Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1815,2,Mod(364,1815)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1815, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1815.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.c (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: | \(14.4928479669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 165) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 364.18 | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.j.364.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1815\mathbb{Z}\right)^\times\).
\(n\) | \(727\) | \(1211\) | \(1696\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.27093i | 0.898685i | 0.893360 | + | 0.449342i | \(0.148342\pi\) | ||||
−0.893360 | + | 0.449342i | \(0.851658\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.384732 | 0.192366 | ||||||||
\(5\) | 1.01340 | − | 1.99324i | 0.453206 | − | 0.891406i | ||||
\(6\) | 1.27093 | 0.518856 | ||||||||
\(7\) | 0.483291i | 0.182667i | 0.995820 | + | 0.0913334i | \(0.0291129\pi\) | ||||
−0.995820 | + | 0.0913334i | \(0.970887\pi\) | |||||||
\(8\) | 3.03083i | 1.07156i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.53328 | + | 1.28796i | 0.801092 | + | 0.407290i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 0.384732i | − | 0.111063i | ||||||
\(13\) | − | 3.14412i | − | 0.872023i | −0.899941 | − | 0.436012i | \(-0.856391\pi\) | ||
0.899941 | − | 0.436012i | \(-0.143609\pi\) | |||||||
\(14\) | −0.614230 | −0.164160 | ||||||||
\(15\) | −1.99324 | − | 1.01340i | −0.514653 | − | 0.261659i | ||||
\(16\) | −3.08252 | −0.770629 | ||||||||
\(17\) | − | 2.51013i | − | 0.608796i | −0.952545 | − | 0.304398i | \(-0.901545\pi\) | ||
0.952545 | − | 0.304398i | \(-0.0984552\pi\) | |||||||
\(18\) | − | 1.27093i | − | 0.299562i | ||||||
\(19\) | 3.72015 | 0.853460 | 0.426730 | − | 0.904379i | \(-0.359665\pi\) | ||||
0.426730 | + | 0.904379i | \(0.359665\pi\) | |||||||
\(20\) | 0.389888 | − | 0.766865i | 0.0871815 | − | 0.171476i | ||||
\(21\) | 0.483291 | 0.105463 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 8.53218i | − | 1.77908i | −0.456855 | − | 0.889541i | \(-0.651024\pi\) | ||
0.456855 | − | 0.889541i | \(-0.348976\pi\) | |||||||
\(24\) | 3.03083 | 0.618666 | ||||||||
\(25\) | −2.94604 | − | 4.03991i | −0.589208 | − | 0.807981i | ||||
\(26\) | 3.99597 | 0.783674 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.185938i | 0.0351389i | ||||||||
\(29\) | 9.98293 | 1.85378 | 0.926891 | − | 0.375330i | \(-0.122471\pi\) | ||||
0.926891 | + | 0.375330i | \(0.122471\pi\) | |||||||
\(30\) | 1.28796 | − | 2.53328i | 0.235149 | − | 0.462511i | ||||
\(31\) | −5.78984 | −1.03989 | −0.519943 | − | 0.854201i | \(-0.674047\pi\) | ||||
−0.519943 | + | 0.854201i | \(0.674047\pi\) | |||||||
\(32\) | 2.14399i | 0.379008i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.19020 | 0.547115 | ||||||||
\(35\) | 0.963317 | + | 0.489767i | 0.162830 | + | 0.0827858i | ||||
\(36\) | −0.384732 | −0.0641220 | ||||||||
\(37\) | 3.20765i | 0.527334i | 0.964614 | + | 0.263667i | \(0.0849319\pi\) | ||||
−0.964614 | + | 0.263667i | \(0.915068\pi\) | |||||||
\(38\) | 4.72805i | 0.766992i | ||||||||
\(39\) | −3.14412 | −0.503463 | ||||||||
\(40\) | 6.04119 | + | 3.07145i | 0.955195 | + | 0.485638i | ||||
\(41\) | −7.86565 | −1.22841 | −0.614204 | − | 0.789148i | \(-0.710523\pi\) | ||||
−0.614204 | + | 0.789148i | \(0.710523\pi\) | |||||||
\(42\) | 0.614230i | 0.0947778i | ||||||||
\(43\) | 5.97016i | 0.910441i | 0.890379 | + | 0.455221i | \(0.150440\pi\) | ||||
−0.890379 | + | 0.455221i | \(0.849560\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.01340 | + | 1.99324i | −0.151069 | + | 0.297135i | ||||
\(46\) | 10.8438 | 1.59883 | ||||||||
\(47\) | − | 6.13097i | − | 0.894294i | −0.894461 | − | 0.447147i | \(-0.852440\pi\) | ||
0.894461 | − | 0.447147i | \(-0.147560\pi\) | |||||||
\(48\) | 3.08252i | 0.444923i | ||||||||
\(49\) | 6.76643 | 0.966633 | ||||||||
\(50\) | 5.13445 | − | 3.74422i | 0.726120 | − | 0.529512i | ||||
\(51\) | −2.51013 | −0.351488 | ||||||||
\(52\) | − | 1.20965i | − | 0.167748i | ||||||
\(53\) | − | 1.58220i | − | 0.217332i | −0.994078 | − | 0.108666i | \(-0.965342\pi\) | ||
0.994078 | − | 0.108666i | \(-0.0346579\pi\) | |||||||
\(54\) | −1.27093 | −0.172952 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.46477 | −0.195739 | ||||||||
\(57\) | − | 3.72015i | − | 0.492746i | ||||||
\(58\) | 12.6876i | 1.66597i | ||||||||
\(59\) | 0.377932 | 0.0492026 | 0.0246013 | − | 0.999697i | \(-0.492168\pi\) | ||||
0.0246013 | + | 0.999697i | \(0.492168\pi\) | |||||||
\(60\) | −0.766865 | − | 0.389888i | −0.0990018 | − | 0.0503343i | ||||
\(61\) | 3.00852 | 0.385201 | 0.192600 | − | 0.981277i | \(-0.438308\pi\) | ||||
0.192600 | + | 0.981277i | \(0.438308\pi\) | |||||||
\(62\) | − | 7.35850i | − | 0.934530i | ||||||
\(63\) | − | 0.483291i | − | 0.0608890i | ||||||
\(64\) | −8.88991 | −1.11124 | ||||||||
\(65\) | −6.26701 | − | 3.18626i | −0.777326 | − | 0.395207i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 5.98082i | − | 0.730674i | −0.930875 | − | 0.365337i | \(-0.880954\pi\) | ||
0.930875 | − | 0.365337i | \(-0.119046\pi\) | |||||||
\(68\) | − | 0.965727i | − | 0.117112i | ||||||
\(69\) | −8.53218 | −1.02715 | ||||||||
\(70\) | −0.622461 | + | 1.22431i | −0.0743983 | + | 0.146333i | ||||
\(71\) | 8.34418 | 0.990272 | 0.495136 | − | 0.868815i | \(-0.335118\pi\) | ||||
0.495136 | + | 0.868815i | \(0.335118\pi\) | |||||||
\(72\) | − | 3.03083i | − | 0.357187i | ||||||
\(73\) | 0.151416i | 0.0177219i | 0.999961 | + | 0.00886093i | \(0.00282056\pi\) | ||||
−0.999961 | + | 0.00886093i | \(0.997179\pi\) | |||||||
\(74\) | −4.07670 | −0.473907 | ||||||||
\(75\) | −4.03991 | + | 2.94604i | −0.466488 | + | 0.340179i | ||||
\(76\) | 1.43126 | 0.164177 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 3.99597i | − | 0.452454i | ||||||
\(79\) | −7.48541 | −0.842175 | −0.421087 | − | 0.907020i | \(-0.638351\pi\) | ||||
−0.421087 | + | 0.907020i | \(0.638351\pi\) | |||||||
\(80\) | −3.12382 | + | 6.14421i | −0.349254 | + | 0.686943i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 9.99670i | − | 1.10395i | ||||||
\(83\) | − | 4.05723i | − | 0.445339i | −0.974894 | − | 0.222669i | \(-0.928523\pi\) | ||
0.974894 | − | 0.222669i | \(-0.0714770\pi\) | |||||||
\(84\) | 0.185938 | 0.0202875 | ||||||||
\(85\) | −5.00330 | − | 2.54377i | −0.542684 | − | 0.275910i | ||||
\(86\) | −7.58767 | −0.818200 | ||||||||
\(87\) | − | 9.98293i | − | 1.07028i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 17.0317 | 1.80535 | 0.902677 | − | 0.430318i | \(-0.141599\pi\) | ||||
0.902677 | + | 0.430318i | \(0.141599\pi\) | |||||||
\(90\) | −2.53328 | − | 1.28796i | −0.267031 | − | 0.135763i | ||||
\(91\) | 1.51953 | 0.159290 | ||||||||
\(92\) | − | 3.28260i | − | 0.342235i | ||||||
\(93\) | 5.78984i | 0.600379i | ||||||||
\(94\) | 7.79204 | 0.803688 | ||||||||
\(95\) | 3.77000 | − | 7.41516i | 0.386794 | − | 0.760779i | ||||
\(96\) | 2.14399 | 0.218821 | ||||||||
\(97\) | − | 3.60977i | − | 0.366517i | −0.983065 | − | 0.183259i | \(-0.941335\pi\) | ||
0.983065 | − | 0.183259i | \(-0.0586645\pi\) | |||||||
\(98\) | 8.59967i | 0.868698i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.13344 | − | 1.55428i | −0.113344 | − | 0.155428i | ||||
\(101\) | 7.59573 | 0.755803 | 0.377902 | − | 0.925846i | \(-0.376646\pi\) | ||||
0.377902 | + | 0.925846i | \(0.376646\pi\) | |||||||
\(102\) | − | 3.19020i | − | 0.315877i | ||||||
\(103\) | − | 3.80758i | − | 0.375172i | −0.982248 | − | 0.187586i | \(-0.939934\pi\) | ||
0.982248 | − | 0.187586i | \(-0.0600663\pi\) | |||||||
\(104\) | 9.52931 | 0.934426 | ||||||||
\(105\) | 0.489767 | − | 0.963317i | 0.0477964 | − | 0.0940101i | ||||
\(106\) | 2.01087 | 0.195313 | ||||||||
\(107\) | 0.477465i | 0.0461583i | 0.999734 | + | 0.0230791i | \(0.00734697\pi\) | ||||
−0.999734 | + | 0.0230791i | \(0.992653\pi\) | |||||||
\(108\) | 0.384732i | 0.0370209i | ||||||||
\(109\) | 6.92083 | 0.662895 | 0.331447 | − | 0.943474i | \(-0.392463\pi\) | ||||
0.331447 | + | 0.943474i | \(0.392463\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.20765 | 0.304456 | ||||||||
\(112\) | − | 1.48975i | − | 0.140768i | ||||||
\(113\) | − | 10.8641i | − | 1.02201i | −0.859578 | − | 0.511004i | \(-0.829274\pi\) | ||
0.859578 | − | 0.511004i | \(-0.170726\pi\) | |||||||
\(114\) | 4.72805 | 0.442823 | ||||||||
\(115\) | −17.0067 | − | 8.64651i | −1.58588 | − | 0.806291i | ||||
\(116\) | 3.84075 | 0.356605 | ||||||||
\(117\) | 3.14412i | 0.290674i | ||||||||
\(118\) | 0.480326i | 0.0442176i | ||||||||
\(119\) | 1.21312 | 0.111207 | ||||||||
\(120\) | 3.07145 | − | 6.04119i | 0.280383 | − | 0.551482i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.82362i | 0.346174i | ||||||||
\(123\) | 7.86565i | 0.709221i | ||||||||
\(124\) | −2.22754 | −0.200039 | ||||||||
\(125\) | −11.0380 | + | 1.77813i | −0.987272 | + | 0.159041i | ||||
\(126\) | 0.614230 | 0.0547200 | ||||||||
\(127\) | 5.99218i | 0.531720i | 0.964012 | + | 0.265860i | \(0.0856559\pi\) | ||||
−0.964012 | + | 0.265860i | \(0.914344\pi\) | |||||||
\(128\) | − | 7.01048i | − | 0.619644i | ||||||
\(129\) | 5.97016 | 0.525644 | ||||||||
\(130\) | 4.04952 | − | 7.96494i | 0.355166 | − | 0.698571i | ||||
\(131\) | −10.9819 | −0.959491 | −0.479746 | − | 0.877408i | \(-0.659271\pi\) | ||||
−0.479746 | + | 0.877408i | \(0.659271\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.79791i | 0.155899i | ||||||||
\(134\) | 7.60122 | 0.656645 | ||||||||
\(135\) | 1.99324 | + | 1.01340i | 0.171551 | + | 0.0872196i | ||||
\(136\) | 7.60778 | 0.652362 | ||||||||
\(137\) | 1.09210i | 0.0933043i | 0.998911 | + | 0.0466522i | \(0.0148552\pi\) | ||||
−0.998911 | + | 0.0466522i | \(0.985145\pi\) | |||||||
\(138\) | − | 10.8438i | − | 0.923087i | ||||||
\(139\) | 8.42516 | 0.714613 | 0.357306 | − | 0.933987i | \(-0.383695\pi\) | ||||
0.357306 | + | 0.933987i | \(0.383695\pi\) | |||||||
\(140\) | 0.370619 | + | 0.188429i | 0.0313230 | + | 0.0159252i | ||||
\(141\) | −6.13097 | −0.516321 | ||||||||
\(142\) | 10.6049i | 0.889943i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 3.08252 | 0.256876 | ||||||||
\(145\) | 10.1167 | − | 19.8984i | 0.840146 | − | 1.65247i | ||||
\(146\) | −0.192439 | −0.0159264 | ||||||||
\(147\) | − | 6.76643i | − | 0.558086i | ||||||
\(148\) | 1.23408i | 0.101441i | ||||||||
\(149\) | −17.2296 | −1.41151 | −0.705754 | − | 0.708457i | \(-0.749391\pi\) | ||||
−0.705754 | + | 0.708457i | \(0.749391\pi\) | |||||||
\(150\) | −3.74422 | − | 5.13445i | −0.305714 | − | 0.419226i | ||||
\(151\) | −13.0838 | −1.06475 | −0.532374 | − | 0.846509i | \(-0.678700\pi\) | ||||
−0.532374 | + | 0.846509i | \(0.678700\pi\) | |||||||
\(152\) | 11.2751i | 0.914535i | ||||||||
\(153\) | 2.51013i | 0.202932i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.86743 | + | 11.5406i | −0.471283 | + | 0.926961i | ||||
\(156\) | −1.20965 | −0.0968492 | ||||||||
\(157\) | 23.5086i | 1.87619i | 0.346379 | + | 0.938095i | \(0.387411\pi\) | ||||
−0.346379 | + | 0.938095i | \(0.612589\pi\) | |||||||
\(158\) | − | 9.51345i | − | 0.756849i | ||||||
\(159\) | −1.58220 | −0.125477 | ||||||||
\(160\) | 4.27350 | + | 2.17273i | 0.337850 | + | 0.171769i | ||||
\(161\) | 4.12353 | 0.324979 | ||||||||
\(162\) | 1.27093i | 0.0998538i | ||||||||
\(163\) | 19.9396i | 1.56179i | 0.624663 | + | 0.780895i | \(0.285236\pi\) | ||||
−0.624663 | + | 0.780895i | \(0.714764\pi\) | |||||||
\(164\) | −3.02617 | −0.236304 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.15646 | 0.400219 | ||||||||
\(167\) | − | 19.2762i | − | 1.49164i | −0.666149 | − | 0.745819i | \(-0.732058\pi\) | ||
0.666149 | − | 0.745819i | \(-0.267942\pi\) | |||||||
\(168\) | 1.46477i | 0.113010i | ||||||||
\(169\) | 3.11448 | 0.239575 | ||||||||
\(170\) | 3.23295 | − | 6.35885i | 0.247956 | − | 0.487702i | ||||
\(171\) | −3.72015 | −0.284487 | ||||||||
\(172\) | 2.29691i | 0.175138i | ||||||||
\(173\) | 3.86887i | 0.294145i | 0.989126 | + | 0.147072i | \(0.0469851\pi\) | ||||
−0.989126 | + | 0.147072i | \(0.953015\pi\) | |||||||
\(174\) | 12.6876 | 0.961846 | ||||||||
\(175\) | 1.95245 | − | 1.42379i | 0.147591 | − | 0.107629i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 0.377932i | − | 0.0284071i | ||||||
\(178\) | 21.6461i | 1.62244i | ||||||||
\(179\) | 17.1863 | 1.28456 | 0.642282 | − | 0.766469i | \(-0.277988\pi\) | ||||
0.642282 | + | 0.766469i | \(0.277988\pi\) | |||||||
\(180\) | −0.389888 | + | 0.766865i | −0.0290605 | + | 0.0571587i | ||||
\(181\) | −6.98972 | −0.519542 | −0.259771 | − | 0.965670i | \(-0.583647\pi\) | ||||
−0.259771 | + | 0.965670i | \(0.583647\pi\) | |||||||
\(182\) | 1.93122i | 0.143151i | ||||||||
\(183\) | − | 3.00852i | − | 0.222396i | ||||||
\(184\) | 25.8596 | 1.90639 | ||||||||
\(185\) | 6.39362 | + | 3.25063i | 0.470068 | + | 0.238991i | ||||
\(186\) | −7.35850 | −0.539551 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 2.35878i | − | 0.172032i | ||||||
\(189\) | −0.483291 | −0.0351543 | ||||||||
\(190\) | 9.42416 | + | 4.79141i | 0.683701 | + | 0.347606i | ||||
\(191\) | −9.99835 | −0.723455 | −0.361727 | − | 0.932284i | \(-0.617813\pi\) | ||||
−0.361727 | + | 0.932284i | \(0.617813\pi\) | |||||||
\(192\) | 8.88991i | 0.641574i | ||||||||
\(193\) | 23.7968i | 1.71293i | 0.516205 | + | 0.856465i | \(0.327344\pi\) | ||||
−0.516205 | + | 0.856465i | \(0.672656\pi\) | |||||||
\(194\) | 4.58778 | 0.329383 | ||||||||
\(195\) | −3.18626 | + | 6.26701i | −0.228173 | + | 0.448790i | ||||
\(196\) | 2.60326 | 0.185947 | ||||||||
\(197\) | − | 24.6381i | − | 1.75539i | −0.479221 | − | 0.877694i | \(-0.659081\pi\) | ||
0.479221 | − | 0.877694i | \(-0.340919\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.3559 | 1.08855 | 0.544277 | − | 0.838906i | \(-0.316804\pi\) | ||||
0.544277 | + | 0.838906i | \(0.316804\pi\) | |||||||
\(200\) | 12.2443 | − | 8.92895i | 0.865801 | − | 0.631372i | ||||
\(201\) | −5.98082 | −0.421855 | ||||||||
\(202\) | 9.65365i | 0.679229i | ||||||||
\(203\) | 4.82466i | 0.338625i | ||||||||
\(204\) | −0.965727 | −0.0676144 | ||||||||
\(205\) | −7.97105 | + | 15.6781i | −0.556722 | + | 1.09501i | ||||
\(206\) | 4.83918 | 0.337161 | ||||||||
\(207\) | 8.53218i | 0.593027i | ||||||||
\(208\) | 9.69182i | 0.672007i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.22431 | + | 0.622461i | 0.0844854 | + | 0.0429539i | ||||
\(211\) | −25.8608 | −1.78033 | −0.890165 | − | 0.455639i | \(-0.849411\pi\) | ||||
−0.890165 | + | 0.455639i | \(0.849411\pi\) | |||||||
\(212\) | − | 0.608723i | − | 0.0418073i | ||||||
\(213\) | − | 8.34418i | − | 0.571734i | ||||||
\(214\) | −0.606826 | −0.0414817 | ||||||||
\(215\) | 11.9000 | + | 6.05017i | 0.811572 | + | 0.412618i | ||||
\(216\) | −3.03083 | −0.206222 | ||||||||
\(217\) | − | 2.79818i | − | 0.189953i | ||||||
\(218\) | 8.79590i | 0.595733i | ||||||||
\(219\) | 0.151416 | 0.0102317 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.89216 | −0.530884 | ||||||||
\(222\) | 4.07670i | 0.273610i | ||||||||
\(223\) | 5.36807i | 0.359473i | 0.983715 | + | 0.179736i | \(0.0575244\pi\) | ||||
−0.983715 | + | 0.179736i | \(0.942476\pi\) | |||||||
\(224\) | −1.03617 | −0.0692323 | ||||||||
\(225\) | 2.94604 | + | 4.03991i | 0.196403 | + | 0.269327i | ||||
\(226\) | 13.8075 | 0.918463 | ||||||||
\(227\) | 7.72444i | 0.512689i | 0.966585 | + | 0.256345i | \(0.0825182\pi\) | ||||
−0.966585 | + | 0.256345i | \(0.917482\pi\) | |||||||
\(228\) | − | 1.43126i | − | 0.0947875i | ||||||
\(229\) | −8.08159 | −0.534047 | −0.267023 | − | 0.963690i | \(-0.586040\pi\) | ||||
−0.267023 | + | 0.963690i | \(0.586040\pi\) | |||||||
\(230\) | 10.9891 | − | 21.6144i | 0.724602 | − | 1.42521i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 30.2566i | 1.98644i | ||||||||
\(233\) | 25.4908i | 1.66996i | 0.550280 | + | 0.834980i | \(0.314521\pi\) | ||||
−0.550280 | + | 0.834980i | \(0.685479\pi\) | |||||||
\(234\) | −3.99597 | −0.261225 | ||||||||
\(235\) | −12.2205 | − | 6.21313i | −0.797178 | − | 0.405300i | ||||
\(236\) | 0.145403 | 0.00946491 | ||||||||
\(237\) | 7.48541i | 0.486230i | ||||||||
\(238\) | 1.54180i | 0.0999398i | ||||||||
\(239\) | −0.928865 | −0.0600833 | −0.0300417 | − | 0.999549i | \(-0.509564\pi\) | ||||
−0.0300417 | + | 0.999549i | \(0.509564\pi\) | |||||||
\(240\) | 6.14421 | + | 3.12382i | 0.396607 | + | 0.201642i | ||||
\(241\) | 10.3759 | 0.668369 | 0.334184 | − | 0.942508i | \(-0.391539\pi\) | ||||
0.334184 | + | 0.942508i | \(0.391539\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 1.15747 | 0.0740996 | ||||||||
\(245\) | 6.85710 | − | 13.4871i | 0.438084 | − | 0.861662i | ||||
\(246\) | −9.99670 | −0.637366 | ||||||||
\(247\) | − | 11.6966i | − | 0.744237i | ||||||
\(248\) | − | 17.5480i | − | 1.11430i | ||||||
\(249\) | −4.05723 | −0.257116 | ||||||||
\(250\) | −2.25988 | − | 14.0286i | −0.142928 | − | 0.887246i | ||||
\(251\) | 23.5461 | 1.48621 | 0.743107 | − | 0.669172i | \(-0.233351\pi\) | ||||
0.743107 | + | 0.669172i | \(0.233351\pi\) | |||||||
\(252\) | − | 0.185938i | − | 0.0117130i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −7.61566 | −0.477849 | ||||||||
\(255\) | −2.54377 | + | 5.00330i | −0.159297 | + | 0.313319i | ||||
\(256\) | −8.86997 | −0.554373 | ||||||||
\(257\) | 16.0996i | 1.00427i | 0.864791 | + | 0.502133i | \(0.167451\pi\) | ||||
−0.864791 | + | 0.502133i | \(0.832549\pi\) | |||||||
\(258\) | 7.58767i | 0.472388i | ||||||||
\(259\) | −1.55023 | −0.0963264 | ||||||||
\(260\) | −2.41112 | − | 1.22586i | −0.149531 | − | 0.0760243i | ||||
\(261\) | −9.98293 | −0.617928 | ||||||||
\(262\) | − | 13.9572i | − | 0.862280i | ||||||
\(263\) | 2.19036i | 0.135063i | 0.997717 | + | 0.0675316i | \(0.0215124\pi\) | ||||
−0.997717 | + | 0.0675316i | \(0.978488\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.15371 | − | 1.60340i | −0.193731 | − | 0.0984962i | ||||
\(266\) | −2.28503 | −0.140104 | ||||||||
\(267\) | − | 17.0317i | − | 1.04232i | ||||||
\(268\) | − | 2.30101i | − | 0.140557i | ||||||
\(269\) | 10.4351 | 0.636237 | 0.318119 | − | 0.948051i | \(-0.396949\pi\) | ||||
0.318119 | + | 0.948051i | \(0.396949\pi\) | |||||||
\(270\) | −1.28796 | + | 2.53328i | −0.0783829 | + | 0.154170i | ||||
\(271\) | −1.72943 | −0.105055 | −0.0525277 | − | 0.998619i | \(-0.516728\pi\) | ||||
−0.0525277 | + | 0.998619i | \(0.516728\pi\) | |||||||
\(272\) | 7.73751i | 0.469156i | ||||||||
\(273\) | − | 1.51953i | − | 0.0919660i | ||||||
\(274\) | −1.38798 | −0.0838511 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.28260 | −0.197589 | ||||||||
\(277\) | 11.6390i | 0.699321i | 0.936876 | + | 0.349661i | \(0.113703\pi\) | ||||
−0.936876 | + | 0.349661i | \(0.886297\pi\) | |||||||
\(278\) | 10.7078i | 0.642211i | ||||||||
\(279\) | 5.78984 | 0.346629 | ||||||||
\(280\) | −1.48440 | + | 2.91965i | −0.0887100 | + | 0.174483i | ||||
\(281\) | 12.0160 | 0.716817 | 0.358408 | − | 0.933565i | \(-0.383320\pi\) | ||||
0.358408 | + | 0.933565i | \(0.383320\pi\) | |||||||
\(282\) | − | 7.79204i | − | 0.464009i | ||||||
\(283\) | 27.5894i | 1.64002i | 0.572347 | + | 0.820011i | \(0.306033\pi\) | ||||
−0.572347 | + | 0.820011i | \(0.693967\pi\) | |||||||
\(284\) | 3.21028 | 0.190495 | ||||||||
\(285\) | −7.41516 | − | 3.77000i | −0.439236 | − | 0.223315i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 3.80140i | − | 0.224389i | ||||||
\(288\) | − | 2.14399i | − | 0.126336i | ||||||
\(289\) | 10.6993 | 0.629368 | ||||||||
\(290\) | 25.2895 | + | 12.8576i | 1.48505 | + | 0.755026i | ||||
\(291\) | −3.60977 | −0.211609 | ||||||||
\(292\) | 0.0582544i | 0.00340908i | ||||||||
\(293\) | − | 3.42861i | − | 0.200301i | −0.994972 | − | 0.100151i | \(-0.968067\pi\) | ||
0.994972 | − | 0.100151i | \(-0.0319325\pi\) | |||||||
\(294\) | 8.59967 | 0.501543 | ||||||||
\(295\) | 0.382997 | − | 0.753311i | 0.0222989 | − | 0.0438595i | ||||
\(296\) | −9.72183 | −0.565070 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 21.8977i | − | 1.26850i | ||||||
\(299\) | −26.8262 | −1.55140 | ||||||||
\(300\) | −1.55428 | + | 1.13344i | −0.0897365 | + | 0.0654390i | ||||
\(301\) | −2.88533 | −0.166307 | ||||||||
\(302\) | − | 16.6287i | − | 0.956872i | ||||||
\(303\) | − | 7.59573i | − | 0.436363i | ||||||
\(304\) | −11.4674 | −0.657702 | ||||||||
\(305\) | 3.04883 | − | 5.99670i | 0.174576 | − | 0.343370i | ||||
\(306\) | −3.19020 | −0.182372 | ||||||||
\(307\) | 15.3337i | 0.875140i | 0.899184 | + | 0.437570i | \(0.144161\pi\) | ||||
−0.899184 | + | 0.437570i | \(0.855839\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −3.80758 | −0.216606 | ||||||||
\(310\) | −14.6673 | − | 7.45710i | −0.833045 | − | 0.423535i | ||||
\(311\) | −4.34207 | −0.246216 | −0.123108 | − | 0.992393i | \(-0.539286\pi\) | ||||
−0.123108 | + | 0.992393i | \(0.539286\pi\) | |||||||
\(312\) | − | 9.52931i | − | 0.539491i | ||||||
\(313\) | 10.4437i | 0.590311i | 0.955449 | + | 0.295155i | \(0.0953714\pi\) | ||||
−0.955449 | + | 0.295155i | \(0.904629\pi\) | |||||||
\(314\) | −29.8778 | −1.68610 | ||||||||
\(315\) | −0.963317 | − | 0.489767i | −0.0542768 | − | 0.0275953i | ||||
\(316\) | −2.87988 | −0.162006 | ||||||||
\(317\) | − | 16.6411i | − | 0.934658i | −0.884084 | − | 0.467329i | \(-0.845216\pi\) | ||
0.884084 | − | 0.467329i | \(-0.154784\pi\) | |||||||
\(318\) | − | 2.01087i | − | 0.112764i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −9.00903 | + | 17.7197i | −0.503620 | + | 0.990564i | ||||
\(321\) | 0.477465 | 0.0266495 | ||||||||
\(322\) | 5.24072i | 0.292054i | ||||||||
\(323\) | − | 9.33805i | − | 0.519583i | ||||||
\(324\) | 0.384732 | 0.0213740 | ||||||||
\(325\) | −12.7020 | + | 9.26272i | −0.704579 | + | 0.513803i | ||||
\(326\) | −25.3419 | −1.40356 | ||||||||
\(327\) | − | 6.92083i | − | 0.382723i | ||||||
\(328\) | − | 23.8395i | − | 1.31631i | ||||||
\(329\) | 2.96304 | 0.163358 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −32.0054 | −1.75917 | −0.879587 | − | 0.475738i | \(-0.842181\pi\) | ||||
−0.879587 | + | 0.475738i | \(0.842181\pi\) | |||||||
\(332\) | − | 1.56095i | − | 0.0856680i | ||||||
\(333\) | − | 3.20765i | − | 0.175778i | ||||||
\(334\) | 24.4987 | 1.34051 | ||||||||
\(335\) | −11.9212 | − | 6.06097i | −0.651327 | − | 0.331146i | ||||
\(336\) | −1.48975 | −0.0812727 | ||||||||
\(337\) | − | 14.3255i | − | 0.780359i | −0.920739 | − | 0.390179i | \(-0.872413\pi\) | ||
0.920739 | − | 0.390179i | \(-0.127587\pi\) | |||||||
\(338\) | 3.95829i | 0.215303i | ||||||||
\(339\) | −10.8641 | −0.590057 | ||||||||
\(340\) | −1.92493 | − | 0.978668i | −0.104394 | − | 0.0530757i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 4.72805i | − | 0.255664i | ||||||
\(343\) | 6.65319i | 0.359239i | ||||||||
\(344\) | −18.0946 | −0.975593 | ||||||||
\(345\) | −8.64651 | + | 17.0067i | −0.465512 | + | 0.915610i | ||||
\(346\) | −4.91707 | −0.264344 | ||||||||
\(347\) | 16.0635i | 0.862334i | 0.902272 | + | 0.431167i | \(0.141898\pi\) | ||||
−0.902272 | + | 0.431167i | \(0.858102\pi\) | |||||||
\(348\) | − | 3.84075i | − | 0.205886i | ||||||
\(349\) | −3.97683 | −0.212875 | −0.106437 | − | 0.994319i | \(-0.533944\pi\) | ||||
−0.106437 | + | 0.994319i | \(0.533944\pi\) | |||||||
\(350\) | 1.80955 | + | 2.48143i | 0.0967243 | + | 0.132638i | ||||
\(351\) | 3.14412 | 0.167821 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 9.37575i | − | 0.499021i | −0.968372 | − | 0.249510i | \(-0.919730\pi\) | ||
0.968372 | − | 0.249510i | \(-0.0802696\pi\) | |||||||
\(354\) | 0.480326 | 0.0255291 | ||||||||
\(355\) | 8.45600 | − | 16.6320i | 0.448798 | − | 0.882734i | ||||
\(356\) | 6.55263 | 0.347289 | ||||||||
\(357\) | − | 1.21312i | − | 0.0642053i | ||||||
\(358\) | 21.8426i | 1.15442i | ||||||||
\(359\) | −21.7374 | −1.14725 | −0.573627 | − | 0.819117i | \(-0.694464\pi\) | ||||
−0.573627 | + | 0.819117i | \(0.694464\pi\) | |||||||
\(360\) | −6.04119 | − | 3.07145i | −0.318398 | − | 0.161879i | ||||
\(361\) | −5.16050 | −0.271605 | ||||||||
\(362\) | − | 8.88346i | − | 0.466904i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.584611 | 0.0306419 | ||||||||
\(365\) | 0.301808 | + | 0.153445i | 0.0157974 | + | 0.00803166i | ||||
\(366\) | 3.82362 | 0.199864 | ||||||||
\(367\) | 31.3823i | 1.63814i | 0.573690 | + | 0.819072i | \(0.305511\pi\) | ||||
−0.573690 | + | 0.819072i | \(0.694489\pi\) | |||||||
\(368\) | 26.3006i | 1.37101i | ||||||||
\(369\) | 7.86565 | 0.409469 | ||||||||
\(370\) | −4.13133 | + | 8.12585i | −0.214778 | + | 0.422443i | ||||
\(371\) | 0.764663 | 0.0396993 | ||||||||
\(372\) | 2.22754i | 0.115493i | ||||||||
\(373\) | 23.2675i | 1.20475i | 0.798214 | + | 0.602374i | \(0.205778\pi\) | ||||
−0.798214 | + | 0.602374i | \(0.794222\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.77813 | + | 11.0380i | 0.0918223 | + | 0.570002i | ||||
\(376\) | 18.5819 | 0.958290 | ||||||||
\(377\) | − | 31.3876i | − | 1.61654i | ||||||
\(378\) | − | 0.614230i | − | 0.0315926i | ||||||
\(379\) | −13.2493 | −0.680573 | −0.340286 | − | 0.940322i | \(-0.610524\pi\) | ||||
−0.340286 | + | 0.940322i | \(0.610524\pi\) | |||||||
\(380\) | 1.45044 | − | 2.85285i | 0.0744060 | − | 0.146348i | ||||
\(381\) | 5.99218 | 0.306989 | ||||||||
\(382\) | − | 12.7072i | − | 0.650158i | ||||||
\(383\) | − | 20.6481i | − | 1.05507i | −0.849534 | − | 0.527534i | \(-0.823117\pi\) | ||
0.849534 | − | 0.527534i | \(-0.176883\pi\) | |||||||
\(384\) | −7.01048 | −0.357752 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −30.2441 | −1.53938 | ||||||||
\(387\) | − | 5.97016i | − | 0.303480i | ||||||
\(388\) | − | 1.38880i | − | 0.0705054i | ||||||
\(389\) | −22.8485 | −1.15847 | −0.579233 | − | 0.815162i | \(-0.696648\pi\) | ||||
−0.579233 | + | 0.815162i | \(0.696648\pi\) | |||||||
\(390\) | −7.96494 | − | 4.04952i | −0.403320 | − | 0.205055i | ||||
\(391\) | −21.4169 | −1.08310 | ||||||||
\(392\) | 20.5079i | 1.03581i | ||||||||
\(393\) | 10.9819i | 0.553963i | ||||||||
\(394\) | 31.3133 | 1.57754 | ||||||||
\(395\) | −7.58572 | + | 14.9203i | −0.381679 | + | 0.750719i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.71249i | 0.387079i | 0.981093 | + | 0.193539i | \(0.0619967\pi\) | ||||
−0.981093 | + | 0.193539i | \(0.938003\pi\) | |||||||
\(398\) | 19.5164i | 0.978267i | ||||||||
\(399\) | 1.79791 | 0.0900083 | ||||||||
\(400\) | 9.08122 | + | 12.4531i | 0.454061 | + | 0.622654i | ||||
\(401\) | −8.19088 | −0.409033 | −0.204516 | − | 0.978863i | \(-0.565562\pi\) | ||||
−0.204516 | + | 0.978863i | \(0.565562\pi\) | |||||||
\(402\) | − | 7.60122i | − | 0.379114i | ||||||
\(403\) | 18.2040i | 0.906805i | ||||||||
\(404\) | 2.92232 | 0.145391 | ||||||||
\(405\) | 1.01340 | − | 1.99324i | 0.0503563 | − | 0.0990451i | ||||
\(406\) | −6.13181 | −0.304317 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 7.60778i | − | 0.376641i | ||||||
\(409\) | 3.42306 | 0.169260 | 0.0846298 | − | 0.996412i | \(-0.473029\pi\) | ||||
0.0846298 | + | 0.996412i | \(0.473029\pi\) | |||||||
\(410\) | −19.9259 | − | 10.1307i | −0.984068 | − | 0.500318i | ||||
\(411\) | 1.09210 | 0.0538693 | ||||||||
\(412\) | − | 1.46490i | − | 0.0721704i | ||||||
\(413\) | 0.182651i | 0.00898769i | ||||||||
\(414\) | −10.8438 | −0.532944 | ||||||||
\(415\) | −8.08704 | − | 4.11160i | −0.396977 | − | 0.201830i | ||||
\(416\) | 6.74099 | 0.330504 | ||||||||
\(417\) | − | 8.42516i | − | 0.412582i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 18.3593 | 0.896910 | 0.448455 | − | 0.893805i | \(-0.351974\pi\) | ||||
0.448455 | + | 0.893805i | \(0.351974\pi\) | |||||||
\(420\) | 0.188429 | − | 0.370619i | 0.00919440 | − | 0.0180843i | ||||
\(421\) | 35.5774 | 1.73394 | 0.866968 | − | 0.498363i | \(-0.166065\pi\) | ||||
0.866968 | + | 0.498363i | \(0.166065\pi\) | |||||||
\(422\) | − | 32.8673i | − | 1.59995i | ||||||
\(423\) | 6.13097i | 0.298098i | ||||||||
\(424\) | 4.79538 | 0.232884 | ||||||||
\(425\) | −10.1407 | + | 7.39494i | −0.491896 | + | 0.358707i | ||||
\(426\) | 10.6049 | 0.513809 | ||||||||
\(427\) | 1.45399i | 0.0703634i | ||||||||
\(428\) | 0.183696i | 0.00887929i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.68935 | + | 15.1241i | −0.370813 | + | 0.729348i | ||||
\(431\) | −10.7944 | −0.519947 | −0.259973 | − | 0.965616i | \(-0.583714\pi\) | ||||
−0.259973 | + | 0.965616i | \(0.583714\pi\) | |||||||
\(432\) | − | 3.08252i | − | 0.148308i | ||||||
\(433\) | − | 11.1184i | − | 0.534316i | −0.963653 | − | 0.267158i | \(-0.913915\pi\) | ||
0.963653 | − | 0.267158i | \(-0.0860845\pi\) | |||||||
\(434\) | 3.55630 | 0.170708 | ||||||||
\(435\) | −19.8984 | − | 10.1167i | −0.954055 | − | 0.485059i | ||||
\(436\) | 2.66266 | 0.127518 | ||||||||
\(437\) | − | 31.7410i | − | 1.51838i | ||||||
\(438\) | 0.192439i | 0.00919509i | ||||||||
\(439\) | 12.5701 | 0.599937 | 0.299969 | − | 0.953949i | \(-0.403024\pi\) | ||||
0.299969 | + | 0.953949i | \(0.403024\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.76643 | −0.322211 | ||||||||
\(442\) | − | 10.0304i | − | 0.477097i | ||||||
\(443\) | 20.5582i | 0.976751i | 0.872633 | + | 0.488376i | \(0.162410\pi\) | ||||
−0.872633 | + | 0.488376i | \(0.837590\pi\) | |||||||
\(444\) | 1.23408 | 0.0585670 | ||||||||
\(445\) | 17.2599 | − | 33.9483i | 0.818198 | − | 1.60930i | ||||
\(446\) | −6.82245 | −0.323052 | ||||||||
\(447\) | 17.2296i | 0.814934i | ||||||||
\(448\) | − | 4.29641i | − | 0.202986i | ||||||
\(449\) | −14.3890 | −0.679057 | −0.339528 | − | 0.940596i | \(-0.610267\pi\) | ||||
−0.339528 | + | 0.940596i | \(0.610267\pi\) | |||||||
\(450\) | −5.13445 | + | 3.74422i | −0.242040 | + | 0.176504i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 4.17977i | − | 0.196600i | ||||||
\(453\) | 13.0838i | 0.614732i | ||||||||
\(454\) | −9.81724 | −0.460746 | ||||||||
\(455\) | 1.53989 | − | 3.02879i | 0.0721911 | − | 0.141992i | ||||
\(456\) | 11.2751 | 0.528007 | ||||||||
\(457\) | − | 11.2947i | − | 0.528344i | −0.964476 | − | 0.264172i | \(-0.914901\pi\) | ||
0.964476 | − | 0.264172i | \(-0.0850986\pi\) | |||||||
\(458\) | − | 10.2712i | − | 0.479939i | ||||||
\(459\) | 2.51013 | 0.117163 | ||||||||
\(460\) | −6.54303 | − | 3.32659i | −0.305070 | − | 0.155103i | ||||
\(461\) | 35.8299 | 1.66876 | 0.834382 | − | 0.551186i | \(-0.185825\pi\) | ||||
0.834382 | + | 0.551186i | \(0.185825\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 30.6184i | − | 1.42296i | −0.702708 | − | 0.711479i | \(-0.748026\pi\) | ||
0.702708 | − | 0.711479i | \(-0.251974\pi\) | |||||||
\(464\) | −30.7725 | −1.42858 | ||||||||
\(465\) | 11.5406 | + | 5.86743i | 0.535181 | + | 0.272096i | ||||
\(466\) | −32.3971 | −1.50077 | ||||||||
\(467\) | 40.0654i | 1.85400i | 0.375055 | + | 0.927002i | \(0.377624\pi\) | ||||
−0.375055 | + | 0.927002i | \(0.622376\pi\) | |||||||
\(468\) | 1.20965i | 0.0559159i | ||||||||
\(469\) | 2.89048 | 0.133470 | ||||||||
\(470\) | 7.89646 | − | 15.5314i | 0.364236 | − | 0.716412i | ||||
\(471\) | 23.5086 | 1.08322 | ||||||||
\(472\) | 1.14545i | 0.0527236i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −9.51345 | −0.436967 | ||||||||
\(475\) | −10.9597 | − | 15.0291i | −0.502866 | − | 0.689580i | ||||
\(476\) | 0.466727 | 0.0213924 | ||||||||
\(477\) | 1.58220i | 0.0724439i | ||||||||
\(478\) | − | 1.18052i | − | 0.0539959i | ||||||
\(479\) | −19.7191 | −0.900989 | −0.450495 | − | 0.892779i | \(-0.648752\pi\) | ||||
−0.450495 | + | 0.892779i | \(0.648752\pi\) | |||||||
\(480\) | 2.17273 | − | 4.27350i | 0.0991709 | − | 0.195058i | ||||
\(481\) | 10.0852 | 0.459847 | ||||||||
\(482\) | 13.1870i | 0.600653i | ||||||||
\(483\) | − | 4.12353i | − | 0.187627i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.19516 | − | 3.65815i | −0.326715 | − | 0.166108i | ||||
\(486\) | 1.27093 | 0.0576506 | ||||||||
\(487\) | 18.1367i | 0.821851i | 0.911669 | + | 0.410926i | \(0.134794\pi\) | ||||
−0.911669 | + | 0.410926i | \(0.865206\pi\) | |||||||
\(488\) | 9.11830i | 0.412766i | ||||||||
\(489\) | 19.9396 | 0.901699 | ||||||||
\(490\) | 17.1412 | + | 8.71491i | 0.774362 | + | 0.393699i | ||||
\(491\) | −10.8170 | −0.488165 | −0.244083 | − | 0.969754i | \(-0.578487\pi\) | ||||
−0.244083 | + | 0.969754i | \(0.578487\pi\) | |||||||
\(492\) | 3.02617i | 0.136430i | ||||||||
\(493\) | − | 25.0584i | − | 1.12857i | ||||||
\(494\) | 14.8656 | 0.668835 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.8473 | 0.801367 | ||||||||
\(497\) | 4.03267i | 0.180890i | ||||||||
\(498\) | − | 5.15646i | − | 0.231067i | ||||||
\(499\) | 5.67211 | 0.253919 | 0.126959 | − | 0.991908i | \(-0.459478\pi\) | ||||
0.126959 | + | 0.991908i | \(0.459478\pi\) | |||||||
\(500\) | −4.24669 | + | 0.684104i | −0.189918 | + | 0.0305941i | ||||
\(501\) | −19.2762 | −0.861197 | ||||||||
\(502\) | 29.9254i | 1.33564i | ||||||||
\(503\) | 31.2925i | 1.39526i | 0.716457 | + | 0.697631i | \(0.245763\pi\) | ||||
−0.716457 | + | 0.697631i | \(0.754237\pi\) | |||||||
\(504\) | 1.46477 | 0.0652462 | ||||||||
\(505\) | 7.69751 | − | 15.1401i | 0.342535 | − | 0.673727i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 3.11448i | − | 0.138319i | ||||||
\(508\) | 2.30538i | 0.102285i | ||||||||
\(509\) | 28.9798 | 1.28451 | 0.642254 | − | 0.766492i | \(-0.277999\pi\) | ||||
0.642254 | + | 0.766492i | \(0.277999\pi\) | |||||||
\(510\) | −6.35885 | − | 3.23295i | −0.281575 | − | 0.143158i | ||||
\(511\) | −0.0731778 | −0.00323720 | ||||||||
\(512\) | − | 25.2941i | − | 1.11785i | ||||||
\(513\) | 3.72015i | 0.164249i | ||||||||
\(514\) | −20.4615 | −0.902518 | ||||||||
\(515\) | −7.58944 | − | 3.85860i | −0.334430 | − | 0.170030i | ||||
\(516\) | 2.29691 | 0.101116 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 1.97023i | − | 0.0865670i | ||||||
\(519\) | 3.86887 | 0.169825 | ||||||||
\(520\) | 9.65701 | − | 18.9942i | 0.423488 | − | 0.832953i | ||||
\(521\) | 21.4302 | 0.938874 | 0.469437 | − | 0.882966i | \(-0.344457\pi\) | ||||
0.469437 | + | 0.882966i | \(0.344457\pi\) | |||||||
\(522\) | − | 12.6876i | − | 0.555322i | ||||||
\(523\) | − | 34.4628i | − | 1.50695i | −0.657475 | − | 0.753477i | \(-0.728375\pi\) | ||
0.657475 | − | 0.753477i | \(-0.271625\pi\) | |||||||
\(524\) | −4.22508 | −0.184574 | ||||||||
\(525\) | −1.42379 | − | 1.95245i | −0.0621395 | − | 0.0852120i | ||||
\(526\) | −2.78380 | −0.121379 | ||||||||
\(527\) | 14.5333i | 0.633079i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −49.7980 | −2.16513 | ||||||||
\(530\) | 2.03781 | − | 4.00815i | 0.0885170 | − | 0.174103i | ||||
\(531\) | −0.377932 | −0.0164009 | ||||||||
\(532\) | 0.691715i | 0.0299897i | ||||||||
\(533\) | 24.7306i | 1.07120i | ||||||||
\(534\) | 21.6461 | 0.936719 | ||||||||
\(535\) | 0.951704 | + | 0.483863i | 0.0411458 | + | 0.0209192i | ||||
\(536\) | 18.1269 | 0.782962 | ||||||||
\(537\) | − | 17.1863i | − | 0.741643i | ||||||
\(538\) | 13.2623i | 0.571777i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.766865 | + | 0.389888i | 0.0330006 | + | 0.0167781i | ||||
\(541\) | −16.2343 | −0.697968 | −0.348984 | − | 0.937129i | \(-0.613473\pi\) | ||||
−0.348984 | + | 0.937129i | \(0.613473\pi\) | |||||||
\(542\) | − | 2.19799i | − | 0.0944116i | ||||||
\(543\) | 6.98972i | 0.299958i | ||||||||
\(544\) | 5.38170 | 0.230739 | ||||||||
\(545\) | 7.01357 | − | 13.7949i | 0.300428 | − | 0.590908i | ||||
\(546\) | 1.93122 | 0.0826484 | ||||||||
\(547\) | − | 0.131936i | − | 0.00564119i | −0.999996 | − | 0.00282059i | \(-0.999102\pi\) | ||
0.999996 | − | 0.00282059i | \(-0.000897824\pi\) | |||||||
\(548\) | 0.420166i | 0.0179486i | ||||||||
\(549\) | −3.00852 | −0.128400 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 37.1380 | 1.58213 | ||||||||
\(552\) | − | 25.8596i | − | 1.10066i | ||||||
\(553\) | − | 3.61763i | − | 0.153837i | ||||||
\(554\) | −14.7924 | −0.628469 | ||||||||
\(555\) | 3.25063 | − | 6.39362i | 0.137982 | − | 0.271394i | ||||
\(556\) | 3.24143 | 0.137467 | ||||||||
\(557\) | 5.65287i | 0.239520i | 0.992803 | + | 0.119760i | \(0.0382125\pi\) | ||||
−0.992803 | + | 0.119760i | \(0.961788\pi\) | |||||||
\(558\) | 7.35850i | 0.311510i | ||||||||
\(559\) | 18.7709 | 0.793926 | ||||||||
\(560\) | −2.96944 | − | 1.50972i | −0.125482 | − | 0.0637972i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.2716i | 0.644192i | ||||||||
\(563\) | 35.4044i | 1.49212i | 0.665880 | + | 0.746059i | \(0.268056\pi\) | ||||
−0.665880 | + | 0.746059i | \(0.731944\pi\) | |||||||
\(564\) | −2.35878 | −0.0993226 | ||||||||
\(565\) | −21.6548 | − | 11.0097i | −0.911024 | − | 0.463181i | ||||
\(566\) | −35.0643 | −1.47386 | ||||||||
\(567\) | 0.483291i | 0.0202963i | ||||||||
\(568\) | 25.2898i | 1.06114i | ||||||||
\(569\) | −12.0702 | −0.506008 | −0.253004 | − | 0.967465i | \(-0.581419\pi\) | ||||
−0.253004 | + | 0.967465i | \(0.581419\pi\) | |||||||
\(570\) | 4.79141 | − | 9.42416i | 0.200690 | − | 0.394735i | ||||
\(571\) | −2.74339 | −0.114807 | −0.0574037 | − | 0.998351i | \(-0.518282\pi\) | ||||
−0.0574037 | + | 0.998351i | \(0.518282\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.99835i | 0.417687i | ||||||||
\(574\) | 4.83132 | 0.201655 | ||||||||
\(575\) | −34.4692 | + | 25.1361i | −1.43747 | + | 1.04825i | ||||
\(576\) | 8.88991 | 0.370413 | ||||||||
\(577\) | − | 21.9217i | − | 0.912610i | −0.889823 | − | 0.456305i | \(-0.849173\pi\) | ||
0.889823 | − | 0.456305i | \(-0.150827\pi\) | |||||||
\(578\) | 13.5980i | 0.565603i | ||||||||
\(579\) | 23.7968 | 0.988961 | ||||||||
\(580\) | 3.89222 | − | 7.65555i | 0.161616 | − | 0.317880i | ||||
\(581\) | 1.96082 | 0.0813486 | ||||||||
\(582\) | − | 4.58778i | − | 0.190170i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −0.458915 | −0.0189900 | ||||||||
\(585\) | 6.26701 | + | 3.18626i | 0.259109 | + | 0.131736i | ||||
\(586\) | 4.35753 | 0.180008 | ||||||||
\(587\) | − | 15.4600i | − | 0.638104i | −0.947737 | − | 0.319052i | \(-0.896636\pi\) | ||
0.947737 | − | 0.319052i | \(-0.103364\pi\) | |||||||
\(588\) | − | 2.60326i | − | 0.107357i | ||||||
\(589\) | −21.5391 | −0.887502 | ||||||||
\(590\) | 0.957408 | + | 0.486763i | 0.0394158 | + | 0.0200397i | ||||
\(591\) | −24.6381 | −1.01347 | ||||||||
\(592\) | − | 9.88762i | − | 0.406379i | ||||||
\(593\) | 44.6178i | 1.83223i | 0.400910 | + | 0.916117i | \(0.368694\pi\) | ||||
−0.400910 | + | 0.916117i | \(0.631306\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.22938 | − | 2.41805i | 0.0503996 | − | 0.0991304i | ||||
\(596\) | −6.62880 | −0.271526 | ||||||||
\(597\) | − | 15.3559i | − | 0.628477i | ||||||
\(598\) | − | 34.0943i | − | 1.39422i | ||||||
\(599\) | −39.3156 | −1.60639 | −0.803195 | − | 0.595716i | \(-0.796868\pi\) | ||||
−0.803195 | + | 0.595716i | \(0.796868\pi\) | |||||||
\(600\) | −8.92895 | − | 12.2443i | −0.364523 | − | 0.499871i | ||||
\(601\) | −11.3809 | −0.464237 | −0.232118 | − | 0.972688i | \(-0.574566\pi\) | ||||
−0.232118 | + | 0.972688i | \(0.574566\pi\) | |||||||
\(602\) | − | 3.66705i | − | 0.149458i | ||||||
\(603\) | 5.98082i | 0.243558i | ||||||||
\(604\) | −5.03377 | −0.204821 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 9.65365 | 0.392153 | ||||||||
\(607\) | 28.9982i | 1.17700i | 0.808497 | + | 0.588500i | \(0.200281\pi\) | ||||
−0.808497 | + | 0.588500i | \(0.799719\pi\) | |||||||
\(608\) | 7.97598i | 0.323469i | ||||||||
\(609\) | 4.82466 | 0.195505 | ||||||||
\(610\) | 7.62140 | + | 3.87486i | 0.308582 | + | 0.156888i | ||||
\(611\) | −19.2765 | −0.779845 | ||||||||
\(612\) | 0.965727i | 0.0390372i | ||||||||
\(613\) | − | 13.6341i | − | 0.550675i | −0.961348 | − | 0.275337i | \(-0.911210\pi\) | ||
0.961348 | − | 0.275337i | \(-0.0887896\pi\) | |||||||
\(614\) | −19.4881 | −0.786475 | ||||||||
\(615\) | 15.6781 | + | 7.97105i | 0.632204 | + | 0.321424i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.8378i | 0.677863i | 0.940811 | + | 0.338932i | \(0.110066\pi\) | ||||
−0.940811 | + | 0.338932i | \(0.889934\pi\) | |||||||
\(618\) | − | 4.83918i | − | 0.194660i | ||||||
\(619\) | −22.3270 | −0.897396 | −0.448698 | − | 0.893683i | \(-0.648112\pi\) | ||||
−0.448698 | + | 0.893683i | \(0.648112\pi\) | |||||||
\(620\) | −2.25739 | + | 4.44003i | −0.0906589 | + | 0.178316i | ||||
\(621\) | 8.53218 | 0.342384 | ||||||||
\(622\) | − | 5.51847i | − | 0.221271i | ||||||
\(623\) | 8.23126i | 0.329778i | ||||||||
\(624\) | 9.69182 | 0.387983 | ||||||||
\(625\) | −7.64170 | + | 23.8035i | −0.305668 | + | 0.952138i | ||||
\(626\) | −13.2732 | −0.530503 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.04451i | 0.360915i | ||||||||
\(629\) | 8.05160 | 0.321038 | ||||||||
\(630\) | 0.622461 | − | 1.22431i | 0.0247994 | − | 0.0487777i | ||||
\(631\) | 12.6184 | 0.502329 | 0.251165 | − | 0.967944i | \(-0.419186\pi\) | ||||
0.251165 | + | 0.967944i | \(0.419186\pi\) | |||||||
\(632\) | − | 22.6870i | − | 0.902442i | ||||||
\(633\) | 25.8608i | 1.02787i | ||||||||
\(634\) | 21.1497 | 0.839963 | ||||||||
\(635\) | 11.9439 | + | 6.07248i | 0.473978 | + | 0.240979i | ||||
\(636\) | −0.608723 | −0.0241374 | ||||||||
\(637\) | − | 21.2745i | − | 0.842926i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −8.34418 | −0.330091 | ||||||||
\(640\) | −13.9736 | − | 7.10442i | −0.552354 | − | 0.280827i | ||||
\(641\) | −24.2601 | −0.958215 | −0.479107 | − | 0.877756i | \(-0.659040\pi\) | ||||
−0.479107 | + | 0.877756i | \(0.659040\pi\) | |||||||
\(642\) | 0.606826i | 0.0239495i | ||||||||
\(643\) | 18.6281i | 0.734619i | 0.930099 | + | 0.367310i | \(0.119721\pi\) | ||||
−0.930099 | + | 0.367310i | \(0.880279\pi\) | |||||||
\(644\) | 1.58645 | 0.0625150 | ||||||||
\(645\) | 6.05017 | − | 11.9000i | 0.238225 | − | 0.468562i | ||||
\(646\) | 11.8680 | 0.466941 | ||||||||
\(647\) | − | 3.27904i | − | 0.128912i | −0.997921 | − | 0.0644562i | \(-0.979469\pi\) | ||
0.997921 | − | 0.0644562i | \(-0.0205313\pi\) | |||||||
\(648\) | 3.03083i | 0.119062i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −11.7723 | − | 16.1433i | −0.461747 | − | 0.633194i | ||||
\(651\) | −2.79818 | −0.109669 | ||||||||
\(652\) | 7.67140i | 0.300435i | ||||||||
\(653\) | 12.3110i | 0.481768i | 0.970554 | + | 0.240884i | \(0.0774373\pi\) | ||||
−0.970554 | + | 0.240884i | \(0.922563\pi\) | |||||||
\(654\) | 8.79590 | 0.343947 | ||||||||
\(655\) | −11.1290 | + | 21.8896i | −0.434848 | + | 0.855296i | ||||
\(656\) | 24.2460 | 0.946647 | ||||||||
\(657\) | − | 0.151416i | − | 0.00590728i | ||||||
\(658\) | 3.76583i | 0.146807i | ||||||||
\(659\) | −28.5993 | −1.11407 | −0.557035 | − | 0.830489i | \(-0.688061\pi\) | ||||
−0.557035 | + | 0.830489i | \(0.688061\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.2512 | 1.44890 | 0.724452 | − | 0.689325i | \(-0.242093\pi\) | ||||
0.724452 | + | 0.689325i | \(0.242093\pi\) | |||||||
\(662\) | − | 40.6766i | − | 1.58094i | ||||||
\(663\) | 7.89216i | 0.306506i | ||||||||
\(664\) | 12.2968 | 0.477207 | ||||||||
\(665\) | 3.58368 | + | 1.82201i | 0.138969 | + | 0.0706544i | ||||
\(666\) | 4.07670 | 0.157969 | ||||||||
\(667\) | − | 85.1761i | − | 3.29803i | ||||||
\(668\) | − | 7.41618i | − | 0.286940i | ||||||
\(669\) | 5.36807 | 0.207542 | ||||||||
\(670\) | 7.70308 | − | 15.1511i | 0.297596 | − | 0.585337i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 1.03617i | 0.0399713i | ||||||||
\(673\) | − | 23.8497i | − | 0.919338i | −0.888090 | − | 0.459669i | \(-0.847968\pi\) | ||
0.888090 | − | 0.459669i | \(-0.152032\pi\) | |||||||
\(674\) | 18.2067 | 0.701296 | ||||||||
\(675\) | 4.03991 | − | 2.94604i | 0.155496 | − | 0.113393i | ||||
\(676\) | 1.19824 | 0.0460862 | ||||||||
\(677\) | − | 4.87310i | − | 0.187288i | −0.995606 | − | 0.0936442i | \(-0.970148\pi\) | ||
0.995606 | − | 0.0936442i | \(-0.0298516\pi\) | |||||||
\(678\) | − | 13.8075i | − | 0.530275i | ||||||
\(679\) | 1.74457 | 0.0669505 | ||||||||
\(680\) | 7.70973 | − | 15.1642i | 0.295654 | − | 0.581519i | ||||
\(681\) | 7.72444 | 0.296001 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 23.6494i | − | 0.904919i | −0.891785 | − | 0.452459i | \(-0.850547\pi\) | ||
0.891785 | − | 0.452459i | \(-0.149453\pi\) | |||||||
\(684\) | −1.43126 | −0.0547256 | ||||||||
\(685\) | 2.17682 | + | 1.10673i | 0.0831720 | + | 0.0422861i | ||||
\(686\) | −8.45576 | −0.322842 | ||||||||
\(687\) | 8.08159i | 0.308332i | ||||||||
\(688\) | − | 18.4031i | − | 0.701613i | ||||||
\(689\) | −4.97463 | −0.189518 | ||||||||
\(690\) | −21.6144 | − | 10.9891i | −0.822845 | − | 0.418349i | ||||
\(691\) | 13.9286 | 0.529871 | 0.264935 | − | 0.964266i | \(-0.414649\pi\) | ||||
0.264935 | + | 0.964266i | \(0.414649\pi\) | |||||||
\(692\) | 1.48848i | 0.0565835i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.4156 | −0.774966 | ||||||||
\(695\) | 8.53806 | − | 16.7934i | 0.323867 | − | 0.637010i | ||||
\(696\) | 30.2566 | 1.14687 | ||||||||
\(697\) | 19.7438i | 0.747849i | ||||||||
\(698\) | − | 5.05428i | − | 0.191307i | ||||||
\(699\) | 25.4908 | 0.964152 | ||||||||
\(700\) | 0.751171 | − | 0.547779i | 0.0283916 | − | 0.0207041i | ||||
\(701\) | 41.2795 | 1.55911 | 0.779553 | − | 0.626336i | \(-0.215446\pi\) | ||||
0.779553 | + | 0.626336i | \(0.215446\pi\) | |||||||
\(702\) | 3.99597i | 0.150818i | ||||||||
\(703\) | 11.9329i | 0.450058i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.21313 | + | 12.2205i | −0.234000 | + | 0.460251i | ||||
\(706\) | 11.9159 | 0.448462 | ||||||||
\(707\) | 3.67095i | 0.138060i | ||||||||
\(708\) | − | 0.145403i | − | 0.00546457i | ||||||
\(709\) | −22.2446 | −0.835414 | −0.417707 | − | 0.908582i | \(-0.637166\pi\) | ||||
−0.417707 | + | 0.908582i | \(0.637166\pi\) | |||||||
\(710\) | 21.1381 | + | 10.7470i | 0.793300 | + | 0.403328i | ||||
\(711\) | 7.48541 | 0.280725 | ||||||||
\(712\) | 51.6202i | 1.93455i | ||||||||
\(713\) | 49.4000i | 1.85004i | ||||||||
\(714\) | 1.54180 | 0.0577003 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 6.61212 | 0.247106 | ||||||||
\(717\) | 0.928865i | 0.0346891i | ||||||||
\(718\) | − | 27.6267i | − | 1.03102i | ||||||
\(719\) | −34.7352 | −1.29540 | −0.647702 | − | 0.761894i | \(-0.724270\pi\) | ||||
−0.647702 | + | 0.761894i | \(0.724270\pi\) | |||||||
\(720\) | 3.12382 | − | 6.14421i | 0.116418 | − | 0.228981i | ||||
\(721\) | 1.84017 | 0.0685315 | ||||||||
\(722\) | − | 6.55864i | − | 0.244087i | ||||||
\(723\) | − | 10.3759i | − | 0.385883i | ||||||
\(724\) | −2.68917 | −0.0999422 | ||||||||
\(725\) | −29.4101 | − | 40.3301i | −1.09226 | − | 1.49782i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.34209i | 0.272303i | 0.990688 | + | 0.136152i | \(0.0434734\pi\) | ||||
−0.990688 | + | 0.136152i | \(0.956527\pi\) | |||||||
\(728\) | 4.60543i | 0.170689i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −0.195018 | + | 0.383578i | −0.00721793 | + | 0.0141968i | ||||
\(731\) | 14.9859 | 0.554273 | ||||||||
\(732\) | − | 1.15747i | − | 0.0427814i | ||||||
\(733\) | − | 32.2227i | − | 1.19017i | −0.803662 | − | 0.595086i | \(-0.797118\pi\) | ||
0.803662 | − | 0.595086i | \(-0.202882\pi\) | |||||||
\(734\) | −39.8848 | −1.47218 | ||||||||
\(735\) | −13.4871 | − | 6.85710i | −0.497481 | − | 0.252928i | ||||
\(736\) | 18.2929 | 0.674287 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 9.99670i | 0.367984i | ||||||||
\(739\) | 41.9994 | 1.54497 | 0.772486 | − | 0.635031i | \(-0.219013\pi\) | ||||
0.772486 | + | 0.635031i | \(0.219013\pi\) | |||||||
\(740\) | 2.45983 | + | 1.25062i | 0.0904251 | + | 0.0459737i | ||||
\(741\) | −11.6966 | −0.429686 | ||||||||
\(742\) | 0.971834i | 0.0356772i | ||||||||
\(743\) | 6.94585i | 0.254819i | 0.991850 | + | 0.127409i | \(0.0406662\pi\) | ||||
−0.991850 | + | 0.127409i | \(0.959334\pi\) | |||||||
\(744\) | −17.5480 | −0.643343 | ||||||||
\(745\) | −17.4605 | + | 34.3429i | −0.639704 | + | 1.25823i | ||||
\(746\) | −29.5715 | −1.08269 | ||||||||
\(747\) | 4.05723i | 0.148446i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.230755 | −0.00843159 | ||||||||
\(750\) | −14.0286 | + | 2.25988i | −0.512252 | + | 0.0825193i | ||||
\(751\) | 1.61163 | 0.0588092 | 0.0294046 | − | 0.999568i | \(-0.490639\pi\) | ||||
0.0294046 | + | 0.999568i | \(0.490639\pi\) | |||||||
\(752\) | 18.8988i | 0.689169i | ||||||||
\(753\) | − | 23.5461i | − | 0.858066i | ||||||
\(754\) | 39.8915 | 1.45276 | ||||||||
\(755\) | −13.2592 | + | 26.0793i | −0.482550 | + | 0.949122i | ||||
\(756\) | −0.185938 | −0.00676248 | ||||||||
\(757\) | 9.23387i | 0.335611i | 0.985820 | + | 0.167805i | \(0.0536680\pi\) | ||||
−0.985820 | + | 0.167805i | \(0.946332\pi\) | |||||||
\(758\) | − | 16.8390i | − | 0.611620i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 22.4741 | + | 11.4262i | 0.815222 | + | 0.414473i | ||||
\(761\) | 27.0382 | 0.980133 | 0.490067 | − | 0.871685i | \(-0.336972\pi\) | ||||
0.490067 | + | 0.871685i | \(0.336972\pi\) | |||||||
\(762\) | 7.61566i | 0.275886i | ||||||||
\(763\) | 3.34477i | 0.121089i | ||||||||
\(764\) | −3.84668 | −0.139168 | ||||||||
\(765\) | 5.00330 | + | 2.54377i | 0.180895 | + | 0.0919700i | ||||
\(766\) | 26.2423 | 0.948173 | ||||||||
\(767\) | − | 1.18827i | − | 0.0429058i | ||||||
\(768\) | 8.86997i | 0.320068i | ||||||||
\(769\) | −12.6433 | −0.455927 | −0.227964 | − | 0.973670i | \(-0.573207\pi\) | ||||
−0.227964 | + | 0.973670i | \(0.573207\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.0996 | 0.579813 | ||||||||
\(772\) | 9.15539i | 0.329510i | ||||||||
\(773\) | 11.6466i | 0.418899i | 0.977819 | + | 0.209449i | \(0.0671671\pi\) | ||||
−0.977819 | + | 0.209449i | \(0.932833\pi\) | |||||||
\(774\) | 7.58767 | 0.272733 | ||||||||
\(775\) | 17.0571 | + | 23.3904i | 0.612710 | + | 0.840209i | ||||
\(776\) | 10.9406 | 0.392745 | ||||||||
\(777\) | 1.55023i | 0.0556141i | ||||||||
\(778\) | − | 29.0389i | − | 1.04110i | ||||||
\(779\) | −29.2614 | −1.04840 | ||||||||
\(780\) | −1.22586 | + | 2.41112i | −0.0438927 | + | 0.0863319i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 27.2194i | − | 0.973363i | ||||||
\(783\) | 9.98293i | 0.356761i | ||||||||
\(784\) | −20.8576 | −0.744916 | ||||||||
\(785\) | 46.8583 | + | 23.8236i | 1.67245 | + | 0.850301i | ||||
\(786\) | −13.9572 | −0.497838 | ||||||||
\(787\) | 8.87396i | 0.316323i | 0.987413 | + | 0.158161i | \(0.0505566\pi\) | ||||
−0.987413 | + | 0.158161i | \(0.949443\pi\) | |||||||
\(788\) | − | 9.47905i | − | 0.337677i | ||||||
\(789\) | 2.19036 | 0.0779788 | ||||||||
\(790\) | −18.9626 | − | 9.64093i | −0.674660 | − | 0.343009i | ||||
\(791\) | 5.25052 | 0.186687 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 9.45915i | − | 0.335904i | ||||||
\(794\) | −9.80204 | −0.347862 | ||||||||
\(795\) | −1.60340 | + | 3.15371i | −0.0568668 | + | 0.111851i | ||||
\(796\) | 5.90792 | 0.209401 | ||||||||
\(797\) | − | 6.92439i | − | 0.245274i | −0.992452 | − | 0.122637i | \(-0.960865\pi\) | ||
0.992452 | − | 0.122637i | \(-0.0391352\pi\) | |||||||
\(798\) | 2.28503i | 0.0808891i | ||||||||
\(799\) | −15.3895 | −0.544442 | ||||||||
\(800\) | 8.66154 | − | 6.31629i | 0.306232 | − | 0.223315i | ||||
\(801\) | −17.0317 | −0.601785 | ||||||||
\(802\) | − | 10.4100i | − | 0.367591i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −2.30101 | −0.0811505 | ||||||||
\(805\) | 4.17878 | − | 8.21919i | 0.147283 | − | 0.289688i | ||||
\(806\) | −23.1360 | −0.814932 | ||||||||
\(807\) | − | 10.4351i | − | 0.367332i | ||||||
\(808\) | 23.0214i | 0.809889i | ||||||||
\(809\) | 30.9272 | 1.08734 | 0.543671 | − | 0.839299i | \(-0.317034\pi\) | ||||
0.543671 | + | 0.839299i | \(0.317034\pi\) | |||||||
\(810\) | 2.53328 | + | 1.28796i | 0.0890103 | + | 0.0452544i | ||||
\(811\) | −2.65803 | −0.0933359 | −0.0466680 | − | 0.998910i | \(-0.514860\pi\) | ||||
−0.0466680 | + | 0.998910i | \(0.514860\pi\) | |||||||
\(812\) | 1.85620i | 0.0651399i | ||||||||
\(813\) | 1.72943i | 0.0606537i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 39.7445 | + | 20.2068i | 1.39219 | + | 0.707813i | ||||
\(816\) | 7.73751 | 0.270867 | ||||||||
\(817\) | 22.2099i | 0.777026i | ||||||||
\(818\) | 4.35048i | 0.152111i | ||||||||
\(819\) | −1.51953 | −0.0530966 | ||||||||
\(820\) | −3.06672 | + | 6.03189i | −0.107094 | + | 0.210643i | ||||
\(821\) | −8.57136 | −0.299142 | −0.149571 | − | 0.988751i | \(-0.547789\pi\) | ||||
−0.149571 | + | 0.988751i | \(0.547789\pi\) | |||||||
\(822\) | 1.38798i | 0.0484115i | ||||||||
\(823\) | 44.0892i | 1.53685i | 0.639939 | + | 0.768426i | \(0.278960\pi\) | ||||
−0.639939 | + | 0.768426i | \(0.721040\pi\) | |||||||
\(824\) | 11.5401 | 0.402020 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.232137 | −0.00807710 | ||||||||
\(827\) | 33.9542i | 1.18070i | 0.807147 | + | 0.590351i | \(0.201011\pi\) | ||||
−0.807147 | + | 0.590351i | \(0.798989\pi\) | |||||||
\(828\) | 3.28260i | 0.114078i | ||||||||
\(829\) | −18.2588 | −0.634155 | −0.317078 | − | 0.948400i | \(-0.602702\pi\) | ||||
−0.317078 | + | 0.948400i | \(0.602702\pi\) | |||||||
\(830\) | 5.22556 | − | 10.2781i | 0.181382 | − | 0.356757i | ||||
\(831\) | 11.6390 | 0.403753 | ||||||||
\(832\) | 27.9510i | 0.969026i | ||||||||
\(833\) | − | 16.9846i | − | 0.588482i | ||||||
\(834\) | 10.7078 | 0.370781 | ||||||||
\(835\) | −38.4222 | − | 19.5345i | −1.32965 | − | 0.676020i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 5.78984i | − | 0.200126i | ||||||
\(838\) | 23.3334i | 0.806039i | ||||||||
\(839\) | 26.7364 | 0.923043 | 0.461522 | − | 0.887129i | \(-0.347304\pi\) | ||||
0.461522 | + | 0.887129i | \(0.347304\pi\) | |||||||
\(840\) | 2.91965 | + | 1.48440i | 0.100738 | + | 0.0512168i | ||||
\(841\) | 70.6588 | 2.43651 | ||||||||
\(842\) | 45.2165i | 1.55826i | ||||||||
\(843\) | − | 12.0160i | − | 0.413854i | ||||||
\(844\) | −9.94947 | −0.342475 | ||||||||
\(845\) | 3.15622 | − | 6.20792i | 0.108577 | − | 0.213559i | ||||
\(846\) | −7.79204 | −0.267896 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.87716i | 0.167482i | ||||||||
\(849\) | 27.5894 | 0.946867 | ||||||||
\(850\) | −9.39846 | − | 12.8881i | −0.322365 | − | 0.442059i | ||||
\(851\) | 27.3682 | 0.938170 | ||||||||
\(852\) | − | 3.21028i | − | 0.109982i | ||||||
\(853\) | − | 43.7018i | − | 1.49632i | −0.663517 | − | 0.748161i | \(-0.730937\pi\) | ||
0.663517 | − | 0.748161i | \(-0.269063\pi\) | |||||||
\(854\) | −1.84792 | −0.0632345 | ||||||||
\(855\) | −3.77000 | + | 7.41516i | −0.128931 | + | 0.253593i | ||||
\(856\) | −1.44712 | −0.0494614 | ||||||||
\(857\) | − | 26.0587i | − | 0.890148i | −0.895494 | − | 0.445074i | \(-0.853177\pi\) | ||
0.895494 | − | 0.445074i | \(-0.146823\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.2849 | 1.51098 | 0.755491 | − | 0.655159i | \(-0.227398\pi\) | ||||
0.755491 | + | 0.655159i | \(0.227398\pi\) | |||||||
\(860\) | 4.57831 | + | 2.32769i | 0.156119 | + | 0.0793737i | ||||
\(861\) | −3.80140 | −0.129551 | ||||||||
\(862\) | − | 13.7189i | − | 0.467268i | ||||||
\(863\) | − | 22.2415i | − | 0.757110i | −0.925579 | − | 0.378555i | \(-0.876421\pi\) | ||
0.925579 | − | 0.378555i | \(-0.123579\pi\) | |||||||
\(864\) | −2.14399 | −0.0729402 | ||||||||
\(865\) | 7.71161 | + | 3.92072i | 0.262202 | + | 0.133308i | ||||
\(866\) | 14.1307 | 0.480181 | ||||||||
\(867\) | − | 10.6993i | − | 0.363366i | ||||||
\(868\) | − | 1.07655i | − | 0.0365405i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 12.8576 | − | 25.2895i | 0.435915 | − | 0.857395i | ||||
\(871\) | −18.8045 | −0.637165 | ||||||||
\(872\) | 20.9759i | 0.710332i | ||||||||
\(873\) | 3.60977i | 0.122172i | ||||||||
\(874\) | 40.3406 | 1.36454 | ||||||||
\(875\) | −0.859355 | − | 5.33458i | −0.0290515 | − | 0.180342i | ||||
\(876\) | 0.0582544 | 0.00196823 | ||||||||
\(877\) | − | 50.2144i | − | 1.69562i | −0.530301 | − | 0.847809i | \(-0.677921\pi\) | ||
0.530301 | − | 0.847809i | \(-0.322079\pi\) | |||||||
\(878\) | 15.9757i | 0.539154i | ||||||||
\(879\) | −3.42861 | −0.115644 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −31.5451 | −1.06278 | −0.531391 | − | 0.847126i | \(-0.678331\pi\) | ||||
−0.531391 | + | 0.847126i | \(0.678331\pi\) | |||||||
\(882\) | − | 8.59967i | − | 0.289566i | ||||||
\(883\) | − | 17.0452i | − | 0.573616i | −0.957988 | − | 0.286808i | \(-0.907406\pi\) | ||
0.957988 | − | 0.286808i | \(-0.0925942\pi\) | |||||||
\(884\) | −3.03637 | −0.102124 | ||||||||
\(885\) | −0.753311 | − | 0.382997i | −0.0253223 | − | 0.0128743i | ||||
\(886\) | −26.1281 | −0.877791 | ||||||||
\(887\) | 14.6249i | 0.491058i | 0.969389 | + | 0.245529i | \(0.0789616\pi\) | ||||
−0.969389 | + | 0.245529i | \(0.921038\pi\) | |||||||
\(888\) | 9.72183i | 0.326243i | ||||||||
\(889\) | −2.89597 | −0.0971277 | ||||||||
\(890\) | 43.1460 | + | 21.9362i | 1.44626 | + | 0.735302i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.06527i | 0.0691503i | ||||||||
\(893\) | − | 22.8081i | − | 0.763244i | ||||||
\(894\) | −21.8977 | −0.732369 | ||||||||
\(895\) | 17.4166 | − | 34.2565i | 0.582172 | − | 1.14507i | ||||
\(896\) | 3.38810 | 0.113188 | ||||||||
\(897\) | 26.8262i | 0.895702i | ||||||||
\(898\) | − | 18.2874i | − | 0.610258i | ||||||
\(899\) | −57.7996 | −1.92772 | ||||||||
\(900\) | 1.13344 | + | 1.55428i | 0.0377812 | + | 0.0518094i | ||||
\(901\) | −3.97152 | −0.132311 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.88533i | 0.0960177i | ||||||||
\(904\) | 32.9273 | 1.09514 | ||||||||
\(905\) | −7.08339 | + | 13.9322i | −0.235460 | + | 0.463123i | ||||
\(906\) | −16.6287 | −0.552451 | ||||||||
\(907\) | 8.12060i | 0.269640i | 0.990870 | + | 0.134820i | \(0.0430457\pi\) | ||||
−0.990870 | + | 0.134820i | \(0.956954\pi\) | |||||||
\(908\) | 2.97184i | 0.0986240i | ||||||||
\(909\) | −7.59573 | −0.251934 | ||||||||
\(910\) | 3.84938 | + | 1.95709i | 0.127606 | + | 0.0648771i | ||||
\(911\) | 7.27282 | 0.240959 | 0.120480 | − | 0.992716i | \(-0.461557\pi\) | ||||
0.120480 | + | 0.992716i | \(0.461557\pi\) | |||||||
\(912\) | 11.4674i | 0.379724i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 14.3548 | 0.474814 | ||||||||
\(915\) | −5.99670 | − | 3.04883i | −0.198245 | − | 0.100791i | ||||
\(916\) | −3.10925 | −0.102732 | ||||||||
\(917\) | − | 5.30744i | − | 0.175267i | ||||||
\(918\) | 3.19020i | 0.105292i | ||||||||
\(919\) | 49.2766 | 1.62549 | 0.812743 | − | 0.582623i | \(-0.197973\pi\) | ||||
0.812743 | + | 0.582623i | \(0.197973\pi\) | |||||||
\(920\) | 26.2061 | − | 51.5445i | 0.863990 | − | 1.69937i | ||||
\(921\) | 15.3337 | 0.505263 | ||||||||
\(922\) | 45.5374i | 1.49969i | ||||||||
\(923\) | − | 26.2352i | − | 0.863541i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.9586 | − | 9.44985i | 0.426076 | − | 0.310709i | ||||
\(926\) | 38.9139 | 1.27879 | ||||||||
\(927\) | 3.80758i | 0.125057i | ||||||||
\(928\) | 21.4033i | 0.702599i | ||||||||
\(929\) | −17.4708 | −0.573200 | −0.286600 | − | 0.958050i | \(-0.592525\pi\) | ||||
−0.286600 | + | 0.958050i | \(0.592525\pi\) | |||||||
\(930\) | −7.45710 | + | 14.6673i | −0.244528 | + | 0.480959i | ||||
\(931\) | 25.1721 | 0.824983 | ||||||||
\(932\) | 9.80714i | 0.321244i | ||||||||
\(933\) | 4.34207i | 0.142153i | ||||||||
\(934\) | −50.9204 | −1.66617 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −9.52931 | −0.311475 | ||||||||
\(937\) | − | 30.2884i | − | 0.989478i | −0.869042 | − | 0.494739i | \(-0.835264\pi\) | ||
0.869042 | − | 0.494739i | \(-0.164736\pi\) | |||||||
\(938\) | 3.67360i | 0.119947i | ||||||||
\(939\) | 10.4437 | 0.340816 | ||||||||
\(940\) | −4.70162 | − | 2.39039i | −0.153350 | − | 0.0779659i | ||||
\(941\) | 44.5717 | 1.45300 | 0.726498 | − | 0.687168i | \(-0.241147\pi\) | ||||
0.726498 | + | 0.687168i | \(0.241147\pi\) | |||||||
\(942\) | 29.8778i | 0.973472i | ||||||||
\(943\) | 67.1111i | 2.18544i | ||||||||
\(944\) | −1.16498 | −0.0379170 | ||||||||
\(945\) | −0.489767 | + | 0.963317i | −0.0159321 | + | 0.0313367i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.29059i | 0.204417i | 0.994763 | + | 0.102208i | \(0.0325908\pi\) | ||||
−0.994763 | + | 0.102208i | \(0.967409\pi\) | |||||||
\(948\) | 2.87988i | 0.0935341i | ||||||||
\(949\) | 0.476069 | 0.0154539 | ||||||||
\(950\) | 19.1009 | − | 13.9290i | 0.619715 | − | 0.451918i | ||||
\(951\) | −16.6411 | −0.539625 | ||||||||
\(952\) | 3.67677i | 0.119165i | ||||||||
\(953\) | − | 11.3115i | − | 0.366417i | −0.983074 | − | 0.183208i | \(-0.941352\pi\) | ||
0.983074 | − | 0.183208i | \(-0.0586483\pi\) | |||||||
\(954\) | −2.01087 | −0.0651042 | ||||||||
\(955\) | −10.1323 | + | 19.9291i | −0.327874 | + | 0.644892i | ||||
\(956\) | −0.357364 | −0.0115580 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 25.0617i | − | 0.809705i | ||||||
\(959\) | −0.527802 | −0.0170436 | ||||||||
\(960\) | 17.7197 | + | 9.00903i | 0.571902 | + | 0.290765i | ||||
\(961\) | 2.52230 | 0.0813645 | ||||||||
\(962\) | 12.8176i | 0.413258i | ||||||||
\(963\) | − | 0.477465i | − | 0.0153861i | ||||||
\(964\) | 3.99193 | 0.128571 | ||||||||
\(965\) | 47.4328 | + | 24.1157i | 1.52692 | + | 0.776311i | ||||
\(966\) | 5.24072 | 0.168617 | ||||||||
\(967\) | − | 22.1756i | − | 0.713120i | −0.934272 | − | 0.356560i | \(-0.883950\pi\) | ||
0.934272 | − | 0.356560i | \(-0.116050\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.33805 | −0.299981 | ||||||||
\(970\) | 4.64926 | − | 9.14456i | 0.149279 | − | 0.293614i | ||||
\(971\) | 5.37795 | 0.172587 | 0.0862933 | − | 0.996270i | \(-0.472498\pi\) | ||||
0.0862933 | + | 0.996270i | \(0.472498\pi\) | |||||||
\(972\) | − | 0.384732i | − | 0.0123403i | ||||||
\(973\) | 4.07180i | 0.130536i | ||||||||
\(974\) | −23.0505 | −0.738585 | ||||||||
\(975\) | 9.26272 | + | 12.7020i | 0.296644 | + | 0.406789i | ||||
\(976\) | −9.27380 | −0.296847 | ||||||||
\(977\) | − | 3.34749i | − | 0.107096i | −0.998565 | − | 0.0535479i | \(-0.982947\pi\) | ||
0.998565 | − | 0.0535479i | \(-0.0170530\pi\) | |||||||
\(978\) | 25.3419i | 0.810343i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 2.63815 | − | 5.18894i | 0.0842725 | − | 0.165754i | ||||
\(981\) | −6.92083 | −0.220965 | ||||||||
\(982\) | − | 13.7477i | − | 0.438707i | ||||||
\(983\) | − | 21.5101i | − | 0.686067i | −0.939323 | − | 0.343034i | \(-0.888546\pi\) | ||
0.939323 | − | 0.343034i | \(-0.111454\pi\) | |||||||
\(984\) | −23.8395 | −0.759974 | ||||||||
\(985\) | −49.1096 | − | 24.9682i | −1.56476 | − | 0.795553i | ||||
\(986\) | 31.8476 | 1.01423 | ||||||||
\(987\) | − | 2.96304i | − | 0.0943147i | ||||||
\(988\) | − | 4.50006i | − | 0.143166i | ||||||
\(989\) | 50.9385 | 1.61975 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.42838 | −0.108906 | −0.0544530 | − | 0.998516i | \(-0.517341\pi\) | ||||
−0.0544530 | + | 0.998516i | \(0.517341\pi\) | |||||||
\(992\) | − | 12.4134i | − | 0.394126i | ||||||
\(993\) | 32.0054i | 1.01566i | ||||||||
\(994\) | −5.12525 | −0.162563 | ||||||||
\(995\) | 15.5617 | − | 30.6081i | 0.493340 | − | 0.970343i | ||||
\(996\) | −1.56095 | −0.0494605 | ||||||||
\(997\) | − | 51.3511i | − | 1.62631i | −0.582049 | − | 0.813154i | \(-0.697749\pi\) | ||
0.582049 | − | 0.813154i | \(-0.302251\pi\) | |||||||
\(998\) | 7.20887i | 0.228193i | ||||||||
\(999\) | −3.20765 | −0.101485 |
(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 | 1815.2.c.j.364.18 | 24 | ||
5.2 | odd | 4 | 9075.2.a.dz.1.3 | 12 | |||
5.3 | odd | 4 | 9075.2.a.dy.1.10 | 12 | |||
5.4 | even | 2 | inner | 1815.2.c.j.364.7 | 24 | ||
11.3 | even | 5 | 165.2.s.a.64.9 | yes | 48 | ||
11.4 | even | 5 | 165.2.s.a.49.4 | ✓ | 48 | ||
11.10 | odd | 2 | 1815.2.c.k.364.7 | 24 | |||
33.14 | odd | 10 | 495.2.ba.c.64.4 | 48 | |||
33.26 | odd | 10 | 495.2.ba.c.379.9 | 48 | |||
55.3 | odd | 20 | 825.2.n.p.526.5 | 24 | |||
55.4 | even | 10 | 165.2.s.a.49.9 | yes | 48 | ||
55.14 | even | 10 | 165.2.s.a.64.4 | yes | 48 | ||
55.32 | even | 4 | 9075.2.a.dx.1.10 | 12 | |||
55.37 | odd | 20 | 825.2.n.o.676.2 | 24 | |||
55.43 | even | 4 | 9075.2.a.ea.1.3 | 12 | |||
55.47 | odd | 20 | 825.2.n.o.526.2 | 24 | |||
55.48 | odd | 20 | 825.2.n.p.676.5 | 24 | |||
55.54 | odd | 2 | 1815.2.c.k.364.18 | 24 | |||
165.14 | odd | 10 | 495.2.ba.c.64.9 | 48 | |||
165.59 | odd | 10 | 495.2.ba.c.379.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.4 | ✓ | 48 | 11.4 | even | 5 | ||
165.2.s.a.49.9 | yes | 48 | 55.4 | even | 10 | ||
165.2.s.a.64.4 | yes | 48 | 55.14 | even | 10 | ||
165.2.s.a.64.9 | yes | 48 | 11.3 | even | 5 | ||
495.2.ba.c.64.4 | 48 | 33.14 | odd | 10 | |||
495.2.ba.c.64.9 | 48 | 165.14 | odd | 10 | |||
495.2.ba.c.379.4 | 48 | 165.59 | odd | 10 | |||
495.2.ba.c.379.9 | 48 | 33.26 | odd | 10 | |||
825.2.n.o.526.2 | 24 | 55.47 | odd | 20 | |||
825.2.n.o.676.2 | 24 | 55.37 | odd | 20 | |||
825.2.n.p.526.5 | 24 | 55.3 | odd | 20 | |||
825.2.n.p.676.5 | 24 | 55.48 | odd | 20 | |||
1815.2.c.j.364.7 | 24 | 5.4 | even | 2 | inner | ||
1815.2.c.j.364.18 | 24 | 1.1 | even | 1 | trivial | ||
1815.2.c.k.364.7 | 24 | 11.10 | odd | 2 | |||
1815.2.c.k.364.18 | 24 | 55.54 | odd | 2 | |||
9075.2.a.dx.1.10 | 12 | 55.32 | even | 4 | |||
9075.2.a.dy.1.10 | 12 | 5.3 | odd | 4 | |||
9075.2.a.dz.1.3 | 12 | 5.2 | odd | 4 | |||
9075.2.a.ea.1.3 | 12 | 55.43 | even | 4 |