Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5796,2,Mod(1,5796)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5796, 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("5796.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5796 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5796.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: | \(46.2812930115\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.6963152.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 10x^{3} + 10x^{2} + 29x + 10 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 644) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Root | \(-2.25688\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5796.1 |
$q$-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 | ||||||||
\(5\) | 3.04771 | 1.36298 | 0.681489 | − | 0.731828i | \(-0.261333\pi\) | ||||
0.681489 | + | 0.731828i | \(0.261333\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.22523 | −1.57546 | −0.787732 | − | 0.616018i | \(-0.788745\pi\) | ||||
−0.787732 | + | 0.616018i | \(0.788745\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.38206 | 0.938016 | 0.469008 | − | 0.883194i | \(-0.344612\pi\) | ||||
0.469008 | + | 0.883194i | \(0.344612\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.63895 | 0.640039 | 0.320019 | − | 0.947411i | \(-0.396311\pi\) | ||||
0.320019 | + | 0.947411i | \(0.396311\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.39461 | 0.778777 | 0.389388 | − | 0.921074i | \(-0.372686\pi\) | ||||
0.389388 | + | 0.921074i | \(0.372686\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.00000 | 0.208514 | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.28854 | 0.857708 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.00190 | 0.743134 | 0.371567 | − | 0.928406i | \(-0.378821\pi\) | ||||
0.371567 | + | 0.928406i | \(0.378821\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.97185 | 1.25218 | 0.626091 | − | 0.779750i | \(-0.284654\pi\) | ||||
0.626091 | + | 0.779750i | \(0.284654\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.04771 | −0.515157 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.11916 | −0.841585 | −0.420792 | − | 0.907157i | \(-0.638248\pi\) | ||||
−0.420792 | + | 0.907157i | \(0.638248\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.89583 | 0.920774 | 0.460387 | − | 0.887718i | \(-0.347711\pi\) | ||||
0.460387 | + | 0.887718i | \(0.347711\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.90838 | −1.20602 | −0.603008 | − | 0.797735i | \(-0.706031\pi\) | ||||
−0.603008 | + | 0.797735i | \(0.706031\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.54893 | −1.39286 | −0.696428 | − | 0.717627i | \(-0.745228\pi\) | ||||
−0.696428 | + | 0.717627i | \(0.745228\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.8200 | 1.62360 | 0.811799 | − | 0.583937i | \(-0.198488\pi\) | ||||
0.811799 | + | 0.583937i | \(0.198488\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −15.9250 | −2.14732 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.51979 | −0.197860 | −0.0989299 | − | 0.995094i | \(-0.531542\pi\) | ||||
−0.0989299 | + | 0.995094i | \(0.531542\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.13934 | 0.145877 | 0.0729385 | − | 0.997336i | \(-0.476762\pi\) | ||||
0.0729385 | + | 0.997336i | \(0.476762\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.3076 | 1.27849 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.80688 | −1.07593 | −0.537966 | − | 0.842967i | \(-0.680807\pi\) | ||||
−0.537966 | + | 0.842967i | \(0.680807\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 14.5333 | 1.72479 | 0.862394 | − | 0.506237i | \(-0.168964\pi\) | ||||
0.862394 | + | 0.506237i | \(0.168964\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −13.2271 | −1.54812 | −0.774059 | − | 0.633114i | \(-0.781777\pi\) | ||||
−0.774059 | + | 0.633114i | \(0.781777\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.22523 | 0.595470 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.4398 | 1.62461 | 0.812303 | − | 0.583236i | \(-0.198214\pi\) | ||||
0.812303 | + | 0.583236i | \(0.198214\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.693795 | 0.0761538 | 0.0380769 | − | 0.999275i | \(-0.487877\pi\) | ||||
0.0380769 | + | 0.999275i | \(0.487877\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.04275 | 0.872359 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.8511 | −1.15021 | −0.575106 | − | 0.818079i | \(-0.695039\pi\) | ||||
−0.575106 | + | 0.818079i | \(0.695039\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.38206 | −0.354537 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.3458 | 1.06146 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.23476 | −0.328440 | −0.164220 | − | 0.986424i | \(-0.552511\pi\) | ||||
−0.164220 | + | 0.986424i | \(0.552511\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.32672 | 0.828540 | 0.414270 | − | 0.910154i | \(-0.364037\pi\) | ||||
0.414270 | + | 0.910154i | \(0.364037\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.418345 | 0.0412208 | 0.0206104 | − | 0.999788i | \(-0.493439\pi\) | ||||
0.0206104 | + | 0.999788i | \(0.493439\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.9084 | 1.15123 | 0.575613 | − | 0.817722i | \(-0.304763\pi\) | ||||
0.575613 | + | 0.817722i | \(0.304763\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.9154 | 1.71598 | 0.857992 | − | 0.513663i | \(-0.171712\pi\) | ||||
0.857992 | + | 0.513663i | \(0.171712\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.6375 | 1.18884 | 0.594418 | − | 0.804156i | \(-0.297383\pi\) | ||||
0.594418 | + | 0.804156i | \(0.297383\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.04771 | 0.284201 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.63895 | −0.241912 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.3030 | 1.48209 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.16832 | −0.193940 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.22333 | −0.286024 | −0.143012 | − | 0.989721i | \(-0.545679\pi\) | ||||
−0.143012 | + | 0.989721i | \(0.545679\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.0910 | 1.23114 | 0.615569 | − | 0.788083i | \(-0.288926\pi\) | ||||
0.615569 | + | 0.788083i | \(0.288926\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.39461 | −0.294350 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.67250 | −0.228327 | −0.114164 | − | 0.993462i | \(-0.536419\pi\) | ||||
−0.114164 | + | 0.993462i | \(0.536419\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.23315 | 0.528689 | 0.264344 | − | 0.964428i | \(-0.414844\pi\) | ||||
0.264344 | + | 0.964428i | \(0.414844\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −17.6721 | −1.47781 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 12.1966 | 1.01287 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.58165 | 0.457267 | 0.228633 | − | 0.973513i | \(-0.426574\pi\) | ||||
0.228633 | + | 0.973513i | \(0.426574\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.8325 | −0.962916 | −0.481458 | − | 0.876469i | \(-0.659893\pi\) | ||||
−0.481458 | + | 0.876469i | \(0.659893\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 21.2482 | 1.70670 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.3015 | 1.38081 | 0.690406 | − | 0.723422i | \(-0.257432\pi\) | ||||
0.690406 | + | 0.723422i | \(0.257432\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.00000 | −0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.3212 | 1.12172 | 0.560861 | − | 0.827910i | \(-0.310470\pi\) | ||||
0.560861 | + | 0.827910i | \(0.310470\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.28358 | −0.486238 | −0.243119 | − | 0.969996i | \(-0.578171\pi\) | ||||
−0.243119 | + | 0.969996i | \(0.578171\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.56164 | −0.120126 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.60539 | 0.198084 | 0.0990421 | − | 0.995083i | \(-0.468422\pi\) | ||||
0.0990421 | + | 0.995083i | \(0.468422\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.28854 | −0.324183 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −25.2341 | −1.88609 | −0.943044 | − | 0.332667i | \(-0.892051\pi\) | ||||
−0.943044 | + | 0.332667i | \(0.892051\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.36485 | −0.101448 | −0.0507242 | − | 0.998713i | \(-0.516153\pi\) | ||||
−0.0507242 | + | 0.998713i | \(0.516153\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −15.6017 | −1.14706 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.7891 | −1.00836 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 22.1467 | 1.60248 | 0.801239 | − | 0.598344i | \(-0.204174\pi\) | ||||
0.801239 | + | 0.598344i | \(0.204174\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.3653 | 1.32197 | 0.660983 | − | 0.750401i | \(-0.270139\pi\) | ||||
0.660983 | + | 0.750401i | \(0.270139\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.07831 | 0.0768261 | 0.0384131 | − | 0.999262i | \(-0.487770\pi\) | ||||
0.0384131 | + | 0.999262i | \(0.487770\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.55335 | −0.393666 | −0.196833 | − | 0.980437i | \(-0.563066\pi\) | ||||
−0.196833 | + | 0.980437i | \(0.563066\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.00190 | −0.280878 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.9688 | 1.25499 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −17.7376 | −1.22693 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.3543 | −1.33240 | −0.666201 | − | 0.745772i | \(-0.732081\pi\) | ||||
−0.666201 | + | 0.745772i | \(0.732081\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −24.1024 | −1.64377 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.97185 | −0.473280 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.92509 | 0.600367 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.69234 | −0.180293 | −0.0901464 | − | 0.995929i | \(-0.528733\pi\) | ||||
−0.0901464 | + | 0.995929i | \(0.528733\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.26663 | 0.548675 | 0.274338 | − | 0.961633i | \(-0.411541\pi\) | ||||
0.274338 | + | 0.961633i | \(0.411541\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.2369 | 1.73378 | 0.866891 | − | 0.498499i | \(-0.166115\pi\) | ||||
0.866891 | + | 0.498499i | \(0.166115\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.17735 | −0.0771310 | −0.0385655 | − | 0.999256i | \(-0.512279\pi\) | ||||
−0.0385655 | + | 0.999256i | \(0.512279\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −29.1024 | −1.89843 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.56911 | −0.360236 | −0.180118 | − | 0.983645i | \(-0.557648\pi\) | ||||
−0.180118 | + | 0.983645i | \(0.557648\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.12518 | 0.523389 | 0.261694 | − | 0.965151i | \(-0.415719\pi\) | ||||
0.261694 | + | 0.965151i | \(0.415719\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.04771 | 0.194711 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.4808 | 0.730505 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.78542 | −0.175814 | −0.0879071 | − | 0.996129i | \(-0.528018\pi\) | ||||
−0.0879071 | + | 0.996129i | \(0.528018\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.22523 | −0.328507 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 24.1150 | 1.50425 | 0.752126 | − | 0.659020i | \(-0.229029\pi\) | ||||
0.752126 | + | 0.659020i | \(0.229029\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.11916 | 0.318089 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.40905 | −0.210211 | −0.105106 | − | 0.994461i | \(-0.533518\pi\) | ||||
−0.105106 | + | 0.994461i | \(0.533518\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 36.0239 | 2.21293 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.29044 | −0.322564 | −0.161282 | − | 0.986908i | \(-0.551563\pi\) | ||||
−0.161282 | + | 0.986908i | \(0.551563\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.2206 | 0.985331 | 0.492666 | − | 0.870219i | \(-0.336023\pi\) | ||||
0.492666 | + | 0.870219i | \(0.336023\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −22.4086 | −1.35129 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −22.2211 | −1.33513 | −0.667567 | − | 0.744550i | \(-0.732664\pi\) | ||||
−0.667567 | + | 0.744550i | \(0.732664\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.74964 | 0.342995 | 0.171497 | − | 0.985185i | \(-0.445140\pi\) | ||||
0.171497 | + | 0.985185i | \(0.445140\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0108 | −0.832857 | −0.416428 | − | 0.909169i | \(-0.636718\pi\) | ||||
−0.416428 | + | 0.909169i | \(0.636718\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.89583 | −0.348020 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.0360 | −0.590350 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −15.7616 | −0.920801 | −0.460400 | − | 0.887711i | \(-0.652294\pi\) | ||||
−0.460400 | + | 0.887711i | \(0.652294\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.63188 | −0.269678 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.38206 | 0.195590 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.90838 | 0.455831 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.47237 | 0.198827 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.4944 | 0.656018 | 0.328009 | − | 0.944675i | \(-0.393622\pi\) | ||||
0.328009 | + | 0.944675i | \(0.393622\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.41105 | −0.250128 | −0.125064 | − | 0.992149i | \(-0.539914\pi\) | ||||
−0.125064 | + | 0.992149i | \(0.539914\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.20154 | −0.350532 | −0.175266 | − | 0.984521i | \(-0.556079\pi\) | ||||
−0.175266 | + | 0.984521i | \(0.556079\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 9.50769 | 0.534005 | 0.267003 | − | 0.963696i | \(-0.413967\pi\) | ||||
0.267003 | + | 0.963696i | \(0.413967\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −20.9108 | −1.17078 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.95819 | 0.498447 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 14.5041 | 0.804544 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.54893 | 0.526450 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0087 | 0.550130 | 0.275065 | − | 0.961426i | \(-0.411301\pi\) | ||||
0.275065 | + | 0.961426i | \(0.411301\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −26.8408 | −1.46647 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.5389 | 0.900929 | 0.450464 | − | 0.892794i | \(-0.351258\pi\) | ||||
0.450464 | + | 0.892794i | \(0.351258\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −36.4295 | −1.97277 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −34.8917 | −1.87308 | −0.936541 | − | 0.350558i | \(-0.885992\pi\) | ||||
−0.936541 | + | 0.350558i | \(0.885992\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.92337 | 0.370599 | 0.185300 | − | 0.982682i | \(-0.440674\pi\) | ||||
0.185300 | + | 0.982682i | \(0.440674\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −21.6050 | −1.14992 | −0.574959 | − | 0.818182i | \(-0.694982\pi\) | ||||
−0.574959 | + | 0.818182i | \(0.694982\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 44.2934 | 2.35085 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 26.2085 | 1.38323 | 0.691616 | − | 0.722265i | \(-0.256899\pi\) | ||||
0.691616 | + | 0.722265i | \(0.256899\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.47664 | −0.393507 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −40.3124 | −2.11005 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.5650 | 0.864688 | 0.432344 | − | 0.901709i | \(-0.357687\pi\) | ||||
0.432344 | + | 0.901709i | \(0.357687\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.8200 | −0.613662 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.6116 | 0.808340 | 0.404170 | − | 0.914684i | \(-0.367560\pi\) | ||||
0.404170 | + | 0.914684i | \(0.367560\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 13.5347 | 0.697071 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.80933 | −0.503871 | −0.251936 | − | 0.967744i | \(-0.581067\pi\) | ||||
−0.251936 | + | 0.967744i | \(0.581067\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 18.4925 | 0.944921 | 0.472461 | − | 0.881352i | \(-0.343366\pi\) | ||||
0.472461 | + | 0.881352i | \(0.343366\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.9250 | 0.811612 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.3030 | −0.573084 | −0.286542 | − | 0.958068i | \(-0.592506\pi\) | ||||
−0.286542 | + | 0.958068i | \(0.592506\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.63895 | 0.133457 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 44.0084 | 2.21430 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.20204 | −0.0603285 | −0.0301643 | − | 0.999545i | \(-0.509603\pi\) | ||||
−0.0301643 | + | 0.999545i | \(0.509603\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.01127 | 0.150376 | 0.0751878 | − | 0.997169i | \(-0.476044\pi\) | ||||
0.0751878 | + | 0.997169i | \(0.476044\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.5793 | 1.17457 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 26.7488 | 1.32589 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −33.4725 | −1.65511 | −0.827553 | − | 0.561387i | \(-0.810268\pi\) | ||||
−0.827553 | + | 0.561387i | \(0.810268\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.51979 | 0.0747839 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.11449 | 0.103796 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.40028 | 0.312674 | 0.156337 | − | 0.987704i | \(-0.450031\pi\) | ||||
0.156337 | + | 0.987704i | \(0.450031\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.01082 | −0.390423 | −0.195212 | − | 0.980761i | \(-0.562539\pi\) | ||||
−0.195212 | + | 0.980761i | \(0.562539\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 11.3172 | 0.548967 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.13934 | −0.0551363 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.6084 | 1.32985 | 0.664925 | − | 0.746910i | \(-0.268463\pi\) | ||||
0.664925 | + | 0.746910i | \(0.268463\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.8797 | −0.715074 | −0.357537 | − | 0.933899i | \(-0.616383\pi\) | ||||
−0.357537 | + | 0.933899i | \(0.616383\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.39461 | 0.162386 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −36.1931 | −1.72740 | −0.863702 | − | 0.504004i | \(-0.831860\pi\) | ||||
−0.863702 | + | 0.504004i | \(0.831860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.5546 | 0.501465 | 0.250733 | − | 0.968056i | \(-0.419329\pi\) | ||||
0.250733 | + | 0.968056i | \(0.419329\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −33.0710 | −1.56771 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −39.9560 | −1.88564 | −0.942821 | − | 0.333301i | \(-0.891838\pi\) | ||||
−0.942821 | + | 0.333301i | \(0.891838\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −30.8071 | −1.45065 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.3076 | −0.483226 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.1870 | 0.476530 | 0.238265 | − | 0.971200i | \(-0.423421\pi\) | ||||
0.238265 | + | 0.971200i | \(0.423421\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.70956 | 0.312495 | 0.156248 | − | 0.987718i | \(-0.450060\pi\) | ||||
0.156248 | + | 0.987718i | \(0.450060\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.6512 | 0.773848 | 0.386924 | − | 0.922112i | \(-0.373538\pi\) | ||||
0.386924 | + | 0.922112i | \(0.373538\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −39.1863 | −1.81332 | −0.906662 | − | 0.421857i | \(-0.861378\pi\) | ||||
−0.906662 | + | 0.421857i | \(0.861378\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.80688 | 0.406664 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 41.3230 | 1.90004 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 14.5579 | 0.667963 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 36.2704 | 1.65724 | 0.828619 | − | 0.559813i | \(-0.189127\pi\) | ||||
0.828619 | + | 0.559813i | \(0.189127\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.3133 | −0.789420 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.85861 | −0.447656 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.7517 | 1.07629 | 0.538146 | − | 0.842851i | \(-0.319125\pi\) | ||||
0.538146 | + | 0.842851i | \(0.319125\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.3752 | 1.00978 | 0.504889 | − | 0.863185i | \(-0.331534\pi\) | ||||
0.504889 | + | 0.863185i | \(0.331534\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.5608 | 0.475635 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.5333 | −0.651909 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.2296 | 0.726535 | 0.363268 | − | 0.931685i | \(-0.381661\pi\) | ||||
0.363268 | + | 0.931685i | \(0.381661\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.57708 | 0.114906 | 0.0574532 | − | 0.998348i | \(-0.481702\pi\) | ||||
0.0574532 | + | 0.998348i | \(0.481702\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.3774 | 1.12928 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −33.4091 | −1.48083 | −0.740417 | − | 0.672148i | \(-0.765372\pi\) | ||||
−0.740417 | + | 0.672148i | \(0.765372\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.2271 | 0.585134 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.27500 | 0.0561830 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 49.8953 | 2.19439 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.4303 | −0.544580 | −0.272290 | − | 0.962215i | \(-0.587781\pi\) | ||||
−0.272290 | + | 0.962215i | \(0.587781\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.05262 | 0.0460279 | 0.0230140 | − | 0.999735i | \(-0.492674\pi\) | ||||
0.0230140 | + | 0.999735i | \(0.492674\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 18.3984 | 0.801445 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 19.9401 | 0.863701 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 36.2933 | 1.56910 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.22523 | −0.225066 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.4265 | 1.26514 | 0.632572 | − | 0.774502i | \(-0.281999\pi\) | ||||
0.632572 | + | 0.774502i | \(0.281999\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 54.6009 | 2.33885 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −36.3851 | −1.55571 | −0.777857 | − | 0.628441i | \(-0.783693\pi\) | ||||
−0.777857 | + | 0.628441i | \(0.783693\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.5849 | 0.578735 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.4398 | −0.614043 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.2666 | 0.943467 | 0.471734 | − | 0.881741i | \(-0.343628\pi\) | ||||
0.471734 | + | 0.881741i | \(0.343628\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −26.7466 | −1.13126 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −22.0300 | −0.928453 | −0.464227 | − | 0.885717i | \(-0.653668\pi\) | ||||
−0.464227 | + | 0.885717i | \(0.653668\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 38.5154 | 1.62036 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −27.9918 | −1.17348 | −0.586738 | − | 0.809777i | \(-0.699588\pi\) | ||||
−0.586738 | + | 0.809777i | \(0.699588\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.7000 | 0.824421 | 0.412210 | − | 0.911089i | \(-0.364757\pi\) | ||||
0.412210 | + | 0.911089i | \(0.364757\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.28854 | 0.178845 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.9624 | 0.498000 | 0.249000 | − | 0.968503i | \(-0.419898\pi\) | ||||
0.249000 | + | 0.968503i | \(0.419898\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.693795 | −0.0287834 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −61.7620 | −2.55792 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 19.3278 | 0.797743 | 0.398872 | − | 0.917007i | \(-0.369402\pi\) | ||||
0.398872 | + | 0.917007i | \(0.369402\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 23.6667 | 0.975170 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.45045 | −0.347018 | −0.173509 | − | 0.984832i | \(-0.555511\pi\) | ||||
−0.173509 | + | 0.984832i | \(0.555511\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.04275 | −0.329721 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.56581 | −0.227413 | −0.113706 | − | 0.993514i | \(-0.536272\pi\) | ||||
−0.113706 | + | 0.993514i | \(0.536272\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.2258 | −0.743445 | −0.371722 | − | 0.928344i | \(-0.621233\pi\) | ||||
−0.371722 | + | 0.928344i | \(0.621233\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 49.6868 | 2.02005 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.3740 | 1.15166 | 0.575832 | − | 0.817568i | \(-0.304678\pi\) | ||||
0.575832 | + | 0.817568i | \(0.304678\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.2951 | −1.30652 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.8620 | 0.640660 | 0.320330 | − | 0.947306i | \(-0.396206\pi\) | ||||
0.320330 | + | 0.947306i | \(0.396206\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.9140 | 0.600417 | 0.300208 | − | 0.953874i | \(-0.402944\pi\) | ||||
0.300208 | + | 0.953874i | \(0.402944\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 32.3397 | 1.29984 | 0.649920 | − | 0.760002i | \(-0.274802\pi\) | ||||
0.649920 | + | 0.760002i | \(0.274802\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.8511 | 0.434739 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −28.0511 | −1.12204 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −13.5092 | −0.538647 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.3840 | −0.612426 | −0.306213 | − | 0.951963i | \(-0.599062\pi\) | ||||
−0.306213 | + | 0.951963i | \(0.599062\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −9.82377 | −0.389844 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.38206 | 0.134002 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −37.0193 | −1.46217 | −0.731087 | − | 0.682284i | \(-0.760987\pi\) | ||||
−0.731087 | + | 0.682284i | \(0.760987\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.7183 | 0.974796 | 0.487398 | − | 0.873180i | \(-0.337946\pi\) | ||||
0.487398 | + | 0.873180i | \(0.337946\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 20.3207 | 0.798887 | 0.399444 | − | 0.916758i | \(-0.369203\pi\) | ||||
0.399444 | + | 0.916758i | \(0.369203\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.94124 | 0.311721 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 13.7950 | 0.539839 | 0.269919 | − | 0.962883i | \(-0.413003\pi\) | ||||
0.269919 | + | 0.962883i | \(0.413003\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.9453 | 1.67801 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −39.4316 | −1.53604 | −0.768019 | − | 0.640427i | \(-0.778757\pi\) | ||||
−0.768019 | + | 0.640427i | \(0.778757\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 38.9211 | 1.51385 | 0.756927 | − | 0.653499i | \(-0.226700\pi\) | ||||
0.756927 | + | 0.653499i | \(0.226700\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.3458 | −0.401192 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.00190 | 0.154954 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.95329 | −0.229824 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −43.7150 | −1.68509 | −0.842544 | − | 0.538627i | \(-0.818943\pi\) | ||||
−0.842544 | + | 0.538627i | \(0.818943\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.6777 | −0.640977 | −0.320489 | − | 0.947252i | \(-0.603847\pi\) | ||||
−0.320489 | + | 0.947252i | \(0.603847\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.23476 | 0.124139 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −48.7312 | −1.86465 | −0.932324 | − | 0.361625i | \(-0.882222\pi\) | ||||
−0.932324 | + | 0.361625i | \(0.882222\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.14502 | −0.311205 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 39.9759 | 1.52296 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.7882 | −1.58970 | −0.794849 | − | 0.606807i | \(-0.792450\pi\) | ||||
−0.794849 | + | 0.606807i | \(0.792450\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 18.9968 | 0.720591 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.5588 | 0.589331 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 28.1499 | 1.06321 | 0.531604 | − | 0.846993i | \(-0.321590\pi\) | ||||
0.531604 | + | 0.846993i | \(0.321590\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.3775 | −0.655406 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.32672 | −0.313159 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 22.1680 | 0.832536 | 0.416268 | − | 0.909242i | \(-0.363338\pi\) | ||||
0.416268 | + | 0.909242i | \(0.363338\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 6.97185 | 0.261098 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −53.8593 | −2.01422 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.2623 | 0.830243 | 0.415122 | − | 0.909766i | \(-0.363739\pi\) | ||||
0.415122 | + | 0.909766i | \(0.363739\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.418345 | −0.0155800 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 17.1623 | 0.637392 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.6618 | −0.803392 | −0.401696 | − | 0.915773i | \(-0.631579\pi\) | ||||
−0.401696 | + | 0.915773i | \(0.631579\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −20.8698 | −0.771897 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.50596 | −0.166431 | −0.0832156 | − | 0.996532i | \(-0.526519\pi\) | ||||
−0.0832156 | + | 0.996532i | \(0.526519\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 46.0179 | 1.69509 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.7692 | −0.580079 | −0.290040 | − | 0.957015i | \(-0.593669\pi\) | ||||
−0.290040 | + | 0.957015i | \(0.593669\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.8619 | −1.13222 | −0.566108 | − | 0.824331i | \(-0.691551\pi\) | ||||
−0.566108 | + | 0.824331i | \(0.691551\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.0113 | 0.623245 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −11.9084 | −0.435123 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 38.1808 | 1.39324 | 0.696618 | − | 0.717442i | \(-0.254687\pi\) | ||||
0.696618 | + | 0.717442i | \(0.254687\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −36.0621 | −1.31243 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.6733 | −0.569655 | −0.284828 | − | 0.958579i | \(-0.591936\pi\) | ||||
−0.284828 | + | 0.958579i | \(0.591936\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −41.8363 | −1.51657 | −0.758283 | − | 0.651926i | \(-0.773961\pi\) | ||||
−0.758283 | + | 0.651926i | \(0.773961\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.9154 | −0.648581 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.14003 | −0.185596 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.39928 | 0.194703 | 0.0973515 | − | 0.995250i | \(-0.468963\pi\) | ||||
0.0973515 | + | 0.995250i | \(0.468963\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −37.1956 | −1.33783 | −0.668917 | − | 0.743337i | \(-0.733242\pi\) | ||||
−0.668917 | + | 0.743337i | \(0.733242\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.8991 | 1.07401 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 20.0140 | 0.717077 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −75.9399 | −2.71734 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 52.7301 | 1.88202 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.9942 | −1.38999 | −0.694997 | − | 0.719013i | \(-0.744594\pi\) | ||||
−0.694997 | + | 0.719013i | \(0.744594\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −12.6375 | −0.449338 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.85331 | 0.136835 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −25.8311 | −0.914986 | −0.457493 | − | 0.889213i | \(-0.651253\pi\) | ||||
−0.457493 | + | 0.889213i | \(0.651253\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.1991 | −0.891482 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 69.1147 | 2.43901 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.04771 | −0.107418 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −26.7612 | −0.940875 | −0.470437 | − | 0.882433i | \(-0.655904\pi\) | ||||
−0.470437 | + | 0.882433i | \(0.655904\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.3856 | 1.06698 | 0.533492 | − | 0.845805i | \(-0.320880\pi\) | ||||
0.533492 | + | 0.845805i | \(0.320880\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 43.6469 | 1.52888 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −26.8458 | −0.939217 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 16.5069 | 0.576095 | 0.288048 | − | 0.957616i | \(-0.406994\pi\) | ||||
0.288048 | + | 0.957616i | \(0.406994\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −19.9562 | −0.695631 | −0.347816 | − | 0.937563i | \(-0.613076\pi\) | ||||
−0.347816 | + | 0.937563i | \(0.613076\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.8443 | 1.28120 | 0.640601 | − | 0.767874i | \(-0.278685\pi\) | ||||
0.640601 | + | 0.767874i | \(0.278685\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.80916 | 0.201760 | 0.100880 | − | 0.994899i | \(-0.467834\pi\) | ||||
0.100880 | + | 0.994899i | \(0.467834\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.63895 | 0.0914341 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.1505 | −0.662732 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 12.2733 | 0.423722 | 0.211861 | − | 0.977300i | \(-0.432048\pi\) | ||||
0.211861 | + | 0.977300i | \(0.432048\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.9848 | −0.447752 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.75942 | −0.163729 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.3030 | −0.560177 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.11916 | −0.175483 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.2560 | −0.453878 | −0.226939 | − | 0.973909i | \(-0.572872\pi\) | ||||
−0.226939 | + | 0.973909i | \(0.572872\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 19.1066 | 0.652670 | 0.326335 | − | 0.945254i | \(-0.394186\pi\) | ||||
0.326335 | + | 0.945254i | \(0.394186\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −46.1878 | −1.57591 | −0.787953 | − | 0.615735i | \(-0.788859\pi\) | ||||
−0.787953 | + | 0.615735i | \(0.788859\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.5341 | −0.392625 | −0.196313 | − | 0.980541i | \(-0.562897\pi\) | ||||
−0.196313 | + | 0.980541i | \(0.562897\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.94048 | 0.269984 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −75.4512 | −2.55951 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −29.7854 | −1.00924 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.16832 | 0.0733026 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.9695 | −0.573020 | −0.286510 | − | 0.958077i | \(-0.592495\pi\) | ||||
−0.286510 | + | 0.958077i | \(0.592495\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.4505 | −0.385775 | −0.192888 | − | 0.981221i | \(-0.561785\pi\) | ||||
−0.192888 | + | 0.981221i | \(0.561785\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.3634 | 0.584325 | 0.292162 | − | 0.956369i | \(-0.405625\pi\) | ||||
0.292162 | + | 0.956369i | \(0.405625\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −22.7378 | −0.763460 | −0.381730 | − | 0.924274i | \(-0.624672\pi\) | ||||
−0.381730 | + | 0.924274i | \(0.624672\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.22333 | 0.108107 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −32.4149 | −1.08472 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −76.9064 | −2.57070 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 27.9006 | 0.930539 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.1923 | 1.03917 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.15966 | −0.138272 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −41.5359 | −1.37918 | −0.689588 | − | 0.724202i | \(-0.742208\pi\) | ||||
−0.689588 | + | 0.724202i | \(0.742208\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.92749 | −0.0969921 | −0.0484961 | − | 0.998823i | \(-0.515443\pi\) | ||||
−0.0484961 | + | 0.998823i | \(0.515443\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.62523 | −0.119978 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −14.0910 | −0.465326 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.9648 | 0.460658 | 0.230329 | − | 0.973113i | \(-0.426020\pi\) | ||||
0.230329 | + | 0.973113i | \(0.426020\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 49.1527 | 1.61788 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.9537 | −0.721834 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 23.3541 | 0.766222 | 0.383111 | − | 0.923702i | \(-0.374853\pi\) | ||||
0.383111 | + | 0.923702i | \(0.374853\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.39461 | 0.111254 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −42.0252 | −1.37437 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.1156 | 0.363130 | 0.181565 | − | 0.983379i | \(-0.441884\pi\) | ||||
0.181565 | + | 0.983379i | \(0.441884\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.13868 | −0.167516 | −0.0837580 | − | 0.996486i | \(-0.526692\pi\) | ||||
−0.0837580 | + | 0.996486i | \(0.526692\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.89583 | 0.191995 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −29.4147 | −0.955851 | −0.477925 | − | 0.878400i | \(-0.658611\pi\) | ||||
−0.477925 | + | 0.878400i | \(0.658611\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −44.7350 | −1.45216 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.67396 | 0.183797 | 0.0918987 | − | 0.995768i | \(-0.470706\pi\) | ||||
0.0918987 | + | 0.995768i | \(0.470706\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 67.4967 | 2.18414 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.67250 | 0.0862997 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.6067 | 0.567959 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 55.9723 | 1.80181 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.898731 | −0.0289013 | −0.0144506 | − | 0.999896i | \(-0.504600\pi\) | ||||
−0.0144506 | + | 0.999896i | \(0.504600\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −34.2084 | −1.09780 | −0.548899 | − | 0.835889i | \(-0.684953\pi\) | ||||
−0.548899 | + | 0.835889i | \(0.684953\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.23315 | −0.199825 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.19697 | −0.262244 | −0.131122 | − | 0.991366i | \(-0.541858\pi\) | ||||
−0.131122 | + | 0.991366i | \(0.541858\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 56.6994 | 1.81212 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.12997 | 0.0360406 | 0.0180203 | − | 0.999838i | \(-0.494264\pi\) | ||||
0.0180203 | + | 0.999838i | \(0.494264\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.28637 | 0.104712 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.90838 | −0.251472 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.6766 | 0.466218 | 0.233109 | − | 0.972451i | \(-0.425110\pi\) | ||||
0.233109 | + | 0.972451i | \(0.425110\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.9250 | −0.536558 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.64207 | −0.0520049 | −0.0260024 | − | 0.999662i | \(-0.508278\pi\) | ||||
−0.0260024 | + | 0.999662i | \(0.508278\pi\) | |||||||
\(998\) | 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 | 5796.2.a.t.1.4 | 5 | ||
3.2 | odd | 2 | 644.2.a.d.1.5 | ✓ | 5 | ||
12.11 | even | 2 | 2576.2.a.bb.1.1 | 5 | |||
21.20 | even | 2 | 4508.2.a.f.1.1 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.a.d.1.5 | ✓ | 5 | 3.2 | odd | 2 | ||
2576.2.a.bb.1.1 | 5 | 12.11 | even | 2 | |||
4508.2.a.f.1.1 | 5 | 21.20 | even | 2 | |||
5796.2.a.t.1.4 | 5 | 1.1 | even | 1 | trivial |