Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(51,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.51");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.519027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.5089536.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 16x^{2} - 24x + 18 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 51.3 | ||
Root | \(-1.33641 - 1.33641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.51 |
Dual form | 65.2.c.a.51.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.571993i | − | 0.404460i | −0.979338 | − | 0.202230i | \(-0.935181\pi\) | ||
0.979338 | − | 0.202230i | \(-0.0648189\pi\) | |||||||
\(3\) | −0.428007 | −0.247110 | −0.123555 | − | 0.992338i | \(-0.539430\pi\) | ||||
−0.123555 | + | 0.992338i | \(0.539430\pi\) | |||||||
\(4\) | 1.67282 | 0.836412 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0.244817i | 0.0999461i | ||||||||
\(7\) | − | 2.67282i | − | 1.01023i | −0.863051 | − | 0.505116i | \(-0.831450\pi\) | ||
0.863051 | − | 0.505116i | \(-0.168550\pi\) | |||||||
\(8\) | − | 2.10083i | − | 0.742756i | ||||||
\(9\) | −2.81681 | −0.938937 | ||||||||
\(10\) | 0.571993 | 0.180880 | ||||||||
\(11\) | 5.10083i | 1.53796i | 0.639274 | + | 0.768979i | \(0.279235\pi\) | ||||
−0.639274 | + | 0.768979i | \(0.720765\pi\) | |||||||
\(12\) | −0.715980 | −0.206686 | ||||||||
\(13\) | −1.57199 | + | 3.24482i | −0.435992 | + | 0.899950i | ||||
\(14\) | −1.52884 | −0.408599 | ||||||||
\(15\) | − | 0.428007i | − | 0.110511i | ||||||
\(16\) | 2.14399 | 0.535997 | ||||||||
\(17\) | −5.34565 | −1.29651 | −0.648255 | − | 0.761423i | \(-0.724501\pi\) | ||||
−0.648255 | + | 0.761423i | \(0.724501\pi\) | |||||||
\(18\) | 1.61120i | 0.379763i | ||||||||
\(19\) | − | 6.24482i | − | 1.43266i | −0.697762 | − | 0.716330i | \(-0.745821\pi\) | ||
0.697762 | − | 0.716330i | \(-0.254179\pi\) | |||||||
\(20\) | 1.67282i | 0.374055i | ||||||||
\(21\) | 1.14399i | 0.249638i | ||||||||
\(22\) | 2.91764 | 0.622043 | ||||||||
\(23\) | 2.42801 | 0.506274 | 0.253137 | − | 0.967430i | \(-0.418538\pi\) | ||||
0.253137 | + | 0.967430i | \(0.418538\pi\) | |||||||
\(24\) | 0.899170i | 0.183542i | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 1.85601 | + | 0.899170i | 0.363994 | + | 0.176342i | ||||
\(27\) | 2.48963 | 0.479130 | ||||||||
\(28\) | − | 4.47116i | − | 0.844970i | ||||||
\(29\) | 2.67282 | 0.496331 | 0.248165 | − | 0.968718i | \(-0.420172\pi\) | ||||
0.248165 | + | 0.968718i | \(0.420172\pi\) | |||||||
\(30\) | −0.244817 | −0.0446973 | ||||||||
\(31\) | 0.244817i | 0.0439704i | 0.999758 | + | 0.0219852i | \(0.00699867\pi\) | ||||
−0.999758 | + | 0.0219852i | \(0.993001\pi\) | |||||||
\(32\) | − | 5.42801i | − | 0.959545i | ||||||
\(33\) | − | 2.18319i | − | 0.380045i | ||||||
\(34\) | 3.05767i | 0.524387i | ||||||||
\(35\) | 2.67282 | 0.451790 | ||||||||
\(36\) | −4.71203 | −0.785338 | ||||||||
\(37\) | 3.32718i | 0.546984i | 0.961874 | + | 0.273492i | \(0.0881788\pi\) | ||||
−0.961874 | + | 0.273492i | \(0.911821\pi\) | |||||||
\(38\) | −3.57199 | −0.579454 | ||||||||
\(39\) | 0.672824 | − | 1.38880i | 0.107738 | − | 0.222387i | ||||
\(40\) | 2.10083 | 0.332170 | ||||||||
\(41\) | − | 6.48963i | − | 1.01351i | −0.862090 | − | 0.506755i | \(-0.830845\pi\) | ||
0.862090 | − | 0.506755i | \(-0.169155\pi\) | |||||||
\(42\) | 0.654353 | 0.100969 | ||||||||
\(43\) | 10.9176 | 1.66492 | 0.832462 | − | 0.554082i | \(-0.186930\pi\) | ||||
0.832462 | + | 0.554082i | \(0.186930\pi\) | |||||||
\(44\) | 8.53279i | 1.28637i | ||||||||
\(45\) | − | 2.81681i | − | 0.419905i | ||||||
\(46\) | − | 1.38880i | − | 0.204768i | ||||||
\(47\) | 2.67282i | 0.389871i | 0.980816 | + | 0.194936i | \(0.0624498\pi\) | ||||
−0.980816 | + | 0.194936i | \(0.937550\pi\) | |||||||
\(48\) | −0.917641 | −0.132450 | ||||||||
\(49\) | −0.143987 | −0.0205695 | ||||||||
\(50\) | 0.571993i | 0.0808921i | ||||||||
\(51\) | 2.28797 | 0.320380 | ||||||||
\(52\) | −2.62967 | + | 5.42801i | −0.364669 | + | 0.752729i | ||||
\(53\) | −4.20166 | −0.577143 | −0.288571 | − | 0.957458i | \(-0.593180\pi\) | ||||
−0.288571 | + | 0.957458i | \(0.593180\pi\) | |||||||
\(54\) | − | 1.42405i | − | 0.193789i | ||||||
\(55\) | −5.10083 | −0.687796 | ||||||||
\(56\) | −5.61515 | −0.750356 | ||||||||
\(57\) | 2.67282i | 0.354024i | ||||||||
\(58\) | − | 1.52884i | − | 0.200746i | ||||||
\(59\) | − | 0.899170i | − | 0.117062i | −0.998286 | − | 0.0585310i | \(-0.981358\pi\) | ||
0.998286 | − | 0.0585310i | \(-0.0186416\pi\) | |||||||
\(60\) | − | 0.715980i | − | 0.0924326i | ||||||
\(61\) | −5.81681 | −0.744766 | −0.372383 | − | 0.928079i | \(-0.621459\pi\) | ||||
−0.372383 | + | 0.928079i | \(0.621459\pi\) | |||||||
\(62\) | 0.140034 | 0.0177843 | ||||||||
\(63\) | 7.52884i | 0.948544i | ||||||||
\(64\) | 1.18319 | 0.147899 | ||||||||
\(65\) | −3.24482 | − | 1.57199i | −0.402470 | − | 0.194982i | ||||
\(66\) | −1.24877 | −0.153713 | ||||||||
\(67\) | − | 2.18319i | − | 0.266719i | −0.991068 | − | 0.133360i | \(-0.957423\pi\) | ||
0.991068 | − | 0.133360i | \(-0.0425765\pi\) | |||||||
\(68\) | −8.94233 | −1.08442 | ||||||||
\(69\) | −1.03920 | −0.125105 | ||||||||
\(70\) | − | 1.52884i | − | 0.182731i | ||||||
\(71\) | − | 6.24482i | − | 0.741123i | −0.928808 | − | 0.370562i | \(-0.879165\pi\) | ||
0.928808 | − | 0.370562i | \(-0.120835\pi\) | |||||||
\(72\) | 5.91764i | 0.697401i | ||||||||
\(73\) | 10.9608i | 1.28286i | 0.767180 | + | 0.641432i | \(0.221659\pi\) | ||||
−0.767180 | + | 0.641432i | \(0.778341\pi\) | |||||||
\(74\) | 1.90312 | 0.221233 | ||||||||
\(75\) | 0.428007 | 0.0494220 | ||||||||
\(76\) | − | 10.4465i | − | 1.19829i | ||||||
\(77\) | 13.6336 | 1.55370 | ||||||||
\(78\) | −0.794386 | − | 0.384851i | −0.0899465 | − | 0.0435758i | ||||
\(79\) | −3.63362 | −0.408814 | −0.204407 | − | 0.978886i | \(-0.565527\pi\) | ||||
−0.204407 | + | 0.978886i | \(0.565527\pi\) | |||||||
\(80\) | 2.14399i | 0.239705i | ||||||||
\(81\) | 7.38485 | 0.820539 | ||||||||
\(82\) | −3.71203 | −0.409925 | ||||||||
\(83\) | − | 9.81681i | − | 1.07753i | −0.842455 | − | 0.538767i | \(-0.818890\pi\) | ||
0.842455 | − | 0.538767i | \(-0.181110\pi\) | |||||||
\(84\) | 1.91369i | 0.208800i | ||||||||
\(85\) | − | 5.34565i | − | 0.579817i | ||||||
\(86\) | − | 6.24482i | − | 0.673396i | ||||||
\(87\) | −1.14399 | −0.122648 | ||||||||
\(88\) | 10.7160 | 1.14233 | ||||||||
\(89\) | 7.63362i | 0.809162i | 0.914502 | + | 0.404581i | \(0.132583\pi\) | ||||
−0.914502 | + | 0.404581i | \(0.867417\pi\) | |||||||
\(90\) | −1.61120 | −0.169835 | ||||||||
\(91\) | 8.67282 | + | 4.20166i | 0.909159 | + | 0.440454i | ||||
\(92\) | 4.06163 | 0.423454 | ||||||||
\(93\) | − | 0.104783i | − | 0.0108655i | ||||||
\(94\) | 1.52884 | 0.157688 | ||||||||
\(95\) | 6.24482 | 0.640705 | ||||||||
\(96\) | 2.32322i | 0.237113i | ||||||||
\(97\) | 11.3456i | 1.15198i | 0.817458 | + | 0.575988i | \(0.195383\pi\) | ||||
−0.817458 | + | 0.575988i | \(0.804617\pi\) | |||||||
\(98\) | 0.0823593i | 0.00831955i | ||||||||
\(99\) | − | 14.3681i | − | 1.44405i | ||||||
\(100\) | −1.67282 | −0.167282 | ||||||||
\(101\) | −10.8560 | −1.08021 | −0.540107 | − | 0.841596i | \(-0.681616\pi\) | ||||
−0.540107 | + | 0.841596i | \(0.681616\pi\) | |||||||
\(102\) | − | 1.30871i | − | 0.129581i | ||||||
\(103\) | −10.6297 | −1.04737 | −0.523686 | − | 0.851911i | \(-0.675444\pi\) | ||||
−0.523686 | + | 0.851911i | \(0.675444\pi\) | |||||||
\(104\) | 6.81681 | + | 3.30249i | 0.668443 | + | 0.323836i | ||||
\(105\) | −1.14399 | −0.111642 | ||||||||
\(106\) | 2.40332i | 0.233431i | ||||||||
\(107\) | 0.140034 | 0.0135376 | 0.00676878 | − | 0.999977i | \(-0.497845\pi\) | ||||
0.00676878 | + | 0.999977i | \(0.497845\pi\) | |||||||
\(108\) | 4.16472 | 0.400750 | ||||||||
\(109\) | − | 9.05767i | − | 0.867568i | −0.901017 | − | 0.433784i | \(-0.857178\pi\) | ||
0.901017 | − | 0.433784i | \(-0.142822\pi\) | |||||||
\(110\) | 2.91764i | 0.278186i | ||||||||
\(111\) | − | 1.42405i | − | 0.135165i | ||||||
\(112\) | − | 5.73050i | − | 0.541481i | ||||||
\(113\) | 12.9793 | 1.22099 | 0.610493 | − | 0.792021i | \(-0.290971\pi\) | ||||
0.610493 | + | 0.792021i | \(0.290971\pi\) | |||||||
\(114\) | 1.52884 | 0.143189 | ||||||||
\(115\) | 2.42801i | 0.226413i | ||||||||
\(116\) | 4.47116 | 0.415137 | ||||||||
\(117\) | 4.42801 | − | 9.14003i | 0.409369 | − | 0.844996i | ||||
\(118\) | −0.514319 | −0.0473469 | ||||||||
\(119\) | 14.2880i | 1.30978i | ||||||||
\(120\) | −0.899170 | −0.0820826 | ||||||||
\(121\) | −15.0185 | −1.36532 | ||||||||
\(122\) | 3.32718i | 0.301228i | ||||||||
\(123\) | 2.77761i | 0.250448i | ||||||||
\(124\) | 0.409536i | 0.0367774i | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 4.30644 | 0.383649 | ||||||||
\(127\) | −12.0616 | −1.07030 | −0.535148 | − | 0.844758i | \(-0.679744\pi\) | ||||
−0.535148 | + | 0.844758i | \(0.679744\pi\) | |||||||
\(128\) | − | 11.5328i | − | 1.01936i | ||||||
\(129\) | −4.67282 | −0.411419 | ||||||||
\(130\) | −0.899170 | + | 1.85601i | −0.0788624 | + | 0.162783i | ||||
\(131\) | 7.63362 | 0.666953 | 0.333476 | − | 0.942758i | \(-0.391778\pi\) | ||||
0.333476 | + | 0.942758i | \(0.391778\pi\) | |||||||
\(132\) | − | 3.65209i | − | 0.317874i | ||||||
\(133\) | −16.6913 | −1.44732 | ||||||||
\(134\) | −1.24877 | −0.107877 | ||||||||
\(135\) | 2.48963i | 0.214274i | ||||||||
\(136\) | 11.2303i | 0.962990i | ||||||||
\(137\) | − | 3.43196i | − | 0.293212i | −0.989195 | − | 0.146606i | \(-0.953165\pi\) | ||
0.989195 | − | 0.146606i | \(-0.0468350\pi\) | |||||||
\(138\) | 0.594417i | 0.0506002i | ||||||||
\(139\) | −0.942326 | −0.0799270 | −0.0399635 | − | 0.999201i | \(-0.512724\pi\) | ||||
−0.0399635 | + | 0.999201i | \(0.512724\pi\) | |||||||
\(140\) | 4.47116 | 0.377882 | ||||||||
\(141\) | − | 1.14399i | − | 0.0963410i | ||||||
\(142\) | −3.57199 | −0.299755 | ||||||||
\(143\) | −16.5513 | − | 8.01847i | −1.38409 | − | 0.670538i | ||||
\(144\) | −6.03920 | −0.503267 | ||||||||
\(145\) | 2.67282i | 0.221966i | ||||||||
\(146\) | 6.26950 | 0.518868 | ||||||||
\(147\) | 0.0616272 | 0.00508293 | ||||||||
\(148\) | 5.56578i | 0.457504i | ||||||||
\(149\) | 11.3456i | 0.929472i | 0.885449 | + | 0.464736i | \(0.153851\pi\) | ||||
−0.885449 | + | 0.464736i | \(0.846149\pi\) | |||||||
\(150\) | − | 0.244817i | − | 0.0199892i | ||||||
\(151\) | 21.0224i | 1.71078i | 0.517984 | + | 0.855390i | \(0.326683\pi\) | ||||
−0.517984 | + | 0.855390i | \(0.673317\pi\) | |||||||
\(152\) | −13.1193 | −1.06412 | ||||||||
\(153\) | 15.0577 | 1.21734 | ||||||||
\(154\) | − | 7.79834i | − | 0.628408i | ||||||
\(155\) | −0.244817 | −0.0196642 | ||||||||
\(156\) | 1.12552 | − | 2.32322i | 0.0901134 | − | 0.186007i | ||||
\(157\) | −9.83528 | −0.784941 | −0.392470 | − | 0.919765i | \(-0.628379\pi\) | ||||
−0.392470 | + | 0.919765i | \(0.628379\pi\) | |||||||
\(158\) | 2.07841i | 0.165349i | ||||||||
\(159\) | 1.79834 | 0.142618 | ||||||||
\(160\) | 5.42801 | 0.429122 | ||||||||
\(161\) | − | 6.48963i | − | 0.511455i | ||||||
\(162\) | − | 4.22408i | − | 0.331875i | ||||||
\(163\) | 12.3849i | 0.970056i | 0.874499 | + | 0.485028i | \(0.161191\pi\) | ||||
−0.874499 | + | 0.485028i | \(0.838809\pi\) | |||||||
\(164\) | − | 10.8560i | − | 0.847712i | ||||||
\(165\) | 2.18319 | 0.169961 | ||||||||
\(166\) | −5.61515 | −0.435820 | ||||||||
\(167\) | − | 8.50811i | − | 0.658377i | −0.944264 | − | 0.329188i | \(-0.893225\pi\) | ||
0.944264 | − | 0.329188i | \(-0.106775\pi\) | |||||||
\(168\) | 2.40332 | 0.185420 | ||||||||
\(169\) | −8.05767 | − | 10.2017i | −0.619821 | − | 0.784743i | ||||
\(170\) | −3.05767 | −0.234513 | ||||||||
\(171\) | 17.5905i | 1.34518i | ||||||||
\(172\) | 18.2633 | 1.39256 | ||||||||
\(173\) | 21.5473 | 1.63821 | 0.819106 | − | 0.573643i | \(-0.194470\pi\) | ||||
0.819106 | + | 0.573643i | \(0.194470\pi\) | |||||||
\(174\) | 0.654353i | 0.0496063i | ||||||||
\(175\) | 2.67282i | 0.202046i | ||||||||
\(176\) | 10.9361i | 0.824340i | ||||||||
\(177\) | 0.384851i | 0.0289271i | ||||||||
\(178\) | 4.36638 | 0.327274 | ||||||||
\(179\) | −2.56804 | −0.191944 | −0.0959722 | − | 0.995384i | \(-0.530596\pi\) | ||||
−0.0959722 | + | 0.995384i | \(0.530596\pi\) | |||||||
\(180\) | − | 4.71203i | − | 0.351214i | ||||||
\(181\) | 13.7305 | 1.02058 | 0.510290 | − | 0.860002i | \(-0.329538\pi\) | ||||
0.510290 | + | 0.860002i | \(0.329538\pi\) | |||||||
\(182\) | 2.40332 | − | 4.96080i | 0.178146 | − | 0.367719i | ||||
\(183\) | 2.48963 | 0.184039 | ||||||||
\(184\) | − | 5.10083i | − | 0.376038i | ||||||
\(185\) | −3.32718 | −0.244619 | ||||||||
\(186\) | −0.0599353 | −0.00439467 | ||||||||
\(187\) | − | 27.2672i | − | 1.99398i | ||||||
\(188\) | 4.47116i | 0.326093i | ||||||||
\(189\) | − | 6.65435i | − | 0.484033i | ||||||
\(190\) | − | 3.57199i | − | 0.259140i | ||||||
\(191\) | −10.6913 | −0.773595 | −0.386797 | − | 0.922165i | \(-0.626419\pi\) | ||||
−0.386797 | + | 0.922165i | \(0.626419\pi\) | |||||||
\(192\) | −0.506413 | −0.0365472 | ||||||||
\(193\) | − | 19.2593i | − | 1.38632i | −0.720785 | − | 0.693159i | \(-0.756219\pi\) | ||
0.720785 | − | 0.693159i | \(-0.243781\pi\) | |||||||
\(194\) | 6.48963 | 0.465929 | ||||||||
\(195\) | 1.38880 | + | 0.672824i | 0.0994543 | + | 0.0481819i | ||||
\(196\) | −0.240864 | −0.0172046 | ||||||||
\(197\) | 17.1809i | 1.22409i | 0.790823 | + | 0.612045i | \(0.209653\pi\) | ||||
−0.790823 | + | 0.612045i | \(0.790347\pi\) | |||||||
\(198\) | −8.21844 | −0.584059 | ||||||||
\(199\) | −11.5473 | −0.818567 | −0.409283 | − | 0.912407i | \(-0.634221\pi\) | ||||
−0.409283 | + | 0.912407i | \(0.634221\pi\) | |||||||
\(200\) | 2.10083i | 0.148551i | ||||||||
\(201\) | 0.934420i | 0.0659089i | ||||||||
\(202\) | 6.20957i | 0.436904i | ||||||||
\(203\) | − | 7.14399i | − | 0.501410i | ||||||
\(204\) | 3.82738 | 0.267970 | ||||||||
\(205\) | 6.48963 | 0.453256 | ||||||||
\(206\) | 6.08010i | 0.423621i | ||||||||
\(207\) | −6.83923 | −0.475360 | ||||||||
\(208\) | −3.37033 | + | 6.95684i | −0.233691 | + | 0.482370i | ||||
\(209\) | 31.8538 | 2.20337 | ||||||||
\(210\) | 0.654353i | 0.0451546i | ||||||||
\(211\) | 24.1233 | 1.66071 | 0.830357 | − | 0.557232i | \(-0.188137\pi\) | ||||
0.830357 | + | 0.557232i | \(0.188137\pi\) | |||||||
\(212\) | −7.02864 | −0.482729 | ||||||||
\(213\) | 2.67282i | 0.183139i | ||||||||
\(214\) | − | 0.0800983i | − | 0.00547541i | ||||||
\(215\) | 10.9176i | 0.744577i | ||||||||
\(216\) | − | 5.23030i | − | 0.355877i | ||||||
\(217\) | 0.654353 | 0.0444203 | ||||||||
\(218\) | −5.18093 | −0.350897 | ||||||||
\(219\) | − | 4.69129i | − | 0.317008i | ||||||
\(220\) | −8.53279 | −0.575281 | ||||||||
\(221\) | 8.40332 | − | 17.3456i | 0.565269 | − | 1.16679i | ||||
\(222\) | −0.814549 | −0.0546690 | ||||||||
\(223\) | − | 5.73050i | − | 0.383743i | −0.981420 | − | 0.191871i | \(-0.938544\pi\) | ||
0.981420 | − | 0.191871i | \(-0.0614556\pi\) | |||||||
\(224\) | −14.5081 | −0.969364 | ||||||||
\(225\) | 2.81681 | 0.187787 | ||||||||
\(226\) | − | 7.42405i | − | 0.493841i | ||||||
\(227\) | − | 2.95289i | − | 0.195990i | −0.995187 | − | 0.0979951i | \(-0.968757\pi\) | ||
0.995187 | − | 0.0979951i | \(-0.0312430\pi\) | |||||||
\(228\) | 4.47116i | 0.296110i | ||||||||
\(229\) | 25.2593i | 1.66918i | 0.550869 | + | 0.834592i | \(0.314297\pi\) | ||||
−0.550869 | + | 0.834592i | \(0.685703\pi\) | |||||||
\(230\) | 1.38880 | 0.0915750 | ||||||||
\(231\) | −5.83528 | −0.383933 | ||||||||
\(232\) | − | 5.61515i | − | 0.368653i | ||||||
\(233\) | −23.3456 | −1.52942 | −0.764712 | − | 0.644372i | \(-0.777119\pi\) | ||||
−0.764712 | + | 0.644372i | \(0.777119\pi\) | |||||||
\(234\) | −5.22804 | − | 2.53279i | −0.341768 | − | 0.165574i | ||||
\(235\) | −2.67282 | −0.174356 | ||||||||
\(236\) | − | 1.50415i | − | 0.0979120i | ||||||
\(237\) | 1.55521 | 0.101022 | ||||||||
\(238\) | 8.17262 | 0.529753 | ||||||||
\(239\) | 3.79213i | 0.245292i | 0.992450 | + | 0.122646i | \(0.0391380\pi\) | ||||
−0.992450 | + | 0.122646i | \(0.960862\pi\) | |||||||
\(240\) | − | 0.917641i | − | 0.0592335i | ||||||
\(241\) | − | 3.43196i | − | 0.221072i | −0.993872 | − | 0.110536i | \(-0.964743\pi\) | ||
0.993872 | − | 0.110536i | \(-0.0352567\pi\) | |||||||
\(242\) | 8.59046i | 0.552216i | ||||||||
\(243\) | −10.6297 | −0.681893 | ||||||||
\(244\) | −9.73050 | −0.622931 | ||||||||
\(245\) | − | 0.143987i | − | 0.00919896i | ||||||
\(246\) | 1.58877 | 0.101296 | ||||||||
\(247\) | 20.2633 | + | 9.81681i | 1.28932 | + | 0.624629i | ||||
\(248\) | 0.514319 | 0.0326593 | ||||||||
\(249\) | 4.20166i | 0.266269i | ||||||||
\(250\) | −0.571993 | −0.0361760 | ||||||||
\(251\) | −25.4689 | −1.60758 | −0.803791 | − | 0.594911i | \(-0.797187\pi\) | ||||
−0.803791 | + | 0.594911i | \(0.797187\pi\) | |||||||
\(252\) | 12.5944i | 0.793374i | ||||||||
\(253\) | 12.3849i | 0.778629i | ||||||||
\(254\) | 6.89917i | 0.432892i | ||||||||
\(255\) | 2.28797i | 0.143278i | ||||||||
\(256\) | −4.23030 | −0.264394 | ||||||||
\(257\) | 9.26724 | 0.578075 | 0.289037 | − | 0.957318i | \(-0.406665\pi\) | ||||
0.289037 | + | 0.957318i | \(0.406665\pi\) | |||||||
\(258\) | 2.67282i | 0.166403i | ||||||||
\(259\) | 8.89296 | 0.552581 | ||||||||
\(260\) | −5.42801 | − | 2.62967i | −0.336631 | − | 0.163085i | ||||
\(261\) | −7.52884 | −0.466023 | ||||||||
\(262\) | − | 4.36638i | − | 0.269756i | ||||||
\(263\) | −8.14794 | −0.502423 | −0.251212 | − | 0.967932i | \(-0.580829\pi\) | ||||
−0.251212 | + | 0.967932i | \(0.580829\pi\) | |||||||
\(264\) | −4.58651 | −0.282280 | ||||||||
\(265\) | − | 4.20166i | − | 0.258106i | ||||||
\(266\) | 9.54731i | 0.585383i | ||||||||
\(267\) | − | 3.26724i | − | 0.199952i | ||||||
\(268\) | − | 3.65209i | − | 0.223087i | ||||||
\(269\) | 1.14399 | 0.0697501 | 0.0348750 | − | 0.999392i | \(-0.488897\pi\) | ||||
0.0348750 | + | 0.999392i | \(0.488897\pi\) | |||||||
\(270\) | 1.42405 | 0.0866652 | ||||||||
\(271\) | − | 3.18714i | − | 0.193605i | −0.995304 | − | 0.0968026i | \(-0.969138\pi\) | ||
0.995304 | − | 0.0968026i | \(-0.0308615\pi\) | |||||||
\(272\) | −11.4610 | −0.694925 | ||||||||
\(273\) | −3.71203 | − | 1.79834i | −0.224662 | − | 0.108840i | ||||
\(274\) | −1.96306 | −0.118593 | ||||||||
\(275\) | − | 5.10083i | − | 0.307592i | ||||||
\(276\) | −1.73840 | −0.104640 | ||||||||
\(277\) | 7.62571 | 0.458185 | 0.229092 | − | 0.973405i | \(-0.426424\pi\) | ||||
0.229092 | + | 0.973405i | \(0.426424\pi\) | |||||||
\(278\) | 0.539004i | 0.0323273i | ||||||||
\(279\) | − | 0.689603i | − | 0.0412854i | ||||||
\(280\) | − | 5.61515i | − | 0.335569i | ||||||
\(281\) | − | 20.2386i | − | 1.20733i | −0.797237 | − | 0.603667i | \(-0.793706\pi\) | ||
0.797237 | − | 0.603667i | \(-0.206294\pi\) | |||||||
\(282\) | −0.654353 | −0.0389661 | ||||||||
\(283\) | 19.8969 | 1.18275 | 0.591374 | − | 0.806397i | \(-0.298586\pi\) | ||||
0.591374 | + | 0.806397i | \(0.298586\pi\) | |||||||
\(284\) | − | 10.4465i | − | 0.619884i | ||||||
\(285\) | −2.67282 | −0.158324 | ||||||||
\(286\) | −4.58651 | + | 9.46721i | −0.271206 | + | 0.559808i | ||||
\(287\) | −17.3456 | −1.02388 | ||||||||
\(288\) | 15.2897i | 0.900952i | ||||||||
\(289\) | 11.5759 | 0.680938 | ||||||||
\(290\) | 1.52884 | 0.0897764 | ||||||||
\(291\) | − | 4.85601i | − | 0.284665i | ||||||
\(292\) | 18.3355i | 1.07300i | ||||||||
\(293\) | − | 26.0185i | − | 1.52002i | −0.649914 | − | 0.760008i | \(-0.725195\pi\) | ||
0.649914 | − | 0.760008i | \(-0.274805\pi\) | |||||||
\(294\) | − | 0.0352503i | − | 0.00205584i | ||||||
\(295\) | 0.899170 | 0.0523517 | ||||||||
\(296\) | 6.98983 | 0.406276 | ||||||||
\(297\) | 12.6992i | 0.736882i | ||||||||
\(298\) | 6.48963 | 0.375934 | ||||||||
\(299\) | −3.81681 | + | 7.87844i | −0.220732 | + | 0.455622i | ||||
\(300\) | 0.715980 | 0.0413371 | ||||||||
\(301\) | − | 29.1809i | − | 1.68196i | ||||||
\(302\) | 12.0247 | 0.691943 | ||||||||
\(303\) | 4.64645 | 0.266931 | ||||||||
\(304\) | − | 13.3888i | − | 0.767901i | ||||||
\(305\) | − | 5.81681i | − | 0.333070i | ||||||
\(306\) | − | 8.61289i | − | 0.492366i | ||||||
\(307\) | − | 2.39276i | − | 0.136562i | −0.997666 | − | 0.0682809i | \(-0.978249\pi\) | ||
0.997666 | − | 0.0682809i | \(-0.0217514\pi\) | |||||||
\(308\) | 22.8066 | 1.29953 | ||||||||
\(309\) | 4.54957 | 0.258816 | ||||||||
\(310\) | 0.140034i | 0.00795338i | ||||||||
\(311\) | 3.54731 | 0.201149 | 0.100575 | − | 0.994930i | \(-0.467932\pi\) | ||||
0.100575 | + | 0.994930i | \(0.467932\pi\) | |||||||
\(312\) | −2.91764 | − | 1.41349i | −0.165179 | − | 0.0800230i | ||||
\(313\) | 4.97927 | 0.281445 | 0.140722 | − | 0.990049i | \(-0.455057\pi\) | ||||
0.140722 | + | 0.990049i | \(0.455057\pi\) | |||||||
\(314\) | 5.62571i | 0.317477i | ||||||||
\(315\) | −7.52884 | −0.424202 | ||||||||
\(316\) | −6.07841 | −0.341937 | ||||||||
\(317\) | 18.5944i | 1.04437i | 0.852833 | + | 0.522183i | \(0.174882\pi\) | ||||
−0.852833 | + | 0.522183i | \(0.825118\pi\) | |||||||
\(318\) | − | 1.02864i | − | 0.0576831i | ||||||
\(319\) | 13.6336i | 0.763336i | ||||||||
\(320\) | 1.18319i | 0.0661423i | ||||||||
\(321\) | −0.0599353 | −0.00334526 | ||||||||
\(322\) | −3.71203 | −0.206863 | ||||||||
\(323\) | 33.3826i | 1.85746i | ||||||||
\(324\) | 12.3536 | 0.686309 | ||||||||
\(325\) | 1.57199 | − | 3.24482i | 0.0871985 | − | 0.179990i | ||||
\(326\) | 7.08405 | 0.392349 | ||||||||
\(327\) | 3.87675i | 0.214385i | ||||||||
\(328\) | −13.6336 | −0.752791 | ||||||||
\(329\) | 7.14399 | 0.393861 | ||||||||
\(330\) | − | 1.24877i | − | 0.0687425i | ||||||
\(331\) | − | 5.91990i | − | 0.325387i | −0.986677 | − | 0.162694i | \(-0.947982\pi\) | ||
0.986677 | − | 0.162694i | \(-0.0520182\pi\) | |||||||
\(332\) | − | 16.4218i | − | 0.901263i | ||||||
\(333\) | − | 9.37202i | − | 0.513584i | ||||||
\(334\) | −4.86658 | −0.266287 | ||||||||
\(335\) | 2.18319 | 0.119280 | ||||||||
\(336\) | 2.45269i | 0.133805i | ||||||||
\(337\) | 13.9216 | 0.758358 | 0.379179 | − | 0.925323i | \(-0.376207\pi\) | ||||
0.379179 | + | 0.925323i | \(0.376207\pi\) | |||||||
\(338\) | −5.83528 | + | 4.60894i | −0.317397 | + | 0.250693i | ||||
\(339\) | −5.55521 | −0.301718 | ||||||||
\(340\) | − | 8.94233i | − | 0.484966i | ||||||
\(341\) | −1.24877 | −0.0676247 | ||||||||
\(342\) | 10.0616 | 0.544070 | ||||||||
\(343\) | − | 18.3249i | − | 0.989452i | ||||||
\(344\) | − | 22.9361i | − | 1.23663i | ||||||
\(345\) | − | 1.03920i | − | 0.0559488i | ||||||
\(346\) | − | 12.3249i | − | 0.662592i | ||||||
\(347\) | 7.65831 | 0.411119 | 0.205560 | − | 0.978645i | \(-0.434099\pi\) | ||||
0.205560 | + | 0.978645i | \(0.434099\pi\) | |||||||
\(348\) | −1.91369 | −0.102584 | ||||||||
\(349\) | 11.1809i | 0.598501i | 0.954175 | + | 0.299251i | \(0.0967367\pi\) | ||||
−0.954175 | + | 0.299251i | \(0.903263\pi\) | |||||||
\(350\) | 1.52884 | 0.0817198 | ||||||||
\(351\) | −3.91369 | + | 8.07841i | −0.208897 | + | 0.431193i | ||||
\(352\) | 27.6873 | 1.47574 | ||||||||
\(353\) | 9.65209i | 0.513729i | 0.966447 | + | 0.256864i | \(0.0826894\pi\) | ||||
−0.966447 | + | 0.256864i | \(0.917311\pi\) | |||||||
\(354\) | 0.220132 | 0.0116999 | ||||||||
\(355\) | 6.24482 | 0.331440 | ||||||||
\(356\) | 12.7697i | 0.676793i | ||||||||
\(357\) | − | 6.11535i | − | 0.323659i | ||||||
\(358\) | 1.46890i | 0.0776339i | ||||||||
\(359\) | 9.51206i | 0.502027i | 0.967984 | + | 0.251014i | \(0.0807639\pi\) | ||||
−0.967984 | + | 0.251014i | \(0.919236\pi\) | |||||||
\(360\) | −5.91764 | −0.311887 | ||||||||
\(361\) | −19.9977 | −1.05251 | ||||||||
\(362\) | − | 7.85375i | − | 0.412784i | ||||||
\(363\) | 6.42801 | 0.337383 | ||||||||
\(364\) | 14.5081 | + | 7.02864i | 0.760431 | + | 0.368401i | ||||
\(365\) | −10.9608 | −0.573714 | ||||||||
\(366\) | − | 1.42405i | − | 0.0744365i | ||||||
\(367\) | −17.0040 | −0.887599 | −0.443800 | − | 0.896126i | \(-0.646370\pi\) | ||||
−0.443800 | + | 0.896126i | \(0.646370\pi\) | |||||||
\(368\) | 5.20561 | 0.271361 | ||||||||
\(369\) | 18.2801i | 0.951622i | ||||||||
\(370\) | 1.90312i | 0.0989386i | ||||||||
\(371\) | 11.2303i | 0.583048i | ||||||||
\(372\) | − | 0.175284i | − | 0.00908805i | ||||||
\(373\) | −1.83528 | −0.0950273 | −0.0475136 | − | 0.998871i | \(-0.515130\pi\) | ||||
−0.0475136 | + | 0.998871i | \(0.515130\pi\) | |||||||
\(374\) | −15.5967 | −0.806485 | ||||||||
\(375\) | 0.428007i | 0.0221022i | ||||||||
\(376\) | 5.61515 | 0.289579 | ||||||||
\(377\) | −4.20166 | + | 8.67282i | −0.216397 | + | 0.446673i | ||||
\(378\) | −3.80624 | −0.195772 | ||||||||
\(379\) | − | 32.3681i | − | 1.66264i | −0.555797 | − | 0.831318i | \(-0.687587\pi\) | ||
0.555797 | − | 0.831318i | \(-0.312413\pi\) | |||||||
\(380\) | 10.4465 | 0.535893 | ||||||||
\(381\) | 5.16246 | 0.264481 | ||||||||
\(382\) | 6.11535i | 0.312888i | ||||||||
\(383\) | − | 28.1417i | − | 1.43798i | −0.695023 | − | 0.718988i | \(-0.744606\pi\) | ||
0.695023 | − | 0.718988i | \(-0.255394\pi\) | |||||||
\(384\) | 4.93611i | 0.251895i | ||||||||
\(385\) | 13.6336i | 0.694834i | ||||||||
\(386\) | −11.0162 | −0.560710 | ||||||||
\(387\) | −30.7529 | −1.56326 | ||||||||
\(388\) | 18.9793i | 0.963526i | ||||||||
\(389\) | −31.9585 | −1.62036 | −0.810181 | − | 0.586180i | \(-0.800631\pi\) | ||||
−0.810181 | + | 0.586180i | \(0.800631\pi\) | |||||||
\(390\) | 0.384851 | − | 0.794386i | 0.0194877 | − | 0.0402253i | ||||
\(391\) | −12.9793 | −0.656390 | ||||||||
\(392\) | 0.302491i | 0.0152781i | ||||||||
\(393\) | −3.26724 | −0.164811 | ||||||||
\(394\) | 9.82738 | 0.495096 | ||||||||
\(395\) | − | 3.63362i | − | 0.182827i | ||||||
\(396\) | − | 24.0353i | − | 1.20782i | ||||||
\(397\) | 12.7098i | 0.637885i | 0.947774 | + | 0.318942i | \(0.103328\pi\) | ||||
−0.947774 | + | 0.318942i | \(0.896672\pi\) | |||||||
\(398\) | 6.60498i | 0.331078i | ||||||||
\(399\) | 7.14399 | 0.357647 | ||||||||
\(400\) | −2.14399 | −0.107199 | ||||||||
\(401\) | − | 0.979268i | − | 0.0489023i | −0.999701 | − | 0.0244512i | \(-0.992216\pi\) | ||
0.999701 | − | 0.0244512i | \(-0.00778382\pi\) | |||||||
\(402\) | 0.534482 | 0.0266575 | ||||||||
\(403\) | −0.794386 | − | 0.384851i | −0.0395712 | − | 0.0191708i | ||||
\(404\) | −18.1602 | −0.903504 | ||||||||
\(405\) | 7.38485i | 0.366956i | ||||||||
\(406\) | −4.08631 | −0.202800 | ||||||||
\(407\) | −16.9714 | −0.841239 | ||||||||
\(408\) | − | 4.80664i | − | 0.237964i | ||||||
\(409\) | 7.79834i | 0.385603i | 0.981238 | + | 0.192802i | \(0.0617574\pi\) | ||||
−0.981238 | + | 0.192802i | \(0.938243\pi\) | |||||||
\(410\) | − | 3.71203i | − | 0.183324i | ||||||
\(411\) | 1.46890i | 0.0724556i | ||||||||
\(412\) | −17.7816 | −0.876035 | ||||||||
\(413\) | −2.40332 | −0.118260 | ||||||||
\(414\) | 3.91200i | 0.192264i | ||||||||
\(415\) | 9.81681 | 0.481888 | ||||||||
\(416\) | 17.6129 | + | 8.53279i | 0.863543 | + | 0.418354i | ||||
\(417\) | 0.403322 | 0.0197508 | ||||||||
\(418\) | − | 18.2201i | − | 0.891176i | ||||||
\(419\) | 10.2017 | 0.498384 | 0.249192 | − | 0.968454i | \(-0.419835\pi\) | ||||
0.249192 | + | 0.968454i | \(0.419835\pi\) | |||||||
\(420\) | −1.91369 | −0.0933784 | ||||||||
\(421\) | 31.1888i | 1.52005i | 0.649893 | + | 0.760025i | \(0.274814\pi\) | ||||
−0.649893 | + | 0.760025i | \(0.725186\pi\) | |||||||
\(422\) | − | 13.7983i | − | 0.671693i | ||||||
\(423\) | − | 7.52884i | − | 0.366065i | ||||||
\(424\) | 8.82698i | 0.428676i | ||||||||
\(425\) | 5.34565 | 0.259302 | ||||||||
\(426\) | 1.52884 | 0.0740724 | ||||||||
\(427\) | 15.5473i | 0.752387i | ||||||||
\(428\) | 0.234252 | 0.0113230 | ||||||||
\(429\) | 7.08405 | + | 3.43196i | 0.342021 | + | 0.165697i | ||||
\(430\) | 6.24482 | 0.301152 | ||||||||
\(431\) | 22.9361i | 1.10479i | 0.833581 | + | 0.552397i | \(0.186287\pi\) | ||||
−0.833581 | + | 0.552397i | \(0.813713\pi\) | |||||||
\(432\) | 5.33774 | 0.256812 | ||||||||
\(433\) | −16.2880 | −0.782750 | −0.391375 | − | 0.920231i | \(-0.628000\pi\) | ||||
−0.391375 | + | 0.920231i | \(0.628000\pi\) | |||||||
\(434\) | − | 0.374285i | − | 0.0179663i | ||||||
\(435\) | − | 1.14399i | − | 0.0548500i | ||||||
\(436\) | − | 15.1519i | − | 0.725644i | ||||||
\(437\) | − | 15.1625i | − | 0.725319i | ||||||
\(438\) | −2.68339 | −0.128217 | ||||||||
\(439\) | 23.7569 | 1.13385 | 0.566927 | − | 0.823768i | \(-0.308132\pi\) | ||||
0.566927 | + | 0.823768i | \(0.308132\pi\) | |||||||
\(440\) | 10.7160i | 0.510864i | ||||||||
\(441\) | 0.405583 | 0.0193135 | ||||||||
\(442\) | −9.92159 | − | 4.80664i | −0.471922 | − | 0.228629i | ||||
\(443\) | −2.75292 | −0.130795 | −0.0653976 | − | 0.997859i | \(-0.520832\pi\) | ||||
−0.0653976 | + | 0.997859i | \(0.520832\pi\) | |||||||
\(444\) | − | 2.38219i | − | 0.113054i | ||||||
\(445\) | −7.63362 | −0.361868 | ||||||||
\(446\) | −3.27781 | −0.155209 | ||||||||
\(447\) | − | 4.85601i | − | 0.229682i | ||||||
\(448\) | − | 3.16246i | − | 0.149412i | ||||||
\(449\) | − | 27.1025i | − | 1.27905i | −0.768772 | − | 0.639524i | \(-0.779132\pi\) | ||
0.768772 | − | 0.639524i | \(-0.220868\pi\) | |||||||
\(450\) | − | 1.61120i | − | 0.0759525i | ||||||
\(451\) | 33.1025 | 1.55874 | ||||||||
\(452\) | 21.7120 | 1.02125 | ||||||||
\(453\) | − | 8.99774i | − | 0.422751i | ||||||
\(454\) | −1.68903 | −0.0792703 | ||||||||
\(455\) | −4.20166 | + | 8.67282i | −0.196977 | + | 0.406588i | ||||
\(456\) | 5.61515 | 0.262953 | ||||||||
\(457\) | − | 40.1523i | − | 1.87824i | −0.343583 | − | 0.939122i | \(-0.611641\pi\) | ||
0.343583 | − | 0.939122i | \(-0.388359\pi\) | |||||||
\(458\) | 14.4482 | 0.675119 | ||||||||
\(459\) | −13.3087 | −0.621197 | ||||||||
\(460\) | 4.06163i | 0.189374i | ||||||||
\(461\) | − | 2.00791i | − | 0.0935175i | −0.998906 | − | 0.0467587i | \(-0.985111\pi\) | ||
0.998906 | − | 0.0467587i | \(-0.0148892\pi\) | |||||||
\(462\) | 3.33774i | 0.155286i | ||||||||
\(463\) | 2.67282i | 0.124217i | 0.998069 | + | 0.0621083i | \(0.0197824\pi\) | ||||
−0.998069 | + | 0.0621083i | \(0.980218\pi\) | |||||||
\(464\) | 5.73050 | 0.266032 | ||||||||
\(465\) | 0.104783 | 0.00485921 | ||||||||
\(466\) | 13.3536i | 0.618591i | ||||||||
\(467\) | 31.8890 | 1.47565 | 0.737824 | − | 0.674994i | \(-0.235854\pi\) | ||||
0.737824 | + | 0.674994i | \(0.235854\pi\) | |||||||
\(468\) | 7.40727 | − | 15.2897i | 0.342401 | − | 0.706765i | ||||
\(469\) | −5.83528 | −0.269448 | ||||||||
\(470\) | 1.52884i | 0.0705200i | ||||||||
\(471\) | 4.20957 | 0.193967 | ||||||||
\(472\) | −1.88900 | −0.0869484 | ||||||||
\(473\) | 55.6890i | 2.56058i | ||||||||
\(474\) | − | 0.889572i | − | 0.0408594i | ||||||
\(475\) | 6.24482i | 0.286532i | ||||||||
\(476\) | 23.9013i | 1.09551i | ||||||||
\(477\) | 11.8353 | 0.541900 | ||||||||
\(478\) | 2.16907 | 0.0992110 | ||||||||
\(479\) | − | 6.73445i | − | 0.307705i | −0.988094 | − | 0.153852i | \(-0.950832\pi\) | ||
0.988094 | − | 0.153852i | \(-0.0491680\pi\) | |||||||
\(480\) | −2.32322 | −0.106040 | ||||||||
\(481\) | −10.7961 | − | 5.23030i | −0.492259 | − | 0.238481i | ||||
\(482\) | −1.96306 | −0.0894148 | ||||||||
\(483\) | 2.77761i | 0.126385i | ||||||||
\(484\) | −25.1233 | −1.14197 | ||||||||
\(485\) | −11.3456 | −0.515179 | ||||||||
\(486\) | 6.08010i | 0.275799i | ||||||||
\(487\) | − | 39.6521i | − | 1.79681i | −0.439170 | − | 0.898404i | \(-0.644727\pi\) | ||
0.439170 | − | 0.898404i | \(-0.355273\pi\) | |||||||
\(488\) | 12.2201i | 0.553179i | ||||||||
\(489\) | − | 5.30080i | − | 0.239710i | ||||||
\(490\) | −0.0823593 | −0.00372062 | ||||||||
\(491\) | 31.0946 | 1.40328 | 0.701640 | − | 0.712531i | \(-0.252451\pi\) | ||||
0.701640 | + | 0.712531i | \(0.252451\pi\) | |||||||
\(492\) | 4.64645i | 0.209478i | ||||||||
\(493\) | −14.2880 | −0.643498 | ||||||||
\(494\) | 5.61515 | − | 11.5905i | 0.252638 | − | 0.521480i | ||||
\(495\) | 14.3681 | 0.645797 | ||||||||
\(496\) | 0.524884i | 0.0235680i | ||||||||
\(497\) | −16.6913 | −0.748707 | ||||||||
\(498\) | 2.40332 | 0.107695 | ||||||||
\(499\) | − | 13.1087i | − | 0.586828i | −0.955986 | − | 0.293414i | \(-0.905209\pi\) | ||
0.955986 | − | 0.293414i | \(-0.0947914\pi\) | |||||||
\(500\) | − | 1.67282i | − | 0.0748110i | ||||||
\(501\) | 3.64153i | 0.162691i | ||||||||
\(502\) | 14.5680i | 0.650203i | ||||||||
\(503\) | −8.59273 | −0.383131 | −0.191565 | − | 0.981480i | \(-0.561356\pi\) | ||||
−0.191565 | + | 0.981480i | \(0.561356\pi\) | |||||||
\(504\) | 15.8168 | 0.704537 | ||||||||
\(505\) | − | 10.8560i | − | 0.483086i | ||||||
\(506\) | 7.08405 | 0.314924 | ||||||||
\(507\) | 3.44874 | + | 4.36638i | 0.153164 | + | 0.193918i | ||||
\(508\) | −20.1770 | −0.895209 | ||||||||
\(509\) | − | 29.8353i | − | 1.32243i | −0.750198 | − | 0.661213i | \(-0.770042\pi\) | ||
0.750198 | − | 0.661213i | \(-0.229958\pi\) | |||||||
\(510\) | 1.30871 | 0.0579504 | ||||||||
\(511\) | 29.2963 | 1.29599 | ||||||||
\(512\) | − | 20.6459i | − | 0.912428i | ||||||
\(513\) | − | 15.5473i | − | 0.686430i | ||||||
\(514\) | − | 5.30080i | − | 0.233808i | ||||||
\(515\) | − | 10.6297i | − | 0.468399i | ||||||
\(516\) | −7.81681 | −0.344116 | ||||||||
\(517\) | −13.6336 | −0.599606 | ||||||||
\(518\) | − | 5.08671i | − | 0.223497i | ||||||
\(519\) | −9.22239 | −0.404818 | ||||||||
\(520\) | −3.30249 | + | 6.81681i | −0.144824 | + | 0.298937i | ||||
\(521\) | 10.0969 | 0.442352 | 0.221176 | − | 0.975234i | \(-0.429010\pi\) | ||||
0.221176 | + | 0.975234i | \(0.429010\pi\) | |||||||
\(522\) | 4.30644i | 0.188488i | ||||||||
\(523\) | 16.1479 | 0.706100 | 0.353050 | − | 0.935604i | \(-0.385145\pi\) | ||||
0.353050 | + | 0.935604i | \(0.385145\pi\) | |||||||
\(524\) | 12.7697 | 0.557847 | ||||||||
\(525\) | − | 1.14399i | − | 0.0499277i | ||||||
\(526\) | 4.66057i | 0.203210i | ||||||||
\(527\) | − | 1.30871i | − | 0.0570081i | ||||||
\(528\) | − | 4.68073i | − | 0.203703i | ||||||
\(529\) | −17.1048 | −0.743686 | ||||||||
\(530\) | −2.40332 | −0.104394 | ||||||||
\(531\) | 2.53279i | 0.109914i | ||||||||
\(532\) | −27.9216 | −1.21055 | ||||||||
\(533\) | 21.0577 | + | 10.2017i | 0.912109 | + | 0.441883i | ||||
\(534\) | −1.86884 | −0.0808726 | ||||||||
\(535\) | 0.140034i | 0.00605418i | ||||||||
\(536\) | −4.58651 | −0.198107 | ||||||||
\(537\) | 1.09914 | 0.0474313 | ||||||||
\(538\) | − | 0.654353i | − | 0.0282111i | ||||||
\(539\) | − | 0.734451i | − | 0.0316350i | ||||||
\(540\) | 4.16472i | 0.179221i | ||||||||
\(541\) | 26.7776i | 1.15126i | 0.817711 | + | 0.575630i | \(0.195243\pi\) | ||||
−0.817711 | + | 0.575630i | \(0.804757\pi\) | |||||||
\(542\) | −1.82302 | −0.0783056 | ||||||||
\(543\) | −5.87675 | −0.252195 | ||||||||
\(544\) | 29.0162i | 1.24406i | ||||||||
\(545\) | 9.05767 | 0.387988 | ||||||||
\(546\) | −1.02864 | + | 2.12325i | −0.0440216 | + | 0.0908669i | ||||
\(547\) | 12.3865 | 0.529610 | 0.264805 | − | 0.964302i | \(-0.414692\pi\) | ||||
0.264805 | + | 0.964302i | \(0.414692\pi\) | |||||||
\(548\) | − | 5.74106i | − | 0.245246i | ||||||
\(549\) | 16.3849 | 0.699288 | ||||||||
\(550\) | −2.91764 | −0.124409 | ||||||||
\(551\) | − | 16.6913i | − | 0.711073i | ||||||
\(552\) | 2.18319i | 0.0929227i | ||||||||
\(553\) | 9.71203i | 0.412997i | ||||||||
\(554\) | − | 4.36186i | − | 0.185318i | ||||||
\(555\) | 1.42405 | 0.0604477 | ||||||||
\(556\) | −1.57634 | −0.0668519 | ||||||||
\(557\) | 10.4218i | 0.441586i | 0.975321 | + | 0.220793i | \(0.0708644\pi\) | ||||
−0.975321 | + | 0.220793i | \(0.929136\pi\) | |||||||
\(558\) | −0.394448 | −0.0166983 | ||||||||
\(559\) | −17.1625 | + | 35.4257i | −0.725895 | + | 1.49835i | ||||
\(560\) | 5.73050 | 0.242158 | ||||||||
\(561\) | 11.6706i | 0.492732i | ||||||||
\(562\) | −11.5763 | −0.488319 | ||||||||
\(563\) | 9.78156 | 0.412244 | 0.206122 | − | 0.978526i | \(-0.433916\pi\) | ||||
0.206122 | + | 0.978526i | \(0.433916\pi\) | |||||||
\(564\) | − | 1.91369i | − | 0.0805808i | ||||||
\(565\) | 12.9793i | 0.546042i | ||||||||
\(566\) | − | 11.3809i | − | 0.478375i | ||||||
\(567\) | − | 19.7384i | − | 0.828935i | ||||||
\(568\) | −13.1193 | −0.550474 | ||||||||
\(569\) | −30.2201 | −1.26689 | −0.633447 | − | 0.773786i | \(-0.718361\pi\) | ||||
−0.633447 | + | 0.773786i | \(0.718361\pi\) | |||||||
\(570\) | 1.52884i | 0.0640359i | ||||||||
\(571\) | −39.8643 | −1.66827 | −0.834135 | − | 0.551561i | \(-0.814033\pi\) | ||||
−0.834135 | + | 0.551561i | \(0.814033\pi\) | |||||||
\(572\) | −27.6873 | − | 13.4135i | −1.15767 | − | 0.560846i | ||||
\(573\) | 4.57595 | 0.191163 | ||||||||
\(574\) | 9.92159i | 0.414119i | ||||||||
\(575\) | −2.42801 | −0.101255 | ||||||||
\(576\) | −3.33282 | −0.138868 | ||||||||
\(577\) | 8.46326i | 0.352330i | 0.984361 | + | 0.176165i | \(0.0563692\pi\) | ||||
−0.984361 | + | 0.176165i | \(0.943631\pi\) | |||||||
\(578\) | − | 6.62136i | − | 0.275412i | ||||||
\(579\) | 8.24313i | 0.342573i | ||||||||
\(580\) | 4.47116i | 0.185655i | ||||||||
\(581\) | −26.2386 | −1.08856 | ||||||||
\(582\) | −2.77761 | −0.115136 | ||||||||
\(583\) | − | 21.4320i | − | 0.887621i | ||||||
\(584\) | 23.0268 | 0.952855 | ||||||||
\(585\) | 9.14003 | + | 4.42801i | 0.377894 | + | 0.183076i | ||||
\(586\) | −14.8824 | −0.614786 | ||||||||
\(587\) | 9.32718i | 0.384974i | 0.981300 | + | 0.192487i | \(0.0616553\pi\) | ||||
−0.981300 | + | 0.192487i | \(0.938345\pi\) | |||||||
\(588\) | 0.103091 | 0.00425142 | ||||||||
\(589\) | 1.52884 | 0.0629946 | ||||||||
\(590\) | − | 0.514319i | − | 0.0211742i | ||||||
\(591\) | − | 7.35355i | − | 0.302485i | ||||||
\(592\) | 7.13342i | 0.293182i | ||||||||
\(593\) | − | 8.07841i | − | 0.331740i | −0.986148 | − | 0.165870i | \(-0.946957\pi\) | ||
0.986148 | − | 0.165870i | \(-0.0530433\pi\) | |||||||
\(594\) | 7.26386 | 0.298040 | ||||||||
\(595\) | −14.2880 | −0.585750 | ||||||||
\(596\) | 18.9793i | 0.777421i | ||||||||
\(597\) | 4.94233 | 0.202276 | ||||||||
\(598\) | 4.50641 | + | 2.18319i | 0.184281 | + | 0.0892773i | ||||
\(599\) | 19.1440 | 0.782202 | 0.391101 | − | 0.920348i | \(-0.372094\pi\) | ||||
0.391101 | + | 0.920348i | \(0.372094\pi\) | |||||||
\(600\) | − | 0.899170i | − | 0.0367084i | ||||||
\(601\) | −4.28797 | −0.174910 | −0.0874550 | − | 0.996168i | \(-0.527873\pi\) | ||||
−0.0874550 | + | 0.996168i | \(0.527873\pi\) | |||||||
\(602\) | −16.6913 | −0.680286 | ||||||||
\(603\) | 6.14963i | 0.250432i | ||||||||
\(604\) | 35.1668i | 1.43092i | ||||||||
\(605\) | − | 15.0185i | − | 0.610588i | ||||||
\(606\) | − | 2.65774i | − | 0.107963i | ||||||
\(607\) | 29.2426 | 1.18692 | 0.593459 | − | 0.804864i | \(-0.297762\pi\) | ||||
0.593459 | + | 0.804864i | \(0.297762\pi\) | |||||||
\(608\) | −33.8969 | −1.37470 | ||||||||
\(609\) | 3.05767i | 0.123903i | ||||||||
\(610\) | −3.32718 | −0.134713 | ||||||||
\(611\) | −8.67282 | − | 4.20166i | −0.350865 | − | 0.169981i | ||||
\(612\) | 25.1888 | 1.01820 | ||||||||
\(613\) | − | 1.42405i | − | 0.0575170i | −0.999586 | − | 0.0287585i | \(-0.990845\pi\) | ||
0.999586 | − | 0.0287585i | \(-0.00915538\pi\) | |||||||
\(614\) | −1.36864 | −0.0552338 | ||||||||
\(615\) | −2.77761 | −0.112004 | ||||||||
\(616\) | − | 28.6419i | − | 1.15402i | ||||||
\(617\) | 46.5266i | 1.87309i | 0.350548 | + | 0.936545i | \(0.385995\pi\) | ||||
−0.350548 | + | 0.936545i | \(0.614005\pi\) | |||||||
\(618\) | − | 2.60232i | − | 0.104681i | ||||||
\(619\) | − | 34.2818i | − | 1.37790i | −0.724809 | − | 0.688950i | \(-0.758072\pi\) | ||
0.724809 | − | 0.688950i | \(-0.241928\pi\) | |||||||
\(620\) | −0.409536 | −0.0164473 | ||||||||
\(621\) | 6.04485 | 0.242571 | ||||||||
\(622\) | − | 2.02904i | − | 0.0813569i | ||||||
\(623\) | 20.4033 | 0.817442 | ||||||||
\(624\) | 1.44252 | − | 2.97758i | 0.0577472 | − | 0.119198i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | − | 2.84811i | − | 0.113833i | ||||||
\(627\) | −13.6336 | −0.544474 | ||||||||
\(628\) | −16.4527 | −0.656534 | ||||||||
\(629\) | − | 17.7859i | − | 0.709171i | ||||||
\(630\) | 4.30644i | 0.171573i | ||||||||
\(631\) | 2.32322i | 0.0924861i | 0.998930 | + | 0.0462430i | \(0.0147249\pi\) | ||||
−0.998930 | + | 0.0462430i | \(0.985275\pi\) | |||||||
\(632\) | 7.63362i | 0.303649i | ||||||||
\(633\) | −10.3249 | −0.410379 | ||||||||
\(634\) | 10.6359 | 0.422405 | ||||||||
\(635\) | − | 12.0616i | − | 0.478651i | ||||||
\(636\) | 3.00830 | 0.119287 | ||||||||
\(637\) | 0.226346 | − | 0.467210i | 0.00896815 | − | 0.0185115i | ||||
\(638\) | 7.79834 | 0.308739 | ||||||||
\(639\) | 17.5905i | 0.695868i | ||||||||
\(640\) | 11.5328 | 0.455874 | ||||||||
\(641\) | 28.1312 | 1.11111 | 0.555557 | − | 0.831478i | \(-0.312505\pi\) | ||||
0.555557 | + | 0.831478i | \(0.312505\pi\) | |||||||
\(642\) | 0.0342826i | 0.00135303i | ||||||||
\(643\) | 14.1338i | 0.557383i | 0.960381 | + | 0.278692i | \(0.0899008\pi\) | ||||
−0.960381 | + | 0.278692i | \(0.910099\pi\) | |||||||
\(644\) | − | 10.8560i | − | 0.427787i | ||||||
\(645\) | − | 4.67282i | − | 0.183992i | ||||||
\(646\) | 19.0946 | 0.751268 | ||||||||
\(647\) | 45.8969 | 1.80439 | 0.902197 | − | 0.431325i | \(-0.141954\pi\) | ||||
0.902197 | + | 0.431325i | \(0.141954\pi\) | |||||||
\(648\) | − | 15.5143i | − | 0.609460i | ||||||
\(649\) | 4.58651 | 0.180036 | ||||||||
\(650\) | −1.85601 | − | 0.899170i | −0.0727988 | − | 0.0352683i | ||||
\(651\) | −0.280067 | −0.0109767 | ||||||||
\(652\) | 20.7177i | 0.811367i | ||||||||
\(653\) | 50.4482 | 1.97419 | 0.987095 | − | 0.160137i | \(-0.0511938\pi\) | ||||
0.987095 | + | 0.160137i | \(0.0511938\pi\) | |||||||
\(654\) | 2.21747 | 0.0867100 | ||||||||
\(655\) | 7.63362i | 0.298270i | ||||||||
\(656\) | − | 13.9137i | − | 0.543238i | ||||||
\(657\) | − | 30.8745i | − | 1.20453i | ||||||
\(658\) | − | 4.08631i | − | 0.159301i | ||||||
\(659\) | −45.8722 | −1.78693 | −0.893464 | − | 0.449135i | \(-0.851732\pi\) | ||||
−0.893464 | + | 0.449135i | \(0.851732\pi\) | |||||||
\(660\) | 3.65209 | 0.142157 | ||||||||
\(661\) | − | 25.8432i | − | 1.00518i | −0.864524 | − | 0.502592i | \(-0.832380\pi\) | ||
0.864524 | − | 0.502592i | \(-0.167620\pi\) | |||||||
\(662\) | −3.38614 | −0.131606 | ||||||||
\(663\) | −3.59668 | + | 7.42405i | −0.139683 | + | 0.288326i | ||||
\(664\) | −20.6235 | −0.800345 | ||||||||
\(665\) | − | 16.6913i | − | 0.647261i | ||||||
\(666\) | −5.36073 | −0.207724 | ||||||||
\(667\) | 6.48963 | 0.251280 | ||||||||
\(668\) | − | 14.2326i | − | 0.550674i | ||||||
\(669\) | 2.45269i | 0.0948265i | ||||||||
\(670\) | − | 1.24877i | − | 0.0482442i | ||||||
\(671\) | − | 29.6706i | − | 1.14542i | ||||||
\(672\) | 6.20957 | 0.239539 | ||||||||
\(673\) | −4.97927 | −0.191937 | −0.0959683 | − | 0.995384i | \(-0.530595\pi\) | ||||
−0.0959683 | + | 0.995384i | \(0.530595\pi\) | |||||||
\(674\) | − | 7.96306i | − | 0.306726i | ||||||
\(675\) | −2.48963 | −0.0958261 | ||||||||
\(676\) | −13.4791 | − | 17.0656i | −0.518426 | − | 0.656368i | ||||
\(677\) | −35.8353 | −1.37726 | −0.688631 | − | 0.725112i | \(-0.741788\pi\) | ||||
−0.688631 | + | 0.725112i | \(0.741788\pi\) | |||||||
\(678\) | 3.17755i | 0.122033i | ||||||||
\(679\) | 30.3249 | 1.16376 | ||||||||
\(680\) | −11.2303 | −0.430662 | ||||||||
\(681\) | 1.26386i | 0.0484311i | ||||||||
\(682\) | 0.714288i | 0.0273515i | ||||||||
\(683\) | 40.4712i | 1.54859i | 0.632827 | + | 0.774293i | \(0.281894\pi\) | ||||
−0.632827 | + | 0.774293i | \(0.718106\pi\) | |||||||
\(684\) | 29.4257i | 1.12512i | ||||||||
\(685\) | 3.43196 | 0.131128 | ||||||||
\(686\) | −10.4817 | −0.400194 | ||||||||
\(687\) | − | 10.8112i | − | 0.412472i | ||||||
\(688\) | 23.4073 | 0.892394 | ||||||||
\(689\) | 6.60498 | − | 13.6336i | 0.251630 | − | 0.519400i | ||||
\(690\) | −0.594417 | −0.0226291 | ||||||||
\(691\) | − | 12.2448i | − | 0.465815i | −0.972499 | − | 0.232907i | \(-0.925176\pi\) | ||
0.972499 | − | 0.232907i | \(-0.0748239\pi\) | |||||||
\(692\) | 36.0448 | 1.37022 | ||||||||
\(693\) | −38.4033 | −1.45882 | ||||||||
\(694\) | − | 4.38050i | − | 0.166281i | ||||||
\(695\) | − | 0.942326i | − | 0.0357445i | ||||||
\(696\) | 2.40332i | 0.0910977i | ||||||||
\(697\) | 34.6913i | 1.31403i | ||||||||
\(698\) | 6.39542 | 0.242070 | ||||||||
\(699\) | 9.99209 | 0.377936 | ||||||||
\(700\) | 4.47116i | 0.168994i | ||||||||
\(701\) | −11.8353 | −0.447012 | −0.223506 | − | 0.974703i | \(-0.571750\pi\) | ||||
−0.223506 | + | 0.974703i | \(0.571750\pi\) | |||||||
\(702\) | 4.62079 | + | 2.23860i | 0.174401 | + | 0.0844906i | ||||
\(703\) | 20.7776 | 0.783642 | ||||||||
\(704\) | 6.03525i | 0.227462i | ||||||||
\(705\) | 1.14399 | 0.0430850 | ||||||||
\(706\) | 5.52093 | 0.207783 | ||||||||
\(707\) | 29.0162i | 1.09127i | ||||||||
\(708\) | 0.643787i | 0.0241950i | ||||||||
\(709\) | 6.37429i | 0.239391i | 0.992811 | + | 0.119696i | \(0.0381919\pi\) | ||||
−0.992811 | + | 0.119696i | \(0.961808\pi\) | |||||||
\(710\) | − | 3.57199i | − | 0.134055i | ||||||
\(711\) | 10.2352 | 0.383851 | ||||||||
\(712\) | 16.0369 | 0.601010 | ||||||||
\(713\) | 0.594417i | 0.0222611i | ||||||||
\(714\) | −3.49794 | −0.130907 | ||||||||
\(715\) | 8.01847 | − | 16.5513i | 0.299874 | − | 0.618982i | ||||
\(716\) | −4.29588 | −0.160545 | ||||||||
\(717\) | − | 1.62306i | − | 0.0606141i | ||||||
\(718\) | 5.44083 | 0.203050 | ||||||||
\(719\) | 34.9009 | 1.30158 | 0.650791 | − | 0.759257i | \(-0.274437\pi\) | ||||
0.650791 | + | 0.759257i | \(0.274437\pi\) | |||||||
\(720\) | − | 6.03920i | − | 0.225068i | ||||||
\(721\) | 28.4112i | 1.05809i | ||||||||
\(722\) | 11.4386i | 0.425700i | ||||||||
\(723\) | 1.46890i | 0.0546290i | ||||||||
\(724\) | 22.9687 | 0.853625 | ||||||||
\(725\) | −2.67282 | −0.0992662 | ||||||||
\(726\) | − | 3.67678i | − | 0.136458i | ||||||
\(727\) | −19.8106 | −0.734734 | −0.367367 | − | 0.930076i | \(-0.619741\pi\) | ||||
−0.367367 | + | 0.930076i | \(0.619741\pi\) | |||||||
\(728\) | 8.82698 | − | 18.2201i | 0.327150 | − | 0.675283i | ||||
\(729\) | −17.6050 | −0.652036 | ||||||||
\(730\) | 6.26950i | 0.232045i | ||||||||
\(731\) | −58.3619 | −2.15859 | ||||||||
\(732\) | 4.16472 | 0.153932 | ||||||||
\(733\) | − | 12.6050i | − | 0.465576i | −0.972528 | − | 0.232788i | \(-0.925215\pi\) | ||
0.972528 | − | 0.232788i | \(-0.0747848\pi\) | |||||||
\(734\) | 9.72615i | 0.358999i | ||||||||
\(735\) | 0.0616272i | 0.00227315i | ||||||||
\(736\) | − | 13.1792i | − | 0.485793i | ||||||
\(737\) | 11.1361 | 0.410203 | ||||||||
\(738\) | 10.4561 | 0.384893 | ||||||||
\(739\) | − | 37.1747i | − | 1.36749i | −0.729719 | − | 0.683747i | \(-0.760349\pi\) | ||
0.729719 | − | 0.683747i | \(-0.239651\pi\) | |||||||
\(740\) | −5.56578 | −0.204602 | ||||||||
\(741\) | −8.67282 | − | 4.20166i | −0.318604 | − | 0.154352i | ||||
\(742\) | 6.42366 | 0.235820 | ||||||||
\(743\) | 27.9322i | 1.02473i | 0.858767 | + | 0.512366i | \(0.171231\pi\) | ||||
−0.858767 | + | 0.512366i | \(0.828769\pi\) | |||||||
\(744\) | −0.220132 | −0.00807043 | ||||||||
\(745\) | −11.3456 | −0.415672 | ||||||||
\(746\) | 1.04977i | 0.0384348i | ||||||||
\(747\) | 27.6521i | 1.01174i | ||||||||
\(748\) | − | 45.6133i | − | 1.66779i | ||||||
\(749\) | − | 0.374285i | − | 0.0136761i | ||||||
\(750\) | 0.244817 | 0.00893945 | ||||||||
\(751\) | 13.6257 | 0.497209 | 0.248605 | − | 0.968605i | \(-0.420028\pi\) | ||||
0.248605 | + | 0.968605i | \(0.420028\pi\) | |||||||
\(752\) | 5.73050i | 0.208970i | ||||||||
\(753\) | 10.9009 | 0.397249 | ||||||||
\(754\) | 4.96080 | + | 2.40332i | 0.180662 | + | 0.0875238i | ||||
\(755\) | −21.0224 | −0.765084 | ||||||||
\(756\) | − | 11.1316i | − | 0.404851i | ||||||
\(757\) | −30.8560 | −1.12148 | −0.560740 | − | 0.827992i | \(-0.689483\pi\) | ||||
−0.560740 | + | 0.827992i | \(0.689483\pi\) | |||||||
\(758\) | −18.5143 | −0.672470 | ||||||||
\(759\) | − | 5.30080i | − | 0.192407i | ||||||
\(760\) | − | 13.1193i | − | 0.475887i | ||||||
\(761\) | 17.0162i | 0.616837i | 0.951251 | + | 0.308419i | \(0.0997997\pi\) | ||||
−0.951251 | + | 0.308419i | \(0.900200\pi\) | |||||||
\(762\) | − | 2.95289i | − | 0.106972i | ||||||
\(763\) | −24.2096 | −0.876445 | ||||||||
\(764\) | −17.8847 | −0.647044 | ||||||||
\(765\) | 15.0577i | 0.544411i | ||||||||
\(766\) | −16.0969 | −0.581604 | ||||||||
\(767\) | 2.91764 | + | 1.41349i | 0.105350 | + | 0.0510381i | ||||
\(768\) | 1.81060 | 0.0653343 | ||||||||
\(769\) | 29.0162i | 1.04635i | 0.852225 | + | 0.523176i | \(0.175253\pi\) | ||||
−0.852225 | + | 0.523176i | \(0.824747\pi\) | |||||||
\(770\) | 7.79834 | 0.281033 | ||||||||
\(771\) | −3.96644 | −0.142848 | ||||||||
\(772\) | − | 32.2175i | − | 1.15953i | ||||||
\(773\) | 40.5160i | 1.45726i | 0.684908 | + | 0.728630i | \(0.259842\pi\) | ||||
−0.684908 | + | 0.728630i | \(0.740158\pi\) | |||||||
\(774\) | 17.5905i | 0.632276i | ||||||||
\(775\) | − | 0.244817i | − | 0.00879409i | ||||||
\(776\) | 23.8353 | 0.855637 | ||||||||
\(777\) | −3.80624 | −0.136548 | ||||||||
\(778\) | 18.2801i | 0.655372i | ||||||||
\(779\) | −40.5266 | −1.45202 | ||||||||
\(780\) | 2.32322 | + | 1.12552i | 0.0831847 | + | 0.0402999i | ||||
\(781\) | 31.8538 | 1.13982 | ||||||||
\(782\) | 7.42405i | 0.265484i | ||||||||
\(783\) | 6.65435 | 0.237807 | ||||||||
\(784\) | −0.308705 | −0.0110252 | ||||||||
\(785\) | − | 9.83528i | − | 0.351036i | ||||||
\(786\) | 1.86884i | 0.0666593i | ||||||||
\(787\) | 34.0264i | 1.21291i | 0.795118 | + | 0.606455i | \(0.207409\pi\) | ||||
−0.795118 | + | 0.606455i | \(0.792591\pi\) | |||||||
\(788\) | 28.7407i | 1.02384i | ||||||||
\(789\) | 3.48737 | 0.124154 | ||||||||
\(790\) | −2.07841 | −0.0739464 | ||||||||
\(791\) | − | 34.6913i | − | 1.23348i | ||||||
\(792\) | −30.1849 | −1.07257 | ||||||||
\(793\) | 9.14399 | − | 18.8745i | 0.324712 | − | 0.670253i | ||||
\(794\) | 7.26990 | 0.257999 | ||||||||
\(795\) | 1.79834i | 0.0637805i | ||||||||
\(796\) | −19.3166 | −0.684659 | ||||||||
\(797\) | 14.7776 | 0.523450 | 0.261725 | − | 0.965143i | \(-0.415709\pi\) | ||||
0.261725 | + | 0.965143i | \(0.415709\pi\) | |||||||
\(798\) | − | 4.08631i | − | 0.144654i | ||||||
\(799\) | − | 14.2880i | − | 0.505472i | ||||||
\(800\) | 5.42801i | 0.191909i | ||||||||
\(801\) | − | 21.5025i | − | 0.759752i | ||||||
\(802\) | −0.560135 | −0.0197790 | ||||||||
\(803\) | −55.9092 | −1.97299 | ||||||||
\(804\) | 1.56312i | 0.0551270i | ||||||||
\(805\) | 6.48963 | 0.228730 | ||||||||
\(806\) | −0.220132 | + | 0.454384i | −0.00775382 | + | 0.0160050i | ||||
\(807\) | −0.489634 | −0.0172359 | ||||||||
\(808\) | 22.8066i | 0.802335i | ||||||||
\(809\) | −36.0554 | −1.26764 | −0.633820 | − | 0.773480i | \(-0.718514\pi\) | ||||
−0.633820 | + | 0.773480i | \(0.718514\pi\) | |||||||
\(810\) | 4.22408 | 0.148419 | ||||||||
\(811\) | 5.31040i | 0.186473i | 0.995644 | + | 0.0932366i | \(0.0297213\pi\) | ||||
−0.995644 | + | 0.0932366i | \(0.970279\pi\) | |||||||
\(812\) | − | 11.9506i | − | 0.419385i | ||||||
\(813\) | 1.36412i | 0.0478417i | ||||||||
\(814\) | 9.70750i | 0.340248i | ||||||||
\(815\) | −12.3849 | −0.433822 | ||||||||
\(816\) | 4.90538 | 0.171723 | ||||||||
\(817\) | − | 68.1787i | − | 2.38527i | ||||||
\(818\) | 4.46060 | 0.155961 | ||||||||
\(819\) | −24.4297 | − | 11.8353i | −0.853643 | − | 0.413558i | ||||
\(820\) | 10.8560 | 0.379108 | ||||||||
\(821\) | 13.6336i | 0.475817i | 0.971288 | + | 0.237908i | \(0.0764618\pi\) | ||||
−0.971288 | + | 0.237908i | \(0.923538\pi\) | |||||||
\(822\) | 0.840202 | 0.0293054 | ||||||||
\(823\) | −39.6459 | −1.38197 | −0.690984 | − | 0.722870i | \(-0.742823\pi\) | ||||
−0.690984 | + | 0.722870i | \(0.742823\pi\) | |||||||
\(824\) | 22.3311i | 0.777942i | ||||||||
\(825\) | 2.18319i | 0.0760089i | ||||||||
\(826\) | 1.37468i | 0.0478314i | ||||||||
\(827\) | − | 23.8952i | − | 0.830918i | −0.909612 | − | 0.415459i | \(-0.863621\pi\) | ||
0.909612 | − | 0.415459i | \(-0.136379\pi\) | |||||||
\(828\) | −11.4408 | −0.397596 | ||||||||
\(829\) | 27.3562 | 0.950121 | 0.475060 | − | 0.879953i | \(-0.342426\pi\) | ||||
0.475060 | + | 0.879953i | \(0.342426\pi\) | |||||||
\(830\) | − | 5.61515i | − | 0.194905i | ||||||
\(831\) | −3.26386 | −0.113222 | ||||||||
\(832\) | −1.85997 | + | 3.83923i | −0.0644827 | + | 0.133101i | ||||
\(833\) | 0.769701 | 0.0266686 | ||||||||
\(834\) | − | 0.230697i | − | 0.00798839i | ||||||
\(835\) | 8.50811 | 0.294435 | ||||||||
\(836\) | 53.2857 | 1.84292 | ||||||||
\(837\) | 0.609505i | 0.0210676i | ||||||||
\(838\) | − | 5.83528i | − | 0.201576i | ||||||
\(839\) | 29.5411i | 1.01987i | 0.860212 | + | 0.509936i | \(0.170331\pi\) | ||||
−0.860212 | + | 0.509936i | \(0.829669\pi\) | |||||||
\(840\) | 2.40332i | 0.0829225i | ||||||||
\(841\) | −21.8560 | −0.753656 | ||||||||
\(842\) | 17.8398 | 0.614800 | ||||||||
\(843\) | 8.66226i | 0.298344i | ||||||||
\(844\) | 40.3540 | 1.38904 | ||||||||
\(845\) | 10.2017 | − | 8.05767i | 0.350948 | − | 0.277192i | ||||
\(846\) | −4.30644 | −0.148059 | ||||||||
\(847\) | 40.1417i | 1.37929i | ||||||||
\(848\) | −9.00830 | −0.309346 | ||||||||
\(849\) | −8.51601 | −0.292269 | ||||||||
\(850\) | − | 3.05767i | − | 0.104877i | ||||||
\(851\) | 8.07841i | 0.276924i | ||||||||
\(852\) | 4.47116i | 0.153180i | ||||||||
\(853\) | − | 5.61515i | − | 0.192259i | −0.995369 | − | 0.0961295i | \(-0.969354\pi\) | ||
0.995369 | − | 0.0961295i | \(-0.0306463\pi\) | |||||||
\(854\) | 8.89296 | 0.304311 | ||||||||
\(855\) | −17.5905 | −0.601581 | ||||||||
\(856\) | − | 0.294187i | − | 0.0100551i | ||||||
\(857\) | 39.9216 | 1.36370 | 0.681848 | − | 0.731494i | \(-0.261177\pi\) | ||||
0.681848 | + | 0.731494i | \(0.261177\pi\) | |||||||
\(858\) | 1.96306 | − | 4.05203i | 0.0670177 | − | 0.138334i | ||||
\(859\) | 28.6498 | 0.977520 | 0.488760 | − | 0.872418i | \(-0.337449\pi\) | ||||
0.488760 | + | 0.872418i | \(0.337449\pi\) | |||||||
\(860\) | 18.2633i | 0.622773i | ||||||||
\(861\) | 7.42405 | 0.253011 | ||||||||
\(862\) | 13.1193 | 0.446845 | ||||||||
\(863\) | − | 38.5530i | − | 1.31236i | −0.754605 | − | 0.656179i | \(-0.772172\pi\) | ||
0.754605 | − | 0.656179i | \(-0.227828\pi\) | |||||||
\(864\) | − | 13.5137i | − | 0.459747i | ||||||
\(865\) | 21.5473i | 0.732630i | ||||||||
\(866\) | 9.31661i | 0.316591i | ||||||||
\(867\) | −4.95458 | −0.168266 | ||||||||
\(868\) | 1.09462 | 0.0371537 | ||||||||
\(869\) | − | 18.5345i | − | 0.628739i | ||||||
\(870\) | −0.654353 | −0.0221846 | ||||||||
\(871\) | 7.08405 | + | 3.43196i | 0.240034 | + | 0.116288i | ||||
\(872\) | −19.0286 | −0.644391 | ||||||||
\(873\) | − | 31.9585i | − | 1.08163i | ||||||
\(874\) | −8.67282 | −0.293363 | ||||||||
\(875\) | −2.67282 | −0.0903579 | ||||||||
\(876\) | − | 7.84771i | − | 0.265150i | ||||||
\(877\) | − | 27.3826i | − | 0.924644i | −0.886712 | − | 0.462322i | \(-0.847016\pi\) | ||
0.886712 | − | 0.462322i | \(-0.152984\pi\) | |||||||
\(878\) | − | 13.5888i | − | 0.458599i | ||||||
\(879\) | 11.1361i | 0.375611i | ||||||||
\(880\) | −10.9361 | −0.368656 | ||||||||
\(881\) | 25.0841 | 0.845103 | 0.422552 | − | 0.906339i | \(-0.361135\pi\) | ||||
0.422552 | + | 0.906339i | \(0.361135\pi\) | |||||||
\(882\) | − | 0.231991i | − | 0.00781153i | ||||||
\(883\) | 50.5513 | 1.70119 | 0.850593 | − | 0.525825i | \(-0.176243\pi\) | ||||
0.850593 | + | 0.525825i | \(0.176243\pi\) | |||||||
\(884\) | 14.0573 | − | 29.0162i | 0.472797 | − | 0.975921i | ||||
\(885\) | −0.384851 | −0.0129366 | ||||||||
\(886\) | 1.57465i | 0.0529015i | ||||||||
\(887\) | −19.6583 | −0.660061 | −0.330031 | − | 0.943970i | \(-0.607059\pi\) | ||||
−0.330031 | + | 0.943970i | \(0.607059\pi\) | |||||||
\(888\) | −2.99170 | −0.100395 | ||||||||
\(889\) | 32.2386i | 1.08125i | ||||||||
\(890\) | 4.36638i | 0.146361i | ||||||||
\(891\) | 37.6689i | 1.26195i | ||||||||
\(892\) | − | 9.58611i | − | 0.320967i | ||||||
\(893\) | 16.6913 | 0.558553 | ||||||||
\(894\) | −2.77761 | −0.0928971 | ||||||||
\(895\) | − | 2.56804i | − | 0.0858401i | ||||||
\(896\) | −30.8251 | −1.02979 | ||||||||
\(897\) | 1.63362 | − | 3.37202i | 0.0545450 | − | 0.112589i | ||||
\(898\) | −15.5025 | −0.517324 | ||||||||
\(899\) | 0.654353i | 0.0218239i | ||||||||
\(900\) | 4.71203 | 0.157068 | ||||||||
\(901\) | 22.4606 | 0.748271 | ||||||||
\(902\) | − | 18.9344i | − | 0.630447i | ||||||
\(903\) | 12.4896i | 0.415629i | ||||||||
\(904\) | − | 27.2672i | − | 0.906895i | ||||||
\(905\) | 13.7305i | 0.456417i | ||||||||
\(906\) | −5.14665 | −0.170986 | ||||||||
\(907\) | −22.0537 | −0.732282 | −0.366141 | − | 0.930559i | \(-0.619321\pi\) | ||||
−0.366141 | + | 0.930559i | \(0.619321\pi\) | |||||||
\(908\) | − | 4.93967i | − | 0.163929i | ||||||
\(909\) | 30.5793 | 1.01425 | ||||||||
\(910\) | 4.96080 | + | 2.40332i | 0.164449 | + | 0.0796693i | ||||
\(911\) | −14.0079 | −0.464103 | −0.232051 | − | 0.972704i | \(-0.574544\pi\) | ||||
−0.232051 | + | 0.972704i | \(0.574544\pi\) | |||||||
\(912\) | 5.73050i | 0.189756i | ||||||||
\(913\) | 50.0739 | 1.65720 | ||||||||
\(914\) | −22.9668 | −0.759676 | ||||||||
\(915\) | 2.48963i | 0.0823048i | ||||||||
\(916\) | 42.2544i | 1.39613i | ||||||||
\(917\) | − | 20.4033i | − | 0.673777i | ||||||
\(918\) | 7.61249i | 0.251250i | ||||||||
\(919\) | 21.8353 | 0.720279 | 0.360140 | − | 0.932898i | \(-0.382729\pi\) | ||||
0.360140 | + | 0.932898i | \(0.382729\pi\) | |||||||
\(920\) | 5.10083 | 0.168169 | ||||||||
\(921\) | 1.02412i | 0.0337458i | ||||||||
\(922\) | −1.14851 | −0.0378241 | ||||||||
\(923\) | 20.2633 | + | 9.81681i | 0.666974 | + | 0.323124i | ||||
\(924\) | −9.76140 | −0.321126 | ||||||||
\(925\) | − | 3.32718i | − | 0.109397i | ||||||
\(926\) | 1.52884 | 0.0502407 | ||||||||
\(927\) | 29.9418 | 0.983416 | ||||||||
\(928\) | − | 14.5081i | − | 0.476252i | ||||||
\(929\) | − | 15.2224i | − | 0.499431i | −0.968319 | − | 0.249715i | \(-0.919663\pi\) | ||
0.968319 | − | 0.249715i | \(-0.0803370\pi\) | |||||||
\(930\) | − | 0.0599353i | − | 0.00196536i | ||||||
\(931\) | 0.899170i | 0.0294691i | ||||||||
\(932\) | −39.0532 | −1.27923 | ||||||||
\(933\) | −1.51827 | −0.0497060 | ||||||||
\(934\) | − | 18.2403i | − | 0.596841i | ||||||
\(935\) | 27.2672 | 0.891734 | ||||||||
\(936\) | −19.2017 | − | 9.30249i | −0.627626 | − | 0.304061i | ||||
\(937\) | −25.4610 | −0.831774 | −0.415887 | − | 0.909416i | \(-0.636529\pi\) | ||||
−0.415887 | + | 0.909416i | \(0.636529\pi\) | |||||||
\(938\) | 3.33774i | 0.108981i | ||||||||
\(939\) | −2.13116 | −0.0695478 | ||||||||
\(940\) | −4.47116 | −0.145833 | ||||||||
\(941\) | 24.9299i | 0.812691i | 0.913719 | + | 0.406346i | \(0.133197\pi\) | ||||
−0.913719 | + | 0.406346i | \(0.866803\pi\) | |||||||
\(942\) | − | 2.40784i | − | 0.0784518i | ||||||
\(943\) | − | 15.7569i | − | 0.513114i | ||||||
\(944\) | − | 1.92781i | − | 0.0627448i | ||||||
\(945\) | 6.65435 | 0.216466 | ||||||||
\(946\) | 31.8538 | 1.03565 | ||||||||
\(947\) | 16.6807i | 0.542051i | 0.962572 | + | 0.271025i | \(0.0873628\pi\) | ||||
−0.962572 | + | 0.271025i | \(0.912637\pi\) | |||||||
\(948\) | 2.60160 | 0.0844960 | ||||||||
\(949\) | −35.5658 | − | 17.2303i | −1.15451 | − | 0.559319i | ||||
\(950\) | 3.57199 | 0.115891 | ||||||||
\(951\) | − | 7.95854i | − | 0.258073i | ||||||
\(952\) | 30.0166 | 0.972844 | ||||||||
\(953\) | −27.1730 | −0.880221 | −0.440110 | − | 0.897944i | \(-0.645061\pi\) | ||||
−0.440110 | + | 0.897944i | \(0.645061\pi\) | |||||||
\(954\) | − | 6.76970i | − | 0.219177i | ||||||
\(955\) | − | 10.6913i | − | 0.345962i | ||||||
\(956\) | 6.34356i | 0.205165i | ||||||||
\(957\) | − | 5.83528i | − | 0.188628i | ||||||
\(958\) | −3.85206 | −0.124454 | ||||||||
\(959\) | −9.17302 | −0.296212 | ||||||||
\(960\) | − | 0.506413i | − | 0.0163444i | ||||||
\(961\) | 30.9401 | 0.998067 | ||||||||
\(962\) | −2.99170 | + | 6.17528i | −0.0964561 | + | 0.199099i | ||||
\(963\) | −0.394448 | −0.0127109 | ||||||||
\(964\) | − | 5.74106i | − | 0.184907i | ||||||
\(965\) | 19.2593 | 0.619980 | ||||||||
\(966\) | 1.58877 | 0.0511179 | ||||||||
\(967\) | 6.75914i | 0.217359i | 0.994077 | + | 0.108680i | \(0.0346622\pi\) | ||||
−0.994077 | + | 0.108680i | \(0.965338\pi\) | |||||||
\(968\) | 31.5513i | 1.01410i | ||||||||
\(969\) | − | 14.2880i | − | 0.458996i | ||||||
\(970\) | 6.48963i | 0.208370i | ||||||||
\(971\) | 46.6419 | 1.49681 | 0.748405 | − | 0.663242i | \(-0.230820\pi\) | ||||
0.748405 | + | 0.663242i | \(0.230820\pi\) | |||||||
\(972\) | −17.7816 | −0.570344 | ||||||||
\(973\) | 2.51867i | 0.0807449i | ||||||||
\(974\) | −22.6807 | −0.726737 | ||||||||
\(975\) | −0.672824 | + | 1.38880i | −0.0215476 | + | 0.0444773i | ||||
\(976\) | −12.4712 | −0.399192 | ||||||||
\(977\) | − | 52.7467i | − | 1.68752i | −0.536723 | − | 0.843758i | \(-0.680338\pi\) | ||
0.536723 | − | 0.843758i | \(-0.319662\pi\) | |||||||
\(978\) | −3.03202 | −0.0969534 | ||||||||
\(979\) | −38.9378 | −1.24446 | ||||||||
\(980\) | − | 0.240864i | − | 0.00769412i | ||||||
\(981\) | 25.5137i | 0.814591i | ||||||||
\(982\) | − | 17.7859i | − | 0.567571i | ||||||
\(983\) | − | 20.9977i | − | 0.669724i | −0.942267 | − | 0.334862i | \(-0.891310\pi\) | ||
0.942267 | − | 0.334862i | \(-0.108690\pi\) | |||||||
\(984\) | 5.83528 | 0.186022 | ||||||||
\(985\) | −17.1809 | −0.547430 | ||||||||
\(986\) | 8.17262i | 0.260269i | ||||||||
\(987\) | −3.05767 | −0.0973268 | ||||||||
\(988\) | 33.8969 | + | 16.4218i | 1.07840 | + | 0.522447i | ||||
\(989\) | 26.5081 | 0.842909 | ||||||||
\(990\) | − | 8.21844i | − | 0.261199i | ||||||
\(991\) | −32.3170 | −1.02658 | −0.513292 | − | 0.858214i | \(-0.671574\pi\) | ||||
−0.513292 | + | 0.858214i | \(0.671574\pi\) | |||||||
\(992\) | 1.32887 | 0.0421916 | ||||||||
\(993\) | 2.53376i | 0.0804064i | ||||||||
\(994\) | 9.54731i | 0.302822i | ||||||||
\(995\) | − | 11.5473i | − | 0.366074i | ||||||
\(996\) | 7.02864i | 0.222711i | ||||||||
\(997\) | −21.3905 | −0.677444 | −0.338722 | − | 0.940887i | \(-0.609995\pi\) | ||||
−0.338722 | + | 0.940887i | \(0.609995\pi\) | |||||||
\(998\) | −7.49811 | −0.237348 | ||||||||
\(999\) | 8.28345i | 0.262077i |
(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 | 65.2.c.a.51.3 | ✓ | 6 | |
3.2 | odd | 2 | 585.2.b.g.181.4 | 6 | |||
4.3 | odd | 2 | 1040.2.k.d.961.4 | 6 | |||
5.2 | odd | 4 | 325.2.d.f.324.4 | 6 | |||
5.3 | odd | 4 | 325.2.d.e.324.3 | 6 | |||
5.4 | even | 2 | 325.2.c.g.51.4 | 6 | |||
13.2 | odd | 12 | 845.2.e.k.191.2 | 6 | |||
13.3 | even | 3 | 845.2.m.h.316.4 | 12 | |||
13.4 | even | 6 | 845.2.m.h.361.4 | 12 | |||
13.5 | odd | 4 | 845.2.a.i.1.2 | 3 | |||
13.6 | odd | 12 | 845.2.e.k.146.2 | 6 | |||
13.7 | odd | 12 | 845.2.e.i.146.2 | 6 | |||
13.8 | odd | 4 | 845.2.a.k.1.2 | 3 | |||
13.9 | even | 3 | 845.2.m.h.361.3 | 12 | |||
13.10 | even | 6 | 845.2.m.h.316.3 | 12 | |||
13.11 | odd | 12 | 845.2.e.i.191.2 | 6 | |||
13.12 | even | 2 | inner | 65.2.c.a.51.4 | yes | 6 | |
39.5 | even | 4 | 7605.2.a.cc.1.2 | 3 | |||
39.8 | even | 4 | 7605.2.a.bs.1.2 | 3 | |||
39.38 | odd | 2 | 585.2.b.g.181.3 | 6 | |||
52.51 | odd | 2 | 1040.2.k.d.961.3 | 6 | |||
65.12 | odd | 4 | 325.2.d.e.324.4 | 6 | |||
65.34 | odd | 4 | 4225.2.a.bc.1.2 | 3 | |||
65.38 | odd | 4 | 325.2.d.f.324.3 | 6 | |||
65.44 | odd | 4 | 4225.2.a.be.1.2 | 3 | |||
65.64 | even | 2 | 325.2.c.g.51.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
65.2.c.a.51.3 | ✓ | 6 | 1.1 | even | 1 | trivial | |
65.2.c.a.51.4 | yes | 6 | 13.12 | even | 2 | inner | |
325.2.c.g.51.3 | 6 | 65.64 | even | 2 | |||
325.2.c.g.51.4 | 6 | 5.4 | even | 2 | |||
325.2.d.e.324.3 | 6 | 5.3 | odd | 4 | |||
325.2.d.e.324.4 | 6 | 65.12 | odd | 4 | |||
325.2.d.f.324.3 | 6 | 65.38 | odd | 4 | |||
325.2.d.f.324.4 | 6 | 5.2 | odd | 4 | |||
585.2.b.g.181.3 | 6 | 39.38 | odd | 2 | |||
585.2.b.g.181.4 | 6 | 3.2 | odd | 2 | |||
845.2.a.i.1.2 | 3 | 13.5 | odd | 4 | |||
845.2.a.k.1.2 | 3 | 13.8 | odd | 4 | |||
845.2.e.i.146.2 | 6 | 13.7 | odd | 12 | |||
845.2.e.i.191.2 | 6 | 13.11 | odd | 12 | |||
845.2.e.k.146.2 | 6 | 13.6 | odd | 12 | |||
845.2.e.k.191.2 | 6 | 13.2 | odd | 12 | |||
845.2.m.h.316.3 | 12 | 13.10 | even | 6 | |||
845.2.m.h.316.4 | 12 | 13.3 | even | 3 | |||
845.2.m.h.361.3 | 12 | 13.9 | even | 3 | |||
845.2.m.h.361.4 | 12 | 13.4 | even | 6 | |||
1040.2.k.d.961.3 | 6 | 52.51 | odd | 2 | |||
1040.2.k.d.961.4 | 6 | 4.3 | odd | 2 | |||
4225.2.a.bc.1.2 | 3 | 65.34 | odd | 4 | |||
4225.2.a.be.1.2 | 3 | 65.44 | odd | 4 | |||
7605.2.a.bs.1.2 | 3 | 39.8 | even | 4 | |||
7605.2.a.cc.1.2 | 3 | 39.5 | even | 4 |