Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1152,2,Mod(193,1152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1152, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1152.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1152 = 2^{7} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1152.r (of order \(6\), degree \(2\), 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: | \(9.19876631285\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 16.0.9349208943630483456.9 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 961.6 | ||
Root | \(0.500000 + 1.00333i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1152.961 |
Dual form | 1152.2.r.f.193.6 |
$q$-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 \(\left(\mathbb{Z}/1152\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(641\) | \(901\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 | ||||||||
\(3\) | 0.524648 | + | 1.65068i | 0.302905 | + | 0.953021i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.98735 | − | 1.72474i | 1.33598 | − | 0.771329i | 0.349773 | − | 0.936835i | \(-0.386259\pi\) |
0.986209 | + | 0.165505i | \(0.0529255\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.02166 | − | 3.50162i | 0.764116 | − | 1.32349i | −0.176596 | − | 0.984283i | \(-0.556509\pi\) |
0.940712 | − | 0.339205i | \(-0.110158\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.44949 | + | 1.73205i | −0.816497 | + | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.50162 | − | 2.02166i | −1.05578 | − | 0.609554i | −0.131517 | − | 0.991314i | \(-0.541985\pi\) |
−0.924262 | + | 0.381760i | \(0.875318\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.866025 | + | 0.500000i | −0.240192 | + | 0.138675i | −0.615265 | − | 0.788320i | \(-0.710951\pi\) |
0.375073 | + | 0.926995i | \(0.377618\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.41431 | + | 4.02627i | 1.13977 | + | 1.03958i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.44949 | 1.56423 | 0.782116 | − | 0.623133i | \(-0.214141\pi\) | ||||
0.782116 | + | 0.623133i | \(0.214141\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.84072 | + | 1.50000i | 1.49277 | + | 0.327327i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.11295 | − | 1.92768i | −0.232065 | − | 0.401949i | 0.726351 | − | 0.687324i | \(-0.241215\pi\) |
−0.958416 | + | 0.285376i | \(0.907882\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.44949 | − | 5.97469i | 0.689898 | − | 1.19494i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.14418 | − | 3.13461i | −0.797548 | − | 0.603256i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.10867 | + | 2.94949i | 0.948655 | + | 0.547706i | 0.892663 | − | 0.450725i | \(-0.148834\pi\) |
0.0559925 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.93038 | − | 5.07556i | −0.526311 | − | 0.911598i | −0.999530 | − | 0.0306532i | \(-0.990241\pi\) |
0.473219 | − | 0.880945i | \(-0.343092\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.50000 | − | 6.84072i | 0.261116 | − | 1.19082i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | − | 13.9474i | − | 2.35754i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.55051i | 0.583700i | 0.956464 | + | 0.291850i | \(0.0942709\pi\) | ||||
−0.956464 | + | 0.291850i | \(0.905729\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.27970 | − | 1.16721i | −0.204916 | − | 0.186903i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.17423 | − | 7.22999i | −0.651906 | − | 1.12913i | −0.982660 | − | 0.185417i | \(-0.940636\pi\) |
0.330754 | − | 0.943717i | \(-0.392697\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.93092 | + | 5.15627i | 1.36195 | + | 0.786324i | 0.989884 | − | 0.141881i | \(-0.0453151\pi\) |
0.372069 | + | 0.928205i | \(0.378648\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.33013 | + | 9.39898i | −0.645497 | + | 1.40112i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.02166 | + | 3.50162i | −0.294890 | + | 0.510764i | −0.974959 | − | 0.222384i | \(-0.928616\pi\) |
0.680070 | + | 0.733148i | \(0.261950\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.67423 | − | 8.09601i | −0.667748 | − | 1.15657i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.38371 | + | 10.6460i | 0.473814 | + | 1.49074i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 3.34847i | − | 0.459948i | −0.973197 | − | 0.229974i | \(-0.926136\pi\) | ||
0.973197 | − | 0.229974i | \(-0.0738641\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −13.9474 | −1.88067 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.92768 | + | 1.11295i | −0.250962 | + | 0.144893i | −0.620205 | − | 0.784440i | \(-0.712951\pi\) |
0.369242 | + | 0.929333i | \(0.379617\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.64456 | + | 0.949490i | 0.210565 | + | 0.121570i | 0.601574 | − | 0.798817i | \(-0.294541\pi\) |
−0.391009 | + | 0.920387i | \(0.627874\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.11295 | + | 12.0788i | 0.140218 | + | 1.52179i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.72474 | + | 2.98735i | −0.213928 | + | 0.370535i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.6527 | + | 7.88242i | −1.66795 | + | 0.962991i | −0.699207 | + | 0.714919i | \(0.746463\pi\) |
−0.968742 | + | 0.248072i | \(0.920203\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.59808 | − | 2.84847i | 0.312772 | − | 0.342915i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.5389 | 1.60678 | 0.803389 | − | 0.595455i | \(-0.203028\pi\) | ||||
0.803389 | + | 0.595455i | \(0.203028\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.55051 | 0.415556 | 0.207778 | − | 0.978176i | \(-0.433377\pi\) | ||||
0.207778 | + | 0.978176i | \(0.433377\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 11.6721 | + | 2.55940i | 1.34777 | + | 0.295534i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −14.1582 | + | 8.17423i | −1.61348 | + | 0.931540i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.74781 | − | 8.22345i | 0.534170 | − | 0.925210i | −0.465033 | − | 0.885294i | \(-0.653957\pi\) |
0.999203 | − | 0.0399168i | \(-0.0127093\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.00000 | − | 8.48528i | 0.333333 | − | 0.942809i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.92768 | + | 1.11295i | 0.211590 | + | 0.122162i | 0.602050 | − | 0.798458i | \(-0.294351\pi\) |
−0.390460 | + | 0.920620i | \(0.627684\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 19.2669 | − | 11.1237i | 2.08978 | − | 1.20654i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.18841 | + | 9.98022i | −0.234623 | + | 1.06999i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.44949 | 0.471645 | 0.235822 | − | 0.971796i | \(-0.424222\pi\) | ||||
0.235822 | + | 0.971796i | \(0.424222\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.04332i | 0.423856i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.84072 | − | 7.50000i | 0.709349 | − | 0.777714i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.17423 | + | 14.1582i | −0.829968 | + | 1.43755i | 0.0680949 | + | 0.997679i | \(0.478308\pi\) |
−0.898063 | + | 0.439868i | \(0.855025\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12.0788 | − | 1.11295i | 1.21397 | − | 0.111855i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 12.4261 | + | 7.17423i | 1.23645 | + | 0.713863i | 0.968366 | − | 0.249533i | \(-0.0802772\pi\) |
0.268081 | + | 0.963396i | \(0.413611\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.24755 | + | 7.35698i | 0.418524 | + | 0.724905i | 0.995791 | − | 0.0916506i | \(-0.0292143\pi\) |
−0.577267 | + | 0.816555i | \(0.695881\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 23.0227 | − | 7.31747i | 2.24679 | − | 0.714112i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.45178i | 0.430370i | 0.976573 | + | 0.215185i | \(0.0690355\pi\) | ||||
−0.976573 | + | 0.215185i | \(0.930965\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.3485i | 1.08699i | 0.839414 | + | 0.543493i | \(0.182899\pi\) | ||||
−0.839414 | + | 0.543493i | \(0.817101\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.86076 | + | 1.86277i | −0.556278 | + | 0.176806i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.39898 | − | 9.35131i | −0.507893 | − | 0.879697i | −0.999958 | − | 0.00913847i | \(-0.997091\pi\) |
0.492065 | − | 0.870558i | \(-0.336242\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.64951 | − | 3.83909i | −0.620070 | − | 0.357997i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.25529 | − | 2.72474i | 0.116052 | − | 0.251903i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 13.0387 | − | 22.5837i | 1.19525 | − | 2.07024i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.67423 | + | 4.63191i | 0.243112 | + | 0.421083i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.74439 | − | 10.6835i | 0.878622 | − | 0.963301i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 6.55051i | − | 0.585895i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.5384 | −1.11261 | −0.556303 | − | 0.830980i | \(-0.687781\pi\) | ||||
−0.556303 | + | 0.830980i | \(0.687781\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.82577 | + | 17.4473i | −0.336840 | + | 1.53615i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.22021 | − | 0.704487i | 0.106610 | − | 0.0615513i | −0.445747 | − | 0.895159i | \(-0.647062\pi\) |
0.552357 | + | 0.833608i | \(0.313729\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −17.7865 | − | 2.21650i | −1.53082 | − | 0.190766i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.724745 | + | 1.25529i | −0.0619191 | + | 0.107247i | −0.895323 | − | 0.445417i | \(-0.853055\pi\) |
0.833404 | + | 0.552664i | \(0.186389\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.2267 | + | 8.79114i | −1.29151 | + | 0.745654i | −0.978922 | − | 0.204234i | \(-0.934530\pi\) |
−0.312589 | + | 0.949888i | \(0.601196\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.84072 | − | 1.50000i | −0.576092 | − | 0.126323i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.04332 | 0.338120 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 20.3485 | 1.68985 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.9116 | − | 11.9632i | 0.899974 | − | 0.986710i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.0874863 | − | 0.0505103i | 0.00716716 | − | 0.00413796i | −0.496412 | − | 0.868087i | \(-0.665350\pi\) |
0.503579 | + | 0.863949i | \(0.332016\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0170 | + | 19.0820i | −0.896553 | + | 1.55288i | −0.0646820 | + | 0.997906i | \(0.520603\pi\) |
−0.831871 | + | 0.554969i | \(0.812730\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −15.7980 | + | 11.1708i | −1.27719 | + | 0.903109i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −17.5081 | − | 10.1083i | −1.40628 | − | 0.811919i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.00853 | + | 4.62372i | −0.639150 | + | 0.369013i | −0.784287 | − | 0.620398i | \(-0.786971\pi\) |
0.145137 | + | 0.989412i | \(0.453638\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.52725 | − | 1.75677i | 0.438340 | − | 0.139321i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −9.00000 | −0.709299 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.7215i | 0.918100i | 0.888410 | + | 0.459050i | \(0.151810\pi\) | ||||
−0.888410 | + | 0.459050i | \(0.848190\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −7.31747 | − | 23.0227i | −0.569664 | − | 1.79232i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.69985 | + | 16.8006i | 0.750597 | + | 1.30007i | 0.947534 | + | 0.319656i | \(0.103567\pi\) |
−0.196937 | + | 0.980416i | \(0.563099\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.00000 | + | 10.3923i | −0.461538 | + | 0.799408i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.25529 | − | 0.724745i | −0.0954383 | − | 0.0551013i | 0.451521 | − | 0.892260i | \(-0.350882\pi\) |
−0.546960 | + | 0.837159i | \(0.684215\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.9474 | − | 24.1576i | −1.05432 | − | 1.82614i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.84847 | − | 2.59808i | −0.214104 | − | 0.195283i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 3.63487i | − | 0.271683i | −0.990731 | − | 0.135841i | \(-0.956626\pi\) | ||
0.990731 | − | 0.135841i | \(-0.0433737\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.34847i | − | 0.397549i | −0.980045 | − | 0.198774i | \(-0.936304\pi\) | ||
0.980045 | − | 0.198774i | \(-0.0636961\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.704487 | + | 3.21280i | −0.0520772 | + | 0.237497i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.12372 | + | 10.6066i | 0.450225 | + | 0.779813i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −22.5837 | − | 13.0387i | −1.65148 | − | 0.953483i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −19.3543 | + | 8.17423i | −1.40782 | + | 0.594588i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.1083 | − | 17.5081i | 0.731412 | − | 1.26684i | −0.224868 | − | 0.974389i | \(-0.572195\pi\) |
0.956280 | − | 0.292453i | \(-0.0944715\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.82577 | − | 8.35847i | −0.347366 | − | 0.601656i | 0.638415 | − | 0.769693i | \(-0.279591\pi\) |
−0.985781 | + | 0.168037i | \(0.946257\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −5.83604 | − | 1.27970i | −0.417927 | − | 0.0916411i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 2.89898i | − | 0.206544i | −0.994653 | − | 0.103272i | \(-0.967069\pi\) | ||
0.994653 | − | 0.103272i | \(-0.0329312\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.63435 | 0.186744 | 0.0933721 | − | 0.995631i | \(-0.470235\pi\) | ||||
0.0933721 | + | 0.995631i | \(0.470235\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −20.1742 | − | 18.4008i | −1.42298 | − | 1.29789i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 20.6560 | − | 11.9257i | 1.44977 | − | 0.837023i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −24.9398 | − | 14.3990i | −1.74187 | − | 1.00567i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.06499 | + | 2.79415i | 0.421546 | + | 0.194207i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.50162 | + | 2.02166i | −0.241062 | + | 0.139177i | −0.615665 | − | 0.788008i | \(-0.711112\pi\) |
0.374603 | + | 0.927185i | \(0.377779\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 7.10318 | + | 22.3485i | 0.486702 | + | 1.53129i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 35.5730 | 2.42606 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −23.6969 | −1.60865 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.86277 | + | 5.86076i | 0.125874 | + | 0.396033i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.58542 | + | 3.22474i | −0.375716 | + | 0.216920i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.65653 | − | 9.79739i | 0.378789 | − | 0.656082i | −0.612097 | − | 0.790782i | \(-0.709674\pi\) |
0.990886 | + | 0.134701i | \(0.0430072\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.89898 | + | 20.6096i | 0.126599 | + | 1.37398i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.35698 | − | 4.24755i | −0.488300 | − | 0.281920i | 0.235569 | − | 0.971858i | \(-0.424305\pi\) |
−0.723869 | + | 0.689938i | \(0.757638\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.2259 | + | 10.5227i | −1.20440 | + | 0.695360i | −0.961530 | − | 0.274699i | \(-0.911422\pi\) |
−0.242868 | + | 0.970059i | \(0.578088\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −20.9211 | − | 19.0820i | −1.37651 | − | 1.25551i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.89898 | 0.189918 | 0.0949592 | − | 0.995481i | \(-0.469728\pi\) | ||||
0.0949592 | + | 0.995481i | \(0.469728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 13.9474i | 0.909828i | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.0652 | + | 3.52270i | 1.04355 | + | 0.228824i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.93038 | − | 5.07556i | −0.189550 | − | 0.328311i | 0.755550 | − | 0.655091i | \(-0.227370\pi\) |
−0.945100 | + | 0.326780i | \(0.894036\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.949490 | − | 1.64456i | 0.0611620 | − | 0.105936i | −0.833823 | − | 0.552032i | \(-0.813853\pi\) |
0.894985 | + | 0.446096i | \(0.147186\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5804 | + | 0.500258i | 0.999485 | + | 0.0320915i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −27.9271 | − | 16.1237i | −1.78420 | − | 1.03011i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.825765 | + | 3.76588i | −0.0523308 | + | 0.238653i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 11.7215i | − | 0.739855i | −0.929061 | − | 0.369928i | \(-0.879382\pi\) | ||
0.929061 | − | 0.369928i | \(-0.120618\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.00000i | 0.565825i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 28.4700 | + | 25.9674i | 1.78286 | + | 1.62614i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.29796 | + | 12.6404i | 0.455234 | + | 0.788489i | 0.998702 | − | 0.0509415i | \(-0.0162222\pi\) |
−0.543467 | + | 0.839430i | \(0.682889\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.4325 | + | 7.17793i | 0.772521 | + | 0.446015i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −17.6223 | + | 1.62372i | −1.09079 | + | 0.100506i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.93038 | − | 5.07556i | 0.180695 | − | 0.312973i | −0.761423 | − | 0.648256i | \(-0.775499\pi\) |
0.942117 | + | 0.335283i | \(0.108832\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.77526 | − | 10.0030i | −0.354771 | − | 0.614482i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.33441 | + | 7.34468i | 0.142864 | + | 0.449487i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 11.5505i | − | 0.704247i | −0.935954 | − | 0.352124i | \(-0.885460\pi\) | ||
0.935954 | − | 0.352124i | \(-0.114540\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.7215 | 0.712031 | 0.356016 | − | 0.934480i | \(-0.384135\pi\) | ||||
0.356016 | + | 0.934480i | \(0.384135\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.67423 | + | 2.12132i | −0.403943 | + | 0.128388i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −24.1576 | + | 13.9474i | −1.45676 | + | 0.841060i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −21.0864 | − | 12.1742i | −1.26696 | − | 0.731479i | −0.292547 | − | 0.956251i | \(-0.594503\pi\) |
−0.974411 | + | 0.224772i | \(0.927836\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.9691 | + | 7.35698i | 0.956043 | + | 0.440451i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.6237 | + | 20.1329i | −0.693413 | + | 1.20103i | 0.277299 | + | 0.960784i | \(0.410561\pi\) |
−0.970713 | + | 0.240243i | \(0.922773\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.92768 | − | 1.11295i | 0.114589 | − | 0.0661578i | −0.441610 | − | 0.897207i | \(-0.645593\pi\) |
0.556199 | + | 0.831049i | \(0.312259\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −33.7556 | −1.99253 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 24.5959 | 1.44682 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −27.6592 | − | 6.06499i | −1.62141 | − | 0.355536i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.5758 | − | 10.7247i | 1.08521 | − | 0.626546i | 0.152913 | − | 0.988240i | \(-0.451135\pi\) |
0.932297 | + | 0.361693i | \(0.117801\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.83909 | + | 6.64951i | −0.223521 | + | 0.387149i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.17423 | + | 19.3543i | 0.474317 | + | 1.12305i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.92768 | + | 1.11295i | 0.111481 | + | 0.0643633i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 36.1106 | − | 20.8485i | 2.08138 | − | 1.20169i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.32302 | + | 24.2755i | −0.305800 | + | 1.39459i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.55051 | 0.375081 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.816917i | 0.0466239i | 0.999728 | + | 0.0233120i | \(0.00742110\pi\) | ||||
−0.999728 | + | 0.0233120i | \(0.992579\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.91555 | + | 10.8712i | −0.564076 | + | 0.618439i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.4255 | − | 19.7895i | −0.647880 | − | 1.12216i | −0.983628 | − | 0.180209i | \(-0.942323\pi\) |
0.335749 | − | 0.941952i | \(-0.391011\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.50000 | + | 9.52628i | −0.310878 | + | 0.538457i | −0.978553 | − | 0.205996i | \(-0.933957\pi\) |
0.667674 | + | 0.744453i | \(0.267290\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 24.1576 | + | 34.1640i | 1.36113 | + | 1.92492i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.04100 | + | 0.601021i | 0.0584683 | + | 0.0337567i | 0.528949 | − | 0.848654i | \(-0.322586\pi\) |
−0.470481 | + | 0.882410i | \(0.655920\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.9257 | − | 20.6560i | −0.667713 | − | 1.15651i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −7.34847 | + | 2.33562i | −0.410152 | + | 0.130361i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.89898i | 0.382687i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −18.7327 | + | 5.95395i | −1.03592 | + | 0.329254i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 8.17423 | + | 14.1582i | 0.450660 | + | 0.780566i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.50162 | + | 2.02166i | 0.192467 | + | 0.111121i | 0.593137 | − | 0.805102i | \(-0.297889\pi\) |
−0.400670 | + | 0.916222i | \(0.631223\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −6.14966 | − | 8.69694i | −0.337000 | − | 0.476589i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −27.1903 | + | 47.0950i | −1.48557 | + | 2.57308i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.8485 | − | 20.5222i | −0.645427 | − | 1.11791i | −0.984203 | − | 0.177046i | \(-0.943346\pi\) |
0.338775 | − | 0.940867i | \(-0.389987\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.6035 | − | 13.8181i | 0.684526 | − | 0.750498i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 23.6969i | 1.28326i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.49562 | −0.512715 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.84847 | − | 12.9904i | 0.153356 | − | 0.699379i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.35698 | − | 4.24755i | 0.394943 | − | 0.228021i | −0.289357 | − | 0.957221i | \(-0.593441\pi\) |
0.684300 | + | 0.729201i | \(0.260108\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.1582 | − | 8.17423i | −0.757871 | − | 0.437557i | 0.0706601 | − | 0.997500i | \(-0.477489\pi\) |
−0.828531 | + | 0.559944i | \(0.810823\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.15627 | + | 0.642559i | 0.275221 | + | 0.0342973i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.17423 | + | 12.4261i | −0.381846 | + | 0.661377i | −0.991326 | − | 0.131425i | \(-0.958045\pi\) |
0.609480 | + | 0.792801i | \(0.291378\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 40.4455 | − | 23.3512i | 2.14662 | − | 1.23935i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 44.1191 | + | 9.67423i | 2.33503 | + | 0.512015i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −16.9902 | −0.896709 | −0.448355 | − | 0.893856i | \(-0.647990\pi\) | ||||
−0.448355 | + | 0.893856i | \(0.647990\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 19.0000 | 1.00000 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.24277 | + | 6.84443i | −0.327661 | + | 0.359239i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.6066 | − | 6.12372i | 0.555175 | − | 0.320530i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.79114 | − | 15.2267i | 0.458894 | − | 0.794827i | −0.540009 | − | 0.841659i | \(-0.681579\pi\) |
0.998903 | + | 0.0468322i | \(0.0149126\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 22.7474 | + | 10.4798i | 1.18418 | + | 0.545556i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.7251 | − | 6.76947i | −0.608735 | − | 0.351454i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.79423 | − | 4.50000i | 0.403570 | − | 0.233001i | −0.284453 | − | 0.958690i | \(-0.591812\pi\) |
0.688023 | + | 0.725689i | \(0.258479\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.8128 | − | 3.43671i | 0.558370 | − | 0.177471i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.89898 | −0.303813 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.26922i | 0.322028i | 0.986952 | + | 0.161014i | \(0.0514764\pi\) | ||||
−0.986952 | + | 0.161014i | \(0.948524\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.57826 | − | 20.6969i | −0.337014 | − | 1.06034i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 10.5168 | + | 18.2156i | 0.537382 | + | 0.930773i | 0.999044 | + | 0.0437167i | \(0.0139199\pi\) |
−0.461662 | + | 0.887056i | \(0.652747\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −28.1969 | + | 48.8385i | −1.43705 | + | 2.48904i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −30.8071 | + | 2.83858i | −1.56601 | + | 0.144293i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −31.4787 | − | 18.1742i | −1.59603 | − | 0.921470i | −0.992241 | − | 0.124329i | \(-0.960322\pi\) |
−0.603792 | − | 0.797142i | \(-0.706344\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.17793 | − | 12.4325i | −0.363004 | − | 0.628741i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.80306 | + | 1.64456i | 0.0909524 | + | 0.0829573i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 32.7551i | − | 1.64809i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 0.247449i | − | 0.0124191i | −0.999981 | − | 0.00620955i | \(-0.998023\pi\) | ||
0.999981 | − | 0.00620955i | \(-0.00197657\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.62372 | − | 6.27647i | −0.180960 | − | 0.313432i | 0.761248 | − | 0.648461i | \(-0.224587\pi\) |
−0.942208 | + | 0.335029i | \(0.891254\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.07556 | + | 2.93038i | 0.252832 | + | 0.145973i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.67291 | − | 30.5227i | −0.281889 | − | 1.51669i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.17793 | − | 12.4325i | 0.355797 | − | 0.616258i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.29796 | + | 14.3725i | 0.410308 | + | 0.710674i | 0.994923 | − | 0.100637i | \(-0.0320880\pi\) |
−0.584616 | + | 0.811310i | \(0.698755\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.45233 | − | 0.537734i | −0.120964 | − | 0.0265245i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 9.00000i | 0.442861i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.67819 | 0.376907 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −22.5000 | − | 20.5222i | −1.10183 | − | 1.00497i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.6560 | − | 11.9257i | 1.00911 | − | 0.582611i | 0.0981799 | − | 0.995169i | \(-0.468698\pi\) |
0.910931 | + | 0.412558i | \(0.135365\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.20164 | + | 1.84847i | 0.156039 | + | 0.0900889i | 0.575986 | − | 0.817459i | \(-0.304618\pi\) |
−0.419948 | + | 0.907548i | \(0.637952\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.11295 | − | 12.0788i | −0.0541133 | − | 0.587292i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 22.2474 | − | 38.5337i | 1.07916 | − | 1.86916i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.64951 | − | 3.83909i | 0.321792 | − | 0.185787i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.12132 | + | 6.67423i | 0.102418 | + | 0.322235i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.816917 | 0.0393495 | 0.0196748 | − | 0.999806i | \(-0.493737\pi\) | ||||
0.0196748 | + | 0.999806i | \(0.493737\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.04541 | −0.386638 | −0.193319 | − | 0.981136i | \(-0.561925\pi\) | ||||
−0.193319 | + | 0.981136i | \(0.561925\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.6758 | + | 33.5888i | 0.511864 | + | 1.61046i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.6519 | + | 25.3778i | −0.699297 | + | 1.21122i | 0.269414 | + | 0.963024i | \(0.413170\pi\) |
−0.968711 | + | 0.248193i | \(0.920163\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 25.4722 | + | 11.7351i | 1.21296 | + | 0.558814i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.7863 | + | 7.38216i | 0.607494 | + | 0.350737i | 0.771984 | − | 0.635642i | \(-0.219264\pi\) |
−0.164490 | + | 0.986379i | \(0.552598\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.2922 | − | 7.67423i | 0.630109 | − | 0.363794i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.129276 | + | 0.117912i | 0.00611453 | + | 0.00557704i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −29.3485 | −1.38504 | −0.692520 | − | 0.721399i | \(-0.743500\pi\) | ||||
−0.692520 | + | 0.721399i | \(0.743500\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 33.7556i | 1.58949i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −37.2784 | − | 8.17423i | −1.75149 | − | 0.384059i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.97370 | + | 12.0788i | 0.326932 | + | 0.566263i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.0732 | − | 17.4473i | 0.471205 | − | 0.816151i | −0.528252 | − | 0.849087i | \(-0.677153\pi\) |
0.999457 | + | 0.0329363i | \(0.0104858\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −26.7279 | − | 20.2166i | −1.24755 | − | 0.943631i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 25.1147 | + | 14.5000i | 1.16971 | + | 0.675332i | 0.953612 | − | 0.301039i | \(-0.0973335\pi\) |
0.216098 | + | 0.976372i | \(0.430667\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.0170 | + | 19.0820i | 0.512005 | + | 0.886818i | 0.999903 | + | 0.0139177i | \(0.00443028\pi\) |
−0.487899 | + | 0.872900i | \(0.662236\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 7.50000 | − | 34.2036i | 0.347804 | − | 1.58615i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 23.4430i | 1.08481i | 0.840116 | + | 0.542407i | \(0.182487\pi\) | ||||
−0.840116 | + | 0.542407i | \(0.817513\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 63.7423i | 2.94335i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.8339 | − | 10.7937i | −0.545279 | − | 0.497347i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −20.8485 | − | 36.1106i | −0.958614 | − | 1.66037i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.79972 | + | 8.20204i | 0.265551 | + | 0.375546i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.97370 | + | 12.0788i | −0.318637 | + | 0.551895i | −0.980204 | − | 0.197991i | \(-0.936558\pi\) |
0.661567 | + | 0.749886i | \(0.269892\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.77526 | − | 3.07483i | −0.0809447 | − | 0.140200i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.72183 | − | 14.8561i | −0.214851 | − | 0.675977i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 56.3939i | 2.56071i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 40.4332 | 1.83221 | 0.916103 | − | 0.400944i | \(-0.131318\pi\) | ||||
0.916103 | + | 0.400944i | \(0.131318\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.3485 | + | 6.14966i | −0.874968 | + | 0.278097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −29.9406 | + | 17.2862i | −1.35120 | + | 0.780117i | −0.988418 | − | 0.151756i | \(-0.951507\pi\) |
−0.362785 | + | 0.931873i | \(0.618174\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 32.9483 | + | 19.0227i | 1.48392 | + | 0.856739i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 34.1640 | − | 24.1576i | 1.53556 | − | 1.08580i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 27.3712 | − | 47.4083i | 1.22776 | − | 2.12655i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.63839 | + | 5.56473i | −0.431474 | + | 0.249111i | −0.699974 | − | 0.714168i | \(-0.746805\pi\) |
0.268501 | + | 0.963280i | \(0.413472\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −22.6435 | + | 24.8258i | −1.01164 | + | 1.10913i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.26922 | 0.279530 | 0.139765 | − | 0.990185i | \(-0.455365\pi\) | ||||
0.139765 | + | 0.990185i | \(0.455365\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 49.4949 | 2.20249 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.3023 | − | 4.45178i | −0.901655 | − | 0.197711i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.72656 | + | 2.15153i | −0.165177 | + | 0.0953649i | −0.580310 | − | 0.814396i | \(-0.697068\pi\) |
0.415133 | + | 0.909761i | \(0.363735\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.17793 | − | 12.4325i | 0.317533 | − | 0.549983i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 25.3778 | + | 14.6519i | 1.11828 | + | 0.645639i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.1582 | − | 8.17423i | 0.622676 | − | 0.359502i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.537734 | − | 2.45233i | 0.0236039 | − | 0.107645i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −33.3939 | −1.46301 | −0.731506 | − | 0.681835i | \(-0.761182\pi\) | ||||
−0.731506 | + | 0.681835i | \(0.761182\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 34.9809i | − | 1.52961i | −0.644262 | − | 0.764805i | \(-0.722835\pi\) | ||
0.644262 | − | 0.764805i | \(-0.277165\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 32.5590 | − | 35.6969i | 1.42099 | − | 1.55794i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −18.8994 | − | 32.7348i | −0.823273 | − | 1.42595i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.02270 | − | 15.6278i | 0.392291 | − | 0.679469i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.79415 | − | 6.06499i | 0.121256 | − | 0.263198i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 7.22999 | + | 4.17423i | 0.313165 | + | 0.180806i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.67819 | + | 13.2990i | 0.331957 | + | 0.574967i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.00000 | − | 1.90702i | 0.258919 | − | 0.0822941i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 37.7989i | 1.62811i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.30306i | 0.313983i | 0.987600 | + | 0.156992i | \(0.0501796\pi\) | ||||
−0.987600 | + | 0.156992i | \(0.949820\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.82861 | − | 2.80606i | 0.378872 | − | 0.120420i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 19.5732 | + | 33.9018i | 0.838424 | + | 1.45219i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.2123 | − | 6.47344i | −0.479405 | − | 0.276785i | 0.240764 | − | 0.970584i | \(-0.422602\pi\) |
−0.720168 | + | 0.693799i | \(0.755935\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.67291 | + | 0.522704i | −0.242114 | + | 0.0223085i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.1969 | − | 33.2501i | −0.816337 | − | 1.41394i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.2953 | + | 15.6730i | −0.606802 | + | 0.665283i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − | 37.1464i | − | 1.57394i | −0.616988 | − | 0.786972i | \(-0.711647\pi\) | ||
0.616988 | − | 0.786972i | \(-0.288353\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.3125 | −0.436174 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.67423 | − | 44.1191i | 0.408447 | − | 1.86271i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.94204 | + | 3.43064i | −0.250427 | + | 0.144584i | −0.619960 | − | 0.784634i | \(-0.712851\pi\) |
0.369533 | + | 0.929218i | \(0.379518\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −32.2572 | − | 18.6237i | −1.35707 | − | 0.783506i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −23.6473 | − | 27.6592i | −0.993091 | − | 1.16158i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.74745 | − | 11.6869i | 0.282868 | − | 0.489941i | −0.689222 | − | 0.724550i | \(-0.742048\pi\) |
0.972090 | + | 0.234609i | \(0.0753809\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.9453 | − | 7.47396i | 0.541743 | − | 0.312775i | −0.204042 | − | 0.978962i | \(-0.565408\pi\) |
0.745785 | + | 0.666187i | \(0.232075\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 34.2036 | + | 7.50000i | 1.42888 | + | 0.313317i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −15.3564 | −0.640405 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.0454 | −1.08428 | −0.542142 | − | 0.840287i | \(-0.682387\pi\) | ||||
−0.542142 | + | 0.840287i | \(0.682387\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.2653 | − | 12.3510i | 0.468171 | − | 0.513292i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.79423 | − | 4.50000i | 0.323359 | − | 0.186691i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.76947 | + | 11.7251i | −0.280363 | + | 0.485603i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.949490 | − | 10.3048i | −0.0392566 | − | 0.426052i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 21.5225 | + | 12.4260i | 0.888327 | + | 0.512876i | 0.873395 | − | 0.487013i | \(-0.161913\pi\) |
0.0149322 | + | 0.999889i | \(0.495247\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.78529 | − | 1.52094i | 0.196840 | − | 0.0625632i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.75255 | 0.318359 | 0.159180 | − | 0.987250i | \(-0.449115\pi\) | ||||
0.159180 | + | 0.987250i | \(0.449115\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 89.9536i | − | 3.68774i | ||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.38211 | + | 4.34847i | 0.0565658 | + | 0.177971i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.65653 | − | 9.79739i | −0.231119 | − | 0.400311i | 0.727018 | − | 0.686618i | \(-0.240905\pi\) |
−0.958138 | + | 0.286307i | \(0.907572\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.5227 | + | 28.6182i | −0.673975 | + | 1.16736i | 0.302792 | + | 0.953057i | \(0.402081\pi\) |
−0.976767 | + | 0.214303i | \(0.931252\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 19.7895 | − | 42.9552i | 0.805892 | − | 1.74927i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 15.9777 | + | 9.22474i | 0.649587 | + | 0.375039i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 15.5606 | + | 26.9518i | 0.631586 | + | 1.09394i | 0.987228 | + | 0.159316i | \(0.0509289\pi\) |
−0.355642 | + | 0.934622i | \(0.615738\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 30.5227 | + | 27.8396i | 1.23684 | + | 1.12812i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 4.04332i | − | 0.163575i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 36.7423i | − | 1.48401i | −0.670395 | − | 0.742005i | \(-0.733875\pi\) | ||
0.670395 | − | 0.742005i | \(-0.266125\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10.6835 | − | 48.7220i | 0.430801 | − | 1.96466i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.2753 | + | 24.7255i | 0.574700 | + | 0.995410i | 0.996074 | + | 0.0885229i | \(0.0282146\pi\) |
−0.421374 | + | 0.906887i | \(0.638452\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.79415 | + | 1.61320i | 0.112306 | + | 0.0648401i | 0.555101 | − | 0.831783i | \(-0.312680\pi\) |
−0.442795 | + | 0.896623i | \(0.646013\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.43027 | + | 11.4773i | −0.0573947 | + | 0.460568i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.99536 | − | 15.5804i | 0.360392 | − | 0.624217i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.94949 | + | 10.3048i | 0.237980 | + | 0.412193i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 22.8990i | 0.913042i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.7215 | 0.466626 | 0.233313 | − | 0.972402i | \(-0.425043\pi\) | ||||
0.233313 | + | 0.972402i | \(0.425043\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −5.17423 | − | 4.71940i | −0.205657 | − | 0.187579i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −37.4566 | + | 21.6256i | −1.48642 | + | 0.858186i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.09601 | + | 4.67423i | 0.320776 | + | 0.185200i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −33.1635 | + | 23.4501i | −1.31193 | + | 0.927673i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.29796 | + | 2.24813i | −0.0512663 | + | 0.0887958i | −0.890520 | − | 0.454945i | \(-0.849659\pi\) |
0.839253 | + | 0.543740i | \(0.182992\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −30.8071 | + | 17.7865i | −1.21491 | + | 0.701431i | −0.963826 | − | 0.266533i | \(-0.914122\pi\) |
−0.251088 | + | 0.967964i | \(0.580789\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 18.6633 | + | 58.7196i | 0.734866 | + | 2.31208i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.5286 | 1.16089 | 0.580445 | − | 0.814299i | \(-0.302878\pi\) | ||||
0.580445 | + | 0.814299i | \(0.302878\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.00000 | 0.353281 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.4325 | − | 39.1161i | −0.487270 | − | 1.53308i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.63740 | − | 1.52270i | 0.103209 | − | 0.0595880i | −0.447507 | − | 0.894281i | \(-0.647688\pi\) |
0.550716 | + | 0.834693i | \(0.314355\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.43012 | − | 4.20909i | 0.0949527 | − | 0.164463i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −8.69694 | + | 6.14966i | −0.339300 | + | 0.239921i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.79415 | − | 1.61320i | −0.108845 | − | 0.0628415i | 0.444589 | − | 0.895734i | \(-0.353350\pi\) |
−0.553434 | + | 0.832893i | \(0.686683\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.5970 | − | 13.6237i | 0.917816 | − | 0.529901i | 0.0348785 | − | 0.999392i | \(-0.488896\pi\) |
0.882938 | + | 0.469490i | \(0.155562\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −8.25340 | − | 7.52789i | −0.320536 | − | 0.292359i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 13.1305i | − | 0.508415i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 19.1400 | + | 4.19694i | 0.739997 | + | 0.162263i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.83909 | − | 6.64951i | −0.148207 | − | 0.256701i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.8712 | − | 41.3461i | 0.920166 | − | 1.59377i | 0.121010 | − | 0.992651i | \(-0.461387\pi\) |
0.799156 | − | 0.601123i | \(-0.205280\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −33.0236 | + | 13.9474i | −1.27108 | + | 0.536836i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.2867 | − | 8.82577i | −0.587515 | − | 0.339202i | 0.176600 | − | 0.984283i | \(-0.443490\pi\) |
−0.764114 | + | 0.645081i | \(0.776824\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 33.0511 | + | 57.2461i | 1.26838 | + | 2.19691i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 3.15153 | − | 14.3725i | 0.120767 | − | 0.550755i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.7215i | 0.448511i | 0.974530 | + | 0.224256i | \(0.0719951\pi\) | ||||
−0.974530 | + | 0.224256i | \(0.928005\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.00000i | 0.191040i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −26.9318 | − | 24.5643i | −1.02751 | − | 0.937188i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.67423 | + | 2.89986i | 0.0637833 | + | 0.110476i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −40.7992 | − | 23.5555i | −1.55208 | − | 0.896092i | −0.997973 | − | 0.0636443i | \(-0.979728\pi\) |
−0.554104 | − | 0.832448i | \(-0.686939\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 20.5222 | − | 44.5454i | 0.779572 | − | 1.69214i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −30.3249 | + | 52.5243i | −1.15029 | + | 1.99236i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −26.9217 | − | 46.6297i | −1.01973 | − | 1.76623i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.52094 | + | 4.78529i | 0.0575273 | + | 0.180996i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 39.1464i | − | 1.47854i | −0.673409 | − | 0.739270i | \(-0.735171\pi\) | ||
0.673409 | − | 0.739270i | \(-0.264829\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −23.0227 | + | 7.31747i | −0.867085 | + | 0.275592i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 50.2429 | − | 29.0078i | 1.88958 | − | 1.09095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.7576 | + | 14.8712i | 0.967348 | + | 0.558499i | 0.898427 | − | 0.439123i | \(-0.144711\pi\) |
0.0689213 | + | 0.997622i | \(0.478044\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.61372 | + | 28.3667i | 0.0980221 | + | 1.06383i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.52270 | + | 11.2977i | −0.244277 | + | 0.423100i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.0788 | − | 6.97370i | 0.451722 | − | 0.260802i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.84072 | − | 7.50000i | 0.255471 | − | 0.280093i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.63487 | −0.135558 | −0.0677788 | − | 0.997700i | \(-0.521591\pi\) | ||||
−0.0677788 | + | 0.997700i | \(0.521591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 34.3485 | 1.27920 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.21280 | + | 0.704487i | 0.119485 | + | 0.0262002i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 35.2446 | − | 20.3485i | 1.30895 | − | 0.755723i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.19959 | − | 15.9342i | 0.341194 | − | 0.590965i | −0.643461 | − | 0.765479i | \(-0.722502\pi\) |
0.984655 | + | 0.174514i | \(0.0558353\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.34847 | + | 25.9808i | 0.272166 | + | 0.962250i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 57.5999 | + | 33.2553i | 2.13041 | + | 1.22999i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.0580 | − | 9.84847i | 0.630053 | − | 0.363762i | −0.150719 | − | 0.988577i | \(-0.548159\pi\) |
0.780773 | + | 0.624815i | \(0.214826\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 11.9632 | − | 54.5580i | 0.441270 | − | 2.01240i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 63.7423 | 2.34798 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 24.4435i | 0.899170i | 0.893237 | + | 0.449585i | \(0.148428\pi\) | ||||
−0.893237 | + | 0.449585i | \(0.851572\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.43012 | + | 4.20909i | 0.0891525 | + | 0.154417i | 0.907153 | − | 0.420801i | \(-0.138251\pi\) |
−0.818001 | + | 0.575217i | \(0.804917\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.174235 | − | 0.301783i | 0.00638346 | − | 0.0110565i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.64951 | + | 0.612688i | −0.243293 | + | 0.0224171i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 15.5885 | + | 9.00000i | 0.569590 | + | 0.328853i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.69985 | + | 16.8006i | 0.353953 | + | 0.613064i | 0.986938 | − | 0.161100i | \(-0.0515041\pi\) |
−0.632986 | + | 0.774164i | \(0.718171\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 19.3485 | − | 6.14966i | 0.705097 | − | 0.224106i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 76.0062i | 2.76615i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 45.3939i | 1.64987i | 0.565229 | + | 0.824934i | \(0.308788\pi\) | ||||
−0.565229 | + | 0.824934i | \(0.691212\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −14.8561 | + | 4.72183i | −0.539243 | + | 0.171392i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.72474 | + | 6.45145i | 0.135022 | + | 0.233865i | 0.925606 | − | 0.378489i | \(-0.123556\pi\) |
−0.790584 | + | 0.612354i | \(0.790223\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 39.7380 | + | 22.9428i | 1.43861 | + | 0.830584i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −27.9271 | + | 60.6186i | −1.00971 | + | 2.19167i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.11295 | − | 1.92768i | 0.0401861 | − | 0.0696044i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.15153 | − | 3.72656i | −0.0775862 | − | 0.134383i | 0.824622 | − | 0.565684i | \(-0.191388\pi\) |
−0.902208 | + | 0.431301i | \(0.858055\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −17.0365 | + | 18.6784i | −0.613553 | + | 0.672685i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − | 33.8434i | − | 1.21726i | −0.793454 | − | 0.608631i | \(-0.791719\pi\) | ||
0.793454 | − | 0.608631i | \(-0.208281\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −40.4332 | −1.45240 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.32577 | + | 24.2880i | −0.191061 | + | 0.871328i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −47.4083 | − | 27.3712i | −1.69640 | − | 0.979418i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −11.9257 | − | 28.2369i | −0.426191 | − | 1.00910i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.9495 | + | 27.6253i | −0.569262 | + | 0.985990i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.6639 | − | 6.15679i | 0.380126 | − | 0.219466i | −0.297747 | − | 0.954645i | \(-0.596235\pi\) |
0.677873 | + | 0.735179i | \(0.262902\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 9.91555 | + | 2.17423i | 0.353003 | + | 0.0774048i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −43.6596 | −1.55236 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.89898 | −0.0674347 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.4818 | − | 14.7812i | 0.478152 | − | 0.524234i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.0874863 | − | 0.0505103i | 0.00309892 | − | 0.00178917i | −0.498450 | − | 0.866919i | \(-0.666097\pi\) |
0.501549 | + | 0.865129i | \(0.332764\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.0387 | + | 22.5837i | −0.461276 | + | 0.798953i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −10.8990 | + | 7.70674i | −0.385097 | + | 0.272304i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −12.4325 | − | 7.17793i | −0.438735 | − | 0.253304i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −26.8861 | + | 15.5227i | −0.947611 | + | 0.547103i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 19.0662 | − | 6.05995i | 0.671162 | − | 0.213320i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 39.6413 | 1.39371 | 0.696857 | − | 0.717210i | \(-0.254581\pi\) | ||||
0.696857 | + | 0.717210i | \(0.254581\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.1733i | 0.567921i | 0.958836 | + | 0.283961i | \(0.0916485\pi\) | ||||
−0.958836 | + | 0.283961i | \(0.908352\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.14966 | + | 19.3485i | 0.215678 | + | 0.678580i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 20.2166 | + | 35.0162i | 0.708157 | + | 1.22656i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.00324 | − | 9.90408i | −0.244713 | − | 0.346077i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 11.6869 | + | 6.74745i | 0.407876 | + | 0.235488i | 0.689877 | − | 0.723927i | \(-0.257665\pi\) |
−0.282000 | + | 0.959414i | \(0.590998\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.3296 | + | 36.9439i | 0.743502 | + | 1.28778i | 0.950891 | + | 0.309525i | \(0.100170\pi\) |
−0.207389 | + | 0.978258i | \(0.566497\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −35.6969 | − | 32.5590i | −1.24281 | − | 1.13356i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 39.6163i | 1.37759i | 0.724954 | + | 0.688797i | \(0.241861\pi\) | ||||
−0.724954 | + | 0.688797i | \(0.758139\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 27.3485i | − | 0.949852i | −0.880026 | − | 0.474926i | \(-0.842475\pi\) | ||
0.880026 | − | 0.474926i | \(-0.157525\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 9.03284 | − | 41.1941i | 0.313346 | − | 1.42901i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −30.1464 | − | 52.2151i | −1.04451 | − | 1.80915i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 57.9536 | + | 33.4595i | 2.00557 | + | 1.15792i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.76588 | + | 30.2196i | −0.130168 | + | 1.04454i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.9691 | − | 27.6592i | 0.551313 | − | 0.954903i | −0.446867 | − | 0.894601i | \(-0.647460\pi\) |
0.998180 | − | 0.0603023i | \(-0.0192065\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.89898 | + | 5.02118i | 0.0999648 | + | 0.173144i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −39.3313 | − | 8.62438i | −1.35464 | − | 0.297040i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 41.3939i | 1.42399i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 21.6256 | 0.743064 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.84847 | + | 2.59808i | 0.0977592 | + | 0.0891657i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.84424 | − | 3.95153i | 0.234618 | − | 0.135457i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −30.3895 | − | 17.5454i | −1.04052 | − | 0.600743i | −0.120538 | − | 0.992709i | \(-0.538462\pi\) |
−0.919980 | + | 0.391965i | \(0.871795\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.9722 | + | 24.2005i | −0.477281 | + | 0.826675i | −0.999661 | − | 0.0260378i | \(-0.991711\pi\) |
0.522380 | + | 0.852713i | \(0.325044\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.5113 | − | 14.1516i | 0.836316 | − | 0.482848i | −0.0196940 | − | 0.999806i | \(-0.506269\pi\) |
0.856010 | + | 0.516959i | \(0.172936\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −17.7098 | − | 55.7196i | −0.603548 | − | 1.89892i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −36.7984 | −1.25263 | −0.626316 | − | 0.779570i | \(-0.715438\pi\) | ||||
−0.626316 | + | 0.779570i | \(0.715438\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.00000 | −0.170005 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 12.9042 | + | 40.6000i | 0.438249 | + | 1.37885i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −33.2501 | + | 19.1969i | −1.12793 | + | 0.651212i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.88242 | − | 13.6527i | 0.267086 | − | 0.462606i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.50000 | − | 48.8385i | −0.152302 | − | 1.65293i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.9374 | − | 13.2429i | −0.775426 | − | 0.447692i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.9609 | + | 17.2980i | −1.01171 | + | 0.584111i | −0.911692 | − | 0.410875i | \(-0.865223\pi\) |
−0.100018 | + | 0.994986i | \(0.531890\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 27.4489 | + | 25.0360i | 0.925828 | + | 0.844443i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −44.0454 | −1.48393 | −0.741964 | − | 0.670440i | \(-0.766105\pi\) | ||||
−0.741964 | + | 0.670440i | \(0.766105\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 43.2512i | − | 1.45552i | −0.685833 | − | 0.727759i | \(-0.740562\pi\) | ||
0.685833 | − | 0.727759i | \(-0.259438\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −12.9904 | − | 2.84847i | −0.436667 | − | 0.0957502i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 15.4688 | + | 26.7928i | 0.519392 | + | 0.899613i | 0.999746 | + | 0.0225384i | \(0.00717479\pi\) |
−0.480354 | + | 0.877075i | \(0.659492\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −25.3485 | + | 43.9048i | −0.850160 | + | 1.47252i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −27.6592 | + | 23.6473i | −0.926619 | + | 0.792213i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.26922 | − | 10.8586i | −0.209557 | − | 0.362963i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.825765 | + | 3.76588i | −0.0275715 | + | 0.125739i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − | 34.5725i | − | 1.15306i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 21.5959i | − | 0.719464i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 53.3595 | + | 48.6690i | 1.77569 | + | 1.61960i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.22474 | − | 15.9777i | −0.306641 | − | 0.531118i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.2332 | + | 16.8778i | 0.970672 | + | 0.560418i | 0.899441 | − | 0.437042i | \(-0.143974\pi\) |
0.0712308 | + | 0.997460i | \(0.477307\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −42.8638 | + | 3.94949i | −1.42170 | + | 0.130996i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.0170 | + | 19.0820i | −0.365010 | + | 0.632217i | −0.988778 | − | 0.149393i | \(-0.952268\pi\) |
0.623767 | + | 0.781610i | \(0.285601\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.50000 | − | 7.79423i | −0.148928 | − | 0.257951i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 3.43671 | + | 10.8128i | 0.113614 | + | 0.357460i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 5.69694i | − | 0.188129i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.08665 | 0.266754 | 0.133377 | − | 0.991065i | \(-0.457418\pi\) | ||||
0.133377 | + | 0.991065i | \(0.457418\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.34847 | + | 0.428594i | −0.0444336 | + | 0.0141226i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −11.7251 | + | 6.76947i | −0.385935 | + | 0.222820i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.2132 | + | 12.2474i | 0.697486 | + | 0.402694i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −23.1470 | − | 10.6639i | −0.760247 | − | 0.350247i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −6.37628 | + | 11.0440i | −0.209199 | + | 0.362343i | −0.951462 | − | 0.307765i | \(-0.900419\pi\) |
0.742264 | + | 0.670108i | \(0.233752\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 26.6718 | − | 29.2423i | 0.873196 | − | 0.957351i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −89.9536 | −2.94180 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.0454 | 0.589518 | 0.294759 | − | 0.955572i | \(-0.404761\pi\) | ||||
0.294759 | + | 0.955572i | \(0.404761\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −18.6104 | − | 4.08080i | −0.607328 | − | 0.133172i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −47.4957 | + | 27.4217i | −1.54832 | + | 0.893921i | −0.550047 | + | 0.835134i | \(0.685390\pi\) |
−0.998271 | + | 0.0587874i | \(0.981277\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −9.29139 | + | 16.0932i | −0.302569 | + | 0.524066i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −43.7196 | + | 57.8006i | −1.42220 | + | 1.88025i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 11.2123 | + | 6.47344i | 0.364352 | + | 0.210359i | 0.670988 | − | 0.741468i | \(-0.265870\pi\) |
−0.306636 | + | 0.951827i | \(0.599203\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.07483 | + | 1.77526i | −0.0998133 | + | 0.0576272i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.445935 | + | 2.03368i | −0.0144604 | + | 0.0659466i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.4495 | 1.31029 | 0.655144 | − | 0.755504i | \(-0.272608\pi\) | ||||
0.655144 | + | 0.755504i | \(0.272608\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 69.7370i | − | 2.25664i | ||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 27.8396 | − | 30.5227i | 0.899927 | − | 0.986659i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.93038 | + | 5.07556i | 0.0946269 | + | 0.163899i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.67423 | + | 2.89986i | −0.0540076 | + | 0.0935439i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.71071 | − | 10.9046i | −0.248474 | − | 0.351396i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −28.8325 | − | 16.6464i | −0.928150 | − | 0.535867i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.6947 | − | 30.6481i | −0.569023 | − | 0.985577i | −0.996663 | − | 0.0816278i | \(-0.973988\pi\) |
0.427640 | − | 0.903949i | \(-0.359345\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 2.63435i | − | 0.0845403i | −0.999106 | − | 0.0422702i | \(-0.986541\pi\) | ||
0.999106 | − | 0.0422702i | \(-0.0134590\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 71.0908i | 2.27907i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.3880 | + | 3.61953i | −0.364708 | + | 0.115918i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −15.8485 | − | 27.4504i | −0.507037 | − | 0.878215i | −0.999967 | − | 0.00814530i | \(-0.997407\pi\) |
0.492929 | − | 0.870069i | \(-0.335926\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.5804 | − | 8.99536i | −0.497953 | − | 0.287493i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.6561 | − | 27.7980i | −0.627572 | − | 0.887521i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −12.8345 | + | 22.2299i | −0.409356 | + | 0.709025i | −0.994818 | − | 0.101675i | \(-0.967580\pi\) |
0.585462 | + | 0.810700i | \(0.300913\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.00000 | − | 8.66025i | −0.159313 | − | 0.275939i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −19.0820 | + | 20.9211i | −0.607388 | + | 0.665926i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 22.9546i | − | 0.729914i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 61.8752 | 1.96553 | 0.982766 | − | 0.184855i | \(-0.0591815\pi\) | ||||
0.982766 | + | 0.184855i | \(0.0591815\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.50000 | + | 6.84072i | −0.0476011 | + | 0.217084i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 7.86971 | − | 4.54358i | 0.249487 | − | 0.144041i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.00853 | − | 4.62372i | −0.253633 | − | 0.146435i | 0.367794 | − | 0.929907i | \(-0.380113\pi\) |
−0.621426 | + | 0.783473i | \(0.713447\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 11.1295 | − | 14.7140i | 0.352120 | − | 0.465529i |
(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 | 1152.2.r.f.961.6 | yes | 16 | |
3.2 | odd | 2 | 3456.2.r.e.2881.2 | 16 | |||
4.3 | odd | 2 | inner | 1152.2.r.f.961.4 | yes | 16 | |
8.3 | odd | 2 | inner | 1152.2.r.f.961.5 | yes | 16 | |
8.5 | even | 2 | inner | 1152.2.r.f.961.3 | yes | 16 | |
9.4 | even | 3 | inner | 1152.2.r.f.193.3 | ✓ | 16 | |
9.5 | odd | 6 | 3456.2.r.e.577.8 | 16 | |||
12.11 | even | 2 | 3456.2.r.e.2881.1 | 16 | |||
24.5 | odd | 2 | 3456.2.r.e.2881.8 | 16 | |||
24.11 | even | 2 | 3456.2.r.e.2881.7 | 16 | |||
36.23 | even | 6 | 3456.2.r.e.577.7 | 16 | |||
36.31 | odd | 6 | inner | 1152.2.r.f.193.5 | yes | 16 | |
72.5 | odd | 6 | 3456.2.r.e.577.2 | 16 | |||
72.13 | even | 6 | inner | 1152.2.r.f.193.6 | yes | 16 | |
72.59 | even | 6 | 3456.2.r.e.577.1 | 16 | |||
72.67 | odd | 6 | inner | 1152.2.r.f.193.4 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1152.2.r.f.193.3 | ✓ | 16 | 9.4 | even | 3 | inner | |
1152.2.r.f.193.4 | yes | 16 | 72.67 | odd | 6 | inner | |
1152.2.r.f.193.5 | yes | 16 | 36.31 | odd | 6 | inner | |
1152.2.r.f.193.6 | yes | 16 | 72.13 | even | 6 | inner | |
1152.2.r.f.961.3 | yes | 16 | 8.5 | even | 2 | inner | |
1152.2.r.f.961.4 | yes | 16 | 4.3 | odd | 2 | inner | |
1152.2.r.f.961.5 | yes | 16 | 8.3 | odd | 2 | inner | |
1152.2.r.f.961.6 | yes | 16 | 1.1 | even | 1 | trivial | |
3456.2.r.e.577.1 | 16 | 72.59 | even | 6 | |||
3456.2.r.e.577.2 | 16 | 72.5 | odd | 6 | |||
3456.2.r.e.577.7 | 16 | 36.23 | even | 6 | |||
3456.2.r.e.577.8 | 16 | 9.5 | odd | 6 | |||
3456.2.r.e.2881.1 | 16 | 12.11 | even | 2 | |||
3456.2.r.e.2881.2 | 16 | 3.2 | odd | 2 | |||
3456.2.r.e.2881.7 | 16 | 24.11 | even | 2 | |||
3456.2.r.e.2881.8 | 16 | 24.5 | odd | 2 |