Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5148,2,Mod(1,5148)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5148, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5148.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5148 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5148.a (trivial) |
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: | yes |
Analytic conductor: | \(41.1069869606\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.815952.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 6x^{3} + 6x^{2} + 9x - 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.26478\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5148.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.15937 | −0.965700 | −0.482850 | − | 0.875703i | \(-0.660398\pi\) | ||||
−0.482850 | + | 0.875703i | \(0.660398\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.571762 | 0.216106 | 0.108053 | − | 0.994145i | \(-0.465538\pi\) | ||||
0.108053 | + | 0.994145i | \(0.465538\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.82226 | −0.684498 | −0.342249 | − | 0.939609i | \(-0.611189\pi\) | ||||
−0.342249 | + | 0.939609i | \(0.611189\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −8.00545 | −1.83658 | −0.918289 | − | 0.395912i | \(-0.870429\pi\) | ||||
−0.918289 | + | 0.395912i | \(0.870429\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.07750 | 0.850217 | 0.425109 | − | 0.905142i | \(-0.360236\pi\) | ||||
0.425109 | + | 0.905142i | \(0.360236\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.337115 | −0.0674231 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.46004 | 0.828209 | 0.414105 | − | 0.910229i | \(-0.364095\pi\) | ||||
0.414105 | + | 0.910229i | \(0.364095\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.10355 | −1.45544 | −0.727720 | − | 0.685874i | \(-0.759420\pi\) | ||||
−0.727720 | + | 0.685874i | \(0.759420\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.23465 | −0.208693 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.75274 | −0.452547 | −0.226273 | − | 0.974064i | \(-0.572654\pi\) | ||||
−0.226273 | + | 0.974064i | \(0.572654\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 12.5636 | 1.96210 | 0.981052 | − | 0.193746i | \(-0.0620637\pi\) | ||||
0.981052 | + | 0.193746i | \(0.0620637\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.4953 | 1.60052 | 0.800262 | − | 0.599650i | \(-0.204693\pi\) | ||||
0.800262 | + | 0.599650i | \(0.204693\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.60921 | 0.526458 | 0.263229 | − | 0.964733i | \(-0.415213\pi\) | ||||
0.263229 | + | 0.964733i | \(0.415213\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.67309 | −0.953298 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.57722 | −0.628729 | −0.314364 | − | 0.949302i | \(-0.601791\pi\) | ||||
−0.314364 | + | 0.949302i | \(0.601791\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.15937 | 0.291170 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 10.7880 | 1.40448 | 0.702241 | − | 0.711939i | \(-0.252183\pi\) | ||||
0.702241 | + | 0.711939i | \(0.252183\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.963556 | 0.123371 | 0.0616854 | − | 0.998096i | \(-0.480352\pi\) | ||||
0.0616854 | + | 0.998096i | \(0.480352\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.15937 | 0.267837 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.35872 | 0.165994 | 0.0829969 | − | 0.996550i | \(-0.473551\pi\) | ||||
0.0829969 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.56601 | 0.897920 | 0.448960 | − | 0.893552i | \(-0.351795\pi\) | ||||
0.448960 | + | 0.893552i | \(0.351795\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.06572 | −0.709939 | −0.354970 | − | 0.934878i | \(-0.615509\pi\) | ||||
−0.354970 | + | 0.934878i | \(0.615509\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.571762 | −0.0651584 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.75496 | −0.647484 | −0.323742 | − | 0.946145i | \(-0.604941\pi\) | ||||
−0.323742 | + | 0.946145i | \(0.604941\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 8.01908 | 0.880208 | 0.440104 | − | 0.897947i | \(-0.354942\pi\) | ||||
0.440104 | + | 0.897947i | \(0.354942\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.09430 | 0.661020 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.50194 | −0.583204 | −0.291602 | − | 0.956540i | \(-0.594188\pi\) | ||||
−0.291602 | + | 0.956540i | \(0.594188\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.571762 | −0.0599370 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 17.2867 | 1.77358 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.4017 | 1.46227 | 0.731135 | − | 0.682232i | \(-0.238991\pi\) | ||||
0.731135 | + | 0.682232i | \(0.238991\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.14100 | −0.710556 | −0.355278 | − | 0.934761i | \(-0.615614\pi\) | ||||
−0.355278 | + | 0.934761i | \(0.615614\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.78918 | −0.176293 | −0.0881465 | − | 0.996108i | \(-0.528094\pi\) | ||||
−0.0881465 | + | 0.996108i | \(0.528094\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.79248 | −0.850002 | −0.425001 | − | 0.905193i | \(-0.639726\pi\) | ||||
−0.425001 | + | 0.905193i | \(0.639726\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 20.2684 | 1.94136 | 0.970679 | − | 0.240379i | \(-0.0772717\pi\) | ||||
0.970679 | + | 0.240379i | \(0.0772717\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −20.2262 | −1.90272 | −0.951359 | − | 0.308084i | \(-0.900312\pi\) | ||||
−0.951359 | + | 0.308084i | \(0.900312\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.80484 | −0.821055 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.61366 | −0.147924 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.5248 | 1.03081 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −17.1763 | −1.52415 | −0.762075 | − | 0.647489i | \(-0.775819\pi\) | ||||
−0.762075 | + | 0.647489i | \(0.775819\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.83569 | −0.422496 | −0.211248 | − | 0.977432i | \(-0.567753\pi\) | ||||
−0.211248 | + | 0.977432i | \(0.567753\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.57722 | −0.396895 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.1032 | 1.29036 | 0.645179 | − | 0.764032i | \(-0.276783\pi\) | ||||
0.645179 | + | 0.764032i | \(0.276783\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.21304 | 0.272527 | 0.136263 | − | 0.990673i | \(-0.456491\pi\) | ||||
0.136263 | + | 0.990673i | \(0.456491\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.00000 | 0.0836242 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.63089 | −0.799802 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 23.9973 | 1.96593 | 0.982967 | − | 0.183782i | \(-0.0588340\pi\) | ||||
0.982967 | + | 0.183782i | \(0.0588340\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.90958 | −0.725051 | −0.362526 | − | 0.931974i | \(-0.618086\pi\) | ||||
−0.362526 | + | 0.931974i | \(0.618086\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 17.4986 | 1.40552 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 16.5392 | 1.31997 | 0.659986 | − | 0.751278i | \(-0.270562\pi\) | ||||
0.659986 | + | 0.751278i | \(0.270562\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.33136 | 0.183737 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.7128 | 0.917414 | 0.458707 | − | 0.888588i | \(-0.348313\pi\) | ||||
0.458707 | + | 0.888588i | \(0.348313\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −18.2136 | −1.40941 | −0.704704 | − | 0.709502i | \(-0.748920\pi\) | ||||
−0.704704 | + | 0.709502i | \(0.748920\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.86991 | −0.674367 | −0.337183 | − | 0.941439i | \(-0.609474\pi\) | ||||
−0.337183 | + | 0.941439i | \(0.609474\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.192750 | −0.0145705 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 15.6317 | 1.16837 | 0.584185 | − | 0.811620i | \(-0.301414\pi\) | ||||
0.584185 | + | 0.811620i | \(0.301414\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.09772 | 0.0815928 | 0.0407964 | − | 0.999167i | \(-0.487010\pi\) | ||||
0.0407964 | + | 0.999167i | \(0.487010\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.94418 | 0.437025 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.82226 | 0.206384 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −16.6725 | −1.20638 | −0.603191 | − | 0.797597i | \(-0.706104\pi\) | ||||
−0.603191 | + | 0.797597i | \(0.706104\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.3160 | 1.31842 | 0.659208 | − | 0.751960i | \(-0.270892\pi\) | ||||
0.659208 | + | 0.751960i | \(0.270892\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 22.2925 | 1.58828 | 0.794138 | − | 0.607738i | \(-0.207923\pi\) | ||||
0.794138 | + | 0.607738i | \(0.207923\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.4381 | 1.23616 | 0.618078 | − | 0.786116i | \(-0.287911\pi\) | ||||
0.618078 | + | 0.786116i | \(0.287911\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.55008 | 0.178981 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −27.1295 | −1.89480 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.00545 | 0.553749 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.5430 | −1.13887 | −0.569433 | − | 0.822037i | \(-0.692837\pi\) | ||||
−0.569433 | + | 0.822037i | \(0.692837\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −22.6633 | −1.54563 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.63330 | −0.314529 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.82226 | 0.189845 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.5176 | 1.10610 | 0.553050 | − | 0.833148i | \(-0.313464\pi\) | ||||
0.553050 | + | 0.833148i | \(0.313464\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.83138 | 0.519787 | 0.259893 | − | 0.965637i | \(-0.416313\pi\) | ||||
0.259893 | + | 0.965637i | \(0.416313\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.70953 | 0.443378 | 0.221689 | − | 0.975117i | \(-0.428843\pi\) | ||||
0.221689 | + | 0.975117i | \(0.428843\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.8335 | 0.775236 | 0.387618 | − | 0.921820i | \(-0.373298\pi\) | ||||
0.387618 | + | 0.921820i | \(0.373298\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.79363 | −0.508400 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 26.6144 | 1.72154 | 0.860770 | − | 0.508994i | \(-0.169982\pi\) | ||||
0.860770 | + | 0.508994i | \(0.169982\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.09918 | −0.521714 | −0.260857 | − | 0.965377i | \(-0.584005\pi\) | ||||
−0.260857 | + | 0.965377i | \(0.584005\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.4097 | 0.920600 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.00545 | 0.509375 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.22678 | 0.393031 | 0.196515 | − | 0.980501i | \(-0.437037\pi\) | ||||
0.196515 | + | 0.980501i | \(0.437037\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.07750 | −0.256350 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −31.3741 | −1.95707 | −0.978533 | − | 0.206091i | \(-0.933926\pi\) | ||||
−0.978533 | + | 0.206091i | \(0.933926\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.57391 | −0.0977980 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 11.4508 | 0.706084 | 0.353042 | − | 0.935607i | \(-0.385147\pi\) | ||||
0.353042 | + | 0.935607i | \(0.385147\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.88391 | 0.607164 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 18.8833 | 1.15134 | 0.575669 | − | 0.817683i | \(-0.304742\pi\) | ||||
0.575669 | + | 0.817683i | \(0.304742\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 25.1408 | 1.52720 | 0.763598 | − | 0.645692i | \(-0.223431\pi\) | ||||
0.763598 | + | 0.645692i | \(0.223431\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.337115 | 0.0203288 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.08379 | 0.245371 | 0.122686 | − | 0.992446i | \(-0.460849\pi\) | ||||
0.122686 | + | 0.992446i | \(0.460849\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.4119 | 0.919397 | 0.459698 | − | 0.888075i | \(-0.347958\pi\) | ||||
0.459698 | + | 0.888075i | \(0.347958\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 32.6178 | 1.93893 | 0.969463 | − | 0.245238i | \(-0.0788661\pi\) | ||||
0.969463 | + | 0.245238i | \(0.0788661\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.18339 | 0.424022 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.03487 | −0.531463 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −16.3998 | −0.958089 | −0.479045 | − | 0.877790i | \(-0.659017\pi\) | ||||
−0.479045 | + | 0.877790i | \(0.659017\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −23.2954 | −1.35631 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −4.07750 | −0.235808 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.00084 | 0.345883 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.08068 | −0.119139 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.3286 | −0.817779 | −0.408889 | − | 0.912584i | \(-0.634084\pi\) | ||||
−0.408889 | + | 0.912584i | \(0.634084\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 19.2414 | 1.09108 | 0.545541 | − | 0.838084i | \(-0.316324\pi\) | ||||
0.545541 | + | 0.838084i | \(0.316324\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.35171 | 0.245973 | 0.122987 | − | 0.992408i | \(-0.460753\pi\) | ||||
0.122987 | + | 0.992408i | \(0.460753\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −15.8683 | −0.891255 | −0.445627 | − | 0.895219i | \(-0.647019\pi\) | ||||
−0.445627 | + | 0.895219i | \(0.647019\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.46004 | −0.249714 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 22.5934 | 1.25713 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.337115 | 0.0186998 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.06361 | 0.113771 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.0430 | 0.991734 | 0.495867 | − | 0.868399i | \(-0.334850\pi\) | ||||
0.495867 | + | 0.868399i | \(0.334850\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.93398 | −0.160300 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.74038 | −0.149278 | −0.0746391 | − | 0.997211i | \(-0.523780\pi\) | ||||
−0.0746391 | + | 0.997211i | \(0.523780\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.10355 | 0.438832 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.81775 | −0.422119 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 30.1981 | 1.62112 | 0.810559 | − | 0.585657i | \(-0.199163\pi\) | ||||
0.810559 | + | 0.585657i | \(0.199163\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.1511 | −0.703962 | −0.351981 | − | 0.936007i | \(-0.614492\pi\) | ||||
−0.351981 | + | 0.936007i | \(0.614492\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −19.4960 | −1.03767 | −0.518835 | − | 0.854874i | \(-0.673634\pi\) | ||||
−0.518835 | + | 0.854874i | \(0.673634\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.3378 | −0.867121 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 20.2048 | 1.06637 | 0.533183 | − | 0.846000i | \(-0.320996\pi\) | ||||
0.533183 | + | 0.846000i | \(0.320996\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 45.0873 | 2.37302 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.0981 | 0.685588 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.16762 | −0.113149 | −0.0565743 | − | 0.998398i | \(-0.518018\pi\) | ||||
−0.0565743 | + | 0.998398i | \(0.518018\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.61708 | −0.135872 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.65344 | −0.344502 | −0.172251 | − | 0.985053i | \(-0.555104\pi\) | ||||
−0.172251 | + | 0.985053i | \(0.555104\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.46004 | −0.229704 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 31.4982 | 1.61795 | 0.808977 | − | 0.587840i | \(-0.200021\pi\) | ||||
0.808977 | + | 0.587840i | \(0.200021\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.553088 | −0.0282615 | −0.0141307 | − | 0.999900i | \(-0.504498\pi\) | ||||
−0.0141307 | + | 0.999900i | \(0.504498\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.23465 | 0.0629234 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.26159 | −0.418879 | −0.209440 | − | 0.977822i | \(-0.567164\pi\) | ||||
−0.209440 | + | 0.977822i | \(0.567164\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.5077 | −0.581972 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 12.4271 | 0.625275 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.679848 | −0.0341206 | −0.0170603 | − | 0.999854i | \(-0.505431\pi\) | ||||
−0.0170603 | + | 0.999854i | \(0.505431\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.378361 | −0.0188945 | −0.00944723 | − | 0.999955i | \(-0.503007\pi\) | ||||
−0.00944723 | + | 0.999955i | \(0.503007\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.10355 | 0.403667 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.75274 | 0.136448 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.54649 | 0.175363 | 0.0876814 | − | 0.996149i | \(-0.472054\pi\) | ||||
0.0876814 | + | 0.996149i | \(0.472054\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.16819 | 0.303517 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.3162 | −0.850017 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.823510 | 0.0402311 | 0.0201155 | − | 0.999798i | \(-0.493597\pi\) | ||||
0.0201155 | + | 0.999798i | \(0.493597\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.84698 | −0.333701 | −0.166851 | − | 0.985982i | \(-0.553360\pi\) | ||||
−0.166851 | + | 0.985982i | \(0.553360\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.951426 | 0.0461509 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.550925 | 0.0266611 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.40956 | −0.356906 | −0.178453 | − | 0.983948i | \(-0.557109\pi\) | ||||
−0.178453 | + | 0.983948i | \(0.557109\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.1774 | −1.01772 | −0.508860 | − | 0.860849i | \(-0.669933\pi\) | ||||
−0.508860 | + | 0.860849i | \(0.669933\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −32.6422 | −1.56149 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −32.7862 | −1.56480 | −0.782401 | − | 0.622775i | \(-0.786005\pi\) | ||||
−0.782401 | + | 0.622775i | \(0.786005\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8.96382 | 0.425884 | 0.212942 | − | 0.977065i | \(-0.431695\pi\) | ||||
0.212942 | + | 0.977065i | \(0.431695\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.8807 | 0.563201 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −27.9476 | −1.31893 | −0.659464 | − | 0.751736i | \(-0.729217\pi\) | ||||
−0.659464 | + | 0.751736i | \(0.729217\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.5636 | −0.591596 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.23465 | 0.0578811 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −37.4179 | −1.75034 | −0.875168 | − | 0.483818i | \(-0.839250\pi\) | ||||
−0.875168 | + | 0.483818i | \(0.839250\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.15399 | −0.286620 | −0.143310 | − | 0.989678i | \(-0.545775\pi\) | ||||
−0.143310 | + | 0.989678i | \(0.545775\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.69684 | 0.311228 | 0.155614 | − | 0.987818i | \(-0.450264\pi\) | ||||
0.155614 | + | 0.987818i | \(0.450264\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 33.7716 | 1.56276 | 0.781381 | − | 0.624054i | \(-0.214516\pi\) | ||||
0.781381 | + | 0.624054i | \(0.214516\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.776863 | 0.0358722 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −10.4953 | −0.482576 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.69876 | 0.123828 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −30.5346 | −1.39516 | −0.697582 | − | 0.716505i | \(-0.745741\pi\) | ||||
−0.697582 | + | 0.716505i | \(0.745741\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.75274 | 0.125514 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −31.0986 | −1.41212 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.4531 | −1.10808 | −0.554039 | − | 0.832491i | \(-0.686914\pi\) | ||||
−0.554039 | + | 0.832491i | \(0.686914\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.79925 | 0.351975 | 0.175988 | − | 0.984392i | \(-0.443688\pi\) | ||||
0.175988 | + | 0.984392i | \(0.443688\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.5874 | −0.566907 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 4.32596 | 0.194046 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.7279 | −0.793609 | −0.396804 | − | 0.917903i | \(-0.629881\pi\) | ||||
−0.396804 | + | 0.917903i | \(0.629881\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.73089 | 0.121764 | 0.0608821 | − | 0.998145i | \(-0.480609\pi\) | ||||
0.0608821 | + | 0.998145i | \(0.480609\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.4201 | 0.686184 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.9965 | 0.531734 | 0.265867 | − | 0.964010i | \(-0.414342\pi\) | ||||
0.265867 | + | 0.964010i | \(0.414342\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.46815 | −0.153422 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.86350 | 0.170246 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.60921 | −0.158733 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.74913 | 0.208063 | 0.104032 | − | 0.994574i | \(-0.466826\pi\) | ||||
0.104032 | + | 0.994574i | \(0.466826\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.0210 | −0.875457 | −0.437729 | − | 0.899107i | \(-0.644217\pi\) | ||||
−0.437729 | + | 0.899107i | \(0.644217\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 22.8703 | 0.996246 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.37400 | −0.277130 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.5636 | −0.544190 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.9862 | 0.820847 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 6.67309 | 0.287430 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.5348 | −1.78572 | −0.892860 | − | 0.450335i | \(-0.851305\pi\) | ||||
−0.892860 | + | 0.450335i | \(0.851305\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −43.7669 | −1.87477 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.14016 | −0.0487496 | −0.0243748 | − | 0.999703i | \(-0.507760\pi\) | ||||
−0.0243748 | + | 0.999703i | \(0.507760\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.7047 | −1.52107 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.29047 | −0.139925 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 37.7211 | 1.59830 | 0.799148 | − | 0.601134i | \(-0.205284\pi\) | ||||
0.799148 | + | 0.601134i | \(0.205284\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.4953 | −0.443906 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 32.3209 | 1.36216 | 0.681082 | − | 0.732207i | \(-0.261510\pi\) | ||||
0.681082 | + | 0.732207i | \(0.261510\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 43.6758 | 1.83746 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −19.9313 | −0.835564 | −0.417782 | − | 0.908547i | \(-0.637192\pi\) | ||||
−0.417782 | + | 0.908547i | \(0.637192\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.2338 | 0.428269 | 0.214135 | − | 0.976804i | \(-0.431307\pi\) | ||||
0.214135 | + | 0.976804i | \(0.431307\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.37459 | −0.0573243 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.46485 | 0.102613 | 0.0513064 | − | 0.998683i | \(-0.483661\pi\) | ||||
0.0513064 | + | 0.998683i | \(0.483661\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.58500 | 0.190218 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.57722 | 0.189569 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 31.9584 | 1.31907 | 0.659533 | − | 0.751676i | \(-0.270754\pi\) | ||||
0.659533 | + | 0.751676i | \(0.270754\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 64.8726 | 2.67303 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.99394 | 0.0818814 | 0.0409407 | − | 0.999162i | \(-0.486965\pi\) | ||||
0.0409407 | + | 0.999162i | \(0.486965\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.48449 | 0.142850 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 40.8312 | 1.66832 | 0.834159 | − | 0.551524i | \(-0.185953\pi\) | ||||
0.834159 | + | 0.551524i | \(0.185953\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.6994 | 0.885136 | 0.442568 | − | 0.896735i | \(-0.354068\pi\) | ||||
0.442568 | + | 0.896735i | \(0.354068\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.15937 | −0.0877909 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.80717 | −0.154528 | −0.0772642 | − | 0.997011i | \(-0.524618\pi\) | ||||
−0.0772642 | + | 0.997011i | \(0.524618\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.60921 | −0.146013 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 38.8192 | 1.56789 | 0.783946 | − | 0.620829i | \(-0.213204\pi\) | ||||
0.783946 | + | 0.620829i | \(0.213204\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 43.3000 | 1.74319 | 0.871596 | − | 0.490224i | \(-0.163085\pi\) | ||||
0.871596 | + | 0.490224i | \(0.163085\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −46.2723 | −1.85984 | −0.929921 | − | 0.367760i | \(-0.880125\pi\) | ||||
−0.929921 | + | 0.367760i | \(0.880125\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.14580 | −0.126034 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.2008 | −0.928031 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.76892 | 0.309767 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.7943 | 1.10647 | 0.553236 | − | 0.833024i | \(-0.313393\pi\) | ||||
0.553236 | + | 0.833024i | \(0.313393\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 37.0900 | 1.47187 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.67309 | 0.264397 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −49.0927 | −1.93905 | −0.969523 | − | 0.245000i | \(-0.921212\pi\) | ||||
−0.969523 | + | 0.245000i | \(0.921212\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.7541 | −1.72549 | −0.862747 | − | 0.505635i | \(-0.831258\pi\) | ||||
−0.862747 | + | 0.505635i | \(0.831258\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 12.7322 | 0.500555 | 0.250278 | − | 0.968174i | \(-0.419478\pi\) | ||||
0.250278 | + | 0.968174i | \(0.419478\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.7880 | −0.423467 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −23.7499 | −0.929405 | −0.464703 | − | 0.885467i | \(-0.653839\pi\) | ||||
−0.464703 | + | 0.885467i | \(0.653839\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.4420 | 0.408005 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −37.6374 | −1.46615 | −0.733073 | − | 0.680150i | \(-0.761914\pi\) | ||||
−0.733073 | + | 0.680150i | \(0.761914\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.6102 | −0.412690 | −0.206345 | − | 0.978479i | \(-0.566157\pi\) | ||||
−0.206345 | + | 0.978479i | \(0.566157\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.88391 | 0.383282 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.1858 | 0.704158 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.963556 | −0.0371977 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.7426 | −0.876661 | −0.438331 | − | 0.898814i | \(-0.644430\pi\) | ||||
−0.438331 | + | 0.898814i | \(0.644430\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −4.57385 | −0.175787 | −0.0878937 | − | 0.996130i | \(-0.528014\pi\) | ||||
−0.0878937 | + | 0.996130i | \(0.528014\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.23435 | 0.316005 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −46.9411 | −1.79615 | −0.898075 | − | 0.439843i | \(-0.855034\pi\) | ||||
−0.898075 | + | 0.439843i | \(0.855034\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −32.6135 | −1.24610 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 4.57722 | 0.174378 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.4711 | −0.474424 | −0.237212 | − | 0.971458i | \(-0.576234\pi\) | ||||
−0.237212 | + | 0.971458i | \(0.576234\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.93816 | −0.263179 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −35.4577 | −1.34306 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.0770 | 0.947146 | 0.473573 | − | 0.880755i | \(-0.342964\pi\) | ||||
0.473573 | + | 0.880755i | \(0.342964\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.0369 | 0.831137 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −4.08295 | −0.153555 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 35.5561 | 1.33534 | 0.667669 | − | 0.744458i | \(-0.267292\pi\) | ||||
0.667669 | + | 0.744458i | \(0.267292\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −33.0422 | −1.23744 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.15937 | −0.0807559 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −17.9113 | −0.667979 | −0.333990 | − | 0.942577i | \(-0.608395\pi\) | ||||
−0.333990 | + | 0.942577i | \(0.608395\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.02299 | −0.0380980 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.50355 | −0.0558404 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 43.8561 | 1.62653 | 0.813266 | − | 0.581893i | \(-0.197688\pi\) | ||||
0.813266 | + | 0.581893i | \(0.197688\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −29.6205 | −1.09556 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.74975 | −0.138500 | −0.0692500 | − | 0.997599i | \(-0.522061\pi\) | ||||
−0.0692500 | + | 0.997599i | \(0.522061\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.35872 | −0.0500490 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.6665 | 0.649873 | 0.324936 | − | 0.945736i | \(-0.394657\pi\) | ||||
0.324936 | + | 0.945736i | \(0.394657\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 25.3176 | 0.928813 | 0.464406 | − | 0.885622i | \(-0.346268\pi\) | ||||
0.464406 | + | 0.885622i | \(0.346268\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −51.8190 | −1.89850 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.02721 | −0.183690 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.3921 | 1.18200 | 0.591002 | − | 0.806670i | \(-0.298733\pi\) | ||||
0.591002 | + | 0.806670i | \(0.298733\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 19.2391 | 0.700182 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.8397 | −1.26627 | −0.633135 | − | 0.774041i | \(-0.718232\pi\) | ||||
−0.633135 | + | 0.774041i | \(0.718232\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −37.0873 | −1.34441 | −0.672206 | − | 0.740364i | \(-0.734653\pi\) | ||||
−0.672206 | + | 0.740364i | \(0.734653\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.5887 | 0.419539 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −10.7880 | −0.389533 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.28238 | 0.154426 | 0.0772132 | − | 0.997015i | \(-0.475398\pi\) | ||||
0.0772132 | + | 0.997015i | \(0.475398\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −36.3602 | −1.30779 | −0.653893 | − | 0.756587i | \(-0.726865\pi\) | ||||
−0.653893 | + | 0.756587i | \(0.726865\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.73183 | 0.0981302 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −100.577 | −3.60355 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.56601 | −0.270733 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −35.7143 | −1.27470 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.5241 | −0.410789 | −0.205394 | − | 0.978679i | \(-0.565848\pi\) | ||||
−0.205394 | + | 0.978679i | \(0.565848\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −11.5646 | −0.411189 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.963556 | −0.0342169 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −33.5889 | −1.18978 | −0.594890 | − | 0.803807i | \(-0.702804\pi\) | ||||
−0.594890 | + | 0.803807i | \(0.702804\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.1861 | −0.360359 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.06572 | 0.214055 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.03427 | −0.177435 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 30.2200 | 1.06248 | 0.531239 | − | 0.847222i | \(-0.321727\pi\) | ||||
0.531239 | + | 0.847222i | \(0.321727\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −37.6846 | −1.32328 | −0.661642 | − | 0.749820i | \(-0.730140\pi\) | ||||
−0.661642 | + | 0.749820i | \(0.730140\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −25.2922 | −0.885947 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −84.0200 | −2.93949 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.98136 | 0.243651 | 0.121826 | − | 0.992552i | \(-0.461125\pi\) | ||||
0.121826 | + | 0.992552i | \(0.461125\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 48.7025 | 1.69766 | 0.848831 | − | 0.528664i | \(-0.177307\pi\) | ||||
0.848831 | + | 0.528664i | \(0.177307\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.22517 | −0.0773768 | −0.0386884 | − | 0.999251i | \(-0.512318\pi\) | ||||
−0.0386884 | + | 0.999251i | \(0.512318\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 30.5640 | 1.06153 | 0.530766 | − | 0.847519i | \(-0.321904\pi\) | ||||
0.530766 | + | 0.847519i | \(0.321904\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.8332 | 0.652530 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 39.3298 | 1.36107 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 41.2608 | 1.42448 | 0.712240 | − | 0.701936i | \(-0.247681\pi\) | ||||
0.712240 | + | 0.701936i | \(0.247681\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.10802 | −0.314070 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.15937 | −0.0742846 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.571762 | 0.0196460 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.2243 | −0.384763 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.35245 | 0.285982 | 0.142991 | − | 0.989724i | \(-0.454328\pi\) | ||||
0.142991 | + | 0.989724i | \(0.454328\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −23.6353 | −0.807365 | −0.403683 | − | 0.914899i | \(-0.632270\pi\) | ||||
−0.403683 | + | 0.914899i | \(0.632270\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 37.6529 | 1.28470 | 0.642350 | − | 0.766412i | \(-0.277960\pi\) | ||||
0.642350 | + | 0.766412i | \(0.277960\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 18.7537 | 0.638384 | 0.319192 | − | 0.947690i | \(-0.396588\pi\) | ||||
0.319192 | + | 0.947690i | \(0.396588\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.1534 | 0.651236 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.75496 | 0.195224 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.35872 | −0.0460384 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 6.58945 | 0.222764 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 45.3578 | 1.53162 | 0.765812 | − | 0.643064i | \(-0.222337\pi\) | ||||
0.765812 | + | 0.643064i | \(0.222337\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −1.37370 | −0.0462810 | −0.0231405 | − | 0.999732i | \(-0.507367\pi\) | ||||
−0.0231405 | + | 0.999732i | \(0.507367\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −45.7456 | −1.53946 | −0.769731 | − | 0.638368i | \(-0.779610\pi\) | ||||
−0.769731 | + | 0.638368i | \(0.779610\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 36.1835 | 1.21492 | 0.607462 | − | 0.794349i | \(-0.292188\pi\) | ||||
0.607462 | + | 0.794349i | \(0.292188\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.82076 | −0.329378 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −28.8934 | −0.966880 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −33.7547 | −1.12830 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −36.1422 | −1.20541 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9181 | 0.430363 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.37038 | −0.0787942 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 44.2643 | 1.46977 | 0.734886 | − | 0.678190i | \(-0.237235\pi\) | ||||
0.734886 | + | 0.678190i | \(0.237235\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 45.2601 | 1.49953 | 0.749766 | − | 0.661703i | \(-0.230166\pi\) | ||||
0.749766 | + | 0.661703i | \(0.230166\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.01908 | −0.265393 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.76486 | −0.0913039 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.6067 | −0.745725 | −0.372862 | − | 0.927887i | \(-0.621624\pi\) | ||||
−0.372862 | + | 0.927887i | \(0.621624\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −7.56601 | −0.249038 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.927989 | 0.0305121 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −36.2462 | −1.18920 | −0.594600 | − | 0.804021i | \(-0.702690\pi\) | ||||
−0.594600 | + | 0.804021i | \(0.702690\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 53.4211 | 1.75081 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.09430 | −0.199305 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 20.6755 | 0.675440 | 0.337720 | − | 0.941247i | \(-0.390344\pi\) | ||||
0.337720 | + | 0.941247i | \(0.390344\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −56.1354 | −1.82996 | −0.914980 | − | 0.403498i | \(-0.867794\pi\) | ||||
−0.914980 | + | 0.403498i | \(0.867794\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 51.2280 | 1.66821 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 46.7341 | 1.51865 | 0.759327 | − | 0.650709i | \(-0.225528\pi\) | ||||
0.759327 | + | 0.650709i | \(0.225528\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.06572 | 0.196902 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −0.598932 | −0.0194013 | −0.00970065 | − | 0.999953i | \(-0.503088\pi\) | ||||
−0.00970065 | + | 0.999953i | \(0.503088\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 36.0022 | 1.16500 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.63547 | 0.278854 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 34.6675 | 1.11831 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −39.5511 | −1.27320 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.5248 | 0.852981 | 0.426491 | − | 0.904492i | \(-0.359750\pi\) | ||||
0.426491 | + | 0.904492i | \(0.359750\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.59988 | −0.147617 | −0.0738085 | − | 0.997272i | \(-0.523515\pi\) | ||||
−0.0738085 | + | 0.997272i | \(0.523515\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.83710 | 0.0588946 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 36.1212 | 1.15562 | 0.577810 | − | 0.816172i | \(-0.303908\pi\) | ||||
0.577810 | + | 0.816172i | \(0.303908\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.50194 | 0.175843 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −47.3814 | −1.51123 | −0.755616 | − | 0.655015i | \(-0.772662\pi\) | ||||
−0.755616 | + | 0.655015i | \(0.772662\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −48.1378 | −1.53380 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 42.7948 | 1.36079 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.4322 | −0.649049 | −0.324525 | − | 0.945877i | \(-0.605204\pi\) | ||||
−0.324525 | + | 0.945877i | \(0.605204\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −37.6554 | −1.19376 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −33.0307 | −1.04609 | −0.523047 | − | 0.852304i | \(-0.675205\pi\) | ||||
−0.523047 | + | 0.852304i | \(0.675205\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(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 | 5148.2.a.t.1.1 | yes | 5 | |
3.2 | odd | 2 | 5148.2.a.s.1.5 | ✓ | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
5148.2.a.s.1.5 | ✓ | 5 | 3.2 | odd | 2 | ||
5148.2.a.t.1.1 | yes | 5 | 1.1 | even | 1 | trivial |