Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(47,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.j (of order \(4\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 47.7 | ||
Root | \(1.41323 - 0.0526497i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 320.47 |
Dual form | 320.2.j.b.143.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.28110i | 0.739642i | 0.929103 | + | 0.369821i | \(0.120581\pi\) | ||||
−0.929103 | + | 0.369821i | \(0.879419\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.841703 | − | 2.07160i | −0.376421 | − | 0.926449i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.13975 | + | 1.13975i | 0.430785 | + | 0.430785i | 0.888895 | − | 0.458111i | \(-0.151474\pi\) |
−0.458111 | + | 0.888895i | \(0.651474\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.35879 | 0.452930 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.32204 | + | 2.32204i | 0.700120 | + | 0.700120i | 0.964436 | − | 0.264316i | \(-0.0851462\pi\) |
−0.264316 | + | 0.964436i | \(0.585146\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.36502 | 0.378589 | 0.189294 | − | 0.981920i | \(-0.439380\pi\) | ||||
0.189294 | + | 0.981920i | \(0.439380\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.65392 | − | 1.07830i | 0.685240 | − | 0.278416i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.25380 | + | 5.25380i | 1.27423 | + | 1.27423i | 0.943845 | + | 0.330389i | \(0.107180\pi\) |
0.330389 | + | 0.943845i | \(0.392820\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.69752 | − | 3.69752i | −0.848269 | − | 0.848269i | 0.141648 | − | 0.989917i | \(-0.454760\pi\) |
−0.989917 | + | 0.141648i | \(0.954760\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.46013 | + | 1.46013i | −0.318626 | + | 0.318626i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.911118 | − | 0.911118i | 0.189981 | − | 0.189981i | −0.605707 | − | 0.795688i | \(-0.707110\pi\) |
0.795688 | + | 0.605707i | \(0.207110\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.58307 | + | 3.48735i | −0.716615 | + | 0.697469i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.58403i | 1.07465i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.37343 | − | 2.37343i | 0.440736 | − | 0.440736i | −0.451524 | − | 0.892259i | \(-0.649119\pi\) |
0.892259 | + | 0.451524i | \(0.149119\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.242577i | 0.0435681i | 0.999763 | + | 0.0217841i | \(0.00693463\pi\) | ||||
−0.999763 | + | 0.0217841i | \(0.993065\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.97475 | + | 2.97475i | −0.517838 | + | 0.517838i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.40178 | − | 3.32044i | 0.236944 | − | 0.561256i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.34494 | −0.549905 | −0.274953 | − | 0.961458i | \(-0.588662\pi\) | ||||
−0.274953 | + | 0.961458i | \(0.588662\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.74872i | 0.280020i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 2.66956i | − | 0.416915i | −0.978031 | − | 0.208457i | \(-0.933156\pi\) | ||
0.978031 | − | 0.208457i | \(-0.0668442\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.04874 | −1.37992 | −0.689960 | − | 0.723847i | \(-0.742372\pi\) | ||||
−0.689960 | + | 0.723847i | \(0.742372\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.14370 | − | 2.81488i | −0.170492 | − | 0.419617i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.87820 | − | 7.87820i | 1.14915 | − | 1.14915i | 0.162435 | − | 0.986719i | \(-0.448065\pi\) |
0.986719 | − | 0.162435i | \(-0.0519348\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 4.40194i | − | 0.628849i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.73063 | + | 6.73063i | −0.942476 | + | 0.942476i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.80113i | 0.796846i | 0.917202 | + | 0.398423i | \(0.130442\pi\) | ||||
−0.917202 | + | 0.398423i | \(0.869558\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.85587 | − | 6.76480i | 0.385086 | − | 0.912165i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.73688 | − | 4.73688i | 0.627415 | − | 0.627415i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.91474 | − | 5.91474i | 0.770033 | − | 0.770033i | −0.208079 | − | 0.978112i | \(-0.566721\pi\) |
0.978112 | + | 0.208079i | \(0.0667210\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.67404 | − | 6.67404i | −0.854523 | − | 0.854523i | 0.136163 | − | 0.990686i | \(-0.456523\pi\) |
−0.990686 | + | 0.136163i | \(0.956523\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.54868 | + | 1.54868i | 0.195116 | + | 0.195116i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.14894 | − | 2.82778i | −0.142509 | − | 0.350743i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.54673 | 0.555471 | 0.277736 | − | 0.960658i | \(-0.410416\pi\) | ||||
0.277736 | + | 0.960658i | \(0.410416\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.16723 | + | 1.16723i | 0.140518 | + | 0.140518i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −15.4389 | −1.83226 | −0.916128 | − | 0.400885i | \(-0.868703\pi\) | ||||
−0.916128 | + | 0.400885i | \(0.868703\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.49307 | + | 1.49307i | 0.174750 | + | 0.174750i | 0.789063 | − | 0.614313i | \(-0.210567\pi\) |
−0.614313 | + | 0.789063i | \(0.710567\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.46763 | − | 4.59026i | −0.515877 | − | 0.530038i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.29308i | 0.603202i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.3024 | −1.15911 | −0.579556 | − | 0.814932i | \(-0.696774\pi\) | ||||
−0.579556 | + | 0.814932i | \(0.696774\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.07731 | −0.341924 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.26589i | 0.358478i | 0.983806 | + | 0.179239i | \(0.0573636\pi\) | ||||
−0.983806 | + | 0.179239i | \(0.942636\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.46165 | − | 15.3059i | 0.700864 | − | 1.66016i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.04060 | + | 3.04060i | 0.325986 | + | 0.325986i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.77206 | −1.03584 | −0.517918 | − | 0.855430i | \(-0.673293\pi\) | ||||
−0.517918 | + | 0.855430i | \(0.673293\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.55578 | + | 1.55578i | 0.163090 | + | 0.163090i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.310765 | −0.0322248 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.54758 | + | 10.7720i | −0.466571 | + | 1.10518i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.63587 | − | 1.63587i | −0.166097 | − | 0.166097i | 0.619164 | − | 0.785262i | \(-0.287472\pi\) |
−0.785262 | + | 0.619164i | \(0.787472\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.15516 | + | 3.15516i | 0.317106 | + | 0.317106i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.63953 | + | 6.63953i | −0.660658 | + | 0.660658i | −0.955535 | − | 0.294877i | \(-0.904721\pi\) |
0.294877 | + | 0.955535i | \(0.404721\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.62219 | + | 1.62219i | −0.159839 | + | 0.159839i | −0.782496 | − | 0.622656i | \(-0.786054\pi\) |
0.622656 | + | 0.782496i | \(0.286054\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.25380 | + | 1.79581i | 0.415129 | + | 0.175253i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 3.65206i | − | 0.353058i | −0.984295 | − | 0.176529i | \(-0.943513\pi\) | ||
0.984295 | − | 0.176529i | \(-0.0564869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.20757 | + | 5.20757i | −0.498795 | + | 0.498795i | −0.911063 | − | 0.412268i | \(-0.864737\pi\) |
0.412268 | + | 0.911063i | \(0.364737\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 4.28519i | − | 0.406733i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.27905 | + | 4.27905i | −0.402539 | + | 0.402539i | −0.879127 | − | 0.476588i | \(-0.841873\pi\) |
0.476588 | + | 0.879127i | \(0.341873\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.65437 | − | 1.12058i | −0.247521 | − | 0.104495i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.85478 | 0.171474 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.9760i | 1.09784i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 0.216302i | − | 0.0196639i | ||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.41996 | 0.308367 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.2403 | + | 4.48739i | 0.915918 | + | 0.401365i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.29257 | + | 7.29257i | −0.647111 | + | 0.647111i | −0.952294 | − | 0.305183i | \(-0.901282\pi\) |
0.305183 | + | 0.952294i | \(0.401282\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 11.5923i | − | 1.02065i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 11.9793 | − | 11.9793i | 1.04664 | − | 1.04664i | 0.0477778 | − | 0.998858i | \(-0.484786\pi\) |
0.998858 | − | 0.0477778i | \(-0.0152139\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 8.42848i | − | 0.730842i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 11.5679 | − | 4.70010i | 0.995606 | − | 0.404520i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.92762 | − | 4.92762i | 0.420995 | − | 0.420995i | −0.464551 | − | 0.885546i | \(-0.653784\pi\) |
0.885546 | + | 0.464551i | \(0.153784\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3015 | − | 10.3015i | 0.873761 | − | 0.873761i | −0.119119 | − | 0.992880i | \(-0.538007\pi\) |
0.992880 | + | 0.119119i | \(0.0380071\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.0927 | + | 10.0927i | 0.849962 | + | 0.849962i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.16963 | + | 3.16963i | 0.265058 | + | 0.265058i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.91454 | − | 2.91909i | −0.574221 | − | 0.242417i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.63931 | 0.465123 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 15.2040 | + | 15.2040i | 1.24556 | + | 1.24556i | 0.957662 | + | 0.287896i | \(0.0929557\pi\) |
0.287896 | + | 0.957662i | \(0.407044\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.7055 | 0.871204 | 0.435602 | − | 0.900139i | \(-0.356536\pi\) | ||||
0.435602 | + | 0.900139i | \(0.356536\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.13882 | + | 7.13882i | 0.577139 | + | 0.577139i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.502523 | − | 0.204178i | 0.0403636 | − | 0.0164000i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.34588i | 0.187222i | 0.995609 | + | 0.0936108i | \(0.0298409\pi\) | ||||
−0.995609 | + | 0.0936108i | \(0.970159\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.43180 | −0.589380 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.07689 | 0.163682 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 2.73625i | − | 0.214319i | −0.994242 | − | 0.107160i | \(-0.965824\pi\) | ||
0.994242 | − | 0.107160i | \(-0.0341756\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.66636 | + | 3.65865i | 0.674675 | + | 0.284825i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.1328 | − | 10.1328i | −0.784097 | − | 0.784097i | 0.196423 | − | 0.980519i | \(-0.437068\pi\) |
−0.980519 | + | 0.196423i | \(0.937068\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.1367 | −0.856670 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.02415 | − | 5.02415i | −0.384207 | − | 0.384207i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.79590 | −0.668740 | −0.334370 | − | 0.942442i | \(-0.608523\pi\) | ||||
−0.334370 | + | 0.942442i | \(0.608523\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.05851 | − | 0.109105i | −0.609166 | − | 0.00824753i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.57735 | + | 7.57735i | 0.569549 | + | 0.569549i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.62071 | + | 6.62071i | 0.494855 | + | 0.494855i | 0.909832 | − | 0.414977i | \(-0.136210\pi\) |
−0.414977 | + | 0.909832i | \(0.636210\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.84339 | + | 5.84339i | −0.434336 | + | 0.434336i | −0.890100 | − | 0.455765i | \(-0.849366\pi\) |
0.455765 | + | 0.890100i | \(0.349366\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.55009 | − | 8.55009i | 0.632041 | − | 0.632041i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.81545 | + | 6.92939i | 0.206996 | + | 0.509459i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 24.3990i | 1.78423i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.36440 | + | 6.36440i | −0.462942 | + | 0.462942i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.83906i | 0.133070i | 0.997784 | + | 0.0665349i | \(0.0211944\pi\) | ||||
−0.997784 | + | 0.0665349i | \(0.978806\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.18343 | − | 6.18343i | 0.445093 | − | 0.445093i | −0.448626 | − | 0.893719i | \(-0.648087\pi\) |
0.893719 | + | 0.448626i | \(0.148087\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.62266 | − | 1.47191i | 0.259424 | − | 0.105405i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.55669 | 0.395898 | 0.197949 | − | 0.980212i | \(-0.436572\pi\) | ||||
0.197949 | + | 0.980212i | \(0.436572\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 6.96413i | − | 0.493674i | −0.969057 | − | 0.246837i | \(-0.920609\pi\) | ||
0.969057 | − | 0.246837i | \(-0.0793912\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.82480i | 0.410850i | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.41024 | 0.379724 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.53026 | + | 2.24697i | −0.386250 | + | 0.156935i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.23802 | − | 1.23802i | 0.0860483 | − | 0.0860483i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 17.1715i | − | 1.18778i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.43389 | + | 5.43389i | −0.374084 | + | 0.374084i | −0.868962 | − | 0.494878i | \(-0.835213\pi\) |
0.494878 | + | 0.868962i | \(0.335213\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 19.7787i | − | 1.35521i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.61635 | + | 18.7454i | 0.519431 | + | 1.27843i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.276477 | + | 0.276477i | −0.0187685 | + | 0.0187685i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.91276 | + | 1.91276i | −0.129253 | + | 0.129253i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.17155 | + | 7.17155i | 0.482411 | + | 0.482411i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.61776 | + | 8.61776i | 0.577088 | + | 0.577088i | 0.934100 | − | 0.357012i | \(-0.116204\pi\) |
−0.357012 | + | 0.934100i | \(0.616204\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.86865 | + | 4.73858i | −0.324577 | + | 0.315905i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.01977 | −0.399546 | −0.199773 | − | 0.979842i | \(-0.564020\pi\) | ||||
−0.199773 | + | 0.979842i | \(0.564020\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.568504 | + | 0.568504i | 0.0375678 | + | 0.0375678i | 0.725641 | − | 0.688073i | \(-0.241543\pi\) |
−0.688073 | + | 0.725641i | \(0.741543\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.78094 | −0.446153 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.6979 | − | 12.6979i | −0.831869 | − | 0.831869i | 0.155904 | − | 0.987772i | \(-0.450171\pi\) |
−0.987772 | + | 0.155904i | \(0.950171\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −22.9516 | − | 9.68940i | −1.49720 | − | 0.632067i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 13.1984i | − | 0.857327i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.78306 | 0.115336 | 0.0576682 | − | 0.998336i | \(-0.481633\pi\) | ||||
0.0576682 | + | 0.998336i | \(0.481633\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.4440 | 0.672754 | 0.336377 | − | 0.941727i | \(-0.390798\pi\) | ||||
0.336377 | + | 0.941727i | \(0.390798\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 12.8098i | 0.821747i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −9.11908 | + | 3.70513i | −0.582596 | + | 0.236712i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.04719 | − | 5.04719i | −0.321145 | − | 0.321145i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.18392 | −0.265145 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.6497 | + | 12.6497i | 0.798445 | + | 0.798445i | 0.982850 | − | 0.184406i | \(-0.0590360\pi\) |
−0.184406 | + | 0.982850i | \(0.559036\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.23130 | 0.266019 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 19.6084 | + | 8.27800i | 1.22792 | + | 0.518388i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.13062 | − | 4.13062i | −0.257661 | − | 0.257661i | 0.566441 | − | 0.824102i | \(-0.308320\pi\) |
−0.824102 | + | 0.566441i | \(0.808320\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.81240 | − | 3.81240i | −0.236891 | − | 0.236891i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.22500 | − | 3.22500i | 0.199623 | − | 0.199623i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −17.1303 | + | 17.1303i | −1.05630 | + | 1.05630i | −0.0579798 | + | 0.998318i | \(0.518466\pi\) |
−0.998318 | + | 0.0579798i | \(0.981534\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.0176 | − | 4.88282i | 0.738237 | − | 0.299949i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 12.5190i | − | 0.766147i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 19.8075 | − | 19.8075i | 1.20768 | − | 1.20768i | 0.235910 | − | 0.971775i | \(-0.424193\pi\) |
0.971775 | − | 0.235910i | \(-0.0758070\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 27.9542i | − | 1.69810i | −0.528316 | − | 0.849048i | \(-0.677176\pi\) | ||
0.528316 | − | 0.849048i | \(-0.322824\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.99311 | + | 1.99311i | −0.120628 | + | 0.120628i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −16.4178 | − | 0.222281i | −0.990029 | − | 0.0134041i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −26.0257 | −1.56373 | −0.781866 | − | 0.623447i | \(-0.785732\pi\) | ||||
−0.781866 | + | 0.623447i | \(0.785732\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.329612i | 0.0197333i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 24.1001i | − | 1.43769i | −0.695170 | − | 0.718846i | \(-0.744671\pi\) | ||
0.695170 | − | 0.718846i | \(-0.255329\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.73708 | −0.281590 | −0.140795 | − | 0.990039i | \(-0.544966\pi\) | ||||
−0.140795 | + | 0.990039i | \(0.544966\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −13.8000 | − | 5.82588i | −0.817439 | − | 0.345096i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.04262 | − | 3.04262i | 0.179600 | − | 0.179600i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 38.2049i | 2.24734i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.09571 | − | 2.09571i | 0.122852 | − | 0.122852i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.11001i | 0.181689i | 0.995865 | + | 0.0908445i | \(0.0289566\pi\) | ||||
−0.995865 | + | 0.0908445i | \(0.971043\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.2314 | − | 7.27454i | −1.00325 | − | 0.423540i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.9663 | + | 12.9663i | −0.752382 | + | 0.752382i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.24370 | − | 1.24370i | 0.0719248 | − | 0.0719248i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.3133 | − | 10.3133i | −0.594449 | − | 0.594449i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.50588 | − | 8.50588i | −0.488650 | − | 0.488650i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.20840 | + | 19.4435i | −0.470012 | + | 1.11333i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.5670 | −0.831382 | −0.415691 | − | 0.909506i | \(-0.636460\pi\) | ||||
−0.415691 | + | 0.909506i | \(0.636460\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.07819 | − | 2.07819i | −0.118224 | − | 0.118224i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.4572 | 0.819791 | 0.409896 | − | 0.912132i | \(-0.365565\pi\) | ||||
0.409896 | + | 0.912132i | \(0.365565\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.1273 | + | 10.1273i | 0.572429 | + | 0.572429i | 0.932807 | − | 0.360377i | \(-0.117352\pi\) |
−0.360377 | + | 0.932807i | \(0.617352\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.90472 | − | 4.51178i | 0.107319 | − | 0.254210i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 13.8750i | − | 0.779295i | −0.920964 | − | 0.389648i | \(-0.872597\pi\) | ||
0.920964 | − | 0.389648i | \(-0.127403\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.0224 | 0.617136 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.67864 | 0.261136 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 38.8520i | − | 2.16179i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.89097 | + | 4.76030i | −0.271302 | + | 0.264054i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −6.67140 | − | 6.67140i | −0.368930 | − | 0.368930i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 17.9584 | 0.990076 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.69458 | − | 1.69458i | −0.0931425 | − | 0.0931425i | 0.659000 | − | 0.752143i | \(-0.270980\pi\) |
−0.752143 | + | 0.659000i | \(0.770980\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.54508 | −0.249069 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.82699 | − | 9.41902i | −0.209091 | − | 0.514616i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.53338 | − | 9.53338i | −0.519316 | − | 0.519316i | 0.398048 | − | 0.917364i | \(-0.369688\pi\) |
−0.917364 | + | 0.398048i | \(0.869688\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.48188 | − | 5.48188i | −0.297735 | − | 0.297735i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.563273 | + | 0.563273i | −0.0305029 | + | 0.0305029i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.9954 | − | 12.9954i | 0.701683 | − | 0.701683i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.43558 | − | 3.40050i | 0.0772888 | − | 0.183077i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.67273i | 0.358211i | 0.983830 | + | 0.179105i | \(0.0573203\pi\) | ||||
−0.983830 | + | 0.179105i | \(0.942680\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.02618 | + | 2.02618i | −0.108459 | + | 0.108459i | −0.759254 | − | 0.650795i | \(-0.774436\pi\) |
0.650795 | + | 0.759254i | \(0.274436\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.62233i | 0.406850i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.36542 | + | 5.36542i | −0.285572 | + | 0.285572i | −0.835327 | − | 0.549754i | \(-0.814721\pi\) |
0.549754 | + | 0.835327i | \(0.314721\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.9949 | + | 31.9832i | 0.689700 | + | 1.69749i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −15.3425 | −0.812009 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.76117i | 0.409619i | 0.978802 | + | 0.204809i | \(0.0656574\pi\) | ||||
−0.978802 | + | 0.204809i | \(0.934343\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.34326i | 0.439119i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.277104 | 0.0145442 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.83632 | − | 4.34976i | 0.0961175 | − | 0.227677i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.0536 | − | 18.0536i | 0.942389 | − | 0.942389i | −0.0560392 | − | 0.998429i | \(-0.517847\pi\) |
0.998429 | + | 0.0560392i | \(0.0178472\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 3.62737i | − | 0.188833i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.61183 | + | 6.61183i | −0.343269 | + | 0.343269i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.36197i | 0.225854i | 0.993603 | + | 0.112927i | \(0.0360226\pi\) | ||||
−0.993603 | + | 0.112927i | \(0.963977\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.74879 | + | 13.1188i | −0.296866 | + | 0.677451i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.23979 | − | 3.23979i | 0.166858 | − | 0.166858i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.93072 | + | 5.93072i | −0.304641 | + | 0.304641i | −0.842826 | − | 0.538186i | \(-0.819110\pi\) |
0.538186 | + | 0.842826i | \(0.319110\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.34249 | − | 9.34249i | −0.478630 | − | 0.478630i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.3340 | − | 19.3340i | −0.987922 | − | 0.987922i | 0.0120057 | − | 0.999928i | \(-0.496178\pi\) |
−0.999928 | + | 0.0120057i | \(0.996178\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.9652 | − | 4.45520i | 0.558836 | − | 0.227058i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −12.2954 | −0.625008 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6.28607 | − | 6.28607i | −0.318716 | − | 0.318716i | 0.529558 | − | 0.848274i | \(-0.322358\pi\) |
−0.848274 | + | 0.529558i | \(0.822358\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.57367 | 0.484161 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15.3466 | + | 15.3466i | 0.774135 | + | 0.774135i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.67157 | + | 21.3425i | 0.436314 | + | 1.07386i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.58413i | 0.330448i | 0.986256 | + | 0.165224i | \(0.0528347\pi\) | ||||
−0.986256 | + | 0.165224i | \(0.947165\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.7977 | 0.540561 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 19.7951 | 0.988522 | 0.494261 | − | 0.869313i | \(-0.335439\pi\) | ||||
0.494261 | + | 0.869313i | \(0.335439\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.331123i | 0.0164944i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.59018 | + | 6.37497i | 0.128707 | + | 0.316775i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.76707 | − | 7.76707i | −0.385000 | − | 0.385000i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.76937 | −0.285277 | −0.142638 | − | 0.989775i | \(-0.545559\pi\) | ||||
−0.142638 | + | 0.989775i | \(0.545559\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.31276 | + | 6.31276i | 0.311385 | + | 0.311385i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 13.4826 | 0.663437 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.76563 | − | 2.74891i | 0.332112 | − | 0.134939i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 13.1972 | + | 13.1972i | 0.646270 | + | 0.646270i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 8.68932 | + | 8.68932i | 0.424501 | + | 0.424501i | 0.886750 | − | 0.462249i | \(-0.152957\pi\) |
−0.462249 | + | 0.886750i | \(0.652957\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.1193 | − | 20.1193i | 0.980555 | − | 0.980555i | −0.0192594 | − | 0.999815i | \(-0.506131\pi\) |
0.999815 | + | 0.0192594i | \(0.00613083\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 10.7048 | − | 10.7048i | 0.520487 | − | 0.520487i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −37.1466 | − | 0.502930i | −1.80187 | − | 0.0243957i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 15.2135i | − | 0.736231i | ||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.06060 | + | 4.06060i | −0.196048 | + | 0.196048i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 33.6247i | 1.61965i | 0.586675 | + | 0.809823i | \(0.300437\pi\) | ||||
−0.586675 | + | 0.809823i | \(0.699563\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.46558 | − | 7.46558i | 0.358773 | − | 0.358773i | −0.504588 | − | 0.863361i | \(-0.668355\pi\) |
0.863361 | + | 0.504588i | \(0.168355\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.73963 | − | 8.85819i | 0.179302 | − | 0.424718i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.73775 | −0.322310 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.91929i | 0.377967i | 0.981980 | + | 0.188984i | \(0.0605193\pi\) | ||||
−0.981980 | + | 0.188984i | \(0.939481\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 5.98132i | − | 0.284825i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.6463 | −0.505823 | −0.252911 | − | 0.967489i | \(-0.581388\pi\) | ||||
−0.252911 | + | 0.967489i | \(0.581388\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.22517 | + | 20.2438i | 0.389910 | + | 0.959649i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −19.4778 | + | 19.4778i | −0.921266 | + | 0.921266i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 6.08115i | − | 0.286987i | −0.989651 | − | 0.143494i | \(-0.954166\pi\) | ||
0.989651 | − | 0.143494i | \(-0.0458336\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.19880 | − | 6.19880i | 0.291890 | − | 0.291890i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.7148i | 0.644379i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.91346 | − | 4.53247i | 0.0897042 | − | 0.212485i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.313815 | + | 0.313815i | −0.0146796 | + | 0.0146796i | −0.714409 | − | 0.699729i | \(-0.753304\pi\) |
0.699729 | + | 0.714409i | \(0.253304\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −29.3374 | + | 29.3374i | −1.36935 | + | 1.36935i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.90949 | + | 9.90949i | 0.461531 | + | 0.461531i | 0.899157 | − | 0.437626i | \(-0.144181\pi\) |
−0.437626 | + | 0.899157i | \(0.644181\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.3430 | + | 17.3430i | 0.805999 | + | 0.805999i | 0.984026 | − | 0.178027i | \(-0.0569714\pi\) |
−0.178027 | + | 0.984026i | \(0.556971\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.261571 | + | 0.643781i | 0.0121301 | + | 0.0298546i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.52267 | −0.0704606 | −0.0352303 | − | 0.999379i | \(-0.511216\pi\) | ||||
−0.0352303 | + | 0.999379i | \(0.511216\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.18213 | + | 5.18213i | 0.239289 | + | 0.239289i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.00530 | −0.138477 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.0115 | − | 21.0115i | −0.966110 | − | 0.966110i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 26.1430 | + | 0.353952i | 1.19952 | + | 0.0162404i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.88252i | 0.360916i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.507657 | 0.0231955 | 0.0115977 | − | 0.999933i | \(-0.496308\pi\) | ||||
0.0115977 | + | 0.999933i | \(0.496308\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.56592 | −0.208188 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.66070i | 0.121066i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.01195 | + | 4.76578i | −0.0913581 | + | 0.216403i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 25.9809 | + | 25.9809i | 1.17730 | + | 1.17730i | 0.980428 | + | 0.196876i | \(0.0630798\pi\) |
0.196876 | + | 0.980428i | \(0.436920\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.50539 | 0.158519 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.28208 | + | 3.28208i | 0.148118 | + | 0.148118i | 0.777277 | − | 0.629159i | \(-0.216600\pi\) |
−0.629159 | + | 0.777277i | \(0.716600\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.9391 | 1.12320 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.88053 | − | 9.19195i | 0.174417 | − | 0.413147i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −17.5964 | − | 17.5964i | −0.789308 | − | 0.789308i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.73907 | − | 6.73907i | −0.301682 | − | 0.301682i | 0.539990 | − | 0.841672i | \(-0.318428\pi\) |
−0.841672 | + | 0.539990i | \(0.818428\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.9810 | − | 12.9810i | 0.579950 | − | 0.579950i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.12090 | − | 6.12090i | 0.272918 | − | 0.272918i | −0.557356 | − | 0.830274i | \(-0.688184\pi\) |
0.830274 | + | 0.557356i | \(0.188184\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.3430 | + | 8.16596i | 0.860752 | + | 0.363380i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 14.2672i | − | 0.633629i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.8727 | + | 13.8727i | −0.614894 | + | 0.614894i | −0.944217 | − | 0.329323i | \(-0.893180\pi\) |
0.329323 | + | 0.944217i | \(0.393180\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.40344i | 0.150559i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 20.6471 | − | 20.6471i | 0.911590 | − | 0.911590i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.72594 | + | 1.99514i | 0.208250 | + | 0.0879162i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 36.5869 | 1.60909 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 11.2684i | − | 0.494628i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.87686i | 0.257470i | 0.991679 | + | 0.128735i | \(0.0410917\pi\) | ||||
−0.991679 | + | 0.128735i | \(0.958908\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.0176 | 1.13767 | 0.568834 | − | 0.822452i | \(-0.307395\pi\) | ||||
0.568834 | + | 0.822452i | \(0.307395\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.139774 | − | 10.3237i | 0.00610022 | − | 0.450564i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.27445 | + | 1.27445i | −0.0555160 | + | 0.0555160i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.3397i | 0.927814i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 8.03690 | − | 8.03690i | 0.348772 | − | 0.348772i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 3.64400i | − | 0.157839i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.56561 | + | 3.07394i | −0.327090 | + | 0.132898i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −8.48177 | + | 8.48177i | −0.366016 | + | 0.366016i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 10.2215 | − | 10.2215i | 0.440270 | − | 0.440270i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.57691 | − | 6.57691i | −0.282764 | − | 0.282764i | 0.551447 | − | 0.834210i | \(-0.314076\pi\) |
−0.834210 | + | 0.551447i | \(0.814076\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.48594 | − | 7.48594i | −0.321253 | − | 0.321253i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 15.1712 | + | 6.40479i | 0.649865 | + | 0.274351i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.6170 | 0.453951 | 0.226976 | − | 0.973900i | \(-0.427116\pi\) | ||||
0.226976 | + | 0.973900i | \(0.427116\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.06863 | − | 9.06863i | −0.387040 | − | 0.387040i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −17.5516 | −0.747724 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.7422 | − | 11.7422i | −0.499328 | − | 0.499328i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.87722 | + | 3.60686i | −0.376817 | + | 0.153103i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 20.9610i | 0.888146i | 0.895991 | + | 0.444073i | \(0.146467\pi\) | ||||
−0.895991 | + | 0.444073i | \(0.853533\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.3517 | −0.522422 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −31.2575 | −1.31969 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 16.5598i | 0.697911i | 0.937139 | + | 0.348955i | \(0.113464\pi\) | ||||
−0.937139 | + | 0.348955i | \(0.886536\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.4662 | + | 5.26280i | 0.524456 | + | 0.221408i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.50736 | − | 3.50736i | −0.147295 | − | 0.147295i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 39.6751 | 1.66327 | 0.831634 | − | 0.555325i | \(-0.187406\pi\) | ||||
0.831634 | + | 0.555325i | \(0.187406\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.0292 | − | 24.0292i | −1.00559 | − | 1.00559i | −0.999984 | − | 0.00560819i | \(-0.998215\pi\) |
−0.00560819 | − | 0.999984i | \(-0.501785\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.35602 | −0.0984240 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.0872185 | + | 6.44199i | −0.00363726 | + | 0.268649i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −28.7705 | − | 28.7705i | −1.19773 | − | 1.19773i | −0.974844 | − | 0.222888i | \(-0.928451\pi\) |
−0.222888 | − | 0.974844i | \(-0.571549\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.92157 | + | 7.92157i | 0.329209 | + | 0.329209i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.72230 | + | 3.72230i | −0.154427 | + | 0.154427i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.4704 | + | 13.4704i | −0.557888 | + | 0.557888i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.56117 | − | 3.84237i | −0.0645466 | − | 0.158862i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 33.4854i | − | 1.38209i | −0.722811 | − | 0.691046i | \(-0.757150\pi\) | ||
0.722811 | − | 0.691046i | \(-0.242850\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.896933 | − | 0.896933i | 0.0369575 | − | 0.0369575i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.11866i | 0.292822i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 11.5298 | − | 11.5298i | 0.473472 | − | 0.473472i | −0.429564 | − | 0.903036i | \(-0.641333\pi\) |
0.903036 | + | 0.429564i | \(0.141333\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 24.8096 | − | 10.0803i | 1.01709 | − | 0.413250i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.92172 | 0.365142 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 20.0148i | − | 0.817781i | −0.912583 | − | 0.408891i | \(-0.865916\pi\) | ||
0.912583 | − | 0.408891i | \(-0.134084\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27.5924i | 1.12552i | 0.826621 | + | 0.562759i | \(0.190260\pi\) | ||||
−0.826621 | + | 0.562759i | \(0.809740\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.17806 | 0.251590 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.448093 | + | 0.182062i | −0.0182176 | + | 0.00740188i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −30.4850 | + | 30.4850i | −1.23735 | + | 1.23735i | −0.276265 | + | 0.961081i | \(0.589097\pi\) |
−0.961081 | + | 0.276265i | \(0.910903\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.93104i | 0.280860i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.7539 | − | 10.7539i | 0.435057 | − | 0.435057i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.2657i | 0.818523i | 0.912417 | + | 0.409261i | \(0.134214\pi\) | ||||
−0.912417 | + | 0.409261i | \(0.865786\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.87859 | − | 7.08480i | −0.116076 | − | 0.285687i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.61302 | + | 1.61302i | −0.0649378 | + | 0.0649378i | −0.738830 | − | 0.673892i | \(-0.764621\pi\) |
0.673892 | + | 0.738830i | \(0.264621\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.46756 | + | 2.46756i | −0.0991797 | + | 0.0991797i | −0.754956 | − | 0.655776i | \(-0.772342\pi\) |
0.655776 | + | 0.754956i | \(0.272342\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.08771 | + | 5.08771i | 0.204163 | + | 0.204163i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −11.1377 | − | 11.1377i | −0.446222 | − | 0.446222i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.676829 | − | 24.9908i | 0.0270732 | − | 0.999633i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 21.9984 | 0.878531 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.5737 | − | 17.5737i | −0.700708 | − | 0.700708i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.9602 | 1.19270 | 0.596348 | − | 0.802726i | \(-0.296618\pi\) | ||||
0.596348 | + | 0.802726i | \(0.296618\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.96133 | − | 6.96133i | −0.276688 | − | 0.276688i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 21.2455 | + | 8.96913i | 0.843101 | + | 0.355929i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 6.00875i | − | 0.238075i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −20.9782 | −0.829885 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −37.3386 | −1.47478 | −0.737392 | − | 0.675465i | \(-0.763943\pi\) | ||||
−0.737392 | + | 0.675465i | \(0.763943\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.5635i | 0.968691i | 0.874877 | + | 0.484345i | \(0.160942\pi\) | ||||
−0.874877 | + | 0.484345i | \(0.839058\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −24.0147 | + | 9.75728i | −0.945577 | + | 0.384193i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.1347 | + | 23.1347i | 0.909519 | + | 0.909519i | 0.996233 | − | 0.0867142i | \(-0.0276367\pi\) |
−0.0867142 | + | 0.996233i | \(0.527637\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.4685 | 1.07823 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.354194 | − | 0.354194i | −0.0138820 | − | 0.0138820i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −50.8060 | −1.98819 | −0.994097 | − | 0.108496i | \(-0.965397\pi\) | ||||
−0.994097 | + | 0.108496i | \(0.965397\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −34.8993 | − | 14.7333i | −1.36363 | − | 0.575679i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.02877 | + | 2.02877i | 0.0791497 | + | 0.0791497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.97780 | − | 9.97780i | −0.388680 | − | 0.388680i | 0.485537 | − | 0.874216i | \(-0.338624\pi\) |
−0.874216 | + | 0.485537i | \(0.838624\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.09643 | + | 5.09643i | −0.198228 | + | 0.198228i | −0.799240 | − | 0.601012i | \(-0.794764\pi\) |
0.601012 | + | 0.799240i | \(0.294764\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.18745 | + | 9.18745i | −0.356811 | + | 0.356811i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −17.4605 | + | 7.09428i | −0.677088 | + | 0.275104i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 4.32496i | − | 0.167463i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −11.0402 | + | 11.0402i | −0.426838 | + | 0.426838i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 30.9947i | − | 1.19654i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −31.6322 | + | 31.6322i | −1.21933 | + | 1.21933i | −0.251464 | + | 0.967867i | \(0.580912\pi\) |
−0.967867 | + | 0.251464i | \(0.919088\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −19.4735 | − | 20.0080i | −0.749534 | − | 0.770108i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 25.6600 | 0.986196 | 0.493098 | − | 0.869974i | \(-0.335864\pi\) | ||||
0.493098 | + | 0.869974i | \(0.335864\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 3.72896i | − | 0.143104i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 7.71190i | − | 0.295521i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.3536 | −0.472698 | −0.236349 | − | 0.971668i | \(-0.575951\pi\) | ||||
−0.236349 | + | 0.971668i | \(0.575951\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.3557 | − | 6.06048i | −0.548501 | − | 0.231559i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.728309 | + | 0.728309i | −0.0277867 | + | 0.0277867i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.91866i | 0.301677i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.5426 | + | 22.5426i | −0.857561 | + | 0.857561i | −0.991050 | − | 0.133489i | \(-0.957382\pi\) |
0.133489 | + | 0.991050i | \(0.457382\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 7.19219i | 0.273209i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −30.0114 | − | 12.6698i | −1.13840 | − | 0.480593i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.0253 | − | 14.0253i | 0.531247 | − | 0.531247i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.2673 | − | 16.2673i | 0.615285 | − | 0.615285i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 26.9530 | + | 26.9530i | 1.01800 | + | 1.01800i | 0.999835 | + | 0.0181663i | \(0.00578284\pi\) |
0.0181663 | + | 0.999835i | \(0.494217\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.3680 | + | 12.3680i | 0.466467 | + | 0.466467i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.4131 | − | 29.4032i | 0.467503 | − | 1.10739i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −15.1348 | −0.569203 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.78615 | − | 7.78615i | −0.292415 | − | 0.292415i | 0.545619 | − | 0.838034i | \(-0.316295\pi\) |
−0.838034 | + | 0.545619i | \(0.816295\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.9988 | −0.524997 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.221016 | + | 0.221016i | 0.00827713 | + | 0.00827713i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.89833 | − | 9.23410i | 0.145789 | − | 0.345336i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.28427i | 0.0853076i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.6777 | 0.771150 | 0.385575 | − | 0.922677i | \(-0.374003\pi\) | ||||
0.385575 | + | 0.922677i | \(0.374003\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.69779 | −0.137713 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 13.3797i | 0.497597i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.227201 | + | 16.7812i | −0.00843805 | + | 0.623237i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.4994 | − | 20.4994i | −0.760280 | − | 0.760280i | 0.216093 | − | 0.976373i | \(-0.430669\pi\) |
−0.976373 | + | 0.216093i | \(0.930669\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −25.6425 | −0.949722 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −47.5403 | − | 47.5403i | −1.75834 | − | 1.75834i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.7306 | 0.396344 | 0.198172 | − | 0.980167i | \(-0.436500\pi\) | ||||
0.198172 | + | 0.980167i | \(0.436500\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.74663 | − | 11.6824i | −0.175082 | − | 0.430912i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.5577 | + | 10.5577i | 0.388897 | + | 0.388897i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.93837 | + | 2.93837i | 0.108090 | + | 0.108090i | 0.759083 | − | 0.650994i | \(-0.225648\pi\) |
−0.650994 | + | 0.759083i | \(0.725648\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.46594 | − | 6.46594i | 0.237532 | − | 0.237532i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.223404 | − | 0.223404i | 0.00819590 | − | 0.00819590i | −0.702997 | − | 0.711193i | \(-0.748155\pi\) |
0.711193 | + | 0.702997i | \(0.248155\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.6994 | − | 44.2938i | 0.685091 | − | 1.62280i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.43766i | 0.162366i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.16243 | − | 4.16243i | 0.152092 | − | 0.152092i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 39.9939i | 1.45940i | 0.683769 | + | 0.729699i | \(0.260340\pi\) | ||||
−0.683769 | + | 0.729699i | \(0.739660\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −16.2055 | + | 16.2055i | −0.590563 | + | 0.590563i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −9.01088 | − | 22.1776i | −0.327939 | − | 0.807126i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32.9120 | 1.19621 | 0.598103 | − | 0.801419i | \(-0.295921\pi\) | ||||
0.598103 | + | 0.801419i | \(0.295921\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 5.42070i | 0.196759i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 33.9591i | 1.23102i | 0.788130 | + | 0.615509i | \(0.211049\pi\) | ||||
−0.788130 | + | 0.615509i | \(0.788951\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.8707 | −0.429747 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 8.78003 | − | 20.7976i | 0.317443 | − | 0.751937i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.07375 | − | 8.07375i | 0.291526 | − | 0.291526i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 40.2535i | − | 1.45158i | −0.687917 | − | 0.725789i | \(-0.741475\pi\) | ||
0.687917 | − | 0.725789i | \(-0.258525\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.29172 | − | 5.29172i | 0.190577 | − | 0.190577i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − | 9.47175i | − | 0.340675i | −0.985386 | − | 0.170338i | \(-0.945514\pi\) | ||
0.985386 | − | 0.170338i | \(-0.0544858\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.845950 | − | 0.869172i | −0.0303874 | − | 0.0312216i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.88405 | − | 4.88405i | 0.175214 | − | 0.175214i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −9.87073 | + | 9.87073i | −0.353656 | + | 0.353656i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −35.8496 | − | 35.8496i | −1.28280 | − | 1.28280i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 13.2533 | + | 13.2533i | 0.473636 | + | 0.473636i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.85973 | − | 1.97453i | 0.173451 | − | 0.0704741i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 48.1367 | 1.71589 | 0.857945 | − | 0.513742i | \(-0.171741\pi\) | ||||
0.857945 | + | 0.513742i | \(0.171741\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −21.9455 | − | 21.9455i | −0.781282 | − | 0.781282i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9.75409 | −0.346815 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.11021 | − | 9.11021i | −0.323513 | − | 0.323513i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.25537 | + | 15.3957i | 0.221855 | + | 0.546031i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 33.8962i | − | 1.20066i | −0.799751 | − | 0.600332i | \(-0.795035\pi\) | ||
0.799751 | − | 0.600332i | \(-0.204965\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 82.7810 | 2.92858 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.2782 | −0.469162 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.93391i | 0.244692i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.74813 | − | 4.30250i | −0.0616133 | − | 0.151643i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 25.3753 | + | 25.3753i | 0.893254 | + | 0.893254i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −27.5625 | −0.969047 | −0.484523 | − | 0.874778i | \(-0.661007\pi\) | ||||
−0.484523 | + | 0.874778i | \(0.661007\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.1817 | + | 24.1817i | 0.849133 | + | 0.849133i | 0.990025 | − | 0.140892i | \(-0.0449970\pi\) |
−0.140892 | + | 0.990025i | \(0.544997\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 35.8120 | 1.25598 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.66841 | + | 2.30310i | −0.198556 | + | 0.0806742i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 33.4579 | + | 33.4579i | 1.17054 | + | 1.17054i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.11398 | + | 2.11398i | 0.0738686 | + | 0.0738686i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.0575735 | − | 0.0575735i | 0.00200933 | − | 0.00200933i | −0.706101 | − | 0.708111i | \(-0.749548\pi\) |
0.708111 | + | 0.706101i | \(0.249548\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −28.5594 | + | 28.5594i | −0.995518 | + | 0.995518i | −0.999990 | − | 0.00447159i | \(-0.998577\pi\) |
0.00447159 | + | 0.999990i | \(0.498577\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.284764 | − | 21.0327i | 0.00991420 | − | 0.732266i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.0863i | 0.802788i | 0.915905 | + | 0.401394i | \(0.131474\pi\) | ||||
−0.915905 | + | 0.401394i | \(0.868526\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.3543 | − | 33.3543i | 1.15844 | − | 1.15844i | 0.173631 | − | 0.984811i | \(-0.444450\pi\) |
0.984811 | − | 0.173631i | \(-0.0555499\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 33.3414i | − | 1.15660i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 23.1269 | − | 23.1269i | 0.801301 | − | 0.801301i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.4623 | + | 29.5198i | −0.431275 | + | 1.02158i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.35456 | −0.0468204 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 49.4524i | − | 1.70729i | −0.520859 | − | 0.853643i | \(-0.674388\pi\) | ||
0.520859 | − | 0.853643i | \(-0.325612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.7336i | 0.611504i | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 30.8746 | 1.06338 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.37380 | + | 23.0708i | 0.322469 | + | 0.793661i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.246530 | − | 0.246530i | 0.00847089 | − | 0.00847089i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 6.06865i | − | 0.208276i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −3.04764 | + | 3.04764i | −0.104472 | + | 0.104472i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.3639i | 1.07388i | 0.843621 | + | 0.536939i | \(0.180419\pi\) | ||||
−0.843621 | + | 0.536939i | \(0.819581\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.17921 | + | 14.6369i | −0.211324 | + | 0.500571i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −16.1594 | + | 16.1594i | −0.551996 | + | 0.551996i | −0.927016 | − | 0.375021i | \(-0.877636\pi\) |
0.375021 | + | 0.927016i | \(0.377636\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.7369 | + | 30.7369i | −1.04873 | + | 1.04873i | −0.0499792 | + | 0.998750i | \(0.515915\pi\) |
−0.998750 | + | 0.0499792i | \(0.984085\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.89790 | + | 3.89790i | 0.132840 | + | 0.132840i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18.9353 | − | 18.9353i | −0.644565 | − | 0.644565i | 0.307109 | − | 0.951674i | \(-0.400638\pi\) |
−0.951674 | + | 0.307109i | \(0.900638\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.40353 | + | 18.2216i | 0.251728 | + | 0.619553i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −48.9441 | −1.66223 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.9226 | − | 23.9226i | −0.811517 | − | 0.811517i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.20638 | 0.210295 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −2.22280 | − | 2.22280i | −0.0752305 | − | 0.0752305i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 6.55684 | + | 16.7859i | 0.221662 | + | 0.567465i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 49.7461i | 1.67981i | 0.542737 | + | 0.839903i | \(0.317388\pi\) | ||||
−0.542737 | + | 0.839903i | \(0.682612\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.98423 | −0.134385 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.7694 | 0.935574 | 0.467787 | − | 0.883841i | \(-0.345051\pi\) | ||||
0.467787 | + | 0.883841i | \(0.345051\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 42.4602i | − | 1.42890i | −0.699686 | − | 0.714450i | \(-0.746677\pi\) | ||
0.699686 | − | 0.714450i | \(-0.253323\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 9.31938 | − | 22.0751i | 0.313268 | − | 0.742048i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 16.1076 | + | 16.1076i | 0.540842 | + | 0.540842i | 0.923776 | − | 0.382934i | \(-0.125086\pi\) |
−0.382934 | + | 0.923776i | \(0.625086\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.6234 | −0.557531 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.14563 | − | 7.14563i | −0.239388 | − | 0.239388i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −58.2596 | −1.94958 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.14281 | − | 19.2882i | 0.272184 | − | 0.644732i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.59329 | + | 1.59329i | 0.0531986 | + | 0.0531986i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.575741 | + | 0.575741i | 0.0192020 | + | 0.0192020i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −30.4780 | + | 30.4780i | −1.01537 | + | 1.01537i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.2123 | − | 13.2123i | 0.439679 | − | 0.439679i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 17.0236 | + | 7.18678i | 0.565883 | + | 0.238897i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.20991i | 0.305810i | 0.988241 | + | 0.152905i | \(0.0488628\pi\) | ||||
−0.988241 | + | 0.152905i | \(0.951137\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.02174 | + | 9.02174i | −0.299232 | + | 0.299232i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 45.8065i | 1.51764i | 0.651302 | + | 0.758819i | \(0.274223\pi\) | ||||
−0.651302 | + | 0.758819i | \(0.725777\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.58351 | + | 7.58351i | −0.250978 | + | 0.250978i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −24.9090 | − | 10.5158i | −0.823467 | − | 0.347640i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 27.3068 | 0.901749 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 5.52468i | − | 0.182242i | −0.995840 | − | 0.0911211i | \(-0.970955\pi\) | ||
0.995840 | − | 0.0911211i | \(-0.0290450\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | − | 18.6617i | − | 0.614924i | ||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −21.0744 | −0.693672 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.9852 | − | 11.6650i | 0.394070 | − | 0.383542i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.20422 | + | 2.20422i | −0.0723961 | + | 0.0723961i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 43.4288i | 1.42485i | 0.701746 | + | 0.712427i | \(0.252404\pi\) | ||||
−0.701746 | + | 0.712427i | \(0.747596\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.2763 | + | 16.2763i | −0.533433 | + | 0.533433i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 18.5210i | 0.606352i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 50.5451 | − | 20.5367i | 1.65300 | − | 0.671623i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −20.7275 | + | 20.7275i | −0.677138 | + | 0.677138i | −0.959352 | − | 0.282213i | \(-0.908931\pi\) |
0.282213 | + | 0.959352i | \(0.408931\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.9741 | + | 12.9741i | −0.423392 | + | 0.423392i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.3393 | + | 12.3393i | 0.402251 | + | 0.402251i | 0.879026 | − | 0.476775i | \(-0.158194\pi\) |
−0.476775 | + | 0.879026i | \(0.658194\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.43228 | − | 2.43228i | −0.0792060 | − | 0.0792060i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 18.5414 | + | 7.82757i | 0.603153 | + | 0.254631i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 48.3611 | 1.57152 | 0.785762 | − | 0.618529i | \(-0.212271\pi\) | ||||
0.785762 | + | 0.618529i | \(0.212271\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.03807 | + | 2.03807i | 0.0661585 | + | 0.0661585i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.7752 | 0.576399 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 34.0371 | + | 34.0371i | 1.10257 | + | 1.10257i | 0.994100 | + | 0.108471i | \(0.0345953\pi\) |
0.108471 | + | 0.994100i | \(0.465405\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.80980 | − | 1.54794i | 0.123282 | − | 0.0500903i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 14.1208i | 0.456459i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 11.2325 | 0.362716 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.9412 | 0.998102 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 4.96238i | − | 0.159911i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.0142 | − | 7.60500i | −0.579898 | − | 0.244814i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.9307 | + | 18.9307i | 0.608770 | + | 0.608770i | 0.942625 | − | 0.333855i | \(-0.108349\pi\) |
−0.333855 | + | 0.942625i | \(0.608349\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 49.7732 | 1.59895 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 21.2698 | + | 21.2698i | 0.682580 | + | 0.682580i | 0.960581 | − | 0.278001i | \(-0.0896719\pi\) |
−0.278001 | + | 0.960581i | \(0.589672\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.4822 | 0.752805 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.09841 | − | 6.26581i | −0.195305 | − | 0.200666i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.13884 | + | 2.13884i | 0.0684275 | + | 0.0684275i | 0.740492 | − | 0.672065i | \(-0.234592\pi\) |
−0.672065 | + | 0.740492i | \(0.734592\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22.6911 | − | 22.6911i | −0.725210 | − | 0.725210i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.07601 | + | 7.07601i | −0.225919 | + | 0.225919i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.18193 | − | 6.18193i | 0.197173 | − | 0.197173i | −0.601614 | − | 0.798787i | \(-0.705475\pi\) |
0.798787 | + | 0.601614i | \(0.205475\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.67708 | − | 11.5113i | −0.149024 | − | 0.366779i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 23.0064i | 0.732302i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.24447 | + | 8.24447i | −0.262159 | + | 0.262159i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 43.4847i | − | 1.38134i | −0.723172 | − | 0.690668i | \(-0.757317\pi\) | ||
0.723172 | − | 0.690668i | \(-0.242683\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 2.17092 | − | 2.17092i | 0.0688921 | − | 0.0688921i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −14.4269 | + | 5.86173i | −0.457364 | + | 0.185829i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −33.4043 | −1.05793 | −0.528963 | − | 0.848645i | \(-0.677419\pi\) | ||||
−0.528963 | + | 0.848645i | \(0.677419\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − | 18.6783i | − | 0.590954i |
(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 | 320.2.j.b.47.7 | 18 | ||
4.3 | odd | 2 | 80.2.j.b.67.2 | yes | 18 | ||
5.2 | odd | 4 | 1600.2.s.d.943.7 | 18 | |||
5.3 | odd | 4 | 320.2.s.b.303.3 | 18 | |||
5.4 | even | 2 | 1600.2.j.d.1007.3 | 18 | |||
8.3 | odd | 2 | 640.2.j.d.607.7 | 18 | |||
8.5 | even | 2 | 640.2.j.c.607.3 | 18 | |||
12.11 | even | 2 | 720.2.bd.g.307.8 | 18 | |||
16.3 | odd | 4 | 640.2.s.c.287.7 | 18 | |||
16.5 | even | 4 | 80.2.s.b.27.4 | yes | 18 | ||
16.11 | odd | 4 | 320.2.s.b.207.3 | 18 | |||
16.13 | even | 4 | 640.2.s.d.287.3 | 18 | |||
20.3 | even | 4 | 80.2.s.b.3.4 | yes | 18 | ||
20.7 | even | 4 | 400.2.s.d.243.6 | 18 | |||
20.19 | odd | 2 | 400.2.j.d.307.8 | 18 | |||
40.3 | even | 4 | 640.2.s.d.223.3 | 18 | |||
40.13 | odd | 4 | 640.2.s.c.223.7 | 18 | |||
48.5 | odd | 4 | 720.2.z.g.667.6 | 18 | |||
60.23 | odd | 4 | 720.2.z.g.163.6 | 18 | |||
80.3 | even | 4 | 640.2.j.c.543.7 | 18 | |||
80.13 | odd | 4 | 640.2.j.d.543.3 | 18 | |||
80.27 | even | 4 | 1600.2.j.d.143.7 | 18 | |||
80.37 | odd | 4 | 400.2.j.d.43.8 | 18 | |||
80.43 | even | 4 | inner | 320.2.j.b.143.3 | 18 | ||
80.53 | odd | 4 | 80.2.j.b.43.2 | ✓ | 18 | ||
80.59 | odd | 4 | 1600.2.s.d.207.7 | 18 | |||
80.69 | even | 4 | 400.2.s.d.107.6 | 18 | |||
240.53 | even | 4 | 720.2.bd.g.523.8 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.2 | ✓ | 18 | 80.53 | odd | 4 | ||
80.2.j.b.67.2 | yes | 18 | 4.3 | odd | 2 | ||
80.2.s.b.3.4 | yes | 18 | 20.3 | even | 4 | ||
80.2.s.b.27.4 | yes | 18 | 16.5 | even | 4 | ||
320.2.j.b.47.7 | 18 | 1.1 | even | 1 | trivial | ||
320.2.j.b.143.3 | 18 | 80.43 | even | 4 | inner | ||
320.2.s.b.207.3 | 18 | 16.11 | odd | 4 | |||
320.2.s.b.303.3 | 18 | 5.3 | odd | 4 | |||
400.2.j.d.43.8 | 18 | 80.37 | odd | 4 | |||
400.2.j.d.307.8 | 18 | 20.19 | odd | 2 | |||
400.2.s.d.107.6 | 18 | 80.69 | even | 4 | |||
400.2.s.d.243.6 | 18 | 20.7 | even | 4 | |||
640.2.j.c.543.7 | 18 | 80.3 | even | 4 | |||
640.2.j.c.607.3 | 18 | 8.5 | even | 2 | |||
640.2.j.d.543.3 | 18 | 80.13 | odd | 4 | |||
640.2.j.d.607.7 | 18 | 8.3 | odd | 2 | |||
640.2.s.c.223.7 | 18 | 40.13 | odd | 4 | |||
640.2.s.c.287.7 | 18 | 16.3 | odd | 4 | |||
640.2.s.d.223.3 | 18 | 40.3 | even | 4 | |||
640.2.s.d.287.3 | 18 | 16.13 | even | 4 | |||
720.2.z.g.163.6 | 18 | 60.23 | odd | 4 | |||
720.2.z.g.667.6 | 18 | 48.5 | odd | 4 | |||
720.2.bd.g.307.8 | 18 | 12.11 | even | 2 | |||
720.2.bd.g.523.8 | 18 | 240.53 | even | 4 | |||
1600.2.j.d.143.7 | 18 | 80.27 | even | 4 | |||
1600.2.j.d.1007.3 | 18 | 5.4 | even | 2 | |||
1600.2.s.d.207.7 | 18 | 80.59 | odd | 4 | |||
1600.2.s.d.943.7 | 18 | 5.2 | odd | 4 |