Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(223,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.223");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.s (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: | \(5.11042572936\) |
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 | 223.3 | ||
Root | \(1.41323 + 0.0526497i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 640.223 |
Dual form | 640.2.s.d.287.3 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.28110 | −0.739642 | −0.369821 | − | 0.929103i | \(-0.620581\pi\) | ||||
−0.369821 | + | 0.929103i | \(0.620581\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.07160 | − | 0.841703i | −0.926449 | − | 0.376421i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.13975 | + | 1.13975i | −0.430785 | + | 0.430785i | −0.888895 | − | 0.458111i | \(-0.848526\pi\) |
0.458111 | + | 0.888895i | \(0.348526\pi\) | |||||||
\(8\) | 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 | ||||||||
\(13\) | − | 1.36502i | − | 0.378589i | −0.981920 | − | 0.189294i | \(-0.939380\pi\) | ||
0.981920 | − | 0.189294i | \(-0.0606201\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.65392 | + | 1.07830i | 0.685240 | + | 0.278416i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.25380 | − | 5.25380i | 1.27423 | − | 1.27423i | 0.330389 | − | 0.943845i | \(-0.392820\pi\) |
0.943845 | − | 0.330389i | \(-0.107180\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.69752 | + | 3.69752i | 0.848269 | + | 0.848269i | 0.989917 | − | 0.141648i | \(-0.0452403\pi\) |
−0.141648 | + | 0.989917i | \(0.545240\pi\) | |||||||
\(20\) | 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 | \(-0.292890\pi\) |
−0.795688 | + | 0.605707i | \(0.792890\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.58307 | + | 3.48735i | 0.716615 | + | 0.697469i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.58403 | 1.07465 | ||||||||
\(28\) | 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 | \(-0.993065\pi\) | ||
0.999763 | − | 0.0217841i | \(-0.00693463\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.97475 | − | 2.97475i | −0.517838 | − | 0.517838i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.32044 | − | 1.40178i | 0.561256 | − | 0.236944i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 3.34494i | − | 0.549905i | −0.961458 | − | 0.274953i | \(-0.911338\pi\) | ||
0.961458 | − | 0.274953i | \(-0.0886621\pi\) | |||||||
\(38\) | 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 | ||||||||
\(43\) | − | 9.04874i | − | 1.37992i | −0.723847 | − | 0.689960i | \(-0.757628\pi\) | ||
0.723847 | − | 0.689960i | \(-0.242372\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.81488 | + | 1.14370i | 0.419617 | + | 0.170492i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.87820 | + | 7.87820i | 1.14915 | + | 1.14915i | 0.986719 | + | 0.162435i | \(0.0519348\pi\) |
0.162435 | + | 0.986719i | \(0.448065\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.40194i | 0.628849i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.73063 | + | 6.73063i | −0.942476 | + | 0.942476i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.80113 | 0.796846 | 0.398423 | − | 0.917202i | \(-0.369558\pi\) | ||||
0.398423 | + | 0.917202i | \(0.369558\pi\) | |||||||
\(54\) | 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 | −0.978112 | − | 0.208079i | \(-0.933279\pi\) |
0.208079 | + | 0.978112i | \(0.433279\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.67404 | + | 6.67404i | 0.854523 | + | 0.854523i | 0.990686 | − | 0.136163i | \(-0.0434772\pi\) |
−0.136163 | + | 0.990686i | \(0.543477\pi\) | |||||||
\(62\) | 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 | ||||||||
\(67\) | − | 4.54673i | − | 0.555471i | −0.960658 | − | 0.277736i | \(-0.910416\pi\) | ||
0.960658 | − | 0.277736i | \(-0.0895839\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.16723 | + | 1.16723i | 0.140518 | + | 0.140518i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.4389 | 1.83226 | 0.916128 | − | 0.400885i | \(-0.131297\pi\) | ||||
0.916128 | + | 0.400885i | \(0.131297\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.49307 | + | 1.49307i | −0.174750 | + | 0.174750i | −0.789063 | − | 0.614313i | \(-0.789433\pi\) |
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.59026 | − | 4.46763i | −0.530038 | − | 0.515877i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.29308 | −0.603202 | ||||||||
\(78\) | 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 | ||||||||
\(83\) | −3.26589 | −0.358478 | −0.179239 | − | 0.983806i | \(-0.557364\pi\) | ||||
−0.179239 | + | 0.983806i | \(0.557364\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.3059 | + | 6.46165i | −1.66016 | + | 0.700864i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.04060 | + | 3.04060i | −0.325986 | + | 0.325986i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 9.77206 | 1.03584 | 0.517918 | − | 0.855430i | \(-0.326707\pi\) | ||||
0.517918 | + | 0.855430i | \(0.326707\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.55578 | + | 1.55578i | 0.163090 | + | 0.163090i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.310765i | 0.0322248i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.54758 | − | 10.7720i | −0.466571 | − | 1.10518i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.63587 | + | 1.63587i | −0.166097 | + | 0.166097i | −0.785262 | − | 0.619164i | \(-0.787472\pi\) |
0.619164 | + | 0.785262i | \(0.287472\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.15516 | − | 3.15516i | −0.317106 | − | 0.317106i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.63953 | − | 6.63953i | 0.660658 | − | 0.660658i | −0.294877 | − | 0.955535i | \(-0.595279\pi\) |
0.955535 | + | 0.294877i | \(0.0952787\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.62219 | + | 1.62219i | 0.159839 | + | 0.159839i | 0.782496 | − | 0.622656i | \(-0.213946\pi\) |
−0.622656 | + | 0.782496i | \(0.713946\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.25380 | + | 1.79581i | −0.415129 | + | 0.175253i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.65206 | −0.353058 | −0.176529 | − | 0.984295i | \(-0.556487\pi\) | ||||
−0.176529 | + | 0.984295i | \(0.556487\pi\) | |||||||
\(108\) | 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 | 0.476588 | − | 0.879127i | \(-0.341873\pi\) |
−0.879127 | + | 0.476588i | \(0.841873\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.12058 | + | 2.65437i | 0.104495 | + | 0.247521i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.85478i | 0.171474i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.9760i | 1.09784i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 0.216302i | − | 0.0196639i | ||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.41996i | 0.308367i | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.48739 | − | 10.2403i | −0.401365 | − | 0.915918i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.29257 | − | 7.29257i | −0.647111 | − | 0.647111i | 0.305183 | − | 0.952294i | \(-0.401282\pi\) |
−0.952294 | + | 0.305183i | \(0.901282\pi\) | |||||||
\(128\) | 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 | ||||||||
\(133\) | −8.42848 | −0.730842 | ||||||||
\(134\) | 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 | \(-0.346216\pi\) |
−0.885546 | + | 0.464551i | \(0.846216\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.3015 | + | 10.3015i | −0.873761 | + | 0.873761i | −0.992880 | − | 0.119119i | \(-0.961993\pi\) |
0.119119 | + | 0.992880i | \(0.461993\pi\) | |||||||
\(140\) | 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 | ||||||||
\(147\) | − | 5.63931i | − | 0.465123i | ||||||
\(148\) | 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 | \(-0.643464\pi\) | ||||
−0.435602 | + | 0.900139i | \(0.643464\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −7.13882 | + | 7.13882i | −0.577139 | + | 0.577139i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.204178 | + | 0.502523i | −0.0164000 | + | 0.0403636i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.34588 | −0.187222 | −0.0936108 | − | 0.995609i | \(-0.529841\pi\) | ||||
−0.0936108 | + | 0.995609i | \(0.529841\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.43180 | −0.589380 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.07689 | 0.163682 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.73625 | 0.214319 | 0.107160 | − | 0.994242i | \(-0.465824\pi\) | ||||
0.107160 | + | 0.994242i | \(0.465824\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.65865 | + | 8.66636i | 0.284825 | + | 0.674675i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.1328 | − | 10.1328i | 0.784097 | − | 0.784097i | −0.196423 | − | 0.980519i | \(-0.562932\pi\) |
0.980519 | + | 0.196423i | \(0.0629325\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.1367 | 0.856670 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.02415 | − | 5.02415i | −0.384207 | − | 0.384207i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.79590i | 0.668740i | 0.942442 | + | 0.334370i | \(0.108523\pi\) | ||||
−0.942442 | + | 0.334370i | \(0.891477\pi\) | |||||||
\(174\) | 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 | 0.414977 | − | 0.909832i | \(-0.363790\pi\) |
−0.909832 | + | 0.414977i | \(0.863790\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.84339 | − | 5.84339i | 0.434336 | − | 0.434336i | −0.455765 | − | 0.890100i | \(-0.650634\pi\) |
0.890100 | + | 0.455765i | \(0.150634\pi\) | |||||||
\(182\) | 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 | ||||||||
\(187\) | 24.3990 | 1.78423 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.36440 | + | 6.36440i | −0.462942 | + | 0.462942i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 1.83906i | − | 0.133070i | −0.997784 | − | 0.0665349i | \(-0.978806\pi\) | ||
0.997784 | − | 0.0665349i | \(-0.0211944\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.18343 | + | 6.18343i | 0.445093 | + | 0.445093i | 0.893719 | − | 0.448626i | \(-0.148087\pi\) |
−0.448626 | + | 0.893719i | \(0.648087\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.47191 | − | 3.62266i | 0.105405 | − | 0.259424i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.55669i | 0.395898i | 0.980212 | + | 0.197949i | \(0.0634280\pi\) | ||||
−0.980212 | + | 0.197949i | \(0.936572\pi\) | |||||||
\(198\) | 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 | ||||||||
\(203\) | 5.41024i | 0.379724i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.24697 | + | 5.53026i | −0.156935 | + | 0.386250i | ||||
\(206\) | 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 | ||||||||
\(213\) | −19.7787 | −1.35521 | ||||||||
\(214\) | 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 | −0.357012 | − | 0.934100i | \(-0.616204\pi\) |
0.934100 | + | 0.357012i | \(0.116204\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.86865 | − | 4.73858i | −0.324577 | − | 0.315905i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 6.01977i | 0.399546i | 0.979842 | + | 0.199773i | \(0.0640205\pi\) | ||||
−0.979842 | + | 0.199773i | \(0.935980\pi\) | |||||||
\(228\) | 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 | \(-0.549829\pi\) |
0.987772 | + | 0.155904i | \(0.0498289\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.68940 | − | 22.9516i | −0.632067 | − | 1.49720i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 13.1984 | 0.857327 | ||||||||
\(238\) | 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 | ||||||||
\(243\) | −12.8098 | −0.821747 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.70513 | − | 9.11908i | 0.236712 | − | 0.582596i | ||||
\(246\) | 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 | ||||||||
\(253\) | − | 4.23130i | − | 0.266019i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 19.6084 | − | 8.27800i | 1.22792 | − | 0.518388i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.13062 | + | 4.13062i | −0.257661 | + | 0.257661i | −0.824102 | − | 0.566441i | \(-0.808320\pi\) |
0.566441 | + | 0.824102i | \(0.308320\pi\) | |||||||
\(258\) | 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 | 0.998318 | + | 0.0579798i | \(0.0184659\pi\) |
0.0579798 | + | 0.998318i | \(0.481534\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0176 | − | 4.88282i | −0.738237 | − | 0.299949i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.5190 | −0.766147 | ||||||||
\(268\) | 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 | \(0.322824\pi\) | ||||
−0.528316 | + | 0.849048i | \(0.677176\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.99311 | − | 1.99311i | −0.120628 | − | 0.120628i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.222281 | + | 16.4178i | 0.0134041 | + | 0.990029i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 26.0257i | − | 1.56373i | −0.623447 | − | 0.781866i | \(-0.714268\pi\) | ||
0.623447 | − | 0.781866i | \(-0.285732\pi\) | |||||||
\(278\) | 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 | ||||||||
\(283\) | − | 4.73708i | − | 0.281590i | −0.990039 | − | 0.140795i | \(-0.955034\pi\) | ||
0.990039 | − | 0.140795i | \(-0.0449658\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.82588 | + | 13.8000i | 0.345096 | + | 0.817439i | ||||
\(286\) | 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 | ||||||||
\(293\) | 3.11001 | 0.181689 | 0.0908445 | − | 0.995865i | \(-0.471043\pi\) | ||||
0.0908445 | + | 0.995865i | \(0.471043\pi\) | |||||||
\(294\) | 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 | ||||||||
\(307\) | 14.5670i | 0.831382i | 0.909506 | + | 0.415691i | \(0.136460\pi\) | ||||
−0.909506 | + | 0.415691i | \(0.863540\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.07819 | − | 2.07819i | −0.118224 | − | 0.118224i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.4572 | −0.819791 | −0.409896 | − | 0.912132i | \(-0.634435\pi\) | ||||
−0.409896 | + | 0.912132i | \(0.634435\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.1273 | + | 10.1273i | −0.572429 | + | 0.572429i | −0.932807 | − | 0.360377i | \(-0.882648\pi\) |
0.360377 | + | 0.932807i | \(0.382648\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.51178 | + | 1.90472i | −0.254210 | + | 0.107319i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 13.8750 | 0.779295 | 0.389648 | − | 0.920964i | \(-0.372597\pi\) | ||||
0.389648 | + | 0.920964i | \(0.372597\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.0224 | 0.617136 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.67864 | 0.261136 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 38.8520 | 2.16179 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.76030 | − | 4.89097i | 0.264054 | − | 0.271302i | ||||
\(326\) | 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 | ||||||||
\(333\) | 4.54508i | 0.249069i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.82699 | + | 9.41902i | −0.209091 | + | 0.514616i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.53338 | + | 9.53338i | −0.519316 | + | 0.519316i | −0.917364 | − | 0.398048i | \(-0.869688\pi\) |
0.398048 | + | 0.917364i | \(0.369688\pi\) | |||||||
\(338\) | 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 | ||||||||
\(347\) | 6.67273 | 0.358211 | 0.179105 | − | 0.983830i | \(-0.442680\pi\) | ||||
0.179105 | + | 0.983830i | \(0.442680\pi\) | |||||||
\(348\) | 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 | 0.549754 | − | 0.835327i | \(-0.314721\pi\) |
−0.835327 | + | 0.549754i | \(0.814721\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −31.9832 | − | 12.9949i | −1.69749 | − | 0.689700i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | − | 15.3425i | − | 0.812009i | ||||||
\(358\) | 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 | ||||||||
\(363\) | 0.277104i | 0.0145442i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.34976 | − | 1.83632i | 0.227677 | − | 0.0961175i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.0536 | + | 18.0536i | 0.942389 | + | 0.942389i | 0.998429 | − | 0.0560392i | \(-0.0178472\pi\) |
−0.0560392 | + | 0.998429i | \(0.517847\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.62737i | 0.188833i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.61183 | + | 6.61183i | −0.343269 | + | 0.343269i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.36197 | 0.225854 | 0.112927 | − | 0.993603i | \(-0.463977\pi\) | ||||
0.112927 | + | 0.993603i | \(0.463977\pi\) | |||||||
\(374\) | 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 | −0.538186 | − | 0.842826i | \(-0.680890\pi\) |
0.842826 | + | 0.538186i | \(0.180890\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.34249 | + | 9.34249i | 0.478630 | + | 0.478630i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −19.3340 | + | 19.3340i | −0.987922 | + | 0.987922i | −0.999928 | − | 0.0120057i | \(-0.996178\pi\) |
0.0120057 | + | 0.999928i | \(0.496178\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.9652 | + | 4.45520i | 0.558836 | + | 0.227058i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 12.2954i | 0.625008i | ||||||||
\(388\) | 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 | ||||||||
\(395\) | 21.3425 | + | 8.67157i | 1.07386 | + | 0.436314i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.58413 | −0.330448 | −0.165224 | − | 0.986256i | \(-0.552835\pi\) | ||||
−0.165224 | + | 0.986256i | \(0.552835\pi\) | |||||||
\(398\) | 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 | ||||||||
\(403\) | −0.331123 | −0.0164944 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.37497 | + | 2.59018i | 0.316775 | + | 0.128707i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.76707 | − | 7.76707i | 0.385000 | − | 0.385000i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.76937 | 0.285277 | 0.142638 | − | 0.989775i | \(-0.454441\pi\) | ||||
0.142638 | + | 0.989775i | \(0.454441\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.31276 | + | 6.31276i | 0.311385 | + | 0.311385i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 13.4826i | − | 0.663437i | ||||||
\(414\) | 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 | 0.462249 | − | 0.886750i | \(-0.347043\pi\) |
−0.886750 | + | 0.462249i | \(0.847043\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −20.1193 | + | 20.1193i | −0.980555 | + | 0.980555i | −0.999815 | − | 0.0192594i | \(-0.993869\pi\) |
0.0192594 | + | 0.999815i | \(0.493869\pi\) | |||||||
\(422\) | 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 | ||||||||
\(427\) | −15.2135 | −0.736231 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.06060 | + | 4.06060i | −0.196048 | + | 0.196048i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 33.6247i | − | 1.61965i | −0.586675 | − | 0.809823i | \(-0.699563\pi\) | ||
0.586675 | − | 0.809823i | \(-0.300437\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.46558 | + | 7.46558i | 0.358773 | + | 0.358773i | 0.863361 | − | 0.504588i | \(-0.168355\pi\) |
−0.504588 | + | 0.863361i | \(0.668355\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.85819 | − | 3.73963i | 0.424718 | − | 0.179302i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 6.73775i | − | 0.322310i | ||||||
\(438\) | 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 | ||||||||
\(443\) | − | 10.6463i | − | 0.505823i | −0.967489 | − | 0.252911i | \(-0.918612\pi\) | ||
0.967489 | − | 0.252911i | \(-0.0813881\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.2438 | − | 8.22517i | −0.959649 | − | 0.389910i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −19.4778 | − | 19.4778i | −0.921266 | − | 0.921266i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.08115i | 0.286987i | 0.989651 | + | 0.143494i | \(0.0458336\pi\) | ||||
−0.989651 | + | 0.143494i | \(0.954166\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.19880 | − | 6.19880i | 0.291890 | − | 0.291890i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.7148 | 0.644379 | ||||||||
\(454\) | 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 | \(-0.246696\pi\) |
−0.699729 | + | 0.714409i | \(0.746696\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 29.3374 | − | 29.3374i | 1.36935 | − | 1.36935i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.90949 | − | 9.90949i | −0.461531 | − | 0.461531i | 0.437626 | − | 0.899157i | \(-0.355819\pi\) |
−0.899157 | + | 0.437626i | \(0.855819\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.3430 | − | 17.3430i | 0.805999 | − | 0.805999i | −0.178027 | − | 0.984026i | \(-0.556971\pi\) |
0.984026 | + | 0.178027i | \(0.0569714\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.261571 | − | 0.643781i | 0.0121301 | − | 0.0298546i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.52267i | 0.0704606i | 0.999379 | + | 0.0352303i | \(0.0112165\pi\) | ||||
−0.999379 | + | 0.0352303i | \(0.988784\pi\) | |||||||
\(468\) | 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 | ||||||||
\(475\) | 0.353952 | + | 26.1430i | 0.0162404 | + | 1.19952i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −7.88252 | −0.360916 | ||||||||
\(478\) | 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 | ||||||||
\(483\) | −2.66070 | −0.121066 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.76578 | − | 2.01195i | 0.216403 | − | 0.0913581i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.9809 | + | 25.9809i | −1.17730 | + | 1.17730i | −0.196876 | + | 0.980428i | \(0.563080\pi\) |
−0.980428 | + | 0.196876i | \(0.936920\pi\) | |||||||
\(488\) | 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 | ||||||||
\(493\) | − | 24.9391i | − | 1.12320i | ||||||
\(494\) | 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 | 0.841672 | − | 0.539990i | \(-0.181572\pi\) |
−0.539990 | + | 0.841672i | \(0.681572\pi\) | |||||||
\(500\) | 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 | \(-0.311816\pi\) |
−0.830274 | + | 0.557356i | \(0.811816\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −19.3430 | + | 8.16596i | −0.860752 | + | 0.363380i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −14.2672 | −0.633629 | ||||||||
\(508\) | 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 | ||||||||
\(515\) | −1.99514 | − | 4.72594i | −0.0879162 | − | 0.208250i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 36.5869i | 1.60909i | ||||||||
\(518\) | 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 | ||||||||
\(523\) | 26.0176i | 1.13767i | 0.822452 | + | 0.568834i | \(0.192605\pi\) | ||||
−0.822452 | + | 0.568834i | \(0.807395\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 10.3237 | − | 0.139774i | 0.450564 | − | 0.00610022i | ||||
\(526\) | 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 | ||||||||
\(533\) | −3.64400 | −0.157839 | ||||||||
\(534\) | 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 | 0.834210 | − | 0.551447i | \(-0.185924\pi\) |
−0.551447 | + | 0.834210i | \(0.685924\pi\) | |||||||
\(542\) | 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 | ||||||||
\(547\) | − | 10.6170i | − | 0.453951i | −0.973900 | − | 0.226976i | \(-0.927116\pi\) | ||
0.973900 | − | 0.226976i | \(-0.0728838\pi\) | |||||||
\(548\) | 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 | ||||||||
\(555\) | 3.60686 | − | 8.87722i | 0.153103 | − | 0.376817i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.9610 | −0.888146 | −0.444073 | − | 0.895991i | \(-0.646467\pi\) | ||||
−0.444073 | + | 0.895991i | \(0.646467\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.3517 | −0.522422 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −31.2575 | −1.31969 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −16.5598 | −0.697911 | −0.348955 | − | 0.937139i | \(-0.613464\pi\) | ||||
−0.348955 | + | 0.937139i | \(0.613464\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.26280 | + | 12.4662i | 0.221408 | + | 0.524456i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.50736 | − | 3.50736i | 0.147295 | − | 0.147295i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −39.6751 | −1.66327 | −0.831634 | − | 0.555325i | \(-0.812594\pi\) | ||||
−0.831634 | + | 0.555325i | \(0.812594\pi\) | |||||||
\(570\) | 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 | ||||||||
\(573\) | 2.35602i | 0.0984240i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.0872185 | − | 6.44199i | −0.00363726 | − | 0.268649i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −28.7705 | + | 28.7705i | −1.19773 | + | 1.19773i | −0.222888 | + | 0.974844i | \(0.571549\pi\) |
−0.974844 | + | 0.222888i | \(0.928451\pi\) | |||||||
\(578\) | 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 | ||||||||
\(587\) | −33.4854 | −1.38209 | −0.691046 | − | 0.722811i | \(-0.742850\pi\) | ||||
−0.691046 | + | 0.722811i | \(0.742850\pi\) | |||||||
\(588\) | 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 | 0.903036 | − | 0.429564i | \(-0.141333\pi\) |
−0.429564 | + | 0.903036i | \(0.641333\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.0803 | − | 24.8096i | 0.413250 | − | 1.01709i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.92172i | 0.365142i | ||||||||
\(598\) | 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 | ||||||||
\(603\) | 6.17806i | 0.251590i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.182062 | + | 0.448093i | −0.00740188 | + | 0.0182176i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −30.4850 | − | 30.4850i | −1.23735 | − | 1.23735i | −0.961081 | − | 0.276265i | \(-0.910903\pi\) |
−0.276265 | − | 0.961081i | \(-0.589097\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 6.93104i | − | 0.280860i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.7539 | − | 10.7539i | 0.435057 | − | 0.435057i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.2657 | 0.818523 | 0.409261 | − | 0.912417i | \(-0.365786\pi\) | ||||
0.409261 | + | 0.912417i | \(0.365786\pi\) | |||||||
\(614\) | 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 | \(-0.235379\pi\) |
−0.673892 | + | 0.738830i | \(0.735379\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.46756 | − | 2.46756i | 0.0991797 | − | 0.0991797i | −0.655776 | − | 0.754956i | \(-0.727658\pi\) |
0.754956 | + | 0.655776i | \(0.227658\pi\) | |||||||
\(620\) | 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 | ||||||||
\(627\) | − | 21.9984i | − | 0.878531i | ||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.5737 | − | 17.5737i | −0.700708 | − | 0.700708i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.9602 | −1.19270 | −0.596348 | − | 0.802726i | \(-0.703382\pi\) | ||||
−0.596348 | + | 0.802726i | \(0.703382\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.96133 | − | 6.96133i | 0.276688 | − | 0.276688i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.96913 | + | 21.2455i | 0.355929 | + | 0.843101i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.00875 | 0.238075 | ||||||||
\(638\) | 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 | ||||||||
\(643\) | −24.5635 | −0.968691 | −0.484345 | − | 0.874877i | \(-0.660942\pi\) | ||||
−0.484345 | + | 0.874877i | \(0.660942\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 9.75728 | − | 24.0147i | 0.384193 | − | 0.945577i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.1347 | + | 23.1347i | −0.909519 | + | 0.909519i | −0.996233 | − | 0.0867142i | \(-0.972363\pi\) |
0.0867142 | + | 0.996233i | \(0.472363\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −27.4685 | −1.07823 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.354194 | − | 0.354194i | −0.0138820 | − | 0.0138820i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 50.8060i | 1.98819i | 0.108496 | + | 0.994097i | \(0.465397\pi\) | ||||
−0.108496 | + | 0.994097i | \(0.534603\pi\) | |||||||
\(654\) | 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 | 0.874216 | − | 0.485537i | \(-0.161376\pi\) |
−0.485537 | + | 0.874216i | \(0.661376\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.09643 | − | 5.09643i | 0.198228 | − | 0.198228i | −0.601012 | − | 0.799240i | \(-0.705236\pi\) |
0.799240 | + | 0.601012i | \(0.205236\pi\) | |||||||
\(662\) | 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 | ||||||||
\(667\) | −4.32496 | −0.167463 | ||||||||
\(668\) | 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 | −0.967867 | − | 0.251464i | \(-0.919088\pi\) |
−0.251464 | − | 0.967867i | \(-0.580912\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 20.0080 | + | 19.4735i | 0.770108 | + | 0.749534i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 25.6600i | 0.986196i | 0.869974 | + | 0.493098i | \(0.164136\pi\) | ||||
−0.869974 | + | 0.493098i | \(0.835864\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 3.72896i | − | 0.143104i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 7.71190i | − | 0.295521i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 12.3536i | − | 0.472698i | −0.971668 | − | 0.236349i | \(-0.924049\pi\) | ||
0.971668 | − | 0.236349i | \(-0.0759509\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.06048 | + | 14.3557i | 0.231559 | + | 0.548501i | ||||
\(686\) | 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 | ||||||||
\(693\) | 7.19219 | 0.273209 | ||||||||
\(694\) | 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 | \(-0.994217\pi\) |
−0.0181663 | − | 0.999835i | \(-0.505783\pi\) | |||||||
\(702\) | 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 | ||||||||
\(707\) | 15.1348i | 0.569203i | ||||||||
\(708\) | 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 | ||||||||
\(715\) | −9.23410 | + | 3.89833i | −0.345336 | + | 0.145789i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.28427 | −0.0853076 | ||||||||
\(718\) | 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 | ||||||||
\(723\) | −13.3797 | −0.497597 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 16.7812 | − | 0.227201i | 0.623237 | − | 0.00843805i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.4994 | − | 20.4994i | 0.760280 | − | 0.760280i | −0.216093 | − | 0.976373i | \(-0.569331\pi\) |
0.976373 | + | 0.216093i | \(0.0693315\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.6425 | 0.949722 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −47.5403 | − | 47.5403i | −1.75834 | − | 1.75834i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 10.7306i | − | 0.396344i | −0.980167 | − | 0.198172i | \(-0.936500\pi\) | ||
0.980167 | − | 0.198172i | \(-0.0635005\pi\) | |||||||
\(734\) | 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 | 0.650994 | − | 0.759083i | \(-0.274352\pi\) |
−0.759083 | + | 0.650994i | \(0.774352\pi\) | |||||||
\(740\) | 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 | \(-0.251845\pi\) |
−0.711193 | + | 0.702997i | \(0.751845\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.6994 | − | 44.2938i | −0.685091 | − | 1.62280i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.43766 | 0.162366 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.16243 | − | 4.16243i | 0.152092 | − | 0.152092i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 39.9939i | − | 1.45940i | −0.683769 | − | 0.729699i | \(-0.739660\pi\) | ||
0.683769 | − | 0.729699i | \(-0.260340\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −16.2055 | − | 16.2055i | −0.590563 | − | 0.590563i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.1776 | + | 9.01088i | 0.807126 | + | 0.327939i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32.9120i | 1.19621i | 0.801419 | + | 0.598103i | \(0.204079\pi\) | ||||
−0.801419 | + | 0.598103i | \(0.795921\pi\) | |||||||
\(758\) | 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 | ||||||||
\(763\) | − | 11.8707i | − | 0.429747i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 20.7976 | − | 8.78003i | 0.751937 | − | 0.317443i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.07375 | + | 8.07375i | 0.291526 | + | 0.291526i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 40.2535i | 1.45158i | 0.687917 | + | 0.725789i | \(0.258525\pi\) | ||||
−0.687917 | + | 0.725789i | \(0.741475\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.29172 | − | 5.29172i | 0.190577 | − | 0.190577i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −9.47175 | −0.340675 | −0.170338 | − | 0.985386i | \(-0.554486\pi\) | ||||
−0.170338 | + | 0.985386i | \(0.554486\pi\) | |||||||
\(774\) | 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 | ||||||||
\(787\) | − | 48.1367i | − | 1.71589i | −0.513742 | − | 0.857945i | \(-0.671741\pi\) | ||
0.513742 | − | 0.857945i | \(-0.328259\pi\) | |||||||
\(788\) | 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 | ||||||||
\(795\) | 15.3957 | + | 6.25537i | 0.546031 | + | 0.221855i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 33.8962 | 1.20066 | 0.600332 | − | 0.799751i | \(-0.295035\pi\) | ||||
0.600332 | + | 0.799751i | \(0.295035\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 82.7810 | 2.92858 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.2782 | −0.469162 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.93391 | −0.244692 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.30250 | − | 1.74813i | −0.151643 | − | 0.0616133i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −25.3753 | + | 25.3753i | −0.893254 | + | 0.893254i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 27.5625 | 0.969047 | 0.484523 | − | 0.874778i | \(-0.338993\pi\) | ||||
0.484523 | + | 0.874778i | \(0.338993\pi\) | |||||||
\(810\) | 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 | ||||||||
\(813\) | − | 35.8120i | − | 1.25598i | ||||||
\(814\) | 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 | −0.708111 | − | 0.706101i | \(-0.750452\pi\) |
0.706101 | + | 0.708111i | \(0.250452\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 28.5594 | + | 28.5594i | 0.995518 | + | 0.995518i | 0.999990 | − | 0.00447159i | \(-0.00142335\pi\) |
−0.00447159 | + | 0.999990i | \(0.501423\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.284764 | − | 21.0327i | −0.00991420 | − | 0.732266i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.0863 | 0.802788 | 0.401394 | − | 0.915905i | \(-0.368526\pi\) | ||||
0.401394 | + | 0.915905i | \(0.368526\pi\) | |||||||
\(828\) | 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 | ||||||||
\(835\) | −29.5198 | + | 12.4623i | −1.02158 | + | 0.431275i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 1.35456i | − | 0.0468204i | ||||||
\(838\) | 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 | ||||||||
\(843\) | 30.8746i | 1.06338i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −23.0708 | − | 9.37380i | −0.793661 | − | 0.322469i | ||||
\(846\) | 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 | ||||||||
\(853\) | 31.3639 | 1.07388 | 0.536939 | − | 0.843621i | \(-0.319581\pi\) | ||||
0.536939 | + | 0.843621i | \(0.319581\pi\) | |||||||
\(854\) | 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 | \(-0.122364\pi\) |
−0.375021 | + | 0.927016i | \(0.622364\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.7369 | − | 30.7369i | 1.04873 | − | 1.04873i | 0.0499792 | − | 0.998750i | \(-0.484085\pi\) |
0.998750 | − | 0.0499792i | \(-0.0159155\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.89790 | − | 3.89790i | −0.132840 | − | 0.132840i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18.9353 | + | 18.9353i | −0.644565 | + | 0.644565i | −0.951674 | − | 0.307109i | \(-0.900638\pi\) |
0.307109 | + | 0.951674i | \(0.400638\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.40353 | − | 18.2216i | 0.251728 | − | 0.619553i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 48.9441i | 1.66223i | ||||||||
\(868\) | 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 | ||||||||
\(875\) | 16.7859 | + | 6.55684i | 0.567465 | + | 0.221662i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −49.7461 | −1.67981 | −0.839903 | − | 0.542737i | \(-0.817388\pi\) | ||||
−0.839903 | + | 0.542737i | \(0.817388\pi\) | |||||||
\(878\) | 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 | ||||||||
\(883\) | 42.4602 | 1.42890 | 0.714450 | − | 0.699686i | \(-0.246677\pi\) | ||||
0.714450 | + | 0.699686i | \(0.246677\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −22.0751 | + | 9.31938i | −0.742048 | + | 0.313268i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.1076 | + | 16.1076i | −0.540842 | + | 0.540842i | −0.923776 | − | 0.382934i | \(-0.874914\pi\) |
0.382934 | + | 0.923776i | \(0.374914\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 16.6234 | 0.557531 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.14563 | − | 7.14563i | −0.239388 | − | 0.239388i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 58.2596i | 1.94958i | ||||||||
\(894\) | 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 | ||||||||
\(907\) | 9.20991 | 0.305810 | 0.152905 | − | 0.988241i | \(-0.451137\pi\) | ||||
0.152905 | + | 0.988241i | \(0.451137\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.02174 | + | 9.02174i | −0.299232 | + | 0.299232i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 45.8065i | − | 1.51764i | −0.651302 | − | 0.758819i | \(-0.725777\pi\) | ||
0.651302 | − | 0.758819i | \(-0.274223\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.58351 | − | 7.58351i | −0.250978 | − | 0.250978i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 10.5158 | + | 24.9090i | 0.347640 | + | 0.823467i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 27.3068i | 0.901749i | ||||||||
\(918\) | 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 | ||||||||
\(923\) | − | 21.0744i | − | 0.693672i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.6650 | − | 11.9852i | 0.383542 | − | 0.394070i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.20422 | − | 2.20422i | −0.0723961 | − | 0.0723961i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 43.4288i | − | 1.42485i | −0.701746 | − | 0.712427i | \(-0.747596\pi\) | ||
0.701746 | − | 0.712427i | \(-0.252404\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.2763 | + | 16.2763i | −0.533433 | + | 0.533433i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 18.5210 | 0.606352 | ||||||||
\(934\) | 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 | \(-0.0910686\pi\) |
−0.282213 | + | 0.959352i | \(0.591069\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.9741 | − | 12.9741i | 0.423392 | − | 0.423392i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −12.3393 | − | 12.3393i | −0.402251 | − | 0.402251i | 0.476775 | − | 0.879026i | \(-0.341806\pi\) |
−0.879026 | + | 0.476775i | \(0.841806\pi\) | |||||||
\(942\) | 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 | ||||||||
\(947\) | − | 48.3611i | − | 1.57152i | −0.618529 | − | 0.785762i | \(-0.712271\pi\) | ||
0.618529 | − | 0.785762i | \(-0.287729\pi\) | |||||||
\(948\) | 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 | −0.108471 | + | 0.994100i | \(0.534595\pi\) |
−0.994100 | + | 0.108471i | \(0.965405\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.54794 | + | 3.80980i | −0.0500903 | + | 0.123282i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −14.1208 | −0.456459 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 11.2325 | 0.362716 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.9412 | 0.998102 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.96238 | 0.159911 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −7.60500 | − | 18.0142i | −0.244814 | − | 0.579898i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.9307 | + | 18.9307i | −0.608770 | + | 0.608770i | −0.942625 | − | 0.333855i | \(-0.891651\pi\) |
0.333855 | + | 0.942625i | \(0.391651\pi\) | |||||||
\(968\) | 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 | ||||||||
\(973\) | − | 23.4822i | − | 0.752805i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.09841 | + | 6.26581i | −0.195305 | + | 0.200666i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.13884 | − | 2.13884i | 0.0684275 | − | 0.0684275i | −0.672065 | − | 0.740492i | \(-0.734592\pi\) |
0.740492 | + | 0.672065i | \(0.234592\pi\) | |||||||
\(978\) | 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 | \(-0.294525\pi\) |
−0.798787 | + | 0.601614i | \(0.794525\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.67708 | − | 11.5113i | 0.149024 | − | 0.366779i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 23.0064 | 0.732302 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.24447 | + | 8.24447i | −0.262159 | + | 0.262159i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 43.4847i | 1.38134i | 0.723172 | + | 0.690668i | \(0.242683\pi\) | ||||
−0.723172 | + | 0.690668i | \(0.757317\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 2.17092 | + | 2.17092i | 0.0688921 | + | 0.0688921i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.86173 | + | 14.4269i | −0.185829 | + | 0.457364i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 33.4043i | − | 1.05793i | −0.848645 | − | 0.528963i | \(-0.822581\pi\) | ||
0.848645 | − | 0.528963i | \(-0.177419\pi\) | |||||||
\(998\) | 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 | 640.2.s.d.223.3 | 18 | ||
4.3 | odd | 2 | 640.2.s.c.223.7 | 18 | |||
5.2 | odd | 4 | 640.2.j.d.607.7 | 18 | |||
8.3 | odd | 2 | 320.2.s.b.303.3 | 18 | |||
8.5 | even | 2 | 80.2.s.b.3.4 | yes | 18 | ||
16.3 | odd | 4 | 80.2.j.b.43.2 | ✓ | 18 | ||
16.5 | even | 4 | 640.2.j.c.543.7 | 18 | |||
16.11 | odd | 4 | 640.2.j.d.543.3 | 18 | |||
16.13 | even | 4 | 320.2.j.b.143.3 | 18 | |||
20.7 | even | 4 | 640.2.j.c.607.3 | 18 | |||
24.5 | odd | 2 | 720.2.z.g.163.6 | 18 | |||
40.3 | even | 4 | 1600.2.j.d.1007.3 | 18 | |||
40.13 | odd | 4 | 400.2.j.d.307.8 | 18 | |||
40.19 | odd | 2 | 1600.2.s.d.943.7 | 18 | |||
40.27 | even | 4 | 320.2.j.b.47.7 | 18 | |||
40.29 | even | 2 | 400.2.s.d.243.6 | 18 | |||
40.37 | odd | 4 | 80.2.j.b.67.2 | yes | 18 | ||
48.35 | even | 4 | 720.2.bd.g.523.8 | 18 | |||
80.3 | even | 4 | 400.2.s.d.107.6 | 18 | |||
80.13 | odd | 4 | 1600.2.s.d.207.7 | 18 | |||
80.19 | odd | 4 | 400.2.j.d.43.8 | 18 | |||
80.27 | even | 4 | inner | 640.2.s.d.287.3 | 18 | ||
80.29 | even | 4 | 1600.2.j.d.143.7 | 18 | |||
80.37 | odd | 4 | 640.2.s.c.287.7 | 18 | |||
80.67 | even | 4 | 80.2.s.b.27.4 | yes | 18 | ||
80.77 | odd | 4 | 320.2.s.b.207.3 | 18 | |||
120.77 | even | 4 | 720.2.bd.g.307.8 | 18 | |||
240.227 | odd | 4 | 720.2.z.g.667.6 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.2 | ✓ | 18 | 16.3 | odd | 4 | ||
80.2.j.b.67.2 | yes | 18 | 40.37 | odd | 4 | ||
80.2.s.b.3.4 | yes | 18 | 8.5 | even | 2 | ||
80.2.s.b.27.4 | yes | 18 | 80.67 | even | 4 | ||
320.2.j.b.47.7 | 18 | 40.27 | even | 4 | |||
320.2.j.b.143.3 | 18 | 16.13 | even | 4 | |||
320.2.s.b.207.3 | 18 | 80.77 | odd | 4 | |||
320.2.s.b.303.3 | 18 | 8.3 | odd | 2 | |||
400.2.j.d.43.8 | 18 | 80.19 | odd | 4 | |||
400.2.j.d.307.8 | 18 | 40.13 | odd | 4 | |||
400.2.s.d.107.6 | 18 | 80.3 | even | 4 | |||
400.2.s.d.243.6 | 18 | 40.29 | even | 2 | |||
640.2.j.c.543.7 | 18 | 16.5 | even | 4 | |||
640.2.j.c.607.3 | 18 | 20.7 | even | 4 | |||
640.2.j.d.543.3 | 18 | 16.11 | odd | 4 | |||
640.2.j.d.607.7 | 18 | 5.2 | odd | 4 | |||
640.2.s.c.223.7 | 18 | 4.3 | odd | 2 | |||
640.2.s.c.287.7 | 18 | 80.37 | odd | 4 | |||
640.2.s.d.223.3 | 18 | 1.1 | even | 1 | trivial | ||
640.2.s.d.287.3 | 18 | 80.27 | even | 4 | inner | ||
720.2.z.g.163.6 | 18 | 24.5 | odd | 2 | |||
720.2.z.g.667.6 | 18 | 240.227 | odd | 4 | |||
720.2.bd.g.307.8 | 18 | 120.77 | even | 4 | |||
720.2.bd.g.523.8 | 18 | 48.35 | even | 4 | |||
1600.2.j.d.143.7 | 18 | 80.29 | even | 4 | |||
1600.2.j.d.1007.3 | 18 | 40.3 | even | 4 | |||
1600.2.s.d.207.7 | 18 | 80.13 | odd | 4 | |||
1600.2.s.d.943.7 | 18 | 40.19 | odd | 2 |