Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(17,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.n (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 145.7 | ||
Character | \(\chi\) | \(=\) | 224.145 |
Dual form | 224.3.n.a.17.7 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.126628 | − | 0.219326i | −0.0422093 | − | 0.0731087i | 0.844149 | − | 0.536109i | \(-0.180106\pi\) |
−0.886358 | + | 0.463000i | \(0.846773\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.78589 | + | 3.09325i | −0.357178 | + | 0.618650i | −0.987488 | − | 0.157693i | \(-0.949594\pi\) |
0.630310 | + | 0.776343i | \(0.282928\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.89466 | + | 6.37346i | −0.413522 | + | 0.910494i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.46793 | − | 7.73868i | 0.496437 | − | 0.859854i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −6.82675 | + | 3.94142i | −0.620613 | + | 0.358311i | −0.777108 | − | 0.629368i | \(-0.783314\pi\) |
0.156494 | + | 0.987679i | \(0.449981\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −18.1529 | −1.39638 | −0.698189 | − | 0.715914i | \(-0.746010\pi\) | ||||
−0.698189 | + | 0.715914i | \(0.746010\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.904575 | 0.0603050 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −8.26180 | + | 4.76995i | −0.485988 | + | 0.280585i | −0.722909 | − | 0.690944i | \(-0.757195\pi\) |
0.236920 | + | 0.971529i | \(0.423862\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −12.4094 | + | 21.4938i | −0.653129 | + | 1.13125i | 0.329231 | + | 0.944250i | \(0.393211\pi\) |
−0.982359 | + | 0.187003i | \(0.940123\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.76441 | − | 0.172184i | 0.0840196 | − | 0.00819925i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.14949 | + | 3.72303i | −0.0934563 | + | 0.161871i | −0.908963 | − | 0.416876i | \(-0.863125\pi\) |
0.815507 | + | 0.578747i | \(0.196458\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.12120 | + | 10.6022i | 0.244848 | + | 0.424089i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.54237 | −0.168236 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 28.3630i | 0.978035i | 0.872274 | + | 0.489017i | \(0.162644\pi\) | ||||
−0.872274 | + | 0.489017i | \(0.837356\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 28.2372 | − | 16.3027i | 0.910876 | − | 0.525895i | 0.0301634 | − | 0.999545i | \(-0.490397\pi\) |
0.880713 | + | 0.473650i | \(0.157064\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.72891 | + | 0.998189i | 0.0523914 | + | 0.0302482i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −14.5452 | − | 20.3362i | −0.415576 | − | 0.581034i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −25.9006 | − | 14.9537i | −0.700017 | − | 0.404155i | 0.107337 | − | 0.994223i | \(-0.465768\pi\) |
−0.807354 | + | 0.590068i | \(0.799101\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.29867 | + | 3.98141i | 0.0589402 | + | 0.102087i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 45.2606i | 1.10392i | 0.833872 | + | 0.551958i | \(0.186119\pi\) | ||||
−0.833872 | + | 0.551958i | \(0.813881\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 24.9109i | − | 0.579323i | −0.957129 | − | 0.289661i | \(-0.906457\pi\) | ||
0.957129 | − | 0.289661i | \(-0.0935427\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 15.9585 | + | 27.6409i | 0.354632 | + | 0.614242i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −44.0432 | − | 25.4284i | −0.937090 | − | 0.541029i | −0.0480430 | − | 0.998845i | \(-0.515298\pi\) |
−0.889047 | + | 0.457816i | \(0.848632\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −32.2419 | − | 36.8979i | −0.657998 | − | 0.753019i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.09235 | + | 1.20802i | 0.0410265 | + | 0.0236867i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 54.3930 | − | 31.4038i | 1.02628 | − | 0.592525i | 0.110365 | − | 0.993891i | \(-0.464798\pi\) |
0.915918 | + | 0.401366i | \(0.131465\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 28.1558i | − | 0.511924i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.28554 | 0.110273 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 37.0048 | + | 64.0942i | 0.627200 | + | 1.08634i | 0.988111 | + | 0.153741i | \(0.0491323\pi\) |
−0.360912 | + | 0.932600i | \(0.617534\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 25.2994 | − | 43.8198i | 0.414743 | − | 0.718357i | −0.580658 | − | 0.814148i | \(-0.697205\pi\) |
0.995401 | + | 0.0957908i | \(0.0305380\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 36.3890 | + | 50.8770i | 0.577604 | + | 0.807571i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 32.4191 | − | 56.1515i | 0.498755 | − | 0.863869i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 108.673 | − | 62.7422i | 1.62198 | − | 0.936451i | 0.635592 | − | 0.772025i | \(-0.280756\pi\) |
0.986389 | − | 0.164426i | \(-0.0525772\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.08875 | 0.0157789 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.33822 | 0.0751863 | 0.0375931 | − | 0.999293i | \(-0.488031\pi\) | ||||
0.0375931 | + | 0.999293i | \(0.488031\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −23.6569 | + | 13.6583i | −0.324067 | + | 0.187100i | −0.653204 | − | 0.757182i | \(-0.726576\pi\) |
0.329137 | + | 0.944282i | \(0.393242\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.55023 | − | 2.68508i | 0.0206697 | − | 0.0358010i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.35941 | − | 54.9191i | −0.0696027 | − | 0.713234i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −51.5380 | + | 89.2664i | −0.652380 | + | 1.12995i | 0.330164 | + | 0.943924i | \(0.392896\pi\) |
−0.982544 | + | 0.186031i | \(0.940437\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −39.6362 | − | 68.6519i | −0.489336 | − | 0.847554i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −51.5695 | −0.621319 | −0.310660 | − | 0.950521i | \(-0.600550\pi\) | ||||
−0.310660 | + | 0.950521i | \(0.600550\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 34.0744i | − | 0.400876i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.22075 | − | 3.59155i | 0.0715029 | − | 0.0412822i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 133.222 | + | 76.9158i | 1.49688 | + | 0.864222i | 0.999994 | − | 0.00359545i | \(-0.00114447\pi\) |
0.496883 | + | 0.867818i | \(0.334478\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 52.5464 | − | 115.697i | 0.577433 | − | 1.27139i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.15123 | − | 4.12877i | −0.0768950 | − | 0.0443953i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −44.3238 | − | 76.7711i | −0.466566 | − | 0.808117i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 47.0436i | − | 0.484986i | −0.970153 | − | 0.242493i | \(-0.922035\pi\) | ||
0.970153 | − | 0.242493i | \(-0.0779651\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 70.4400i | 0.711516i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 74.6727 | + | 129.337i | 0.739333 | + | 1.28056i | 0.952796 | + | 0.303612i | \(0.0981926\pi\) |
−0.213462 | + | 0.976951i | \(0.568474\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 17.1847 | + | 9.92160i | 0.166842 | + | 0.0963262i | 0.581096 | − | 0.813835i | \(-0.302624\pi\) |
−0.414254 | + | 0.910161i | \(0.635957\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.61843 | + | 5.76527i | −0.0249375 | + | 0.0549073i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.91877 | + | 4.57190i | 0.0740072 | + | 0.0427281i | 0.536547 | − | 0.843870i | \(-0.319728\pi\) |
−0.462540 | + | 0.886599i | \(0.653062\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 103.229 | − | 59.5992i | 0.947053 | − | 0.546781i | 0.0548888 | − | 0.998492i | \(-0.482520\pi\) |
0.892164 | + | 0.451711i | \(0.149186\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.57425i | 0.0682365i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −124.011 | −1.09744 | −0.548720 | − | 0.836006i | \(-0.684885\pi\) | ||||
−0.548720 | + | 0.836006i | \(0.684885\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.67752 | − | 13.2979i | −0.0667611 | − | 0.115634i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −81.1059 | + | 140.480i | −0.693213 | + | 1.20068i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.48601 | − | 66.4636i | −0.0545043 | − | 0.558518i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −29.4303 | + | 50.9749i | −0.243226 | + | 0.421280i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.92683 | − | 5.73126i | 0.0807059 | − | 0.0465956i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −133.022 | −1.06417 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 57.6144 | 0.453656 | 0.226828 | − | 0.973935i | \(-0.427164\pi\) | ||||
0.226828 | + | 0.973935i | \(0.427164\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.46361 | + | 3.15441i | −0.0423535 | + | 0.0244528i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −62.1497 | + | 107.646i | −0.474425 | + | 0.821728i | −0.999571 | − | 0.0292837i | \(-0.990677\pi\) |
0.525146 | + | 0.851012i | \(0.324011\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −101.069 | − | 141.308i | −0.759915 | − | 1.06247i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.11216 | − | 14.0507i | 0.0600901 | − | 0.104079i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 84.7404 | + | 146.775i | 0.618543 | + | 1.07135i | 0.989752 | + | 0.142799i | \(0.0456102\pi\) |
−0.371208 | + | 0.928550i | \(0.621056\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −266.497 | −1.91725 | −0.958624 | − | 0.284677i | \(-0.908114\pi\) | ||||
−0.958624 | + | 0.284677i | \(0.908114\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8798i | 0.0913459i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 123.925 | − | 71.5483i | 0.866610 | − | 0.500338i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −87.7339 | − | 50.6532i | −0.605061 | − | 0.349332i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −4.00996 | + | 11.7438i | −0.0272786 | + | 0.0798899i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −26.6902 | − | 15.4096i | −0.179129 | − | 0.103420i | 0.407754 | − | 0.913092i | \(-0.366312\pi\) |
−0.586883 | + | 0.809672i | \(0.699645\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.7448 | + | 20.3425i | 0.0777800 | + | 0.134719i | 0.902292 | − | 0.431126i | \(-0.141884\pi\) |
−0.824512 | + | 0.565845i | \(0.808550\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 85.2473i | 0.557172i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 116.460i | 0.751352i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 63.8147 | + | 110.530i | 0.406463 | + | 0.704015i | 0.994491 | − | 0.104826i | \(-0.0334287\pi\) |
−0.588028 | + | 0.808841i | \(0.700095\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −13.7754 | − | 7.95320i | −0.0866374 | − | 0.0500202i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −17.5065 | − | 24.4766i | −0.108736 | − | 0.152029i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −138.291 | − | 79.8421i | −0.848409 | − | 0.489829i | 0.0117050 | − | 0.999931i | \(-0.496274\pi\) |
−0.860114 | + | 0.510103i | \(0.829607\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.17530 | + | 3.56531i | −0.0374261 | + | 0.0216080i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 142.792i | 0.855042i | 0.904005 | + | 0.427521i | \(0.140613\pi\) | ||||
−0.904005 | + | 0.427521i | \(0.859387\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 160.528 | 0.949869 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 110.889 | + | 192.066i | 0.648474 | + | 1.12319i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −97.8898 | + | 169.550i | −0.565837 | + | 0.980059i | 0.431134 | + | 0.902288i | \(0.358114\pi\) |
−0.996971 | + | 0.0777710i | \(0.975220\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −85.2916 | + | 8.32338i | −0.487380 | + | 0.0475622i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 9.37168 | − | 16.2322i | 0.0529474 | − | 0.0917075i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 129.477 | − | 74.7535i | 0.723334 | − | 0.417617i | −0.0926444 | − | 0.995699i | \(-0.529532\pi\) |
0.815979 | + | 0.578082i | \(0.196199\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −91.2994 | −0.504417 | −0.252208 | − | 0.967673i | \(-0.581157\pi\) | ||||
−0.252208 | + | 0.967673i | \(0.581157\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.8144 | −0.0700242 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 92.5114 | − | 53.4115i | 0.500062 | − | 0.288711i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 37.6008 | − | 65.1265i | 0.201074 | − | 0.348270i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.1486 | − | 28.9506i | 0.0695693 | − | 0.153178i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.9140 | − | 24.0997i | 0.0728480 | − | 0.126176i | −0.827300 | − | 0.561760i | \(-0.810125\pi\) |
0.900148 | + | 0.435583i | \(0.143458\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −121.192 | − | 209.911i | −0.627938 | − | 1.08762i | −0.987965 | − | 0.154678i | \(-0.950566\pi\) |
0.360027 | − | 0.932942i | \(-0.382767\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −16.4207 | −0.0842085 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 94.7050i | 0.480736i | 0.970682 | + | 0.240368i | \(0.0772682\pi\) | ||||
−0.970682 | + | 0.240368i | \(0.922732\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −267.738 | + | 154.579i | −1.34542 | + | 0.776778i | −0.987597 | − | 0.157011i | \(-0.949814\pi\) |
−0.357823 | + | 0.933790i | \(0.616481\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −27.5220 | − | 15.8899i | −0.136926 | − | 0.0790540i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −180.770 | − | 82.1012i | −0.890494 | − | 0.404439i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −140.002 | − | 80.8304i | −0.682938 | − | 0.394295i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 19.2076 | + | 33.2685i | 0.0927903 | + | 0.160717i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 195.644i | − | 0.936094i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 125.864i | − | 0.596514i | −0.954486 | − | 0.298257i | \(-0.903595\pi\) | ||
0.954486 | − | 0.298257i | \(-0.0964052\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.675969 | − | 1.17081i | −0.00317356 | − | 0.00549677i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 77.0556 | + | 44.4881i | 0.358398 | + | 0.206921i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.1679 | + | 227.159i | 0.102156 | + | 1.04682i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.99125 | + | 3.45905i | 0.0273573 | + | 0.0157947i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 149.976 | − | 86.5885i | 0.678623 | − | 0.391803i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 8.94619i | − | 0.0401174i | −0.999799 | − | 0.0200587i | \(-0.993615\pi\) | ||
0.999799 | − | 0.0200587i | \(-0.00638532\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 109.396 | 0.486206 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 136.347 | + | 236.160i | 0.600647 | + | 1.04035i | 0.992723 | + | 0.120419i | \(0.0384237\pi\) |
−0.392076 | + | 0.919933i | \(0.628243\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 165.611 | − | 286.846i | 0.723191 | − | 1.25260i | −0.236523 | − | 0.971626i | \(-0.576008\pi\) |
0.959714 | − | 0.280978i | \(-0.0906588\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.3665 | + | 8.12975i | −0.0492058 | + | 0.0351937i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −79.1185 | + | 137.037i | −0.339564 | + | 0.588143i | −0.984351 | − | 0.176220i | \(-0.943613\pi\) |
0.644786 | + | 0.764363i | \(0.276946\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 157.313 | − | 90.8245i | 0.669416 | − | 0.386487i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 26.1046 | 0.110146 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −48.9981 | −0.205013 | −0.102507 | − | 0.994732i | \(-0.532686\pi\) | ||||
−0.102507 | + | 0.994732i | \(0.532686\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 170.914 | − | 98.6771i | 0.709186 | − | 0.409449i | −0.101574 | − | 0.994828i | \(-0.532388\pi\) |
0.810759 | + | 0.585379i | \(0.199054\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −30.4787 | + | 52.7907i | −0.125427 | + | 0.217246i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 171.715 | − | 33.8367i | 0.700878 | − | 0.138109i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 225.267 | − | 390.175i | 0.912014 | − | 1.57965i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.53014 | + | 11.3105i | 0.0262255 | + | 0.0454239i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 315.497 | 1.25696 | 0.628480 | − | 0.777826i | \(-0.283677\pi\) | ||||
0.628480 | + | 0.777826i | \(0.283677\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 33.8883i | − | 0.133946i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.47341 | + | 4.31478i | −0.0293075 | + | 0.0169207i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −329.533 | − | 190.256i | −1.28223 | − | 0.740296i | −0.304974 | − | 0.952361i | \(-0.598648\pi\) |
−0.977256 | + | 0.212065i | \(0.931981\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 170.281 | − | 121.791i | 0.657454 | − | 0.470234i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 219.492 | + | 126.724i | 0.840967 | + | 0.485532i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 98.1636 | + | 170.024i | 0.373246 | + | 0.646480i | 0.990063 | − | 0.140626i | \(-0.0449116\pi\) |
−0.616817 | + | 0.787106i | \(0.711578\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 224.335i | 0.846547i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 38.9588i | − | 0.145913i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −51.1557 | − | 88.6043i | −0.190170 | − | 0.329384i | 0.755137 | − | 0.655568i | \(-0.227571\pi\) |
−0.945306 | + | 0.326184i | \(0.894237\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 221.981 | + | 128.161i | 0.819118 | + | 0.472918i | 0.850112 | − | 0.526602i | \(-0.176534\pi\) |
−0.0309944 | + | 0.999520i | \(0.509867\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −32.0292 | + | 3.12564i | −0.117323 | + | 0.0114492i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −83.5757 | − | 48.2525i | −0.303912 | − | 0.175464i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 170.372 | − | 98.3646i | 0.615063 | − | 0.355107i | −0.159881 | − | 0.987136i | \(-0.551111\pi\) |
0.774944 | + | 0.632029i | \(0.217778\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 291.358i | − | 1.04429i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −70.2923 | −0.250151 | −0.125075 | − | 0.992147i | \(-0.539917\pi\) | ||||
−0.125075 | + | 0.992147i | \(0.539917\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −148.495 | − | 257.201i | −0.524718 | − | 0.908838i | −0.999586 | − | 0.0287807i | \(-0.990838\pi\) |
0.474868 | − | 0.880057i | \(-0.342496\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −11.2253 | + | 19.4427i | −0.0393869 | + | 0.0682201i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −288.466 | − | 131.014i | −1.00511 | − | 0.456494i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −98.9951 | + | 171.465i | −0.342544 | + | 0.593303i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.3179 | + | 5.95704i | −0.0354567 | + | 0.0204709i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −135.561 | −0.462665 | −0.231333 | − | 0.972875i | \(-0.574309\pi\) | ||||
−0.231333 | + | 0.972875i | \(0.574309\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −264.346 | −0.896087 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 31.0096 | − | 17.9034i | 0.104409 | − | 0.0602808i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 39.0196 | − | 67.5839i | 0.130500 | − | 0.226033i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 158.768 | + | 72.1084i | 0.527470 | + | 0.239563i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 18.9113 | − | 32.7553i | 0.0624136 | − | 0.108103i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 90.3637 | + | 156.515i | 0.296274 | + | 0.513162i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 76.2052 | 0.248225 | 0.124113 | − | 0.992268i | \(-0.460392\pi\) | ||||
0.124113 | + | 0.992268i | \(0.460392\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 5.02541i | − | 0.0162635i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 171.554 | − | 99.0468i | 0.551621 | − | 0.318479i | −0.198154 | − | 0.980171i | \(-0.563495\pi\) |
0.749776 | + | 0.661692i | \(0.230161\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −47.9693 | − | 27.6951i | −0.153257 | − | 0.0884827i | 0.421411 | − | 0.906870i | \(-0.361535\pi\) |
−0.574667 | + | 0.818387i | \(0.694868\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −222.362 | + | 21.6997i | −0.705912 | + | 0.0688881i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 259.080 | + | 149.580i | 0.817289 | + | 0.471862i | 0.849481 | − | 0.527620i | \(-0.176915\pi\) |
−0.0321920 | + | 0.999482i | \(0.510249\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −111.791 | − | 193.627i | −0.350441 | − | 0.606981i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 2.31572i | − | 0.00721409i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 236.770i | − | 0.733034i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −111.117 | − | 192.461i | −0.341900 | − | 0.592188i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −26.1433 | − | 15.0938i | −0.0799490 | − | 0.0461586i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 289.557 | − | 207.101i | 0.880111 | − | 0.629487i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 325.087 | + | 187.689i | 0.982135 | + | 0.567036i | 0.902914 | − | 0.429821i | \(-0.141423\pi\) |
0.0792209 | + | 0.996857i | \(0.474757\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −231.445 | + | 133.625i | −0.695029 | + | 0.401275i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 448.203i | 1.33792i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.99043 | −0.0148084 | −0.00740419 | − | 0.999973i | \(-0.502357\pi\) | ||||
−0.00740419 | + | 0.999973i | \(0.502357\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.7032 | + | 27.1988i | 0.0463222 | + | 0.0802324i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −128.512 | + | 222.589i | −0.376868 | + | 0.652755i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 328.497 | − | 98.6856i | 0.957717 | − | 0.287713i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.94438 | + | 3.36776i | −0.00563588 | + | 0.00976163i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −320.772 | + | 185.198i | −0.924414 | + | 0.533711i | −0.885041 | − | 0.465514i | \(-0.845870\pi\) |
−0.0393734 | + | 0.999225i | \(0.512536\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −25.6801 | −0.0735821 | −0.0367910 | − | 0.999323i | \(-0.511714\pi\) | ||||
−0.0367910 | + | 0.999323i | \(0.511714\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 82.4571 | 0.234921 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −229.938 | + | 132.755i | −0.651383 | + | 0.376076i | −0.788986 | − | 0.614411i | \(-0.789394\pi\) |
0.137603 | + | 0.990487i | \(0.456060\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.53348 | + | 16.5125i | −0.0268549 | + | 0.0465140i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.7559 | + | 9.83871i | −0.0385319 | + | 0.0275594i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −275.228 | + | 476.709i | −0.766651 | + | 1.32788i | 0.172718 | + | 0.984971i | \(0.444745\pi\) |
−0.939369 | + | 0.342908i | \(0.888588\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −127.489 | − | 220.817i | −0.353155 | − | 0.611682i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 14.9068 | 0.0410656 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 97.5689i | − | 0.267312i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −180.099 | + | 103.980i | −0.490732 | + | 0.283324i | −0.724878 | − | 0.688877i | \(-0.758104\pi\) |
0.234146 | + | 0.972201i | \(0.424771\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 350.257 | + | 202.221i | 0.949207 | + | 0.548025i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 42.7018 | + | 437.575i | 0.115099 | + | 1.17945i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −393.539 | − | 227.210i | −1.05507 | − | 0.609142i | −0.131002 | − | 0.991382i | \(-0.541820\pi\) |
−0.924063 | + | 0.382240i | \(0.875153\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 16.8443 | + | 29.1751i | 0.0449180 | + | 0.0778003i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 514.871i | − | 1.36570i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 373.244i | 0.984813i | 0.870365 | + | 0.492406i | \(0.163883\pi\) | ||||
−0.870365 | + | 0.492406i | \(0.836117\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.29559 | − | 12.6363i | −0.0191485 | − | 0.0331662i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 270.298 | + | 156.056i | 0.705738 | + | 0.407458i | 0.809481 | − | 0.587146i | \(-0.199749\pi\) |
−0.103743 | + | 0.994604i | \(0.533082\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 179.450 | + | 81.5014i | 0.466103 | + | 0.211692i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −192.777 | − | 111.300i | −0.498133 | − | 0.287597i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −439.628 | + | 253.819i | −1.13015 | + | 0.652492i | −0.943973 | − | 0.330024i | \(-0.892943\pi\) |
−0.186177 | + | 0.982516i | \(0.559610\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 41.0120i | − | 0.104890i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 31.4796 | 0.0801007 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −184.082 | − | 318.840i | −0.466031 | − | 0.807190i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 95.6487 | − | 165.668i | 0.240929 | − | 0.417301i | −0.720050 | − | 0.693922i | \(-0.755881\pi\) |
0.960979 | + | 0.276621i | \(0.0892146\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −18.1945 | + | 40.0606i | −0.0456002 | + | 0.100402i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 61.2011 | − | 106.004i | 0.152621 | − | 0.264348i | −0.779569 | − | 0.626316i | \(-0.784562\pi\) |
0.932190 | + | 0.361968i | \(0.117895\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −512.587 | + | 295.942i | −1.27193 | + | 0.734347i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 283.143 | 0.699120 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 235.756 | 0.579254 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.57744 | + | 2.64279i | −0.0111918 | + | 0.00646158i | −0.505585 | − | 0.862777i | \(-0.668723\pi\) |
0.494394 | + | 0.869238i | \(0.335390\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 21.4610 | − | 37.1716i | 0.0522166 | − | 0.0904418i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −515.617 | + | 50.3178i | −1.24847 | + | 0.121835i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 92.0975 | − | 159.517i | 0.221922 | − | 0.384379i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 33.7460 | + | 58.4498i | 0.0809257 | + | 0.140167i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −34.7160 | −0.0828545 | −0.0414272 | − | 0.999142i | \(-0.513190\pi\) | ||||
−0.0414272 | + | 0.999142i | \(0.513190\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 394.337i | 0.936669i | 0.883551 | + | 0.468334i | \(0.155146\pi\) | ||||
−0.883551 | + | 0.468334i | \(0.844854\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −393.564 | + | 227.224i | −0.930412 | + | 0.537173i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −101.144 | − | 58.3956i | −0.237986 | − | 0.137401i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 206.050 | + | 288.088i | 0.482554 | + | 0.674678i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −31.3848 | − | 18.1200i | −0.0731581 | − | 0.0422378i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −215.872 | − | 373.901i | −0.500862 | − | 0.867519i | −1.00000 | 0.000995912i | \(-0.999683\pi\) | |
0.499137 | − | 0.866523i | \(-0.333650\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 318.535i | 0.735647i | 0.929896 | + | 0.367823i | \(0.119897\pi\) | ||||
−0.929896 | + | 0.367823i | \(0.880103\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 25.6565i | 0.0589803i | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −53.3481 | − | 92.4016i | −0.122078 | − | 0.211445i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −532.799 | − | 307.612i | −1.21366 | − | 0.700710i | −0.250109 | − | 0.968218i | \(-0.580467\pi\) |
−0.963556 | + | 0.267508i | \(0.913800\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −429.596 | + | 84.6525i | −0.974141 | + | 0.191956i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −86.4553 | − | 49.9150i | −0.195159 | − | 0.112675i | 0.399237 | − | 0.916848i | \(-0.369275\pi\) |
−0.594395 | + | 0.804173i | \(0.702609\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −475.840 | + | 274.726i | −1.06930 | + | 0.617362i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 7.80515i | 0.0174612i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −75.3168 | −0.167743 | −0.0838717 | − | 0.996477i | \(-0.526729\pi\) | ||||
−0.0838717 | + | 0.996477i | \(0.526729\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −178.391 | − | 308.983i | −0.395546 | − | 0.685105i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.97443 | − | 5.15187i | 0.00656608 | − | 0.0113728i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 264.037 | + | 369.161i | 0.580301 | + | 0.811343i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 104.447 | − | 180.907i | 0.228549 | − | 0.395858i | −0.728830 | − | 0.684695i | \(-0.759935\pi\) |
0.957378 | + | 0.288837i | \(0.0932687\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 37.5281 | − | 21.6669i | 0.0817606 | − | 0.0472045i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 751.461 | 1.63007 | 0.815034 | − | 0.579413i | \(-0.196718\pi\) | ||||
0.815034 | + | 0.579413i | \(0.196718\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.56075 | 0.00769060 | 0.00384530 | − | 0.999993i | \(-0.498776\pi\) | ||||
0.00384530 | + | 0.999993i | \(0.498776\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 25.5426 | − | 14.7470i | 0.0549304 | − | 0.0317141i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 206.945 | − | 358.440i | 0.443138 | − | 0.767537i | −0.554783 | − | 0.831995i | \(-0.687199\pi\) |
0.997920 | + | 0.0644583i | \(0.0205320\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 85.3146 | + | 874.238i | 0.181908 | + | 1.86405i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.1615 | − | 27.9925i | 0.0343131 | − | 0.0594320i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 98.1843 | + | 170.060i | 0.207578 | + | 0.359535i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −303.843 | −0.639669 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 561.240i | − | 1.17660i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 785.798 | − | 453.681i | 1.64050 | − | 0.947142i | 0.659841 | − | 0.751405i | \(-0.270624\pi\) |
0.980657 | − | 0.195737i | \(-0.0627098\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 470.172 | + | 271.454i | 0.977488 | + | 0.564353i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −3.15154 | + | 6.93907i | −0.00652494 | + | 0.0143666i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 145.518 | + | 84.0147i | 0.300037 | + | 0.173226i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 421.452 | + | 729.977i | 0.865405 | + | 1.49893i | 0.866644 | + | 0.498926i | \(0.166272\pi\) |
−0.00123943 | + | 0.999999i | \(0.500395\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 40.4410i | 0.0827014i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 144.126i | − | 0.293535i | −0.989171 | − | 0.146768i | \(-0.953113\pi\) | ||
0.989171 | − | 0.146768i | \(-0.0468870\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −135.290 | − | 234.329i | −0.274422 | − | 0.475313i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −217.889 | − | 125.798i | −0.440179 | − | 0.254138i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −15.4523 | + | 34.0229i | −0.0310912 | + | 0.0684566i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 330.101 | + | 190.584i | 0.661526 | + | 0.381932i | 0.792858 | − | 0.609406i | \(-0.208592\pi\) |
−0.131332 | + | 0.991338i | \(0.541926\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 31.3180 | − | 18.0815i | 0.0625110 | − | 0.0360908i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 936.429i | − | 1.86169i | −0.365418 | − | 0.930843i | \(-0.619074\pi\) | ||
0.365418 | − | 0.930843i | \(-0.380926\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −533.429 | −1.05629 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.3273 | − | 35.2080i | −0.0400933 | − | 0.0694437i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 167.592 | − | 290.278i | 0.329258 | − | 0.570291i | −0.653107 | − | 0.757265i | \(-0.726535\pi\) |
0.982365 | + | 0.186975i | \(0.0598682\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.5721 | − | 190.312i | −0.0363446 | − | 0.372431i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 56.3682 | − | 97.6327i | 0.109880 | − | 0.190317i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −61.3800 | + | 35.4378i | −0.119185 | + | 0.0688112i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 400.896 | 0.775427 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 49.5824 | 0.0955345 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −421.675 | + | 243.454i | −0.809357 | + | 0.467283i | −0.846733 | − | 0.532019i | \(-0.821434\pi\) |
0.0373754 | + | 0.999301i | \(0.488100\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 86.3132 | − | 149.499i | 0.165035 | − | 0.285849i | −0.771633 | − | 0.636068i | \(-0.780560\pi\) |
0.936668 | + | 0.350220i | \(0.113893\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.6258 | + | 17.6527i | 0.0240492 | + | 0.0336242i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −155.527 | + | 269.380i | −0.295117 | + | 0.511157i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 255.259 | + | 442.122i | 0.482532 | + | 0.835770i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 661.339 | 1.24546 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 821.611i | − | 1.54148i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −28.2841 | + | 16.3298i | −0.0528675 | + | 0.0305230i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −32.7908 | − | 18.9318i | −0.0610629 | − | 0.0352547i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 365.538 | + | 124.814i | 0.678178 | + | 0.231566i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 500.736 | + | 289.100i | 0.925574 | + | 0.534381i | 0.885409 | − | 0.464812i | \(-0.153878\pi\) |
0.0401652 | + | 0.999193i | \(0.487212\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 11.5611 | + | 20.0244i | 0.0212911 | + | 0.0368773i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 425.750i | 0.781193i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 454.579i | 0.831040i | 0.909584 | + | 0.415520i | \(0.136400\pi\) | ||||
−0.909584 | + | 0.415520i | \(0.863600\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −226.071 | − | 391.567i | −0.411788 | − | 0.713237i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −609.629 | − | 351.969i | −1.10640 | − | 0.638783i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −419.751 | − | 586.871i | −0.759043 | − | 1.06125i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −23.4291 | − | 13.5268i | −0.0422145 | − | 0.0243726i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 25.2401 | − | 14.5724i | 0.0453143 | − | 0.0261622i | −0.477172 | − | 0.878810i | \(-0.658338\pi\) |
0.522486 | + | 0.852648i | \(0.325005\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 452.205i | 0.808953i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −19.0453 | −0.0339488 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −514.005 | − | 890.283i | −0.912975 | − | 1.58132i | −0.809839 | − | 0.586652i | \(-0.800446\pi\) |
−0.103136 | − | 0.994667i | \(-0.532888\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 221.469 | − | 383.596i | 0.391981 | − | 0.678931i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 552.283 | − | 53.8959i | 0.974044 | − | 0.0950544i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 409.852 | − | 709.885i | 0.720303 | − | 1.24760i | −0.240576 | − | 0.970630i | \(-0.577336\pi\) |
0.960878 | − | 0.276971i | \(-0.0893305\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −140.820 | + | 81.3023i | −0.246620 | + | 0.142386i | −0.618215 | − | 0.786009i | \(-0.712144\pi\) |
0.371596 | + | 0.928395i | \(0.378811\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −7.04760 | −0.0122995 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −52.6299 | −0.0915303 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 131.878 | − | 76.1400i | 0.228559 | − | 0.131958i | −0.381348 | − | 0.924431i | \(-0.624540\pi\) |
0.609907 | + | 0.792473i | \(0.291207\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −30.6926 | + | 53.1611i | −0.0530097 | + | 0.0918154i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 149.276 | − | 328.676i | 0.256930 | − | 0.565708i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −247.551 | + | 428.772i | −0.424617 | + | 0.735457i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −289.692 | − | 501.762i | −0.495201 | − | 0.857713i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 894.404 | 1.52369 | 0.761843 | − | 0.647761i | \(-0.224295\pi\) | ||||
0.761843 | + | 0.647761i | \(0.224295\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 809.232i | 1.37391i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 20.7713 | − | 11.9923i | 0.0351460 | − | 0.0202916i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 164.729 | + | 95.1064i | 0.277789 | + | 0.160382i | 0.632422 | − | 0.774624i | \(-0.282061\pi\) |
−0.354633 | + | 0.935006i | \(0.615394\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 217.172 | + | 98.6338i | 0.364995 | + | 0.165771i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 67.8064 | + | 39.1480i | 0.113579 | + | 0.0655746i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −146.832 | − | 254.320i | −0.245128 | − | 0.424574i | 0.717040 | − | 0.697033i | \(-0.245497\pi\) |
−0.962168 | + | 0.272458i | \(0.912163\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 597.574i | − | 0.994299i | −0.867665 | − | 0.497150i | \(-0.834380\pi\) | ||
0.867665 | − | 0.497150i | \(-0.165620\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 1121.31i | − | 1.85956i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −105.119 | − | 182.071i | −0.173750 | − | 0.300944i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.6620 | + | 6.15569i | 0.0175650 | + | 0.0101412i | 0.508757 | − | 0.860910i | \(-0.330105\pi\) |
−0.491192 | + | 0.871051i | \(0.663439\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.88366 | + | 50.0440i | 0.00801915 | + | 0.0821740i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 799.512 | + | 461.599i | 1.30853 | + | 0.755481i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −118.897 | + | 68.6451i | −0.193959 | + | 0.111982i | −0.593835 | − | 0.804587i | \(-0.702387\pi\) |
0.399876 | + | 0.916569i | \(0.369053\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 40.9416i | 0.0665717i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 290.516 | 0.470853 | 0.235427 | − | 0.971892i | \(-0.424351\pi\) | ||||
0.235427 | + | 0.971892i | \(0.424351\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 51.1586 | + | 88.6092i | 0.0826471 | + | 0.143149i | 0.904386 | − | 0.426715i | \(-0.140329\pi\) |
−0.821739 | + | 0.569864i | \(0.806996\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.76379 | − | 16.9114i | 0.0157227 | − | 0.0272325i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −875.851 | + | 626.440i | −1.40586 | + | 1.00552i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 84.5320 | − | 146.414i | 0.135251 | − | 0.234262i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −42.9098 | + | 24.7740i | −0.0684366 | + | 0.0395119i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 285.315 | 0.453600 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 562.739 | 0.891820 | 0.445910 | − | 0.895078i | \(-0.352880\pi\) | ||||
0.445910 | + | 0.895078i | \(0.352880\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −27.6054 | + | 15.9380i | −0.0436104 | + | 0.0251785i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −102.893 | + | 178.216i | −0.162036 | + | 0.280655i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 585.284 | + | 669.805i | 0.918814 | + | 1.05150i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 23.8508 | − | 41.3108i | 0.0373252 | − | 0.0646492i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 376.275 | + | 651.727i | 0.587012 | + | 1.01673i | 0.994621 | + | 0.103578i | \(0.0330291\pi\) |
−0.407610 | + | 0.913156i | \(0.633638\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −253.143 | −0.393690 | −0.196845 | − | 0.980435i | \(-0.563070\pi\) | ||||
−0.196845 | + | 0.980435i | \(0.563070\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 22.5337i | − | 0.0349360i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −485.492 | + | 280.299i | −0.750374 | + | 0.433229i | −0.825829 | − | 0.563921i | \(-0.809292\pi\) |
0.0754551 | + | 0.997149i | \(0.475959\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −505.244 | − | 291.703i | −0.778497 | − | 0.449465i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 47.0149 | − | 33.6267i | 0.0722195 | − | 0.0516539i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −602.396 | − | 347.793i | −0.922505 | − | 0.532609i | −0.0380717 | − | 0.999275i | \(-0.512122\pi\) |
−0.884433 | + | 0.466666i | \(0.845455\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −221.985 | − | 384.489i | −0.338908 | − | 0.587007i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 244.097i | 0.371533i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 323.387i | − | 0.490724i | −0.969432 | − | 0.245362i | \(-0.921093\pi\) | ||
0.969432 | − | 0.245362i | \(-0.0789068\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.5168 | − | 26.8758i | −0.0234747 | − | 0.0406593i | 0.854049 | − | 0.520192i | \(-0.174140\pi\) |
−0.877524 | + | 0.479533i | \(0.840806\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −37.9822 | − | 21.9291i | −0.0572884 | − | 0.0330755i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 617.600 | − | 60.2699i | 0.928721 | − | 0.0906315i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −105.596 | − | 60.9661i | −0.158315 | − | 0.0914035i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.96213 | + | 1.13284i | −0.00293293 | + | 0.00169333i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 398.862i | 0.594429i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1011.75 | 1.50334 | 0.751670 | − | 0.659539i | \(-0.229249\pi\) | ||||
0.751670 | + | 0.659539i | \(0.229249\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −27.8047 | − | 48.1592i | −0.0411922 | − | 0.0713469i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 34.7377 | − | 60.1674i | 0.0513112 | − | 0.0888736i | −0.839229 | − | 0.543778i | \(-0.816993\pi\) |
0.890540 | + | 0.454905i | \(0.150327\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 299.831 | + | 136.175i | 0.441577 | + | 0.200553i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 34.5307 | − | 59.8089i | 0.0507058 | − | 0.0878251i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −824.530 | + | 476.042i | −1.20722 | + | 0.696987i | −0.962150 | − | 0.272519i | \(-0.912143\pi\) |
−0.245067 | + | 0.969506i | \(0.578810\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −605.348 | −0.883720 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −83.8839 | −0.122102 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −987.391 | + | 570.070i | −1.43308 | + | 0.827388i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −34.0754 | + | 59.0204i | −0.0493132 | + | 0.0854130i | −0.889628 | − | 0.456685i | \(-0.849037\pi\) |
0.840315 | + | 0.542098i | \(0.182370\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −448.947 | − | 203.900i | −0.647831 | − | 0.294228i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 475.935 | − | 824.343i | 0.684798 | − | 1.18611i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −215.891 | − | 373.934i | −0.309743 | − | 0.536490i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 40.0745 | 0.0573311 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 1.67276i | − | 0.00238625i | −0.999999 | − | 0.00119312i | \(-0.999620\pi\) | ||
0.999999 | − | 0.00119312i | \(-0.000379783\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 642.825 | − | 371.135i | 0.914403 | − | 0.527931i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −39.8404 | − | 23.0019i | −0.0565112 | − | 0.0326267i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1040.47 | + | 101.537i | −1.47168 | + | 0.143617i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −45.7969 | − | 26.4408i | −0.0645936 | − | 0.0372931i | 0.467355 | − | 0.884070i | \(-0.345207\pi\) |
−0.531949 | + | 0.846776i | \(0.678540\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 460.536 | + | 797.673i | 0.647731 | + | 1.12190i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 140.171i | 0.196593i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 511.109i | 0.714838i | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.20454 | + | 10.7466i | 0.00865347 | + | 0.0149882i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 824.178 | + | 475.840i | 1.14628 | + | 0.661808i | 0.947979 | − | 0.318333i | \(-0.103123\pi\) |
0.198305 | + | 0.980140i | \(0.436456\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −112.979 | + | 80.8064i | −0.156697 | + | 0.112075i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −43.2849 | − | 24.9906i | −0.0598685 | − | 0.0345651i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −300.711 | + | 173.615i | −0.414774 | + | 0.239470i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 1061.98i | − | 1.46078i | −0.683032 | − | 0.730388i | \(-0.739339\pi\) | ||
0.683032 | − | 0.730388i | \(-0.260661\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −698.013 | −0.957494 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 118.824 | + | 205.809i | 0.162550 | + | 0.281544i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.148102 | − | 0.256519i | 0.000202048 | − | 0.000349958i | −0.865924 | − | 0.500175i | \(-0.833269\pi\) |
0.866126 | + | 0.499825i | \(0.166602\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −29.1652 | − | 33.3769i | −0.0396806 | − | 0.0454108i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −494.588 | + | 856.651i | −0.671082 | + | 1.16235i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 176.276 | − | 101.773i | 0.238533 | − | 0.137717i | −0.375969 | − | 0.926632i | \(-0.622690\pi\) |
0.614502 | + | 0.788915i | \(0.289357\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −114.101 | −0.153982 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1142.13 | −1.53718 | −0.768592 | − | 0.639739i | \(-0.779042\pi\) | ||||
−0.768592 | + | 0.639739i | \(0.779042\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 95.3315 | − | 55.0397i | 0.127962 | − | 0.0738788i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −230.409 | + | 399.080i | −0.308446 | + | 0.534244i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −52.0610 | + | 37.2358i | −0.0695073 | + | 0.0497141i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −396.068 | + | 686.010i | −0.527387 | + | 0.913462i | 0.472103 | + | 0.881543i | \(0.343495\pi\) |
−0.999490 | + | 0.0319185i | \(0.989838\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −39.9508 | − | 69.1967i | −0.0530554 | − | 0.0918947i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −83.8995 | −0.111125 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1179.34i | 1.55792i | 0.627076 | + | 0.778958i | \(0.284252\pi\) | ||||
−0.627076 | + | 0.778958i | \(0.715748\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.43259 | + | 4.29121i | −0.00979260 | + | 0.00565376i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 197.869 | + | 114.240i | 0.260011 | + | 0.150118i | 0.624340 | − | 0.781153i | \(-0.285368\pi\) |
−0.364328 | + | 0.931271i | \(0.618701\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 81.0408 | + | 830.443i | 0.106213 | + | 1.08839i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −263.691 | − | 152.242i | −0.344694 | − | 0.199009i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −671.744 | − | 1163.49i | −0.875807 | − | 1.51694i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 83.4232i | 0.108483i | 0.998528 | + | 0.0542414i | \(0.0172740\pi\) | ||||
−0.998528 | + | 0.0542414i | \(0.982726\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 96.3670i | 0.124990i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 285.318 | + | 494.186i | 0.369105 | + | 0.639309i | 0.989426 | − | 0.145039i | \(-0.0463309\pi\) |
−0.620321 | + | 0.784348i | \(0.712998\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 345.691 | + | 199.585i | 0.446052 | + | 0.257528i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −48.2742 | − | 21.9249i | −0.0621289 | − | 0.0282173i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −972.822 | − | 561.659i | −1.24881 | − | 0.721000i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.4427 | + | 21.0402i | −0.0466616 | + | 0.0269401i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 128.835i | − | 0.164540i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −455.864 | −0.580718 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 382.719 | + | 662.888i | 0.486301 | + | 0.842298i | 0.999876 | − | 0.0157470i | \(-0.00501262\pi\) |
−0.513575 | + | 0.858045i | \(0.671679\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 24.8605 | − | 43.0597i | 0.0315089 | − | 0.0545750i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 358.968 | − | 790.377i | 0.453816 | − | 0.999212i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −459.257 | + | 795.456i | −0.579138 | + | 1.00310i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 49.2025 | − | 28.4071i | 0.0618900 | − | 0.0357322i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −577.729 | −0.724880 | −0.362440 | − | 0.932007i | \(-0.618056\pi\) | ||||
−0.362440 | + | 0.932007i | \(0.618056\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 485.168 | 0.607220 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1190.45 | − | 687.309i | 1.48621 | − | 0.858063i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 107.666 | − | 186.484i | 0.134080 | − | 0.232234i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 106.977 | − | 10.4396i | 0.132891 | − | 0.0129685i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −12.9555 | + | 22.4396i | −0.0160539 | + | 0.0278062i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 41.4824 | + | 71.8496i | 0.0512761 | + | 0.0888128i | 0.890524 | − | 0.454936i | \(-0.150338\pi\) |
−0.839248 | + | 0.543749i | \(0.817004\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −525.164 | −0.647552 | −0.323776 | − | 0.946134i | \(-0.604952\pi\) | ||||
−0.323776 | + | 0.946134i | \(0.604952\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 64.9150i | − | 0.0798462i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 493.944 | − | 285.178i | 0.606066 | − | 0.349912i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 535.429 | + | 309.130i | 0.655360 | + | 0.378372i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −660.567 | − | 923.565i | −0.806553 | − | 1.12767i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 506.369 | + | 292.352i | 0.616771 | + | 0.356093i | 0.775611 | − | 0.631211i | \(-0.217442\pi\) |
−0.158840 | + | 0.987304i | \(0.550775\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 590.484 | + | 1022.75i | 0.717478 | + | 1.24271i | 0.961996 | + | 0.273063i | \(0.0880368\pi\) |
−0.244518 | + | 0.969645i | \(0.578630\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 24.4405i | 0.0296248i | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 336.806i | − | 0.407262i | −0.979048 | − | 0.203631i | \(-0.934726\pi\) | ||
0.979048 | − | 0.203631i | \(-0.0652743\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −184.145 | − | 318.949i | −0.222130 | − | 0.384740i | 0.733325 | − | 0.679878i | \(-0.237967\pi\) |
−0.955454 | + | 0.295139i | \(0.904634\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −43.1479 | − | 24.9114i | −0.0519228 | − | 0.0299777i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 442.378 | + | 151.051i | 0.531066 | + | 0.181334i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −441.692 | − | 255.011i | −0.528972 | − | 0.305402i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −128.264 | + | 74.0530i | −0.153242 | + | 0.0884743i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 709.889i | 0.846113i | 0.906103 | + | 0.423056i | \(0.139043\pi\) | ||||
−0.906103 | + | 0.423056i | \(0.860957\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 36.5402 | 0.0434485 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8.90098 | + | 15.4169i | 0.0105587 | + | 0.0182882i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −286.685 | + | 496.553i | −0.339272 | + | 0.587637i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −239.695 | − | 335.128i | −0.282993 | − | 0.395664i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −37.6073 | + | 65.1377i | −0.0442960 | + | 0.0767229i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 111.347 | − | 64.2860i | 0.130842 | − | 0.0755417i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1136.65 | −1.33253 | −0.666267 | − | 0.745713i | \(-0.732109\pi\) | ||||
−0.666267 | + | 0.745713i | \(0.732109\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −792.143 | −0.926483 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 578.645 | − | 334.081i | 0.675198 | − | 0.389826i | −0.122845 | − | 0.992426i | \(-0.539202\pi\) |
0.798043 | + | 0.602600i | \(0.205869\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 100.378 | − | 173.859i | 0.116854 | − | 0.202397i | −0.801665 | − | 0.597773i | \(-0.796052\pi\) |
0.918519 | + | 0.395376i | \(0.129386\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.79316 | + | 79.8582i | 0.00905129 | + | 0.0927506i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.7855 | − | 37.7337i | 0.0252440 | − | 0.0437238i | −0.853127 | − | 0.521703i | \(-0.825297\pi\) |
0.878371 | + | 0.477979i | \(0.158630\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −349.641 | − | 605.596i | −0.404209 | − | 0.700111i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 50.1422 | 0.0578342 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 812.533i | − | 0.935020i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1972.73 | + | 1138.95i | −2.26490 | + | 1.30764i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −364.056 | − | 210.188i | −0.417017 | − | 0.240765i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 385.052 | − | 847.808i | 0.440059 | − | 0.968923i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 129.242 | + | 74.6180i | 0.147368 | + | 0.0850832i | 0.571871 | − | 0.820343i | \(-0.306218\pi\) |
−0.424503 | + | 0.905427i | \(0.639551\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 17.1658 | + | 29.7321i | 0.0195288 | + | 0.0338249i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 865.257i | − | 0.982130i | −0.871123 | − | 0.491065i | \(-0.836608\pi\) | ||
0.871123 | − | 0.491065i | \(-0.163392\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1476.24i | 1.67184i | 0.548850 | + | 0.835921i | \(0.315066\pi\) | ||||
−0.548850 | + | 0.835921i | \(0.684934\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 33.4736 | + | 57.9779i | 0.0378233 | + | 0.0655118i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 518.166 | + | 299.163i | 0.584178 | + | 0.337275i | 0.762792 | − | 0.646644i | \(-0.223828\pi\) |
−0.178614 | + | 0.983919i | \(0.557161\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −166.774 | + | 367.203i | −0.187597 | + | 0.413051i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 541.172 | + | 312.446i | 0.607376 | + | 0.350669i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1093.10 | − | 631.104i | 1.22408 | − | 0.706723i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 534.006i | 0.596655i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −19.7639 | −0.0220333 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 462.395 | + | 800.891i | 0.514343 | + | 0.890869i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −299.589 | + | 518.904i | −0.332508 | + | 0.575920i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.28926 | − | 43.9530i | −0.00475001 | − | 0.0486744i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 163.051 | − | 282.412i | 0.180167 | − | 0.312058i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1463.00 | − | 844.666i | 1.61301 | − | 0.931274i | 0.624348 | − | 0.781146i | \(-0.285365\pi\) |
0.988667 | − | 0.150128i | \(-0.0479687\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1334.53 | 1.46813 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 813.339 | 0.892798 | 0.446399 | − | 0.894834i | \(-0.352706\pi\) | ||||
0.446399 | + | 0.894834i | \(0.352706\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 352.052 | − | 203.257i | 0.385599 | − | 0.222626i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 22.8852 | − | 39.6382i | 0.0250111 | − | 0.0433205i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −506.178 | − | 707.708i | −0.551993 | − | 0.771764i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 751.489 | − | 1301.62i | 0.817724 | − | 1.41634i | −0.0896310 | − | 0.995975i | \(-0.528569\pi\) |
0.907355 | − | 0.420365i | \(-0.138098\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −9.64971 | − | 16.7138i | −0.0104774 | − | 0.0181474i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −96.9043 | −0.104988 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 366.139i | − | 0.395826i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 153.560 | − | 88.6581i | 0.165653 | − | 0.0956398i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1301.71 | − | 751.543i | −1.40120 | − | 0.808981i | −0.406681 | − | 0.913570i | \(-0.633314\pi\) |
−0.994515 | + | 0.104589i | \(0.966647\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1193.18 | − | 235.118i | 1.28161 | − | 0.252543i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −43.4471 | − | 25.0842i | −0.0465671 | − | 0.0268855i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 134.302 | + | 232.618i | 0.143638 | + | 0.248789i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 419.349i | 0.447545i | 0.974641 | + | 0.223772i | \(0.0718372\pi\) | ||||
−0.974641 | + | 0.223772i | \(0.928163\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.0279i | 0.0149392i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 261.680 | + | 453.243i | 0.278087 | + | 0.481661i | 0.970909 | − | 0.239448i | \(-0.0769664\pi\) |
−0.692822 | + | 0.721108i | \(0.743633\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −168.507 | − | 97.2874i | −0.178692 | − | 0.103168i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 66.0695 | + | 92.3744i | 0.0699148 | + | 0.0977507i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 311.949 | + | 180.104i | 0.329408 | + | 0.190184i | 0.655578 | − | 0.755127i | \(-0.272425\pi\) |
−0.326170 | + | 0.945311i | \(0.605758\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 429.441 | − | 247.938i | 0.452520 | − | 0.261262i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 75.7642i | − | 0.0796679i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1242.81 | 1.30410 | 0.652051 | − | 0.758175i | \(-0.273909\pi\) | ||||
0.652051 | + | 0.758175i | \(0.273909\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 49.6976 | + | 86.0789i | 0.0520394 | + | 0.0901349i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −28.3116 | + | 49.0372i | −0.0295838 | + | 0.0512406i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1180.76 | + | 115.227i | −1.23124 | + | 0.120153i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 51.0585 | − | 88.4359i | 0.0531306 | − | 0.0920248i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 70.7610 | − | 40.8539i | 0.0734798 | − | 0.0424236i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 865.742 | 0.897142 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −81.8793 | −0.0846735 | −0.0423368 | − | 0.999103i | \(-0.513480\pi\) | ||||
−0.0423368 | + | 0.999103i | \(0.513480\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −51.9298 | + | 29.9817i | −0.0535912 | + | 0.0309409i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −409.052 | + | 708.499i | −0.421269 | + | 0.729660i | −0.996064 | − | 0.0886380i | \(-0.971749\pi\) |
0.574795 | + | 0.818298i | \(0.305082\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 771.419 | − | 1698.51i | 0.792825 | − | 1.74564i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −28.1412 | + | 48.7419i | −0.0288627 | + | 0.0499917i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −448.155 | − | 776.227i | −0.458705 | − | 0.794500i | 0.540188 | − | 0.841544i | \(-0.318353\pi\) |
−0.998893 | + | 0.0470441i | \(0.985020\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1212.63 | −1.23864 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 1065.14i | − | 1.08577i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −852.404 | + | 492.136i | −0.867146 | + | 0.500647i | −0.866399 | − | 0.499353i | \(-0.833571\pi\) |
−0.000746983 | 1.00000i | \(0.500238\pi\) | ||||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −292.947 | − | 169.133i | −0.297408 | − | 0.171708i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −82.0887 | − | 37.2825i | −0.0831699 | − | 0.0377736i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 92.7440 | + | 53.5458i | 0.0937756 | + | 0.0541414i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −612.037 | − | 1060.08i | −0.617596 | − | 1.06971i | −0.989923 | − | 0.141606i | \(-0.954774\pi\) |
0.372327 | − | 0.928101i | \(-0.378560\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 95.0667i | − | 0.0957368i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 1104.24i | − | 1.10979i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 186.825 | + | 323.590i | 0.187387 | + | 0.324563i | 0.944378 | − | 0.328861i | \(-0.106665\pi\) |
−0.756991 | + | 0.653425i | \(0.773332\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 117.650 | + | 67.9254i | 0.117768 | + | 0.0679934i |
(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 | 224.3.n.a.145.7 | 28 | ||
4.3 | odd | 2 | 56.3.j.a.5.12 | yes | 28 | ||
7.2 | even | 3 | 1568.3.h.a.881.15 | 28 | |||
7.3 | odd | 6 | inner | 224.3.n.a.17.8 | 28 | ||
7.5 | odd | 6 | 1568.3.h.a.881.13 | 28 | |||
8.3 | odd | 2 | 56.3.j.a.5.2 | ✓ | 28 | ||
8.5 | even | 2 | inner | 224.3.n.a.145.8 | 28 | ||
28.3 | even | 6 | 56.3.j.a.45.2 | yes | 28 | ||
28.11 | odd | 6 | 392.3.j.e.325.2 | 28 | |||
28.19 | even | 6 | 392.3.h.a.293.14 | 28 | |||
28.23 | odd | 6 | 392.3.h.a.293.13 | 28 | |||
28.27 | even | 2 | 392.3.j.e.117.12 | 28 | |||
56.3 | even | 6 | 56.3.j.a.45.12 | yes | 28 | ||
56.5 | odd | 6 | 1568.3.h.a.881.16 | 28 | |||
56.11 | odd | 6 | 392.3.j.e.325.12 | 28 | |||
56.19 | even | 6 | 392.3.h.a.293.15 | 28 | |||
56.27 | even | 2 | 392.3.j.e.117.2 | 28 | |||
56.37 | even | 6 | 1568.3.h.a.881.14 | 28 | |||
56.45 | odd | 6 | inner | 224.3.n.a.17.7 | 28 | ||
56.51 | odd | 6 | 392.3.h.a.293.16 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.j.a.5.2 | ✓ | 28 | 8.3 | odd | 2 | ||
56.3.j.a.5.12 | yes | 28 | 4.3 | odd | 2 | ||
56.3.j.a.45.2 | yes | 28 | 28.3 | even | 6 | ||
56.3.j.a.45.12 | yes | 28 | 56.3 | even | 6 | ||
224.3.n.a.17.7 | 28 | 56.45 | odd | 6 | inner | ||
224.3.n.a.17.8 | 28 | 7.3 | odd | 6 | inner | ||
224.3.n.a.145.7 | 28 | 1.1 | even | 1 | trivial | ||
224.3.n.a.145.8 | 28 | 8.5 | even | 2 | inner | ||
392.3.h.a.293.13 | 28 | 28.23 | odd | 6 | |||
392.3.h.a.293.14 | 28 | 28.19 | even | 6 | |||
392.3.h.a.293.15 | 28 | 56.19 | even | 6 | |||
392.3.h.a.293.16 | 28 | 56.51 | odd | 6 | |||
392.3.j.e.117.2 | 28 | 56.27 | even | 2 | |||
392.3.j.e.117.12 | 28 | 28.27 | even | 2 | |||
392.3.j.e.325.2 | 28 | 28.11 | odd | 6 | |||
392.3.j.e.325.12 | 28 | 56.11 | odd | 6 | |||
1568.3.h.a.881.13 | 28 | 7.5 | odd | 6 | |||
1568.3.h.a.881.14 | 28 | 56.37 | even | 6 | |||
1568.3.h.a.881.15 | 28 | 7.2 | even | 3 | |||
1568.3.h.a.881.16 | 28 | 56.5 | odd | 6 |