Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1040,2,Mod(641,1040)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1040, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 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("1040.641");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1040 = 2^{4} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1040.da (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.30444181021\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 130) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 881.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1040.881 |
Dual form | 1040.2.da.a.641.2 |
$q$-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 \(\left(\mathbb{Z}/1040\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(417\) | \(561\) | \(911\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.366025 | + | 0.633975i | 0.211325 | + | 0.366025i | 0.952129 | − | 0.305695i | \(-0.0988889\pi\) |
−0.740805 | + | 0.671721i | \(0.765556\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.59808 | − | 1.50000i | −0.981981 | − | 0.566947i | −0.0791130 | − | 0.996866i | \(-0.525209\pi\) |
−0.902867 | + | 0.429919i | \(0.858542\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.23205 | − | 2.13397i | 0.410684 | − | 0.711325i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.59808 | + | 1.50000i | −0.783349 | + | 0.452267i | −0.837616 | − | 0.546259i | \(-0.816051\pi\) |
0.0542666 | + | 0.998526i | \(0.482718\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.50000 | + | 0.866025i | 0.970725 | + | 0.240192i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.633975 | + | 0.366025i | −0.163692 | + | 0.0945074i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.09808 | + | 7.09808i | −0.993929 | + | 1.72154i | −0.401685 | + | 0.915778i | \(0.631575\pi\) |
−0.592244 | + | 0.805759i | \(0.701758\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.401924 | + | 0.232051i | 0.0922076 | + | 0.0532361i | 0.545395 | − | 0.838179i | \(-0.316380\pi\) |
−0.453187 | + | 0.891415i | \(0.649713\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 2.19615i | − | 0.479240i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.73205 | + | 8.19615i | 0.986701 | + | 1.70902i | 0.634120 | + | 0.773234i | \(0.281362\pi\) |
0.352581 | + | 0.935781i | \(0.385304\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.00000 | 0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.26795 | + | 2.19615i | 0.235452 | + | 0.407815i | 0.959404 | − | 0.282035i | \(-0.0910095\pi\) |
−0.723952 | + | 0.689851i | \(0.757676\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.73205i | 0.849901i | 0.905216 | + | 0.424951i | \(0.139709\pi\) | ||||
−0.905216 | + | 0.424951i | \(0.860291\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.90192 | − | 1.09808i | −0.331082 | − | 0.191151i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.50000 | − | 2.59808i | 0.253546 | − | 0.439155i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.696152 | + | 0.401924i | −0.114447 | + | 0.0660759i | −0.556131 | − | 0.831095i | \(-0.687715\pi\) |
0.441684 | + | 0.897171i | \(0.354381\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.732051 | + | 2.53590i | 0.117222 | + | 0.406069i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −9.00000 | + | 5.19615i | −1.40556 | + | 0.811503i | −0.994956 | − | 0.100309i | \(-0.968017\pi\) |
−0.410608 | + | 0.911812i | \(0.634683\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.00000 | − | 1.73205i | 0.152499 | − | 0.264135i | −0.779647 | − | 0.626219i | \(-0.784601\pi\) |
0.932145 | + | 0.362084i | \(0.117935\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.13397 | + | 1.23205i | 0.318114 | + | 0.183663i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.00000i | 0.437595i | 0.975770 | + | 0.218797i | \(0.0702134\pi\) | ||||
−0.975770 | + | 0.218797i | \(0.929787\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | + | 1.73205i | 0.142857 | + | 0.247436i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.00000 | −0.840168 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.464102 | 0.0637493 | 0.0318746 | − | 0.999492i | \(-0.489852\pi\) | ||||
0.0318746 | + | 0.999492i | \(0.489852\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.50000 | − | 2.59808i | −0.202260 | − | 0.350325i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.339746i | 0.0450005i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.00000 | − | 5.19615i | −1.17170 | − | 0.676481i | −0.217620 | − | 0.976034i | \(-0.569829\pi\) |
−0.954080 | + | 0.299552i | \(0.903163\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.09808 | + | 5.36603i | −0.396668 | + | 0.687049i | −0.993313 | − | 0.115456i | \(-0.963167\pi\) |
0.596645 | + | 0.802506i | \(0.296500\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.40192 | + | 3.69615i | −0.806567 | + | 0.465671i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.866025 | + | 3.50000i | −0.107417 | + | 0.434122i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.46410 | + | 6.00000i | −0.417029 | + | 0.722315i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.19615 | + | 3.00000i | 0.616670 | + | 0.356034i | 0.775571 | − | 0.631260i | \(-0.217462\pi\) |
−0.158901 | + | 0.987294i | \(0.550795\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 11.6603i | − | 1.36473i | −0.731012 | − | 0.682365i | \(-0.760952\pi\) | ||
0.731012 | − | 0.682365i | \(-0.239048\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.366025 | − | 0.633975i | −0.0422650 | − | 0.0732051i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.00000 | 1.02565 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.19615 | 0.472104 | 0.236052 | − | 0.971740i | \(-0.424146\pi\) | ||||
0.236052 | + | 0.971740i | \(0.424146\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.23205 | − | 3.86603i | −0.248006 | − | 0.429558i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 8.19615i | − | 0.899645i | −0.893118 | − | 0.449822i | \(-0.851487\pi\) | ||
0.893118 | − | 0.449822i | \(-0.148513\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.09808 | − | 4.09808i | −0.769894 | − | 0.444499i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.928203 | + | 1.60770i | −0.0995138 | + | 0.172363i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.89230 | − | 3.40192i | 0.624583 | − | 0.360603i | −0.154068 | − | 0.988060i | \(-0.549238\pi\) |
0.778651 | + | 0.627457i | \(0.215904\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.79423 | − | 7.50000i | −0.817057 | − | 0.786214i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.00000 | + | 1.73205i | −0.311086 | + | 0.179605i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.232051 | + | 0.401924i | −0.0238079 | + | 0.0412365i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.90192 | + | 4.56218i | 0.802319 | + | 0.463219i | 0.844281 | − | 0.535900i | \(-0.180028\pi\) |
−0.0419625 | + | 0.999119i | \(0.513361\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.39230i | 0.742955i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.36603 | − | 9.29423i | −0.533939 | − | 0.924810i | −0.999214 | − | 0.0396438i | \(-0.987378\pi\) |
0.465274 | − | 0.885167i | \(-0.345956\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.19615 | 0.906124 | 0.453062 | − | 0.891479i | \(-0.350332\pi\) | ||||
0.453062 | + | 0.891479i | \(0.350332\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.19615 | 0.214323 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.83013 | + | 15.2942i | 0.853641 | + | 1.47855i | 0.877900 | + | 0.478843i | \(0.158944\pi\) |
−0.0242598 | + | 0.999706i | \(0.507723\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.53590i | 0.817591i | 0.912626 | + | 0.408795i | \(0.134051\pi\) | ||||
−0.912626 | + | 0.408795i | \(0.865949\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.509619 | − | 0.294229i | −0.0483709 | − | 0.0279269i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.46410 | + | 6.00000i | −0.325875 | + | 0.564433i | −0.981689 | − | 0.190490i | \(-0.938992\pi\) |
0.655814 | + | 0.754923i | \(0.272326\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.19615 | + | 4.73205i | −0.764295 | + | 0.441266i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.16025 | − | 6.40192i | 0.569516 | − | 0.591858i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 21.2942 | − | 12.2942i | 1.95204 | − | 1.12701i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.00000 | + | 1.73205i | −0.0909091 | + | 0.157459i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.58846 | − | 3.80385i | −0.594061 | − | 0.342981i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.40192 | + | 9.35641i | 0.479343 | + | 0.830247i | 0.999719 | − | 0.0236904i | \(-0.00754158\pi\) |
−0.520376 | + | 0.853937i | \(0.674208\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.46410 | 0.128907 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.12436 | −0.535087 | −0.267544 | − | 0.963546i | \(-0.586212\pi\) | ||||
−0.267544 | + | 0.963546i | \(0.586212\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.696152 | − | 1.20577i | −0.0603641 | − | 0.104554i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.00000i | 0.344265i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.90192 | + | 1.09808i | 0.162492 | + | 0.0938150i | 0.579041 | − | 0.815298i | \(-0.303427\pi\) |
−0.416549 | + | 0.909113i | \(0.636760\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.598076 | − | 1.03590i | 0.0507282 | − | 0.0878638i | −0.839546 | − | 0.543288i | \(-0.817179\pi\) |
0.890274 | + | 0.455424i | \(0.150512\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.90192 | + | 1.09808i | −0.160171 | + | 0.0924747i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −10.3923 | + | 3.00000i | −0.869048 | + | 0.250873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.19615 | + | 1.26795i | −0.182381 | + | 0.105297i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.732051 | + | 1.26795i | −0.0603785 | + | 0.104579i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.19615 | + | 3.00000i | 0.425685 | + | 0.245770i | 0.697507 | − | 0.716578i | \(-0.254293\pi\) |
−0.271821 | + | 0.962348i | \(0.587626\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 23.6603i | − | 1.92544i | −0.270492 | − | 0.962722i | \(-0.587187\pi\) | ||
0.270492 | − | 0.962722i | \(-0.412813\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 10.0981 | + | 17.4904i | 0.816381 | + | 1.41401i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.73205 | −0.380087 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.0000 | −1.03751 | −0.518756 | − | 0.854922i | \(-0.673605\pi\) | ||||
−0.518756 | + | 0.854922i | \(0.673605\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.169873 | + | 0.294229i | 0.0134718 | + | 0.0233338i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 28.3923i | − | 2.23763i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.29423 | + | 5.36603i | 0.727980 | + | 0.420300i | 0.817683 | − | 0.575669i | \(-0.195258\pi\) |
−0.0897026 | + | 0.995969i | \(0.528592\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.09808 | − | 1.90192i | 0.0854851 | − | 0.148065i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.59808 | + | 1.50000i | −0.201045 | + | 0.116073i | −0.597143 | − | 0.802135i | \(-0.703697\pi\) |
0.396098 | + | 0.918208i | \(0.370364\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5000 | + | 6.06218i | 0.884615 | + | 0.466321i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.990381 | − | 0.571797i | 0.0757363 | − | 0.0437264i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.50000 | − | 12.9904i | 0.570214 | − | 0.987640i | −0.426329 | − | 0.904568i | \(-0.640193\pi\) |
0.996544 | − | 0.0830722i | \(-0.0264732\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.59808 | + | 1.50000i | 0.196396 | + | 0.113389i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 7.60770i | − | 0.571829i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.73205 | − | 8.19615i | −0.353690 | − | 0.612609i | 0.633203 | − | 0.773986i | \(-0.281740\pi\) |
−0.986893 | + | 0.161377i | \(0.948407\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.5885 | 1.08435 | 0.542176 | − | 0.840265i | \(-0.317601\pi\) | ||||
0.542176 | + | 0.840265i | \(0.317601\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.53590 | −0.335303 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.401924 | − | 0.696152i | −0.0295500 | − | 0.0511821i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 24.5885i | − | 1.79809i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.3923 | − | 6.00000i | −0.755929 | − | 0.436436i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.3660 | + | 19.6865i | −0.822417 | + | 1.42447i | 0.0814609 | + | 0.996677i | \(0.474041\pi\) |
−0.903878 | + | 0.427791i | \(0.859292\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1962 | + | 8.19615i | −1.02186 | + | 0.589972i | −0.914643 | − | 0.404263i | \(-0.867528\pi\) |
−0.107219 | + | 0.994235i | \(0.534195\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.53590 | + | 0.732051i | −0.181599 | + | 0.0524232i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.6962 | − | 10.7942i | 1.33205 | − | 0.769057i | 0.346433 | − | 0.938075i | \(-0.387393\pi\) |
0.985613 | + | 0.169018i | \(0.0540596\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.19615 | + | 5.53590i | −0.226569 | + | 0.392429i | −0.956789 | − | 0.290783i | \(-0.906084\pi\) |
0.730220 | + | 0.683212i | \(0.239418\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 7.60770i | − | 0.533956i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.19615 | − | 9.00000i | −0.362915 | − | 0.628587i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 23.3205 | 1.62089 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.39230 | −0.0963077 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.79423 | − | 15.2321i | −0.605420 | − | 1.04862i | −0.991985 | − | 0.126356i | \(-0.959672\pi\) |
0.386565 | − | 0.922262i | \(-0.373661\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.39230i | 0.300956i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.73205 | + | 1.00000i | 0.118125 | + | 0.0681994i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.09808 | − | 12.2942i | 0.481849 | − | 0.834587i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.39230 | − | 4.26795i | 0.499526 | − | 0.288401i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −20.4904 | + | 21.2942i | −1.37833 | + | 1.43240i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.59808 | − | 3.23205i | 0.374875 | − | 0.216434i | −0.300711 | − | 0.953715i | \(-0.597224\pi\) |
0.675586 | + | 0.737281i | \(0.263891\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.23205 | + | 2.13397i | −0.0821367 | + | 0.142265i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −14.1962 | − | 8.19615i | −0.942232 | − | 0.543998i | −0.0515725 | − | 0.998669i | \(-0.516423\pi\) |
−0.890659 | + | 0.454672i | \(0.849757\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.26795i | 0.0837884i | 0.999122 | + | 0.0418942i | \(0.0133392\pi\) | ||||
−0.999122 | + | 0.0418942i | \(0.986661\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.29423 | + | 5.70577i | 0.216744 | + | 0.375412i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.73205 | 0.310007 | 0.155003 | − | 0.987914i | \(-0.450461\pi\) | ||||
0.155003 | + | 0.987914i | \(0.450461\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.00000 | −0.195698 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.53590 | + | 2.66025i | 0.0997673 | + | 0.172802i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.19615i | 0.142057i | 0.997474 | + | 0.0710286i | \(0.0226282\pi\) | ||||
−0.997474 | + | 0.0710286i | \(0.977372\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.50000 | − | 4.33013i | −0.483117 | − | 0.278928i | 0.238597 | − | 0.971119i | \(-0.423312\pi\) |
−0.721715 | + | 0.692191i | \(0.756646\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.63397 | − | 13.2224i | 0.489720 | − | 0.848219i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.73205 | + | 1.00000i | −0.110657 | + | 0.0638877i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.20577 | + | 1.16025i | 0.0767214 | + | 0.0738252i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.19615 | − | 3.00000i | 0.329293 | − | 0.190117i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.59808 | − | 14.8923i | 0.542706 | − | 0.939994i | −0.456042 | − | 0.889958i | \(-0.650733\pi\) |
0.998747 | − | 0.0500355i | \(-0.0159335\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.5885 | − | 14.1962i | −1.54586 | − | 0.892504i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | − | 6.00000i | − | 0.375735i | ||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.92820 | + | 12.0000i | 0.432169 | + | 0.748539i | 0.997060 | − | 0.0766265i | \(-0.0244149\pi\) |
−0.564890 | + | 0.825166i | \(0.691082\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.41154 | 0.149846 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.24871 | 0.386786 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.79423 | + | 3.10770i | 0.110637 | + | 0.191629i | 0.916027 | − | 0.401116i | \(-0.131378\pi\) |
−0.805390 | + | 0.592745i | \(0.798044\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.464102i | 0.0285095i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.31347 | + | 2.49038i | 0.263980 | + | 0.152409i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 13.5622 | − | 23.4904i | 0.826901 | − | 1.43223i | −0.0735575 | − | 0.997291i | \(-0.523435\pi\) |
0.900458 | − | 0.434943i | \(-0.143231\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.19615 | + | 4.73205i | −0.497881 | + | 0.287452i | −0.727838 | − | 0.685749i | \(-0.759475\pi\) |
0.229957 | + | 0.973201i | \(0.426141\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.90192 | − | 7.68653i | 0.115110 | − | 0.465210i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.59808 | − | 1.50000i | 0.156670 | − | 0.0904534i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.500000 | − | 0.866025i | 0.0300421 | − | 0.0520344i | −0.850613 | − | 0.525792i | \(-0.823769\pi\) |
0.880656 | + | 0.473757i | \(0.157103\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.0981 | + | 5.83013i | 0.604556 | + | 0.349041i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.3923i | 0.619953i | 0.950744 | + | 0.309976i | \(0.100321\pi\) | ||||
−0.950744 | + | 0.309976i | \(0.899679\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.80385 | − | 8.32051i | −0.285559 | − | 0.494603i | 0.687186 | − | 0.726482i | \(-0.258846\pi\) |
−0.972745 | + | 0.231879i | \(0.925513\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.339746 | −0.0201248 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 31.1769 | 1.84032 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −25.0885 | − | 43.4545i | −1.47579 | − | 2.55615i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.67949i | 0.391559i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.69615 | + | 5.59808i | 0.566455 | + | 0.327043i | 0.755732 | − | 0.654881i | \(-0.227281\pi\) |
−0.189277 | + | 0.981924i | \(0.560614\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.19615 | − | 9.00000i | 0.302532 | − | 0.524000i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −10.3923 | + | 6.00000i | −0.603023 | + | 0.348155i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 9.46410 | + | 32.7846i | 0.547323 | + | 1.89598i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.19615 | + | 3.00000i | −0.299501 | + | 0.172917i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.92820 | − | 6.80385i | 0.225669 | − | 0.390871i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.36603 | − | 3.09808i | −0.307258 | − | 0.177395i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 27.4641i | − | 1.56746i | −0.621102 | − | 0.783730i | \(-0.713315\pi\) | ||
0.621102 | − | 0.783730i | \(-0.286685\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.36603 | + | 5.83013i | 0.191486 | + | 0.331664i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.12436 | 0.517395 | 0.258697 | − | 0.965958i | \(-0.416707\pi\) | ||||
0.258697 | + | 0.965958i | \(0.416707\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.3923 | 1.49178 | 0.745891 | − | 0.666068i | \(-0.232024\pi\) | ||||
0.745891 | + | 0.666068i | \(0.232024\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.69615 | − | 6.40192i | −0.208255 | − | 0.360708i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.1962i | 1.30283i | 0.758723 | + | 0.651413i | \(0.225823\pi\) | ||||
−0.758723 | + | 0.651413i | \(0.774177\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.58846 | − | 3.80385i | −0.368883 | − | 0.212975i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.46410 | + | 11.1962i | −0.360791 | + | 0.624908i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.29423 | + | 1.90192i | −0.183296 | + | 0.105826i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.50000 | − | 0.866025i | −0.194145 | − | 0.0480384i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.41154 | + | 3.12436i | −0.299259 | + | 0.172777i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 4.50000 | − | 7.79423i | 0.248093 | − | 0.429710i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.1962 | − | 6.46410i | −0.615396 | − | 0.355299i | 0.159678 | − | 0.987169i | \(-0.448954\pi\) |
−0.775074 | + | 0.631870i | \(0.782288\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.98076i | 0.108545i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.19615 | 0.337526 | 0.168763 | − | 0.985657i | \(-0.446023\pi\) | ||||
0.168763 | + | 0.985657i | \(0.446023\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.07180 | −0.275462 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.09808 | − | 12.2942i | −0.384382 | − | 0.665770i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.0000i | 0.809924i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.00000 | − | 3.46410i | −0.323029 | − | 0.186501i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −14.3660 | + | 24.8827i | −0.771209 | + | 1.33577i | 0.165692 | + | 0.986178i | \(0.447014\pi\) |
−0.936901 | + | 0.349595i | \(0.886319\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.50962 | + | 2.02628i | −0.187866 | + | 0.108464i | −0.590983 | − | 0.806684i | \(-0.701260\pi\) |
0.403117 | + | 0.915148i | \(0.367927\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.0000 | + | 3.46410i | 0.747265 | + | 0.184900i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.49038 | − | 4.90192i | 0.451897 | − | 0.260903i | −0.256734 | − | 0.966482i | \(-0.582646\pi\) |
0.708631 | + | 0.705579i | \(0.249313\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.00000 | + | 5.19615i | −0.159223 | + | 0.275783i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 15.5885 | + | 9.00000i | 0.825029 | + | 0.476331i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.60770i | 0.0848509i | 0.999100 | + | 0.0424255i | \(0.0135085\pi\) | ||||
−0.999100 | + | 0.0424255i | \(0.986492\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.39230 | − | 16.2679i | −0.494332 | − | 0.856208i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.46410 | −0.0768454 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.6603 | 0.610326 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.80385 | − | 4.85641i | −0.146360 | − | 0.253502i | 0.783520 | − | 0.621367i | \(-0.213422\pi\) |
−0.929879 | + | 0.367865i | \(0.880089\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 25.6077i | 1.33308i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.20577 | − | 0.696152i | −0.0626005 | − | 0.0361424i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.196152 | − | 0.339746i | 0.0101564 | − | 0.0175914i | −0.860903 | − | 0.508770i | \(-0.830100\pi\) |
0.871059 | + | 0.491179i | \(0.163434\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.633975 | − | 0.366025i | 0.0327383 | − | 0.0189015i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.53590 | + | 8.78461i | 0.130605 | + | 0.452430i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −25.7942 | + | 14.8923i | −1.32496 | + | 0.764966i | −0.984515 | − | 0.175298i | \(-0.943911\pi\) |
−0.340445 | + | 0.940264i | \(0.610578\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.95448 | + | 6.84936i | −0.202594 | + | 0.350904i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.3923 | − | 11.1962i | −0.990900 | − | 0.572097i | −0.0853571 | − | 0.996350i | \(-0.527203\pi\) |
−0.905543 | + | 0.424254i | \(0.860536\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9.00000i | 0.458682i | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.46410 | − | 4.26795i | −0.125257 | − | 0.216952i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 22.7321 | 1.15256 | 0.576280 | − | 0.817252i | \(-0.304504\pi\) | ||||
0.576280 | + | 0.817252i | \(0.304504\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −77.5692 | −3.92284 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.24167 | − | 3.88269i | −0.113077 | − | 0.195856i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.19615i | 0.211131i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.69615 | − | 5.59808i | −0.486636 | − | 0.280959i | 0.236542 | − | 0.971621i | \(-0.423986\pi\) |
−0.723178 | + | 0.690662i | \(0.757319\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.509619 | − | 0.882686i | 0.0255129 | − | 0.0441896i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.50000 | + | 2.59808i | −0.224719 | + | 0.129742i | −0.608134 | − | 0.793835i | \(-0.708081\pi\) |
0.383414 | + | 0.923576i | \(0.374748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.09808 | + | 16.5622i | −0.204140 | + | 0.825021i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.86603 | − | 2.23205i | 0.192104 | − | 0.110911i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.20577 | − | 2.08846i | 0.0597679 | − | 0.103521i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.0885 | − | 8.13397i | −0.696629 | − | 0.402199i | 0.109461 | − | 0.993991i | \(-0.465087\pi\) |
−0.806091 | + | 0.591792i | \(0.798421\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.60770i | 0.0793018i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.5885 | + | 27.0000i | 0.767058 | + | 1.32858i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.19615 | 0.402333 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.875644 | 0.0428805 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.66025 | − | 15.0000i | −0.423081 | − | 0.732798i | 0.573158 | − | 0.819445i | \(-0.305718\pi\) |
−0.996239 | + | 0.0866469i | \(0.972385\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 2.87564i | − | 0.140150i | −0.997542 | − | 0.0700752i | \(-0.977676\pi\) | ||
0.997542 | − | 0.0700752i | \(-0.0223239\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.40192 | + | 3.69615i | 0.311272 | + | 0.179713i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.09808 | − | 7.09808i | 0.198786 | − | 0.344307i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.0981 | − | 9.29423i | 0.779041 | − | 0.449779i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.70577 | − | 5.49038i | −0.275477 | − | 0.265078i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 7.09808 | − | 4.09808i | 0.341902 | − | 0.197397i | −0.319211 | − | 0.947684i | \(-0.603418\pi\) |
0.661113 | + | 0.750286i | \(0.270084\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.19615 | + | 7.26795i | −0.201654 | + | 0.349275i | −0.949062 | − | 0.315091i | \(-0.897965\pi\) |
0.747407 | + | 0.664366i | \(0.231298\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.60770 | − | 0.928203i | −0.0770831 | − | 0.0445039i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.39230i | 0.210112i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.70577 | − | 2.95448i | −0.0814120 | − | 0.141010i | 0.822445 | − | 0.568845i | \(-0.192610\pi\) |
−0.903857 | + | 0.427835i | \(0.859276\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.92820 | 0.234676 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 22.3923 | 1.06389 | 0.531945 | − | 0.846779i | \(-0.321461\pi\) | ||||
0.531945 | + | 0.846779i | \(0.321461\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.40192 | + | 5.89230i | 0.161267 | + | 0.279322i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.39230i | 0.207749i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.5000 | + | 7.79423i | 0.637104 | + | 0.367832i | 0.783498 | − | 0.621394i | \(-0.213433\pi\) |
−0.146394 | + | 0.989226i | \(0.546767\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.5885 | − | 27.0000i | 0.734032 | − | 1.27138i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.0000 | − | 8.66025i | 0.704761 | − | 0.406894i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 7.50000 | − | 7.79423i | 0.351605 | − | 0.365399i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.8827 | − | 9.16987i | 0.742961 | − | 0.428949i | −0.0801841 | − | 0.996780i | \(-0.525551\pi\) |
0.823145 | + | 0.567832i | \(0.192217\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −16.3923 | + | 28.3923i | −0.765127 | + | 1.32524i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −26.4904 | − | 15.2942i | −1.23378 | − | 0.712323i | −0.265964 | − | 0.963983i | \(-0.585690\pi\) |
−0.967816 | + | 0.251660i | \(0.919024\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.9282i | 0.600825i | 0.953809 | + | 0.300412i | \(0.0971243\pi\) | ||||
−0.953809 | + | 0.300412i | \(0.902876\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.73205 | − | 3.00000i | −0.0803219 | − | 0.139122i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 37.8564 | 1.75179 | 0.875893 | − | 0.482506i | \(-0.160273\pi\) | ||||
0.875893 | + | 0.482506i | \(0.160273\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.75833 | − | 8.24167i | −0.219252 | − | 0.379756i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 6.00000i | 0.275880i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.401924 | − | 0.232051i | −0.0184415 | − | 0.0106472i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.571797 | − | 0.990381i | 0.0261808 | − | 0.0453464i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 35.4904 | − | 20.4904i | 1.62160 | − | 0.936229i | 0.635104 | − | 0.772427i | \(-0.280957\pi\) |
0.986493 | − | 0.163803i | \(-0.0523760\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.78461 | + | 0.803848i | −0.126967 | + | 0.0366523i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 18.0000 | − | 10.3923i | 0.819028 | − | 0.472866i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.56218 | + | 7.90192i | −0.207158 | + | 0.358808i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.2058 | + | 7.62436i | 0.598411 | + | 0.345493i | 0.768416 | − | 0.639951i | \(-0.221045\pi\) |
−0.170005 | + | 0.985443i | \(0.554379\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.85641i | 0.355279i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.3301 | + | 17.8923i | 0.466192 | + | 0.807468i | 0.999254 | − | 0.0386076i | \(-0.0122922\pi\) |
−0.533062 | + | 0.846076i | \(0.678959\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.7846 | −0.936092 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −7.39230 | −0.332259 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.00000 | − | 15.5885i | −0.403705 | − | 0.699238i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 25.8564i | 1.15749i | 0.815508 | + | 0.578746i | \(0.196458\pi\) | ||||
−0.815508 | + | 0.578746i | \(0.803542\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.90192 | − | 1.09808i | −0.0849717 | − | 0.0490584i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −13.3301 | + | 23.0885i | −0.594361 | + | 1.02946i | 0.399276 | + | 0.916831i | \(0.369262\pi\) |
−0.993637 | + | 0.112633i | \(0.964072\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.29423 | − | 5.36603i | 0.413588 | − | 0.238785i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.366025 | + | 9.50962i | 0.0162558 | + | 0.422337i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −19.3923 | + | 11.1962i | −0.859549 | + | 0.496261i | −0.863861 | − | 0.503730i | \(-0.831961\pi\) |
0.00431237 | + | 0.999991i | \(0.498627\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.4904 | + | 30.2942i | −0.773729 | + | 1.34014i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.60770 | + | 0.928203i | 0.0709815 | + | 0.0409812i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 9.19615i | 0.405231i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.50000 | − | 7.79423i | −0.197910 | − | 0.342790i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 10.9808 | 0.482002 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.46410 | 0.283197 | 0.141599 | − | 0.989924i | \(-0.454776\pi\) | ||||
0.141599 | + | 0.989924i | \(0.454776\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.19615 | − | 2.07180i | −0.0523041 | − | 0.0905933i | 0.838688 | − | 0.544612i | \(-0.183323\pi\) |
−0.890992 | + | 0.454019i | \(0.849990\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.19615i | 0.0958479i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −33.5885 | − | 19.3923i | −1.46314 | − | 0.844742i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −33.2846 | + | 57.6506i | −1.44716 | + | 2.50655i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −22.1769 | + | 12.8038i | −0.962396 | + | 0.555640i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −36.0000 | + | 10.3923i | −1.55933 | + | 0.450141i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −15.2942 | + | 8.83013i | −0.661227 | + | 0.381760i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.46410 | − | 6.00000i | 0.149487 | − | 0.258919i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.19615 | − | 3.00000i | −0.223814 | − | 0.129219i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 22.0526i | − | 0.948114i | −0.880494 | − | 0.474057i | \(-0.842789\pi\) | ||
0.880494 | − | 0.474057i | \(-0.157211\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.33975 | + | 9.24871i | 0.229150 | + | 0.396900i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.53590 | −0.365638 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.78461 | 0.290089 | 0.145044 | − | 0.989425i | \(-0.453667\pi\) | ||||
0.145044 | + | 0.989425i | \(0.453667\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 7.63397 | + | 13.2224i | 0.325810 | + | 0.564320i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.17691i | 0.0501382i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.9019 | − | 6.29423i | −0.463597 | − | 0.267658i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.294229 | − | 0.509619i | 0.0124893 | − | 0.0216321i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.89230 | + | 3.40192i | −0.249665 | + | 0.144144i | −0.619611 | − | 0.784909i | \(-0.712710\pi\) |
0.369946 | + | 0.929053i | \(0.379376\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.00000 | − | 5.19615i | 0.211477 | − | 0.219774i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 15.5885 | − | 9.00000i | 0.658145 | − | 0.379980i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.26795 | − | 12.5885i | 0.306308 | − | 0.530540i | −0.671244 | − | 0.741236i | \(-0.734240\pi\) |
0.977552 | + | 0.210696i | \(0.0675731\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.00000 | − | 3.46410i | −0.252422 | − | 0.145736i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 13.3923i | 0.562424i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 13.6244 | + | 23.5981i | 0.571163 | + | 0.989283i | 0.996447 | + | 0.0842230i | \(0.0268408\pi\) |
−0.425284 | + | 0.905060i | \(0.639826\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.3731 | 1.60586 | 0.802931 | − | 0.596071i | \(-0.203272\pi\) | ||||
0.802931 | + | 0.596071i | \(0.203272\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.6410 | −0.695188 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.73205 | − | 8.19615i | −0.197340 | − | 0.341803i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 26.4449i | 1.10091i | 0.834863 | + | 0.550457i | \(0.185547\pi\) | ||||
−0.834863 | + | 0.550457i | \(0.814453\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −10.3923 | − | 6.00000i | −0.431889 | − | 0.249351i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.2942 | + | 21.2942i | −0.510051 | + | 0.883433i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.20577 | + | 0.696152i | −0.0499379 | + | 0.0288317i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.40192 | + | 6.16025i | 0.264687 | + | 0.254695i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −25.9808 | + | 15.0000i | −1.07234 | + | 0.619116i | −0.928820 | − | 0.370531i | \(-0.879176\pi\) |
−0.143521 | + | 0.989647i | \(0.545842\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.09808 | + | 1.90192i | −0.0452454 | + | 0.0783674i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.6865 | + | 7.90192i | 0.562989 | + | 0.325042i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.7846i | 0.853522i | 0.904365 | + | 0.426761i | \(0.140345\pi\) | ||||
−0.904365 | + | 0.426761i | \(0.859655\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.2942 | + | 21.2942i | 0.504014 | + | 0.872978i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.67949 | −0.191519 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 19.8564 | 0.811311 | 0.405655 | − | 0.914026i | \(-0.367043\pi\) | ||||
0.405655 | + | 0.914026i | \(0.367043\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.8923 | + | 32.7224i | 0.770633 | + | 1.33478i | 0.937216 | + | 0.348748i | \(0.113393\pi\) |
−0.166583 | + | 0.986027i | \(0.553273\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.73205 | − | 1.00000i | −0.0704179 | − | 0.0406558i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.7942 | + | 32.5526i | −0.762834 | + | 1.32127i | 0.178550 | + | 0.983931i | \(0.442859\pi\) |
−0.941384 | + | 0.337337i | \(0.890474\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.82309 | − | 2.78461i | 0.195441 | − | 0.112838i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.59808 | + | 10.5000i | −0.105107 | + | 0.424785i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 33.6962 | − | 19.4545i | 1.36097 | − | 0.785759i | 0.371221 | − | 0.928545i | \(-0.378939\pi\) |
0.989754 | + | 0.142785i | \(0.0456059\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.80385 | − | 6.58846i | 0.153386 | − | 0.265672i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.5885 | + | 9.00000i | 0.627568 | + | 0.362326i | 0.779809 | − | 0.626017i | \(-0.215316\pi\) |
−0.152242 | + | 0.988343i | \(0.548649\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 31.3923i | − | 1.26176i | −0.775879 | − | 0.630882i | \(-0.782693\pi\) | ||
0.775879 | − | 0.630882i | \(-0.217307\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.9282 | + | 32.7846i | 0.759563 | + | 1.31560i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −20.4115 | −0.817771 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.509619 | − | 0.882686i | −0.0203522 | − | 0.0352511i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 6.58846i | − | 0.262699i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.0000 | + | 10.3923i | 0.716569 | + | 0.413711i | 0.813488 | − | 0.581581i | \(-0.197566\pi\) |
−0.0969198 | + | 0.995292i | \(0.530899\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.43782 | − | 11.1506i | 0.255880 | − | 0.443198i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −9.35641 | + | 5.40192i | −0.371298 | + | 0.214369i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.00000 | + | 6.92820i | 0.0792429 | + | 0.274505i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 12.8038 | − | 7.39230i | 0.506512 | − | 0.292435i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.0359 | + | 27.7750i | −0.633380 | + | 1.09705i | 0.353476 | + | 0.935444i | \(0.385000\pi\) |
−0.986856 | + | 0.161603i | \(0.948334\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.29423 | + | 5.36603i | 0.366529 | + | 0.211615i | 0.671941 | − | 0.740605i | \(-0.265461\pi\) |
−0.305412 | + | 0.952220i | \(0.598794\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.46410i | 0.0576489i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.401924 | − | 0.696152i | −0.0158013 | − | 0.0273686i | 0.858017 | − | 0.513622i | \(-0.171697\pi\) |
−0.873818 | + | 0.486253i | \(0.838363\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 31.1769 | 1.22380 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.3923 | 0.407307 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.696152 | − | 1.20577i | −0.0272425 | − | 0.0471855i | 0.852083 | − | 0.523407i | \(-0.175339\pi\) |
−0.879325 | + | 0.476222i | \(0.842006\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 6.12436i | − | 0.239298i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −24.8827 | − | 14.3660i | −0.970766 | − | 0.560472i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.66025 | + | 4.60770i | −0.103629 | + | 0.179490i | −0.913177 | − | 0.407563i | \(-0.866379\pi\) |
0.809548 | + | 0.587053i | \(0.199712\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 31.0981 | − | 17.9545i | 1.20957 | − | 0.698348i | 0.246909 | − | 0.969039i | \(-0.420585\pi\) |
0.962666 | + | 0.270690i | \(0.0872520\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −21.0000 | − | 5.19615i | −0.815572 | − | 0.201802i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.20577 | − | 0.696152i | 0.0467578 | − | 0.0269956i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.0000 | + | 20.7846i | −0.464642 | + | 0.804783i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.09808 | + | 2.36603i | 0.158441 | + | 0.0914758i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 18.5885i | − | 0.717599i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.1962 | − | 21.1244i | −0.470127 | − | 0.814284i | 0.529289 | − | 0.848441i | \(-0.322459\pi\) |
−0.999416 | + | 0.0341573i | \(0.989125\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.00000 | −0.153960 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −25.8564 | −0.993742 | −0.496871 | − | 0.867824i | \(-0.665518\pi\) | ||||
−0.496871 | + | 0.867824i | \(0.665518\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.6865 | − | 23.7058i | −0.525241 | − | 0.909744i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 12.0000i | − | 0.459841i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −27.0000 | − | 15.5885i | −1.03313 | − | 0.596476i | −0.115248 | − | 0.993337i | \(-0.536766\pi\) |
−0.917879 | + | 0.396861i | \(0.870099\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.09808 | + | 1.90192i | −0.0419553 | + | 0.0726688i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.803848 | + | 0.464102i | −0.0306687 | + | 0.0177066i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.62436 | + | 0.401924i | 0.0618830 | + | 0.0153121i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 31.7942 | − | 18.3564i | 1.20951 | − | 0.698311i | 0.246857 | − | 0.969052i | \(-0.420602\pi\) |
0.962652 | + | 0.270741i | \(0.0872688\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 11.0885 | − | 19.2058i | 0.421216 | − | 0.729567i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.03590 | + | 0.598076i | 0.0392939 | + | 0.0226863i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 85.1769i | − | 3.22631i | ||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.73205 | + | 3.00000i | 0.0655122 | + | 0.113470i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 35.9090 | 1.35626 | 0.678131 | − | 0.734941i | \(-0.262790\pi\) | ||||
0.678131 | + | 0.734941i | \(0.262790\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.373067 | −0.0140705 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.09808 | − | 1.90192i | −0.0413559 | − | 0.0716306i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 32.1962i | 1.21086i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.50962 | + | 5.49038i | 0.357141 | + | 0.206196i | 0.667826 | − | 0.744317i | \(-0.267225\pi\) |
−0.310685 | + | 0.950513i | \(0.600558\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.16987 | − | 8.95448i | 0.193885 | − | 0.335819i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −38.7846 | + | 22.3923i | −1.45250 | + | 0.838598i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.00000 | − | 10.3923i | −0.112194 | − | 0.388650i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.39230 | + | 0.803848i | −0.0519966 | + | 0.0300202i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.9282 | − | 22.3923i | 0.482141 | − | 0.835092i | −0.517649 | − | 0.855593i | \(-0.673193\pi\) |
0.999790 | + | 0.0205009i | \(0.00652609\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −23.8923 | − | 13.7942i | −0.889796 | − | 0.513724i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 6.33975i | − | 0.235778i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.26795 | − | 2.19615i | −0.0470905 | − | 0.0815631i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −34.3731 | −1.27483 | −0.637413 | − | 0.770522i | \(-0.719996\pi\) | ||||
−0.637413 | + | 0.770522i | \(0.719996\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −2.21539 | −0.0820515 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.19615 | + | 14.1962i | 0.303146 | + | 0.525064i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 14.9090i | − | 0.550675i | −0.961348 | − | 0.275338i | \(-0.911210\pi\) | ||
0.961348 | − | 0.275338i | \(-0.0887896\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.26795 | − | 0.732051i | −0.0467690 | − | 0.0270021i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.2058 | + | 16.2846i | −1.03757 | + | 0.599039i | −0.919143 | − | 0.393924i | \(-0.871117\pi\) |
−0.118423 | + | 0.992963i | \(0.537784\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.294229 | + | 1.18911i | −0.0108088 | + | 0.0436831i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.7846 | − | 6.80385i | 0.432335 | − | 0.249609i | −0.268006 | − | 0.963417i | \(-0.586365\pi\) |
0.700341 | + | 0.713808i | \(0.253031\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.00000 | + | 5.19615i | −0.109911 | + | 0.190372i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −17.4904 | − | 10.0981i | −0.639940 | − | 0.369469i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 52.9808i | − | 1.93587i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.1962 | − | 17.6603i | −0.372063 | − | 0.644432i | 0.617820 | − | 0.786320i | \(-0.288016\pi\) |
−0.989883 | + | 0.141888i | \(0.954683\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 12.5885 | 0.458749 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 23.6603 | 0.861085 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.8923 | + | 32.7224i | 0.686652 | + | 1.18932i | 0.972914 | + | 0.231166i | \(0.0742539\pi\) |
−0.286262 | + | 0.958151i | \(0.592413\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 20.7846i | − | 0.754434i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.2846 | + | 9.40192i | 0.590317 | + | 0.340819i | 0.765223 | − | 0.643766i | \(-0.222629\pi\) |
−0.174906 | + | 0.984585i | \(0.555962\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.8038 | − | 22.1769i | 0.463530 | − | 0.802858i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −17.4904 | + | 10.0981i | −0.632366 | + | 0.365097i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −27.0000 | − | 25.9808i | −0.974913 | − | 0.938111i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −33.0000 | + | 19.0526i | −1.19001 | + | 0.687053i | −0.958309 | − | 0.285734i | \(-0.907763\pi\) |
−0.231701 | + | 0.972787i | \(0.574429\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.07180 | + | 8.78461i | −0.182656 | + | 0.316370i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.08846 | + | 1.20577i | 0.0751166 | + | 0.0433686i | 0.537088 | − | 0.843526i | \(-0.319524\pi\) |
−0.461971 | + | 0.886895i | \(0.652858\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 4.73205i | − | 0.169980i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.882686 | + | 1.52886i | 0.0316662 | + | 0.0548474i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.82309 | −0.172805 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.0000 | −0.644091 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.07180 | + | 8.78461i | 0.181251 | + | 0.313936i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 13.0000i | − | 0.463990i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.0981 | + | 21.4186i | 1.32240 | + | 0.763490i | 0.984112 | − | 0.177551i | \(-0.0568175\pi\) |
0.338292 | + | 0.941041i | \(0.390151\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.31347 | + | 2.27499i | −0.0467606 | + | 0.0809918i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 18.0000 | − | 10.3923i | 0.640006 | − | 0.369508i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.4904 | + | 16.0981i | −0.550080 | + | 0.571659i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.294229 | + | 0.169873i | −0.0104352 | + | 0.00602477i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.46410 | − | 11.1962i | 0.228970 | − | 0.396588i | −0.728533 | − | 0.685011i | \(-0.759797\pi\) |
0.957503 | + | 0.288423i | \(0.0931308\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.2942 | − | 12.2942i | −0.753336 | − | 0.434939i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 16.7654i | − | 0.592375i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.4904 | + | 30.2942i | 0.617222 | + | 1.06906i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 28.3923 | 1.00070 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 19.8564 | 0.698979 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −12.0000 | − | 20.7846i | −0.421898 | − | 0.730748i | 0.574228 | − | 0.818696i | \(-0.305302\pi\) |
−0.996125 | + | 0.0879478i | \(0.971969\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 43.3923i | 1.52371i | 0.647748 | + | 0.761855i | \(0.275711\pi\) | ||||
−0.647748 | + | 0.761855i | \(0.724289\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −6.00000 | − | 3.46410i | −0.210429 | − | 0.121491i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.36603 | + | 9.29423i | −0.187964 | + | 0.325563i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.803848 | − | 0.464102i | 0.0281231 | − | 0.0162369i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −25.6077 | + | 7.39230i | −0.894805 | + | 0.258308i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 17.4904 | − | 10.0981i | 0.610419 | − | 0.352425i | −0.162711 | − | 0.986674i | \(-0.552024\pi\) |
0.773129 | + | 0.634249i | \(0.218690\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.5981 | + | 23.5526i | −0.473999 | + | 0.820991i | −0.999557 | − | 0.0297674i | \(-0.990523\pi\) |
0.525558 | + | 0.850758i | \(0.323857\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.90192 | + | 1.09808i | 0.0662165 | + | 0.0382301i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 42.5885i | − | 1.48095i | −0.672086 | − | 0.740473i | \(-0.734602\pi\) | ||
0.672086 | − | 0.740473i | \(-0.265398\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.0000 | + | 17.3205i | 0.347314 | + | 0.601566i | 0.985771 | − | 0.168091i | \(-0.0537604\pi\) |
−0.638457 | + | 0.769657i | \(0.720427\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.732051 | 0.0253946 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −16.3923 | −0.567960 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.50000 | − | 2.59808i | −0.0519096 | − | 0.0899101i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 18.9282i | 0.654254i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −18.8827 | − | 10.9019i | −0.651903 | − | 0.376376i | 0.137282 | − | 0.990532i | \(-0.456163\pi\) |
−0.789185 | + | 0.614156i | \(0.789497\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.2846 | − | 19.5455i | 0.389124 | − | 0.673983i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.58846 | + | 3.80385i | −0.226919 | + | 0.131011i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −6.06218 | + | 11.5000i | −0.208545 | + | 0.395612i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.19615 | − | 3.00000i | 0.178542 | − | 0.103081i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.51666 | − | 6.09103i | 0.120691 | − | 0.209044i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6.58846 | − | 3.80385i | −0.225849 | − | 0.130394i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 13.8564i | − | 0.474434i | −0.971457 | − | 0.237217i | \(-0.923765\pi\) | ||
0.971457 | − | 0.237217i | \(-0.0762353\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.571797 | + | 0.990381i | 0.0195550 | + | 0.0338703i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −16.7321 | −0.571556 | −0.285778 | − | 0.958296i | \(-0.592252\pi\) | ||||
−0.285778 | + | 0.958296i | \(0.592252\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.3731 | 0.695120 | 0.347560 | − | 0.937658i | \(-0.387010\pi\) | ||||
0.347560 | + | 0.937658i | \(0.387010\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.4115 | + | 19.7654i | 0.388904 | + | 0.673602i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 43.1769i | 1.46976i | 0.678198 | + | 0.734880i | \(0.262761\pi\) | ||||
−0.678198 | + | 0.734880i | \(0.737239\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.9904 | + | 7.50000i | 0.441686 | + | 0.255008i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 18.3660 | − | 31.8109i | 0.623743 | − | 1.08035i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.9019 | + | 6.29423i | −0.369822 | + | 0.213517i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 19.4711 | − | 11.2417i | 0.658998 | − | 0.380473i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.50000 | + | 2.59808i | −0.0507093 | + | 0.0878310i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −23.7846 | − | 13.7321i | −0.803149 | − | 0.463698i | 0.0414220 | − | 0.999142i | \(-0.486811\pi\) |
−0.844571 | + | 0.535443i | \(0.820145\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.19615i | 0.276449i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.1603 | − | 22.7942i | −0.443380 | − | 0.767957i | 0.554558 | − | 0.832145i | \(-0.312888\pi\) |
−0.997938 | + | 0.0641883i | \(0.979554\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.58846 | −0.154414 | −0.0772069 | − | 0.997015i | \(-0.524600\pi\) | ||||
−0.0772069 | + | 0.997015i | \(0.524600\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 7.60770 | 0.255730 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −20.3827 | − | 35.3038i | −0.684384 | − | 1.18539i | −0.973630 | − | 0.228133i | \(-0.926738\pi\) |
0.289246 | − | 0.957255i | \(-0.406595\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 32.4115i | − | 1.08705i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 11.5981 | + | 6.69615i | 0.388550 | + | 0.224330i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.696152 | + | 1.20577i | −0.0232959 | + | 0.0403496i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.19615 | − | 4.73205i | 0.273967 | − | 0.158175i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −17.3205 | + | 18.0000i | −0.578315 | + | 0.601003i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −10.3923 | + | 6.00000i | −0.346603 | + | 0.200111i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.90192 | + | 3.29423i | −0.0633623 | + | 0.109747i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.80385 | − | 2.19615i | −0.126584 | − | 0.0730834i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.5885i | 0.484937i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.29423 | + | 3.97372i | 0.0761786 | + | 0.131945i | 0.901598 | − | 0.432574i | \(-0.142395\pi\) |
−0.825420 | + | 0.564520i | \(0.809061\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −26.4449 | −0.877121 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 21.4641 | 0.711137 | 0.355569 | − | 0.934650i | \(-0.384287\pi\) | ||||
0.355569 | + | 0.934650i | \(0.384287\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.2942 | + | 21.2942i | 0.406880 | + | 0.704736i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | − | 4.53590i | − | 0.149952i | ||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 15.9115 | + | 9.18653i | 0.525445 | + | 0.303366i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.3923 | − | 26.6603i | 0.507745 | − | 0.879441i | −0.492215 | − | 0.870474i | \(-0.663812\pi\) |
0.999960 | − | 0.00896670i | \(-0.00285423\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.4115 | − | 10.0526i | 0.573730 | − | 0.331243i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 15.5885 | + | 15.0000i | 0.513100 | + | 0.493731i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.696152 | − | 0.401924i | 0.0228894 | − | 0.0132152i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 11.3301 | − | 19.6244i | 0.372130 | − | 0.644548i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.78461 | − | 1.60770i | −0.0913601 | − | 0.0527468i | 0.453624 | − | 0.891193i | \(-0.350131\pi\) |
−0.544984 | + | 0.838446i | \(0.683464\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.928203i | 0.0304206i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 3.33975 | + | 5.78461i | 0.109338 | + | 0.189380i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 24.5885 | 0.804129 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.60770 | −0.313870 | −0.156935 | − | 0.987609i | \(-0.550161\pi\) | ||||
−0.156935 | + | 0.987609i | \(0.550161\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.66025 | + | 16.7321i | 0.315250 | + | 0.546030i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 3.21539i | − | 0.104819i | −0.998626 | − | 0.0524094i | \(-0.983310\pi\) | ||
0.998626 | − | 0.0524094i | \(-0.0166901\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −85.1769 | − | 49.1769i | −2.77374 | − | 1.60142i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.00000 | − | 10.3923i | 0.195180 | − | 0.338062i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −13.3135 | + | 7.68653i | −0.432630 | + | 0.249779i | −0.700466 | − | 0.713686i | \(-0.747025\pi\) |
0.267837 | + | 0.963464i | \(0.413691\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.0981 | − | 40.8109i | 0.327797 | − | 1.32478i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.7058 | + | 8.49038i | −0.476867 | + | 0.275319i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.29423 | − | 5.70577i | 0.106711 | − | 0.184828i | −0.807725 | − | 0.589559i | \(-0.799302\pi\) |
0.914436 | + | 0.404731i | \(0.132635\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −19.6865 | − | 11.3660i | −0.637041 | − | 0.367796i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 5.56922i | − | 0.180027i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.29423 | − | 5.70577i | −0.106376 | − | 0.184249i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.60770 | 0.277668 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 43.5167 | 1.40230 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −8.19615 | − | 14.1962i | −0.263843 | − | 0.456990i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 44.5692i | − | 1.43325i | −0.697459 | − | 0.716625i | \(-0.745686\pi\) | ||
0.697459 | − | 0.716625i | \(-0.254314\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.41154 | − | 1.39230i | −0.0774699 | − | 0.0447273i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.3827 | − | 40.5000i | 0.750386 | − | 1.29971i | −0.197250 | − | 0.980353i | \(-0.563201\pi\) |
0.947636 | − | 0.319354i | \(-0.103466\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.10770 | + | 1.79423i | −0.0996281 | + | 0.0575203i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.732051 | − | 2.53590i | −0.0234444 | − | 0.0812137i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.1962 | − | 8.19615i | 0.454175 | − | 0.262218i | −0.255417 | − | 0.966831i | \(-0.582213\pi\) |
0.709592 | + | 0.704613i | \(0.248879\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.2058 | + | 17.6769i | −0.326178 | + | 0.564957i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 18.2154 | + | 10.5167i | 0.581573 | + | 0.335771i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 44.5692i | 1.42154i | 0.703426 | + | 0.710769i | \(0.251653\pi\) | ||||
−0.703426 | + | 0.710769i | \(0.748347\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.7942 | + | 18.6962i | 0.343933 | + | 0.595709i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.58846 | 0.209713 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 18.9282 | 0.601882 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.58846 | − | 9.67949i | −0.177523 | − | 0.307479i | 0.763508 | − | 0.645798i | \(-0.223475\pi\) |
−0.941032 | + | 0.338319i | \(0.890142\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 9.46410i | − | 0.300334i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.53590 | − | 3.19615i | −0.175500 | − | 0.101325i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.2846 | + | 35.1340i | −0.642420 | + | 1.11270i | 0.342471 | + | 0.939528i | \(0.388736\pi\) |
−0.984891 | + | 0.173176i | \(0.944597\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.78461 | + | 1.60770i | −0.0881012 | + | 0.0508652i |
(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 | 1040.2.da.a.881.2 | 4 | ||
4.3 | odd | 2 | 130.2.l.a.101.1 | ✓ | 4 | ||
12.11 | even | 2 | 1170.2.bs.c.361.2 | 4 | |||
13.4 | even | 6 | inner | 1040.2.da.a.641.2 | 4 | ||
20.3 | even | 4 | 650.2.n.b.49.1 | 4 | |||
20.7 | even | 4 | 650.2.n.a.49.2 | 4 | |||
20.19 | odd | 2 | 650.2.m.a.101.2 | 4 | |||
52.3 | odd | 6 | 1690.2.d.f.1351.2 | 4 | |||
52.7 | even | 12 | 1690.2.e.l.191.1 | 4 | |||
52.11 | even | 12 | 1690.2.a.m.1.2 | 2 | |||
52.15 | even | 12 | 1690.2.a.j.1.2 | 2 | |||
52.19 | even | 12 | 1690.2.e.n.191.1 | 4 | |||
52.23 | odd | 6 | 1690.2.d.f.1351.4 | 4 | |||
52.31 | even | 4 | 1690.2.e.n.991.1 | 4 | |||
52.35 | odd | 6 | 1690.2.l.g.1161.2 | 4 | |||
52.43 | odd | 6 | 130.2.l.a.121.1 | yes | 4 | ||
52.47 | even | 4 | 1690.2.e.l.991.1 | 4 | |||
52.51 | odd | 2 | 1690.2.l.g.361.2 | 4 | |||
156.95 | even | 6 | 1170.2.bs.c.901.2 | 4 | |||
260.43 | even | 12 | 650.2.n.a.199.2 | 4 | |||
260.119 | even | 12 | 8450.2.a.bm.1.1 | 2 | |||
260.147 | even | 12 | 650.2.n.b.199.1 | 4 | |||
260.199 | odd | 6 | 650.2.m.a.251.2 | 4 | |||
260.219 | even | 12 | 8450.2.a.bf.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
130.2.l.a.101.1 | ✓ | 4 | 4.3 | odd | 2 | ||
130.2.l.a.121.1 | yes | 4 | 52.43 | odd | 6 | ||
650.2.m.a.101.2 | 4 | 20.19 | odd | 2 | |||
650.2.m.a.251.2 | 4 | 260.199 | odd | 6 | |||
650.2.n.a.49.2 | 4 | 20.7 | even | 4 | |||
650.2.n.a.199.2 | 4 | 260.43 | even | 12 | |||
650.2.n.b.49.1 | 4 | 20.3 | even | 4 | |||
650.2.n.b.199.1 | 4 | 260.147 | even | 12 | |||
1040.2.da.a.641.2 | 4 | 13.4 | even | 6 | inner | ||
1040.2.da.a.881.2 | 4 | 1.1 | even | 1 | trivial | ||
1170.2.bs.c.361.2 | 4 | 12.11 | even | 2 | |||
1170.2.bs.c.901.2 | 4 | 156.95 | even | 6 | |||
1690.2.a.j.1.2 | 2 | 52.15 | even | 12 | |||
1690.2.a.m.1.2 | 2 | 52.11 | even | 12 | |||
1690.2.d.f.1351.2 | 4 | 52.3 | odd | 6 | |||
1690.2.d.f.1351.4 | 4 | 52.23 | odd | 6 | |||
1690.2.e.l.191.1 | 4 | 52.7 | even | 12 | |||
1690.2.e.l.991.1 | 4 | 52.47 | even | 4 | |||
1690.2.e.n.191.1 | 4 | 52.19 | even | 12 | |||
1690.2.e.n.991.1 | 4 | 52.31 | even | 4 | |||
1690.2.l.g.361.2 | 4 | 52.51 | odd | 2 | |||
1690.2.l.g.1161.2 | 4 | 52.35 | odd | 6 | |||
8450.2.a.bf.1.1 | 2 | 260.219 | even | 12 | |||
8450.2.a.bm.1.1 | 2 | 260.119 | even | 12 |