Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [780,2,Mod(49,780)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(780, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("780.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 780 = 2^{2} \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 780.bv (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.22833135766\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 589.4 | ||
Character | \(\chi\) | \(=\) | 780.589 |
Dual form | 780.2.bv.a.49.4 |
$q$-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 \(\left(\mathbb{Z}/780\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(301\) | \(391\) | \(521\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.27982 | − | 1.83359i | 0.572354 | − | 0.820007i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.828751 | − | 1.43544i | −0.313238 | − | 0.542545i | 0.665823 | − | 0.746110i | \(-0.268081\pi\) |
−0.979061 | + | 0.203565i | \(0.934747\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.23601 | + | 3.02301i | 1.57872 | + | 0.911472i | 0.995039 | + | 0.0994860i | \(0.0317199\pi\) |
0.583677 | + | 0.811986i | \(0.301613\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.06206 | + | 2.95768i | 0.571913 | + | 0.820314i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.02515 | + | 0.948025i | −0.522892 | + | 0.244779i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.993129 | − | 0.573383i | 0.240869 | − | 0.139066i | −0.374707 | − | 0.927143i | \(-0.622257\pi\) |
0.615576 | + | 0.788077i | \(0.288923\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.97958 | − | 1.14291i | 0.454146 | − | 0.262201i | −0.255433 | − | 0.966827i | \(-0.582218\pi\) |
0.709580 | + | 0.704625i | \(0.248885\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.65750i | 0.361697i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.70988 | − | 3.87395i | −1.39911 | − | 0.807775i | −0.404808 | − | 0.914402i | \(-0.632662\pi\) |
−0.994299 | + | 0.106627i | \(0.965995\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.72411 | − | 4.69334i | −0.344822 | − | 0.938668i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.60753 | − | 6.24842i | 0.669901 | − | 1.16030i | −0.308031 | − | 0.951376i | \(-0.599670\pi\) |
0.977931 | − | 0.208926i | \(-0.0669967\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.26033i | − | 0.765178i | −0.923919 | − | 0.382589i | \(-0.875033\pi\) | ||
0.923919 | − | 0.382589i | \(-0.124967\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.02301 | − | 5.23601i | −0.526239 | − | 0.911472i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.69266 | − | 0.317516i | −0.624174 | − | 0.0536700i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.58417 | − | 2.74387i | 0.260436 | − | 0.451089i | −0.705922 | − | 0.708290i | \(-0.749467\pi\) |
0.966358 | + | 0.257201i | \(0.0828003\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.306957 | − | 3.59246i | −0.0491524 | − | 0.575254i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.30618 | + | 5.37292i | 1.45338 | + | 0.839110i | 0.998671 | − | 0.0515301i | \(-0.0164098\pi\) |
0.454709 | + | 0.890640i | \(0.349743\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.13661 | − | 1.23357i | 0.325830 | − | 0.188118i | −0.328158 | − | 0.944623i | \(-0.606428\pi\) |
0.653988 | + | 0.756505i | \(0.273095\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.22785 | + | 0.191563i | 0.332108 | + | 0.0285565i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −10.5431 | −1.53787 | −0.768935 | − | 0.639326i | \(-0.779213\pi\) | ||||
−0.768935 | + | 0.639326i | \(0.779213\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.12634 | − | 3.68294i | 0.303763 | − | 0.526134i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.14677 | −0.160579 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.38252i | 0.601985i | 0.953627 | + | 0.300992i | \(0.0973179\pi\) | ||||
−0.953627 | + | 0.300992i | \(0.902682\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.2441 | − | 5.73178i | 1.65100 | − | 0.772873i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.28582 | −0.302764 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.77915 | + | 3.33660i | −0.752382 | + | 0.434388i | −0.826554 | − | 0.562858i | \(-0.809702\pi\) |
0.0741721 | + | 0.997245i | \(0.476369\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.365010 | + | 0.632216i | 0.0467347 | + | 0.0809469i | 0.888446 | − | 0.458980i | \(-0.151785\pi\) |
−0.841712 | + | 0.539927i | \(0.818452\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.828751 | − | 1.43544i | 0.104413 | − | 0.180848i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 8.06226 | + | 0.00433016i | 1.00000 | + | 0.000537090i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.80561 | − | 3.12741i | 0.220591 | − | 0.382075i | −0.734397 | − | 0.678720i | \(-0.762535\pi\) |
0.954988 | + | 0.296646i | \(0.0958681\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.87395 | + | 6.70988i | 0.466369 | + | 0.807775i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.6742 | + | 6.16273i | −1.26679 | + | 0.731382i | −0.974379 | − | 0.224911i | \(-0.927791\pi\) |
−0.292411 | + | 0.956293i | \(0.594458\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.4953 | 1.46247 | 0.731235 | − | 0.682126i | \(-0.238944\pi\) | ||||
0.731235 | + | 0.682126i | \(0.238944\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.853546 | + | 4.92661i | −0.0985590 | + | 0.568876i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 10.0213i | − | 1.14203i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.33438 | 0.150129 | 0.0750646 | − | 0.997179i | \(-0.476084\pi\) | ||||
0.0750646 | + | 0.997179i | \(0.476084\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.54486 | 0.718392 | 0.359196 | − | 0.933262i | \(-0.383051\pi\) | ||||
0.359196 | + | 0.933262i | \(0.383051\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.219678 | − | 2.55482i | 0.0238274 | − | 0.277109i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.24842 | + | 3.60753i | −0.669901 | + | 0.386767i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.19861 | − | 3.00142i | −0.551051 | − | 0.318150i | 0.198495 | − | 0.980102i | \(-0.436395\pi\) |
−0.749546 | + | 0.661952i | \(0.769728\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.53664 | − | 5.41115i | 0.265912 | − | 0.567242i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.13017 | + | 3.68956i | −0.220888 | + | 0.382589i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.437878 | − | 5.09246i | 0.0449254 | − | 0.522475i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.98648 | − | 5.17274i | −0.303231 | − | 0.525212i | 0.673635 | − | 0.739064i | \(-0.264732\pi\) |
−0.976866 | + | 0.213853i | \(0.931399\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.04602i | 0.607648i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.102016 | + | 0.176697i | −0.0101510 | + | 0.0175820i | −0.871056 | − | 0.491183i | \(-0.836565\pi\) |
0.860905 | + | 0.508765i | \(0.169898\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.25947i | 0.321165i | 0.987022 | + | 0.160582i | \(0.0513373\pi\) | ||||
−0.987022 | + | 0.160582i | \(0.948663\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.03918 | + | 2.12131i | 0.296594 | + | 0.207018i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.03801 | − | 1.75400i | −0.293695 | − | 0.169565i | 0.345912 | − | 0.938267i | \(-0.387570\pi\) |
−0.639607 | + | 0.768702i | \(0.720903\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 11.5163i | − | 1.10307i | −0.834153 | − | 0.551533i | \(-0.814043\pi\) | ||
0.834153 | − | 0.551533i | \(-0.185957\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.74387 | + | 1.58417i | −0.260436 | + | 0.150363i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.167049 | + | 0.0964457i | −0.0157146 | + | 0.00907284i | −0.507837 | − | 0.861453i | \(-0.669555\pi\) |
0.492122 | + | 0.870526i | \(0.336221\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.6907 | + | 7.34521i | −1.46317 | + | 0.684944i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.53040 | + | 3.26464i | −0.141485 | + | 0.301816i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.64611 | − | 0.950384i | −0.150899 | − | 0.0871215i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 12.7772 | + | 22.1307i | 1.16156 | + | 2.01189i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.37292 | − | 9.30618i | −0.484460 | − | 0.839110i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.8122 | − | 2.84533i | −0.967074 | − | 0.254494i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.6860 | + | 9.63368i | 1.48064 | + | 0.854851i | 0.999759 | − | 0.0219328i | \(-0.00698199\pi\) |
0.480885 | + | 0.876783i | \(0.340315\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.46715 | −0.217220 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.62693 | −0.316886 | −0.158443 | − | 0.987368i | \(-0.550647\pi\) | ||||
−0.158443 | + | 0.987368i | \(0.550647\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.28115 | − | 1.89437i | −0.284512 | − | 0.164263i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.83359 | − | 1.27982i | −0.157810 | − | 0.110150i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.49658 | + | 7.78830i | 0.384169 | + | 0.665400i | 0.991653 | − | 0.128932i | \(-0.0411548\pi\) |
−0.607485 | + | 0.794331i | \(0.707821\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.32861 | − | 9.22941i | −0.451966 | − | 0.782829i | 0.546542 | − | 0.837432i | \(-0.315944\pi\) |
−0.998508 | + | 0.0546031i | \(0.982611\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.13060 | + | 5.27156i | 0.768935 | + | 0.443945i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.85587 | + | 21.7201i | 0.155195 | + | 1.81633i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.84005 | − | 14.6116i | −0.568035 | − | 1.21343i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.68294 | + | 2.12634i | −0.303763 | + | 0.175378i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −18.7162 | + | 10.8058i | −1.53329 | + | 0.885245i | −0.534083 | + | 0.845432i | \(0.679343\pi\) |
−0.999207 | + | 0.0398134i | \(0.987324\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.2597i | 1.40458i | 0.711892 | + | 0.702289i | \(0.247838\pi\) | ||||
−0.711892 | + | 0.702289i | \(0.752162\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.993129 | + | 0.573383i | 0.0802897 | + | 0.0463553i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.81170 | − | 5.45247i | −0.627451 | − | 0.437953i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 21.4448i | 1.71148i | 0.517405 | + | 0.855741i | \(0.326898\pi\) | ||||
−0.517405 | + | 0.855741i | \(0.673102\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.19126 | − | 3.79537i | 0.173778 | − | 0.300992i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.8422i | 1.01210i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.09876 | + | 12.2954i | 0.556018 | + | 0.963051i | 0.997824 | + | 0.0659406i | \(0.0210048\pi\) |
−0.441806 | + | 0.897111i | \(0.645662\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −13.4696 | − | 1.15819i | −1.04861 | − | 0.0901653i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.18682 | + | 5.51973i | −0.246603 | + | 0.427129i | −0.962581 | − | 0.270994i | \(-0.912648\pi\) |
0.715978 | + | 0.698123i | \(0.245981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.49579 | + | 12.1979i | −0.345830 | + | 0.938297i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.97958 | + | 1.14291i | 0.151382 | + | 0.0874005i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −14.9809 | + | 8.64924i | −1.13898 | + | 0.657589i | −0.946177 | − | 0.323648i | \(-0.895090\pi\) |
−0.192801 | + | 0.981238i | \(0.561757\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.30814 | + | 6.36446i | −0.401258 | + | 0.481108i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.67319 | 0.501588 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.19861 | − | 9.00425i | 0.388562 | − | 0.673010i | −0.603694 | − | 0.797216i | \(-0.706305\pi\) |
0.992256 | + | 0.124206i | \(0.0396385\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0711 | −0.748582 | −0.374291 | − | 0.927311i | \(-0.622114\pi\) | ||||
−0.374291 | + | 0.927311i | \(0.622114\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 0.730020i | − | 0.0539646i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.00367 | − | 6.41638i | −0.220834 | − | 0.471742i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.93337 | 0.507018 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.43544 | + | 0.828751i | −0.104413 | + | 0.0602828i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.3999 | + | 18.0132i | 0.752513 | + | 1.30339i | 0.946601 | + | 0.322407i | \(0.104492\pi\) |
−0.194088 | + | 0.980984i | \(0.562175\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.7522 | − | 23.8195i | 0.989904 | − | 1.71456i | 0.372205 | − | 0.928151i | \(-0.378602\pi\) |
0.617700 | − | 0.786414i | \(-0.288065\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.97995 | − | 4.03488i | −0.499845 | − | 0.288944i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.7068 | − | 18.5448i | 0.762831 | − | 1.32126i | −0.178555 | − | 0.983930i | \(-0.557142\pi\) |
0.941386 | − | 0.337332i | \(-0.109525\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.6961 | − | 21.9903i | −0.900005 | − | 1.55885i | −0.827486 | − | 0.561487i | \(-0.810230\pi\) |
−0.0725188 | − | 0.997367i | \(-0.523104\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.12741 | + | 1.80561i | −0.220591 | + | 0.127358i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.9590 | −0.839355 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 21.7620 | − | 10.1873i | 1.51992 | − | 0.711514i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 7.74791i | − | 0.538517i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 13.8201 | 0.955957 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.926303 | + | 1.60440i | −0.0637693 | + | 0.110452i | −0.896147 | − | 0.443756i | \(-0.853646\pi\) |
0.832378 | + | 0.554208i | \(0.186979\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 12.3255 | 0.844527 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.472614 | − | 5.49643i | 0.0322320 | − | 0.374853i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.11544 | + | 3.53075i | −0.415143 | + | 0.239683i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.8213 | − | 6.24767i | −0.731235 | − | 0.422179i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.74378 | + | 1.75501i | 0.251834 | + | 0.118055i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.24904 | − | 9.09160i | 0.351502 | − | 0.608819i | −0.635011 | − | 0.772503i | \(-0.719005\pi\) |
0.986513 | + | 0.163684i | \(0.0523378\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.20250 | − | 3.83979i | 0.213500 | − | 0.255986i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.88536 | + | 8.46169i | 0.324252 | + | 0.561622i | 0.981361 | − | 0.192174i | \(-0.0615539\pi\) |
−0.657108 | + | 0.753796i | \(0.728221\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.9351i | 1.11910i | 0.828796 | + | 0.559550i | \(0.189026\pi\) | ||||
−0.828796 | + | 0.559550i | \(0.810974\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.01065 | + | 8.67869i | −0.329676 | + | 0.571016i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.7938i | 1.29674i | 0.761327 | + | 0.648368i | \(0.224548\pi\) | ||||
−0.761327 | + | 0.648368i | \(0.775452\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.4933 | + | 19.3318i | −0.880206 | + | 1.26106i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.15560 | − | 0.667188i | −0.0750646 | − | 0.0433385i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.00847i | 0.0652328i | 0.999468 | + | 0.0326164i | \(0.0103840\pi\) | ||||
−0.999468 | + | 0.0326164i | \(0.989616\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.67505 | − | 4.43119i | 0.494393 | − | 0.285438i | −0.232002 | − | 0.972715i | \(-0.574528\pi\) |
0.726395 | + | 0.687277i | \(0.241194\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.03166 | − | 8.61235i | −0.257573 | − | 0.550223i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.46238 | + | 3.49821i | 0.474820 | + | 0.222586i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.66801 | − | 3.27243i | −0.359196 | − | 0.207382i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.40347 | + | 2.43088i | 0.0885863 | + | 0.153436i | 0.906914 | − | 0.421316i | \(-0.138432\pi\) |
−0.818327 | + | 0.574752i | \(0.805098\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −23.4220 | − | 40.5681i | −1.47253 | − | 2.55049i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.46766 | + | 2.10270i | −0.0919082 | + | 0.131676i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.342236 | − | 0.197590i | −0.0213481 | − | 0.0123253i | 0.489288 | − | 0.872122i | \(-0.337257\pi\) |
−0.510636 | + | 0.859797i | \(0.670590\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.25154 | −0.326315 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.21505 | 0.446601 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 21.2529 | + | 12.2704i | 1.31051 | + | 0.756623i | 0.982181 | − | 0.187940i | \(-0.0601810\pi\) |
0.328330 | + | 0.944563i | \(0.393514\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.03574 | + | 5.60884i | 0.493632 | + | 0.344548i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.00142 | + | 5.19861i | 0.183684 | + | 0.318150i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.07730 | + | 10.5262i | 0.370540 | + | 0.641793i | 0.989649 | − | 0.143512i | \(-0.0458395\pi\) |
−0.619109 | + | 0.785305i | \(0.712506\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.19227 | − | 1.84306i | −0.193917 | − | 0.111958i | 0.399898 | − | 0.916560i | \(-0.369046\pi\) |
−0.593815 | + | 0.804602i | \(0.702379\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.90237 | + | 3.41787i | −0.296705 | + | 0.206859i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.16056 | − | 29.7864i | 0.311193 | − | 1.79619i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.697843 | − | 0.402900i | 0.0419293 | − | 0.0242079i | −0.478889 | − | 0.877876i | \(-0.658960\pi\) |
0.520818 | + | 0.853668i | \(0.325627\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.68956 | − | 2.13017i | 0.220888 | − | 0.127530i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.360243i | 0.0214903i | 0.999942 | + | 0.0107452i | \(0.00342036\pi\) | ||||
−0.999942 | + | 0.0107452i | \(0.996580\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.6039 | − | 10.1636i | −1.04644 | − | 0.604163i | −0.124790 | − | 0.992183i | \(-0.539826\pi\) |
−0.921651 | + | 0.388021i | \(0.873159\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.92544 | + | 4.19126i | −0.173288 | + | 0.248269i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 17.8113i | − | 1.05137i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.84246 | + | 13.5835i | −0.461321 | + | 0.799032i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.97296i | 0.350141i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 8.48753 | + | 14.7008i | 0.495847 | + | 0.858832i | 0.999989 | − | 0.00478898i | \(-0.00152438\pi\) |
−0.504142 | + | 0.863621i | \(0.668191\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.27834 | + | 14.8669i | −0.0744276 | + | 0.865582i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.02301 | − | 5.23601i | 0.175413 | − | 0.303824i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.37827 | − | 27.8340i | −0.137539 | − | 1.60968i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.54144 | − | 2.04465i | −0.204125 | − | 0.117852i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.176697 | − | 0.102016i | 0.0101510 | − | 0.00586067i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.62637 | + | 0.139845i | 0.0931258 | + | 0.00800749i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.1770 | −0.980346 | −0.490173 | − | 0.871625i | \(-0.663066\pi\) | ||||
−0.490173 | + | 0.871625i | \(0.663066\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.62973 | − | 2.82278i | 0.0927123 | − | 0.160582i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.4174 | −1.04435 | −0.522176 | − | 0.852837i | \(-0.674880\pi\) | ||||
−0.522176 | + | 0.852837i | \(0.674880\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.10571i | 0.458162i | 0.973407 | + | 0.229081i | \(0.0735721\pi\) | ||||
−0.973407 | + | 0.229081i | \(0.926428\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.57135 | − | 3.35670i | −0.0885357 | − | 0.189128i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.06294 | 0.228197 | 0.114099 | − | 0.993469i | \(-0.463602\pi\) | ||||
0.114099 | + | 0.993469i | \(0.463602\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 37.7781 | − | 21.8112i | 2.11517 | − | 1.22119i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.75400 | + | 3.03801i | 0.0978985 | + | 0.169565i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.31065 | − | 2.27011i | 0.0729265 | − | 0.126312i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.3262 | − | 14.7773i | 0.572794 | − | 0.819699i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.75817 | + | 9.97344i | −0.318428 | + | 0.551533i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 8.73761 | + | 15.1340i | 0.481720 | + | 0.834364i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.3971 | − | 10.0442i | 0.956233 | − | 0.552081i | 0.0612213 | − | 0.998124i | \(-0.480500\pi\) |
0.895012 | + | 0.446043i | \(0.147167\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.16834 | 0.173624 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.42353 | − | 7.31329i | −0.187048 | − | 0.399568i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 3.81854i | − | 0.208009i | −0.994577 | − | 0.104005i | \(-0.966834\pi\) | ||
0.994577 | − | 0.104005i | \(-0.0331657\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.192891 | 0.0104764 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.8790 | − | 22.3071i | 0.697438 | − | 1.20800i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.6513 | −1.00708 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 17.2612 | + | 1.48421i | 0.929309 | + | 0.0799073i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −28.1142 | + | 16.2317i | −1.50925 | + | 0.871365i | −0.509307 | + | 0.860585i | \(0.670098\pi\) |
−0.999942 | + | 0.0107803i | \(0.996568\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.6256 | − | 7.28941i | −0.675834 | − | 0.390193i | 0.122449 | − | 0.992475i | \(-0.460925\pi\) |
−0.798284 | + | 0.602282i | \(0.794258\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.95768 | − | 2.06206i | 0.157870 | − | 0.110065i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −10.3335 | + | 17.8982i | −0.549999 | + | 0.952626i | 0.448275 | + | 0.893896i | \(0.352038\pi\) |
−0.998274 | + | 0.0587300i | \(0.981295\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.36110 | + | 27.4593i | −0.125314 | + | 1.45739i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.950384 | + | 1.64611i | 0.0502996 | + | 0.0871215i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 5.82021i | − | 0.307179i | −0.988135 | − | 0.153589i | \(-0.950917\pi\) | ||
0.988135 | − | 0.153589i | \(-0.0490833\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.88751 | + | 11.9295i | −0.362501 | + | 0.627870i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 25.5544i | − | 1.34126i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 15.9918 | − | 22.9114i | 0.837050 | − | 1.19924i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.3165 | + | 7.11095i | 0.642918 | + | 0.371189i | 0.785738 | − | 0.618560i | \(-0.212284\pi\) |
−0.142820 | + | 0.989749i | \(0.545617\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.7458i | 0.559407i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.29083 | − | 3.63201i | 0.326604 | − | 0.188565i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −28.2085 | + | 16.2862i | −1.46058 | + | 0.843266i | −0.999038 | − | 0.0438524i | \(-0.986037\pi\) |
−0.461542 | + | 0.887119i | \(0.652704\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.94099 | + | 7.87024i | 0.410071 | + | 0.406417i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 25.9198 | − | 2.21471i | 1.33494 | − | 0.114063i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.5125 | + | 14.7296i | 1.31049 | + | 0.756611i | 0.982177 | − | 0.187959i | \(-0.0601872\pi\) |
0.328311 | + | 0.944570i | \(0.393520\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.63368 | − | 16.6860i | −0.493548 | − | 0.854851i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −15.7867 | − | 27.3433i | −0.806660 | − | 1.39718i | −0.915164 | − | 0.403081i | \(-0.867939\pi\) |
0.108504 | − | 0.994096i | \(-0.465394\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.3749 | − | 12.8255i | −0.936474 | − | 0.653646i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.13661 | + | 1.23357i | 0.108610 | + | 0.0627061i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 22.6754 | 1.14969 | 0.574843 | − | 0.818263i | \(-0.305063\pi\) | ||||
0.574843 | + | 0.818263i | \(0.305063\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.88504 | −0.449336 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.14101 | + | 1.81346i | 0.158443 | + | 0.0914772i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.70777 | − | 2.44670i | 0.0859270 | − | 0.123107i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.11707 | − | 10.5951i | −0.307007 | − | 0.531752i | 0.670699 | − | 0.741730i | \(-0.265994\pi\) |
−0.977706 | + | 0.209978i | \(0.932661\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.89437 | + | 3.28115i | 0.0948374 | + | 0.164263i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −15.1495 | − | 8.74659i | −0.756532 | − | 0.436784i | 0.0715175 | − | 0.997439i | \(-0.477216\pi\) |
−0.828049 | + | 0.560656i | \(0.810549\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.6007 | − | 8.78507i | 0.627686 | − | 0.437616i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.948025 | + | 2.02515i | 0.0471078 | + | 0.100631i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 16.5895 | − | 9.57794i | 0.822310 | − | 0.474761i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −31.6025 | + | 18.2457i | −1.56264 | + | 0.902192i | −0.565654 | + | 0.824643i | \(0.691376\pi\) |
−0.996989 | + | 0.0775493i | \(0.975290\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 8.99316i | − | 0.443600i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 9.57896 | + | 5.53041i | 0.471350 | + | 0.272134i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.37626 | − | 12.0006i | 0.411174 | − | 0.589086i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 10.6572i | 0.521886i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −0.105105 | + | 0.182048i | −0.00513472 | + | 0.00889360i | −0.868581 | − | 0.495547i | \(-0.834968\pi\) |
0.863447 | + | 0.504440i | \(0.168301\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 8.61066i | − | 0.419658i | −0.977738 | − | 0.209829i | \(-0.932709\pi\) | ||
0.977738 | − | 0.209829i | \(-0.0672907\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.27156 | − | 9.13060i | −0.256312 | − | 0.443945i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.40335 | − | 3.67251i | −0.213594 | − | 0.178143i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.605005 | − | 1.04790i | 0.0292782 | − | 0.0507114i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.25282 | − | 19.7381i | 0.446730 | − | 0.952964i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 15.3283 | + | 8.84980i | 0.738338 | + | 0.426280i | 0.821465 | − | 0.570259i | \(-0.193157\pi\) |
−0.0831267 | + | 0.996539i | \(0.526491\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.06065 | − | 4.65382i | 0.387370 | − | 0.223648i | −0.293650 | − | 0.955913i | \(-0.594870\pi\) |
0.681020 | + | 0.732265i | \(0.261537\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.38214 | + | 16.0740i | −0.0662684 | + | 0.770691i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −17.7103 | −0.847199 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.22475 | − | 10.7816i | 0.297091 | − | 0.514577i | −0.678378 | − | 0.734713i | \(-0.737317\pi\) |
0.975469 | + | 0.220136i | \(0.0706502\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.25269 | 0.202509 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.86088i | 0.183436i | 0.995785 | + | 0.0917180i | \(0.0292358\pi\) | ||||
−0.995785 | + | 0.0917180i | \(0.970764\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.1567 | + | 5.69084i | −0.576281 | + | 0.269772i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.6116 | 1.02219 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.65851 | + | 5.57634i | −0.455813 | + | 0.263164i | −0.710282 | − | 0.703917i | \(-0.751433\pi\) |
0.254469 | + | 0.967081i | \(0.418099\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 32.4848 | + | 56.2654i | 1.52965 | + | 2.64943i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.62987 | − | 14.9474i | 0.405467 | − | 0.702289i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.67539 | − | 11.5765i | −0.312947 | − | 0.542713i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.647022 | + | 1.12068i | −0.0302664 | + | 0.0524230i | −0.880762 | − | 0.473559i | \(-0.842969\pi\) |
0.850495 | + | 0.525982i | \(0.176302\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.573383 | − | 0.993129i | −0.0267632 | − | 0.0463553i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.9344 | − | 8.04505i | 0.648991 | − | 0.374695i | −0.139078 | − | 0.990281i | \(-0.544414\pi\) |
0.788070 | + | 0.615586i | \(0.211081\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.9707 | 0.881645 | 0.440823 | − | 0.897594i | \(-0.354687\pi\) | ||||
0.440823 | + | 0.897594i | \(0.354687\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.03890 | + | 8.62783i | 0.187300 | + | 0.400106i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 33.7236i | − | 1.56054i | −0.625441 | − | 0.780272i | \(-0.715081\pi\) | ||
0.625441 | − | 0.780272i | \(-0.284919\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.98562 | −0.276390 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.7224 | − | 18.5717i | 0.494062 | − | 0.855741i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 14.9164 | 0.685858 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.77708 | − | 7.32033i | −0.402720 | − | 0.335880i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.79537 | + | 2.19126i | −0.173778 | + | 0.100331i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 2.68929 | + | 1.55266i | 0.122877 | + | 0.0709429i | 0.560179 | − | 0.828372i | \(-0.310733\pi\) |
−0.437302 | + | 0.899315i | \(0.644066\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.3822 | − | 0.972544i | 0.518982 | − | 0.0443442i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.42108 | − | 11.1216i | 0.292169 | − | 0.506052i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −13.3068 | − | 1.14420i | −0.604233 | − | 0.0519554i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.58427 | − | 2.74404i | −0.0717902 | − | 0.124344i | 0.827896 | − | 0.560882i | \(-0.189538\pi\) |
−0.899686 | + | 0.436538i | \(0.856205\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 14.1975i | − | 0.642034i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.0168 | + | 22.5458i | −0.587440 | + | 1.01748i | 0.407126 | + | 0.913372i | \(0.366531\pi\) |
−0.994566 | + | 0.104105i | \(0.966802\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 8.27398i | − | 0.372641i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 11.0859 | + | 7.73783i | 0.498275 | + | 0.347790i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 17.6924 | + | 10.2147i | 0.793615 | + | 0.458194i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 19.4095i | − | 0.868888i | −0.900699 | − | 0.434444i | \(-0.856945\pi\) | ||
0.900699 | − | 0.434444i | \(-0.143055\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.51973 | − | 3.18682i | 0.246603 | − | 0.142376i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −33.0342 | + | 19.0723i | −1.47292 | + | 0.850391i | −0.999536 | − | 0.0304646i | \(-0.990301\pi\) |
−0.473385 | + | 0.880856i | \(0.656968\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.193428 | + | 0.413196i | 0.00860741 | + | 0.0183870i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.99240 | − | 8.31576i | 0.443778 | − | 0.369316i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −35.6333 | − | 20.5729i | −1.57942 | − | 0.911878i | −0.994940 | − | 0.100470i | \(-0.967966\pi\) |
−0.584479 | − | 0.811409i | \(-0.698701\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.3555 | − | 17.9363i | −0.458102 | − | 0.793455i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.14291 | − | 1.97958i | −0.0504607 | − | 0.0874005i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.97653 | + | 4.17154i | 0.263357 | + | 0.183820i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −55.2038 | − | 31.8719i | −2.42786 | − | 1.40173i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 17.2985 | 0.759319 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 30.4270 | 1.33303 | 0.666516 | − | 0.745490i | \(-0.267785\pi\) | ||||
0.666516 | + | 0.745490i | \(0.267785\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.4487 | + | 6.60990i | 0.500616 | + | 0.289031i | 0.728968 | − | 0.684548i | \(-0.240000\pi\) |
−0.228352 | + | 0.973579i | \(0.573334\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.77922 | − | 2.85772i | 0.339513 | − | 0.124721i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.44280 | − | 4.23106i | −0.106410 | − | 0.184308i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 18.5150 | + | 32.0690i | 0.805001 | + | 1.39430i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5.77915 | − | 3.33660i | −0.250794 | − | 0.144796i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.29851 | + | 38.6040i | 0.142874 | + | 1.67213i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.10422 | + | 3.32566i | −0.307142 | + | 0.143781i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.00425 | + | 5.19861i | −0.388562 | + | 0.224337i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 22.2671 | − | 12.8559i | 0.959112 | − | 0.553744i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 13.9179i | − | 0.598378i | −0.954194 | − | 0.299189i | \(-0.903284\pi\) | ||
0.954194 | − | 0.299189i | \(-0.0967161\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.72186 | + | 5.03557i | 0.374291 | + | 0.216097i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −21.1163 | − | 14.7389i | −0.904521 | − | 0.631344i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.7737i | 0.888219i | 0.895973 | + | 0.444109i | \(0.146480\pi\) | ||||
−0.895973 | + | 0.444109i | \(0.853520\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.365010 | + | 0.632216i | −0.0155782 | + | 0.0269823i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 16.4923i | − | 0.702596i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.10587 | − | 1.91542i | −0.0470262 | − | 0.0814518i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.606938 | + | 7.05859i | −0.0257631 | + | 0.299620i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 7.90255 | − | 13.6876i | 0.334842 | − | 0.579963i | −0.648613 | − | 0.761119i | \(-0.724650\pi\) |
0.983454 | + | 0.181156i | \(0.0579838\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.05435 | + | 3.77572i | 0.340663 | + | 0.159696i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.00448 | − | 3.46669i | −0.253509 | − | 0.146364i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 34.8721 | − | 20.1334i | 1.46968 | − | 0.848521i | 0.470261 | − | 0.882528i | \(-0.344160\pi\) |
0.999422 | + | 0.0340062i | \(0.0108266\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.0369508 | + | 0.429732i | −0.00155453 | + | 0.0180790i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.65750 | 0.0696085 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.65461 | + | 13.2582i | −0.320898 | + | 0.555812i | −0.980674 | − | 0.195651i | \(-0.937318\pi\) |
0.659775 | + | 0.751463i | \(0.270651\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.13351 | −0.131133 | −0.0655666 | − | 0.997848i | \(-0.520885\pi\) | ||||
−0.0655666 | + | 0.997848i | \(0.520885\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 20.7999i | − | 0.868927i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.61320 | + | 38.1709i | −0.275789 | + | 1.59184i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −29.1801 | −1.21478 | −0.607391 | − | 0.794403i | \(-0.707784\pi\) | ||||
−0.607391 | + | 0.794403i | \(0.707784\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −23.8195 | + | 13.7522i | −0.989904 | + | 0.571522i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.42406 | − | 9.39474i | −0.225028 | − | 0.389760i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.2484 | + | 22.9469i | −0.548692 | + | 0.950363i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.02738 | + | 6.98428i | 0.166512 | + | 0.288765i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.27078 | + | 3.93311i | −0.0937252 | + | 0.162337i | −0.909076 | − | 0.416631i | \(-0.863211\pi\) |
0.815351 | + | 0.578967i | \(0.196544\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.86917 | − | 8.43366i | −0.200631 | − | 0.347503i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −18.5448 | + | 10.7068i | −0.762831 | + | 0.440421i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.21321 | −0.131951 | −0.0659754 | − | 0.997821i | \(-0.521016\pi\) | ||||
−0.0659754 | + | 0.997821i | \(0.521016\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.84935 | + | 1.80198i | −0.157808 | + | 0.0738738i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 25.3923i | 1.03924i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.32402 | 0.176675 | 0.0883373 | − | 0.996091i | \(-0.471845\pi\) | ||||
0.0883373 | + | 0.996091i | \(0.471845\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.14660 | − | 1.98597i | 0.0467709 | − | 0.0810096i | −0.841692 | − | 0.539958i | \(-0.818440\pi\) |
0.888463 | + | 0.458948i | \(0.151774\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.61123 | 0.147061 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 56.9312 | + | 4.89527i | 2.31458 | + | 0.199021i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.80097 | + | 2.77184i | −0.194865 | + | 0.112506i | −0.594258 | − | 0.804274i | \(-0.702554\pi\) |
0.399393 | + | 0.916780i | \(0.369221\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 10.3568 | + | 5.97948i | 0.419677 | + | 0.242301i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −21.7406 | − | 31.1832i | −0.879529 | − | 1.26154i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.66946 | − | 6.35569i | 0.148208 | − | 0.256704i | −0.782357 | − | 0.622830i | \(-0.785983\pi\) |
0.930565 | + | 0.366126i | \(0.119316\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −23.9401 | − | 2.05851i | −0.965358 | − | 0.0830070i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.9539 | − | 29.3650i | −0.682537 | − | 1.18219i | −0.974204 | − | 0.225669i | \(-0.927543\pi\) |
0.291667 | − | 0.956520i | \(-0.405790\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 44.9279i | 1.80580i | 0.429847 | + | 0.902902i | \(0.358568\pi\) | ||||
−0.429847 | + | 0.902902i | \(0.641432\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.87395 | + | 6.70988i | −0.155456 | + | 0.269258i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 9.94971i | 0.398627i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0549 | + | 16.1837i | −0.762195 | + | 0.647347i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −11.9686 | − | 6.91006i | −0.477979 | − | 0.275961i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 3.63335i | − | 0.144871i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.6730 | + | 20.0185i | −1.38031 | + | 0.796923i | −0.992196 | − | 0.124688i | \(-0.960207\pi\) |
−0.388115 | + | 0.921611i | \(0.626874\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.60440 | − | 0.926303i | 0.0637693 | − | 0.0368172i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 39.0194 | − | 18.2659i | 1.54844 | − | 0.724862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.2776 | − | 1.30539i | 0.605321 | − | 0.0517215i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.6742 | − | 6.16273i | −0.422263 | − | 0.243794i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.7186 | − | 23.7614i | −0.541854 | − | 0.938519i | −0.998798 | − | 0.0490230i | \(-0.984389\pi\) |
0.456944 | − | 0.889496i | \(-0.348944\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.73564 | − | 11.6665i | −0.265628 | − | 0.460081i | 0.702100 | − | 0.712078i | \(-0.252246\pi\) |
−0.967728 | + | 0.251998i | \(0.918913\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.15751 | + | 4.52374i | −0.124327 | + | 0.178122i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.3793 | + | 16.9621i | 1.15502 | + | 0.666851i | 0.950105 | − | 0.311929i | \(-0.100975\pi\) |
0.204914 | + | 0.978780i | \(0.434309\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −40.3463 | −1.58373 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.06151 | 0.276762 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.73259 | + | 1.57766i | 0.106934 | + | 0.0617386i | 0.552513 | − | 0.833504i | \(-0.313669\pi\) |
−0.445579 | + | 0.895243i | \(0.647002\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.64182 | + | 6.65030i | −0.181371 | + | 0.259849i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.24767 | + | 10.8213i | 0.243745 | + | 0.422179i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.37780 | + | 9.31463i | 0.209489 | + | 0.362846i | 0.951554 | − | 0.307482i | \(-0.0994865\pi\) |
−0.742064 | + | 0.670329i | \(0.766153\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −33.5544 | − | 19.3727i | −1.30512 | − | 0.753509i | −0.323839 | − | 0.946112i | \(-0.604974\pi\) |
−0.981277 | + | 0.192603i | \(0.938307\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.36470 | − | 3.39177i | −0.0918375 | − | 0.131726i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −7.67280 | + | 3.59183i | −0.297538 | + | 0.139285i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.4122 | + | 27.9508i | −1.87453 | + | 1.08226i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.09160 | + | 5.24904i | −0.351502 | + | 0.202940i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.41372i | 0.170390i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.1608 | + | 9.90782i | 0.661502 | + | 0.381918i | 0.792849 | − | 0.609418i | \(-0.208597\pi\) |
−0.131347 | + | 0.991336i | \(0.541930\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.69334 | + | 1.72411i | −0.180647 | + | 0.0663611i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 19.5883i | 0.752841i | 0.926449 | + | 0.376421i | \(0.122845\pi\) | ||||
−0.926449 | + | 0.376421i | \(0.877155\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.95010 | + | 8.57382i | −0.189967 | + | 0.329033i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 9.77071i | − | 0.374415i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 13.0282 | + | 22.5656i | 0.498511 | + | 0.863447i | 0.999999 | − | 0.00171806i | \(-0.000546877\pi\) |
−0.501487 | + | 0.865165i | \(0.667214\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 20.0354 | + | 1.72276i | 0.765513 | + | 0.0658231i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.46753 | − | 14.6662i | 0.323057 | − | 0.559550i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.9621 | + | 9.03702i | −0.493817 | + | 0.344283i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.99020 | − | 4.03579i | −0.265920 | − | 0.153529i | 0.361112 | − | 0.932522i | \(-0.382397\pi\) |
−0.627032 | + | 0.778994i | \(0.715730\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.67869 | − | 5.01065i | 0.329676 | − | 0.190339i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −23.7426 | − | 2.04153i | −0.900610 | − | 0.0774395i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.3230 | 0.466766 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 9.89691 | − | 17.1419i | 0.374335 | − | 0.648368i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −15.9799 | −0.603551 | −0.301775 | − | 0.953379i | \(-0.597579\pi\) | ||||
−0.301775 | + | 0.953379i | \(0.597579\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 7.24226i | − | 0.273147i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 21.3514 | − | 9.99514i | 0.804141 | − | 0.376439i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.338183 | 0.0127187 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.5086 | − | 12.4180i | 0.807772 | − | 0.466367i | −0.0384099 | − | 0.999262i | \(-0.512229\pi\) |
0.846181 | + | 0.532895i | \(0.178896\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.667188 | + | 1.15560i | 0.0250215 | + | 0.0433385i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −16.5043 | + | 28.5863i | −0.618092 | + | 1.07057i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 42.2010 | + | 24.3950i | 1.57823 | + | 0.912320i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.504237 | − | 0.873364i | 0.0188311 | − | 0.0326164i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 10.8491 | + | 18.7912i | 0.404603 | + | 0.700794i | 0.994275 | − | 0.106849i | \(-0.0340763\pi\) |
−0.589672 | + | 0.807643i | \(0.700743\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.67877 | − | 2.70129i | 0.174246 | − | 0.100601i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.86238 | −0.329596 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −35.5457 | − | 6.15838i | −1.32014 | − | 0.228717i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 34.2453i | − | 1.27009i | −0.772476 | − | 0.635044i | \(-0.780982\pi\) | ||
0.772476 | − | 0.635044i | \(-0.219018\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.41462 | − | 2.45019i | 0.0523216 | − | 0.0906237i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.9049 | −0.624397 | −0.312199 | − | 0.950017i | \(-0.601065\pi\) | ||||
−0.312199 | + | 0.950017i | \(0.601065\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.814658 | + | 9.47434i | −0.0300491 | + | 0.349466i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.9084 | − | 10.9168i | 0.696501 | − | 0.402125i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.0843 | + | 9.86363i | 0.628456 | + | 0.362839i | 0.780154 | − | 0.625588i | \(-0.215141\pi\) |
−0.151698 | + | 0.988427i | \(0.548474\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.71350 | − | 6.76073i | −0.173155 | − | 0.248362i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −12.7040 | + | 22.0040i | −0.466064 | + | 0.807247i | −0.999249 | − | 0.0387519i | \(-0.987662\pi\) |
0.533185 | + | 0.845999i | \(0.320995\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.13998 | + | 48.1473i | −0.151677 | + | 1.76398i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.27243 | + | 5.66801i | 0.119732 | + | 0.207382i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.81450i | 0.212457i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.0169 | − | 38.1343i | 0.803407 | − | 1.39154i | −0.113954 | − | 0.993486i | \(-0.536352\pi\) |
0.917361 | − | 0.398056i | \(-0.130315\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 2.80694i | − | 0.102291i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 31.6473 | + | 22.0894i | 1.15176 | + | 0.803915i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.6946 | + | 10.2160i | 0.643121 | + | 0.371306i | 0.785816 | − | 0.618461i | \(-0.212243\pi\) |
−0.142695 | + | 0.989767i | \(0.545577\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 46.8440i | 1.70033i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.4379 | + | 6.60370i | −0.414625 | + | 0.239384i | −0.692775 | − | 0.721154i | \(-0.743612\pi\) |
0.278150 | + | 0.960538i | \(0.410279\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.5310 | + | 9.54418i | −0.598462 | + | 0.345522i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.32238 | − | 1.08716i | 0.0839658 | − | 0.0393065i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −21.7856 | − | 10.2126i | −0.786632 | − | 0.368757i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.23441 | − | 4.75414i | −0.296940 | − | 0.171439i | 0.344127 | − | 0.938923i | \(-0.388175\pi\) |
−0.641068 | + | 0.767484i | \(0.721508\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.197590 | + | 0.342236i | 0.00711604 | + | 0.0123253i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3.11490 | − | 5.39516i | −0.112035 | − | 0.194050i | 0.804556 | − | 0.593877i | \(-0.202404\pi\) |
−0.916591 | + | 0.399827i | \(0.869070\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.9952 | + | 7.34528i | −0.718248 | + | 0.263850i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.54796 | + | 2.62577i | 0.163157 | + | 0.0941989i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 24.5631 | 0.880063 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −74.5200 | −2.66654 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.24842 | − | 3.60753i | −0.223300 | − | 0.128922i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.3210 | + | 27.4455i | 1.40343 | + | 0.979573i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 22.7635 | + | 39.4276i | 0.811433 | + | 1.40544i | 0.911861 | + | 0.410499i | \(0.134645\pi\) |
−0.100428 | + | 0.994944i | \(0.532021\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.2704 | − | 21.2529i | −0.436837 | − | 0.756623i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.276884 | + | 0.159859i | 0.00984485 | + | 0.00568393i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.11722 | + | 2.38325i | −0.0396737 | + | 0.0846318i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −4.15474 | − | 8.87527i | −0.147353 | − | 0.314773i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −20.0123 | + | 11.5541i | −0.708871 | + | 0.409267i | −0.810643 | − | 0.585541i | \(-0.800882\pi\) |
0.101772 | + | 0.994808i | \(0.467549\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.4707 | + | 6.04524i | −0.370426 | + | 0.213865i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 6.00284i | − | 0.212100i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 65.4257 | + | 37.7736i | 2.30882 | + | 1.33300i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 23.5473 | + | 16.4357i | 0.829933 | + | 0.579282i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 12.1546i | − | 0.427862i | ||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.03014 | + | 6.98041i | −0.141692 | + | 0.245418i | −0.928134 | − | 0.372246i | \(-0.878588\pi\) |
0.786442 | + | 0.617664i | \(0.211921\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 48.6471i | − | 1.70823i | −0.520084 | − | 0.854115i | \(-0.674099\pi\) | ||
0.520084 | − | 0.854115i | \(-0.325901\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.84306 | + | 3.19227i | 0.0646389 | + | 0.111958i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 31.6299 | + | 2.71972i | 1.10795 | + | 0.0952677i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.81973 | − | 4.88391i | 0.0986497 | − | 0.170866i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.95451 | − | 0.508781i | 0.208067 | − | 0.0177783i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −41.7461 | − | 24.1021i | −1.45695 | − | 0.841169i | −0.458088 | − | 0.888907i | \(-0.651465\pi\) |
−0.998860 | + | 0.0477380i | \(0.984799\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 42.0960 | − | 24.3042i | 1.46738 | − | 0.847190i | 0.468043 | − | 0.883706i | \(-0.344959\pi\) |
0.999333 | + | 0.0365160i | \(0.0116260\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −19.3624 | + | 23.2155i | −0.674111 | + | 0.808259i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.1081 | −0.699229 | −0.349614 | − | 0.936894i | \(-0.613687\pi\) | ||||
−0.349614 | + | 0.936894i | \(0.613687\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.5726 | + | 18.3123i | −0.367203 | + | 0.636014i | −0.989127 | − | 0.147063i | \(-0.953018\pi\) |
0.621924 | + | 0.783077i | \(0.286351\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.805800 | −0.0279529 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 4.87684i | − | 0.168972i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.04236 | + | 12.9076i | 0.209105 | + | 0.446685i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.26033 | −0.147259 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.3127 | + | 7.10874i | −0.425082 | + | 0.245421i | −0.697249 | − | 0.716829i | \(-0.745593\pi\) |
0.272167 | + | 0.962250i | \(0.412260\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.5285 | − | 19.9679i | −0.397534 | − | 0.688549i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.180122 | − | 0.311980i | 0.00620372 | − | 0.0107452i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 16.6121 | + | 23.8545i | 0.571473 | + | 0.820621i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 21.1782 | − | 36.6817i | 0.727692 | − | 1.26040i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 10.1636 | + | 17.6039i | 0.348813 | + | 0.604163i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −21.2592 | + | 12.2740i | −0.728757 | + | 0.420748i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.1008 | −0.893676 | −0.446838 | − | 0.894615i | \(-0.647450\pi\) | ||||
−0.446838 | + | 0.894615i | \(0.647450\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.62914 | − | 2.16701i | 0.158313 | − | 0.0741103i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.1782i | 0.928390i | 0.885733 | + | 0.464195i | \(0.153656\pi\) | ||||
−0.885733 | + | 0.464195i | \(0.846344\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 33.8502 | 1.15495 | 0.577477 | − | 0.816407i | \(-0.304037\pi\) | ||||
0.577477 | + | 0.816407i | \(0.304037\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.90563 | + | 15.4250i | −0.303503 | + | 0.525683i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −49.9350 | −1.69981 | −0.849904 | − | 0.526938i | \(-0.823340\pi\) | ||||
−0.849904 | + | 0.526938i | \(0.823340\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.31375 | + | 38.5384i | −0.112671 | + | 1.31034i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.5835 | − | 7.84246i | 0.461321 | − | 0.266344i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.98681 | + | 4.03384i | 0.237011 | + | 0.136839i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.9732 | − | 1.10849i | 0.439580 | − | 0.0375598i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.98648 | − | 5.17274i | 0.101077 | − | 0.175071i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.87635 | + | 17.8783i | 0.164851 | + | 0.604398i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.88339 | − | 11.9224i | −0.232436 | − | 0.402590i | 0.726089 | − | 0.687601i | \(-0.241336\pi\) |
−0.958524 | + | 0.285011i | \(0.908003\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 16.9751i | − | 0.572555i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.98061 | + | 12.0908i | −0.235183 | + | 0.407348i | −0.959326 | − | 0.282302i | \(-0.908902\pi\) |
0.724143 | + | 0.689650i | \(0.242235\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 5.95089i | − | 0.200263i | −0.994974 | − | 0.100132i | \(-0.968074\pi\) | ||
0.994974 | − | 0.100132i | \(-0.0319264\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 8.54050 | − | 12.2359i | 0.287086 | − | 0.411305i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −17.0832 | − | 9.86299i | −0.573598 | − | 0.331167i | 0.184987 | − | 0.982741i | \(-0.440776\pi\) |
−0.758585 | + | 0.651574i | \(0.774109\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 31.9357i | − | 1.07109i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.23601 | + | 3.02301i | −0.175413 | + | 0.101275i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −20.8709 | + | 12.0498i | −0.698418 | + | 0.403232i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.85682 | − | 21.0560i | −0.329477 | − | 0.703823i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −11.8574 | + | 25.2941i | −0.395906 | + | 0.844546i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −26.6203 | − | 15.3693i | −0.887838 | − | 0.512593i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.51286 | + | 4.35240i | 0.0837155 | + | 0.145000i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.04465 | + | 3.54144i | 0.0680417 | + | 0.117852i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −12.8893 | + | 18.4664i | −0.428454 | + | 0.613842i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 13.9862 | + | 8.07493i | 0.464404 | + | 0.268124i | 0.713894 | − | 0.700254i | \(-0.246930\pi\) |
−0.249490 | + | 0.968377i | \(0.580263\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.204032 | −0.00676732 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 35.1748 | 1.16539 | 0.582696 | − | 0.812690i | \(-0.301998\pi\) | ||||
0.582696 | + | 0.812690i | \(0.301998\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.2689 | + | 19.7852i | 1.13414 | + | 0.654794i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.33856 | − | 0.934296i | −0.0442514 | − | 0.0308869i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.00582 | + | 5.20623i | 0.0992610 | + | 0.171925i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.24395 | + | 12.5469i | 0.238956 | + | 0.413884i | 0.960415 | − | 0.278573i | \(-0.0898615\pi\) |
−0.721459 | + | 0.692457i | \(0.756528\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.8758 | + | 8.58852i | 0.490173 | + | 0.283001i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −40.2382 | − | 18.8629i | −1.32446 | − | 0.620879i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.6092 | − | 2.70433i | −0.513227 | − | 0.0889178i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.82278 | + | 1.62973i | −0.0927123 | + | 0.0535275i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.4260 | + | 18.7212i | −1.06386 | + | 0.614222i | −0.926499 | − | 0.376298i | \(-0.877197\pi\) |
−0.137365 | + | 0.990520i | \(0.543863\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 9.72088i | − | 0.318589i | ||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 15.9499 | + | 9.20868i | 0.522176 | + | 0.301479i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 8.87348 | − | 12.7130i | 0.290194 | − | 0.415759i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 56.2285i | 1.83690i | 0.395533 | + | 0.918452i | \(0.370560\pi\) | ||||
−0.395533 | + | 0.918452i | \(0.629440\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.05286 | − | 7.01975i | 0.132260 | − | 0.229081i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 37.7863i | − | 1.23180i | −0.787826 | − | 0.615898i | \(-0.788793\pi\) | ||
0.787826 | − | 0.615898i | \(-0.211207\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −41.6289 | − | 72.1034i | −1.35562 | − | 2.34801i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.317516 | + | 3.69266i | −0.0103288 | + | 0.120122i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.01348 | − | 8.68360i | 0.162916 | − | 0.282179i | −0.772997 | − | 0.634409i | \(-0.781243\pi\) |
0.935913 | + | 0.352230i | \(0.114577\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 25.7662 | + | 36.9573i | 0.836406 | + | 1.19968i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.51861 | − | 2.03147i | −0.114099 | − | 0.0658749i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −0.501424 | + | 0.289497i | −0.0162427 | + | 0.00937773i | −0.508099 | − | 0.861298i | \(-0.669652\pi\) |
0.491857 | + | 0.870676i | \(0.336318\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 46.3390 | + | 3.98449i | 1.49949 | + | 0.128935i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −43.6224 | −1.41011 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 7.45309 | − | 12.9091i | 0.240673 | − | 0.416857i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.8496 | 0.414502 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 3.50799i | − | 0.113043i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −26.0748 | − | 55.7006i | −0.839379 | − | 1.79307i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.0784 | 0.549205 | 0.274602 | − | 0.961558i | \(-0.411454\pi\) | ||||
0.274602 | + | 0.961558i | \(0.411454\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.27011 | + | 1.31065i | −0.0729265 | + | 0.0421042i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21.5819 | − | 37.3810i | −0.692597 | − | 1.19961i | −0.970984 | − | 0.239144i | \(-0.923133\pi\) |
0.278387 | − | 0.960469i | \(-0.410200\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.83217 | + | 15.2978i | −0.283146 | + | 0.490424i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −16.3314 | + | 7.63445i | −0.523024 | + | 0.244498i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 21.3061 | − | 36.9032i | 0.681641 | − | 1.18064i | −0.292838 | − | 0.956162i | \(-0.594600\pi\) |
0.974480 | − | 0.224476i | \(-0.0720669\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.1466 | − | 31.4309i | −0.579969 | − | 1.00454i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.97344 | − | 5.75817i | 0.318428 | − | 0.183844i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 45.6346 | 1.45552 | 0.727758 | − | 0.685834i | \(-0.240562\pi\) | ||||
0.727758 | + | 0.685834i | \(0.240562\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −20.3007 | − | 43.3660i | −0.646835 | − | 1.38176i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | − | 17.4752i | − | 0.556243i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −19.1152 | −0.607829 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.76168 | − | 6.51542i | 0.119494 | − | 0.206969i | −0.800073 | − | 0.599902i | \(-0.795206\pi\) |
0.919567 | + | 0.392933i | \(0.128540\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.0885 | −0.637489 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −56.5701 | − | 4.86422i | −1.79339 | − | 0.154206i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 30.2852 | − | 17.4852i | 0.959141 | − | 0.553760i | 0.0632324 | − | 0.997999i | \(-0.479859\pi\) |
0.895909 | + | 0.444239i | \(0.146526\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.74387 | − | 1.58417i | −0.0868121 | − | 0.0501210i |
(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 | 780.2.bv.a.589.4 | yes | 24 | |
3.2 | odd | 2 | 2340.2.cr.b.1369.5 | 24 | |||
5.2 | odd | 4 | 3900.2.cd.n.901.5 | 12 | |||
5.3 | odd | 4 | 3900.2.cd.o.901.2 | 12 | |||
5.4 | even | 2 | inner | 780.2.bv.a.589.9 | yes | 24 | |
13.10 | even | 6 | inner | 780.2.bv.a.49.9 | yes | 24 | |
15.14 | odd | 2 | 2340.2.cr.b.1369.8 | 24 | |||
39.23 | odd | 6 | 2340.2.cr.b.829.8 | 24 | |||
65.23 | odd | 12 | 3900.2.cd.o.2701.2 | 12 | |||
65.49 | even | 6 | inner | 780.2.bv.a.49.4 | ✓ | 24 | |
65.62 | odd | 12 | 3900.2.cd.n.2701.5 | 12 | |||
195.179 | odd | 6 | 2340.2.cr.b.829.5 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
780.2.bv.a.49.4 | ✓ | 24 | 65.49 | even | 6 | inner | |
780.2.bv.a.49.9 | yes | 24 | 13.10 | even | 6 | inner | |
780.2.bv.a.589.4 | yes | 24 | 1.1 | even | 1 | trivial | |
780.2.bv.a.589.9 | yes | 24 | 5.4 | even | 2 | inner | |
2340.2.cr.b.829.5 | 24 | 195.179 | odd | 6 | |||
2340.2.cr.b.829.8 | 24 | 39.23 | odd | 6 | |||
2340.2.cr.b.1369.5 | 24 | 3.2 | odd | 2 | |||
2340.2.cr.b.1369.8 | 24 | 15.14 | odd | 2 | |||
3900.2.cd.n.901.5 | 12 | 5.2 | odd | 4 | |||
3900.2.cd.n.2701.5 | 12 | 65.62 | odd | 12 | |||
3900.2.cd.o.901.2 | 12 | 5.3 | odd | 4 | |||
3900.2.cd.o.2701.2 | 12 | 65.23 | odd | 12 |