Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [960,2,Mod(17,960)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(960, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("960.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 960 = 2^{6} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 960.bf (of order \(4\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.66563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 240) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 113.6 | ||
Character | \(\chi\) | \(=\) | 960.113 |
Dual form | 960.2.bf.a.17.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).
\(n\) | \(511\) | \(577\) | \(641\) | \(901\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 | ||||||||
\(3\) | −1.59602 | + | 0.672846i | −0.921462 | + | 0.388468i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.06348 | − | 1.96698i | 0.475605 | − | 0.879659i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.58885 | + | 3.58885i | 1.35646 | + | 1.35646i | 0.878244 | + | 0.478212i | \(0.158715\pi\) |
0.478212 | + | 0.878244i | \(0.341285\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.09456 | − | 2.14775i | 0.698186 | − | 0.715917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.75370 | − | 1.75370i | 0.528761 | − | 0.528761i | −0.391442 | − | 0.920203i | \(-0.628024\pi\) |
0.920203 | + | 0.391442i | \(0.128024\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.86312 | −0.516735 | −0.258368 | − | 0.966047i | \(-0.583185\pi\) | ||||
−0.258368 | + | 0.966047i | \(0.583185\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.373870 | + | 3.85490i | −0.0965329 | + | 0.995330i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.63049 | + | 2.63049i | 0.637987 | + | 0.637987i | 0.950059 | − | 0.312071i | \(-0.101023\pi\) |
−0.312071 | + | 0.950059i | \(0.601023\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.850543 | − | 0.850543i | −0.195128 | − | 0.195128i | 0.602780 | − | 0.797908i | \(-0.294060\pi\) |
−0.797908 | + | 0.602780i | \(0.794060\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −8.14261 | − | 3.31313i | −1.77686 | − | 0.722984i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.34712 | − | 2.34712i | −0.489409 | − | 0.489409i | 0.418710 | − | 0.908120i | \(-0.362482\pi\) |
−0.908120 | + | 0.418710i | \(0.862482\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.73800 | − | 4.18370i | −0.547600 | − | 0.836740i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.89785 | + | 4.83716i | −0.365242 | + | 0.930913i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.25712 | − | 2.25712i | 0.419137 | − | 0.419137i | −0.465769 | − | 0.884906i | \(-0.654222\pi\) |
0.884906 | + | 0.465769i | \(0.154222\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.07693 | −0.552632 | −0.276316 | − | 0.961067i | \(-0.589114\pi\) | ||||
−0.276316 | + | 0.961067i | \(0.589114\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.61897 | + | 3.97892i | −0.281827 | + | 0.692640i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 10.8759 | − | 3.24250i | 1.83836 | − | 0.548082i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.19181 | 1.51112 | 0.755562 | − | 0.655077i | \(-0.227364\pi\) | ||||
0.755562 | + | 0.655077i | \(0.227364\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.97357 | − | 1.25359i | 0.476152 | − | 0.200735i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.89015 | 1.23223 | 0.616117 | − | 0.787654i | \(-0.288705\pi\) | ||||
0.616117 | + | 0.787654i | \(0.288705\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.44191i | 0.219889i | 0.993938 | + | 0.109944i | \(0.0350673\pi\) | ||||
−0.993938 | + | 0.109944i | \(0.964933\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.99705 | − | 6.40405i | −0.297702 | − | 0.954659i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.16802 | + | 3.16802i | 0.462104 | + | 0.462104i | 0.899344 | − | 0.437241i | \(-0.144044\pi\) |
−0.437241 | + | 0.899344i | \(0.644044\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 18.7596i | 2.67995i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.96823 | − | 2.42840i | −0.835719 | − | 0.340044i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.55812 | 1.03819 | 0.519094 | − | 0.854717i | \(-0.326269\pi\) | ||||
0.519094 | + | 0.854717i | \(0.326269\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.58446 | − | 5.31453i | −0.213648 | − | 0.716611i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.92977 | + | 0.785199i | 0.255604 | + | 0.104002i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.61161 | − | 3.61161i | −0.470191 | − | 0.470191i | 0.431785 | − | 0.901976i | \(-0.357884\pi\) |
−0.901976 | + | 0.431785i | \(0.857884\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.53592 | + | 2.53592i | −0.324691 | + | 0.324691i | −0.850563 | − | 0.525872i | \(-0.823739\pi\) |
0.525872 | + | 0.850563i | \(0.323739\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 15.2250 | − | 0.190899i | 1.91817 | − | 0.0240510i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.98140 | + | 3.66471i | −0.245762 | + | 0.454551i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.34890i | 0.164794i | 0.996600 | + | 0.0823972i | \(0.0262576\pi\) | ||||
−0.996600 | + | 0.0823972i | \(0.973742\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.32531 | + | 2.16680i | 0.641092 | + | 0.260853i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.4066 | 1.35371 | 0.676856 | − | 0.736116i | \(-0.263342\pi\) | ||||
0.676856 | + | 0.736116i | \(0.263342\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.59201 | + | 4.59201i | −0.537454 | + | 0.537454i | −0.922780 | − | 0.385327i | \(-0.874089\pi\) |
0.385327 | + | 0.922780i | \(0.374089\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 7.18489 | + | 4.83502i | 0.829639 | + | 0.558300i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 12.5875 | 1.43448 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.73652i | 0.195374i | 0.995217 | + | 0.0976870i | \(0.0311444\pi\) | ||||
−0.995217 | + | 0.0976870i | \(0.968856\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.225658 | − | 8.99717i | −0.0250731 | − | 0.999686i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.755155i | 0.0828890i | 0.999141 | + | 0.0414445i | \(0.0131960\pi\) | ||||
−0.999141 | + | 0.0414445i | \(0.986804\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.97160 | − | 2.37663i | 0.864641 | − | 0.257781i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.08372 | + | 5.12110i | −0.223398 | + | 0.549040i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 8.15881i | − | 0.864832i | −0.901674 | − | 0.432416i | \(-0.857661\pi\) | ||
0.901674 | − | 0.432416i | \(-0.142339\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.68644 | − | 6.68644i | −0.700929 | − | 0.700929i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.91083 | − | 2.07030i | 0.509230 | − | 0.214680i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.57754 | + | 0.768459i | −0.264450 | + | 0.0788422i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.60445 | − | 1.60445i | 0.162908 | − | 0.162908i | −0.620946 | − | 0.783853i | \(-0.713251\pi\) |
0.783853 | + | 0.620946i | \(0.213251\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0932835 | − | 7.43975i | −0.00937535 | − | 0.747723i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.42953 | + | 3.42953i | −0.341251 | + | 0.341251i | −0.856837 | − | 0.515587i | \(-0.827574\pi\) |
0.515587 | + | 0.856837i | \(0.327574\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.9263 | − | 12.9263i | 1.27367 | − | 1.27367i | 0.329524 | − | 0.944147i | \(-0.393112\pi\) |
0.944147 | − | 0.329524i | \(-0.106888\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −15.1764 | + | 12.4929i | −1.48106 | + | 1.21918i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 5.97350i | − | 0.577480i | −0.957407 | − | 0.288740i | \(-0.906764\pi\) | ||
0.957407 | − | 0.288740i | \(-0.0932364\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.559509 | + | 0.559509i | 0.0535912 | + | 0.0535912i | 0.733395 | − | 0.679803i | \(-0.237935\pi\) |
−0.679803 | + | 0.733395i | \(0.737935\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.6703 | + | 6.18467i | −1.39244 | + | 0.587023i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.78740 | + | 4.78740i | −0.450361 | + | 0.450361i | −0.895474 | − | 0.445113i | \(-0.853163\pi\) |
0.445113 | + | 0.895474i | \(0.353163\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.11287 | + | 2.12061i | −0.663279 | + | 0.197748i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.90240 | + | 4.00151i | −0.360777 | + | 0.369939i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 18.8808i | 1.73080i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.84905i | 0.440823i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −12.5928 | + | 5.30886i | −1.13546 | + | 0.478683i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.1411 | + | 0.936283i | −0.996487 | + | 0.0837437i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.13372 | − | 4.13372i | 0.366808 | − | 0.366808i | −0.499503 | − | 0.866312i | \(-0.666484\pi\) |
0.866312 | + | 0.499503i | \(0.166484\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.970181 | − | 2.30131i | −0.0854197 | − | 0.202619i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.97669 | + | 5.97669i | 0.522186 | + | 0.522186i | 0.918231 | − | 0.396045i | \(-0.129618\pi\) |
−0.396045 | + | 0.918231i | \(0.629618\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 6.10494i | − | 0.529365i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.49626 | + | 8.87728i | 0.645175 | + | 0.764035i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.98602 | + | 8.98602i | −0.767727 | + | 0.767727i | −0.977706 | − | 0.209979i | \(-0.932661\pi\) |
0.209979 | + | 0.977706i | \(0.432661\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.1554 | + | 12.1554i | −1.03100 | + | 1.03100i | −0.0315006 | + | 0.999504i | \(0.510029\pi\) |
−0.999504 | + | 0.0315006i | \(0.989971\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.18782 | − | 2.92464i | −0.605324 | − | 0.246299i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.26735 | + | 3.26735i | −0.273230 | + | 0.273230i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.03929 | − | 6.84012i | −0.169354 | − | 0.568041i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.6223 | − | 29.9408i | −1.04107 | − | 2.46947i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.45496 | − | 8.45496i | −0.692657 | − | 0.692657i | 0.270159 | − | 0.962816i | \(-0.412924\pi\) |
−0.962816 | + | 0.270159i | \(0.912924\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 2.95291i | − | 0.240305i | −0.992755 | − | 0.120152i | \(-0.961662\pi\) | ||
0.992755 | − | 0.120152i | \(-0.0383383\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 11.1593 | − | 0.139922i | 0.902179 | − | 0.0113120i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.27226 | + | 6.05224i | −0.262835 | + | 0.486128i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 1.25890i | − | 0.100471i | −0.998737 | − | 0.0502355i | \(-0.984003\pi\) | ||
0.998737 | − | 0.0502355i | \(-0.0159972\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.0629 | + | 5.08545i | −0.956651 | + | 0.403302i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 16.8469i | − | 1.32773i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.52220 | −0.354206 | −0.177103 | − | 0.984192i | \(-0.556673\pi\) | ||||
−0.177103 | + | 0.984192i | \(0.556673\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.10468 | + | 7.41600i | 0.475249 | + | 0.577335i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.2815 | − | 11.2815i | 0.872992 | − | 0.872992i | −0.119806 | − | 0.992797i | \(-0.538227\pi\) |
0.992797 | + | 0.119806i | \(0.0382272\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.52880 | −0.732985 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.60826 | + | 0.0452423i | −0.275931 | + | 0.00345977i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 18.7329i | 1.42424i | 0.702060 | + | 0.712118i | \(0.252264\pi\) | ||||
−0.702060 | + | 0.712118i | \(0.747736\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.18840 | − | 24.8409i | 0.392206 | − | 1.87780i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.19425 | + | 3.33414i | 0.615917 | + | 0.250609i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.555823 | + | 0.555823i | −0.0415441 | + | 0.0415441i | −0.727574 | − | 0.686030i | \(-0.759352\pi\) |
0.686030 | + | 0.727574i | \(0.259352\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.29080 | − | 8.29080i | −0.616251 | − | 0.616251i | 0.328317 | − | 0.944568i | \(-0.393519\pi\) |
−0.944568 | + | 0.328317i | \(0.893519\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.34109 | − | 5.75366i | 0.173059 | − | 0.425323i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.77535 | − | 18.0801i | 0.718698 | − | 1.32927i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.22619 | 0.674686 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −24.1709 | + | 10.5487i | −1.75818 | + | 0.767309i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 26.3360i | − | 1.90561i | −0.303584 | − | 0.952805i | \(-0.598183\pi\) | ||
0.303584 | − | 0.952805i | \(-0.401817\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.13109 | + | 7.13109i | 0.513307 | + | 0.513307i | 0.915538 | − | 0.402231i | \(-0.131765\pi\) |
−0.402231 | + | 0.915538i | \(0.631765\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.696564 | − | 7.18212i | 0.0498820 | − | 0.514322i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 13.1631i | − | 0.937832i | −0.883243 | − | 0.468916i | \(-0.844645\pi\) | ||
0.883243 | − | 0.468916i | \(-0.155355\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −17.4015 | −1.23356 | −0.616779 | − | 0.787136i | \(-0.711563\pi\) | ||||
−0.616779 | + | 0.787136i | \(0.711563\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.907602 | − | 2.15287i | −0.0640173 | − | 0.151852i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 16.2009 | 1.13708 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.39106 | − | 15.5198i | 0.586057 | − | 1.08395i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.95722 | + | 0.124849i | −0.692075 | + | 0.00867761i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.98320 | −0.206352 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.7376 | + | 11.7376i | −0.808049 | + | 0.808049i | −0.984338 | − | 0.176289i | \(-0.943591\pi\) |
0.176289 | + | 0.984338i | \(0.443591\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −18.2051 | + | 7.67486i | −1.24739 | + | 0.525873i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.83620 | + | 1.53345i | 0.193427 | + | 0.104580i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.0426 | − | 11.0426i | −0.749622 | − | 0.749622i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.23922 | − | 10.4186i | 0.286460 | − | 0.704027i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.90091 | − | 4.90091i | −0.329671 | − | 0.329671i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.61949 | + | 6.61949i | 0.443274 | + | 0.443274i | 0.893111 | − | 0.449837i | \(-0.148518\pi\) |
−0.449837 | + | 0.893111i | \(0.648518\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.7204 | − | 2.88246i | −0.981363 | − | 0.192164i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −28.7764 | −1.90996 | −0.954978 | − | 0.296677i | \(-0.904121\pi\) | ||||
−0.954978 | + | 0.296677i | \(0.904121\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.08971 | − | 9.08971i | 0.600665 | − | 0.600665i | −0.339824 | − | 0.940489i | \(-0.610368\pi\) |
0.940489 | + | 0.339824i | \(0.110368\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −20.0900 | + | 8.46947i | −1.32182 | + | 0.557250i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.4047 | + | 12.4047i | 0.812662 | + | 0.812662i | 0.985032 | − | 0.172370i | \(-0.0551426\pi\) |
−0.172370 | + | 0.985032i | \(0.555143\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.60058 | − | 2.86229i | 0.626273 | − | 0.186715i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.16841 | − | 2.77152i | −0.0758965 | − | 0.180030i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −17.8479 | −1.15448 | −0.577242 | − | 0.816573i | \(-0.695871\pi\) | ||||
−0.577242 | + | 0.816573i | \(0.695871\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.1589 | −0.976472 | −0.488236 | − | 0.872712i | \(-0.662359\pi\) | ||||
−0.488236 | + | 0.872712i | \(0.662359\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.41386 | + | 14.2078i | 0.411449 | + | 0.911433i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 36.8998 | + | 19.9506i | 2.35744 | + | 1.27460i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.58466 | + | 1.58466i | 0.100829 | + | 0.100829i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.508102 | − | 1.20524i | −0.0321997 | − | 0.0763791i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.03931 | + | 6.03931i | −0.381198 | + | 0.381198i | −0.871534 | − | 0.490336i | \(-0.836874\pi\) |
0.490336 | + | 0.871534i | \(0.336874\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.23232 | −0.517561 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −11.1237 | + | 9.15680i | −0.696595 | + | 0.573421i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.85518 | − | 8.85518i | −0.552371 | − | 0.552371i | 0.374753 | − | 0.927125i | \(-0.377727\pi\) |
−0.927125 | + | 0.374753i | \(0.877727\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 32.9880 | + | 32.9880i | 2.04978 | + | 2.04978i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.120062 | − | 9.57540i | −0.00743162 | − | 0.592702i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.98311 | − | 9.98311i | −0.615585 | − | 0.615585i | 0.328811 | − | 0.944396i | \(-0.393352\pi\) |
−0.944396 | + | 0.328811i | \(0.893352\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.03795 | − | 14.8667i | 0.493767 | − | 0.913252i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.48962 | + | 13.0216i | 0.335959 | + | 0.796910i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 15.2141 | − | 15.2141i | 0.927622 | − | 0.927622i | −0.0699303 | − | 0.997552i | \(-0.522278\pi\) |
0.997552 | + | 0.0699303i | \(0.0222777\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.8247 | 1.38650 | 0.693251 | − | 0.720697i | \(-0.256178\pi\) | ||||
0.693251 | + | 0.720697i | \(0.256178\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 15.1706 | + | 6.17274i | 0.918168 | + | 0.373592i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −12.1386 | − | 2.53533i | −0.731986 | − | 0.152886i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.36620 | 0.382508 | 0.191254 | − | 0.981541i | \(-0.438745\pi\) | ||||
0.191254 | + | 0.981541i | \(0.438745\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.44480 | + | 6.60847i | −0.385840 | + | 0.395639i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.37349 | −0.559175 | −0.279588 | − | 0.960120i | \(-0.590198\pi\) | ||||
−0.279588 | + | 0.960120i | \(0.590198\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.2536i | 1.02562i | 0.858502 | + | 0.512810i | \(0.171396\pi\) | ||||
−0.858502 | + | 0.512810i | \(0.828604\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.59675 | − | 2.96076i | 0.213053 | − | 0.175380i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 28.3166 | + | 28.3166i | 1.67147 | + | 1.67147i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 3.16105i | − | 0.185944i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.48119 | + | 3.64029i | −0.0868288 | + | 0.213397i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −28.2155 | −1.64837 | −0.824184 | − | 0.566322i | \(-0.808366\pi\) | ||||
−0.824184 | + | 0.566322i | \(0.808366\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.9448 | + | 3.26306i | −0.637233 | + | 0.189983i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.15468 | + | 11.8112i | 0.299105 | + | 0.685356i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.37296 | + | 4.37296i | 0.252895 | + | 0.252895i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.17478 | + | 5.17478i | −0.298270 | + | 0.298270i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.16605 | − | 7.78114i | 0.181885 | − | 0.447015i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.29118 | + | 7.68501i | 0.131193 | + | 0.440042i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.66927i | 0.266489i | 0.991083 | + | 0.133245i | \(0.0425396\pi\) | ||||
−0.991083 | + | 0.133245i | \(0.957460\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −11.9333 | + | 29.3281i | −0.678860 | + | 1.66842i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.8492 | −0.671907 | −0.335953 | − | 0.941879i | \(-0.609058\pi\) | ||||
−0.335953 | + | 0.941879i | \(0.609058\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.99137 | + | 8.99137i | −0.508222 | + | 0.508222i | −0.913980 | − | 0.405758i | \(-0.867007\pi\) |
0.405758 | + | 0.913980i | \(0.367007\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 15.8161 | − | 30.1502i | 0.891134 | − | 1.69877i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −12.4217 | −0.697669 | −0.348835 | − | 0.937184i | \(-0.613423\pi\) | ||||
−0.348835 | + | 0.937184i | \(0.613423\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 7.91664i | − | 0.443247i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.01925 | + | 9.53383i | 0.224332 | + | 0.532126i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 4.47469i | − | 0.248978i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.10121 | + | 7.79472i | 0.282964 | + | 0.432373i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.26945 | − | 0.516524i | −0.0702007 | − | 0.0285638i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 22.7391i | 1.25365i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.81900 | − | 6.81900i | −0.374806 | − | 0.374806i | 0.494418 | − | 0.869224i | \(-0.335381\pi\) |
−0.869224 | + | 0.494418i | \(0.835381\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 19.2528 | − | 19.7417i | 1.05505 | − | 1.08184i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.65326 | + | 1.43453i | 0.144963 | + | 0.0783770i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.86691 | + | 6.86691i | −0.374064 | + | 0.374064i | −0.868955 | − | 0.494891i | \(-0.835208\pi\) |
0.494891 | + | 0.868955i | \(0.335208\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.41960 | − | 10.8620i | 0.240040 | − | 0.589941i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.39601 | + | 5.39601i | −0.292211 | + | 0.292211i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −42.2036 | + | 42.2036i | −2.27878 | + | 2.27878i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.92544 | − | 8.17040i | 0.534368 | − | 0.439880i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 22.0820i | − | 1.18543i | −0.805414 | − | 0.592713i | \(-0.798057\pi\) | ||
0.805414 | − | 0.592713i | \(-0.201943\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 20.0088 | + | 20.0088i | 1.07105 | + | 1.07105i | 0.997275 | + | 0.0737742i | \(0.0235044\pi\) |
0.0737742 | + | 0.997275i | \(0.476496\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.53592 | − | 9.01220i | 0.188733 | − | 0.481036i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.38668 | − | 8.38668i | 0.446378 | − | 0.446378i | −0.447770 | − | 0.894149i | \(-0.647782\pi\) |
0.894149 | + | 0.447770i | \(0.147782\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.1307 | − | 22.4365i | 0.643832 | − | 1.19080i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −12.7039 | − | 30.1342i | −0.672361 | − | 1.59487i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 5.32243i | − | 0.280907i | −0.990087 | − | 0.140454i | \(-0.955144\pi\) | ||
0.990087 | − | 0.140454i | \(-0.0448561\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 17.5532i | − | 0.923850i | ||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.26266 | − | 7.73918i | −0.171245 | − | 0.406202i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.14884 | + | 13.9159i | 0.217160 | + | 0.728391i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.73756 | + | 8.73756i | −0.456097 | + | 0.456097i | −0.897372 | − | 0.441275i | \(-0.854526\pi\) |
0.441275 | + | 0.897372i | \(0.354526\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 16.5264 | − | 16.9461i | 0.860329 | − | 0.882177i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 27.1249 | + | 27.1249i | 1.40826 | + | 1.40826i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 20.2482i | 1.04841i | 0.851592 | + | 0.524205i | \(0.175638\pi\) | ||||
−0.851592 | + | 0.524205i | \(0.824362\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 17.1514 | − | 8.99054i | 0.885694 | − | 0.464270i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.20528 | + | 4.20528i | −0.216583 | + | 0.216583i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.8709 | − | 18.8709i | 0.969332 | − | 0.969332i | −0.0302112 | − | 0.999544i | \(-0.509618\pi\) |
0.999544 | + | 0.0302112i | \(0.00961800\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.81614 | + | 9.37886i | −0.195507 | + | 0.480493i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.3590 | + | 16.3590i | −0.835906 | + | 0.835906i | −0.988317 | − | 0.152411i | \(-0.951296\pi\) |
0.152411 | + | 0.988317i | \(0.451296\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.3867 | − | 24.7594i | 0.682247 | − | 1.26186i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.09686 | + | 3.02016i | 0.157422 | + | 0.153523i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6.57439 | − | 6.57439i | −0.333335 | − | 0.333335i | 0.520517 | − | 0.853851i | \(-0.325739\pi\) |
−0.853851 | + | 0.520517i | \(0.825739\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 12.3482i | − | 0.624474i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.5603 | − | 5.51753i | −0.684027 | − | 0.278322i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.41570 | + | 1.84677i | 0.171863 | + | 0.0929208i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.0317i | 1.60762i | 0.594883 | + | 0.803812i | \(0.297198\pi\) | ||||
−0.594883 | + | 0.803812i | \(0.702802\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.10768 | + | 9.74360i | 0.205641 | + | 0.487790i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.7490i | 0.686591i | 0.939227 | + | 0.343295i | \(0.111543\pi\) | ||||
−0.939227 | + | 0.343295i | \(0.888457\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.73267 | 0.285565 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −17.9372 | − | 9.12449i | −0.891307 | − | 0.453400i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 16.1197 | − | 16.1197i | 0.799024 | − | 0.799024i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.0398 | 1.28759 | 0.643793 | − | 0.765200i | \(-0.277360\pi\) | ||||
0.643793 | + | 0.765200i | \(0.277360\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.29566 | − | 20.3881i | 0.409195 | − | 1.00567i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 25.9230i | − | 1.27559i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.48537 | + | 0.803095i | 0.0729140 | + | 0.0394224i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 11.2215 | − | 27.5789i | 0.549520 | − | 1.35054i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.26684 | − | 6.26684i | 0.306155 | − | 0.306155i | −0.537261 | − | 0.843416i | \(-0.680541\pi\) |
0.843416 | + | 0.537261i | \(0.180541\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.48981 | + | 5.48981i | 0.267557 | + | 0.267557i | 0.828115 | − | 0.560558i | \(-0.189413\pi\) |
−0.560558 | + | 0.828115i | \(0.689413\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 13.4397 | − | 0.168515i | 0.653462 | − | 0.00819346i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.80290 | − | 18.2075i | 0.184468 | − | 0.883192i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.2020 | −0.880859 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.01633 | − | 7.41318i | 0.145630 | − | 0.357912i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 25.7055i | − | 1.23819i | −0.785316 | − | 0.619095i | \(-0.787500\pi\) | ||
0.785316 | − | 0.619095i | \(-0.212500\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.3977 | − | 16.3977i | −0.788023 | − | 0.788023i | 0.193147 | − | 0.981170i | \(-0.438131\pi\) |
−0.981170 | + | 0.193147i | \(0.938131\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.85710 | + | 9.54484i | 0.376719 | + | 0.457640i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.99266i | 0.190995i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.1043 | 0.816342 | 0.408171 | − | 0.912906i | \(-0.366167\pi\) | ||||
0.408171 | + | 0.912906i | \(0.366167\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 40.2910 | + | 39.2932i | 1.91862 | + | 1.87110i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −20.7177 | −0.984328 | −0.492164 | − | 0.870502i | \(-0.663794\pi\) | ||||
−0.492164 | + | 0.870502i | \(0.663794\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.0482 | − | 8.67677i | −0.760757 | − | 0.411318i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 19.1832 | + | 7.80540i | 0.907332 | + | 0.369183i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.19887 | −0.434121 | −0.217061 | − | 0.976158i | \(-0.569647\pi\) | ||||
−0.217061 | + | 0.976158i | \(0.569647\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.8370 | − | 13.8370i | 0.651558 | − | 0.651558i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.98685 | + | 4.71291i | 0.0933506 | + | 0.221432i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −20.2630 | + | 6.04115i | −0.949944 | + | 0.283213i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.7004 | − | 14.7004i | −0.687654 | − | 0.687654i | 0.274059 | − | 0.961713i | \(-0.411634\pi\) |
−0.961713 | + | 0.274059i | \(0.911634\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −17.7164 | + | 7.73183i | −0.826930 | + | 0.360891i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.02405 | + | 9.02405i | 0.420292 | + | 0.420292i | 0.885304 | − | 0.465012i | \(-0.153950\pi\) |
−0.465012 | + | 0.885304i | \(0.653950\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.23314 | − | 9.23314i | −0.429100 | − | 0.429100i | 0.459222 | − | 0.888322i | \(-0.348128\pi\) |
−0.888322 | + | 0.459222i | \(0.848128\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.15037 | − | 11.8612i | 0.0533472 | − | 0.550051i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 12.0452 | 0.557385 | 0.278693 | − | 0.960380i | \(-0.410099\pi\) | ||||
0.278693 | + | 0.960380i | \(0.410099\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.84100 | + | 4.84100i | −0.223536 | + | 0.223536i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.847043 | + | 2.00922i | 0.0390297 | + | 0.0925802i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.52868 | + | 2.52868i | 0.116269 | + | 0.116269i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.22963 | + | 5.88720i | −0.0564193 | + | 0.270123i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 15.8309 | − | 16.2330i | 0.724848 | − | 0.743256i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 14.5523 | 0.664913 | 0.332456 | − | 0.943119i | \(-0.392123\pi\) | ||||
0.332456 | + | 0.943119i | \(0.392123\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.1254 | −0.780851 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.3354 | + | 26.8881i | 0.515778 | + | 1.22345i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.44961 | − | 4.86223i | −0.0658235 | − | 0.220783i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.60134 | − | 8.60134i | −0.389764 | − | 0.389764i | 0.484839 | − | 0.874603i | \(-0.338878\pi\) |
−0.874603 | + | 0.484839i | \(0.838878\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.21752 | − | 3.04274i | 0.326388 | − | 0.137598i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.4513 | + | 16.4513i | −0.742438 | + | 0.742438i | −0.973047 | − | 0.230609i | \(-0.925928\pi\) |
0.230609 | + | 0.973047i | \(0.425928\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.8747 | 0.534808 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −14.7330 | − | 7.72857i | −0.662200 | − | 0.347373i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 40.9364 | + | 40.9364i | 1.83625 | + | 1.83625i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.28594 | + | 4.28594i | 0.191865 | + | 0.191865i | 0.796501 | − | 0.604637i | \(-0.206682\pi\) |
−0.604637 | + | 0.796501i | \(0.706682\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −10.4148 | + | 25.5963i | −0.465300 | + | 1.14356i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.60889 | − | 7.60889i | −0.339264 | − | 0.339264i | 0.516827 | − | 0.856090i | \(-0.327113\pi\) |
−0.856090 | + | 0.516827i | \(0.827113\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.09855 | + | 10.3931i | 0.137884 | + | 0.462485i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 15.2082 | − | 6.41141i | 0.675418 | − | 0.284741i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −24.7598 | + | 24.7598i | −1.09746 | + | 1.09746i | −0.102754 | + | 0.994707i | \(0.532765\pi\) |
−0.994707 | + | 0.102754i | \(0.967235\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −32.9600 | −1.45807 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.72842 | − | 2.50001i | 0.252916 | − | 0.110378i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.6789 | − | 39.1728i | −0.514632 | − | 1.72616i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.1115 | 0.488685 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.6043 | − | 29.8981i | −0.553269 | − | 1.31238i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16.6628 | −0.730011 | −0.365005 | − | 0.931005i | \(-0.618933\pi\) | ||||
−0.365005 | + | 0.931005i | \(0.618933\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 33.6498i | − | 1.47140i | −0.677305 | − | 0.735702i | \(-0.736852\pi\) | ||
0.677305 | − | 0.735702i | \(-0.263148\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 8.43333 | + | 43.1376i | 0.368060 | + | 1.88268i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.09382 | − | 8.09382i | −0.352572 | − | 0.352572i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 11.9820i | − | 0.520957i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −15.3215 | + | 0.192110i | −0.664898 | + | 0.00833685i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.7003 | −0.636739 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.7497 | − | 6.35273i | −0.507986 | − | 0.274652i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.513121 | − | 1.26109i | 0.0221428 | − | 0.0544199i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 32.8988 | + | 32.8988i | 1.41705 | + | 1.41705i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.3993 | − | 10.3993i | 0.447100 | − | 0.447100i | −0.447289 | − | 0.894389i | \(-0.647611\pi\) |
0.894389 | + | 0.447289i | \(0.147611\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.8107 | + | 7.65386i | 0.807245 | + | 0.328458i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.69557 | − | 0.505512i | 0.0726302 | − | 0.0216538i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 31.1709i | 1.33277i | 0.745606 | + | 0.666387i | \(0.232160\pi\) | ||||
−0.745606 | + | 0.666387i | \(0.767840\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.134891 | + | 10.7581i | 0.00575702 | + | 0.459146i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.83956 | −0.163571 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.23211 | + | 6.23211i | −0.265016 | + | 0.265016i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.43655 | + | 35.4335i | −0.145873 | + | 1.50407i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.16851 | −0.303739 | −0.151870 | − | 0.988401i | \(-0.548529\pi\) | ||||
−0.151870 | + | 0.988401i | \(0.548529\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 2.68644i | − | 0.113624i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −14.7252 | + | 6.20780i | −0.621698 | + | 0.262094i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 27.1779i | 1.14541i | 0.819761 | + | 0.572706i | \(0.194106\pi\) | ||||
−0.819761 | + | 0.572706i | \(0.805894\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.32538 | + | 14.5080i | 0.181970 | + | 0.610358i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 31.4796 | − | 33.0993i | 1.32202 | − | 1.39004i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 38.2814i | − | 1.60484i | −0.596760 | − | 0.802420i | \(-0.703545\pi\) | ||
0.596760 | − | 0.802420i | \(-0.296455\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.9686 | + | 18.9686i | 0.793812 | + | 0.793812i | 0.982112 | − | 0.188300i | \(-0.0602977\pi\) |
−0.188300 | + | 0.982112i | \(0.560298\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.7201 | + | 42.0328i | 0.740268 | + | 1.75595i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.39324 | + | 16.2461i | −0.141508 | + | 0.677509i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −24.0744 | + | 24.0744i | −1.00223 | + | 1.00223i | −0.00223126 | + | 0.999998i | \(0.500710\pi\) |
−0.999998 | + | 0.00223126i | \(0.999290\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −16.1795 | − | 6.58324i | −0.672397 | − | 0.273590i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.71013 | + | 2.71013i | −0.112435 | + | 0.112435i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.2547 | − | 13.2547i | 0.548954 | − | 0.548954i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.72073 | + | 11.9315i | 0.153833 | + | 0.493306i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 5.91999i | − | 0.244344i | −0.992509 | − | 0.122172i | \(-0.961014\pi\) | ||
0.992509 | − | 0.122172i | \(-0.0389860\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.61706 | + | 2.61706i | 0.107834 | + | 0.107834i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.85674 | + | 21.0086i | 0.364317 | + | 0.864177i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 29.2667 | − | 29.2667i | 1.20184 | − | 1.20184i | 0.228232 | − | 0.973607i | \(-0.426706\pi\) |
0.973607 | − | 0.228232i | \(-0.0732944\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 37.1382 | + | 20.0795i | 1.52252 | + | 0.823179i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 27.7731 | − | 11.7085i | 1.13668 | − | 0.479198i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 15.8668i | − | 0.648301i | −0.946006 | − | 0.324150i | \(-0.894922\pi\) | ||
0.946006 | − | 0.324150i | \(-0.105078\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.04285i | 0.0425388i | 0.999774 | + | 0.0212694i | \(0.00677077\pi\) | ||||
−0.999774 | + | 0.0212694i | \(0.993229\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.89710 | + | 2.82535i | 0.117979 | + | 0.115057i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 9.53798 | + | 5.15689i | 0.387774 | + | 0.209658i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.178537 | + | 0.178537i | −0.00724658 | + | 0.00724658i | −0.710721 | − | 0.703474i | \(-0.751631\pi\) |
0.703474 | + | 0.710721i | \(0.251631\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −25.8570 | + | 10.9007i | −1.04778 | + | 0.441720i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.90239 | − | 5.90239i | −0.238785 | − | 0.238785i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 20.6148i | − | 0.832626i | −0.909221 | − | 0.416313i | \(-0.863322\pi\) | ||
0.909221 | − | 0.416313i | \(-0.136678\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.94989 | + | 30.4157i | −0.118951 | + | 1.22648i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −24.9684 | + | 24.9684i | −1.00519 | + | 1.00519i | −0.00520238 | + | 0.999986i | \(0.501656\pi\) |
−0.999986 | + | 0.00520238i | \(0.998344\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.37593 | + | 6.37593i | −0.256270 | + | 0.256270i | −0.823535 | − | 0.567265i | \(-0.808001\pi\) |
0.567265 | + | 0.823535i | \(0.308001\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.8079 | − | 6.89894i | 0.634350 | − | 0.276845i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 29.2807 | − | 29.2807i | 1.17311 | − | 1.17311i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.0067 | + | 22.9100i | −0.400268 | + | 0.916398i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.76124 | − | 2.00723i | 0.190146 | − | 0.0801611i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 24.1790 | + | 24.1790i | 0.964078 | + | 0.964078i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 13.0451i | − | 0.519318i | −0.965700 | − | 0.259659i | \(-0.916390\pi\) | ||
0.965700 | − | 0.259659i | \(-0.0836101\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.8358 | − | 26.6310i | 0.430686 | − | 1.05849i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.73479 | − | 12.5271i | −0.148210 | − | 0.497122i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 34.9514i | − | 1.38482i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 23.8917 | − | 24.4985i | 0.945142 | − | 0.969144i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 44.3272i | − | 1.75082i | −0.483381 | − | 0.875410i | \(-0.660591\pi\) | ||
0.483381 | − | 0.875410i | \(-0.339409\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −34.8590 | −1.37470 | −0.687352 | − | 0.726324i | \(-0.741227\pi\) | ||||
−0.687352 | + | 0.726324i | \(0.741227\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.55840 | − | 0.539086i | −0.218862 | − | 0.0212265i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −19.9549 | + | 19.9549i | −0.784510 | + | 0.784510i | −0.980588 | − | 0.196078i | \(-0.937179\pi\) |
0.196078 | + | 0.980588i | \(0.437179\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.6674 | −0.497238 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 25.0542 | + | 10.1943i | 0.981952 | + | 0.399544i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − | 35.3830i | − | 1.38464i | −0.721590 | − | 0.692321i | \(-0.756588\pi\) | ||
0.721590 | − | 0.692321i | \(-0.243412\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.1121 | − | 5.39990i | 0.707700 | − | 0.210991i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.244259 | + | 19.4807i | 0.00952947 | + | 0.760014i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.6897 | − | 11.6897i | 0.455365 | − | 0.455365i | −0.441766 | − | 0.897130i | \(-0.645648\pi\) |
0.897130 | + | 0.441766i | \(0.145648\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.75765 | − | 7.75765i | −0.301738 | − | 0.301738i | 0.539956 | − | 0.841693i | \(-0.318441\pi\) |
−0.841693 | + | 0.539956i | \(0.818441\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 11.1195 | + | 4.52439i | 0.431845 | + | 0.175713i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −12.0083 | − | 6.49251i | −0.465661 | − | 0.251769i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.5955 | −0.410259 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −15.0187 | − | 6.11094i | −0.580658 | − | 0.236263i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.89449i | 0.343368i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.87832 | − | 3.87832i | −0.149498 | − | 0.149498i | 0.628396 | − | 0.777894i | \(-0.283712\pi\) |
−0.777894 | + | 0.628396i | \(0.783712\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 25.4336 | − | 5.30412i | 0.978938 | − | 0.204156i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 38.9780i | − | 1.49805i | −0.662544 | − | 0.749023i | \(-0.730523\pi\) | ||
0.662544 | − | 0.749023i | \(-0.269477\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.5163 | 0.441954 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 45.9277 | − | 19.3621i | 1.75995 | − | 0.741956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.39734 | 0.244787 | 0.122394 | − | 0.992482i | \(-0.460943\pi\) | ||||
0.122394 | + | 0.992482i | \(0.460943\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.11880 | + | 27.2318i | 0.310203 | + | 1.04047i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −8.39138 | + | 20.6233i | −0.320151 | + | 0.786829i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −14.0817 | −0.536468 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.9727 | + | 22.9727i | −0.873922 | + | 0.873922i | −0.992897 | − | 0.118976i | \(-0.962039\pi\) |
0.118976 | + | 0.992897i | \(0.462039\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 26.3653 | − | 27.0349i | 1.00154 | − | 1.02697i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.9823 | + | 36.8364i | 0.416582 | + | 1.39728i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 20.7550 | + | 20.7550i | 0.786150 | + | 0.786150i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −28.1447 | − | 11.4517i | −1.06453 | − | 0.433144i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.909621 | − | 0.909621i | −0.0343559 | − | 0.0343559i | 0.689720 | − | 0.724076i | \(-0.257734\pi\) |
−0.724076 | + | 0.689720i | \(0.757734\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.81803 | − | 7.81803i | −0.294863 | − | 0.294863i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −13.3968 | + | 11.0280i | −0.504554 | + | 0.415337i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −24.6161 | −0.925784 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.4965 | + | 28.4965i | −1.07021 | + | 1.07021i | −0.0728671 | + | 0.997342i | \(0.523215\pi\) |
−0.997342 | + | 0.0728671i | \(0.976785\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.72962 | + | 3.63725i | 0.139872 | + | 0.136407i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.22193 | + | 7.22193i | 0.270463 | + | 0.270463i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.95203 | + | 9.90158i | 0.110400 | + | 0.370298i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 28.4856 | − | 12.0089i | 1.06381 | − | 0.448480i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.8451 | −0.628217 | −0.314108 | − | 0.949387i | \(-0.601706\pi\) | ||||
−0.314108 | + | 0.949387i | \(0.601706\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 92.7814 | 3.45536 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 24.1939 | − | 10.1996i | 0.899782 | − | 0.379328i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −15.6231 | − | 3.26312i | −0.580228 | − | 0.121189i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.7957 | + | 10.7957i | 0.400390 | + | 0.400390i | 0.878370 | − | 0.477981i | \(-0.158631\pi\) |
−0.477981 | + | 0.878370i | \(0.658631\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.7963 | − | 18.3604i | −0.733197 | − | 0.680016i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.79292 | + | 3.79292i | −0.140286 | + | 0.140286i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.22075 | −0.0450894 | −0.0225447 | − | 0.999746i | \(-0.507177\pi\) | ||||
−0.0225447 | + | 0.999746i | \(0.507177\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −72.3165 | − | 7.01367i | −2.66743 | − | 0.258703i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.36557 | + | 2.36557i | 0.0871369 | + | 0.0871369i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −23.9011 | − | 23.9011i | −0.879217 | − | 0.879217i | 0.114236 | − | 0.993454i | \(-0.463558\pi\) |
−0.993454 | + | 0.114236i | \(0.963558\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.59538 | − | 1.46292i | −0.132080 | − | 0.0537416i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 21.4093 | + | 21.4093i | 0.785429 | + | 0.785429i | 0.980741 | − | 0.195312i | \(-0.0625719\pi\) |
−0.195312 | + | 0.980741i | \(0.562572\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −25.6224 | + | 7.63899i | −0.938733 | + | 0.279871i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.62188 | + | 1.58171i | 0.0593416 | + | 0.0578719i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 21.4380 | − | 21.4380i | 0.783327 | − | 0.783327i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 29.1166 | 1.06248 | 0.531240 | − | 0.847222i | \(-0.321726\pi\) | ||||
0.531240 | + | 0.847222i | \(0.321726\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.57533 | − | 13.7024i | 0.203176 | − | 0.499343i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.80831 | − | 3.14038i | −0.211386 | − | 0.114290i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.67244 | −0.351551 | −0.175775 | − | 0.984430i | \(-0.556243\pi\) | ||||
−0.175775 | + | 0.984430i | \(0.556243\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 13.1389 | − | 5.53908i | 0.476913 | − | 0.201056i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.97234 | −0.0714972 | −0.0357486 | − | 0.999361i | \(-0.511382\pi\) | ||||
−0.0357486 | + | 0.999361i | \(0.511382\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.01598i | 0.145388i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 11.5926 | − | 22.0990i | 0.419130 | − | 0.798990i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 6.72884 | + | 6.72884i | 0.242964 | + | 0.242964i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 24.3132i | − | 0.876756i | −0.898791 | − | 0.438378i | \(-0.855553\pi\) | ||
0.898791 | − | 0.438378i | \(-0.144447\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 20.0912 | + | 8.17488i | 0.723568 | + | 0.294411i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.61533 | −0.0940670 | −0.0470335 | − | 0.998893i | \(-0.514977\pi\) | ||||
−0.0470335 | + | 0.998893i | \(0.514977\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.42463 | + | 12.8729i | 0.302621 | + | 0.462410i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −74.8453 | − | 30.4537i | −2.68506 | − | 1.09252i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.71091 | − | 6.71091i | −0.240443 | − | 0.240443i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 20.0037 | − | 20.0037i | 0.715790 | − | 0.715790i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.63439 | + | 15.2017i | 0.237094 | + | 0.543266i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.47622 | − | 1.33882i | −0.0883801 | − | 0.0477844i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 32.2329i | − | 1.14898i | −0.818511 | − | 0.574490i | \(-0.805200\pi\) | ||
0.818511 | − | 0.574490i | \(-0.194800\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 22.6503 | + | 9.21615i | 0.806373 | + | 0.328104i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −34.3625 | −1.22179 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.72471 | − | 4.72471i | 0.167779 | − | 0.167779i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.82576 | + | 29.1358i | −0.100219 | + | 1.03334i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −45.8714 | −1.62485 | −0.812425 | − | 0.583066i | \(-0.801853\pi\) | ||||
−0.812425 | + | 0.583066i | \(0.801853\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.6669i | 0.589633i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −17.5231 | − | 17.0891i | −0.619148 | − | 0.603813i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 16.1060i | 0.568369i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.1376 | − | 17.9165i | −1.16795 | − | 0.631472i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −14.0453 | + | 34.5188i | −0.494417 | + | 1.21512i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.9119i | 0.489115i | 0.969635 | + | 0.244558i | \(0.0786428\pi\) | ||||
−0.969635 | + | 0.244558i | \(0.921357\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.7468 | − | 14.7468i | −0.517830 | − | 0.517830i | 0.399084 | − | 0.916914i | \(-0.369328\pi\) |
−0.916914 | + | 0.399084i | \(0.869328\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −36.4287 | + | 15.3575i | −1.27761 | + | 0.538611i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.80929 | + | 8.89506i | −0.168462 | + | 0.311581i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.22640 | − | 1.22640i | 0.0429064 | − | 0.0429064i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −28.3659 | + | 0.355667i | −0.991185 | + | 0.0124280i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −14.3064 | + | 14.3064i | −0.499298 | + | 0.499298i | −0.911219 | − | 0.411922i | \(-0.864858\pi\) |
0.411922 | + | 0.911219i | \(0.364858\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.19550 | − | 5.19550i | 0.181104 | − | 0.181104i | −0.610733 | − | 0.791837i | \(-0.709125\pi\) |
0.791837 | + | 0.610733i | \(0.209125\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 21.0793 | − | 4.12097i | 0.733888 | − | 0.143474i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 30.8268i | 1.07195i | 0.844233 | + | 0.535977i | \(0.180057\pi\) | ||||
−0.844233 | + | 0.535977i | \(0.819943\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.85151 | − | 8.85151i | −0.307426 | − | 0.307426i | 0.536484 | − | 0.843910i | \(-0.319752\pi\) |
−0.843910 | + | 0.536484i | \(0.819752\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.1606 | + | 4.28347i | −0.352467 | + | 0.148592i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −49.3470 | + | 49.3470i | −1.70977 | + | 1.70977i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.1928 | − | 34.1883i | −0.352736 | − | 1.18313i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 5.83955 | − | 14.8836i | 0.201844 | − | 0.514452i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.85793i | 0.133190i | 0.997780 | + | 0.0665952i | \(0.0212136\pi\) | ||||
−0.997780 | + | 0.0665952i | \(0.978786\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.8108i | 0.648649i | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.9603 | − | 6.30691i | 0.515259 | − | 0.217222i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −10.1337 | + | 18.7429i | −0.348611 | + | 0.644777i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.4025 | + | 17.4025i | −0.597957 | + | 0.597957i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −11.6090 | − | 27.5371i | −0.398420 | − | 0.945071i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.5743 | − | 21.5743i | −0.739558 | − | 0.739558i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 24.8147i | − | 0.849638i | −0.905278 | − | 0.424819i | \(-0.860338\pi\) | ||
0.905278 | − | 0.424819i | \(-0.139662\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.74834 | + | 7.14549i | −0.128191 | + | 0.244371i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.55141 | − | 1.55141i | 0.0529951 | − | 0.0529951i | −0.680113 | − | 0.733108i | \(-0.738069\pi\) |
0.733108 | + | 0.680113i | \(0.238069\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.93140 | + | 5.93140i | −0.202377 | + | 0.202377i | −0.801018 | − | 0.598641i | \(-0.795708\pi\) |
0.598641 | + | 0.801018i | \(0.295708\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −64.2464 | − | 26.1411i | −2.18951 | − | 0.890886i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 8.09682 | − | 8.09682i | 0.275619 | − | 0.275619i | −0.555738 | − | 0.831357i | \(-0.687564\pi\) |
0.831357 | + | 0.555738i | \(0.187564\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.8472 | + | 19.9221i | 1.25284 | + | 0.677373i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.12690 | + | 5.04510i | 0.0722333 | + | 0.171341i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.04534 | + | 3.04534i | 0.103306 | + | 0.103306i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 2.51316i | − | 0.0851551i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.0853446 | − | 6.80658i | −0.00288848 | − | 0.230368i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −43.3438 | − | 36.6234i | −1.46529 | − | 1.23810i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 33.9586i | 1.14670i | 0.819310 | + | 0.573351i | \(0.194357\pi\) | ||||
−0.819310 | + | 0.573351i | \(0.805643\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 45.0325 | − | 18.9847i | 1.51891 | − | 0.640337i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 47.8788i | 1.61308i | 0.591180 | + | 0.806539i | \(0.298662\pi\) | ||||
−0.591180 | + | 0.806539i | \(0.701338\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −38.5302 | −1.29664 | −0.648322 | − | 0.761367i | \(-0.724529\pi\) | ||||
−0.648322 | + | 0.761367i | \(0.724529\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 15.2726 | − | 12.5721i | 0.513384 | − | 0.422606i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −35.8564 | + | 35.8564i | −1.20394 | + | 1.20394i | −0.230981 | + | 0.972958i | \(0.574193\pi\) |
−0.972958 | + | 0.230981i | \(0.925807\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 29.6706 | 0.995119 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −16.1741 | − | 15.3826i | −0.541853 | − | 0.515337i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − | 5.38908i | − | 0.180339i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.502182 | + | 1.68440i | 0.0167861 | + | 0.0563033i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.92167 | − | 4.03701i | −0.331275 | − | 0.134792i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.94500 | + | 6.94500i | −0.231629 | + | 0.231629i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.8816 | + | 19.8816i | 0.662351 | + | 0.662351i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.77723 | − | 11.7409i | 0.158976 | − | 0.390712i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −25.1250 | + | 7.49068i | −0.835182 | + | 0.248999i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 52.5256 | 1.74408 | 0.872042 | − | 0.489430i | \(-0.162795\pi\) | ||||
0.872042 | + | 0.489430i | \(0.162795\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.182425 | + | 14.5491i | 0.00605064 | + | 0.482564i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 6.13423i | − | 0.203236i | −0.994823 | − | 0.101618i | \(-0.967598\pi\) | ||
0.994823 | − | 0.101618i | \(-0.0324020\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.32432 | + | 1.32432i | 0.0438285 | + | 0.0438285i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −8.82760 | − | 10.7238i | −0.291831 | − | 0.354518i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 42.8989i | 1.41665i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 38.1249 | 1.25762 | 0.628812 | − | 0.777557i | \(-0.283542\pi\) | ||||
0.628812 | + | 0.777557i | \(0.283542\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.14170 | − | 7.45224i | −0.103522 | − | 0.245560i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −21.2518 | −0.699510 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −25.1672 | − | 38.4558i | −0.827492 | − | 1.26442i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.687583 | − | 54.8375i | −0.0225832 | − | 1.80110i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −40.7400 | −1.33664 | −0.668318 | − | 0.743876i | \(-0.732985\pi\) | ||||
−0.668318 | + | 0.743876i | \(0.732985\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.9559 | − | 15.9559i | 0.522933 | − | 0.522933i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 18.9116 | − | 7.97269i | 0.619137 | − | 0.261014i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 9.81191 | − | 18.1477i | 0.320884 | − | 0.593494i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 40.7663 | + | 40.7663i | 1.33178 | + | 1.33178i | 0.903780 | + | 0.427998i | \(0.140781\pi\) |
0.427998 | + | 0.903780i | \(0.359219\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.30060 | − | 20.4002i | 0.270880 | − | 0.665735i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 18.7094 | + | 18.7094i | 0.609909 | + | 0.609909i | 0.942922 | − | 0.333013i | \(-0.108065\pi\) |
−0.333013 | + | 0.942922i | \(0.608065\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.5192 | − | 18.5192i | −0.603067 | − | 0.603067i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.95628 | + | 58.7621i | −0.161228 | + | 1.91153i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.81050 | 0.318799 | 0.159399 | − | 0.987214i | \(-0.449044\pi\) | ||||
0.159399 | + | 0.987214i | \(0.449044\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.55544 | − | 8.55544i | 0.277721 | − | 0.277721i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 19.8252 | − | 8.35785i | 0.642876 | − | 0.271022i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 35.8210 | + | 35.8210i | 1.16035 | + | 1.16035i | 0.984398 | + | 0.175957i | \(0.0563020\pi\) |
0.175957 | + | 0.984398i | \(0.443698\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −51.8024 | − | 28.0080i | −1.67629 | − | 0.906317i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.32668 | + | 12.6351i | 0.172187 | + | 0.408435i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −64.4989 | −2.08278 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.5325 | −0.694598 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.8296 | − | 12.5118i | −0.413428 | − | 0.403189i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 21.6105 | − | 6.44289i | 0.695667 | − | 0.207404i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.81689 | − | 3.81689i | −0.122743 | − | 0.122743i | 0.643067 | − | 0.765810i | \(-0.277662\pi\) |
−0.765810 | + | 0.643067i | \(0.777662\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 3.01077 | + | 7.14169i | 0.0967200 | + | 0.229424i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 26.4895 | − | 26.4895i | 0.850088 | − | 0.850088i | −0.140056 | − | 0.990144i | \(-0.544728\pi\) |
0.990144 | + | 0.140056i | \(0.0447283\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −87.2475 | −2.79703 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −13.3863 | − | 9.00820i | −0.428704 | − | 0.288493i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −43.2079 | − | 43.2079i | −1.38234 | − | 1.38234i | −0.840440 | − | 0.541905i | \(-0.817703\pi\) |
−0.541905 | − | 0.840440i | \(-0.682297\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.3081 | − | 14.3081i | −0.457290 | − | 0.457290i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.37361 | − | 0.0297616i | 0.0757835 | − | 0.000950214i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −31.9826 | − | 31.9826i | −1.02009 | − | 1.02009i | −0.999794 | − | 0.0202915i | \(-0.993541\pi\) |
−0.0202915 | − | 0.999794i | \(-0.506459\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.8915 | − | 13.9988i | −0.824973 | − | 0.446038i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −15.2999 | − | 36.2921i | −0.487001 | − | 1.15519i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.38434 | − | 3.38434i | 0.107616 | − | 0.107616i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 44.9665 | 1.42841 | 0.714204 | − | 0.699938i | \(-0.246789\pi\) | ||||
0.714204 | + | 0.699938i | \(0.246789\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 15.4714 | + | 6.29513i | 0.490970 | + | 0.199770i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.5062 | + | 34.2283i | −0.586687 | + | 1.08511i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 39.2793 | 1.24399 | 0.621993 | − | 0.783023i | \(-0.286323\pi\) | ||||
0.621993 | + | 0.783023i | \(0.286323\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −17.4447 | + | 44.4623i | −0.551925 | + | 1.40673i |
(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 | 960.2.bf.a.113.6 | 88 | ||
3.2 | odd | 2 | inner | 960.2.bf.a.113.5 | 88 | ||
4.3 | odd | 2 | 240.2.bf.a.53.2 | yes | 88 | ||
5.2 | odd | 4 | 960.2.bb.a.497.27 | 88 | |||
12.11 | even | 2 | 240.2.bf.a.53.43 | yes | 88 | ||
15.2 | even | 4 | 960.2.bb.a.497.18 | 88 | |||
16.3 | odd | 4 | 240.2.bb.a.173.21 | ✓ | 88 | ||
16.13 | even | 4 | 960.2.bb.a.593.18 | 88 | |||
20.7 | even | 4 | 240.2.bb.a.197.24 | yes | 88 | ||
48.29 | odd | 4 | 960.2.bb.a.593.27 | 88 | |||
48.35 | even | 4 | 240.2.bb.a.173.24 | yes | 88 | ||
60.47 | odd | 4 | 240.2.bb.a.197.21 | yes | 88 | ||
80.67 | even | 4 | 240.2.bf.a.77.43 | yes | 88 | ||
80.77 | odd | 4 | inner | 960.2.bf.a.17.6 | 88 | ||
240.77 | even | 4 | inner | 960.2.bf.a.17.5 | 88 | ||
240.227 | odd | 4 | 240.2.bf.a.77.2 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.bb.a.173.21 | ✓ | 88 | 16.3 | odd | 4 | ||
240.2.bb.a.173.24 | yes | 88 | 48.35 | even | 4 | ||
240.2.bb.a.197.21 | yes | 88 | 60.47 | odd | 4 | ||
240.2.bb.a.197.24 | yes | 88 | 20.7 | even | 4 | ||
240.2.bf.a.53.2 | yes | 88 | 4.3 | odd | 2 | ||
240.2.bf.a.53.43 | yes | 88 | 12.11 | even | 2 | ||
240.2.bf.a.77.2 | yes | 88 | 240.227 | odd | 4 | ||
240.2.bf.a.77.43 | yes | 88 | 80.67 | even | 4 | ||
960.2.bb.a.497.18 | 88 | 15.2 | even | 4 | |||
960.2.bb.a.497.27 | 88 | 5.2 | odd | 4 | |||
960.2.bb.a.593.18 | 88 | 16.13 | even | 4 | |||
960.2.bb.a.593.27 | 88 | 48.29 | odd | 4 | |||
960.2.bf.a.17.5 | 88 | 240.77 | even | 4 | inner | ||
960.2.bf.a.17.6 | 88 | 80.77 | odd | 4 | inner | ||
960.2.bf.a.113.5 | 88 | 3.2 | odd | 2 | inner | ||
960.2.bf.a.113.6 | 88 | 1.1 | even | 1 | trivial |