.0104974 | + | 0.999945i | \(0.503341\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −825.824 | −0.961379 | −0.480689 | − | 0.876891i | \(-0.659614\pi\) | ||||
−0.480689 | + | 0.876891i | \(0.659614\pi\) | |||||||
\(860\) | −204.279 | + | 164.687i | −0.237534 | + | 0.191496i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −525.373 | − | 251.293i | −0.609481 | − | 0.291523i | ||||
\(863\) | − | 8.17746i | − | 0.00947562i | −0.999989 | − | 0.00473781i | \(-0.998492\pi\) | ||
0.999989 | − | 0.00473781i | \(-0.00150810\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −151.342 | −0.174962 | ||||||||
\(866\) | 257.455 | − | 538.257i | 0.297292 | − | 0.621544i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 325.730 | + | 404.039i | 0.375265 | + | 0.465483i | ||||
\(869\) | 300.931i | 0.346296i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 43.6856i | − | 0.0501557i | ||||||
\(872\) | −277.094 | − | 1171.02i | −0.317768 | − | 1.34291i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 130.159 | + | 62.2570i | 0.148924 | + | 0.0712322i | ||||
\(875\) | −337.800 | −0.386057 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 1085.59i | − | 1.23784i | −0.785452 | − | 0.618922i | \(-0.787570\pi\) | ||
0.785452 | − | 0.618922i | \(-0.212430\pi\) | |||||||
\(878\) | 743.173 | + | 355.469i | 0.846438 | + | 0.404862i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −60.3440 | − | 13.1015i | −0.0685727 | − | 0.0148881i | ||||
\(881\) | 1072.61 | 1.21749 | 0.608746 | − | 0.793366i | \(-0.291673\pi\) | ||||
0.608746 | + | 0.793366i | \(0.291673\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 279.338 | 0.316351 | 0.158175 | − | 0.987411i | \(-0.449439\pi\) | ||||
0.158175 | + | 0.987411i | \(0.449439\pi\) | |||||||
\(884\) | 1405.79 | − | 1133.32i | 1.59026 | − | 1.28204i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 471.099 | − | 984.917i | 0.531714 | − | 1.11164i | ||||
\(887\) | − | 195.699i | − | 0.220630i | −0.993897 | − | 0.110315i | \(-0.964814\pi\) | ||
0.993897 | − | 0.110315i | \(-0.0351860\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1057.80 | 1.18988 | ||||||||
\(890\) | 167.672 | + | 80.1999i | 0.188396 | + | 0.0901123i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 268.880 | − | 216.767i | 0.301435 | − | 0.243012i | ||||
\(893\) | 541.173i | 0.606016i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 229.094i | − | 0.255971i | ||||||
\(896\) | −632.696 | + | 11.7424i | −0.706134 | + | 0.0131053i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 179.516 | − | 375.310i | 0.199906 | − | 0.417940i | ||||
\(899\) | −905.429 | −1.00715 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2018.66i | 2.24047i | ||||||||
\(902\) | −55.0884 | + | 115.172i | −0.0610736 | + | 0.127686i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −387.821 | + | 91.7685i | −0.429005 | + | 0.101514i | ||||
\(905\) | −0.923975 | −0.00102097 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 420.896 | 0.464053 | 0.232027 | − | 0.972709i | \(-0.425464\pi\) | ||||
0.232027 | + | 0.972709i | \(0.425464\pi\) | |||||||
\(908\) | 12.2571 | + | 15.2038i | 0.0134990 | + | 0.0167443i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 197.950 | + | 94.6819i | 0.217527 | + | 0.104046i | ||||
\(911\) | − | 1331.84i | − | 1.46195i | −0.682404 | − | 0.730975i | \(-0.739066\pi\) | ||
0.682404 | − | 0.730975i | \(-0.260934\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −362.431 | −0.396967 | ||||||||
\(914\) | −638.461 | + | 1334.82i | −0.698535 | + | 1.46041i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −800.675 | + | 645.492i | −0.874099 | + | 0.704685i | ||||
\(917\) | 1057.54i | 1.15326i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 502.618i | − | 0.546918i | −0.961884 | − | 0.273459i | \(-0.911832\pi\) | ||
0.961884 | − | 0.273459i | \(-0.0881679\pi\) | |||||||
\(920\) | −112.934 | + | 26.7231i | −0.122754 | + | 0.0290469i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −111.351 | − | 53.2604i | −0.120771 | − | 0.0577662i | ||||
\(923\) | 1252.60 | 1.35709 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 100.180i | 0.108302i | ||||||||
\(926\) | 1217.91 | + | 582.542i | 1.31524 | + | 0.629096i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 676.830 | − | 872.188i | 0.729342 | − | 0.939857i | ||||
\(929\) | 954.669 | 1.02763 | 0.513816 | − | 0.857901i | \(-0.328232\pi\) | ||||
0.513816 | + | 0.857901i | \(0.328232\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 173.959 | 0.186852 | ||||||||
\(932\) | −901.445 | − | 1118.16i | −0.967215 | − | 1.19974i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −482.819 | + | 1009.42i | −0.516937 | + | 1.08075i | ||||
\(935\) | − | 111.821i | − | 0.119595i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −71.0308 | −0.0758067 | −0.0379033 | − | 0.999281i | \(-0.512068\pi\) | ||||
−0.0379033 | + | 0.999281i | \(0.512068\pi\) | |||||||
\(938\) | −25.0096 | − | 11.9624i | −0.0266627 | − | 0.0127531i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −273.199 | − | 338.879i | −0.290637 | − | 0.360509i | ||||
\(941\) | 1218.28i | 1.29467i | 0.762207 | + | 0.647333i | \(0.224116\pi\) | ||||
−0.762207 | + | 0.647333i | \(0.775884\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 239.941i | 0.254444i | ||||||||
\(944\) | −272.093 | + | 1253.23i | −0.288234 | + | 1.32757i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −107.691 | + | 225.149i | −0.113839 | + | 0.238001i | ||||
\(947\) | 1102.20 | 1.16389 | 0.581944 | − | 0.813229i | \(-0.302292\pi\) | ||||
0.581944 | + | 0.813229i | \(0.302292\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 934.099i | 0.984298i | ||||||||
\(950\) | 140.419 | − | 293.571i | 0.147809 | − | 0.309022i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −263.871 | − | 1115.14i | −0.277175 | − | 1.17136i | ||||
\(953\) | −13.7111 | −0.0143873 | −0.00719365 | − | 0.999974i | \(-0.502290\pi\) | ||||
−0.00719365 | + | 0.999974i | \(0.502290\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 109.058 | 0.114197 | ||||||||
\(956\) | −1363.50 | + | 1099.23i | −1.42625 | + | 1.14982i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 518.341 | + | 247.929i | 0.541066 | + | 0.258799i | ||||
\(959\) | 883.576i | 0.921351i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 272.232 | 0.283280 | ||||||||
\(962\) | 58.6388 | − | 122.595i | 0.0609551 | − | 0.127438i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −618.503 | − | 767.198i | −0.641601 | − | 0.795849i | ||||
\(965\) | − | 82.3193i | − | 0.0853049i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 73.1595i | − | 0.0756561i | −0.999284 | − | 0.0378281i | \(-0.987956\pi\) | ||
0.999284 | − | 0.0378281i | \(-0.0120439\pi\) | |||||||
\(968\) | 884.832 | − | 209.375i | 0.914083 | − | 0.216296i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −191.135 | − | 91.4221i | −0.197046 | − | 0.0942496i | ||||
\(971\) | −924.445 | −0.952055 | −0.476027 | − | 0.879431i | \(-0.657924\pi\) | ||||
−0.476027 | + | 0.879431i | \(0.657924\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 411.577i | 0.422998i | ||||||||
\(974\) | 882.467 | + | 422.096i | 0.906024 | + | 0.433363i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1331.86 | + | 289.165i | 1.36461 | + | 0.296276i | ||||
\(977\) | 1101.28 | 1.12720 | 0.563602 | − | 0.826047i | \(-0.309415\pi\) | ||||
0.563602 | + | 0.826047i | \(0.309415\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 176.786 | 0.180578 | ||||||||
\(980\) | −108.932 | + | 87.8192i | −0.111155 | + | 0.0896114i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 453.835 | − | 948.824i | 0.462154 | − | 0.966216i | ||||
\(983\) | − | 919.615i | − | 0.935519i | −0.883856 | − | 0.467760i | \(-0.845061\pi\) | ||
0.883856 | − | 0.467760i | \(-0.154939\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 117.125 | 0.118908 | ||||||||
\(986\) | 1803.51 | + | 862.642i | 1.82912 | + | 0.874891i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −343.675 | + | 277.065i | −0.347849 | + | 0.280430i | ||||
\(989\) | 469.057i | 0.474274i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1633.57i | 1.64841i | 0.566292 | + | 0.824204i | \(0.308377\pi\) | ||||
−0.566292 | + | 0.824204i | \(0.691623\pi\) | |||||||
\(992\) | 514.870 | − | 663.481i | 0.519023 | − | 0.668831i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 342.998 | − | 717.100i | 0.345069 | − | 0.721428i | ||||
\(995\) | −57.3549 | −0.0576431 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 320.009i | 0.320972i | 0.987038 | + | 0.160486i | \(0.0513061\pi\) | ||||
−0.987038 | + | 0.160486i | \(0.948694\pi\) | |||||||
\(998\) | 592.954 | − | 1239.68i | 0.594143 | − | 1.24216i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 216.3.b.b.163.11 | yes | 16 | |
3.2 | odd | 2 | inner | 216.3.b.b.163.6 | yes | 16 | |
4.3 | odd | 2 | 864.3.b.b.271.8 | 16 | |||
8.3 | odd | 2 | inner | 216.3.b.b.163.12 | yes | 16 | |
8.5 | even | 2 | 864.3.b.b.271.9 | 16 | |||
12.11 | even | 2 | 864.3.b.b.271.10 | 16 | |||
24.5 | odd | 2 | 864.3.b.b.271.7 | 16 | |||
24.11 | even | 2 | inner | 216.3.b.b.163.5 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.b.b.163.5 | ✓ | 16 | 24.11 | even | 2 | inner | |
216.3.b.b.163.6 | yes | 16 | 3.2 | odd | 2 | inner | |
216.3.b.b.163.11 | yes | 16 | 1.1 | even | 1 | trivial | |
216.3.b.b.163.12 | yes | 16 | 8.3 | odd | 2 | inner | |
864.3.b.b.271.7 | 16 | 24.5 | odd | 2 | |||
864.3.b.b.271.8 | 16 | 4.3 | odd | 2 | |||
864.3.b.b.271.9 | 16 | 8.5 | even | 2 | |||
864.3.b.b.271.10 | 16 | 12.11 | even | 2 |