Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1764,2,Mod(1567,1764)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1764, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1764.1567");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1764 = 2^{2} \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1764.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: | \(14.0856109166\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 84) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1567.6 | ||
Root | \(0.856419 + 1.12541i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1764.1567 |
Dual form | 1764.2.b.i.1567.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1764\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(883\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.856419 | + | 1.12541i | 0.605580 | + | 0.795785i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.533092 | + | 1.92764i | −0.266546 | + | 0.963822i | ||||
\(5\) | 3.85529i | 1.72414i | 0.506791 | + | 0.862069i | \(0.330831\pi\) | ||||
−0.506791 | + | 0.862069i | \(0.669169\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.62594 | + | 1.05092i | −0.928410 | + | 0.371558i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.33878 | + | 3.30174i | −1.37204 | + | 1.04410i | ||||
\(11\) | 1.36225i | 0.410735i | 0.978685 | + | 0.205367i | \(0.0658389\pi\) | ||||
−0.978685 | + | 0.205367i | \(0.934161\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.369798i | 0.102563i | 0.998684 | + | 0.0512817i | \(0.0163306\pi\) | ||||
−0.998684 | + | 0.0512817i | \(0.983669\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.43162 | − | 2.05523i | −0.857906 | − | 0.513806i | ||||
\(17\) | 4.50164i | 1.09181i | 0.837848 | + | 0.545904i | \(0.183814\pi\) | ||||
−0.837848 | + | 0.545904i | \(0.816186\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0661849 | −0.0151839 | −0.00759193 | − | 0.999971i | \(-0.502417\pi\) | ||||
−0.00759193 | + | 0.999971i | \(0.502417\pi\) | |||||||
\(20\) | −7.43162 | − | 2.05523i | −1.66176 | − | 0.459562i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.53309 | + | 1.16666i | −0.326856 | + | 0.248733i | ||||
\(23\) | − | 3.20894i | − | 0.669110i | −0.942376 | − | 0.334555i | \(-0.891414\pi\) | ||
0.942376 | − | 0.334555i | \(-0.108586\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −9.86325 | −1.97265 | ||||||||
\(26\) | −0.416174 | + | 0.316702i | −0.0816184 | + | 0.0621103i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.11951 | 0.579278 | 0.289639 | − | 0.957136i | \(-0.406465\pi\) | ||||
0.289639 | + | 0.957136i | \(0.406465\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.03705 | 1.08429 | 0.542143 | − | 0.840286i | \(-0.317613\pi\) | ||||
0.542143 | + | 0.840286i | \(0.317613\pi\) | |||||||
\(32\) | −0.625940 | − | 5.62212i | −0.110652 | − | 0.993859i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.06618 | + | 3.85529i | −0.868844 | + | 0.661177i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.49186 | −0.902856 | −0.451428 | − | 0.892307i | \(-0.649085\pi\) | ||||
−0.451428 | + | 0.892307i | \(0.649085\pi\) | |||||||
\(38\) | −0.0566820 | − | 0.0744851i | −0.00919504 | − | 0.0120831i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.05162 | − | 10.1238i | −0.640617 | − | 1.60071i | ||||
\(41\) | 8.45017i | 1.31970i | 0.751399 | + | 0.659848i | \(0.229379\pi\) | ||||
−0.751399 | + | 0.659848i | \(0.770621\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 6.30324i | − | 0.961236i | −0.876930 | − | 0.480618i | \(-0.840412\pi\) | ||
0.876930 | − | 0.480618i | \(-0.159588\pi\) | |||||||
\(44\) | −2.62594 | − | 0.726207i | −0.395875 | − | 0.109480i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.61137 | − | 2.74820i | 0.532468 | − | 0.405200i | ||||
\(47\) | −1.42568 | −0.207956 | −0.103978 | − | 0.994580i | \(-0.533157\pi\) | ||||
−0.103978 | + | 0.994580i | \(0.533157\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −8.44708 | − | 11.1002i | −1.19460 | − | 1.56980i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.712838 | − | 0.197136i | −0.0988529 | − | 0.0273379i | ||||
\(53\) | 2.54519 | 0.349608 | 0.174804 | − | 0.984603i | \(-0.444071\pi\) | ||||
0.174804 | + | 0.984603i | \(0.444071\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.25188 | −0.708163 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.67161 | + | 3.51072i | 0.350799 | + | 0.460981i | ||||
\(59\) | 3.43757 | 0.447534 | 0.223767 | − | 0.974643i | \(-0.428165\pi\) | ||||
0.223767 | + | 0.974643i | \(0.428165\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.43181i | 0.183324i | 0.995790 | + | 0.0916621i | \(0.0292180\pi\) | ||||
−0.995790 | + | 0.0916621i | \(0.970782\pi\) | |||||||
\(62\) | 5.17024 | + | 6.79415i | 0.656622 | + | 0.862858i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.79112 | − | 5.51933i | 0.723890 | − | 0.689916i | ||||
\(65\) | −1.42568 | −0.176833 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 9.76735i | − | 1.19327i | −0.802512 | − | 0.596636i | \(-0.796504\pi\) | ||
0.802512 | − | 0.596636i | \(-0.203496\pi\) | |||||||
\(68\) | −8.67756 | − | 2.39979i | −1.05231 | − | 0.291017i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 12.9518i | − | 1.53710i | −0.639792 | − | 0.768549i | \(-0.720979\pi\) | ||
0.639792 | − | 0.768549i | \(-0.279021\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.80161i | 0.210862i | 0.994427 | + | 0.105431i | \(0.0336222\pi\) | ||||
−0.994427 | + | 0.105431i | \(0.966378\pi\) | |||||||
\(74\) | −4.70334 | − | 6.18059i | −0.546752 | − | 0.718479i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0352827 | − | 0.127581i | 0.00404720 | − | 0.0146345i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.4888i | 1.40510i | 0.711636 | + | 0.702548i | \(0.247954\pi\) | ||||
−0.711636 | + | 0.702548i | \(0.752046\pi\) | |||||||
\(80\) | 7.92349 | − | 13.2299i | 0.885873 | − | 1.47915i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.50990 | + | 7.23689i | −1.05019 | + | 0.799181i | ||||
\(83\) | −12.2889 | −1.34888 | −0.674442 | − | 0.738327i | \(-0.735616\pi\) | ||||
−0.674442 | + | 0.738327i | \(0.735616\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −17.3551 | −1.88243 | ||||||||
\(86\) | 7.09373 | − | 5.39822i | 0.764937 | − | 0.582105i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.43162 | − | 3.57719i | −0.152612 | − | 0.381330i | ||||
\(89\) | − | 1.29270i | − | 0.137026i | −0.997650 | − | 0.0685128i | \(-0.978175\pi\) | ||
0.997650 | − | 0.0685128i | \(-0.0218254\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.18569 | + | 1.71066i | 0.644903 | + | 0.178349i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.22098 | − | 1.60447i | −0.125934 | − | 0.165488i | ||||
\(95\) | − | 0.255162i | − | 0.0261791i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.88422i | 0.292848i | 0.989222 | + | 0.146424i | \(0.0467764\pi\) | ||||
−0.989222 | + | 0.146424i | \(0.953224\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.25802 | − | 19.0128i | 0.525802 | − | 1.90128i | ||||
\(101\) | 6.18861i | 0.615790i | 0.951420 | + | 0.307895i | \(0.0996245\pi\) | ||||
−0.951420 | + | 0.307895i | \(0.900376\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 17.7927 | 1.75317 | 0.876583 | − | 0.481251i | \(-0.159818\pi\) | ||||
0.876583 | + | 0.481251i | \(0.159818\pi\) | |||||||
\(104\) | −0.388629 | − | 0.971066i | −0.0381082 | − | 0.0952209i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.17975 | + | 2.86438i | 0.211716 | + | 0.278213i | ||||
\(107\) | 6.09316i | 0.589048i | 0.955644 | + | 0.294524i | \(0.0951611\pi\) | ||||
−0.955644 | + | 0.294524i | \(0.904839\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.86325 | 0.753163 | 0.376581 | − | 0.926384i | \(-0.377100\pi\) | ||||
0.376581 | + | 0.926384i | \(0.377100\pi\) | |||||||
\(110\) | −4.49781 | − | 5.91051i | −0.428849 | − | 0.563545i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.70669 | −0.442768 | −0.221384 | − | 0.975187i | \(-0.571057\pi\) | ||||
−0.221384 | + | 0.975187i | \(0.571057\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.3714 | 1.15364 | ||||||||
\(116\) | −1.66299 | + | 6.01330i | −0.154404 | + | 0.558321i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.94400 | + | 3.86868i | 0.271017 | + | 0.356141i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.14427 | 0.831297 | ||||||||
\(122\) | −1.61137 | + | 1.22623i | −0.145887 | + | 0.111017i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.21830 | + | 11.6373i | −0.289012 | + | 1.04506i | ||||
\(125\) | − | 18.7492i | − | 1.67698i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.70312i | 0.239863i | 0.992782 | + | 0.119931i | \(0.0382675\pi\) | ||||
−0.992782 | + | 0.119931i | \(0.961733\pi\) | |||||||
\(128\) | 11.1711 | + | 1.79052i | 0.987397 | + | 0.158261i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.22098 | − | 1.60447i | −0.107087 | − | 0.140721i | ||||
\(131\) | −7.77288 | −0.679120 | −0.339560 | − | 0.940584i | \(-0.610278\pi\) | ||||
−0.339560 | + | 0.940584i | \(0.610278\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 10.9923 | − | 8.36494i | 0.949587 | − | 0.722621i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.73088 | − | 11.8210i | −0.405670 | − | 1.01364i | ||||
\(137\) | −2.85135 | −0.243608 | −0.121804 | − | 0.992554i | \(-0.538868\pi\) | ||||
−0.121804 | + | 0.992554i | \(0.538868\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.15656 | −0.607011 | −0.303506 | − | 0.952830i | \(-0.598157\pi\) | ||||
−0.303506 | + | 0.952830i | \(0.598157\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.5761 | − | 11.0922i | 1.22320 | − | 0.930835i | ||||
\(143\) | −0.503758 | −0.0421264 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.0266i | 0.998755i | ||||||||
\(146\) | −2.02754 | + | 1.54293i | −0.167801 | + | 0.127694i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.92767 | − | 10.5864i | 0.240653 | − | 0.870193i | ||||
\(149\) | −21.3551 | −1.74948 | −0.874739 | − | 0.484594i | \(-0.838968\pi\) | ||||
−0.874739 | + | 0.484594i | \(0.838968\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.2133i | 1.80770i | 0.427854 | + | 0.903848i | \(0.359270\pi\) | ||||
−0.427854 | + | 0.903848i | \(0.640730\pi\) | |||||||
\(152\) | 0.173798 | − | 0.0695553i | 0.0140968 | − | 0.00564168i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 23.2746i | 1.86946i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.44901i | 0.434879i | 0.976074 | + | 0.217439i | \(0.0697704\pi\) | ||||
−0.976074 | + | 0.217439i | \(0.930230\pi\) | |||||||
\(158\) | −14.0550 | + | 10.6956i | −1.11815 | + | 0.850898i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 21.6749 | − | 2.41318i | 1.71355 | − | 0.190778i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.75680i | 0.372581i | 0.982495 | + | 0.186291i | \(0.0596466\pi\) | ||||
−0.982495 | + | 0.186291i | \(0.940353\pi\) | |||||||
\(164\) | −16.2889 | − | 4.50472i | −1.27195 | − | 0.351760i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.5245 | − | 13.8301i | −0.816857 | − | 1.07342i | ||||
\(167\) | −14.0618 | −1.08814 | −0.544068 | − | 0.839041i | \(-0.683116\pi\) | ||||
−0.544068 | + | 0.839041i | \(0.683116\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.8632 | 0.989481 | ||||||||
\(170\) | −14.8632 | − | 19.5316i | −1.13996 | − | 1.49801i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 12.1504 | + | 3.36021i | 0.926460 | + | 0.256214i | ||||
\(173\) | − | 1.77713i | − | 0.135113i | −0.997715 | − | 0.0675564i | \(-0.978480\pi\) | ||
0.997715 | − | 0.0675564i | \(-0.0215203\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.79974 | − | 4.67474i | 0.211038 | − | 0.352372i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.45481 | − | 1.10709i | 0.109043 | − | 0.0829800i | ||||
\(179\) | − | 3.25172i | − | 0.243045i | −0.992589 | − | 0.121522i | \(-0.961222\pi\) | ||
0.992589 | − | 0.121522i | \(-0.0387776\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 23.5015i | − | 1.74685i | −0.486954 | − | 0.873427i | \(-0.661892\pi\) | ||
0.486954 | − | 0.873427i | \(-0.338108\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.37235 | + | 8.42648i | 0.248613 | + | 0.621208i | ||||
\(185\) | − | 21.1727i | − | 1.55665i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.13237 | −0.448443 | ||||||||
\(188\) | 0.760017 | − | 2.74820i | 0.0554300 | − | 0.200433i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.287162 | − | 0.218526i | 0.0208329 | − | 0.0158535i | ||||
\(191\) | 23.8972i | 1.72914i | 0.502511 | + | 0.864571i | \(0.332410\pi\) | ||||
−0.502511 | + | 0.864571i | \(0.667590\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.8751 | 1.43064 | 0.715322 | − | 0.698795i | \(-0.246280\pi\) | ||||
0.715322 | + | 0.698795i | \(0.246280\pi\) | |||||||
\(194\) | −3.24593 | + | 2.47010i | −0.233044 | + | 0.177343i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −19.0198 | −1.35511 | −0.677553 | − | 0.735474i | \(-0.736959\pi\) | ||||
−0.677553 | + | 0.735474i | \(0.736959\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.8514 | −1.05278 | −0.526392 | − | 0.850242i | \(-0.676456\pi\) | ||||
−0.526392 | + | 0.850242i | \(0.676456\pi\) | |||||||
\(200\) | 25.9003 | − | 10.3655i | 1.83143 | − | 0.732954i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.96472 | + | 5.30004i | −0.490036 | + | 0.372910i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −32.5779 | −2.27534 | ||||||||
\(206\) | 15.2380 | + | 20.0241i | 1.06168 | + | 1.39514i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.760017 | − | 1.26901i | 0.0526977 | − | 0.0879898i | ||||
\(209\) | − | 0.0901606i | − | 0.00623654i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.6676i | 1.35398i | 0.735994 | + | 0.676988i | \(0.236715\pi\) | ||||
−0.735994 | + | 0.676988i | \(0.763285\pi\) | |||||||
\(212\) | −1.35682 | + | 4.90621i | −0.0931867 | + | 0.336960i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.85730 | + | 5.21830i | −0.468755 | + | 0.356716i | ||||
\(215\) | 24.3008 | 1.65730 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 6.73424 | + | 8.84937i | 0.456100 | + | 0.599355i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.79974 | − | 10.1238i | 0.188758 | − | 0.682543i | ||||
\(221\) | −1.66469 | −0.111979 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.10323 | −0.542633 | −0.271316 | − | 0.962490i | \(-0.587459\pi\) | ||||
−0.271316 | + | 0.962490i | \(0.587459\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.03090 | − | 5.29696i | −0.268132 | − | 0.352348i | ||||
\(227\) | 12.0860 | 0.802175 | 0.401088 | − | 0.916040i | \(-0.368632\pi\) | ||||
0.401088 | + | 0.916040i | \(0.368632\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.7826i | 1.57160i | 0.618482 | + | 0.785799i | \(0.287748\pi\) | ||||
−0.618482 | + | 0.785799i | \(0.712252\pi\) | |||||||
\(230\) | 10.5951 | + | 13.9229i | 0.698620 | + | 0.918047i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.19164 | + | 3.27837i | −0.537808 | + | 0.215235i | ||||
\(233\) | 19.9294 | 1.30562 | 0.652810 | − | 0.757521i | \(-0.273590\pi\) | ||||
0.652810 | + | 0.757521i | \(0.273590\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | − | 5.49639i | − | 0.358545i | ||||||
\(236\) | −1.83254 | + | 6.62642i | −0.119288 | + | 0.431343i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 9.60993i | − | 0.621615i | −0.950473 | − | 0.310807i | \(-0.899401\pi\) | ||
0.950473 | − | 0.310807i | \(-0.100599\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.4083i | 0.670458i | 0.942137 | + | 0.335229i | \(0.108814\pi\) | ||||
−0.942137 | + | 0.335229i | \(0.891186\pi\) | |||||||
\(242\) | 7.83132 | + | 10.2910i | 0.503417 | + | 0.661533i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.76002 | − | 0.763286i | −0.176692 | − | 0.0488644i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 0.0244750i | − | 0.00155731i | ||||||
\(248\) | −15.8529 | + | 6.34448i | −1.00666 | + | 0.402875i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 21.1006 | − | 16.0572i | 1.33452 | − | 1.01555i | ||||
\(251\) | 20.6860 | 1.30569 | 0.652846 | − | 0.757491i | \(-0.273575\pi\) | ||||
0.652846 | + | 0.757491i | \(0.273575\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.37139 | 0.274827 | ||||||||
\(254\) | −3.04211 | + | 2.31500i | −0.190879 | + | 0.145256i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.55210 | + | 14.1055i | 0.472006 | + | 0.881595i | ||||
\(257\) | 17.7514i | 1.10730i | 0.832749 | + | 0.553651i | \(0.186766\pi\) | ||||
−0.832749 | + | 0.553651i | \(0.813234\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.760017 | − | 2.74820i | 0.0471343 | − | 0.170436i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.65684 | − | 8.74767i | −0.411261 | − | 0.540433i | ||||
\(263\) | − | 2.08124i | − | 0.128335i | −0.997939 | − | 0.0641675i | \(-0.979561\pi\) | ||
0.997939 | − | 0.0641675i | \(-0.0204392\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.81243i | 0.602773i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 18.8280 | + | 5.20690i | 1.15010 | + | 0.318062i | ||||
\(269\) | 3.55735i | 0.216895i | 0.994102 | + | 0.108448i | \(0.0345880\pi\) | ||||
−0.994102 | + | 0.108448i | \(0.965412\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.3680 | −0.751301 | −0.375650 | − | 0.926761i | \(-0.622581\pi\) | ||||
−0.375650 | + | 0.926761i | \(0.622581\pi\) | |||||||
\(272\) | 9.25188 | − | 15.4479i | 0.560978 | − | 0.936668i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.44195 | − | 3.20894i | −0.147524 | − | 0.193859i | ||||
\(275\) | − | 13.4362i | − | 0.810236i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.8632 | −0.712794 | −0.356397 | − | 0.934335i | \(-0.615995\pi\) | ||||
−0.356397 | + | 0.934335i | \(0.615995\pi\) | |||||||
\(278\) | −6.12901 | − | 8.05406i | −0.367594 | − | 0.483050i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.3428 | 1.15390 | 0.576948 | − | 0.816781i | \(-0.304244\pi\) | ||||
0.576948 | + | 0.816781i | \(0.304244\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 24.9413 | 1.48261 | 0.741304 | − | 0.671169i | \(-0.234208\pi\) | ||||
0.741304 | + | 0.671169i | \(0.234208\pi\) | |||||||
\(284\) | 24.9665 | + | 6.90451i | 1.48149 | + | 0.409707i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.431428 | − | 0.566934i | −0.0255109 | − | 0.0335235i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.26474 | −0.192044 | ||||||||
\(290\) | −13.5349 | + | 10.2998i | −0.794794 | + | 0.604826i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.47286 | − | 0.960423i | −0.203234 | − | 0.0562045i | ||||
\(293\) | 6.88234i | 0.402071i | 0.979584 | + | 0.201035i | \(0.0644306\pi\) | ||||
−0.979584 | + | 0.201035i | \(0.935569\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.2528i | 0.771610i | ||||||||
\(296\) | 14.4213 | − | 5.77153i | 0.838221 | − | 0.335463i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.2889 | − | 24.0332i | −1.05945 | − | 1.39221i | ||||
\(299\) | 1.18666 | 0.0686262 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −24.9991 | + | 19.0239i | −1.43854 | + | 1.09470i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.227122 | + | 0.136025i | 0.0130263 | + | 0.00780156i | ||||
\(305\) | −5.52003 | −0.316076 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4213 | 0.994286 | 0.497143 | − | 0.867669i | \(-0.334382\pi\) | ||||
0.497143 | + | 0.867669i | \(0.334382\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −26.1934 | + | 19.9328i | −1.48769 | + | 1.13211i | ||||
\(311\) | 25.1161 | 1.42420 | 0.712101 | − | 0.702077i | \(-0.247744\pi\) | ||||
0.712101 | + | 0.702077i | \(0.247744\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 22.0965i | − | 1.24897i | −0.781038 | − | 0.624484i | \(-0.785309\pi\) | ||
0.781038 | − | 0.624484i | \(-0.214691\pi\) | |||||||
\(314\) | −6.13237 | + | 4.66664i | −0.346070 | + | 0.263354i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −24.0739 | − | 6.65767i | −1.35426 | − | 0.374523i | ||||
\(317\) | 1.62327 | 0.0911718 | 0.0455859 | − | 0.998960i | \(-0.485485\pi\) | ||||
0.0455859 | + | 0.998960i | \(0.485485\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.24956i | 0.237930i | ||||||||
\(320\) | 21.2786 | + | 22.3264i | 1.18951 | + | 1.24809i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 0.297941i | − | 0.0165779i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 3.64741i | − | 0.202322i | ||||||
\(326\) | −5.35335 | + | 4.07381i | −0.296494 | + | 0.225628i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.88049 | − | 22.1896i | −0.490343 | − | 1.22522i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.6677i | 1.46579i | 0.680342 | + | 0.732894i | \(0.261831\pi\) | ||||
−0.680342 | + | 0.732894i | \(0.738169\pi\) | |||||||
\(332\) | 6.55113 | − | 23.6887i | 0.359540 | − | 1.30009i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.0428 | − | 15.8253i | −0.658953 | − | 0.865921i | ||||
\(335\) | 37.6559 | 2.05736 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 29.8426 | 1.62563 | 0.812815 | − | 0.582522i | \(-0.197934\pi\) | ||||
0.812815 | + | 0.582522i | \(0.197934\pi\) | |||||||
\(338\) | 11.0163 | + | 14.4764i | 0.599210 | + | 0.787414i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.25188 | − | 33.4545i | 0.501754 | − | 1.81432i | ||||
\(341\) | 8.22399i | 0.445354i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.62423 | + | 16.5519i | 0.357155 | + | 0.892421i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.00000 | − | 1.52197i | 0.107521 | − | 0.0818216i | ||||
\(347\) | 0.947375i | 0.0508578i | 0.999677 | + | 0.0254289i | \(0.00809514\pi\) | ||||
−0.999677 | + | 0.0254289i | \(0.991905\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 6.41788i | − | 0.343541i | −0.985137 | − | 0.171771i | \(-0.945051\pi\) | ||
0.985137 | − | 0.171771i | \(-0.0549488\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.65875 | − | 0.852688i | 0.408213 | − | 0.0454484i | ||||
\(353\) | 13.8733i | 0.738401i | 0.929350 | + | 0.369200i | \(0.120368\pi\) | ||||
−0.929350 | + | 0.369200i | \(0.879632\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 49.9330 | 2.65017 | ||||||||
\(356\) | 2.49186 | + | 0.689127i | 0.132068 | + | 0.0365237i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.65951 | − | 2.78483i | 0.193411 | − | 0.147183i | ||||
\(359\) | − | 6.92820i | − | 0.365657i | −0.983145 | − | 0.182828i | \(-0.941475\pi\) | ||
0.983145 | − | 0.182828i | \(-0.0585252\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9956 | −0.999769 | ||||||||
\(362\) | 26.4488 | − | 20.1272i | 1.39012 | − | 1.05786i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.94571 | −0.363555 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −19.3181 | −1.00839 | −0.504197 | − | 0.863588i | \(-0.668212\pi\) | ||||
−0.504197 | + | 0.863588i | \(0.668212\pi\) | |||||||
\(368\) | −6.59509 | + | 11.0119i | −0.343793 | + | 0.574034i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 23.8280 | − | 18.1327i | 1.23876 | − | 0.942675i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.2766 | 0.583882 | 0.291941 | − | 0.956436i | \(-0.405699\pi\) | ||||
0.291941 | + | 0.956436i | \(0.405699\pi\) | |||||||
\(374\) | −5.25188 | − | 6.90143i | −0.271568 | − | 0.356864i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.74374 | − | 1.49828i | 0.193069 | − | 0.0772678i | ||||
\(377\) | 1.15359i | 0.0594128i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 25.1457i | − | 1.29165i | −0.763486 | − | 0.645824i | \(-0.776514\pi\) | ||
0.763486 | − | 0.645824i | \(-0.223486\pi\) | |||||||
\(380\) | 0.491862 | + | 0.136025i | 0.0252320 | + | 0.00697793i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −26.8942 | + | 20.4660i | −1.37602 | + | 1.04713i | ||||
\(383\) | 17.7645 | 0.907724 | 0.453862 | − | 0.891072i | \(-0.350046\pi\) | ||||
0.453862 | + | 0.891072i | \(0.350046\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 17.0215 | + | 22.3677i | 0.866369 | + | 1.13848i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.55975 | − | 1.53756i | −0.282254 | − | 0.0780576i | ||||
\(389\) | −14.1447 | −0.717163 | −0.358581 | − | 0.933498i | \(-0.616739\pi\) | ||||
−0.358581 | + | 0.933498i | \(0.616739\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.4455 | 0.730539 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.2889 | − | 21.4051i | −0.820624 | − | 1.07837i | ||||
\(395\) | −48.1478 | −2.42258 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 12.6507i | − | 0.634919i | −0.948272 | − | 0.317460i | \(-0.897170\pi\) | ||
0.948272 | − | 0.317460i | \(-0.102830\pi\) | |||||||
\(398\) | −12.7190 | − | 16.7139i | −0.637545 | − | 0.837790i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 33.8470 | + | 20.2712i | 1.69235 | + | 1.01356i | ||||
\(401\) | 24.7808 | 1.23749 | 0.618747 | − | 0.785591i | \(-0.287641\pi\) | ||||
0.618747 | + | 0.785591i | \(0.287641\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.23249i | 0.111208i | ||||||||
\(404\) | −11.9294 | − | 3.29910i | −0.593512 | − | 0.164136i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 7.48131i | − | 0.370835i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.79664i | 0.286625i | 0.989677 | + | 0.143313i | \(0.0457754\pi\) | ||||
−0.989677 | + | 0.143313i | \(0.954225\pi\) | |||||||
\(410\) | −27.9003 | − | 36.6634i | −1.37790 | − | 1.81068i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.48515 | + | 34.2980i | −0.467300 | + | 1.68974i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 47.3774i | − | 2.32566i | ||||||
\(416\) | 2.07905 | − | 0.231471i | 0.101934 | − | 0.0113488i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.101468 | − | 0.0772153i | 0.00496294 | − | 0.00377672i | ||||
\(419\) | −2.42966 | −0.118697 | −0.0593484 | − | 0.998237i | \(-0.518902\pi\) | ||||
−0.0593484 | + | 0.998237i | \(0.518902\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −25.9373 | −1.26411 | −0.632054 | − | 0.774924i | \(-0.717788\pi\) | ||||
−0.632054 | + | 0.774924i | \(0.717788\pi\) | |||||||
\(422\) | −22.1341 | + | 16.8437i | −1.07747 | + | 0.819940i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.68350 | + | 2.67480i | −0.324580 | + | 0.129900i | ||||
\(425\) | − | 44.4008i | − | 2.15375i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −11.7454 | − | 3.24822i | −0.567738 | − | 0.157009i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 20.8117 | + | 27.3484i | 1.00363 | + | 1.31886i | ||||
\(431\) | − | 14.7548i | − | 0.710715i | −0.934730 | − | 0.355358i | \(-0.884359\pi\) | ||
0.934730 | − | 0.355358i | \(-0.115641\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 35.7396i | 1.71754i | 0.512364 | + | 0.858769i | \(0.328770\pi\) | ||||
−0.512364 | + | 0.858769i | \(0.671230\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.19184 | + | 15.1575i | −0.200753 | + | 0.725915i | ||||
\(437\) | 0.212383i | 0.0101597i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.8385 | −0.946840 | −0.473420 | − | 0.880837i | \(-0.656981\pi\) | ||||
−0.473420 | + | 0.880837i | \(0.656981\pi\) | |||||||
\(440\) | 13.7911 | − | 5.51933i | 0.657466 | − | 0.263124i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.42568 | − | 1.87346i | −0.0678125 | − | 0.0891116i | ||||
\(443\) | − | 18.9807i | − | 0.901800i | −0.892574 | − | 0.450900i | \(-0.851103\pi\) | ||
0.892574 | − | 0.450900i | \(-0.148897\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.98372 | 0.236251 | ||||||||
\(446\) | −6.93976 | − | 9.11945i | −0.328607 | − | 0.431819i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 25.2845 | 1.19325 | 0.596626 | − | 0.802520i | \(-0.296508\pi\) | ||||
0.596626 | + | 0.802520i | \(0.296508\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.5113 | −0.542045 | ||||||||
\(452\) | 2.50910 | − | 9.07283i | 0.118018 | − | 0.426750i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 10.3507 | + | 13.6017i | 0.485781 | + | 0.638359i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.9674 | 1.07437 | 0.537186 | − | 0.843464i | \(-0.319487\pi\) | ||||
0.537186 | + | 0.843464i | \(0.319487\pi\) | |||||||
\(458\) | −26.7651 | + | 20.3679i | −1.25065 | + | 0.951728i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.59509 | + | 23.8476i | −0.307498 | + | 1.11190i | ||||
\(461\) | − | 2.95838i | − | 0.137786i | −0.997624 | − | 0.0688928i | \(-0.978053\pi\) | ||
0.997624 | − | 0.0688928i | \(-0.0219466\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.30669i | 0.153675i | 0.997044 | + | 0.0768374i | \(0.0244822\pi\) | ||||
−0.997044 | + | 0.0768374i | \(0.975518\pi\) | |||||||
\(464\) | −10.7050 | − | 6.41129i | −0.496966 | − | 0.297637i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.0679 | + | 22.4288i | 0.790657 | + | 1.03899i | ||||
\(467\) | −11.9056 | −0.550927 | −0.275464 | − | 0.961311i | \(-0.588831\pi\) | ||||
−0.275464 | + | 0.961311i | \(0.588831\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 6.18569 | − | 4.70722i | 0.285325 | − | 0.217128i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.02686 | + | 3.61263i | −0.415495 | + | 0.166285i | ||||
\(473\) | 8.58661 | 0.394813 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.652798 | 0.0299524 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.8151 | − | 8.23013i | 0.494671 | − | 0.376437i | ||||
\(479\) | 11.9037 | 0.543895 | 0.271947 | − | 0.962312i | \(-0.412332\pi\) | ||||
0.271947 | + | 0.962312i | \(0.412332\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 2.03088i | − | 0.0926000i | ||||||
\(482\) | −11.7136 | + | 8.91387i | −0.533540 | + | 0.406016i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.87474 | + | 17.6269i | −0.221579 | + | 0.801222i | ||||
\(485\) | −11.1195 | −0.504911 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.50730i | 0.340188i | 0.985428 | + | 0.170094i | \(0.0544072\pi\) | ||||
−0.985428 | + | 0.170094i | \(0.945593\pi\) | |||||||
\(488\) | −1.50472 | − | 3.75984i | −0.0681156 | − | 0.170200i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.0031i | 0.992988i | 0.868040 | + | 0.496494i | \(0.165380\pi\) | ||||
−0.868040 | + | 0.496494i | \(0.834620\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.0429i | 0.632460i | ||||||||
\(494\) | 0.0275444 | − | 0.0209609i | 0.00123928 | − | 0.000943075i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −20.7169 | − | 12.4075i | −0.930215 | − | 0.557113i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 1.41194i | − | 0.0632070i | −0.999500 | − | 0.0316035i | \(-0.989939\pi\) | ||
0.999500 | − | 0.0316035i | \(-0.0100614\pi\) | |||||||
\(500\) | 36.1418 | + | 9.99507i | 1.61631 | + | 0.446993i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 17.7159 | + | 23.2803i | 0.790700 | + | 1.03905i | ||||
\(503\) | −26.2303 | −1.16955 | −0.584775 | − | 0.811196i | \(-0.698817\pi\) | ||||
−0.584775 | + | 0.811196i | \(0.698817\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.8589 | −1.06171 | ||||||||
\(506\) | 3.74374 | + | 4.91960i | 0.166430 | + | 0.218703i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.21065 | − | 1.44101i | −0.231185 | − | 0.0639345i | ||||
\(509\) | 5.06243i | 0.224388i | 0.993686 | + | 0.112194i | \(0.0357878\pi\) | ||||
−0.993686 | + | 0.112194i | \(0.964212\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −9.40673 | + | 20.5794i | −0.415723 | + | 0.909491i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −19.9776 | + | 15.2026i | −0.881173 | + | 0.670559i | ||||
\(515\) | 68.5959i | 3.02270i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 1.94213i | − | 0.0854149i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.74374 | − | 1.49828i | 0.164174 | − | 0.0657038i | ||||
\(521\) | − | 9.93093i | − | 0.435082i | −0.976051 | − | 0.217541i | \(-0.930196\pi\) | ||
0.976051 | − | 0.217541i | \(-0.0698036\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.3373 | −1.37028 | −0.685142 | − | 0.728409i | \(-0.740260\pi\) | ||||
−0.685142 | + | 0.728409i | \(0.740260\pi\) | |||||||
\(524\) | 4.14366 | − | 14.9833i | 0.181017 | − | 0.654550i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.34225 | − | 1.78242i | 0.102127 | − | 0.0777171i | ||||
\(527\) | 27.1766i | 1.18383i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.7027 | 0.552292 | ||||||||
\(530\) | −11.0430 | + | 8.40355i | −0.479677 | + | 0.365027i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.12485 | −0.135352 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.4909 | −1.01560 | ||||||||
\(536\) | 10.2647 | + | 25.6485i | 0.443369 | + | 1.10784i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.00347 | + | 3.04658i | −0.172602 | + | 0.131347i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.18626 | −0.179982 | −0.0899908 | − | 0.995943i | \(-0.528684\pi\) | ||||
−0.0899908 | + | 0.995943i | \(0.528684\pi\) | |||||||
\(542\) | −10.5922 | − | 13.9190i | −0.454973 | − | 0.597874i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 25.3087 | − | 2.81775i | 1.08510 | − | 0.120810i | ||||
\(545\) | 30.3151i | 1.29856i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 12.4674i | − | 0.533067i | −0.963826 | − | 0.266533i | \(-0.914122\pi\) | ||
0.963826 | − | 0.266533i | \(-0.0858782\pi\) | |||||||
\(548\) | 1.52003 | − | 5.49639i | 0.0649327 | − | 0.234794i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 15.1213 | − | 11.5071i | 0.644773 | − | 0.490663i | ||||
\(551\) | −0.206464 | −0.00879568 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −10.1599 | − | 13.3510i | −0.431653 | − | 0.567230i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.81511 | − | 13.7953i | 0.161797 | − | 0.585051i | ||||
\(557\) | 36.5487 | 1.54862 | 0.774309 | − | 0.632807i | \(-0.218097\pi\) | ||||
0.774309 | + | 0.632807i | \(0.218097\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.33092 | 0.0985876 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.5656 | + | 21.7686i | 0.698776 | + | 0.918253i | ||||
\(563\) | −42.7344 | −1.80104 | −0.900520 | − | 0.434814i | \(-0.856814\pi\) | ||||
−0.900520 | + | 0.434814i | \(0.856814\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 18.1457i | − | 0.763394i | ||||||
\(566\) | 21.3602 | + | 28.0692i | 0.897838 | + | 1.17984i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.6114 | + | 34.0107i | 0.571120 | + | 1.42706i | ||||
\(569\) | −21.4530 | −0.899356 | −0.449678 | − | 0.893191i | \(-0.648461\pi\) | ||||
−0.449678 | + | 0.893191i | \(0.648461\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 21.1713i | − | 0.885991i | −0.896524 | − | 0.442996i | \(-0.853916\pi\) | ||
0.896524 | − | 0.442996i | \(-0.146084\pi\) | |||||||
\(572\) | 0.268550 | − | 0.971066i | 0.0112286 | − | 0.0406023i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 31.6506i | 1.31992i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 4.73761i | − | 0.197229i | −0.995126 | − | 0.0986146i | \(-0.968559\pi\) | ||
0.995126 | − | 0.0986146i | \(-0.0314411\pi\) | |||||||
\(578\) | −2.79599 | − | 3.67417i | −0.116298 | − | 0.152825i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −23.1830 | − | 6.41129i | −0.962623 | − | 0.266214i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.46719i | 0.143596i | ||||||||
\(584\) | −1.89335 | − | 4.73091i | −0.0783474 | − | 0.195766i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.74545 | + | 5.89417i | −0.319962 | + | 0.243486i | ||||
\(587\) | 29.8450 | 1.23184 | 0.615918 | − | 0.787810i | \(-0.288785\pi\) | ||||
0.615918 | + | 0.787810i | \(0.288785\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.399562 | −0.0164636 | ||||||||
\(590\) | −14.9149 | + | 11.3500i | −0.614035 | + | 0.467271i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.8460 | + | 11.2870i | 0.774566 | + | 0.463893i | ||||
\(593\) | − | 26.5103i | − | 1.08865i | −0.838876 | − | 0.544323i | \(-0.816786\pi\) | ||
0.838876 | − | 0.544323i | \(-0.183214\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 11.3842 | − | 41.1651i | 0.466317 | − | 1.68619i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.01628 | + | 1.33548i | 0.0415587 | + | 0.0546117i | ||||
\(599\) | − | 20.7846i | − | 0.849236i | −0.905373 | − | 0.424618i | \(-0.860408\pi\) | ||
0.905373 | − | 0.424618i | \(-0.139592\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 10.8255i | − | 0.441581i | −0.975321 | − | 0.220790i | \(-0.929136\pi\) | ||
0.975321 | − | 0.220790i | \(-0.0708637\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −42.8194 | − | 11.8418i | −1.74230 | − | 0.481834i | ||||
\(605\) | 35.2538i | 1.43327i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.9066 | 0.564452 | 0.282226 | − | 0.959348i | \(-0.408927\pi\) | ||||
0.282226 | + | 0.959348i | \(0.408927\pi\) | |||||||
\(608\) | 0.0414278 | + | 0.372099i | 0.00168012 | + | 0.0150906i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.72746 | − | 6.21230i | −0.191409 | − | 0.251529i | ||||
\(611\) | − | 0.527212i | − | 0.0213287i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.644889 | 0.0260468 | 0.0130234 | − | 0.999915i | \(-0.495854\pi\) | ||||
0.0130234 | + | 0.999915i | \(0.495854\pi\) | |||||||
\(614\) | 14.9199 | + | 19.6061i | 0.602119 | + | 0.791237i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.3626 | −0.497701 | −0.248850 | − | 0.968542i | \(-0.580053\pi\) | ||||
−0.248850 | + | 0.968542i | \(0.580053\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.3975 | 0.458104 | 0.229052 | − | 0.973414i | \(-0.426437\pi\) | ||||
0.229052 | + | 0.973414i | \(0.426437\pi\) | |||||||
\(620\) | −44.8651 | − | 12.4075i | −1.80182 | − | 0.498297i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.5099 | + | 28.2659i | 0.862469 | + | 1.13336i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.9674 | 0.918698 | ||||||||
\(626\) | 24.8676 | − | 18.9239i | 0.993909 | − | 0.756350i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.5038 | − | 2.90483i | −0.419146 | − | 0.115915i | ||||
\(629\) | − | 24.7224i | − | 0.985745i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.8050i | 0.430140i | 0.976599 | + | 0.215070i | \(0.0689979\pi\) | ||||
−0.976599 | + | 0.215070i | \(0.931002\pi\) | |||||||
\(632\) | −13.1247 | − | 32.7947i | −0.522074 | − | 1.30450i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.39020 | + | 1.82684i | 0.0552118 | + | 0.0725531i | ||||
\(635\) | −10.4213 | −0.413557 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −4.78250 | + | 3.63941i | −0.189341 | + | 0.144085i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.90297 | + | 43.0679i | −0.272864 | + | 1.70241i | ||||
\(641\) | −2.25324 | −0.0889975 | −0.0444988 | − | 0.999009i | \(-0.514169\pi\) | ||||
−0.0444988 | + | 0.999009i | \(0.514169\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.0574 | −0.869860 | −0.434930 | − | 0.900464i | \(-0.643227\pi\) | ||||
−0.434930 | + | 0.900464i | \(0.643227\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.335305 | − | 0.255162i | 0.0131924 | − | 0.0100392i | ||||
\(647\) | −4.52834 | −0.178027 | −0.0890137 | − | 0.996030i | \(-0.528371\pi\) | ||||
−0.0890137 | + | 0.996030i | \(0.528371\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.68284i | 0.183818i | ||||||||
\(650\) | 4.10483 | − | 3.12371i | 0.161004 | − | 0.122522i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.16942 | − | 2.53581i | −0.359102 | − | 0.0993101i | ||||
\(653\) | −41.3498 | −1.61814 | −0.809071 | − | 0.587711i | \(-0.800029\pi\) | ||||
−0.809071 | + | 0.587711i | \(0.800029\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 29.9667i | − | 1.17090i | ||||||
\(656\) | 17.3670 | − | 28.9978i | 0.678068 | − | 1.13217i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 10.6413i | − | 0.414526i | −0.978285 | − | 0.207263i | \(-0.933544\pi\) | ||
0.978285 | − | 0.207263i | \(-0.0664556\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 48.2516i | − | 1.87677i | −0.345594 | − | 0.938384i | \(-0.612323\pi\) | ||
0.345594 | − | 0.938384i | \(-0.387677\pi\) | |||||||
\(662\) | −30.0121 | + | 22.8387i | −1.16645 | + | 0.887652i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 32.2700 | − | 12.9147i | 1.25232 | − | 0.501189i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 10.0103i | − | 0.387601i | ||||||
\(668\) | 7.49624 | − | 27.1062i | 0.290038 | − | 1.04877i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 32.2493 | + | 42.3783i | 1.24590 | + | 1.63722i | ||||
\(671\) | −1.95049 | −0.0752977 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.148647 | −0.00572991 | −0.00286496 | − | 0.999996i | \(-0.500912\pi\) | ||||
−0.00286496 | + | 0.999996i | \(0.500912\pi\) | |||||||
\(674\) | 25.5578 | + | 33.5851i | 0.984448 | + | 1.29365i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.85730 | + | 24.7958i | −0.263742 | + | 0.953683i | ||||
\(677\) | 39.7142i | 1.52634i | 0.646198 | + | 0.763170i | \(0.276358\pi\) | ||||
−0.646198 | + | 0.763170i | \(0.723642\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 45.5735 | − | 18.2389i | 1.74766 | − | 0.699430i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −9.25535 | + | 7.04318i | −0.354406 | + | 0.269697i | ||||
\(683\) | − | 42.6166i | − | 1.63068i | −0.578984 | − | 0.815339i | \(-0.696550\pi\) | ||
0.578984 | − | 0.815339i | \(-0.303450\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 10.9928i | − | 0.420013i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.9546 | + | 21.6304i | −0.493889 | + | 0.824650i | ||||
\(689\) | 0.941204i | 0.0358570i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.44633 | 0.169147 | 0.0845733 | − | 0.996417i | \(-0.473047\pi\) | ||||
0.0845733 | + | 0.996417i | \(0.473047\pi\) | |||||||
\(692\) | 3.42568 | + | 0.947375i | 0.130225 | + | 0.0360138i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.06618 | + | 0.811350i | −0.0404718 | + | 0.0307984i | ||||
\(695\) | − | 27.5906i | − | 1.04657i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −38.0396 | −1.44085 | ||||||||
\(698\) | 7.22274 | − | 5.49639i | 0.273385 | − | 0.208042i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24.9907 | 0.943885 | 0.471942 | − | 0.881629i | \(-0.343553\pi\) | ||||
0.471942 | + | 0.881629i | \(0.343553\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.363478 | 0.0137088 | ||||||||
\(704\) | 7.51872 | + | 7.88897i | 0.283372 | + | 0.297327i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.6131 | + | 11.8814i | −0.587608 | + | 0.447161i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.1482 | 0.681570 | 0.340785 | − | 0.940141i | \(-0.389307\pi\) | ||||
0.340785 | + | 0.940141i | \(0.389307\pi\) | |||||||
\(710\) | 42.7635 | + | 56.1950i | 1.60489 | + | 2.10896i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.35853 | + | 3.39455i | 0.0509130 | + | 0.127216i | ||||
\(713\) | − | 19.3725i | − | 0.725507i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 1.94213i | − | 0.0726316i | ||||||
\(716\) | 6.26816 | + | 1.73347i | 0.234252 | + | 0.0647827i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.79706 | − | 5.93345i | 0.290984 | − | 0.221434i | ||||
\(719\) | −41.1637 | −1.53515 | −0.767573 | − | 0.640961i | \(-0.778536\pi\) | ||||
−0.767573 | + | 0.640961i | \(0.778536\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −16.2682 | − | 21.3778i | −0.605440 | − | 0.795601i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 45.3026 | + | 12.5285i | 1.68366 | + | 0.465618i | ||||
\(725\) | −30.7685 | −1.14271 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.77231 | −0.214083 | −0.107042 | − | 0.994255i | \(-0.534138\pi\) | ||||
−0.107042 | + | 0.994255i | \(0.534138\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.94844 | − | 7.81677i | −0.220162 | − | 0.289312i | ||||
\(731\) | 28.3749 | 1.04948 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 7.66638i | − | 0.283164i | −0.989927 | − | 0.141582i | \(-0.954781\pi\) | ||
0.989927 | − | 0.141582i | \(-0.0452189\pi\) | |||||||
\(734\) | −16.5444 | − | 21.7407i | −0.610663 | − | 0.802465i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −18.0410 | + | 2.00860i | −0.665001 | + | 0.0740381i | ||||
\(737\) | 13.3056 | 0.490118 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 20.0633i | − | 0.738041i | −0.929421 | − | 0.369021i | \(-0.879693\pi\) | ||
0.929421 | − | 0.369021i | \(-0.120307\pi\) | |||||||
\(740\) | 40.8135 | + | 11.2870i | 1.50033 | + | 0.414919i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 8.26368i | − | 0.303165i | −0.988445 | − | 0.151583i | \(-0.951563\pi\) | ||
0.988445 | − | 0.151583i | \(-0.0484369\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 82.3301i | − | 3.01634i | ||||||
\(746\) | 9.65753 | + | 12.6908i | 0.353587 | + | 0.464644i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.26912 | − | 11.8210i | 0.119531 | − | 0.432220i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 27.0330i | 0.986448i | 0.869902 | + | 0.493224i | \(0.164182\pi\) | ||||
−0.869902 | + | 0.493224i | \(0.835818\pi\) | |||||||
\(752\) | 4.89239 | + | 2.93009i | 0.178407 | + | 0.106849i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.29826 | + | 0.987954i | −0.0472798 | + | 0.0359792i | ||||
\(755\) | −85.6388 | −3.11672 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.9417 | 0.797486 | 0.398743 | − | 0.917063i | \(-0.369447\pi\) | ||||
0.398743 | + | 0.917063i | \(0.369447\pi\) | |||||||
\(758\) | 28.2992 | − | 21.5353i | 1.02787 | − | 0.782196i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.268156 | + | 0.670040i | 0.00972704 | + | 0.0243049i | ||||
\(761\) | − | 1.18565i | − | 0.0429798i | −0.999769 | − | 0.0214899i | \(-0.993159\pi\) | ||
0.999769 | − | 0.0214899i | \(-0.00684097\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −46.0653 | − | 12.7394i | −1.66659 | − | 0.460896i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.2139 | + | 19.9923i | 0.549699 | + | 0.722353i | ||||
\(767\) | 1.27121i | 0.0459006i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 19.0892i | − | 0.688373i | −0.938901 | − | 0.344186i | \(-0.888155\pi\) | ||
0.938901 | − | 0.344186i | \(-0.111845\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.5953 | + | 38.3122i | −0.381333 | + | 1.37889i | ||||
\(773\) | − | 35.5517i | − | 1.27871i | −0.768913 | − | 0.639353i | \(-0.779202\pi\) | ||
0.768913 | − | 0.639353i | \(-0.220798\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −59.5449 | −2.13892 | ||||||||
\(776\) | −3.03110 | − | 7.57379i | −0.108810 | − | 0.271883i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.1138 | − | 15.9185i | −0.434299 | − | 0.570707i | ||||
\(779\) | − | 0.559274i | − | 0.0200381i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.6436 | 0.631339 | ||||||||
\(782\) | 12.3714 | + | 16.2571i | 0.442400 | + | 0.581352i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −21.0075 | −0.749790 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 42.6036 | 1.51865 | 0.759327 | − | 0.650710i | \(-0.225528\pi\) | ||||
0.759327 | + | 0.650710i | \(0.225528\pi\) | |||||||
\(788\) | 10.1393 | − | 36.6634i | 0.361198 | − | 1.30608i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −41.2347 | − | 54.1860i | −1.46706 | − | 1.92785i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.529479 | −0.0188024 | ||||||||
\(794\) | 14.2372 | − | 10.8343i | 0.505259 | − | 0.384494i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.91714 | − | 28.6281i | 0.280616 | − | 1.01470i | ||||
\(797\) | − | 23.1179i | − | 0.818879i | −0.912337 | − | 0.409440i | \(-0.865724\pi\) | ||
0.912337 | − | 0.409440i | \(-0.134276\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 6.41788i | − | 0.227048i | ||||||
\(800\) | 6.17380 | + | 55.4523i | 0.218277 | + | 1.96054i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 21.2227 | + | 27.8885i | 0.749401 | + | 0.984778i | ||||
\(803\) | −2.45424 | −0.0866084 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.51246 | + | 1.91194i | −0.0884976 | + | 0.0673453i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.50376 | − | 16.2509i | −0.228801 | − | 0.571705i | ||||
\(809\) | 32.1704 | 1.13105 | 0.565525 | − | 0.824731i | \(-0.308674\pi\) | ||||
0.565525 | + | 0.824731i | \(0.308674\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 41.0797 | 1.44250 | 0.721251 | − | 0.692673i | \(-0.243567\pi\) | ||||
0.721251 | + | 0.692673i | \(0.243567\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.41953 | − | 6.40713i | 0.295104 | − | 0.224570i | ||||
\(815\) | −18.3388 | −0.642381 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.417180i | 0.0145953i | ||||||||
\(818\) | −6.52359 | + | 4.96435i | −0.228092 | + | 0.173574i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 17.3670 | − | 62.7985i | 0.606482 | − | 2.19302i | ||||
\(821\) | 29.2466 | 1.02072 | 0.510358 | − | 0.859962i | \(-0.329513\pi\) | ||||
0.510358 | + | 0.859962i | \(0.329513\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.7212i | 0.687437i | 0.939073 | + | 0.343719i | \(0.111687\pi\) | ||||
−0.939073 | + | 0.343719i | \(0.888313\pi\) | |||||||
\(824\) | −46.7225 | + | 18.6988i | −1.62766 | + | 0.651402i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 16.1125i | − | 0.560286i | −0.959958 | − | 0.280143i | \(-0.909618\pi\) | ||
0.959958 | − | 0.280143i | \(-0.0903819\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 47.2337i | 1.64050i | 0.572008 | + | 0.820248i | \(0.306165\pi\) | ||||
−0.572008 | + | 0.820248i | \(0.693835\pi\) | |||||||
\(830\) | 53.3189 | − | 40.5749i | 1.85073 | − | 1.40837i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.04103 | + | 2.14154i | 0.0707601 | + | 0.0742446i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 54.2123i | − | 1.87609i | ||||||
\(836\) | 0.173798 | + | 0.0480639i | 0.00601092 | + | 0.00166233i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.08081 | − | 2.73437i | −0.0718804 | − | 0.0944571i | ||||
\(839\) | 25.3551 | 0.875356 | 0.437678 | − | 0.899132i | \(-0.355801\pi\) | ||||
0.437678 | + | 0.899132i | \(0.355801\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.2687 | −0.664437 | ||||||||
\(842\) | −22.2132 | − | 29.1901i | −0.765519 | − | 1.00596i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −37.9122 | − | 10.4847i | −1.30499 | − | 0.360897i | ||||
\(845\) | 49.5915i | 1.70600i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −8.73412 | − | 5.23093i | −0.299931 | − | 0.179631i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 49.9690 | − | 38.0257i | 1.71392 | − | 1.30427i | ||||
\(851\) | 17.6231i | 0.604110i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.3802i | 0.834763i | 0.908731 | + | 0.417382i | \(0.137052\pi\) | ||||
−0.908731 | + | 0.417382i | \(0.862948\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.40345 | − | 16.0003i | −0.218865 | − | 0.546878i | ||||
\(857\) | − | 25.9510i | − | 0.886469i | −0.896406 | − | 0.443235i | \(-0.853831\pi\) | ||
0.896406 | − | 0.443235i | \(-0.146169\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −56.8426 | −1.93944 | −0.969722 | − | 0.244211i | \(-0.921471\pi\) | ||||
−0.969722 | + | 0.244211i | \(0.921471\pi\) | |||||||
\(860\) | −12.9546 | + | 46.8433i | −0.441748 | + | 1.59734i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 16.6052 | − | 12.6363i | 0.565576 | − | 0.430395i | ||||
\(863\) | − | 17.6719i | − | 0.601560i | −0.953694 | − | 0.300780i | \(-0.902753\pi\) | ||
0.953694 | − | 0.300780i | \(-0.0972470\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.85135 | 0.232953 | ||||||||
\(866\) | −40.2217 | + | 30.6081i | −1.36679 | + | 1.04011i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −17.0129 | −0.577122 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.61194 | 0.122386 | ||||||||
\(872\) | −20.6484 | + | 8.26368i | −0.699244 | + | 0.279844i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.239018 | + | 0.181889i | −0.00808491 | + | 0.00615250i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.3457 | −0.416884 | −0.208442 | − | 0.978035i | \(-0.566839\pi\) | ||||
−0.208442 | + | 0.978035i | \(0.566839\pi\) | |||||||
\(878\) | −16.9901 | − | 22.3264i | −0.573387 | − | 0.753480i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18.0225 | + | 10.7938i | 0.607538 | + | 0.363859i | ||||
\(881\) | 33.0442i | 1.11329i | 0.830751 | + | 0.556644i | \(0.187911\pi\) | ||||
−0.830751 | + | 0.556644i | \(0.812089\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 39.2680i | − | 1.32147i | −0.750618 | − | 0.660737i | \(-0.770244\pi\) | ||
0.750618 | − | 0.660737i | \(-0.229756\pi\) | |||||||
\(884\) | 0.887436 | − | 3.20894i | 0.0298477 | − | 0.107928i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.3611 | − | 16.2554i | 0.717639 | − | 0.546112i | ||||
\(887\) | −39.5033 | −1.32639 | −0.663196 | − | 0.748446i | \(-0.730800\pi\) | ||||
−0.663196 | + | 0.748446i | \(0.730800\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 4.26816 | + | 5.60873i | 0.143069 | + | 0.188005i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.31977 | − | 15.6201i | 0.144637 | − | 0.523001i | ||||
\(893\) | 0.0943583 | 0.00315758 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.5363 | 0.419043 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 21.6542 | + | 28.4555i | 0.722609 | + | 0.949571i | ||||
\(899\) | 18.8326 | 0.628103 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.4575i | 0.381705i | ||||||||
\(902\) | −9.85848 | − | 12.9549i | −0.328251 | − | 0.431351i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.3595 | − | 4.94638i | 0.411071 | − | 0.164514i | ||||
\(905\) | 90.6052 | 3.01182 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.15426i | 0.171144i | 0.996332 | + | 0.0855722i | \(0.0272718\pi\) | ||||
−0.996332 | + | 0.0855722i | \(0.972728\pi\) | |||||||
\(908\) | −6.44295 | + | 23.2975i | −0.213817 | + | 0.773154i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 25.8365i | − | 0.856002i | −0.903778 | − | 0.428001i | \(-0.859218\pi\) | ||
0.903778 | − | 0.428001i | \(-0.140782\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 16.7406i | − | 0.554034i | ||||||
\(914\) | 19.6698 | + | 25.8478i | 0.650618 | + | 0.854969i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −45.8444 | − | 12.6783i | −1.51474 | − | 0.418903i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 35.4355i | − | 1.16891i | −0.811426 | − | 0.584455i | \(-0.801308\pi\) | ||
0.811426 | − | 0.584455i | \(-0.198692\pi\) | |||||||
\(920\) | −32.4865 | + | 13.0014i | −1.07105 | + | 0.428643i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.32939 | − | 2.53361i | 0.109648 | − | 0.0834401i | ||||
\(923\) | 4.78955 | 0.157650 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 54.1676 | 1.78102 | ||||||||
\(926\) | −3.72138 | + | 2.83191i | −0.122292 | + | 0.0930624i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.95262 | − | 17.5382i | −0.0640980 | − | 0.575721i | ||||
\(929\) | − | 55.0160i | − | 1.80502i | −0.430674 | − | 0.902508i | \(-0.641724\pi\) | ||
0.430674 | − | 0.902508i | \(-0.358276\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −10.6242 | + | 38.4169i | −0.348008 | + | 1.25839i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −10.1962 | − | 13.3987i | −0.333630 | − | 0.438420i | ||||
\(935\) | − | 23.6421i | − | 0.773178i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 6.90001i | − | 0.225414i | −0.993628 | − | 0.112707i | \(-0.964048\pi\) | ||
0.993628 | − | 0.112707i | \(-0.0359521\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 10.5951 | + | 2.93009i | 0.345574 | + | 0.0955689i | ||||
\(941\) | 18.7751i | 0.612051i | 0.952023 | + | 0.306026i | \(0.0989994\pi\) | ||||
−0.952023 | + | 0.306026i | \(0.901001\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 27.1161 | 0.883021 | ||||||||
\(944\) | −11.7965 | − | 7.06499i | −0.383942 | − | 0.229946i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.35374 | + | 9.66346i | 0.239091 | + | 0.314186i | ||||
\(947\) | 29.7833i | 0.967827i | 0.875116 | + | 0.483913i | \(0.160785\pi\) | ||||
−0.875116 | + | 0.483913i | \(0.839215\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.666230 | −0.0216267 | ||||||||
\(950\) | 0.559069 | + | 0.734665i | 0.0181386 | + | 0.0238357i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 23.2676 | 0.753711 | 0.376856 | − | 0.926272i | \(-0.377005\pi\) | ||||
0.376856 | + | 0.926272i | \(0.377005\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −92.1307 | −2.98128 | ||||||||
\(956\) | 18.5245 | + | 5.12298i | 0.599126 | + | 0.165689i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.1946 | + | 13.3966i | 0.329372 | + | 0.432823i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.44594 | 0.175675 | ||||||||
\(962\) | 2.28557 | − | 1.73928i | 0.0736897 | − | 0.0560767i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −20.0635 | − | 5.54859i | −0.646202 | − | 0.178708i | ||||
\(965\) | 76.6244i | 2.46663i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 16.9691i | − | 0.545690i | −0.962058 | − | 0.272845i | \(-0.912035\pi\) | ||
0.962058 | − | 0.272845i | \(-0.0879646\pi\) | |||||||
\(968\) | −24.0123 | + | 9.60993i | −0.771784 | + | 0.308875i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.52296 | − | 12.5140i | −0.305764 | − | 0.401800i | ||||
\(971\) | 45.6698 | 1.46561 | 0.732806 | − | 0.680437i | \(-0.238210\pi\) | ||||
0.732806 | + | 0.680437i | \(0.238210\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.44878 | + | 6.42939i | −0.270717 | + | 0.206011i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.94269 | − | 4.91343i | 0.0941932 | − | 0.157275i | ||||
\(977\) | 47.4204 | 1.51711 | 0.758557 | − | 0.651606i | \(-0.225905\pi\) | ||||
0.758557 | + | 0.651606i | \(0.225905\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.76098 | 0.0562812 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −24.7625 | + | 18.8439i | −0.790205 | + | 0.601334i | ||||
\(983\) | 35.3912 | 1.12880 | 0.564402 | − | 0.825500i | \(-0.309107\pi\) | ||||
0.564402 | + | 0.825500i | \(0.309107\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 73.3268i | − | 2.33639i | ||||||
\(986\) | −15.8040 | + | 12.0266i | −0.503302 | + | 0.383005i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0471792 | + | 0.0130475i | 0.00150097 | + | 0.000415095i | ||||
\(989\) | −20.2267 | −0.643173 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.5627i | 0.367301i | 0.982992 | + | 0.183650i | \(0.0587914\pi\) | ||||
−0.982992 | + | 0.183650i | \(0.941209\pi\) | |||||||
\(992\) | −3.77883 | − | 33.9410i | −0.119978 | − | 1.07763i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 57.2563i | − | 1.81515i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.3359i | 0.390680i | 0.980736 | + | 0.195340i | \(0.0625811\pi\) | ||||
−0.980736 | + | 0.195340i | \(0.937419\pi\) | |||||||
\(998\) | 1.58901 | − | 1.20921i | 0.0502991 | − | 0.0382769i | ||||
\(999\) | 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 | 1764.2.b.i.1567.6 | 8 | ||
3.2 | odd | 2 | 588.2.b.b.391.3 | 8 | |||
4.3 | odd | 2 | 1764.2.b.j.1567.5 | 8 | |||
7.2 | even | 3 | 252.2.bf.g.199.3 | 8 | |||
7.3 | odd | 6 | 252.2.bf.f.19.1 | 8 | |||
7.6 | odd | 2 | 1764.2.b.j.1567.6 | 8 | |||
12.11 | even | 2 | 588.2.b.a.391.4 | 8 | |||
21.2 | odd | 6 | 84.2.o.a.31.2 | yes | 8 | ||
21.5 | even | 6 | 588.2.o.d.31.2 | 8 | |||
21.11 | odd | 6 | 588.2.o.b.19.4 | 8 | |||
21.17 | even | 6 | 84.2.o.b.19.4 | yes | 8 | ||
21.20 | even | 2 | 588.2.b.a.391.3 | 8 | |||
28.3 | even | 6 | 252.2.bf.g.19.3 | 8 | |||
28.23 | odd | 6 | 252.2.bf.f.199.1 | 8 | |||
28.27 | even | 2 | inner | 1764.2.b.i.1567.5 | 8 | ||
84.11 | even | 6 | 588.2.o.d.19.2 | 8 | |||
84.23 | even | 6 | 84.2.o.b.31.4 | yes | 8 | ||
84.47 | odd | 6 | 588.2.o.b.31.4 | 8 | |||
84.59 | odd | 6 | 84.2.o.a.19.2 | ✓ | 8 | ||
84.83 | odd | 2 | 588.2.b.b.391.4 | 8 | |||
168.59 | odd | 6 | 1344.2.bl.j.1279.4 | 8 | |||
168.101 | even | 6 | 1344.2.bl.i.1279.4 | 8 | |||
168.107 | even | 6 | 1344.2.bl.i.703.4 | 8 | |||
168.149 | odd | 6 | 1344.2.bl.j.703.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.2 | ✓ | 8 | 84.59 | odd | 6 | ||
84.2.o.a.31.2 | yes | 8 | 21.2 | odd | 6 | ||
84.2.o.b.19.4 | yes | 8 | 21.17 | even | 6 | ||
84.2.o.b.31.4 | yes | 8 | 84.23 | even | 6 | ||
252.2.bf.f.19.1 | 8 | 7.3 | odd | 6 | |||
252.2.bf.f.199.1 | 8 | 28.23 | odd | 6 | |||
252.2.bf.g.19.3 | 8 | 28.3 | even | 6 | |||
252.2.bf.g.199.3 | 8 | 7.2 | even | 3 | |||
588.2.b.a.391.3 | 8 | 21.20 | even | 2 | |||
588.2.b.a.391.4 | 8 | 12.11 | even | 2 | |||
588.2.b.b.391.3 | 8 | 3.2 | odd | 2 | |||
588.2.b.b.391.4 | 8 | 84.83 | odd | 2 | |||
588.2.o.b.19.4 | 8 | 21.11 | odd | 6 | |||
588.2.o.b.31.4 | 8 | 84.47 | odd | 6 | |||
588.2.o.d.19.2 | 8 | 84.11 | even | 6 | |||
588.2.o.d.31.2 | 8 | 21.5 | even | 6 | |||
1344.2.bl.i.703.4 | 8 | 168.107 | even | 6 | |||
1344.2.bl.i.1279.4 | 8 | 168.101 | even | 6 | |||
1344.2.bl.j.703.4 | 8 | 168.149 | odd | 6 | |||
1344.2.bl.j.1279.4 | 8 | 168.59 | odd | 6 | |||
1764.2.b.i.1567.5 | 8 | 28.27 | even | 2 | inner | ||
1764.2.b.i.1567.6 | 8 | 1.1 | even | 1 | trivial | ||
1764.2.b.j.1567.5 | 8 | 4.3 | odd | 2 | |||
1764.2.b.j.1567.6 | 8 | 7.6 | odd | 2 |