Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(225,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, 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("1456.225");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.cc (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: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 38x^{14} + 587x^{12} + 4762x^{10} + 21849x^{8} + 56552x^{6} + 76456x^{4} + 42624x^{2} + 2704 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 364) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 673.4 | ||
Root | \(-0.268953i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.673 |
Dual form | 1456.2.cc.f.225.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.134476 | − | 0.232920i | −0.0776400 | − | 0.134476i | 0.824591 | − | 0.565729i | \(-0.191405\pi\) |
−0.902231 | + | 0.431252i | \(0.858072\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.35585i | 0.606355i | 0.952934 | + | 0.303177i | \(0.0980475\pi\) | ||||
−0.952934 | + | 0.303177i | \(0.901953\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.866025 | − | 0.500000i | −0.327327 | − | 0.188982i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.46383 | − | 2.53543i | 0.487944 | − | 0.845144i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.42763 | + | 1.40159i | −0.731958 | + | 0.422596i | −0.819138 | − | 0.573597i | \(-0.805548\pi\) |
0.0871803 | + | 0.996193i | \(0.472214\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.303042 | + | 3.59279i | 0.0840488 | + | 0.996462i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.315805 | − | 0.182330i | 0.0815405 | − | 0.0470774i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.90934 | + | 5.03912i | −0.705618 | + | 1.22217i | 0.260850 | + | 0.965379i | \(0.415997\pi\) |
−0.966468 | + | 0.256787i | \(0.917336\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.75793 | − | 1.59229i | −0.632713 | − | 0.365297i | 0.149089 | − | 0.988824i | \(-0.452366\pi\) |
−0.781802 | + | 0.623527i | \(0.785699\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.268953i | 0.0586903i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.77674 | − | 6.54150i | −0.787504 | − | 1.36400i | −0.927492 | − | 0.373843i | \(-0.878040\pi\) |
0.139988 | − | 0.990153i | \(-0.455294\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.16167 | 0.632334 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.59426 | −0.306816 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.60830 | − | 6.24977i | −0.670045 | − | 1.16055i | −0.977891 | − | 0.209116i | \(-0.932941\pi\) |
0.307845 | − | 0.951436i | \(-0.400392\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.04407i | 1.44476i | 0.691498 | + | 0.722379i | \(0.256951\pi\) | ||||
−0.691498 | + | 0.722379i | \(0.743049\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.652918 | + | 0.376962i | 0.113658 | + | 0.0656207i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.677925 | − | 1.17420i | 0.114590 | − | 0.198476i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.02532 | + | 3.47872i | −0.990557 | + | 0.571898i | −0.905441 | − | 0.424473i | \(-0.860459\pi\) |
−0.0851160 | + | 0.996371i | \(0.527126\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.796082 | − | 0.553731i | 0.127475 | − | 0.0886679i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.38164 | − | 2.52974i | 0.684298 | − | 0.395079i | −0.117175 | − | 0.993111i | \(-0.537384\pi\) |
0.801472 | + | 0.598032i | \(0.204050\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.13427 | + | 5.42872i | −0.477972 | + | 0.827872i | −0.999681 | − | 0.0252518i | \(-0.991961\pi\) |
0.521709 | + | 0.853123i | \(0.325295\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.43767 | + | 1.98474i | 0.512457 | + | 0.295867i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.64315i | 0.385542i | 0.981244 | + | 0.192771i | \(0.0617475\pi\) | ||||
−0.981244 | + | 0.192771i | \(0.938252\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.56495 | 0.219137 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.0887 | −1.52315 | −0.761574 | − | 0.648079i | \(-0.775573\pi\) | ||||
−0.761574 | + | 0.648079i | \(0.775573\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.90035 | − | 3.29150i | −0.256243 | − | 0.443826i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.856503i | 0.113447i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.45213 | + | 3.14779i | 0.709807 | + | 0.409807i | 0.810989 | − | 0.585061i | \(-0.198929\pi\) |
−0.101183 | + | 0.994868i | \(0.532263\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.40404 | + | 11.0921i | −0.819953 | + | 1.42020i | 0.0857630 | + | 0.996316i | \(0.472667\pi\) |
−0.905716 | + | 0.423885i | \(0.860666\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.53543 | + | 1.46383i | −0.319434 | + | 0.184426i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.87129 | + | 0.410880i | −0.604209 | + | 0.0509634i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.29803 | + | 2.48147i | −0.525088 | + | 0.303160i | −0.739014 | − | 0.673690i | \(-0.764708\pi\) |
0.213926 | + | 0.976850i | \(0.431375\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.01576 | + | 1.75936i | −0.122284 | + | 0.211801i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 14.2993 | + | 8.25572i | 1.69702 | + | 0.979773i | 0.948564 | + | 0.316586i | \(0.102536\pi\) |
0.748453 | + | 0.663188i | \(0.230797\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 15.4351i | − | 1.80654i | −0.429071 | − | 0.903271i | \(-0.641159\pi\) | ||
0.429071 | − | 0.903271i | \(-0.358841\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.425170 | − | 0.736416i | −0.0490944 | − | 0.0850340i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.80318 | 0.319452 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.7661 | −1.66131 | −0.830656 | − | 0.556786i | \(-0.812034\pi\) | ||||
−0.830656 | + | 0.556786i | \(0.812034\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.17711 | − | 7.23496i | −0.464123 | − | 0.803884i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 9.79310i | − | 1.07493i | −0.843285 | − | 0.537466i | \(-0.819382\pi\) | ||
0.843285 | − | 0.537466i | \(-0.180618\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.83230 | − | 3.94463i | −0.741067 | − | 0.427855i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.970464 | + | 1.68089i | −0.104045 | + | 0.180211i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.24707 | + | 4.18410i | −0.768188 | + | 0.443513i | −0.832228 | − | 0.554434i | \(-0.812935\pi\) |
0.0640399 | + | 0.997947i | \(0.479602\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.53395 | − | 3.26297i | 0.160802 | − | 0.342052i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.87363 | − | 1.08174i | 0.194286 | − | 0.112171i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.15891 | − | 3.73934i | 0.221499 | − | 0.383648i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.5685 | − | 6.10170i | −1.07306 | − | 0.619534i | −0.144047 | − | 0.989571i | \(-0.546012\pi\) |
−0.929017 | + | 0.370037i | \(0.879345\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.20678i | 0.824813i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.21143 | − | 2.09825i | −0.120541 | − | 0.208784i | 0.799440 | − | 0.600746i | \(-0.205130\pi\) |
−0.919981 | + | 0.391962i | \(0.871796\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.4909 | −1.42783 | −0.713917 | − | 0.700230i | \(-0.753081\pi\) | ||||
−0.713917 | + | 0.700230i | \(0.753081\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.364660 | −0.0355872 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.24370 | + | 5.61826i | 0.313581 | + | 0.543138i | 0.979135 | − | 0.203212i | \(-0.0651381\pi\) |
−0.665554 | + | 0.746350i | \(0.731805\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.93644i | 0.281260i | 0.990062 | + | 0.140630i | \(0.0449129\pi\) | ||||
−0.990062 | + | 0.140630i | \(0.955087\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.62053 | + | 0.935612i | 0.153814 | + | 0.0888044i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.66909 | − | 2.89095i | 0.157015 | − | 0.271957i | −0.776776 | − | 0.629777i | \(-0.783146\pi\) |
0.933791 | + | 0.357819i | \(0.116480\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.86929 | − | 5.12069i | 0.827066 | − | 0.477507i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 9.55289 | + | 4.49090i | 0.883165 | + | 0.415184i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.03912 | − | 2.90934i | 0.461936 | − | 0.266699i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.57108 | + | 2.72119i | −0.142825 | + | 0.247381i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.17846 | − | 0.680382i | −0.106258 | − | 0.0613480i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.0660i | 0.989773i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.27512 | + | 10.8688i | 0.556827 | + | 0.964452i | 0.997759 | + | 0.0669115i | \(0.0213145\pi\) |
−0.440932 | + | 0.897540i | \(0.645352\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.68594 | 0.148439 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.26001 | −0.110087 | −0.0550437 | − | 0.998484i | \(-0.517530\pi\) | ||||
−0.0550437 | + | 0.998484i | \(0.517530\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.59229 | + | 2.75793i | 0.138069 | + | 0.239143i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 2.16158i | − | 0.186039i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −7.20794 | − | 4.16151i | −0.615816 | − | 0.355542i | 0.159422 | − | 0.987211i | \(-0.449037\pi\) |
−0.775238 | + | 0.631669i | \(0.782370\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.89438 | + | 5.01322i | −0.245498 | + | 0.425216i | −0.962272 | − | 0.272091i | \(-0.912285\pi\) |
0.716773 | + | 0.697306i | \(0.245618\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.615642 | − | 0.355441i | 0.0518464 | − | 0.0299335i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.77131 | − | 8.29723i | −0.482621 | − | 0.693849i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.47375 | − | 4.89232i | 0.703707 | − | 0.406285i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.134476 | − | 0.232920i | 0.0110914 | − | 0.0192109i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.3009 | + | 7.10193i | 1.00773 | + | 0.581812i | 0.910526 | − | 0.413452i | \(-0.135677\pi\) |
0.0972028 | + | 0.995265i | \(0.469010\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.1509i | 0.907451i | 0.891142 | + | 0.453725i | \(0.149905\pi\) | ||||
−0.891142 | + | 0.453725i | \(0.850095\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.51757 | + | 14.7529i | 0.688605 | + | 1.19270i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.9066 | −0.876036 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.04749 | 0.323025 | 0.161513 | − | 0.986871i | \(-0.448363\pi\) | ||||
0.161513 | + | 0.986871i | \(0.448363\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.49117 | + | 2.58278i | 0.118257 | + | 0.204827i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.55347i | 0.595297i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.56675 | + | 2.63661i | 0.357695 | + | 0.206515i | 0.668069 | − | 0.744099i | \(-0.267121\pi\) |
−0.310374 | + | 0.950615i | \(0.600454\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.511105 | + | 0.885259i | −0.0397894 | + | 0.0689173i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.63307 | − | 2.67491i | 0.358518 | − | 0.206990i | −0.309912 | − | 0.950765i | \(-0.600300\pi\) |
0.668430 | + | 0.743775i | \(0.266966\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.8163 | + | 2.17754i | −0.985872 | + | 0.167503i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.07429 | + | 4.66170i | −0.617457 | + | 0.356489i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.87155 | + | 8.43777i | −0.370377 | + | 0.641511i | −0.989623 | − | 0.143685i | \(-0.954105\pi\) |
0.619247 | + | 0.785197i | \(0.287438\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.73809 | − | 1.58083i | −0.206980 | − | 0.119500i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 1.69321i | − | 0.127270i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.70263 | − | 9.87724i | −0.426234 | − | 0.738259i | 0.570301 | − | 0.821436i | \(-0.306827\pi\) |
−0.996535 | + | 0.0831767i | \(0.973493\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 25.4727 | 1.89337 | 0.946685 | − | 0.322160i | \(-0.104409\pi\) | ||||
0.946685 | + | 0.322160i | \(0.104409\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.44477 | 0.254645 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.71663 | − | 8.16943i | −0.346773 | − | 0.600629i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 16.3108i | − | 1.19277i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.38067 | + | 0.797131i | 0.100429 | + | 0.0579828i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.18905 | − | 14.1838i | 0.592539 | − | 1.02631i | −0.401351 | − | 0.915924i | \(-0.631459\pi\) |
0.993889 | − | 0.110382i | \(-0.0352075\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.28132 | − | 4.78122i | 0.596103 | − | 0.344160i | −0.171404 | − | 0.985201i | \(-0.554830\pi\) |
0.767507 | + | 0.641041i | \(0.221497\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.750776 | + | 1.07937i | 0.0537642 | + | 0.0772951i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.60716 | − | 1.50525i | 0.185753 | − | 0.107244i | −0.404240 | − | 0.914653i | \(-0.632464\pi\) |
0.589993 | + | 0.807409i | \(0.299131\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.30985 | − | 4.00077i | 0.163741 | − | 0.283607i | −0.772467 | − | 0.635055i | \(-0.780977\pi\) |
0.936207 | + | 0.351448i | \(0.114311\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.15597 | + | 0.667399i | 0.0815357 | + | 0.0470747i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.21661i | 0.506507i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.42995 | + | 5.94085i | 0.239558 | + | 0.414927i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −22.1140 | −1.53703 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.92697 | 0.617492 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.16932 | + | 2.02533i | 0.0804995 | + | 0.139429i | 0.903465 | − | 0.428663i | \(-0.141015\pi\) |
−0.822965 | + | 0.568092i | \(0.807682\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 4.44080i | − | 0.304279i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.36053 | − | 4.24960i | −0.501984 | − | 0.289821i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.02203 | − | 6.96637i | 0.273033 | − | 0.472908i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.59515 | + | 2.07566i | −0.242937 | + | 0.140260i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.9862 | − | 8.92559i | −1.27715 | − | 0.600400i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.21429 | − | 2.43312i | 0.282210 | − | 0.162934i | −0.352214 | − | 0.935920i | \(-0.614571\pi\) |
0.634423 | + | 0.772986i | \(0.281238\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.62815 | − | 8.01620i | 0.308544 | − | 0.534413i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 24.3177 | + | 14.0398i | 1.61402 | + | 0.931855i | 0.988426 | + | 0.151706i | \(0.0484766\pi\) |
0.625594 | + | 0.780149i | \(0.284857\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.179280i | 0.0118471i | 0.999982 | + | 0.00592357i | \(0.00188554\pi\) | ||||
−0.999982 | + | 0.00592357i | \(0.998114\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.376962 | − | 0.652918i | −0.0248023 | − | 0.0429588i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.1384 | 0.991747 | 0.495873 | − | 0.868395i | \(-0.334848\pi\) | ||||
0.495873 | + | 0.868395i | \(0.334848\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.58371 | −0.233775 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.98569 | + | 3.43931i | 0.128984 | + | 0.223407i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 12.8703i | − | 0.832512i | −0.909247 | − | 0.416256i | \(-0.863342\pi\) | ||
0.909247 | − | 0.416256i | \(-0.136658\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.51452 | + | 4.91586i | 0.548469 | + | 0.316659i | 0.748504 | − | 0.663130i | \(-0.230772\pi\) |
−0.200035 | + | 0.979789i | \(0.564106\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.51484 | + | 6.08788i | −0.225477 | + | 0.390538i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.17420 | + | 0.677925i | −0.0750170 | + | 0.0433111i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.88501 | − | 10.3912i | 0.310825 | − | 0.661177i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.28101 | + | 1.31694i | −0.144553 | + | 0.0834578i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.66099 | − | 15.0013i | 0.546677 | − | 0.946872i | −0.451823 | − | 0.892108i | \(-0.649226\pi\) |
0.998499 | − | 0.0547641i | \(-0.0174407\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.3370 | + | 10.5869i | 1.15284 | + | 0.665592i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.12184i | 0.132875i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.35302 | − | 9.27170i | −0.333912 | − | 0.578353i | 0.649363 | − | 0.760478i | \(-0.275036\pi\) |
−0.983275 | + | 0.182126i | \(0.941702\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.95744 | 0.432314 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −21.1278 | −1.30778 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.03484 | − | 12.1847i | −0.433787 | − | 0.751341i | 0.563409 | − | 0.826178i | \(-0.309490\pi\) |
−0.997196 | + | 0.0748372i | \(0.976156\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 15.0346i | − | 0.923567i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.94912 | + | 1.12533i | 0.119284 | + | 0.0688688i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.272011 | − | 0.471138i | 0.0165848 | − | 0.0287258i | −0.857614 | − | 0.514294i | \(-0.828054\pi\) |
0.874199 | + | 0.485568i | \(0.161387\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.641910 | − | 0.370607i | 0.0389933 | − | 0.0225128i | −0.480377 | − | 0.877062i | \(-0.659500\pi\) |
0.519370 | + | 0.854550i | \(0.326167\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.966292 | + | 0.0815041i | −0.0584827 | + | 0.00493285i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.67536 | + | 4.43137i | −0.462842 | + | 0.267222i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.06675 | + | 12.2400i | −0.424600 | + | 0.735429i | −0.996383 | − | 0.0849763i | \(-0.972919\pi\) |
0.571783 | + | 0.820405i | \(0.306252\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 20.3952 | + | 11.7752i | 1.22103 | + | 0.704961i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 25.8051i | − | 1.53940i | −0.638404 | − | 0.769702i | \(-0.720405\pi\) | ||
0.638404 | − | 0.769702i | \(-0.279595\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.6409 | − | 23.6267i | −0.810865 | − | 1.40446i | −0.912259 | − | 0.409613i | \(-0.865664\pi\) |
0.101394 | − | 0.994846i | \(-0.467670\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.16129 | −0.0687889 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.05949 | −0.298652 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.42851 | − | 14.5986i | −0.495795 | − | 0.858742i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.28214i | 0.192403i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.50010 | − | 0.866083i | −0.0876367 | − | 0.0505971i | 0.455541 | − | 0.890215i | \(-0.349446\pi\) |
−0.543178 | + | 0.839618i | \(0.682779\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.26793 | + | 7.39227i | −0.248489 | + | 0.430395i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.87028 | − | 2.23451i | 0.224576 | − | 0.129659i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 22.3577 | − | 15.5514i | 1.29298 | − | 0.899360i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.42872 | − | 3.13427i | 0.312906 | − | 0.180656i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.325817 | + | 0.564331i | −0.0187177 | + | 0.0324200i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −15.0393 | − | 8.68292i | −0.861145 | − | 0.497182i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.4365i | 1.22345i | 0.791072 | + | 0.611723i | \(0.209523\pi\) | ||||
−0.791072 | + | 0.611723i | \(0.790477\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.94869 | + | 3.37523i | 0.110857 | + | 0.192010i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 27.2724 | 1.54647 | 0.773237 | − | 0.634117i | \(-0.218636\pi\) | ||||
0.773237 | + | 0.634117i | \(0.218636\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.28221 | 0.411615 | 0.205807 | − | 0.978593i | \(-0.434018\pi\) | ||||
0.205807 | + | 0.978593i | \(0.434018\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.98474 | − | 3.43767i | −0.111827 | − | 0.193691i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.54836i | 0.143130i | 0.997436 | + | 0.0715651i | \(0.0227994\pi\) | ||||
−0.997436 | + | 0.0715651i | \(0.977201\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.5192 | + | 10.1147i | 0.980890 | + | 0.566317i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.872404 | − | 1.51105i | 0.0486928 | − | 0.0843384i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 16.0475 | − | 9.26503i | 0.892907 | − | 0.515520i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.958120 | + | 11.3592i | 0.0531469 | + | 0.630096i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.683957 | − | 0.394883i | 0.0378229 | − | 0.0218371i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.32157 | − | 2.28903i | 0.0728607 | − | 0.126198i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.169450 | − | 0.0978320i | −0.00931381 | − | 0.00537733i | 0.495336 | − | 0.868702i | \(-0.335045\pi\) |
−0.504650 | + | 0.863324i | \(0.668378\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 20.3691i | 1.11622i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.36450 | − | 5.82749i | −0.183822 | − | 0.318390i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.00900 | 0.109437 | 0.0547185 | − | 0.998502i | \(-0.482574\pi\) | ||||
0.0547185 | + | 0.998502i | \(0.482574\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.897813 | −0.0487625 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.2745 | − | 19.5280i | −0.610549 | − | 1.05750i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.38542 | − | 1.37722i | −0.128427 | − | 0.0741473i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.27450 | − | 3.93956i | 0.122102 | − | 0.211486i | −0.798495 | − | 0.602002i | \(-0.794370\pi\) |
0.920596 | + | 0.390516i | \(0.127703\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.65700 | − | 2.68872i | 0.249284 | − | 0.143924i | −0.370153 | − | 0.928971i | \(-0.620695\pi\) |
0.619436 | + | 0.785047i | \(0.287361\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.483129 | − | 5.72786i | −0.0257875 | − | 0.305730i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.10223 | − | 4.10047i | 0.378013 | − | 0.218246i | −0.298940 | − | 0.954272i | \(-0.596633\pi\) |
0.676954 | + | 0.736026i | \(0.263300\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.1935 | + | 19.3877i | −0.594090 | + | 1.02899i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.35529 | − | 0.782475i | −0.0717294 | − | 0.0414130i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 31.7664i | 1.67657i | 0.545233 | + | 0.838284i | \(0.316441\pi\) | ||||
−0.545233 | + | 0.838284i | \(0.683559\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.42921 | − | 7.67162i | −0.233117 | − | 0.403770i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.845093 | 0.0443559 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.9277 | 1.09541 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.66870 | + | 15.0146i | 0.452502 | + | 0.783757i | 0.998541 | − | 0.0540031i | \(-0.0171981\pi\) |
−0.546038 | + | 0.837760i | \(0.683865\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 14.8125i | − | 0.771107i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.60308 | + | 5.54434i | 0.498567 | + | 0.287848i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.04814 | + | 13.9398i | −0.416717 | + | 0.721775i | −0.995607 | − | 0.0936306i | \(-0.970153\pi\) |
0.578890 | + | 0.815406i | \(0.303486\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.57749 | − | 1.48812i | 0.133101 | − | 0.0768460i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 21.3607 | − | 14.8578i | 1.10013 | − | 0.765218i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.2907 | − | 8.82811i | 0.785432 | − | 0.453470i | −0.0529197 | − | 0.998599i | \(-0.516853\pi\) |
0.838352 | + | 0.545129i | \(0.183519\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.68771 | − | 2.92320i | 0.0864641 | − | 0.149760i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.12262 | − | 4.11225i | −0.363949 | − | 0.210126i | 0.306863 | − | 0.951754i | \(-0.400721\pi\) |
−0.670812 | + | 0.741628i | \(0.734054\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.80070i | 0.193702i | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 9.17609 | + | 15.8935i | 0.466447 | + | 0.807910i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 15.1688 | 0.769090 | 0.384545 | − | 0.923106i | \(-0.374358\pi\) | ||||
0.384545 | + | 0.923106i | \(0.374358\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 43.9512 | 2.22271 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.169441 | + | 0.293481i | 0.00854719 | + | 0.0148042i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 20.0206i | − | 1.00734i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −24.5139 | − | 14.1531i | −1.23032 | − | 0.710325i | −0.263223 | − | 0.964735i | \(-0.584785\pi\) |
−0.967096 | + | 0.254410i | \(0.918119\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.428252 | − | 0.741753i | 0.0214394 | − | 0.0371341i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.8257 | − | 8.55962i | 0.740360 | − | 0.427447i | −0.0818403 | − | 0.996645i | \(-0.526080\pi\) |
0.822200 | + | 0.569198i | \(0.192746\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.9007 | + | 2.43769i | −1.43965 | + | 0.121430i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 9.80952 | − | 5.66353i | 0.487439 | − | 0.281423i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.75149 | − | 16.8901i | 0.483364 | − | 0.837210i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.82072 | + | 5.66999i | 0.485603 | + | 0.280363i | 0.722749 | − | 0.691111i | \(-0.242878\pi\) |
−0.237145 | + | 0.971474i | \(0.576212\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2.23850i | 0.110417i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.14779 | − | 5.45213i | −0.154893 | − | 0.268282i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.2780 | 0.651790 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.55691 | 0.0762420 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.0694276 | + | 0.120252i | 0.00339176 | + | 0.00587470i | 0.867716 | − | 0.497060i | \(-0.165587\pi\) |
−0.864325 | + | 0.502934i | \(0.832254\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.3258i | 1.18557i | 0.805362 | + | 0.592783i | \(0.201971\pi\) | ||||
−0.805362 | + | 0.592783i | \(0.798029\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.70152 | + | 3.86912i | 0.325839 | + | 0.188123i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.19837 | + | 15.9320i | −0.446186 | + | 0.772818i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.0921 | − | 6.40404i | 0.536785 | − | 0.309913i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.15649 | + | 2.46003i | −0.0558357 | + | 0.118772i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −24.9349 | + | 14.3962i | −1.20107 | + | 0.693440i | −0.960794 | − | 0.277263i | \(-0.910573\pi\) |
−0.240280 | + | 0.970704i | \(0.577239\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6367 | + | 21.8873i | −0.607279 | + | 1.05184i | 0.384408 | + | 0.923163i | \(0.374406\pi\) |
−0.991687 | + | 0.128675i | \(0.958928\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.27904 | − | 1.31580i | −0.109272 | − | 0.0630880i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 24.0547i | 1.15069i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.01512 | − | 5.22234i | −0.143904 | − | 0.249248i | 0.785060 | − | 0.619420i | \(-0.212632\pi\) |
−0.928963 | + | 0.370172i | \(0.879299\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.92766 | 0.139413 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −23.4988 | −1.11646 | −0.558230 | − | 0.829686i | \(-0.688519\pi\) | ||||
−0.558230 | + | 0.829686i | \(0.688519\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.67301 | − | 9.82594i | −0.268927 | − | 0.465794i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 3.82017i | − | 0.180688i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 20.2543 | + | 11.6938i | 0.955859 | + | 0.551865i | 0.894896 | − | 0.446275i | \(-0.147250\pi\) |
0.0609627 | + | 0.998140i | \(0.480583\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.09133 | + | 12.2826i | −0.333918 | + | 0.578363i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.59728 | − | 1.49954i | 0.122031 | − | 0.0704545i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.42410 | + | 2.07981i | 0.207405 | + | 0.0975031i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.6616 | + | 13.0837i | −1.06007 | + | 0.612030i | −0.925451 | − | 0.378868i | \(-0.876313\pi\) |
−0.134616 | + | 0.990898i | \(0.542980\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.63825 | − | 8.03369i | 0.216495 | − | 0.374980i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.8524 | − | 12.6165i | −1.01777 | − | 0.587609i | −0.104312 | − | 0.994545i | \(-0.533264\pi\) |
−0.913457 | + | 0.406936i | \(0.866597\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.1600i | − | 0.843968i | −0.906603 | − | 0.421984i | \(-0.861334\pi\) | ||
0.906603 | − | 0.421984i | \(-0.138666\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.46668 | + | 2.54036i | 0.0680154 | + | 0.117806i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 12.6328 | 0.584577 | 0.292289 | − | 0.956330i | \(-0.405583\pi\) | ||||
0.292289 | + | 0.956330i | \(0.405583\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.96294 | 0.229167 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.544293 | − | 0.942743i | −0.0250797 | − | 0.0434393i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 17.5719i | − | 0.807956i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.71966 | − | 5.03430i | −0.400086 | − | 0.230990i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −16.2320 | + | 28.1146i | −0.743211 | + | 1.28728i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.6585 | + | 6.15368i | −0.486999 | + | 0.281169i | −0.723329 | − | 0.690504i | \(-0.757389\pi\) |
0.236330 | + | 0.971673i | \(0.424055\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.3243 | − | 20.5935i | −0.653130 | − | 0.938984i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.75936 | − | 1.01576i | 0.0800534 | − | 0.0462189i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 8.27299 | − | 14.3292i | 0.375657 | − | 0.650658i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.5393 | − | 7.81693i | −0.613525 | − | 0.354219i | 0.160819 | − | 0.986984i | \(-0.448587\pi\) |
−0.774344 | + | 0.632765i | \(0.781920\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 1.41825i | − | 0.0641355i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.10543 | − | 8.84286i | −0.230405 | − | 0.399073i | 0.727523 | − | 0.686084i | \(-0.240672\pi\) |
−0.957927 | + | 0.287011i | \(0.907338\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 41.9911 | 1.89119 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −11.1272 | −0.500129 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.25572 | − | 14.2993i | −0.370319 | − | 0.641412i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 0.681003i | − | 0.0304859i | −0.999884 | − | 0.0152430i | \(-0.995148\pi\) | ||
0.999884 | − | 0.0152430i | \(-0.00485217\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.24608 | − | 0.719424i | −0.0556707 | − | 0.0321415i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.6701 | + | 30.6056i | −0.787873 | + | 1.36464i | 0.139395 | + | 0.990237i | \(0.455484\pi\) |
−0.927268 | + | 0.374399i | \(0.877849\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.84492 | − | 1.64251i | 0.126597 | − | 0.0730909i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.23069 | + | 2.69235i | 0.0990683 | + | 0.119572i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 14.5717 | − | 8.41300i | 0.645881 | − | 0.372900i | −0.140995 | − | 0.990010i | \(-0.545030\pi\) |
0.786876 | + | 0.617111i | \(0.211697\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.71755 | + | 13.3672i | −0.341404 | + | 0.591330i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.39687 | + | 2.53853i | 0.194126 | + | 0.112079i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − | 19.6475i | − | 0.865774i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.70461 | − | 6.41658i | −0.162929 | − | 0.282201i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.62043 | 0.115024 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.76619 | 0.208811 | 0.104405 | − | 0.994535i | \(-0.466706\pi\) | ||||
0.104405 | + | 0.994535i | \(0.466706\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.319080 | − | 0.552662i | −0.0139524 | − | 0.0241662i | 0.858965 | − | 0.512034i | \(-0.171108\pi\) |
−0.872917 | + | 0.487868i | \(0.837775\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.850340i | 0.0371119i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −40.5351 | − | 23.4029i | −1.76573 | − | 1.01945i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.0275 | + | 29.4924i | −0.740325 | + | 1.28228i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 15.9620 | − | 9.21567i | 0.692692 | − | 0.399926i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.4167 | + | 14.9757i | 0.451196 | + | 0.648670i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.61752 | + | 4.39798i | −0.329334 | + | 0.190141i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.53374 | + | 2.65651i | −0.0661857 | + | 0.114637i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.42763 | − | 1.40159i | −0.104565 | − | 0.0603708i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 22.2050i | − | 0.954668i | −0.878722 | − | 0.477334i | \(-0.841603\pi\) | ||
0.878722 | − | 0.477334i | \(-0.158397\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.42548 | − | 5.93310i | −0.147001 | − | 0.254614i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.98138 | −0.170544 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.2608 | −0.695263 | −0.347631 | − | 0.937631i | \(-0.613014\pi\) | ||||
−0.347631 | + | 0.937631i | \(0.613014\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 18.7489 | + | 32.4740i | 0.800182 | + | 1.38596i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 22.9819i | 0.979062i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.7878 | + | 7.38303i | 0.543792 | + | 0.313958i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.26855 | + | 2.19719i | −0.0538470 | + | 0.0932657i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −18.5915 | + | 10.7338i | −0.787747 | + | 0.454806i | −0.839169 | − | 0.543871i | \(-0.816958\pi\) |
0.0514219 | + | 0.998677i | \(0.483625\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −20.4541 | − | 9.61566i | −0.865115 | − | 0.406699i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.79912 | + | 2.19342i | −0.160399 | + | 0.0926064i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.59103 | − | 9.68395i | 0.235634 | − | 0.408130i | −0.723823 | − | 0.689986i | \(-0.757617\pi\) |
0.959457 | + | 0.281856i | \(0.0909500\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.91969 | + | 2.26304i | 0.164903 | + | 0.0952066i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.35421i | 0.350844i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.58165 | − | 11.3998i | −0.275917 | − | 0.477903i | 0.694449 | − | 0.719542i | \(-0.255648\pi\) |
−0.970366 | + | 0.241639i | \(0.922315\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.4199 | 0.729001 | 0.364501 | − | 0.931203i | \(-0.381240\pi\) | ||||
0.364501 | + | 0.931203i | \(0.381240\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.40494 | −0.184019 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −11.9408 | − | 20.6821i | −0.497965 | − | 0.862501i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.47023i | 0.352620i | 0.984335 | + | 0.176310i | \(0.0564161\pi\) | ||||
−0.984335 | + | 0.176310i | \(0.943584\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.22729 | − | 1.28592i | −0.0925629 | − | 0.0534412i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.89655 | + | 8.48107i | −0.203143 | + | 0.351854i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 26.9192 | − | 15.5418i | 1.11488 | − | 0.643676i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.08899 | + | 12.9523i | −0.251749 | + | 0.535511i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −18.2459 | + | 10.5342i | −0.753087 | + | 0.434795i | −0.826808 | − | 0.562484i | \(-0.809846\pi\) |
0.0737213 | + | 0.997279i | \(0.476512\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.8085 | − | 22.1850i | 0.527765 | − | 0.914116i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.701205 | − | 0.404841i | −0.0288437 | − | 0.0166529i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 13.2761i | − | 0.545185i | −0.962130 | − | 0.272593i | \(-0.912119\pi\) | ||
0.962130 | − | 0.272593i | \(-0.0878811\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.94463 | + | 6.83230i | 0.161714 | + | 0.280097i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.24248 | −0.0508513 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.39084 | −0.220264 | −0.110132 | − | 0.993917i | \(-0.535127\pi\) | ||||
−0.110132 | + | 0.993917i | \(0.535127\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.2204 | + | 21.1663i | 0.498480 | + | 0.863392i | 0.999998 | − | 0.00175467i | \(-0.000558528\pi\) |
−0.501519 | + | 0.865147i | \(0.667225\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.5298i | 0.591700i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.68953 | − | 2.13015i | −0.150001 | − | 0.0866029i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.9291 | + | 22.3939i | −0.524776 | + | 0.908939i | 0.474808 | + | 0.880090i | \(0.342518\pi\) |
−0.999584 | + | 0.0288492i | \(0.990816\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.68089 | − | 0.970464i | 0.0681132 | − | 0.0393252i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.49628 | + | 0.800985i | −0.384178 | + | 0.0324044i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.2706 | − | 7.08441i | 0.495603 | − | 0.286136i | −0.231293 | − | 0.972884i | \(-0.574296\pi\) |
0.726896 | + | 0.686748i | \(0.240962\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.922496 | − | 1.59781i | 0.0371986 | − | 0.0644299i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.8763 | + | 23.0226i | 1.60536 | + | 0.926855i | 0.990390 | + | 0.138305i | \(0.0441654\pi\) |
0.614970 | + | 0.788550i | \(0.289168\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 12.0284i | − | 0.483464i | −0.970343 | − | 0.241732i | \(-0.922285\pi\) | ||
0.970343 | − | 0.241732i | \(-0.0777155\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.02111 | + | 10.4289i | 0.241619 | + | 0.418496i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.36820 | 0.335265 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.804500 | 0.0321800 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.20047 | − | 2.07927i | −0.0479421 | − | 0.0830381i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 40.4831i | − | 1.61417i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0476 | − | 12.1518i | −0.837890 | − | 0.483756i | 0.0186564 | − | 0.999826i | \(-0.494061\pi\) |
−0.856546 | + | 0.516070i | \(0.827394\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.314493 | − | 0.544718i | 0.0125000 | − | 0.0216506i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.7365 | + | 8.50812i | −0.584800 | + | 0.337634i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.95993 | + | 2.05884i | −0.117277 | + | 0.0815742i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 41.8636 | − | 24.1700i | 1.65610 | − | 0.956149i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.88276 | + | 15.3854i | −0.350848 | + | 0.607687i | −0.986398 | − | 0.164373i | \(-0.947440\pi\) |
0.635550 | + | 0.772060i | \(0.280773\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 37.3742 | + | 21.5780i | 1.47389 | + | 0.850953i | 0.999568 | − | 0.0293964i | \(-0.00935852\pi\) |
0.474326 | + | 0.880349i | \(0.342692\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.28589i | 0.0900067i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.39974 | + | 9.35262i | 0.212286 | + | 0.367689i | 0.952429 | − | 0.304759i | \(-0.0985760\pi\) |
−0.740144 | + | 0.672449i | \(0.765243\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −17.6477 | −0.692731 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.16348 | −0.0847933 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.53280 | + | 2.65489i | 0.0599831 | + | 0.103894i | 0.894458 | − | 0.447153i | \(-0.147562\pi\) |
−0.834475 | + | 0.551047i | \(0.814229\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 1.70838i | − | 0.0667520i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −39.1346 | − | 22.5944i | −1.52679 | − | 0.881491i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.82436 | + | 3.15988i | −0.0710670 | + | 0.123092i | −0.899369 | − | 0.437190i | \(-0.855974\pi\) |
0.828302 | + | 0.560282i | \(0.189307\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.5777 | + | 13.6126i | −0.917068 | + | 0.529469i | −0.882698 | − | 0.469940i | \(-0.844276\pi\) |
−0.0343693 | + | 0.999409i | \(0.510942\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.474246 | + | 5.62255i | 0.0184182 | + | 0.218362i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.73934 | + | 2.15891i | −0.145005 | + | 0.0837189i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.2552 | + | 47.2074i | −1.05533 | + | 1.82788i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.13345 | − | 0.654396i | −0.0438216 | − | 0.0253004i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 35.9034i | − | 1.38604i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.1485 | + | 24.5059i | 0.545384 | + | 0.944633i | 0.998583 | + | 0.0532233i | \(0.0169495\pi\) |
−0.453199 | + | 0.891410i | \(0.649717\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.04053 | −0.194010 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −28.8361 | −1.10826 | −0.554131 | − | 0.832429i | \(-0.686949\pi\) | ||||
−0.554131 | + | 0.832429i | \(0.686949\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.10170 | + | 10.5685i | 0.234162 | + | 0.405580i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 7.55209i | − | 0.289397i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −35.4243 | − | 20.4522i | −1.35547 | − | 0.782583i | −0.366464 | − | 0.930432i | \(-0.619432\pi\) |
−0.989010 | + | 0.147849i | \(0.952765\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.64238 | − | 9.77290i | 0.215584 | − | 0.373403i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.0417579 | − | 0.0241089i | 0.00159316 | − | 0.000919813i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.36034 | − | 39.8393i | −0.128019 | − | 1.51776i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.5934 | − | 21.1272i | 1.39208 | − | 0.803717i | 0.398534 | − | 0.917154i | \(-0.369519\pi\) |
0.993545 | + | 0.113436i | \(0.0361858\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.10339 | − | 7.10728i | 0.155875 | − | 0.269983i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.79717 | − | 3.92435i | −0.257831 | − | 0.148859i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.4395i | 1.11510i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.03575 | − | 3.52603i | −0.0769992 | − | 0.133367i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.3734 | −1.14719 | −0.573594 | − | 0.819140i | \(-0.694451\pi\) | ||||
−0.573594 | + | 0.819140i | \(0.694451\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.1566 | 0.835650 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.481925 | + | 0.834718i | 0.0181503 | + | 0.0314373i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.42285i | 0.0911208i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.2907 | − | 11.7148i | −0.762033 | − | 0.439960i | 0.0679919 | − | 0.997686i | \(-0.478341\pi\) |
−0.830025 | + | 0.557726i | \(0.811674\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −21.6150 | + | 37.4383i | −0.810627 | + | 1.40405i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 52.6203 | − | 30.3803i | 1.97064 | − | 1.13775i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.2498 | − | 7.82503i | 0.420719 | − | 0.292639i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.99776 | + | 1.73076i | −0.111953 | + | 0.0646363i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.51491 | − | 6.08800i | 0.131084 | − | 0.227044i | −0.793011 | − | 0.609208i | \(-0.791488\pi\) |
0.924095 | + | 0.382164i | \(0.124821\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.5495 | + | 7.24547i | 0.467369 | + | 0.269835i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 2.64427i | − | 0.0983415i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −11.4083 | − | 19.7597i | −0.423692 | − | 0.733857i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.6810 | 0.767015 | 0.383507 | − | 0.923538i | \(-0.374716\pi\) | ||||
0.383507 | + | 0.923538i | \(0.374716\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.1720 | −0.858222 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −18.2373 | − | 31.5880i | −0.674531 | − | 1.16832i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.0035i | 1.44063i | 0.693648 | + | 0.720314i | \(0.256002\pi\) | ||||
−0.693648 | + | 0.720314i | \(0.743998\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.315805 | + | 0.182330i | 0.0116486 | + | 0.00672534i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 6.95602 | − | 12.0482i | 0.256228 | − | 0.443800i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −24.8910 | + | 14.3708i | −0.915629 | + | 0.528639i | −0.882238 | − | 0.470803i | \(-0.843964\pi\) |
−0.0333913 | + | 0.999442i | \(0.510631\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.07724 | + | 0.259557i | −0.113045 | + | 0.00953505i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.48059 | − | 3.16422i | 0.201063 | − | 0.116084i | −0.396088 | − | 0.918213i | \(-0.629633\pi\) |
0.597151 | + | 0.802129i | \(0.296299\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.62915 | + | 16.6782i | −0.352785 | + | 0.611041i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −24.8297 | − | 14.3355i | −0.908473 | − | 0.524507i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 6.48741i | − | 0.237045i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.7203 | + | 27.2283i | 0.573641 | + | 0.993575i | 0.996188 | + | 0.0872339i | \(0.0278028\pi\) |
−0.422547 | + | 0.906341i | \(0.638864\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.65880 | −0.169776 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −15.1190 | −0.550237 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.7212 | − | 22.0337i | −0.462358 | − | 0.800828i | 0.536720 | − | 0.843760i | \(-0.319663\pi\) |
−0.999078 | + | 0.0429328i | \(0.986330\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 5.69475i | − | 0.206706i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17.8492 | − | 10.3053i | −0.647034 | − | 0.373565i | 0.140285 | − | 0.990111i | \(-0.455198\pi\) |
−0.787319 | + | 0.616546i | \(0.788531\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.46822 | − | 2.54304i | 0.0531532 | − | 0.0920641i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −20.0027 | + | 11.5485i | −0.723198 | + | 0.417539i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.65713 | + | 20.5423i | −0.348699 | + | 0.741739i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.95173 | − | 4.59093i | 0.286747 | − | 0.165553i | −0.349727 | − | 0.936852i | \(-0.613726\pi\) |
0.636474 | + | 0.771298i | \(0.280392\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.43971 | + | 2.49365i | −0.0518499 | + | 0.0898066i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.35736 | − | 4.24777i | −0.264626 | − | 0.152782i | 0.361817 | − | 0.932249i | \(-0.382157\pi\) |
−0.626443 | + | 0.779467i | \(0.715490\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 25.4327i | 0.913569i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.935612 | − | 1.62053i | −0.0335649 | − | 0.0581361i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −16.1124 | −0.577285 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −46.2846 | −1.65619 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.75259 | + | 9.96377i | 0.205581 | + | 0.356076i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.48780i | 0.195868i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.70464 | − | 0.984173i | −0.0607638 | − | 0.0350820i | 0.469310 | − | 0.883033i | \(-0.344503\pi\) |
−0.530074 | + | 0.847951i | \(0.677836\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.89204 | + | 3.27711i | −0.0673585 | + | 0.116668i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.89095 | + | 1.66909i | −0.102790 | + | 0.0593460i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −41.7924 | − | 19.6470i | −1.48409 | − | 0.697686i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.50186 | + | 2.02180i | −0.124198 | + | 0.0717058i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −19.2449 | + | 33.3332i | −0.681690 | + | 1.18072i | 0.292775 | + | 0.956181i | \(0.405421\pi\) |
−0.974465 | + | 0.224540i | \(0.927912\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.3191 | − | 7.68981i | −0.471197 | − | 0.272046i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 24.4993i | 0.865639i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 21.6337 | + | 37.4707i | 0.763437 | + | 1.32231i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.2414 | −0.360961 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.146317 | −0.00515059 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −0.899878 | − | 1.55863i | −0.0316380 | − | 0.0547987i | 0.849773 | − | 0.527149i | \(-0.176739\pi\) |
−0.881411 | + | 0.472350i | \(0.843406\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.9235i | 1.75305i | 0.481357 | + | 0.876525i | \(0.340144\pi\) | ||||
−0.481357 | + | 0.876525i | \(0.659856\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.172644 | − | 0.0996759i | −0.00605488 | − | 0.00349579i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.57485 | + | 6.19183i | −0.125222 | + | 0.216890i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.2882 | − | 9.98135i | 0.604838 | − | 0.349203i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.02759 | − | 8.66568i | −0.210621 | − | 0.302803i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.65310 | − | 2.10912i | 0.127494 | − | 0.0736087i | −0.434897 | − | 0.900480i | \(-0.643215\pi\) |
0.562391 | + | 0.826872i | \(0.309882\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.24912 | + | 12.5558i | −0.252688 | + | 0.437669i | −0.964265 | − | 0.264939i | \(-0.914648\pi\) |
0.711577 | + | 0.702608i | \(0.247981\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.06431 | + | 1.19183i | 0.0718701 | + | 0.0414942i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 26.2618i | 0.913213i | 0.889669 | + | 0.456607i | \(0.150935\pi\) | ||||
−0.889669 | + | 0.456607i | \(0.849065\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −27.5790 | − | 47.7682i | −0.957858 | − | 1.65906i | −0.727688 | − | 0.685909i | \(-0.759405\pi\) |
−0.230170 | − | 0.973150i | \(-0.573928\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.80125 | 0.131864 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.81868 | −0.201605 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.62677 | + | 6.28175i | 0.125510 | + | 0.217389i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 12.8244i | − | 0.443275i | ||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.07974 | + | 3.51014i | 0.209896 | + | 0.121184i | 0.601263 | − | 0.799051i | \(-0.294664\pi\) |
−0.391367 | + | 0.920235i | \(0.627998\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.5397 | + | 19.9874i | −0.397922 | + | 0.689221i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.01053 | + | 3.47018i | −0.207014 | + | 0.119519i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.95241 | − | 17.3770i | −0.101566 | − | 0.597788i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.72119 | − | 1.57108i | 0.0935012 | − | 0.0539829i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.66875 | + | 6.35446i | −0.125911 | + | 0.218085i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 45.5121 | + | 26.2764i | 1.56013 | + | 0.900744i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 57.6508i | 1.97393i | 0.160945 | + | 0.986963i | \(0.448546\pi\) | ||||
−0.160945 | + | 0.986963i | \(0.551454\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.32056 | − | 10.9475i | −0.216159 | − | 0.374398i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.50654 | −0.0856217 | −0.0428109 | − | 0.999083i | \(-0.513631\pi\) | ||||
−0.0428109 | + | 0.999083i | \(0.513631\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.1305 | −0.584486 | −0.292243 | − | 0.956344i | \(-0.594402\pi\) | ||||
−0.292243 | + | 0.956344i | \(0.594402\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.680382 | + | 1.17846i | 0.0231873 | + | 0.0401617i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 55.6429i | − | 1.89411i | −0.321079 | − | 0.947053i | \(-0.604045\pi\) | ||
0.321079 | − | 0.947053i | \(-0.395955\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.4403 | − | 6.60509i | −0.388984 | − | 0.224580i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.26687 | + | 3.92634i | −0.0769870 | + | 0.133345i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 35.8465 | − | 20.6960i | 1.21601 | − | 0.702064i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.2179 | − | 14.6899i | −0.346220 | − | 0.497750i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −30.9409 | + | 17.8637i | −1.04719 | + | 0.604596i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.53300 | − | 9.58344i | 0.187050 | − | 0.323979i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 34.7751 | + | 20.0774i | 1.17427 | + | 0.677967i | 0.954683 | − | 0.297626i | \(-0.0961947\pi\) |
0.219590 | + | 0.975592i | \(0.429528\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.465871i | 0.0157134i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 25.3837 | + | 43.9658i | 0.855197 | + | 1.48124i | 0.876462 | + | 0.481471i | \(0.159897\pi\) |
−0.0212650 | + | 0.999774i | \(0.506769\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 46.3312 | 1.55917 | 0.779585 | − | 0.626297i | \(-0.215430\pi\) | ||||
0.779585 | + | 0.626297i | \(0.215430\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.29575 | 0.0771706 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −5.12752 | − | 8.88113i | −0.172165 | − | 0.298199i | 0.767011 | − | 0.641634i | \(-0.221743\pi\) |
−0.939177 | + | 0.343435i | \(0.888410\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 12.5502i | − | 0.420921i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 20.2809 | + | 11.7092i | 0.679436 | + | 0.392273i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 4.20866 | − | 7.28961i | 0.140837 | − | 0.243938i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.3921 | − | 7.73191i | 0.447647 | − | 0.258449i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.62882 | − | 3.11627i | −0.221330 | − | 0.104049i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 50.2736 | − | 29.0255i | 1.67672 | − | 0.968053i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 32.2607 | − | 55.8772i | 1.07476 | − | 1.86154i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.46007 | − | 0.842971i | −0.0485881 | − | 0.0280523i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 34.5372i | 1.14805i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −26.1472 | − | 45.2883i | −0.868205 | − | 1.50377i | −0.863830 | − | 0.503784i | \(-0.831941\pi\) |
−0.00437495 | − | 0.999990i | \(-0.501393\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −7.09330 | −0.235270 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −50.9172 | −1.68696 | −0.843481 | − | 0.537159i | \(-0.819498\pi\) | ||||
−0.843481 | + | 0.537159i | \(0.819498\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.7259 | + | 23.7740i | 0.454262 | + | 0.786805i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.67059i | 0.154405i | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1.09120 | + | 0.630004i | 0.0360346 | + | 0.0208046i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.4323 | − | 19.8013i | 0.377117 | − | 0.653186i | −0.613524 | − | 0.789676i | \(-0.710249\pi\) |
0.990641 | + | 0.136490i | \(0.0435821\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.99299 | − | 2.88270i | 0.164525 | − | 0.0949884i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −25.3278 | + | 53.8763i | −0.833674 | + | 1.77336i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.0501 | + | 10.9986i | −0.626363 | + | 0.361631i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −21.2123 | + | 36.7408i | −0.696703 | + | 1.20673i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 28.8090 | + | 16.6329i | 0.945193 | + | 0.545708i | 0.891584 | − | 0.452854i | \(-0.149594\pi\) |
0.0536089 | + | 0.998562i | \(0.482928\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 3.18458i | − | 0.104371i | ||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.66749 | − | 6.35228i | −0.120068 | − | 0.207964i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 22.1150 | 0.723239 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −51.2179 | −1.67322 | −0.836608 | − | 0.547802i | \(-0.815465\pi\) | ||||
−0.836608 | + | 0.547802i | \(0.815465\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.979286 | − | 1.69617i | −0.0319578 | − | 0.0553525i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 10.2918i | − | 0.335502i | −0.985829 | − | 0.167751i | \(-0.946350\pi\) | ||
0.985829 | − | 0.167751i | \(-0.0536504\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.0966 | − | 19.1083i | −1.07777 | − | 0.622253i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.08079 | + | 1.87199i | −0.0351581 | + | 0.0608957i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −30.7341 | + | 17.7444i | −0.998725 | + | 0.576614i | −0.907871 | − | 0.419250i | \(-0.862293\pi\) |
−0.0908539 | + | 0.995864i | \(0.528960\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 55.4551 | − | 4.67749i | 1.80015 | − | 0.151838i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.593565 | − | 0.342695i | 0.0192477 | − | 0.0111126i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 16.6676 | − | 28.8691i | 0.539916 | − | 0.935163i | −0.458992 | − | 0.888441i | \(-0.651789\pi\) |
0.998908 | − | 0.0467220i | \(-0.0148775\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.2312 | + | 11.1031i | 0.622306 | + | 0.359289i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 5.44078i | − | 0.175875i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.16151 | + | 7.20794i | 0.134382 | + | 0.232757i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −33.7070 | −1.08732 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 18.9929 | 0.612039 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 6.48263 | + | 11.2282i | 0.208683 | + | 0.361450i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.7131i | 0.955509i | 0.878494 | + | 0.477754i | \(0.158549\pi\) | ||||
−0.878494 | + | 0.477754i | \(0.841451\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.31602 | − | 2.49186i | −0.138651 | − | 0.0800500i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.41851 | + | 7.65308i | −0.141797 | + | 0.245599i | −0.928173 | − | 0.372148i | \(-0.878621\pi\) |
0.786377 | + | 0.617747i | \(0.211955\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.01322 | − | 2.89438i | 0.160716 | − | 0.0927896i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.51695 | − | 1.75071i | 0.0806068 | − | 0.0560677i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −12.8437 | + | 7.41533i | −0.410907 | + | 0.237237i | −0.691180 | − | 0.722683i | \(-0.742909\pi\) |
0.280272 | + | 0.959921i | \(0.409575\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.7288 | − | 20.3149i | 0.374854 | − | 0.649266i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.44516 | + | 4.29846i | 0.237706 | + | 0.137239i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 20.3390i | 0.648714i | 0.945935 | + | 0.324357i | \(0.105148\pi\) | ||||
−0.945935 | + | 0.324357i | \(0.894852\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.04089 | + | 3.53493i | 0.0650282 | + | 0.112632i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.710882 | −0.0226276 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 47.3493 | 1.50562 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.4453 | − | 44.0726i | −0.808297 | − | 1.40001i | −0.914042 | − | 0.405619i | \(-0.867056\pi\) |
0.105745 | − | 0.994393i | \(-0.466277\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.0526244i | 0.00166999i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.42445 | + | 3.13181i | 0.171967 | + | 0.0992849i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.69697 | − | 6.40334i | 0.117084 | − | 0.202796i | −0.801527 | − | 0.597959i | \(-0.795979\pi\) |
0.918611 | + | 0.395163i | \(0.129312\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 9.60595 | − | 5.54600i | 0.303919 | − | 0.175468i |
(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 | 1456.2.cc.f.673.4 | 16 | ||
4.3 | odd | 2 | 364.2.u.a.309.5 | yes | 16 | ||
12.11 | even | 2 | 3276.2.cf.c.1765.4 | 16 | |||
13.4 | even | 6 | inner | 1456.2.cc.f.225.4 | 16 | ||
28.3 | even | 6 | 2548.2.bb.c.569.4 | 16 | |||
28.11 | odd | 6 | 2548.2.bb.d.569.5 | 16 | |||
28.19 | even | 6 | 2548.2.bq.c.361.5 | 16 | |||
28.23 | odd | 6 | 2548.2.bq.e.361.4 | 16 | |||
28.27 | even | 2 | 2548.2.u.c.1765.4 | 16 | |||
52.3 | odd | 6 | 4732.2.g.k.337.8 | 16 | |||
52.11 | even | 12 | 4732.2.a.s.1.4 | 8 | |||
52.15 | even | 12 | 4732.2.a.t.1.4 | 8 | |||
52.23 | odd | 6 | 4732.2.g.k.337.7 | 16 | |||
52.43 | odd | 6 | 364.2.u.a.225.5 | ✓ | 16 | ||
156.95 | even | 6 | 3276.2.cf.c.2773.5 | 16 | |||
364.95 | odd | 6 | 2548.2.bq.e.1941.4 | 16 | |||
364.199 | even | 6 | 2548.2.bq.c.1941.5 | 16 | |||
364.251 | even | 6 | 2548.2.u.c.589.4 | 16 | |||
364.303 | odd | 6 | 2548.2.bb.d.1733.5 | 16 | |||
364.355 | even | 6 | 2548.2.bb.c.1733.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
364.2.u.a.225.5 | ✓ | 16 | 52.43 | odd | 6 | ||
364.2.u.a.309.5 | yes | 16 | 4.3 | odd | 2 | ||
1456.2.cc.f.225.4 | 16 | 13.4 | even | 6 | inner | ||
1456.2.cc.f.673.4 | 16 | 1.1 | even | 1 | trivial | ||
2548.2.u.c.589.4 | 16 | 364.251 | even | 6 | |||
2548.2.u.c.1765.4 | 16 | 28.27 | even | 2 | |||
2548.2.bb.c.569.4 | 16 | 28.3 | even | 6 | |||
2548.2.bb.c.1733.4 | 16 | 364.355 | even | 6 | |||
2548.2.bb.d.569.5 | 16 | 28.11 | odd | 6 | |||
2548.2.bb.d.1733.5 | 16 | 364.303 | odd | 6 | |||
2548.2.bq.c.361.5 | 16 | 28.19 | even | 6 | |||
2548.2.bq.c.1941.5 | 16 | 364.199 | even | 6 | |||
2548.2.bq.e.361.4 | 16 | 28.23 | odd | 6 | |||
2548.2.bq.e.1941.4 | 16 | 364.95 | odd | 6 | |||
3276.2.cf.c.1765.4 | 16 | 12.11 | even | 2 | |||
3276.2.cf.c.2773.5 | 16 | 156.95 | even | 6 | |||
4732.2.a.s.1.4 | 8 | 52.11 | even | 12 | |||
4732.2.a.t.1.4 | 8 | 52.15 | even | 12 | |||
4732.2.g.k.337.7 | 16 | 52.23 | odd | 6 | |||
4732.2.g.k.337.8 | 16 | 52.3 | odd | 6 |