Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(193,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.q (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1156923.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 12x^{4} - 19x^{3} + 27x^{2} - 18x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 289.3 | ||
Root | \(0.500000 + 2.43956i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 672.289 |
Dual form | 672.2.q.k.193.3 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.60074 | − | 2.77256i | 0.715871 | − | 1.23992i | −0.246752 | − | 0.969079i | \(-0.579363\pi\) |
0.962623 | − | 0.270846i | \(-0.0873035\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.02398 | − | 2.43956i | −0.387027 | − | 0.922069i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.12471 | − | 3.68011i | −0.640625 | − | 1.10959i | −0.985293 | − | 0.170871i | \(-0.945342\pi\) |
0.344669 | − | 0.938724i | \(-0.387991\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.15352 | −0.874629 | −0.437314 | − | 0.899309i | \(-0.644070\pi\) | ||||
−0.437314 | + | 0.899309i | \(0.644070\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.20147 | −0.826617 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.20147 | + | 3.81306i | 0.533935 | + | 0.924803i | 0.999214 | + | 0.0396391i | \(0.0126208\pi\) |
−0.465279 | + | 0.885164i | \(0.654046\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.57676 | + | 2.73103i | −0.361734 | + | 0.626541i | −0.988246 | − | 0.152870i | \(-0.951148\pi\) |
0.626513 | + | 0.779411i | \(0.284482\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.60074 | + | 2.10657i | −0.349309 | + | 0.459692i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.20147 | + | 3.81306i | −0.459039 | + | 0.795078i | −0.998910 | − | 0.0466689i | \(-0.985139\pi\) |
0.539872 | + | 0.841747i | \(0.318473\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.62471 | − | 4.54614i | −0.524943 | − | 0.909227i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.20147 | 1.33728 | 0.668640 | − | 0.743586i | \(-0.266877\pi\) | ||||
0.668640 | + | 0.743586i | \(0.266877\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.02398 | − | 1.77358i | −0.183912 | − | 0.318544i | 0.759298 | − | 0.650744i | \(-0.225543\pi\) |
−0.943209 | + | 0.332199i | \(0.892209\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.12471 | + | 3.68011i | −0.369865 | + | 0.640625i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −8.40294 | − | 1.06607i | −1.42036 | − | 0.180198i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.82618 | − | 8.35920i | 0.793420 | − | 1.37424i | −0.130418 | − | 0.991459i | \(-0.541632\pi\) |
0.923838 | − | 0.382784i | \(-0.125035\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.57676 | + | 2.73103i | 0.252484 | + | 0.437314i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.4989 | −1.63964 | −0.819822 | − | 0.572618i | \(-0.805928\pi\) | ||||
−0.819822 | + | 0.572618i | \(0.805928\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.750575 | 0.114462 | 0.0572308 | − | 0.998361i | \(-0.481773\pi\) | ||||
0.0572308 | + | 0.998361i | \(0.481773\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.60074 | + | 2.77256i | 0.238624 | + | 0.413308i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.20147 | − | 2.08101i | 0.175253 | − | 0.303547i | −0.764996 | − | 0.644035i | \(-0.777259\pi\) |
0.940249 | + | 0.340488i | \(0.110592\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.90294 | + | 4.99611i | −0.700421 | + | 0.713730i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.20147 | − | 3.81306i | 0.308268 | − | 0.533935i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.64869 | + | 2.85561i | 0.226465 | + | 0.392249i | 0.956758 | − | 0.290885i | \(-0.0939498\pi\) |
−0.730293 | + | 0.683134i | \(0.760616\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −13.6044 | −1.83442 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.15352 | 0.417694 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.12471 | − | 7.14421i | −0.536992 | − | 0.930097i | −0.999064 | − | 0.0432549i | \(-0.986227\pi\) |
0.462072 | − | 0.886842i | \(-0.347106\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.04795 | − | 7.01126i | 0.518287 | − | 0.897700i | −0.481487 | − | 0.876453i | \(-0.659903\pi\) |
0.999774 | − | 0.0212466i | \(-0.00676352\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.62471 | + | 0.332992i | 0.330683 | + | 0.0419531i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.04795 | + | 8.74331i | −0.626121 | + | 1.08447i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.57676 | − | 4.46308i | −0.314801 | − | 0.545252i | 0.664594 | − | 0.747205i | \(-0.268605\pi\) |
−0.979395 | + | 0.201953i | \(0.935271\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.40294 | 0.530052 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.40294 | 0.759890 | 0.379945 | − | 0.925009i | \(-0.375943\pi\) | ||||
0.379945 | + | 0.925009i | \(0.375943\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.62471 | − | 13.2064i | −0.892405 | − | 1.54569i | −0.836984 | − | 0.547228i | \(-0.815683\pi\) |
−0.0554215 | − | 0.998463i | \(-0.517650\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.62471 | + | 4.54614i | −0.303076 | + | 0.524943i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.80221 | + | 8.95172i | −0.775184 | + | 1.02014i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.22545 | − | 14.2469i | 0.925435 | − | 1.60290i | 0.134576 | − | 0.990903i | \(-0.457033\pi\) |
0.790860 | − | 0.611998i | \(-0.209634\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 14.5565 | 1.59778 | 0.798890 | − | 0.601477i | \(-0.205421\pi\) | ||||
0.798890 | + | 0.601477i | \(0.205421\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 14.0959 | 1.52892 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.60074 | − | 6.23666i | −0.386039 | − | 0.668640i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.20147 | + | 2.08101i | −0.127356 | + | 0.220587i | −0.922651 | − | 0.385635i | \(-0.873982\pi\) |
0.795296 | + | 0.606222i | \(0.207316\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.22913 | + | 7.69321i | 0.338505 | + | 0.806468i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.02398 | + | 1.77358i | −0.106181 | + | 0.183912i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.04795 | + | 8.74331i | 0.517909 | + | 0.897045i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.24943 | 0.431464 | 0.215732 | − | 0.976453i | \(-0.430786\pi\) | ||||
0.215732 | + | 0.976453i | \(0.430786\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.24943 | 0.427083 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.95205 | − | 3.38104i | −0.194236 | − | 0.336427i | 0.752414 | − | 0.658691i | \(-0.228889\pi\) |
−0.946650 | + | 0.322264i | \(0.895556\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.62471 | + | 8.01024i | −0.455686 | + | 0.789272i | −0.998727 | − | 0.0504341i | \(-0.983940\pi\) |
0.543041 | + | 0.839706i | \(0.317273\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.27823 | + | 7.81020i | 0.319923 | + | 0.762197i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.27823 | + | 14.3383i | −0.800287 | + | 1.38614i | 0.119140 | + | 0.992877i | \(0.461986\pi\) |
−0.919427 | + | 0.393260i | \(0.871347\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.0277 | − | 17.3684i | −0.960475 | − | 1.66359i | −0.721309 | − | 0.692614i | \(-0.756459\pi\) |
−0.239167 | − | 0.970979i | \(-0.576874\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.65237 | −0.916162 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.00000 | 0.752577 | 0.376288 | − | 0.926503i | \(-0.377200\pi\) | ||||
0.376288 | + | 0.926503i | \(0.377200\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.04795 | + | 12.2074i | 0.657225 | + | 1.13835i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.57676 | − | 2.73103i | 0.145771 | − | 0.252484i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 7.04795 | − | 9.27512i | 0.646085 | − | 0.850249i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.52881 | + | 6.11207i | −0.320801 | + | 0.555643i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 5.24943 | + | 9.09227i | 0.473325 | + | 0.819822i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.798528 | −0.0714225 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.4509 | 1.10484 | 0.552419 | − | 0.833566i | \(-0.313705\pi\) | ||||
0.552419 | + | 0.833566i | \(0.313705\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.375287 | − | 0.650017i | −0.0330422 | − | 0.0572308i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.12471 | + | 3.68011i | −0.185637 | + | 0.321533i | −0.943791 | − | 0.330543i | \(-0.892768\pi\) |
0.758154 | + | 0.652076i | \(0.226102\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.27708 | + | 1.05010i | 0.717714 | + | 0.0910551i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.60074 | − | 2.77256i | 0.137769 | − | 0.238624i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.20147 | + | 9.00921i | 0.444392 | + | 0.769709i | 0.998010 | − | 0.0630617i | \(-0.0200865\pi\) |
−0.553618 | + | 0.832771i | \(0.686753\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.6524 | 0.988341 | 0.494171 | − | 0.869365i | \(-0.335472\pi\) | ||||
0.494171 | + | 0.869365i | \(0.335472\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.40294 | −0.202364 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.70032 | + | 11.6053i | 0.560309 | + | 0.970484i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.5277 | − | 19.9665i | 0.957320 | − | 1.65813i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 6.77823 | + | 1.74802i | 0.559059 | + | 0.144174i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.20147 | + | 9.00921i | −0.426121 | + | 0.738064i | −0.996524 | − | 0.0833012i | \(-0.973454\pi\) |
0.570403 | + | 0.821365i | \(0.306787\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.0037 | + | 17.3269i | 0.814088 | + | 1.41004i | 0.909981 | + | 0.414650i | \(0.136096\pi\) |
−0.0958929 | + | 0.995392i | \(0.530571\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.40294 | −0.355957 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.55646 | −0.526628 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.24943 | − | 12.5564i | −0.578567 | − | 1.00211i | −0.995644 | − | 0.0932364i | \(-0.970279\pi\) |
0.417077 | − | 0.908871i | \(-0.363055\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.64869 | − | 2.85561i | 0.130750 | − | 0.226465i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.5565 | + | 1.46615i | 0.910777 | + | 0.115549i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.35499 | − | 9.27512i | 0.419435 | − | 0.726483i | −0.576447 | − | 0.817134i | \(-0.695561\pi\) |
0.995883 | + | 0.0906510i | \(0.0288948\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.80221 | + | 11.7818i | 0.529551 | + | 0.917210i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 17.3047 | 1.33908 | 0.669540 | − | 0.742776i | \(-0.266491\pi\) | ||||
0.669540 | + | 0.742776i | \(0.266491\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.05531 | −0.235024 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.57676 | − | 2.73103i | −0.120578 | − | 0.208847i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.95205 | − | 3.38104i | 0.148411 | − | 0.257056i | −0.782229 | − | 0.622991i | \(-0.785917\pi\) |
0.930640 | + | 0.365935i | \(0.119251\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.40294 | + | 11.0583i | −0.635203 | + | 0.835928i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.12471 | + | 7.14421i | −0.310032 | + | 0.536992i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.4029 | − | 18.0184i | −0.777553 | − | 1.34676i | −0.933349 | − | 0.358971i | \(-0.883128\pi\) |
0.155796 | − | 0.987789i | \(-0.450206\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.2494 | −0.984822 | −0.492411 | − | 0.870363i | \(-0.663884\pi\) | ||||
−0.492411 | + | 0.870363i | \(0.663884\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.09591 | −0.598467 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −15.4509 | − | 26.7617i | −1.13597 | − | 1.96756i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.35499 | − | 16.2033i | 0.684105 | − | 1.18490i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.02398 | − | 2.43956i | −0.0744833 | − | 0.177452i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.09591 | + | 3.63021i | −0.151654 | + | 0.262673i | −0.931836 | − | 0.362880i | \(-0.881793\pi\) |
0.780181 | + | 0.625553i | \(0.215127\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.15237 | + | 15.8524i | 0.658802 | + | 1.14108i | 0.980926 | + | 0.194381i | \(0.0622698\pi\) |
−0.322124 | + | 0.946697i | \(0.604397\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 10.0959 | 0.722983 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.9041 | 0.848132 | 0.424066 | − | 0.905631i | \(-0.360603\pi\) | ||||
0.424066 | + | 0.905631i | \(0.360603\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.402945 | − | 0.697921i | −0.0285640 | − | 0.0494743i | 0.851390 | − | 0.524533i | \(-0.175760\pi\) |
−0.879954 | + | 0.475059i | \(0.842427\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.57676 | + | 4.46308i | −0.181751 | + | 0.314801i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −7.37414 | − | 17.5685i | −0.517563 | − | 1.23306i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −16.8059 | + | 29.1087i | −1.17377 | + | 2.03304i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.20147 | − | 3.81306i | −0.153013 | − | 0.265026i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 13.4006 | 0.926942 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.49885 | 0.585085 | 0.292542 | − | 0.956253i | \(-0.405499\pi\) | ||||
0.292542 | + | 0.956253i | \(0.405499\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.20147 | − | 5.54511i | −0.219361 | − | 0.379945i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.20147 | − | 2.08101i | 0.0819397 | − | 0.141924i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.27823 | + | 4.31416i | −0.222541 | + | 0.292864i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.62471 | + | 13.2064i | −0.515230 | + | 0.892405i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.94239 | − | 12.0246i | −0.466995 | − | 0.808860i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.7985 | −1.12491 | −0.562456 | − | 0.826827i | \(-0.690144\pi\) | ||||
−0.562456 | + | 0.826827i | \(0.690144\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.24943 | 0.349962 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.43175 | + | 14.6042i | 0.559635 | + | 0.969316i | 0.997527 | + | 0.0702885i | \(0.0223920\pi\) |
−0.437892 | + | 0.899028i | \(0.644275\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.2771 | + | 17.8004i | −0.679129 | + | 1.17629i | 0.296115 | + | 0.955152i | \(0.404309\pi\) |
−0.975244 | + | 0.221133i | \(0.929024\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.1535 | + | 1.41503i | 0.733848 | + | 0.0931019i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.95205 | + | 8.57720i | −0.324419 | + | 0.561911i | −0.981395 | − | 0.192001i | \(-0.938502\pi\) |
0.656975 | + | 0.753912i | \(0.271836\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.84648 | − | 6.66230i | −0.250917 | − | 0.434601i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −16.4509 | −1.06860 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.40294 | 0.284803 | 0.142401 | − | 0.989809i | \(-0.454518\pi\) | ||||
0.142401 | + | 0.989809i | \(0.454518\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.4318 | − | 18.0683i | −0.671968 | − | 1.16388i | −0.977345 | − | 0.211652i | \(-0.932116\pi\) |
0.305377 | − | 0.952232i | \(-0.401218\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.00368 | + | 21.5911i | 0.383561 | + | 1.37941i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.97234 | − | 8.61235i | 0.316383 | − | 0.547991i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.27823 | − | 12.6063i | −0.461239 | − | 0.798890i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.44354 | 0.217354 | 0.108677 | − | 0.994077i | \(-0.465339\pi\) | ||||
0.108677 | + | 0.994077i | \(0.465339\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.7100 | 1.17629 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.04795 | − | 12.2074i | −0.441360 | − | 0.764458i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.79853 | − | 4.84719i | 0.174567 | − | 0.302360i | −0.765444 | − | 0.643502i | \(-0.777481\pi\) |
0.940011 | + | 0.341143i | \(0.110814\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −25.3347 | − | 3.21417i | −1.57422 | − | 0.199719i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.60074 | + | 6.23666i | −0.222880 | + | 0.386039i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.798528 | + | 1.38309i | 0.0492393 | + | 0.0852850i | 0.889595 | − | 0.456751i | \(-0.150987\pi\) |
−0.840355 | + | 0.542036i | \(0.817654\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.5565 | 0.648478 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.40294 | 0.147058 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.85016 | − | 15.3289i | −0.539604 | − | 0.934621i | −0.998925 | − | 0.0463511i | \(-0.985241\pi\) |
0.459321 | − | 0.888270i | \(-0.348093\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.19779 | − | 2.07464i | 0.0727607 | − | 0.126025i | −0.827350 | − | 0.561687i | \(-0.810152\pi\) |
0.900110 | + | 0.435662i | \(0.143486\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.04795 | − | 6.64311i | 0.305516 | − | 0.402060i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −11.1535 | + | 19.3185i | −0.672583 | + | 1.16495i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.62471 | + | 4.54614i | 0.157704 | + | 0.273151i | 0.934040 | − | 0.357168i | \(-0.116258\pi\) |
−0.776337 | + | 0.630319i | \(0.782924\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.04795 | 0.122608 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 20.0959 | 1.19882 | 0.599411 | − | 0.800442i | \(-0.295402\pi\) | ||||
0.599411 | + | 0.800442i | \(0.295402\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.6247 | + | 20.1346i | 0.691017 | + | 1.19688i | 0.971505 | + | 0.237020i | \(0.0761706\pi\) |
−0.280487 | + | 0.959858i | \(0.590496\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.04795 | − | 8.74331i | 0.299015 | − | 0.517909i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.7506 | + | 25.6126i | 0.634586 | + | 1.51186i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.19296 | + | 2.06627i | −0.0701742 | + | 0.121545i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.12471 | − | 3.68011i | −0.124553 | − | 0.215732i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.2015 | 0.654397 | 0.327199 | − | 0.944956i | \(-0.393895\pi\) | ||||
0.327199 | + | 0.944956i | \(0.393895\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −26.4103 | −1.53767 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.12471 | − | 3.68011i | −0.123288 | − | 0.213542i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 6.94239 | − | 12.0246i | 0.401489 | − | 0.695399i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.768571 | − | 1.83108i | −0.0442997 | − | 0.105541i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.95205 | + | 3.38104i | −0.112142 | + | 0.194236i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −12.9594 | − | 22.4464i | −0.742054 | − | 1.28527i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.9571 | −1.65267 | −0.826335 | − | 0.563179i | \(-0.809578\pi\) | ||||
−0.826335 | + | 0.563179i | \(0.809578\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.24943 | 0.526181 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.6524 | − | 23.6466i | −0.774155 | − | 1.34088i | −0.935268 | − | 0.353940i | \(-0.884842\pi\) |
0.161113 | − | 0.986936i | \(-0.448492\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.74943 | − | 4.76214i | 0.155407 | − | 0.269172i | −0.777800 | − | 0.628511i | \(-0.783665\pi\) |
0.933207 | + | 0.359339i | \(0.116998\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.12471 | − | 6.74413i | 0.288745 | − | 0.379989i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.80221 | − | 8.31767i | 0.269719 | − | 0.467167i | −0.699070 | − | 0.715053i | \(-0.746403\pi\) |
0.968789 | + | 0.247886i | \(0.0797359\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.3011 | − | 26.5022i | −0.856695 | − | 1.48384i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 16.5565 | 0.924092 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.8848 | −0.772569 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.27708 | + | 14.3363i | 0.459130 | + | 0.795236i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −10.0277 | + | 17.3684i | −0.554531 | + | 0.960475i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.30704 | − | 0.800162i | −0.347718 | − | 0.0441144i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.77823 | + | 13.4723i | −0.427530 | + | 0.740504i | −0.996653 | − | 0.0817484i | \(-0.973950\pi\) |
0.569123 | + | 0.822253i | \(0.307283\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.82618 | + | 8.35920i | 0.264473 | + | 0.458081i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −16.4989 | −0.901428 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.9977 | 0.980397 | 0.490199 | − | 0.871611i | \(-0.336924\pi\) | ||||
0.490199 | + | 0.871611i | \(0.336924\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −4.00000 | − | 6.92820i | −0.217250 | − | 0.376288i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.35131 | + | 7.53669i | −0.235637 | + | 0.408135i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.2088 | + | 6.84515i | 0.929190 | + | 0.369603i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.04795 | − | 12.2074i | 0.379449 | − | 0.657225i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.84648 | − | 4.93025i | −0.152807 | − | 0.264670i | 0.779451 | − | 0.626463i | \(-0.215498\pi\) |
−0.932258 | + | 0.361793i | \(0.882165\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.1918 | −0.973785 | −0.486893 | − | 0.873462i | \(-0.661870\pi\) | ||||
−0.486893 | + | 0.873462i | \(0.661870\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.15352 | −0.168322 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 10.4989 | + | 18.1845i | 0.558797 | + | 0.967866i | 0.997597 | + | 0.0692807i | \(0.0220704\pi\) |
−0.438800 | + | 0.898585i | \(0.644596\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2494 | − | 17.7525i | 0.543983 | − | 0.942206i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −11.5565 | − | 1.46615i | −0.611633 | − | 0.0775967i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.3453 | − | 21.3827i | 0.651562 | − | 1.12854i | −0.331182 | − | 0.943567i | \(-0.607448\pi\) |
0.982744 | − | 0.184971i | \(-0.0592191\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.52766 | + | 7.84213i | 0.238298 | + | 0.412744i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 7.05761 | 0.370429 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −48.8206 | −2.55539 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.92807 | + | 5.07157i | 0.152844 | + | 0.264734i | 0.932272 | − | 0.361758i | \(-0.117823\pi\) |
−0.779428 | + | 0.626492i | \(0.784490\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.24943 | − | 9.09227i | 0.273274 | − | 0.473325i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.27823 | − | 6.94616i | 0.274032 | − | 0.360627i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.317673 | + | 0.550227i | −0.0164485 | + | 0.0284897i | −0.874132 | − | 0.485688i | \(-0.838569\pi\) |
0.857684 | + | 0.514177i | \(0.171903\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.399264 | + | 0.691545i | 0.0206179 | + | 0.0357112i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −22.7100 | −1.16962 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.7506 | 0.552220 | 0.276110 | − | 0.961126i | \(-0.410955\pi\) | ||||
0.276110 | + | 0.961126i | \(0.410955\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.22545 | − | 10.7828i | −0.318939 | − | 0.552419i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.49885 | + | 12.9884i | −0.383173 | + | 0.663676i | −0.991514 | − | 0.130000i | \(-0.958502\pi\) |
0.608341 | + | 0.793676i | \(0.291835\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.9306 | + | 33.1888i | 0.709969 | + | 1.69146i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.375287 | + | 0.650017i | −0.0190769 | + | 0.0330422i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.10557 | − | 5.37900i | −0.157458 | − | 0.272726i | 0.776493 | − | 0.630126i | \(-0.216997\pi\) |
−0.933952 | + | 0.357400i | \(0.883663\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.3859 | −0.980388 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.24943 | 0.214355 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −26.3335 | − | 45.6110i | −1.32498 | − | 2.29494i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.624713 | + | 1.08203i | −0.0313534 | + | 0.0543057i | −0.881276 | − | 0.472601i | \(-0.843315\pi\) |
0.849923 | + | 0.526907i | \(0.176648\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.22913 | − | 7.69321i | −0.161659 | − | 0.385142i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.05761 | + | 1.83184i | −0.0528147 | + | 0.0914778i | −0.891224 | − | 0.453563i | \(-0.850153\pi\) |
0.838409 | + | 0.545041i | \(0.183486\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.22913 | + | 5.59302i | 0.160854 | + | 0.278608i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.20147 | −0.159082 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −41.0170 | −2.03314 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.05646 | + | 13.9542i | 0.398367 | + | 0.689991i | 0.993525 | − | 0.113618i | \(-0.0362439\pi\) |
−0.595158 | + | 0.803609i | \(0.702911\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.20147 | − | 9.00921i | 0.256570 | − | 0.444392i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.2052 | + | 17.3780i | −0.649783 | + | 0.855116i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 23.3011 | − | 40.3586i | 1.14380 | − | 1.98113i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.82618 | − | 10.0912i | −0.285310 | − | 0.494171i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.1106 | −0.982469 | −0.491234 | − | 0.871027i | \(-0.663454\pi\) | ||||
−0.491234 | + | 0.871027i | \(0.663454\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.96171 | 0.241819 | 0.120909 | − | 0.992664i | \(-0.461419\pi\) | ||||
0.120909 | + | 0.992664i | \(0.461419\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.20147 | + | 2.08101i | 0.0584176 | + | 0.101182i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 11.5565 | − | 20.0164i | 0.560571 | − | 0.970937i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.2494 | − | 2.69588i | −1.02833 | − | 0.130463i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.70032 | − | 11.6053i | 0.323495 | − | 0.560309i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.4029 | + | 18.0184i | 0.501092 | + | 0.867917i | 0.999999 | + | 0.00126164i | \(0.000401592\pi\) |
−0.498907 | + | 0.866656i | \(0.666265\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.05531 | −0.387114 | −0.193557 | − | 0.981089i | \(-0.562002\pi\) | ||||
−0.193557 | + | 0.981089i | \(0.562002\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −23.0553 | −1.10542 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.94239 | − | 12.0246i | −0.332099 | − | 0.575213i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.09959 | − | 14.0289i | 0.386572 | − | 0.669563i | −0.605414 | − | 0.795911i | \(-0.706992\pi\) |
0.991986 | + | 0.126348i | \(0.0403257\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.87529 | − | 6.74413i | −0.0892994 | − | 0.321149i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.72177 | + | 13.3745i | −0.366872 | + | 0.635441i | −0.989075 | − | 0.147415i | \(-0.952905\pi\) |
0.622202 | + | 0.782856i | \(0.286238\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.84648 | + | 6.66230i | 0.182341 | + | 0.315823i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 10.4029 | 0.492042 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.5159 | 1.48733 | 0.743663 | − | 0.668555i | \(-0.233087\pi\) | ||||
0.743663 | + | 0.668555i | \(0.233087\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.3070 | + | 38.6369i | 1.05040 | + | 1.81934i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 10.0037 | − | 17.3269i | 0.470014 | − | 0.814088i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 26.4989 | + | 3.36186i | 1.24229 | + | 0.157606i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.55761 | − | 9.62607i | 0.259974 | − | 0.450289i | −0.706260 | − | 0.707952i | \(-0.749619\pi\) |
0.966235 | + | 0.257664i | \(0.0829526\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.20147 | + | 3.81306i | 0.102756 | + | 0.177978i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.5971 | 0.633278 | 0.316639 | − | 0.948546i | \(-0.397446\pi\) | ||||
0.316639 | + | 0.948546i | \(0.397446\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.55876 | 0.118916 | 0.0594579 | − | 0.998231i | \(-0.481063\pi\) | ||||
0.0594579 | + | 0.998231i | \(0.481063\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.27823 | + | 5.67806i | 0.152024 | + | 0.263314i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.307039 | − | 0.531807i | 0.0142081 | − | 0.0246091i | −0.858834 | − | 0.512254i | \(-0.828811\pi\) |
0.873042 | + | 0.487645i | \(0.162144\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.24943 | + | 10.8563i | −0.380923 | + | 0.501295i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −7.24943 | + | 12.5564i | −0.334036 | + | 0.578567i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.59476 | − | 2.76220i | −0.0733270 | − | 0.127006i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.5542 | 0.759557 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.29738 | −0.150977 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.0480 | − | 17.4036i | −0.459103 | − | 0.795189i | 0.539811 | − | 0.841786i | \(-0.318496\pi\) |
−0.998914 | + | 0.0465970i | \(0.985162\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.2195 | + | 26.3609i | −0.693948 | + | 1.20195i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.50851 | − | 10.7413i | −0.205144 | − | 0.488744i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.80221 | − | 11.7818i | 0.308872 | − | 0.534983i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.6860 | − | 20.2408i | −0.529544 | − | 0.917196i | −0.999406 | − | 0.0344568i | \(-0.989030\pi\) |
0.469863 | − | 0.882740i | \(-0.344303\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −10.7100 | −0.484322 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.7483 | 1.02662 | 0.513308 | − | 0.858205i | \(-0.328420\pi\) | ||||
0.513308 | + | 0.858205i | \(0.328420\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.8538 | + | 27.4597i | 0.714021 | + | 1.23672i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.80221 | − | 11.7818i | 0.305737 | − | 0.529551i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6.55646 | − | 15.6204i | −0.294098 | − | 0.700670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.26972 | − | 7.39537i | 0.191139 | − | 0.331062i | −0.754489 | − | 0.656313i | \(-0.772115\pi\) |
0.945628 | + | 0.325250i | \(0.105449\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.65237 | − | 14.9863i | −0.386559 | − | 0.669540i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.59706 | 0.338736 | 0.169368 | − | 0.985553i | \(-0.445827\pi\) | ||||
0.169368 | + | 0.985553i | \(0.445827\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4989 | −0.556192 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.52766 | + | 2.64598i | 0.0678456 | + | 0.117512i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.49517 | − | 4.32176i | 0.110596 | − | 0.191559i | −0.805414 | − | 0.592712i | \(-0.798057\pi\) |
0.916011 | + | 0.401153i | \(0.131391\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.4103 | + | 32.1240i | −1.07985 | + | 1.42108i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.57676 | + | 2.73103i | −0.0696156 | + | 0.120578i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.8059 | + | 25.6446i | 0.652425 | + | 1.13003i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.2111 | −0.449085 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.90409 | −0.171371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.24943 | + | 10.8243i | 0.273792 | + | 0.474222i | 0.969830 | − | 0.243783i | \(-0.0783886\pi\) |
−0.696037 | + | 0.718005i | \(0.745055\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.1309 | + | 38.3319i | −0.967718 | + | 1.67614i | −0.265589 | + | 0.964086i | \(0.585566\pi\) |
−0.702129 | + | 0.712050i | \(0.747767\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 13.7782 | + | 1.74802i | 0.601331 | + | 0.0762898i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.50851 | − | 7.80897i | 0.196394 | − | 0.340164i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.80704 | + | 3.12988i | 0.0785669 | + | 0.136082i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 8.24943 | 0.357995 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 33.1083 | 1.43408 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 26.5025 | + | 45.9037i | 1.14580 | + | 1.98459i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.4029 | + | 18.0184i | −0.448920 | + | 0.777553i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 28.8036 | + | 7.42807i | 1.24066 | + | 0.319950i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.9797 | + | 22.4815i | −0.558041 | + | 0.966556i | 0.439619 | + | 0.898184i | \(0.355114\pi\) |
−0.997660 | + | 0.0683711i | \(0.978220\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.62471 | + | 11.4743i | 0.284294 | + | 0.492411i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −64.2065 | −2.75031 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.9018 | 0.979210 | 0.489605 | − | 0.871944i | \(-0.337141\pi\) | ||||
0.489605 | + | 0.871944i | \(0.337141\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.04795 | + | 7.01126i | 0.172762 | + | 0.299233i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.3550 | + | 19.6674i | −0.483739 | + | 0.837860i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −43.1789 | − | 5.47802i | −1.83615 | − | 0.232949i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −15.4509 | + | 26.7617i | −0.655854 | + | 1.13597i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.25311 | + | 5.63454i | 0.137839 | + | 0.238743i | 0.926678 | − | 0.375856i | \(-0.122651\pi\) |
−0.788840 | + | 0.614599i | \(0.789318\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.36695 | −0.100111 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −18.7100 | −0.789936 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22.1224 | + | 38.3171i | 0.932349 | + | 1.61488i | 0.779295 | + | 0.626657i | \(0.215577\pi\) |
0.153053 | + | 0.988218i | \(0.451089\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.8059 | − | 22.1805i | 0.538748 | − | 0.933139i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.60074 | + | 2.10657i | −0.0672246 | + | 0.0884677i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.50851 | − | 11.2731i | 0.272851 | − | 0.472592i | −0.696740 | − | 0.717324i | \(-0.745367\pi\) |
0.969591 | + | 0.244732i | \(0.0787001\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.0853 | − | 26.1285i | −0.631299 | − | 1.09344i | −0.987286 | − | 0.158951i | \(-0.949189\pi\) |
0.355987 | − | 0.934491i | \(-0.384145\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.19181 | 0.175115 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.1129 | 0.963876 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 14.9029 | + | 25.8127i | 0.620418 | + | 1.07459i | 0.989408 | + | 0.145162i | \(0.0463702\pi\) |
−0.368990 | + | 0.929433i | \(0.620296\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 9.15237 | − | 15.8524i | 0.380360 | − | 0.658802i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −14.9055 | − | 35.5114i | −0.618383 | − | 1.47326i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.00598 | − | 12.1347i | 0.290158 | − | 0.502568i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.04795 | − | 8.74331i | −0.208707 | − | 0.361491i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.2494 | 0.753234 | 0.376617 | − | 0.926369i | \(-0.377087\pi\) | ||||
0.376617 | + | 0.926369i | \(0.377087\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.45826 | 0.266108 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.95205 | − | 10.3092i | −0.244835 | − | 0.424066i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 11.8944 | − | 20.6018i | 0.488446 | − | 0.846013i | −0.511466 | − | 0.859304i | \(-0.670897\pi\) |
0.999912 | + | 0.0132906i | \(0.00423066\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −14.4339 | − | 34.3879i | −0.591731 | − | 1.40976i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.402945 | + | 0.697921i | −0.0164914 | + | 0.0285640i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.75057 | + | 13.4244i | 0.316680 | + | 0.548506i | 0.979793 | − | 0.200013i | \(-0.0640986\pi\) |
−0.663113 | + | 0.748519i | \(0.730765\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.8059 | 0.644736 | 0.322368 | − | 0.946614i | \(-0.395521\pi\) | ||||
0.322368 | + | 0.946614i | \(0.395521\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.15352 | 0.209868 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 11.2974 | + | 19.5676i | 0.459304 | + | 0.795537i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.97602 | + | 5.15462i | −0.120793 | + | 0.209220i | −0.920081 | − | 0.391729i | \(-0.871877\pi\) |
0.799288 | + | 0.600949i | \(0.205210\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.5277 | + | 15.1704i | −0.467124 | + | 0.614736i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.78887 | + | 6.56251i | −0.153281 | + | 0.265491i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.2015 | + | 24.5977i | 0.573592 | + | 0.993491i | 0.996193 | + | 0.0871747i | \(0.0277839\pi\) |
−0.422601 | + | 0.906316i | \(0.638883\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 33.6118 | 1.35536 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.1918 | −0.410307 | −0.205153 | − | 0.978730i | \(-0.565769\pi\) | ||||
−0.205153 | + | 0.978730i | \(0.565769\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.4306 | − | 18.0663i | −0.419241 | − | 0.726147i | 0.576622 | − | 0.817011i | \(-0.304371\pi\) |
−0.995863 | + | 0.0908638i | \(0.971037\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.20147 | + | 3.81306i | −0.0883420 | + | 0.153013i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.30704 | + | 0.800162i | 0.252686 | + | 0.0320578i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.8453 | − | 20.5167i | 0.473813 | − | 0.820669i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.70032 | − | 11.6053i | −0.267585 | − | 0.463471i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 42.4989 | 1.69454 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.6191 | 1.65683 | 0.828416 | − | 0.560113i | \(-0.189242\pi\) | ||||
0.828416 | + | 0.560113i | \(0.189242\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.24943 | − | 7.36022i | −0.168899 | − | 0.292542i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.9306 | − | 34.5208i | 0.790922 | − | 1.36992i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.4615 | − | 15.7553i | 0.612608 | − | 0.624249i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.20147 | + | 5.54511i | −0.126648 | + | 0.219361i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 24.4006 | + | 42.2632i | 0.963768 | + | 1.66929i | 0.712890 | + | 0.701275i | \(0.247386\pi\) |
0.250877 | + | 0.968019i | \(0.419281\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.8442 | 0.467089 | 0.233544 | − | 0.972346i | \(-0.424968\pi\) | ||||
0.233544 | + | 0.972346i | \(0.424968\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.40294 | −0.0946159 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.7579 | − | 29.0256i | −0.658822 | − | 1.14111i | −0.980921 | − | 0.194408i | \(-0.937722\pi\) |
0.322098 | − | 0.946706i | \(-0.395612\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −17.5277 | + | 30.3588i | −0.688021 | + | 1.19169i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.37529 | + | 0.681953i | 0.210674 | + | 0.0267278i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 23.2531 | − | 40.2756i | 0.909964 | − | 1.57610i | 0.0958532 | − | 0.995395i | \(-0.469442\pi\) |
0.814111 | − | 0.580709i | \(-0.197225\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.80221 | + | 11.7818i | 0.265784 | + | 0.460352i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 15.2494 | 0.594937 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −10.1152 | −0.394033 | −0.197017 | − | 0.980400i | \(-0.563125\pi\) | ||||
−0.197017 | + | 0.980400i | \(0.563125\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.6321 | − | 28.8076i | −0.646913 | − | 1.12049i | −0.983856 | − | 0.178961i | \(-0.942726\pi\) |
0.336943 | − | 0.941525i | \(-0.390607\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6.94239 | + | 12.0246i | −0.269620 | + | 0.466995i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 16.1609 | − | 21.2677i | 0.626692 | − | 0.824728i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.8538 | + | 27.4597i | −0.613863 | + | 1.06324i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.39926 | + | 14.5480i | 0.324734 | + | 0.562456i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −34.4029 | −1.32811 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −50.4966 | −1.94650 | −0.973249 | − | 0.229751i | \(-0.926209\pi\) | ||||
−0.973249 | + | 0.229751i | \(0.926209\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.62471 | − | 4.54614i | −0.101025 | − | 0.174981i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14.3993 | + | 24.9403i | −0.553409 | + | 0.958532i | 0.444617 | + | 0.895721i | \(0.353340\pi\) |
−0.998025 | + | 0.0628110i | \(0.979993\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.35131 | − | 10.3667i | −0.166988 | − | 0.397839i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 8.43175 | − | 14.6042i | 0.323105 | − | 0.559635i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.62356 | + | 11.4723i | 0.253444 | + | 0.438977i | 0.964472 | − | 0.264186i | \(-0.0851034\pi\) |
−0.711028 | + | 0.703164i | \(0.751770\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 33.3047 | 1.27251 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.5542 | 0.784190 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.19917 | − | 9.00523i | −0.198073 | − | 0.343072i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.8335 | − | 34.3527i | 0.754504 | − | 1.30684i | −0.191117 | − | 0.981567i | \(-0.561211\pi\) |
0.945621 | − | 0.325271i | \(-0.105456\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.35131 | − | 10.3667i | −0.165293 | − | 0.393800i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 18.6524 | − | 32.3069i | 0.707525 | − | 1.22547i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.1129 | − | 40.0328i | −0.875465 | − | 1.51635i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 9.90409 | 0.374607 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.10787 | −0.0796130 | −0.0398065 | − | 0.999207i | \(-0.512674\pi\) | ||||
−0.0398065 | + | 0.999207i | \(0.512674\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 15.2195 | + | 26.3609i | 0.574013 | + | 0.994220i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.84648 | + | 6.66230i | −0.144867 | + | 0.250917i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.24943 | + | 8.22425i | −0.235034 | + | 0.309305i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.49885 | − | 12.9884i | 0.281625 | − | 0.487789i | −0.690160 | − | 0.723657i | \(-0.742460\pi\) |
0.971785 | + | 0.235868i | \(0.0757932\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.22545 | + | 14.2469i | 0.308478 | + | 0.534300i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.01702 | 0.337690 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 42.9018 | 1.60444 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.20147 | − | 3.81306i | −0.0822155 | − | 0.142401i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.4029 | + | 19.7505i | −0.425258 | + | 0.736569i | −0.996444 | − | 0.0842518i | \(-0.973150\pi\) |
0.571186 | + | 0.820820i | \(0.306483\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.2771 | + | 3.07999i | 0.904126 | + | 0.114705i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −10.4318 | + | 18.0683i | −0.387961 | + | 0.671968i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −18.9018 | − | 32.7389i | −0.701995 | − | 1.21589i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.9691 | 0.629348 | 0.314674 | − | 0.949200i | \(-0.398105\pi\) | ||||
0.314674 | + | 0.949200i | \(0.398105\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.65237 | + | 2.86199i | 0.0611151 | + | 0.105854i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.672665 | + | 1.16509i | −0.0248455 | + | 0.0430336i | −0.878181 | − | 0.478329i | \(-0.841243\pi\) |
0.853335 | + | 0.521362i | \(0.174576\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 15.6966 | − | 15.9949i | 0.578979 | − | 0.589981i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.9497 | + | 18.9655i | −0.403339 | + | 0.698604i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.6321 | − | 39.1999i | −0.832534 | − | 1.44199i | −0.896022 | − | 0.444009i | \(-0.853556\pi\) |
0.0634880 | − | 0.997983i | \(-0.479778\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.94469 | −0.365327 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.8036 | −1.02001 | −0.510007 | − | 0.860170i | \(-0.670357\pi\) | ||||
−0.510007 | + | 0.860170i | \(0.670357\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.6524 | + | 28.8428i | 0.610096 | + | 1.05672i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −7.27823 | + | 12.6063i | −0.266297 | + | 0.461239i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 43.4560 | + | 5.51318i | 1.58785 | + | 0.201447i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.0313 | + | 26.0350i | −0.548501 | + | 0.950032i | 0.449876 | + | 0.893091i | \(0.351468\pi\) |
−0.998378 | + | 0.0569412i | \(0.981865\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.72177 | − | 2.98219i | −0.0627447 | − | 0.108677i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 64.0530 | 2.33113 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.3241 | −0.629654 | −0.314827 | − | 0.949149i | \(-0.601946\pi\) | ||||
−0.314827 | + | 0.949149i | \(0.601946\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.35499 | − | 16.2033i | −0.339565 | − | 0.588143i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.10557 | + | 10.5752i | −0.221327 | + | 0.383349i | −0.955211 | − | 0.295925i | \(-0.904372\pi\) |
0.733884 | + | 0.679274i | \(0.237705\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −32.1033 | + | 42.2480i | −1.16222 | + | 1.52948i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.04795 | + | 12.2074i | −0.254819 | + | 0.441360i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 13.0074 | + | 22.5294i | 0.469669 | + | 0.813490i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.1152 | 0.400825 | 0.200413 | − | 0.979712i | \(-0.435772\pi\) | ||||
0.200413 | + | 0.979712i | \(0.435772\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.59706 | −0.201573 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.143858 | + | 0.249170i | 0.00517423 | + | 0.00896202i | 0.868601 | − | 0.495512i | \(-0.165020\pi\) |
−0.863427 | + | 0.504474i | \(0.831686\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.37529 | + | 9.31027i | −0.193086 | + | 0.334435i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.88380 | + | 23.5476i | 0.354579 | + | 0.844764i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 16.5542 | − | 28.6727i | 0.593115 | − | 1.02730i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.6044 | − | 23.5635i | −0.486804 | − | 0.843170i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.20147 | 0.257360 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −46.4177 | −1.65672 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.75057 | + | 9.96029i | 0.204986 | + | 0.355046i | 0.950128 | − | 0.311860i | \(-0.100952\pi\) |
−0.745142 | + | 0.666905i | \(0.767618\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.798528 | − | 1.38309i | 0.0284283 | − | 0.0492393i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.19181 | − | 19.5165i | −0.291267 | − | 0.693927i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.7653 | + | 22.1101i | −0.453309 | + | 0.785154i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −5.27823 | − | 9.14217i | −0.187200 | − | 0.324239i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −18.6980 | −0.662318 | −0.331159 | − | 0.943575i | \(-0.607440\pi\) | ||||
−0.331159 | + | 0.943575i | \(0.607440\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.5800 | 0.374295 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.20147 | − | 2.08101i | −0.0424519 | − | 0.0735289i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −32.4006 | + | 56.1196i | −1.14339 | + | 1.98042i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 22.5638 | − | 29.6940i | 0.795270 | − | 1.04658i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.85016 | + | 15.3289i | −0.311540 | + | 0.539604i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 26.9018 | + | 46.5953i | 0.945817 | + | 1.63820i | 0.754108 | + | 0.656751i | \(0.228070\pi\) |
0.191709 | + | 0.981452i | \(0.438597\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −34.7866 | −1.22152 | −0.610761 | − | 0.791815i | \(-0.709136\pi\) | ||||
−0.610761 | + | 0.791815i | \(0.709136\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.39558 | −0.0840168 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −17.1439 | − | 29.6940i | −0.600523 | − | 1.04014i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.18348 | + | 2.04984i | −0.0414046 | + | 0.0717149i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −8.27708 | − | 1.05010i | −0.289225 | − | 0.0366934i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −18.9055 | + | 32.7452i | −0.659806 | + | 1.14282i | 0.320860 | + | 0.947127i | \(0.396028\pi\) |
−0.980666 | + | 0.195690i | \(0.937305\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 27.2088 | + | 47.1271i | 0.948440 | + | 1.64275i | 0.748712 | + | 0.662896i | \(0.230673\pi\) |
0.199728 | + | 0.979851i | \(0.435994\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 22.3070 | 0.776631 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −7.86120 | −0.273361 | −0.136680 | − | 0.990615i | \(-0.543643\pi\) | ||||
−0.136680 | + | 0.990615i | \(0.543643\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.22913 | − | 5.59302i | −0.112152 | − | 0.194253i | 0.804486 | − | 0.593972i | \(-0.202441\pi\) |
−0.916638 | + | 0.399719i | \(0.869108\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.62471 | − | 4.54614i | 0.0910503 | − | 0.157704i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −29.8442 | − | 7.69643i | −1.03404 | − | 0.266665i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 27.7003 | − | 47.9784i | 0.958609 | − | 1.66036i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.02398 | − | 1.77358i | −0.0353938 | − | 0.0613039i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −28.3218 | −0.977776 | −0.488888 | − | 0.872347i | \(-0.662597\pi\) | ||||
−0.488888 | + | 0.872347i | \(0.662597\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.8612 | 0.788317 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.0480 | − | 17.4036i | −0.346070 | − | 0.599411i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.89075 | + | 8.47103i | −0.168247 | + | 0.291412i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 18.5242 | + | 2.35013i | 0.636499 | + | 0.0807515i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 11.6247 | − | 20.1346i | 0.398959 | − | 0.691017i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 21.2494 | + | 36.8051i | 0.728421 | + | 1.26166i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.75057 | 0.299614 | 0.149807 | − | 0.988715i | \(-0.452135\pi\) | ||||
0.149807 | + | 0.988715i | \(0.452135\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.0959 | −0.345273 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 12.3453 | + | 21.3827i | 0.421708 | + | 0.730420i | 0.996107 | − | 0.0881555i | \(-0.0280972\pi\) |
−0.574398 | + | 0.818576i | \(0.694764\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.24943 | − | 7.36022i | 0.144989 | − | 0.251127i | −0.784380 | − | 0.620280i | \(-0.787019\pi\) |
0.929369 | + | 0.369153i | \(0.120352\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 16.8059 | − | 22.1166i | 0.572743 | − | 0.753731i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −9.30704 | + | 16.1203i | −0.316815 | + | 0.548740i | −0.979822 | − | 0.199874i | \(-0.935947\pi\) |
0.663006 | + | 0.748614i | \(0.269280\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.24943 | − | 10.8243i | −0.212487 | − | 0.368038i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.38592 | 0.0810302 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −69.9069 | −2.37143 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.12586 | + | 14.0744i | 0.275334 | + | 0.476893i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −2.12471 | + | 3.68011i | −0.0719106 | + | 0.124553i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.817673 | + | 1.94806i | 0.0276424 | + | 0.0658564i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.0553 | − | 38.2009i | 0.744755 | − | 1.28995i | −0.205554 | − | 0.978646i | \(-0.565900\pi\) |
0.950309 | − | 0.311308i | \(-0.100767\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −5.60074 | − | 9.70076i | −0.188908 | − | 0.327199i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.2900 | −0.380370 | −0.190185 | − | 0.981748i | \(-0.560909\pi\) | ||||
−0.190185 | + | 0.981748i | \(0.560909\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −42.2471 | −1.42173 | −0.710864 | − | 0.703329i | \(-0.751696\pi\) | ||||
−0.710864 | + | 0.703329i | \(0.751696\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 13.2052 | + | 22.8720i | 0.443886 | + | 0.768834i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.99034 | − | 3.44737i | 0.0668290 | − | 0.115751i | −0.830675 | − | 0.556758i | \(-0.812045\pi\) |
0.897504 | + | 0.441007i | \(0.145378\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.7494 | − | 30.3748i | −0.427602 | − | 1.01874i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.12471 | + | 3.68011i | −0.0711805 | + | 0.123288i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.78887 | + | 6.56251i | 0.126790 | + | 0.219606i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −66.6095 | −2.22651 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −13.8848 | −0.463599 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.37414 | − | 12.7724i | −0.245941 | − | 0.425983i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.25909 | + | 12.5731i | −0.241835 | + | 0.418871i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.20147 | + | 1.58114i | −0.0399825 | + | 0.0526170i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −21.2088 | + | 36.7348i | −0.705005 | + | 1.22111i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.28674 | + | 10.8890i | 0.208748 | + | 0.361562i | 0.951320 | − | 0.308204i | \(-0.0997279\pi\) |
−0.742572 | + | 0.669766i | \(0.766395\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.90409 | 0.129491 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 7.09821 | 0.235174 | 0.117587 | − | 0.993063i | \(-0.462484\pi\) | ||||
0.117587 | + | 0.993063i | \(0.462484\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −30.9283 | − | 53.5694i | −1.02358 | − | 1.77289i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −12.9594 | + | 22.4464i | −0.428425 | + | 0.742054i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 11.1535 | + | 1.41503i | 0.368322 | + | 0.0467283i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.7206 | − | 32.4251i | 0.617536 | − | 1.06960i | −0.372398 | − | 0.928073i | \(-0.621464\pi\) |
0.989934 | − | 0.141531i | \(-0.0452024\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.4786 | + | 25.0776i | 0.477085 | + | 0.826335i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −20.1918 | −0.664622 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −50.6694 | −1.66600 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.62471 | − | 8.01024i | −0.151895 | − | 0.263091i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.94239 | + | 6.82841i | −0.129345 | + | 0.224033i | −0.923423 | − | 0.383783i | \(-0.874621\pi\) |
0.794078 | + | 0.607816i | \(0.207954\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.91376 | − | 21.2677i | −0.193816 | − | 0.697022i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.6524 | + | 23.6466i | −0.446959 | + | 0.774155i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −29.9497 | − | 51.8745i | −0.979461 | − | 1.69648i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.9954 | 1.20859 | 0.604294 | − | 0.796762i | \(-0.293455\pi\) | ||||
0.604294 | + | 0.796762i | \(0.293455\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.49885 | −0.179448 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.35131 | + | 11.0008i | 0.207047 | + | 0.358616i | 0.950783 | − | 0.309858i | \(-0.100281\pi\) |
−0.743736 | + | 0.668473i | \(0.766948\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 23.1129 | − | 40.0328i | 0.752661 | − | 1.30365i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.40294 | − | 1.06607i | −0.273348 | − | 0.0346791i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 11.5565 | − | 20.0164i | 0.375535 | − | 0.650445i | −0.614872 | − | 0.788627i | \(-0.710792\pi\) |
0.990407 | + | 0.138182i | \(0.0441258\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 24.0447 | + | 41.6466i | 0.780523 | + | 1.35191i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.60442 | −0.311445 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −43.4200 | −1.40651 | −0.703255 | − | 0.710937i | \(-0.748271\pi\) | ||||
−0.703255 | + | 0.710937i | \(0.748271\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.70998 | + | 11.6220i | 0.217130 | + | 0.376080i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −15.3011 | + | 26.5022i | −0.494613 | + | 0.856695i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 16.6524 | − | 21.9145i | 0.537733 | − | 0.707658i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4029 | − | 23.2146i | 0.432353 | − | 0.748857i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.27823 | − | 14.3383i | −0.266762 | − | 0.462046i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 58.6021 | 1.88647 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −11.6450 | −0.374478 | −0.187239 | − | 0.982314i | \(-0.559954\pi\) | ||||
−0.187239 | + | 0.982314i | \(0.559954\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.94239 | + | 12.0246i | 0.223022 | + | 0.386285i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −16.6812 | + | 28.8926i | −0.535324 | + | 0.927209i | 0.463823 | + | 0.885928i | \(0.346477\pi\) |
−0.999148 | + | 0.0412813i | \(0.986856\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.9318 | − | 28.4267i | −0.382514 | − | 0.911318i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 8.27708 | − | 14.3363i | 0.265079 | − | 0.459130i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −9.59476 | − | 16.6186i | −0.306963 | − | 0.531676i | 0.670733 | − | 0.741699i | \(-0.265980\pi\) |
−0.977697 | + | 0.210023i | \(0.932646\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.2111 | 0.326349 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 20.0553 | 0.640317 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −3.03829 | − | 5.26248i | −0.0969065 | − | 0.167847i | 0.813496 | − | 0.581570i | \(-0.197561\pi\) |
−0.910403 | + | 0.413723i | \(0.864228\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 19.0553 | − | 33.0048i | 0.607153 | − | 1.05162i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.46056 | + | 5.86214i | 0.0783204 | + | 0.186594i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.65237 | + | 2.86199i | −0.0525423 | + | 0.0910059i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.8299 | − | 27.4181i | −0.502852 | − | 0.870966i | −0.999995 | − | 0.00329664i | \(-0.998951\pi\) |
0.497142 | − | 0.867669i | \(-0.334383\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 15.5565 | 0.493669 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.58003 | −0.0817925 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.68003 | − | 13.3022i | −0.243229 | − | 0.421285i | 0.718403 | − | 0.695627i | \(-0.244873\pi\) |
−0.961632 | + | 0.274342i | \(0.911540\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.82618 | − | 8.35920i | 0.152694 | − | 0.264473i |
(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 | 672.2.q.k.289.3 | yes | 6 | |
3.2 | odd | 2 | 2016.2.s.u.289.1 | 6 | |||
4.3 | odd | 2 | 672.2.q.l.289.3 | yes | 6 | ||
7.2 | even | 3 | 4704.2.a.bu.1.1 | 3 | |||
7.4 | even | 3 | inner | 672.2.q.k.193.3 | ✓ | 6 | |
7.5 | odd | 6 | 4704.2.a.bt.1.3 | 3 | |||
8.3 | odd | 2 | 1344.2.q.y.961.1 | 6 | |||
8.5 | even | 2 | 1344.2.q.z.961.1 | 6 | |||
12.11 | even | 2 | 2016.2.s.v.289.1 | 6 | |||
21.11 | odd | 6 | 2016.2.s.u.865.1 | 6 | |||
28.11 | odd | 6 | 672.2.q.l.193.3 | yes | 6 | ||
28.19 | even | 6 | 4704.2.a.bv.1.3 | 3 | |||
28.23 | odd | 6 | 4704.2.a.bs.1.1 | 3 | |||
56.5 | odd | 6 | 9408.2.a.ei.1.1 | 3 | |||
56.11 | odd | 6 | 1344.2.q.y.193.1 | 6 | |||
56.19 | even | 6 | 9408.2.a.eg.1.1 | 3 | |||
56.37 | even | 6 | 9408.2.a.eh.1.3 | 3 | |||
56.51 | odd | 6 | 9408.2.a.ej.1.3 | 3 | |||
56.53 | even | 6 | 1344.2.q.z.193.1 | 6 | |||
84.11 | even | 6 | 2016.2.s.v.865.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.q.k.193.3 | ✓ | 6 | 7.4 | even | 3 | inner | |
672.2.q.k.289.3 | yes | 6 | 1.1 | even | 1 | trivial | |
672.2.q.l.193.3 | yes | 6 | 28.11 | odd | 6 | ||
672.2.q.l.289.3 | yes | 6 | 4.3 | odd | 2 | ||
1344.2.q.y.193.1 | 6 | 56.11 | odd | 6 | |||
1344.2.q.y.961.1 | 6 | 8.3 | odd | 2 | |||
1344.2.q.z.193.1 | 6 | 56.53 | even | 6 | |||
1344.2.q.z.961.1 | 6 | 8.5 | even | 2 | |||
2016.2.s.u.289.1 | 6 | 3.2 | odd | 2 | |||
2016.2.s.u.865.1 | 6 | 21.11 | odd | 6 | |||
2016.2.s.v.289.1 | 6 | 12.11 | even | 2 | |||
2016.2.s.v.865.1 | 6 | 84.11 | even | 6 | |||
4704.2.a.bs.1.1 | 3 | 28.23 | odd | 6 | |||
4704.2.a.bt.1.3 | 3 | 7.5 | odd | 6 | |||
4704.2.a.bu.1.1 | 3 | 7.2 | even | 3 | |||
4704.2.a.bv.1.3 | 3 | 28.19 | even | 6 | |||
9408.2.a.eg.1.1 | 3 | 56.19 | even | 6 | |||
9408.2.a.eh.1.3 | 3 | 56.37 | even | 6 | |||
9408.2.a.ei.1.1 | 3 | 56.5 | odd | 6 | |||
9408.2.a.ej.1.3 | 3 | 56.51 | odd | 6 |