Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1680,2,Mod(961,1680)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1680, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1680.961");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1680 = 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1680.bg (of order \(3\), 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: | \(13.4148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.961 |
Dual form | 1680.2.bg.o.1201.1 |
$q$-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 \(\left(\mathbb{Z}/1680\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(421\) | \(1121\) | \(1471\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.866025 | − | 2.50000i | −0.327327 | − | 0.944911i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.366025 | + | 0.633975i | 0.110361 | + | 0.191151i | 0.915916 | − | 0.401371i | \(-0.131466\pi\) |
−0.805555 | + | 0.592521i | \(0.798133\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.26795 | 0.629016 | 0.314508 | − | 0.949255i | \(-0.398160\pi\) | ||||
0.314508 | + | 0.949255i | \(0.398160\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.00000 | 0.258199 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.63397 | − | 2.83013i | −0.396297 | − | 0.686407i | 0.596969 | − | 0.802264i | \(-0.296372\pi\) |
−0.993266 | + | 0.115858i | \(0.963038\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.23205 | − | 3.86603i | 0.512068 | − | 0.886927i | −0.487835 | − | 0.872936i | \(-0.662213\pi\) |
0.999902 | − | 0.0139909i | \(-0.00445360\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.73205 | + | 2.00000i | −0.377964 | + | 0.436436i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.36603 | + | 4.09808i | −0.493350 | + | 0.854508i | −0.999971 | − | 0.00766135i | \(-0.997561\pi\) |
0.506620 | + | 0.862169i | \(0.330895\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.19615 | −0.779206 | −0.389603 | − | 0.920983i | \(-0.627388\pi\) | ||||
−0.389603 | + | 0.920983i | \(0.627388\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.232051 | − | 0.401924i | −0.0416776 | − | 0.0721876i | 0.844434 | − | 0.535659i | \(-0.179937\pi\) |
−0.886112 | + | 0.463472i | \(0.846604\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.366025 | − | 0.633975i | 0.0637168 | − | 0.110361i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.59808 | + | 0.500000i | 0.439155 | + | 0.0845154i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.59808 | − | 2.76795i | 0.262722 | − | 0.455048i | −0.704242 | − | 0.709960i | \(-0.748713\pi\) |
0.966964 | + | 0.254912i | \(0.0820464\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.13397 | − | 1.96410i | −0.181581 | − | 0.314508i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.732051 | −0.114327 | −0.0571636 | − | 0.998365i | \(-0.518206\pi\) | ||||
−0.0571636 | + | 0.998365i | \(0.518206\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.19615 | −0.487409 | −0.243704 | − | 0.969850i | \(-0.578363\pi\) | ||||
−0.243704 | + | 0.969850i | \(0.578363\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.500000 | − | 0.866025i | −0.0745356 | − | 0.129099i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.00000 | − | 1.73205i | 0.145865 | − | 0.252646i | −0.783830 | − | 0.620975i | \(-0.786737\pi\) |
0.929695 | + | 0.368329i | \(0.120070\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.50000 | + | 4.33013i | −0.785714 | + | 0.618590i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.63397 | + | 2.83013i | −0.228802 | + | 0.396297i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.19615 | − | 10.7321i | −0.851107 | − | 1.47416i | −0.880210 | − | 0.474584i | \(-0.842598\pi\) |
0.0291032 | − | 0.999576i | \(-0.490735\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.732051 | −0.0987097 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.46410 | −0.591285 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.0980762 | − | 0.169873i | −0.0127684 | − | 0.0221156i | 0.859571 | − | 0.511017i | \(-0.170731\pi\) |
−0.872339 | + | 0.488901i | \(0.837398\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.00000 | + | 3.46410i | −0.256074 | + | 0.443533i | −0.965187 | − | 0.261562i | \(-0.915762\pi\) |
0.709113 | + | 0.705095i | \(0.249096\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.59808 | + | 0.500000i | 0.327327 | + | 0.0629941i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.13397 | + | 1.96410i | −0.140652 | + | 0.243617i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.33013 | − | 12.6962i | −0.895518 | − | 1.55108i | −0.833163 | − | 0.553028i | \(-0.813472\pi\) |
−0.0623548 | − | 0.998054i | \(-0.519861\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.73205 | 0.569672 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.19615 | −0.735348 | −0.367674 | − | 0.929955i | \(-0.619846\pi\) | ||||
−0.367674 | + | 0.929955i | \(0.619846\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.33013 | − | 10.9641i | −0.740885 | − | 1.28325i | −0.952093 | − | 0.305810i | \(-0.901073\pi\) |
0.211207 | − | 0.977441i | \(-0.432260\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.500000 | + | 0.866025i | −0.0577350 | + | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.26795 | − | 1.46410i | 0.144496 | − | 0.166850i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.69615 | + | 6.40192i | −0.415850 | + | 0.720273i | −0.995517 | − | 0.0945803i | \(-0.969849\pi\) |
0.579668 | + | 0.814853i | \(0.303182\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −15.1244 | −1.66011 | −0.830057 | − | 0.557679i | \(-0.811692\pi\) | ||||
−0.830057 | + | 0.557679i | \(0.811692\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.26795 | 0.354459 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.09808 | + | 3.63397i | 0.224937 | + | 0.389603i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.56218 | + | 13.0981i | −0.801589 | + | 1.38839i | 0.116980 | + | 0.993134i | \(0.462679\pi\) |
−0.918570 | + | 0.395259i | \(0.870655\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.96410 | − | 5.66987i | −0.205894 | − | 0.594364i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.232051 | + | 0.401924i | −0.0240625 | + | 0.0416776i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.23205 | + | 3.86603i | 0.229004 | + | 0.396646i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.9282 | 1.51573 | 0.757865 | − | 0.652412i | \(-0.226243\pi\) | ||||
0.757865 | + | 0.652412i | \(0.226243\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.732051 | −0.0735739 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.63397 | + | 6.29423i | 0.361594 | + | 0.626299i | 0.988223 | − | 0.153018i | \(-0.0488993\pi\) |
−0.626629 | + | 0.779317i | \(0.715566\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.59808 | + | 7.96410i | −0.453062 | + | 0.784726i | −0.998574 | − | 0.0533764i | \(-0.983002\pi\) |
0.545513 | + | 0.838103i | \(0.316335\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.866025 | − | 2.50000i | −0.0845154 | − | 0.243975i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.09808 | − | 1.90192i | 0.106155 | − | 0.183866i | −0.808054 | − | 0.589108i | \(-0.799479\pi\) |
0.914210 | + | 0.405242i | \(0.132813\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50000 | − | 9.52628i | −0.526804 | − | 0.912452i | −0.999512 | − | 0.0312328i | \(-0.990057\pi\) |
0.472708 | − | 0.881219i | \(-0.343277\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.19615 | −0.303365 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.92820 | 0.839895 | 0.419947 | − | 0.907548i | \(-0.362049\pi\) | ||||
0.419947 | + | 0.907548i | \(0.362049\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.36603 | − | 4.09808i | −0.220633 | − | 0.382148i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.13397 | + | 1.96410i | −0.104836 | + | 0.181581i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.66025 | + | 6.53590i | −0.518875 | + | 0.599145i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.23205 | − | 9.06218i | 0.475641 | − | 0.823834i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.366025 | + | 0.633975i | 0.0330034 | + | 0.0571636i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.80385 | −0.426273 | −0.213136 | − | 0.977022i | \(-0.568368\pi\) | ||||
−0.213136 | + | 0.977022i | \(0.568368\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.59808 | + | 2.76795i | 0.140703 | + | 0.243704i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.73205 | − | 13.3923i | 0.675552 | − | 1.17009i | −0.300755 | − | 0.953702i | \(-0.597239\pi\) |
0.976307 | − | 0.216390i | \(-0.0694281\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.5981 | − | 2.23205i | −1.00568 | − | 0.193543i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.500000 | + | 0.866025i | −0.0430331 | + | 0.0745356i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.09808 | − | 1.90192i | −0.0938150 | − | 0.162492i | 0.815298 | − | 0.579041i | \(-0.196573\pi\) |
−0.909113 | + | 0.416549i | \(0.863240\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.92820 | −0.502824 | −0.251412 | − | 0.967880i | \(-0.580895\pi\) | ||||
−0.251412 | + | 0.967880i | \(0.580895\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.00000 | −0.168430 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.830127 | + | 1.43782i | 0.0694187 | + | 0.120237i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.09808 | − | 3.63397i | 0.174236 | − | 0.301785i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 6.50000 | + | 2.59808i | 0.536111 | + | 0.214286i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.92820 | + | 5.07180i | −0.239888 | + | 0.415498i | −0.960682 | − | 0.277651i | \(-0.910444\pi\) |
0.720794 | + | 0.693149i | \(0.243777\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.46410 | − | 7.73205i | −0.363283 | − | 0.629225i | 0.625216 | − | 0.780452i | \(-0.285011\pi\) |
−0.988499 | + | 0.151227i | \(0.951678\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.26795 | 0.264198 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.464102 | 0.0372775 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.19615 | − | 5.53590i | −0.255081 | − | 0.441813i | 0.709837 | − | 0.704366i | \(-0.248769\pi\) |
−0.964917 | + | 0.262553i | \(0.915435\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.19615 | + | 10.7321i | −0.491387 | + | 0.851107i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.2942 | + | 2.36603i | 0.968921 | + | 0.186469i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.9282 | − | 18.9282i | 0.855963 | − | 1.48257i | −0.0197859 | − | 0.999804i | \(-0.506298\pi\) |
0.875749 | − | 0.482767i | \(-0.160368\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.366025 | + | 0.633975i | 0.0284950 | + | 0.0493549i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.6603 | 1.36659 | 0.683296 | − | 0.730142i | \(-0.260546\pi\) | ||||
0.683296 | + | 0.730142i | \(0.260546\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.85641 | −0.604339 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.23205 | + | 3.86603i | 0.170689 | + | 0.295642i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −7.26795 | + | 12.5885i | −0.552572 | + | 0.957083i | 0.445516 | + | 0.895274i | \(0.353020\pi\) |
−0.998088 | + | 0.0618087i | \(0.980313\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.73205 | + | 2.00000i | −0.130931 | + | 0.151186i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.0980762 | + | 0.169873i | −0.00737186 | + | 0.0127684i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.00000 | − | 8.66025i | −0.373718 | − | 0.647298i | 0.616417 | − | 0.787420i | \(-0.288584\pi\) |
−0.990134 | + | 0.140122i | \(0.955250\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −24.3205 | −1.80773 | −0.903865 | − | 0.427819i | \(-0.859282\pi\) | ||||
−0.903865 | + | 0.427819i | \(0.859282\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.00000 | 0.295689 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.59808 | + | 2.76795i | 0.117493 | + | 0.203504i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.19615 | − | 2.07180i | 0.0874713 | − | 0.151505i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.866025 | − | 2.50000i | −0.0629941 | − | 0.181848i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.46410 | + | 7.73205i | −0.323011 | + | 0.559472i | −0.981108 | − | 0.193462i | \(-0.938028\pi\) |
0.658097 | + | 0.752933i | \(0.271362\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.598076 | − | 1.03590i | −0.0430505 | − | 0.0745656i | 0.843697 | − | 0.536819i | \(-0.180374\pi\) |
−0.886748 | + | 0.462254i | \(0.847041\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.26795 | 0.162411 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.339746 | −0.0242059 | −0.0121029 | − | 0.999927i | \(-0.503853\pi\) | ||||
−0.0121029 | + | 0.999927i | \(0.503853\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0000 | + | 19.0526i | 0.779769 | + | 1.35060i | 0.932075 | + | 0.362267i | \(0.117997\pi\) |
−0.152305 | + | 0.988334i | \(0.548670\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.33013 | + | 12.6962i | −0.517027 | + | 0.895518i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 3.63397 | + | 10.4904i | 0.255055 | + | 0.736280i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.366025 | − | 0.633975i | 0.0255643 | − | 0.0442787i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.36603 | − | 4.09808i | −0.164450 | − | 0.284836i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.26795 | 0.226049 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.07180 | −0.486843 | −0.243421 | − | 0.969921i | \(-0.578270\pi\) | ||||
−0.243421 | + | 0.969921i | \(0.578270\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.09808 | + | 5.36603i | 0.212277 | + | 0.367674i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.59808 | − | 2.76795i | 0.108988 | − | 0.188773i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.803848 | + | 0.928203i | −0.0545687 | + | 0.0630105i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.33013 | + | 10.9641i | −0.427750 | + | 0.740885i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.70577 | − | 6.41858i | −0.249277 | − | 0.431761i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.3923 | 1.36557 | 0.682785 | − | 0.730619i | \(-0.260769\pi\) | ||||
0.682785 | + | 0.730619i | \(0.260769\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.830127 | − | 1.43782i | −0.0550975 | − | 0.0954316i | 0.837161 | − | 0.546956i | \(-0.184214\pi\) |
−0.892259 | + | 0.451525i | \(0.850880\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.50000 | − | 2.59808i | 0.0991228 | − | 0.171686i | −0.812199 | − | 0.583380i | \(-0.801730\pi\) |
0.911322 | + | 0.411695i | \(0.135063\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.90192 | − | 0.366025i | −0.125137 | − | 0.0240827i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.66025 | + | 15.0000i | −0.567352 | + | 0.982683i | 0.429474 | + | 0.903079i | \(0.358699\pi\) |
−0.996827 | + | 0.0796037i | \(0.974635\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.00000 | + | 1.73205i | 0.0652328 | + | 0.112987i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 7.39230 | 0.480182 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.07180 | −0.457437 | −0.228718 | − | 0.973493i | \(-0.573453\pi\) | ||||
−0.228718 | + | 0.973493i | \(0.573453\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.73205 | − | 11.6603i | −0.433650 | − | 0.751103i | 0.563535 | − | 0.826092i | \(-0.309441\pi\) |
−0.997184 | + | 0.0749893i | \(0.976108\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.00000 | − | 6.92820i | −0.0638877 | − | 0.442627i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.06218 | − | 8.76795i | 0.322099 | − | 0.557891i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 7.56218 | + | 13.0981i | 0.479234 | + | 0.830057i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 24.5885 | 1.55201 | 0.776005 | − | 0.630727i | \(-0.217243\pi\) | ||||
0.776005 | + | 0.630727i | \(0.217243\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.46410 | −0.217786 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.63397 | − | 2.83013i | −0.102323 | − | 0.177229i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.83013 | − | 4.90192i | 0.176538 | − | 0.305774i | −0.764154 | − | 0.645034i | \(-0.776843\pi\) |
0.940693 | + | 0.339260i | \(0.110177\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.30385 | − | 1.59808i | −0.515976 | − | 0.0992996i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.09808 | − | 3.63397i | 0.129868 | − | 0.224937i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 4.19615 | + | 7.26795i | 0.258746 | + | 0.448161i | 0.965906 | − | 0.258892i | \(-0.0833575\pi\) |
−0.707160 | + | 0.707053i | \(0.750024\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.3923 | 0.761253 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 15.1244 | 0.925596 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.26795 | + | 10.8564i | 0.382164 | + | 0.661927i | 0.991371 | − | 0.131084i | \(-0.0418457\pi\) |
−0.609208 | + | 0.793011i | \(0.708512\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.53590 | − | 2.66025i | 0.0932992 | − | 0.161599i | −0.815598 | − | 0.578619i | \(-0.803592\pi\) |
0.908897 | + | 0.417020i | \(0.136925\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.92820 | + | 4.53590i | −0.237746 | + | 0.274525i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.366025 | − | 0.633975i | 0.0220722 | − | 0.0382301i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.33013 | + | 12.6962i | 0.440425 | + | 0.762838i | 0.997721 | − | 0.0674759i | \(-0.0214946\pi\) |
−0.557296 | + | 0.830314i | \(0.688161\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.464102 | 0.0277850 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.8564 | 0.826604 | 0.413302 | − | 0.910594i | \(-0.364375\pi\) | ||||
0.413302 | + | 0.910594i | \(0.364375\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.0622 | − | 20.8923i | −0.717022 | − | 1.24192i | −0.962174 | − | 0.272434i | \(-0.912171\pi\) |
0.245152 | − | 0.969485i | \(-0.421162\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.23205 | − | 3.86603i | 0.132215 | − | 0.229004i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.633975 | + | 1.83013i | 0.0374223 | + | 0.108029i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.16025 | − | 5.47372i | 0.185897 | − | 0.321984i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.46410 | − | 12.9282i | −0.437553 | − | 0.757865i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.9282 | 1.10580 | 0.552899 | − | 0.833248i | \(-0.313522\pi\) | ||||
0.552899 | + | 0.833248i | \(0.313522\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.196152 | 0.0114204 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.366025 | + | 0.633975i | 0.0212389 | + | 0.0367869i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.36603 | + | 9.29423i | −0.310325 | + | 0.537499i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.76795 | + | 7.99038i | 0.159542 | + | 0.460558i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.63397 | − | 6.29423i | 0.208766 | − | 0.361594i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.00000 | − | 3.46410i | −0.114520 | − | 0.198354i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.1244 | 1.83343 | 0.916717 | − | 0.399537i | \(-0.130829\pi\) | ||||
0.916717 | + | 0.399537i | \(0.130829\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.19615 | 0.523151 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.56218 | + | 7.90192i | 0.258697 | + | 0.448077i | 0.965893 | − | 0.258941i | \(-0.0833734\pi\) |
−0.707196 | + | 0.707018i | \(0.750040\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.33013 | − | 10.9641i | 0.357800 | − | 0.619728i | −0.629793 | − | 0.776763i | \(-0.716860\pi\) |
0.987593 | + | 0.157035i | \(0.0501936\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.73205 | + | 2.00000i | −0.0975900 | + | 0.112687i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 14.2224 | − | 24.6340i | 0.798811 | − | 1.38358i | −0.121579 | − | 0.992582i | \(-0.538796\pi\) |
0.920391 | − | 0.391000i | \(-0.127871\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.53590 | − | 2.66025i | −0.0859938 | − | 0.148946i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.19615 | −0.122577 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −14.5885 | −0.811723 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.13397 | − | 1.96410i | −0.0629016 | − | 0.108949i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.50000 | + | 9.52628i | −0.304151 | + | 0.526804i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.19615 | − | 1.00000i | −0.286473 | − | 0.0551318i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.03590 | − | 6.99038i | 0.221833 | − | 0.384226i | −0.733532 | − | 0.679655i | \(-0.762129\pi\) |
0.955365 | + | 0.295429i | \(0.0954627\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.59808 | + | 2.76795i | 0.0875740 | + | 0.151683i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 14.6603 | 0.800975 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.9808 | 0.979475 | 0.489737 | − | 0.871870i | \(-0.337093\pi\) | ||||
0.489737 | + | 0.871870i | \(0.337093\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −4.46410 | − | 7.73205i | −0.242457 | − | 0.419947i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.169873 | − | 0.294229i | 0.00919914 | − | 0.0159334i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.5885 | + | 10.0000i | 0.841698 | + | 0.539949i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.36603 | + | 4.09808i | −0.127383 | + | 0.220633i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.5359 | − | 18.2487i | −0.565597 | − | 0.979642i | −0.996994 | − | 0.0774801i | \(-0.975313\pi\) |
0.431397 | − | 0.902162i | \(-0.358021\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.0000 | 1.17763 | 0.588817 | − | 0.808267i | \(-0.299594\pi\) | ||||
0.588817 | + | 0.808267i | \(0.299594\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.26795 | 0.121054 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.56218 | + | 2.70577i | 0.0831463 | + | 0.144014i | 0.904600 | − | 0.426262i | \(-0.140170\pi\) |
−0.821453 | + | 0.570276i | \(0.806836\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.09808 | − | 5.36603i | 0.164429 | − | 0.284799i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 8.49038 | + | 1.63397i | 0.449359 | + | 0.0864791i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.633975 | + | 1.09808i | −0.0334599 | + | 0.0579542i | −0.882270 | − | 0.470743i | \(-0.843986\pi\) |
0.848811 | + | 0.528697i | \(0.177319\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.464102 | − | 0.803848i | −0.0244264 | − | 0.0423078i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −10.4641 | −0.549223 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.6603 | 0.662668 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.59808 | + | 9.69615i | 0.292217 | + | 0.506135i | 0.974334 | − | 0.225108i | \(-0.0722736\pi\) |
−0.682117 | + | 0.731244i | \(0.738940\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.366025 | − | 0.633975i | 0.0190545 | − | 0.0330034i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −21.4641 | + | 24.7846i | −1.11436 | + | 1.28675i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.2583 | + | 22.9641i | −0.686490 | + | 1.18904i | 0.286476 | + | 0.958088i | \(0.407516\pi\) |
−0.972966 | + | 0.230949i | \(0.925817\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.500000 | − | 0.866025i | −0.0258199 | − | 0.0447214i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.51666 | −0.490133 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.32051 | −0.324663 | −0.162331 | − | 0.986736i | \(-0.551901\pi\) | ||||
−0.162331 | + | 0.986736i | \(0.551901\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.40192 | + | 4.16025i | 0.123054 | + | 0.213136i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −11.6603 | + | 20.1962i | −0.595811 | + | 1.03198i | 0.397621 | + | 0.917550i | \(0.369836\pi\) |
−0.993432 | + | 0.114425i | \(0.963497\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.633975 | + | 1.83013i | 0.0323103 | + | 0.0932719i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.59808 | − | 2.76795i | 0.0812348 | − | 0.140703i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.70577 | − | 4.68653i | −0.137188 | − | 0.237617i | 0.789243 | − | 0.614081i | \(-0.210473\pi\) |
−0.926431 | + | 0.376464i | \(0.877140\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.4641 | 0.782053 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −15.4641 | −0.780061 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.69615 | − | 6.40192i | −0.185974 | − | 0.322116i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.5981 | − | 27.0167i | 0.782845 | − | 1.35593i | −0.147433 | − | 0.989072i | \(-0.547101\pi\) |
0.930278 | − | 0.366855i | \(-0.119566\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.86603 | + | 11.1603i | 0.193543 | + | 0.558712i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.19615 | − | 14.1962i | 0.409296 | − | 0.708922i | −0.585515 | − | 0.810662i | \(-0.699108\pi\) |
0.994811 | + | 0.101740i | \(0.0324409\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.526279 | − | 0.911543i | −0.0262158 | − | 0.0454072i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.00000 | 0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.33975 | 0.115977 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.57180 | − | 2.72243i | −0.0777203 | − | 0.134616i | 0.824546 | − | 0.565795i | \(-0.191431\pi\) |
−0.902266 | + | 0.431180i | \(0.858097\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.09808 | + | 1.90192i | −0.0541641 | + | 0.0938150i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.339746 | + | 0.392305i | −0.0167178 | + | 0.0193041i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.56218 | − | 13.0981i | 0.371213 | − | 0.642959i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.96410 | + | 5.13397i | 0.145153 | + | 0.251412i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 35.4641 | 1.73253 | 0.866267 | − | 0.499581i | \(-0.166513\pi\) | ||||
0.866267 | + | 0.499581i | \(0.166513\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.0717968 | 0.00349916 | 0.00174958 | − | 0.999998i | \(-0.499443\pi\) | ||||
0.00174958 | + | 0.999998i | \(0.499443\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.00000 | + | 1.73205i | 0.0486217 | + | 0.0842152i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.63397 | + | 2.83013i | −0.0792594 | + | 0.137281i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.3923 | + | 2.00000i | 0.502919 | + | 0.0967868i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.830127 | − | 1.43782i | 0.0400789 | − | 0.0694187i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.66025 | + | 15.0000i | 0.417150 | + | 0.722525i | 0.995651 | − | 0.0931566i | \(-0.0296957\pi\) |
−0.578502 | + | 0.815681i | \(0.696362\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.1962 | 0.730280 | 0.365140 | − | 0.930953i | \(-0.381021\pi\) | ||||
0.365140 | + | 0.930953i | \(0.381021\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.19615 | −0.201190 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.5622 | + | 18.2942i | 0.505257 | + | 0.875132i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.267949 | − | 0.464102i | 0.0127885 | − | 0.0221504i | −0.859560 | − | 0.511034i | \(-0.829263\pi\) |
0.872349 | + | 0.488884i | \(0.162596\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.00000 | − | 6.92820i | −0.0476190 | − | 0.329914i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.73205 | − | 8.19615i | 0.224827 | − | 0.389411i | −0.731441 | − | 0.681905i | \(-0.761152\pi\) |
0.956267 | + | 0.292494i | \(0.0944851\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.56218 | − | 13.0981i | −0.358482 | − | 0.620908i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5.85641 | 0.276999 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −35.8564 | −1.69217 | −0.846084 | − | 0.533049i | \(-0.821046\pi\) | ||||
−0.846084 | + | 0.533049i | \(0.821046\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.267949 | − | 0.464102i | −0.0126172 | − | 0.0218537i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.46410 | + | 7.73205i | −0.209742 | + | 0.363283i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.89230 | + | 1.13397i | 0.276236 | + | 0.0531615i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.33013 | − | 14.4282i | 0.389667 | − | 0.674923i | −0.602738 | − | 0.797939i | \(-0.705923\pi\) |
0.992405 | + | 0.123016i | \(0.0392568\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.63397 | − | 2.83013i | −0.0762674 | − | 0.132099i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.9808 | 0.790873 | 0.395436 | − | 0.918493i | \(-0.370593\pi\) | ||||
0.395436 | + | 0.918493i | \(0.370593\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.7321 | −1.19587 | −0.597935 | − | 0.801545i | \(-0.704012\pi\) | ||||
−0.597935 | + | 0.801545i | \(0.704012\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.232051 | − | 0.401924i | −0.0107611 | − | 0.0186388i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.0717968 | + | 0.124356i | −0.00332236 | + | 0.00575449i | −0.867682 | − | 0.497120i | \(-0.834391\pi\) |
0.864359 | + | 0.502874i | \(0.167724\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.3923 | + | 29.3205i | −1.17251 | + | 1.35390i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.19615 | + | 5.53590i | −0.147271 | + | 0.255081i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.16987 | − | 2.02628i | −0.0537908 | − | 0.0931684i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.46410 | −0.204827 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.3923 | 0.567405 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.39230 | + | 7.60770i | 0.200690 | + | 0.347604i | 0.948751 | − | 0.316025i | \(-0.102348\pi\) |
−0.748061 | + | 0.663630i | \(0.769015\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.62436 | − | 6.27757i | 0.165256 | − | 0.286232i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.09808 | − | 11.8301i | −0.186469 | − | 0.538289i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.46410 | + | 12.9282i | −0.338927 | + | 0.587039i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.205771 | − | 0.356406i | −0.00932439 | − | 0.0161503i | 0.861326 | − | 0.508053i | \(-0.169635\pi\) |
−0.870650 | + | 0.491903i | \(0.836301\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −21.8564 | −0.988381 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 38.2487 | 1.72614 | 0.863070 | − | 0.505084i | \(-0.168539\pi\) | ||||
0.863070 | + | 0.505084i | \(0.168539\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.85641 | + | 11.8756i | 0.308797 | + | 0.534852i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.366025 | − | 0.633975i | 0.0164516 | − | 0.0284950i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.36603 | + | 15.4904i | 0.240699 | + | 0.694839i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.76795 | + | 11.7224i | −0.302975 | + | 0.524768i | −0.976808 | − | 0.214115i | \(-0.931313\pi\) |
0.673833 | + | 0.738883i | \(0.264647\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.83013 | − | 15.2942i | −0.394501 | − | 0.683296i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −14.3923 | −0.641721 | −0.320861 | − | 0.947126i | \(-0.603972\pi\) | ||||
−0.320861 | + | 0.947126i | \(0.603972\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.26795 | −0.323419 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.92820 | + | 6.80385i | 0.174458 | + | 0.302169i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.26795 | + | 3.92820i | −0.100525 | + | 0.174115i | −0.911901 | − | 0.410410i | \(-0.865386\pi\) |
0.811376 | + | 0.584525i | \(0.198719\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.9282 | + | 25.3205i | −0.970047 | + | 1.12011i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.23205 | − | 3.86603i | 0.0985475 | − | 0.170689i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −4.59808 | − | 7.96410i | −0.202615 | − | 0.350940i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.46410 | 0.0643911 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.5359 | 0.638055 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.73205 | + | 4.73205i | 0.119693 | + | 0.207315i | 0.919646 | − | 0.392748i | \(-0.128476\pi\) |
−0.799953 | + | 0.600063i | \(0.795142\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.8660 | + | 24.0167i | −0.606319 | + | 1.05018i | 0.385523 | + | 0.922698i | \(0.374021\pi\) |
−0.991842 | + | 0.127477i | \(0.959312\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.59808 | + | 0.500000i | 0.113389 | + | 0.0218218i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.758330 | + | 1.31347i | −0.0330334 | + | 0.0572155i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.303848 | + | 0.526279i | 0.0132108 | + | 0.0228817i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.196152 | 0.00851229 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.66025 | −0.0719136 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.09808 | + | 1.90192i | 0.0474740 | + | 0.0822273i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −5.00000 | + | 8.66025i | −0.215766 | + | 0.373718i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.75833 | − | 1.90192i | −0.204956 | − | 0.0819217i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.89230 | + | 5.00962i | −0.124350 | + | 0.215380i | −0.921479 | − | 0.388429i | \(-0.873018\pi\) |
0.797129 | + | 0.603809i | \(0.206351\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 12.1603 | + | 21.0622i | 0.521846 | + | 0.903865i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.0000 | 0.471188 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.2487 | 1.12231 | 0.561157 | − | 0.827709i | \(-0.310356\pi\) | ||||
0.561157 | + | 0.827709i | \(0.310356\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.00000 | − | 3.46410i | −0.0853579 | − | 0.147844i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.36603 | + | 16.2224i | −0.399006 | + | 0.691099i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.2058 | + | 3.69615i | 0.816712 | + | 0.157176i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.59808 | − | 2.76795i | 0.0678346 | − | 0.117493i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.39230 | − | 12.8038i | −0.313222 | − | 0.542516i | 0.665836 | − | 0.746098i | \(-0.268075\pi\) |
−0.979058 | + | 0.203582i | \(0.934742\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.24871 | −0.306588 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.39230 | −0.101003 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.00000 | − | 15.5885i | −0.379305 | − | 0.656975i | 0.611656 | − | 0.791123i | \(-0.290503\pi\) |
−0.990961 | + | 0.134148i | \(0.957170\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.46410 | + | 7.73205i | −0.187806 | + | 0.325290i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.73205 | + | 2.00000i | −0.0727393 | + | 0.0839921i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −16.2224 | + | 28.0981i | −0.680080 | + | 1.17793i | 0.294876 | + | 0.955535i | \(0.404722\pi\) |
−0.974956 | + | 0.222397i | \(0.928612\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.30385 | + | 16.1147i | 0.389354 | + | 0.674381i | 0.992363 | − | 0.123354i | \(-0.0393650\pi\) |
−0.603009 | + | 0.797734i | \(0.706032\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.92820 | 0.372981 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.73205 | 0.197340 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.3301 | − | 24.8205i | −0.596571 | − | 1.03329i | −0.993323 | − | 0.115365i | \(-0.963196\pi\) |
0.396752 | − | 0.917926i | \(-0.370137\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.598076 | + | 1.03590i | −0.0248552 | + | 0.0430505i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 13.0981 | + | 37.8109i | 0.543400 | + | 1.56866i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.53590 | − | 7.85641i | 0.187858 | − | 0.325379i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.13397 | − | 1.96410i | −0.0468841 | − | 0.0812056i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −40.7321 | −1.68119 | −0.840596 | − | 0.541663i | \(-0.817795\pi\) | ||||
−0.840596 | + | 0.541663i | \(0.817795\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.07180 | −0.0853669 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.169873 | + | 0.294229i | 0.00698764 | + | 0.0121029i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.9545 | + | 24.1699i | −0.573042 | + | 0.992538i | 0.423209 | + | 0.906032i | \(0.360903\pi\) |
−0.996251 | + | 0.0865058i | \(0.972430\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.83013 | − | 8.16987i | −0.116024 | − | 0.334932i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11.0000 | − | 19.0526i | 0.450200 | − | 0.779769i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −19.1244 | − | 33.1244i | −0.781400 | − | 1.35342i | −0.931126 | − | 0.364697i | \(-0.881173\pi\) |
0.149726 | − | 0.988727i | \(-0.452161\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.0717968 | −0.00292865 | −0.00146433 | − | 0.999999i | \(-0.500466\pi\) | ||||
−0.00146433 | + | 0.999999i | \(0.500466\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.6603 | 0.597012 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.23205 | + | 9.06218i | 0.212713 | + | 0.368430i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.59808 | − | 2.76795i | 0.0648639 | − | 0.112348i | −0.831770 | − | 0.555121i | \(-0.812672\pi\) |
0.896634 | + | 0.442773i | \(0.146005\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.26795 | − | 8.39230i | 0.294512 | − | 0.340073i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.26795 | − | 3.92820i | 0.0917514 | − | 0.158918i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.4641 | + | 23.3205i | 0.543810 | + | 0.941906i | 0.998681 | + | 0.0513490i | \(0.0163521\pi\) |
−0.454871 | + | 0.890557i | \(0.650315\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.732051 | −0.0295191 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −36.2487 | −1.45932 | −0.729659 | − | 0.683811i | \(-0.760321\pi\) | ||||
−0.729659 | + | 0.683811i | \(0.760321\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.0359 | − | 26.0429i | −0.604344 | − | 1.04675i | −0.992155 | − | 0.125015i | \(-0.960102\pi\) |
0.387811 | − | 0.921739i | \(-0.373231\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.36603 | + | 4.09808i | −0.0949453 | + | 0.164450i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 39.2942 | + | 7.56218i | 1.57429 | + | 0.302972i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.63397 | − | 2.83013i | −0.0652547 | − | 0.113024i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −10.4449 | −0.416464 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −48.7846 | −1.94208 | −0.971042 | − | 0.238908i | \(-0.923211\pi\) | ||||
−0.971042 | + | 0.238908i | \(0.923211\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.53590 | + | 6.12436i | 0.140539 | + | 0.243421i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.40192 | − | 4.16025i | 0.0953174 | − | 0.165095i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.4737 | + | 9.82051i | −0.494227 | + | 0.389103i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.09808 | − | 5.36603i | 0.122558 | − | 0.212277i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.90192 | − | 3.29423i | −0.0751215 | − | 0.130114i | 0.826018 | − | 0.563644i | \(-0.190601\pi\) |
−0.901139 | + | 0.433530i | \(0.857268\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.51666 | −0.178120 | −0.0890599 | − | 0.996026i | \(-0.528386\pi\) | ||||
−0.0890599 | + | 0.996026i | \(0.528386\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.19615 | −0.125848 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −13.9545 | − | 24.1699i | −0.548607 | − | 0.950216i | −0.998370 | − | 0.0570678i | \(-0.981825\pi\) |
0.449763 | − | 0.893148i | \(-0.351508\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0717968 | − | 0.124356i | 0.00281827 | − | 0.00488139i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.20577 | + | 0.232051i | 0.0472579 | + | 0.00909479i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.2942 | − | 38.6147i | 0.872441 | − | 1.51111i | 0.0129762 | − | 0.999916i | \(-0.495869\pi\) |
0.859464 | − | 0.511196i | \(-0.170797\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.73205 | + | 13.3923i | 0.302116 | + | 0.523281i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 12.6603 | 0.493924 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.92820 | −0.114067 | −0.0570333 | − | 0.998372i | \(-0.518164\pi\) | ||||
−0.0570333 | + | 0.998372i | \(0.518164\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.23205 | − | 9.06218i | −0.203503 | − | 0.352478i | 0.746152 | − | 0.665776i | \(-0.231899\pi\) |
−0.949655 | + | 0.313298i | \(0.898566\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.70577 | + | 6.41858i | −0.143920 | + | 0.249277i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.73205 | − | 8.92820i | 0.299836 | − | 0.346221i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.92820 | − | 17.1962i | 0.384422 | − | 0.665838i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −10.1962 | − | 17.6603i | −0.394206 | − | 0.682785i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.92820 | −0.113042 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.3397 | −1.05387 | −0.526935 | − | 0.849906i | \(-0.676659\pi\) | ||||
−0.526935 | + | 0.849906i | \(0.676659\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.500000 | − | 0.866025i | −0.0192450 | − | 0.0333333i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 16.5622 | − | 28.6865i | 0.636536 | − | 1.10251i | −0.349651 | − | 0.936880i | \(-0.613700\pi\) |
0.986187 | − | 0.165633i | \(-0.0529668\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.9282 | − | 37.3205i | −0.496139 | − | 1.43223i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.830127 | + | 1.43782i | −0.0318105 | + | 0.0550975i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.0263 | − | 24.2942i | −0.536701 | − | 0.929593i | −0.999079 | − | 0.0429101i | \(-0.986337\pi\) |
0.462378 | − | 0.886683i | \(-0.346996\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.19615 | 0.0839107 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.00000 | −0.114457 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −14.0526 | − | 24.3397i | −0.535360 | − | 0.927270i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.42820 | − | 7.66987i | 0.168457 | − | 0.291776i | −0.769421 | − | 0.638742i | \(-0.779455\pi\) |
0.937877 | + | 0.346967i | \(0.112788\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.633975 | + | 1.83013i | 0.0240827 | + | 0.0695208i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.96410 | − | 5.13397i | 0.112435 | − | 0.194743i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.19615 | + | 2.07180i | 0.0453075 | + | 0.0784749i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 17.3205 | 0.655122 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.58846 | −0.324382 | −0.162191 | − | 0.986759i | \(-0.551856\pi\) | ||||
−0.162191 | + | 0.986759i | \(0.551856\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.13397 | − | 12.3564i | −0.269063 | − | 0.466031i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.00000 | − | 1.73205i | 0.0376622 | − | 0.0652328i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 12.5885 | − | 14.5359i | 0.473438 | − | 0.546679i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.535898 | − | 0.928203i | 0.0201261 | − | 0.0348594i | −0.855787 | − | 0.517328i | \(-0.826927\pi\) |
0.875913 | + | 0.482469i | \(0.160260\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.69615 | − | 6.40192i | −0.138617 | − | 0.240091i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.19615 | 0.0822466 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.66025 | −0.0620900 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.53590 | + | 6.12436i | 0.132051 | + | 0.228718i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −10.2679 | + | 17.7846i | −0.382930 | + | 0.663254i | −0.991480 | − | 0.130262i | \(-0.958418\pi\) |
0.608550 | + | 0.793516i | \(0.291752\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.8923 | + | 4.59808i | 0.889796 | + | 0.171241i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6.73205 | + | 11.6603i | −0.250368 | + | 0.433650i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.09808 | + | 3.63397i | 0.0779206 | + | 0.134962i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.3397 | 0.494744 | 0.247372 | − | 0.968921i | \(-0.420433\pi\) | ||||
0.247372 | + | 0.968921i | \(0.420433\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.22243 | + | 9.04552i | 0.193159 | + | 0.334561i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.669873 | − | 1.16025i | 0.0247423 | − | 0.0428550i | −0.853389 | − | 0.521274i | \(-0.825457\pi\) |
0.878131 | + | 0.478419i | \(0.158790\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.50000 | + | 4.33013i | −0.202871 | + | 0.159719i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.36603 | − | 9.29423i | 0.197660 | − | 0.342357i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.8923 | + | 24.0622i | 0.511037 | + | 0.885142i | 0.999918 | + | 0.0127913i | \(0.00407171\pi\) |
−0.488881 | + | 0.872350i | \(0.662595\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.1244 | −0.371927 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.9090 | 0.583643 | 0.291822 | − | 0.956473i | \(-0.405739\pi\) | ||||
0.291822 | + | 0.956473i | \(0.405739\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.92820 | − | 5.07180i | −0.107281 | − | 0.185816i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.56218 | − | 13.0981i | 0.276686 | − | 0.479234i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.70577 | − | 1.09808i | −0.208484 | − | 0.0401228i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.03590 | − | 15.6506i | 0.329725 | − | 0.571100i | −0.652732 | − | 0.757588i | \(-0.726377\pi\) |
0.982457 | + | 0.186489i | \(0.0597108\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.2942 | − | 21.2942i | −0.448027 | − | 0.776005i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.92820 | 0.324931 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −27.8564 | −1.01246 | −0.506229 | − | 0.862399i | \(-0.668961\pi\) | ||||
−0.506229 | + | 0.862399i | \(0.668961\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.73205 | + | 3.00000i | 0.0628695 | + | 0.108893i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.3660 | + | 40.4711i | −0.847018 | + | 1.46708i | 0.0368396 | + | 0.999321i | \(0.488271\pi\) |
−0.883857 | + | 0.467757i | \(0.845062\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.0526 | + | 22.0000i | −0.689749 | + | 0.796453i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.63397 | + | 2.83013i | −0.0590765 | + | 0.102323i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.222432 | − | 0.385263i | −0.00803155 | − | 0.0139111i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 52.3205 | 1.88673 | 0.943363 | − | 0.331763i | \(-0.107643\pi\) | ||||
0.943363 | + | 0.331763i | \(0.107643\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.66025 | −0.203849 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −21.7583 | − | 37.6865i | −0.782593 | − | 1.35549i | −0.930427 | − | 0.366478i | \(-0.880563\pi\) |
0.147834 | − | 0.989012i | \(-0.452770\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.232051 | + | 0.401924i | −0.00833551 | + | 0.0144375i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.76795 | + | 7.99038i | 0.0992996 | + | 0.286653i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.63397 | + | 2.83013i | −0.0585432 | + | 0.101400i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.26795 | − | 3.92820i | −0.0811536 | − | 0.140562i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.19615 | −0.149958 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.39230 | 0.228151 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.73205 | + | 11.6603i | 0.239972 | + | 0.415643i | 0.960706 | − | 0.277568i | \(-0.0895285\pi\) |
−0.720734 | + | 0.693212i | \(0.756195\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.19615 | − | 7.26795i | 0.149387 | − | 0.258746i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −7.73205 | − | 22.3205i | −0.274920 | − | 0.793626i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.53590 | + | 7.85641i | −0.161074 | + | 0.278989i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.19615 | − | 10.7321i | −0.219755 | − | 0.380627i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.94744 | −0.139826 | −0.0699128 | − | 0.997553i | \(-0.522272\pi\) | ||||
−0.0699128 | + | 0.997553i | \(0.522272\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.53590 | −0.231223 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.56218 | − | 13.0981i | −0.267196 | − | 0.462798i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.63397 | − | 8.02628i | 0.163529 | − | 0.283241i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.19615 | + | 9.46410i | −0.288876 | + | 0.333566i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 6.26795 | − | 10.8564i | 0.220642 | − | 0.382164i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −12.8564 | − | 22.2679i | −0.452007 | − | 0.782899i | 0.546503 | − | 0.837457i | \(-0.315959\pi\) |
−0.998511 | + | 0.0545574i | \(0.982625\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.46410 | 0.121641 | 0.0608205 | − | 0.998149i | \(-0.480628\pi\) | ||||
0.0608205 | + | 0.998149i | \(0.480628\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.07180 | −0.107733 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 10.9282 | + | 18.9282i | 0.382798 | + | 0.663026i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.13397 | + | 12.3564i | −0.249586 | + | 0.432296i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.89230 | + | 1.13397i | 0.205894 | + | 0.0396243i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 12.7583 | − | 22.0981i | 0.445269 | − | 0.771228i | −0.552802 | − | 0.833313i | \(-0.686441\pi\) |
0.998071 | + | 0.0620844i | \(0.0197748\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.5885 | + | 33.9282i | 0.682811 | + | 1.18266i | 0.974119 | + | 0.226034i | \(0.0725760\pi\) |
−0.291309 | + | 0.956629i | \(0.594091\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.732051 | −0.0254867 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.75129 | 0.130445 | 0.0652225 | − | 0.997871i | \(-0.479224\pi\) | ||||
0.0652225 | + | 0.997871i | \(0.479224\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.30385 | + | 3.99038i | 0.0800159 | + | 0.138592i | 0.903257 | − | 0.429101i | \(-0.141170\pi\) |
−0.823241 | + | 0.567693i | \(0.807836\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.33013 | − | 12.6962i | 0.254279 | − | 0.440425i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21.2417 | + | 8.49038i | 0.735980 | + | 0.294174i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.83013 | + | 15.2942i | −0.305579 | + | 0.529279i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.232051 | − | 0.401924i | −0.00802085 | − | 0.0138925i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.4449 | −0.636787 | −0.318394 | − | 0.947959i | \(-0.603143\pi\) | ||||
−0.318394 | + | 0.947959i | \(0.603143\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.3923 | −0.392838 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.92820 | − | 12.0000i | −0.238620 | − | 0.413302i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.92820 | − | 6.80385i | 0.135134 | − | 0.234059i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.1865 | − | 5.23205i | −0.934140 | − | 0.179775i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −12.0622 | + | 20.8923i | −0.413973 | + | 0.717022i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.56218 | + | 13.0981i | 0.259228 | + | 0.448996i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −31.9808 | −1.09500 | −0.547500 | − | 0.836806i | \(-0.684420\pi\) | ||||
−0.547500 | + | 0.836806i | \(0.684420\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −4.46410 | −0.152669 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −14.5622 | − | 25.2224i | −0.497435 | − | 0.861582i | 0.502561 | − | 0.864542i | \(-0.332391\pi\) |
−0.999996 | + | 0.00295983i | \(0.999058\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.73205 | − | 6.46410i | 0.127336 | − | 0.220552i | −0.795308 | − | 0.606206i | \(-0.792691\pi\) |
0.922644 | + | 0.385654i | \(0.126024\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.26795 | − | 1.46410i | 0.0432116 | − | 0.0498964i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.19615 | − | 12.4641i | 0.244960 | − | 0.424283i | −0.717160 | − | 0.696908i | \(-0.754559\pi\) |
0.962120 | + | 0.272625i | \(0.0878919\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.26795 | − | 12.5885i | −0.247118 | − | 0.428020i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.32051 | −0.214656 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.41154 | −0.183574 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.6244 | − | 28.7942i | −0.563295 | − | 0.975655i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −7.46410 | + | 12.9282i | −0.252622 | + | 0.437553i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.866025 | − | 2.50000i | −0.0292770 | − | 0.0845154i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.07180 | − | 3.58846i | 0.0699596 | − | 0.121174i | −0.828924 | − | 0.559362i | \(-0.811046\pi\) |
0.898883 | + | 0.438188i | \(0.144380\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −9.46410 | − | 16.3923i | −0.319216 | − | 0.552899i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.85641 | 0.332071 | 0.166035 | − | 0.986120i | \(-0.446903\pi\) | ||||
0.166035 | + | 0.986120i | \(0.446903\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −53.5885 | −1.80340 | −0.901698 | − | 0.432367i | \(-0.857678\pi\) | ||||
−0.901698 | + | 0.432367i | \(0.857678\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0980762 | − | 0.169873i | −0.00329680 | − | 0.00571022i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −12.6340 | + | 21.8827i | −0.424207 | + | 0.734749i | −0.996346 | − | 0.0854082i | \(-0.972781\pi\) |
0.572139 | + | 0.820157i | \(0.306114\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.16025 | + | 12.0096i | 0.139530 | + | 0.402790i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.366025 | − | 0.633975i | 0.0122623 | − | 0.0212389i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.46410 | − | 7.73205i | −0.149385 | − | 0.258743i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.0000 | 0.334263 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.7321 | 0.358333 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.973721 | + | 1.68653i | 0.0324754 | + | 0.0562490i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −20.2487 | + | 35.0718i | −0.674582 | + | 1.16841i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.53590 | − | 6.39230i | 0.184223 | − | 0.212723i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 12.1603 | − | 21.0622i | 0.404221 | − | 0.700130i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 16.7942 | + | 29.0885i | 0.557643 | + | 0.965866i | 0.997693 | + | 0.0678928i | \(0.0216276\pi\) |
−0.440049 | + | 0.897974i | \(0.645039\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −7.26795 | −0.241063 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.7321 | 0.488095 | 0.244047 | − | 0.969763i | \(-0.421525\pi\) | ||||
0.244047 | + | 0.969763i | \(0.421525\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.53590 | − | 9.58846i | −0.183211 | − | 0.317332i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.00000 | + | 3.46410i | −0.0661180 | + | 0.114520i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −40.1769 | − | 7.73205i | −1.32676 | − | 0.255335i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.4282 | + | 26.7224i | −0.508929 | + | 0.881492i | 0.491017 | + | 0.871150i | \(0.336625\pi\) |
−0.999947 | + | 0.0103417i | \(0.996708\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −16.0622 | − | 27.8205i | −0.529267 | − | 0.916717i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −14.0526 | −0.462546 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.19615 | −0.105089 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.59808 | − | 7.96410i | −0.151021 | − | 0.261575i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 26.2224 | − | 45.4186i | 0.860330 | − | 1.49014i | −0.0112804 | − | 0.999936i | \(-0.503591\pi\) |
0.871611 | − | 0.490199i | \(-0.163076\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.46410 | + | 30.9282i | 0.146305 | + | 1.01363i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.56218 | − | 7.90192i | 0.149359 | − | 0.258697i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.19615 | + | 2.07180i | 0.0391184 | + | 0.0677550i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.7321 | 1.03664 | 0.518320 | − | 0.855186i | \(-0.326557\pi\) | ||||
0.518320 | + | 0.855186i | \(0.326557\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.6603 | −0.413152 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 15.0263 | + | 26.0263i | 0.489843 | + | 0.848432i | 0.999932 | − | 0.0116892i | \(-0.00372087\pi\) |
−0.510089 | + | 0.860122i | \(0.670388\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.73205 | − | 3.00000i | 0.0564033 | − | 0.0976934i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.59808 | + | 0.500000i | 0.0845154 | + | 0.0162650i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −2.83013 | + | 4.90192i | −0.0919668 | + | 0.159291i | −0.908339 | − | 0.418235i | \(-0.862649\pi\) |
0.816372 | + | 0.577527i | \(0.195982\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.3564 | − | 24.8660i | −0.466029 | − | 0.807185i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −28.4449 | −0.922388 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −36.1051 | −1.16956 | −0.584780 | − | 0.811192i | \(-0.698819\pi\) | ||||
−0.584780 | + | 0.811192i | \(0.698819\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.46410 | − | 7.73205i | −0.144455 | − | 0.250203i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.53590 | + | 2.66025i | −0.0496485 | + | 0.0859938i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.80385 | + | 4.39230i | −0.122833 | + | 0.141835i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.3923 | − | 26.6603i | 0.496526 | − | 0.860008i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.09808 | + | 1.90192i | 0.0353850 | + | 0.0612886i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.19615 | 0.0385055 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.1244 | 0.325577 | 0.162789 | − | 0.986661i | \(-0.447951\pi\) | ||||
0.162789 | + | 0.986661i | \(0.447951\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.29423 | + | 12.6340i | 0.234324 | + | 0.405862i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −12.0000 | + | 20.7846i | −0.385098 | + | 0.667010i | −0.991783 | − | 0.127933i | \(-0.959166\pi\) |
0.606685 | + | 0.794943i | \(0.292499\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.13397 | + | 14.8205i | 0.164588 | + | 0.475124i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.13397 | + | 1.96410i | −0.0363163 | + | 0.0629016i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.29423 | + | 14.3660i | 0.265356 | + | 0.459610i | 0.967657 | − | 0.252270i | \(-0.0811772\pi\) |
−0.702301 | + | 0.711880i | \(0.747844\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −11.0718 | −0.353856 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.0000 | 0.351203 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.90192 | + | 8.49038i | 0.156347 | + | 0.270801i | 0.933549 | − | 0.358451i | \(-0.116695\pi\) |
−0.777202 | + | 0.629252i | \(0.783361\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.169873 | − | 0.294229i | 0.00541260 | − | 0.00937490i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.73205 | + | 5.00000i | 0.0551318 | + | 0.159152i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 7.56218 | − | 13.0981i | 0.240463 | − | 0.416495i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.5526 | − | 18.2776i | −0.335213 | − | 0.580606i | 0.648313 | − | 0.761374i | \(-0.275475\pi\) |
−0.983526 | + | 0.180768i | \(0.942142\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −8.07180 | −0.256151 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −22.0000 | −0.697447 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 27.9904 | + | 48.4808i | 0.886464 | + | 1.53540i | 0.844026 | + | 0.536302i | \(0.180179\pi\) |
0.0424381 | + | 0.999099i | \(0.486487\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.59808 | − | 2.76795i | 0.0505609 | − | 0.0875740i |
(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 | 1680.2.bg.o.961.1 | 4 | ||
4.3 | odd | 2 | 105.2.i.d.16.2 | ✓ | 4 | ||
7.4 | even | 3 | inner | 1680.2.bg.o.1201.1 | 4 | ||
12.11 | even | 2 | 315.2.j.c.226.1 | 4 | |||
20.3 | even | 4 | 525.2.r.a.499.1 | 4 | |||
20.7 | even | 4 | 525.2.r.f.499.2 | 4 | |||
20.19 | odd | 2 | 525.2.i.f.226.1 | 4 | |||
28.3 | even | 6 | 735.2.i.l.361.2 | 4 | |||
28.11 | odd | 6 | 105.2.i.d.46.2 | yes | 4 | ||
28.19 | even | 6 | 735.2.a.h.1.1 | 2 | |||
28.23 | odd | 6 | 735.2.a.g.1.1 | 2 | |||
28.27 | even | 2 | 735.2.i.l.226.2 | 4 | |||
84.11 | even | 6 | 315.2.j.c.46.1 | 4 | |||
84.23 | even | 6 | 2205.2.a.z.1.2 | 2 | |||
84.47 | odd | 6 | 2205.2.a.ba.1.2 | 2 | |||
140.19 | even | 6 | 3675.2.a.be.1.2 | 2 | |||
140.39 | odd | 6 | 525.2.i.f.151.1 | 4 | |||
140.67 | even | 12 | 525.2.r.a.424.1 | 4 | |||
140.79 | odd | 6 | 3675.2.a.bg.1.2 | 2 | |||
140.123 | even | 12 | 525.2.r.f.424.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.i.d.16.2 | ✓ | 4 | 4.3 | odd | 2 | ||
105.2.i.d.46.2 | yes | 4 | 28.11 | odd | 6 | ||
315.2.j.c.46.1 | 4 | 84.11 | even | 6 | |||
315.2.j.c.226.1 | 4 | 12.11 | even | 2 | |||
525.2.i.f.151.1 | 4 | 140.39 | odd | 6 | |||
525.2.i.f.226.1 | 4 | 20.19 | odd | 2 | |||
525.2.r.a.424.1 | 4 | 140.67 | even | 12 | |||
525.2.r.a.499.1 | 4 | 20.3 | even | 4 | |||
525.2.r.f.424.2 | 4 | 140.123 | even | 12 | |||
525.2.r.f.499.2 | 4 | 20.7 | even | 4 | |||
735.2.a.g.1.1 | 2 | 28.23 | odd | 6 | |||
735.2.a.h.1.1 | 2 | 28.19 | even | 6 | |||
735.2.i.l.226.2 | 4 | 28.27 | even | 2 | |||
735.2.i.l.361.2 | 4 | 28.3 | even | 6 | |||
1680.2.bg.o.961.1 | 4 | 1.1 | even | 1 | trivial | ||
1680.2.bg.o.1201.1 | 4 | 7.4 | even | 3 | inner | ||
2205.2.a.z.1.2 | 2 | 84.23 | even | 6 | |||
2205.2.a.ba.1.2 | 2 | 84.47 | odd | 6 | |||
3675.2.a.be.1.2 | 2 | 140.19 | even | 6 | |||
3675.2.a.bg.1.2 | 2 | 140.79 | odd | 6 |